diff --git "a/data/dm_maths/full_data_1/10851_11255.jsonl" "b/data/dm_maths/full_data_1/10851_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10851_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x(o) = -o**3 + 4*o**2 + 2*o + 1. Let b = -3 + 7. Suppose 5 = 3*i - b. Let z be x(i). What is the greatest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**4 - 11*k**3 + k**2 + k - 1. Let s(i) = i**5 - 3*i**4 + i**3 + i**2 + i - 1. Let v(f) = -j(f) + s(f). Factor v(w).\nAnswer: w**3*(w - 6)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + (-2 - (1 + -2)). Suppose 0 = -2*c - a + 42. Let s = -215 - -310. What is the greatest common factor of s and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/10)\/((-1)\/5). Let c be 4 + 4\/(w\/(-3)). Suppose -2*b - 4*j = -106, -2*j + j = -4*b + 194. What is the highest common factor of c and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6052\/(-18) + 1\/(9\/2). Let t be (62 - 0)\/(2\/(-17)). Let m = h - t. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2.8. Let f = -448 + 453. Let z = 2.1 - 2. Which is the closest to q? (a) f (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110001100011 - 11111010?\nAnswer: 100101101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1174386 months in centuries?\nAnswer: 0.0000978655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43606 = 3*w + 43567, -5*q + 2*w = 51 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4287979 to the nearest ten thousand.\nAnswer: 4290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -12, 0, 11, -5 in increasing order.\nAnswer: -43, -12, -5, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292, 382, 484, 604, 748?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2104 (base 13) to base 15\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - v + 4*v)*(-82*v + 109*v + 172*v) to l + u*v**2 + k*v and give u.\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 97372458?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-3454)\/52)*-2. Let s = g - -135. Let q = 506 - 507. Which is the third biggest value? (a) -0.2 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-14) - (-2 + (-345)\/(-70))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44 + 39)\/(2\/(-34)). Suppose 140*l + z = 145*l. Solve 2*q + 0*q + 18 = -4*h, -h - 3*q = l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1. Let i(q) = -26*q - 5. Let h(s) = -i(s) - 5*n(s). Let j(x) = -2*x. Give j(h(o)).\nAnswer: -52*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u**21\/u)\/u)\/u)\/(u*u*u**(-3\/4))*u**9\/u**(-30) assuming u is positive.\nAnswer: u**(227\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 1115, -4, -22, 3 in decreasing order.\nAnswer: 1115, 5, 3, -2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*j - 6. Let b = -14 + 2. What are the prime factors of b*1*(-1)\/j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23545441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2106742, -2106661, -2106578, -2106493, -2106406?\n\"Answer: o**2 + 78*o - 2106821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 685 - 395. List the prime factors of n.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883 - 69 = 37*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -21 - -10 - 4 - -62 - 5\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6787*s**2 - 28168 with respect to s.\nAnswer: -13574*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*j + 5 = 0, 0*h + 15 = 5*h + 2*j. Put h, -5, 9 in decreasing order.\nAnswer: 9, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**4*i**2*n**2 - 29*a**3*n**3 + a*i**2*n**3 - a*i**2*n**2 + 4*a*n**3 - i**2*n**3 wrt a?\nAnswer: 12*a**2*i**2*n**2 - 174*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Let i = -7889\/34 - -232. Are i and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(425378\/(-24078))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hes when three letters picked without replacement from evssvcvvh?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/24*2)\/(12\/624).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = 741422 + 928990. Let k be (-36)\/72 - t\/2. What is k rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 8*m**2 + 8*m + 9. Let p be j(-6). Let r = p - 13. Solve -d - 4*d - r = -4*z, -20 = -4*z + 2*d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30944 divided by -1.\nAnswer: -30944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -5, -1\/2, 4, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 - (-6)\/(-70). Let o be (-58)\/87*(-45)\/6. Which is the closest to n? (a) -0.2 (b) -12 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) 0.4 (c) 3 (d) 5 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 32 = 3*k - 5*g, -2*k + 4 = -3*g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7727 - -0.8727. Which is the closest to 4\/15? (a) -1\/4 (b) 1 (c) i (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 4*s - 3. Let x be d(-4). Let j(z) = z**3 + 6*z**2 - z - 2. Let u be j(x). Let k = 210 - -42. Calculate the highest common divisor of u and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -47808.574379296?\nAnswer: -47809.074379296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1352 - 4734. Let k = b + 3382.001841. Round k to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 27*c + 4653 = 66*c for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + a8?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(sqrt(11) - (-1*sqrt(11))**2) + -3.\nAnswer: -168 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0 - 6 = 0. Let s be (-12 + 0 - n)\/(-2). Let b = s + 2. Calculate the lowest common multiple of 5 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000225027 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-105)\/(-10) - 0)*4. Let z be 10*1\/(10\/56). What is the highest common factor of s and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*l = 134*l - 237*l - 2430. Suppose 3*h - 2*x - 1 = 9, x = 5*h - 19. Suppose -h*k + 57 + 3 = 0. What is the highest common divisor of l and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17252 divided by -4313.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -785592, -785638, -785684, -785730?\n\"Answer: -46*u - 785546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -191 divided by -648\nAnswer: 191\/648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-21) + 12\/18?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 50.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 44\/5 of a second?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - a + 730 = 0, 0 = -4*x + 14*a - 17*a + 1464. Calculate the highest common factor of 22 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j + 0*j**2 + j**4 - 4*j**2 - 3*j**2 to l*j + z*j**4 + a*j**3 + q + n*j**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:12 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 14*h - 35. Let u be n(-5). Put 1, 5, u in descending order.\nAnswer: u, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r. Let m = 2 + r. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/3 + -37\/9. Suppose 9*m - 21 = 2*m. Which is the second biggest value? (a) 2\/3 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3654982 divided by -22.\nAnswer: -1827491\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -7. Let s be -2 + k - (-24)\/(-2). Let t(z) = 8*z**3 - 11*z**2 - 3*z - 17. Let b(g) = -3*g**3 + 4*g**2 + g + 6. What is s*b(d) - 4*t(d)?\nAnswer: d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5700\/(-5130)*3\/30?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -26*f - 123. Determine u(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - (-2)\/(-7). Let f = 41 - 29. Let w = 17 - f. Solve n = w*j - 4 - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2 and -91\/510.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*u + 1. Let l be 1 + 0 + -1 + 5. Suppose -u = 2*v - l. Solve 0 = 5*j - v*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -985869, -985858, -985847, -985836?\nAnswer: -985825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 64*t**2 + 636*t - 41. Determine z(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times 1.445?\nAnswer: 76.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 780173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 12*t**2 - 8*t - 14. Let v = 35 + -17. Suppose 3*h + 5*j = 29 - 10, 2*j - v = -2*h. What is the units digit of n(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 take away -557?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by -12\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053413 (base 8) in base 16?\nAnswer: -4570b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:30 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/273*(-7)\/(-6)*2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r**3 - 5623*r**2 + 5623*r**2.\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527935 - 1055882 + 527929 + 7*j**2.\nAnswer: 7*j**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) 0.5 (c) -11 (d) -1.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -0 - 9. Suppose -8 = -4*a - 4. Let m = v + a. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-3)*(y*y**9)\/y*(y*y**(2\/5)*y*y*y)**16)**(12\/11))**50 assuming y is positive.\nAnswer: y**(50040\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, z: 13}. What is prob of picking 3 z and 1 t?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z. Let o(q) = -4*q + 3. Let i be 213\/3 + 3*-2. Let s(n) = 91*n - 65. Let l(m) = i*o(m) + 3*s(m). Calculate y(l(j)).\nAnswer: 52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (68\/663)\/(4\/(-6)*-1)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*i - 12, -4*i - 9 - 1 = -3*z. Suppose -30 = z*b - 4*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - 12 - (186 + -159)) + 0 + 103?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.21763898 rounded to 4 decimal places?\nAnswer: -4.2176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*u + 763 - 28 = 0, -5*u - 147 = -k. Does 39 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**4 - 3012955*c**3 - 767533978 wrt c?\nAnswer: -12*c**3 - 9038865*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/7 + 46*z**2\/7 - 270*z - 45198\/7 = 0.\nAnswer: -27, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8063 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 6, 1, -0.25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 + 0.03. Let x = 58.014 + -58.7. Let q = -0.314 + x. Is c at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 13*l**2 - 11*l - 5. Let j(a) = -1. Let n(s) = -j(s) + z(s). Let i be -18*(8\/(-3) + 2). What is the units digit of n(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1)\/(4\/92). Suppose 3*a + 3 = -5*u - 10, -3*u = -2*a + b. Factor 0*w - 1\/4*w**2 - w**5 + 0 + 7\/4*w**a - 1\/2*w**3.\nAnswer: -w**2*(w - 1)**2*(4*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -1. Let y be (2 - -70) + 1 + -1. Let a = y - 66. Calculate the least common multiple of h and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dfddfddfddf?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.313, -656, 5\/4 in decreasing order.\nAnswer: 5\/4, 0.313, -656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5369 - 2778. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q**5 + 610*q**4 + 8335*q**3 + 48060*q**2 + 110720*q + 70400 = 0. Calculate q.\nAnswer: -20, -8, -11\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 388730 + 388730.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = 0, 4*b - 4*g - 7899 - 10573 = 0. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 7*v**5\/30 + v**3\/6 - 9*v**2. Calculate u(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -56*w - 51. Let q(r) = 22*r + 23. Let s(v) = -9*q(v) - 4*x(v). Let j(g) = 9*g - 1. Calculate -8*j(t) + 3*s(t).\nAnswer: 6*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18806115 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 94279323.6us in weeks?\nAnswer: 0.000155885125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*m + 934 + 2134 = -2476 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**4\/12 - 2*h**2. Let g(u) = -2*u**2 - 11*u. Let b(m) = m**2 + 4*m. Let y(o) = 11*b(o) + 4*g(o). Give q(y(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3025) - 1*sqrt(3025))\/sqrt(5) + -3 + -4*(-1*sqrt(5) + sqrt(5)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306857032 to the power of 1\/3, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3333 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 11:14 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4063809.7 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*t - 2*t. Let y(d) = -d**3 + 2*d**2 + 5*d - 2. Let g be y(3). Let c(a) = 38*a - 148. Let v be c(4). Solve t*h - g*h = -v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 12:13 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71 and 11573?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, a: 2, s: 5}. Give prob of picking 4 s.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9c + 7538?\nAnswer: 747a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -14. Calculate the remainder when 3\/9 - (-53)\/3 is divided by (v + 3)\/((-1)\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:17 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*y - 1390 = 5099 + 1423 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33636 or -33645?\nAnswer: -33645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.06 (b) -1\/24 (c) -2\/3 (d) 227 (e) 1\/194\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 14\/(-12))*4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1077916*o**3 - 247523*o**2 wrt o?\nAnswer: -6467496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024237448 rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 4*u + 5. Let g(n) = 3*n + 4 - 21341*n**3 + 0 + 21340*n**3. Determine 3*g(m) - 2*h(m).\nAnswer: -m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(3\/2)\/k)\/k)**(4\/33)*k*k*k*k**8\/k*((k*k**14\/k*k)\/k)\/k*k)**(1\/35) assuming k is positive.\nAnswer: k**(38\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(3 + 54\/(-12)). Let w be (0*4\/24)\/a. Let i = -0.9 - -1.9. What is the closest to 0.08 in 0.2, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544195547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.068.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 4:42 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -76*l + 57*l + 3*l - 16 + 3*l. Calculate n(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 46 + -25 + 11 - -9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623*i - 98*i + 42968 - 42968.\nAnswer: 525*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -0*c - 3*c - 2*n, 6 = 5*n - 3*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 65*n + 1150.\nAnswer: -5*(n - 10)*(n + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r + 3. Let s be h(-2). Let d(a) = 24*a**2 - a - 2. Let v be d(s). Solve -2*b + 6*b - 3*k = -v, -b + 4*k - 9 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 2*s - 128*s**3 - 257*s**3 + 252*s**3 + 2*s.\nAnswer: -133*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21 - ((2 - 4)\/(-2) + 0). What is the greatest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.70447l in millilitres?\nAnswer: 64704.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 + 4*z**3 - z**5 - z**5 + (-2*z**2 + 2*z**3 + 2*z**2)*(4*z**2 - 4*z**2 - 2*z**2).\nAnswer: -5*z**5 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - ((-3*2 - -4) + 207\/3). Put 1, i, -4\/5 in descending order.\nAnswer: 1, -4\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o + 12*o - 6*o - 3*o. Let j(m) = 3*m**2. Give j(b(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2242 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/(1\/(-3)). Let t(r) = -r + 1. Let h(u) = -14*u + 6. Let g(k) = z*h(k) - 10*t(k). Let j be g(-6). Solve -j = -6*n + n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*c + 64*c + 19*c + 1648952000. What is c rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -154 and -155 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-11)*(187\/(-85))\/(36\/90)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(12\/11)\/(o**(-4\/3)\/o*o)*o*o\/o**(-7)*o\/(o**(-1\/6)*o) assuming o is positive.\nAnswer: o**(255\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7203 - -7349. Calculate the remainder when 2746 is divided by a.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 = -14. Suppose 0*w + p*w = 80. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 3)*(-4 - 7 - 462) - 5 + 1 + 0)*(-4*h + 2*h + 0*h).\nAnswer: 1900*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8924982?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015172899 to 7 dps.\nAnswer: 0.0001517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*n**5 + 4*n - 107 wrt n?\nAnswer: -1940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1339 and 56\/2575?\nAnswer: 33475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -760 - -757. Sort -10, d, 2, 1 in descending order.\nAnswer: 2, 1, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-1980)*6*-1*2*-1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {u: 6, c: 6}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.42 (b) -4 (c) 3 (d) -0.2 (e) -117\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 3*a**2 + 4 + (-2*a - 4*a + a)*(6*a + 5*a - 4*a) + a**2 - 4*a**2 + 4*a**2.\nAnswer: -31*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -683*p + 220*p + 249*p + 269*p + 7 + 1 to the form t*p + o and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 240 = y - 2*v, 5*y + 297 = v. Let k = 62 + y. Let o(c) = 0*c**k + 5*c**2 - 4*c - c + c**3 - 4. What is o(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*d**3 - 53973*d**2 - 61072350*d + 91729944 = 0. What is d?\nAnswer: -1018, 3\/2, 10012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-3))\/4)\/((-17)\/51).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xngr when four letters picked without replacement from {w: 3, r: 2, g: 4, m: 3, n: 1, x: 2}?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, x: 2, k: 3, z: 2, j: 3}. What is prob of sequence xu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.96 + -3. Let x = i - -4.04. Let a = 2 - x. Put a, 2\/7, 3 in increasing order.\nAnswer: a, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462726 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1387, 6083, 14103, 25447, 40115?\n\"Answer: 1662*m**2 - 290*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 45*s + 262. What is x(-38)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 227035509377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5205 - -5202. Sort r, 6, 7, 0.\nAnswer: r, 0, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 3\/7, 151, -1\/2, 3, -1 in ascending order.\nAnswer: -77, -1, -1\/2, 3\/7, 3, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 16*c - 198 = 0. Is c a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/15 in 0.1, 726, 0.12, -20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 6 = -0*k - 4*k, 0 = -3*k - z - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/30 - 2*j**2. Let t(o) = -4*o**2 - 5*o. Let r(y) = y**2 + y. Let i(z) = -5*r(z) - t(z). Calculate b(i(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1096 + -572. Suppose w + 256 = -x. Calculate the common denominator of -145\/18 and (w\/32)\/((-9)\/12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-2*s**3 + 2*s**3 - 2*s**4 + 4*s**2 + 2*s**4 - 4*s**2 + (-3*s**2 + 1 - 1)*(-s**2 + s**2 + s**2) + 8*s**4 + 0 + 0).\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.712 and 6059.\nAnswer: 6058.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16129126*u**2 - 4*u**3 + 16129126*u**2.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 37*r - 2. Suppose 0 = -5*l + 5, 2*n + 6*l - 2*l - 6 = 0. List the prime factors of m(n).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101869588 to the power of 1\/2, to the nearest integer?\nAnswer: 10093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -630400 + 444041. Let z = t - -49359. What is z rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102 + 87 + -1 + -3 + 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -19 - 13 - (4 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12 - 15 - 4 + 2*y. Suppose -51 - 133 = 4*c. Let a = c + 54. What is x(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**4\/12 + x**3\/6 + x**2 - 3*x. Let m be u(0). Factor -j**3 - j**m - 4*j + 3*j + 2*j**3 - j**4 + 2*j**2.\nAnswer: -j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 37 - 26 = 0. Suppose 23*o = q*o + 128. What is the lowest common multiple of o and 58?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 162*n*s**2 + n*s + 2345068*n + 187*s**2 - 18*s wrt s?\nAnswer: 324*n*s + n + 374*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517785513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -19*v - 24*v + 61*v - 29*v. Let n(g) = g. Give n(s(w)).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121925 is divided by 281?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -4*s**5\/5 + 14*s**4 - 140*s**3\/3 - 100*s**2 + 639. Let u(l) = 0. What is l?\nAnswer: -1, 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1293*k**2 - 10*k + 15. Is t(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-20) + 5\/((-1800)\/(-44)). What is the third biggest value in -14, 1, n?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*k - 113*k = 9168 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*k - 28315 = 278*k + 48*k + 1793 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u + 7480 = 99*u + 56*u - 34*u for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -36*c**2 - 4*c - 4. Let k be q(-1). Let x = k - -156. Does 15 divide x*(-3 + -1)*(-2)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 331969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3557260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**3 + 174*p**2 - 4053*p - 3. Let d(q) = -q**3 + 3*q**3 + 77 - q - 2*q**2 - 78. Let k(v) = -3*d(v) + w(v). Solve k(f) = 0.\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 r when three letters picked without replacement from {a: 2, r: 4, w: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/17, -1\/10, 4\/7, -2, -2\/9, 3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(8\/7)\/o)\/o**(-20))\/((o*o\/(o\/(o\/(o*(o*o**26)\/o*o*o*o))))\/(o**38\/o)) assuming o is positive.\nAnswer: o**(596\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 2) + (23 - 13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 448 + 62. Let d be (-1447)\/(-5) - (-10)\/(-25). Let i = v - d. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 20 = -2*k - 3*k, 0 = 5*q - 2*k - 23. Suppose 5*x - 5 - 5 = 0. Suppose -q*r + 28 = -x. Solve -b = -r*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 689 = -2*s. Let l = -51 + s. Let n(k) = -6*k**2 + 4*k. Let t(g) = 4*g**2 - 3*g. Let i(a) = 5*n(a) + 7*t(a). What is i(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 3*o + 3. Let s(q) be the first derivative of q**3 - 7*q**2\/2 - 6*q - 38. Calculate -7*f(n) - 3*s(n).\nAnswer: -2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -161497.024 rounded to the nearest one thousand?\nAnswer: -161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0 - g**3 - 14*g**2 - 2 + 9*g + 11 - 22*g. Let f be v(-13). Suppose f = 2*h + 6*q - q, 2*q = 2*h - 2. Calculate the remainder when 3 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s = -5*c + 485, -589*s = 4*c + 599*s - 1192*s + 28 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -130.18 * -0.6\nAnswer: 78.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 2\/7 (c) 5 (d) 29\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6045640 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -500*k - 32. Let d(t) = -375*t - 23. What is 11*d(l) - 8*j(l)?\nAnswer: -125*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 3:33 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112941 and 4294161.\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-9) - (-2)\/(-9). Suppose -2*g + 4*l = -58, 0 = -d*g - 0*l + l + 137. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2987548577 to the power of 1\/2, to the nearest integer?\nAnswer: 54658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 70580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -70b34 - 4ba?\nAnswer: -71321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1958034?\nAnswer: 2, 3, 13, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*15 - (4 - -130 - 160).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*x - 5*m, -m - 2 = -4*x + 2. Find q, given that 3\/4*q**5 - 2*q + 7\/2*q**3 + 13\/4*q**4 + x - q**2 = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 112 = 53. Let s(y) be the second derivative of 1\/5*y**w - y**2 + 0 + 0*y**4 + 0*y**3 + 5*y. What is the derivative of s(r) wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 10\/3, 29, 4, -1\/8, 3 in descending order.\nAnswer: 29, 18, 4, 10\/3, 3, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 11:00 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*d**4\/9 - 332*d**3\/9 + 8*d**2\/9 + 32*d\/9 = 0. Calculate d.\nAnswer: -1, -4\/11, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73924365*h + 163003597.\nAnswer: 73924365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3169611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -120*k + 1065080 - 104000. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 49. Solve -p - 5*x + 1 = -s, x = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1096? (a) -22\/5 (b) -0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 4:14 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 12. Let m be t(-10). Solve 0 = -n + 4*r - 17, -2*n - 3*r + m*r = 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 29651 (b) 3 (c) -0.04 (d) -4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1197, 1155, 1065, 903, 645, 267?\n\"Answer: -4*f**3 - 14*f + 1215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 15. Which is smaller: -3\/35 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2 + 47*f + 143. Let o be d(-3). What is the fourth biggest value in -2, o, -0.4, -3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 1 + (123 - 39) + -57.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 1. Let i(u) = 7*u**2 + 9. Let k be (-2)\/(-17) - 616\/34. What is k*s(f) + 2*i(f)?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from dmmdymymdm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 7. Let f be 22\/(-6) - (-1)\/(-3). Let p = f - q. Is p less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = v - 47 + 23, -j + 4*v = 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 - 9*t - 6. Suppose 0 = -0*v - 3*v + 6. Suppose -4*q = -2*z + 2, -5*z + v*z + 2*q + 15 = 0. Is n(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 135112*y**3 - 3 - 135002*y**3.\nAnswer: 110*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gizgszgcgzgz. What is prob of sequence gs?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 531 + -516. Let m = 31 - -14. What is the greatest common factor of o and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -822875*t + 1645761*t - 822888*t + 52.\nAnswer: -2*t + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 11*r**2 - 9*r + 5. Let v be g(10). Let f(j) = j**3 - 16*j**2 + 21*j + 22. Is f(v) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544692?\nAnswer: 2, 3, 19, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (6\/(-10))\/((-39)\/325)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 + 2*z**2 - z - 1. Let x be r(1). Suppose -2*h = -5*v + 22 + 85, -104 = -5*v - h. Suppose 0 = -x*f + v + 11. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -1 (c) -4.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7568 divided by -193.\nAnswer: -7568\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dud when three letters picked without replacement from {f: 1, u: 11, d: 7}?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 165787177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000091464 to 7 dps.\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 6. Let f be a(-5). Suppose -f*k + 4*m + 8 = 0, 0 = 3*k + 2*m + 1 - 32. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 12:43 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 20 = -17*x. Is x not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55137, -110294, -165477, -220698, -275969?\n\"Answer: -2*z**3 - z**2 - 55140*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30\/1 - -3 - 0 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19283 divided by -4\nAnswer: -19283\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - 1*sqrt(187))*1 + sqrt(187))\/(sqrt(11) + sqrt(275) + (sqrt(275) - 2*sqrt(275)) + sqrt(275) + sqrt(275) + sqrt(11)).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325, -613, -887, -1141, -1369, -1565, -1723, -1837?\nAnswer: -1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 265 and 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - 6\/(1 + -2 - -3). Suppose 3*k = -8*s + 4*s - 36009, t*k - 35994 = 4*s. What is s rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 544*n - 8*n**2 - 544*n. Let g(c) be the first derivative of -1\/2*c**2 - 1 + 0*c. What is f(g(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/5 (b) 20 (c) 2\/11 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 8:20 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 20*r**2 + 28*r - 141. Determine p(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 - 25 + 14)*(-7*z + 16*z - 3*z - 7*z - 10) as c + v*z and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5715331308 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -3*w**5\/130 + 5*w**4\/39 - 4*w**3\/39 - 108*w**2 + 32. Let k(i) be the second derivative of n(i). Factor k(t).\nAnswer: -2*(t - 2)*(9*t - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 154 = -13*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3729, -7572, -11617, -15960, -20697?\n\"Answer: -16*p**3 - 5*p**2 - 3716*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4671567 (base 8) to base 12.\nAnswer: -515847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -32454?\nAnswer: 32445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11613049 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, r: 2, x: 3, f: 1}. What is prob of sequence trr?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/133, 0.2, 1\/3, 5, -2.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -9*u - 14 + 8. What is the closest to 2\/5 in 0, u, -0.02681?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = 16. Let o be 2 - (r + 2 + 4 + 0). Solve -o = -5*s - 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21849 and -22.47?\nAnswer: 21871.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.4 (c) -0.2 (d) -2\/9 (e) 8487\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2*d - 12, 4*m = -1390439*d + 1390442*d + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/2041 and 27\/76349.\nAnswer: 11986793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26773*h - 845*h + 11816*h.\nAnswer: 37744*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5370 = 12*j + 1338. Does 42 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + -6*(sqrt(5) - sqrt(5)*4*-5)).\nAnswer: 12 + 378*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11032432 - 211?\nAnswer: 11032221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 935860938 divided by 311953646?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, c: 8, v: 1}. What is prob of sequence ccvc?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*d = -14, -5*d - 25 + 57 = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-1792)\/40)\/7)*(-28)\/(-3)?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:42 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/(w*w**15))\/w)\/w*w*w**(-1\/41)*w)\/((w*w**(-4\/3))\/w*w\/(w\/(w*w**17))))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1067, -10, 5, 0.\nAnswer: -1067, -10, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16247245 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uua. What is prob of picking 2 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 253?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -w + v + 6, 3*w + 3*v - 6 = 0. Solve z - 4*z = 5*a + w, a = -4*z - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-10))\/((-2)\/10). Let w(m) = 3*m**r - m**2 - m**2. Let b(t) = 3*t. Let y(n) = -n**2 - 5*n. Let z(j) = -5*b(j) - 3*y(j). Determine w(z(g)).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 18337516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -162 + 168. Let l(s) = -3*s + 7*s - 6 - s. What is l(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1664*p - 10 = -1662*p, -5*p - 41 = -4*n. Solve 0 = -2*l - 2*f - 4, f - n = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + (-5 - (11 + -5 - 4 - -3)) - -11.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -88e?\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 + 160*p**2 - 2423*p + 2262 = 0. What is p?\nAnswer: -174, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:31 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*g**5 + 122*g**2*t - g*t + 42*g - 25*t wrt g.\nAnswer: -400*g**3 + 244*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, m: 7, p: 2}. Give prob of picking 2 u.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-9)*32\/160. Let z(p) = p**3 - 5*p**2 - 5. Let g be 1*(6\/3 + 3). Let n be z(g). Which is the third biggest value? (a) o (b) 2 (c) -0.5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 6*h**2 - 6*h + 5. Let b be q(5). Let u be 3\/12*-2*b. Find the second derivative of u*l**4 - 3*l**4 + l**4 - 2*l wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(63\/20))\/((-14)\/(-21)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, b: 12}. What is prob of picking 1 b and 3 e?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 6898, 2, 4, -2 in descending order.\nAnswer: 6898, 4, 2, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -2802875?\nAnswer: 2802875.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 11 - 196 = 0. Let k = v + -49. Calculate the smallest common multiple of k and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0*o**2 + 3 - 2)*(2 + 7 + 2).\nAnswer: 11*o**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111122 + -11?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 204 + -201. Let c be (-2)\/5 - 6\/(-15). Suppose c = -r + v. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 481*l**3 - 3*l + 2*l**2 + 473*l**3 - 7*l - 3*l - 951*l**3 - 13. What is v(-4)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 7*t - 66. Suppose 0*h - 428 = -h. Suppose 4*q + 104 = 5*q + 2*v, -4*q + h = 4*v. Calculate the greatest common factor of q and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/(507\/6) - (-50)\/13. Suppose -4*f - 2 + 30 = 4*v, 2*v + 10 = m*f. Solve 13*p + f = 11*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.86 - -19.14. Let o = m - 19. Is o greater than -12\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (40 + 269 + 91)*(-856 - 39*f + 856) as y + r*f and give r.\nAnswer: -15600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3821325 by -1.\nAnswer: -3821325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18*6\/324 + (-4)\/(-6). Let f(d) = -12*d**3 + 2*d**2 - 2*d + 2. Let c(i) = i**3 - i**2 + i - 1. What is b*f(r) + 2*c(r)?\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a + 11. Let z = -48 + 26. Let x(s) = -s - 1. What is z*x(l) - 2*v(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14, -28, -40, -50, -58, -64, -68?\n\"Answer: b**2 - 17*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 990\/900*10\/(-4)*(-12)\/22?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 44335092481*v**5\/2 - 266011607681*v**4 - 288165467574*v**3 + 13686185*v**2 - 325*v\/2 = 0?\nAnswer: -1, 0, 5\/210559, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 4*z + 7. Let p be h(-6). Let i(b) = -b - 6. Let q be i(p). Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 389*p**2 - 86*p**2 - 2*p to the form m*p + r + y*p**2 and give y.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5) + 2 + 1 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-80)*-2*1. Let w = 0.1 - 0.2. Which is the closest to w? (a) k (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 77\/3 of a day?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -0.06, -28, -0.1, 2, 14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3 and 0.0292?\nAnswer: 0.06716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8334 <= 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/2))**(-4\/21)*(z**(-2\/13)\/z)**(2\/35))**40 assuming z is positive.\nAnswer: z**(-1280\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-34)\/(-114))\/(4\/36) and 69\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let q(k) = k**3 - 5*k**2 - k + 7. Let d be q(5). Let f(w) = -4*w**2 + 2*w**d + w**2 + 3*w**2. Calculate f(t(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-18)\/90)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/21 + (16 - (230516\/(-651))\/(-22)). Let i be ((-5)\/(-1))\/(1\/1). Put i, 3, -1, x in decreasing order.\nAnswer: i, 3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -16. Let k = -16 - z. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-861)\/41*(-12)\/(-56))\/((-18)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37578 is divided by 1390?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 7:41 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10111100101 (base 2) to base 12\nAnswer: -a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399567 is divided by 79853.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(72)\/sqrt(4))\/sqrt(9) + -5)*4 + -3 + (sqrt(98)*1 + -5 - (sqrt(98) + 2 + sqrt(98) + 0))**2.\nAnswer: 124 + 118*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y = 358 + 269. Let g = 566 + y. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -25. Let q be 27\/6 - u\/6 - 2. Is 3\/11 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323547 is divided by 1634?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -11*q - 43*q + 1664. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/2)\/15)\/(6\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4\/p**5)\/(p**(-2\/3)*p**5*p*p))**(-25\/2) assuming p is positive.\nAnswer: p**(275\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 8. Let d be q(0). Let s = 16 + d. Let o = s - -4. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-216) + (-1)\/(-2). Sort -4, d, 0.05, 2\/11.\nAnswer: -4, 0.05, 2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7)*2 + 4 - (sqrt(14)*-2 + sqrt(14))\/sqrt(2).\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.91689mg in tonnes?\nAnswer: 0.00000009491689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/3, -0.09, -3, -6 in decreasing order.\nAnswer: 2\/3, -0.09, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*j = -2 - 0, -2*m + 2*j + 2 = 0. Suppose 2*k - 3*k + 1 = m. Let c be -2 + (k - 1) + 82. What is c rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.922861 weeks in microseconds?\nAnswer: 2977346332800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43111411 (base 5) in base 2?\nAnswer: -1011000101101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2736.2 rounded to the nearest ten?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3302*z. Let p(r) = 6600*r. Determine 4*p(o) + 7*x(o).\nAnswer: 3286*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**2 + 1. Let c(q) be the third derivative of -q**4\/6 - 3*q**2. What is n(c(h))?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 2)*-2 - (2 + sqrt(432)) - sqrt(21)\/(sqrt(700)\/sqrt(4)).\nAnswer: -71*sqrt(3)\/5 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32301011311 (base 4) to base 2.\nAnswer: 1110110001000101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1168.2 (c) 2\/5 (d) 10 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 986027*n**3 - 45815*n**2 - n + 1?\nAnswer: 5916162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -7 - -3 - 2 - (-13 + 11) - -875 is divided by 857?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 90, 157, 236, 327, 430?\n\"Answer: 6*v**2 + 37*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 900854 and 2980?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -400\/7 + 57. Let i = 0.02 + 1.98. Let n = 1.8 - i. What is the closest to 0.03 in n, 2\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 2*z**2. Let i(g) = 127*g**3 - 6*g**2 - 4*g. What is i(o) - 2*n(o)?\nAnswer: 125*o**3 - 2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 17. Suppose 23 + t = i. Let u = i + -28. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from zhmmzuyzz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 206 = 5*h + 46, -2*s = -3*h + 121. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-55) + 27\/(-8910)*7908\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13028\/3 <= -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6627, 14395, 24473, 38025, 56215, 80207?\nAnswer: 111165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.27 - -15.27. Let u = -15.2 + y. What is the third smallest value in u, -17, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32*-2*(-2)\/(-105)*(-18795)\/2506\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 133?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/9*a**2 + 1\/9*a + 0.\nAnswer: a*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 12) in base 16?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/(-57) + 21\/(-90). Which is the closest to 0? (a) -1 (b) -5 (c) n (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 188 - 496 - 5352*x - 565*x**2 - 1432 + 772*x + 25*x**3.\nAnswer: 5*(x - 29)*(x + 6)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -2, -0.2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 10*n**2 - 14*n + 5. What is the least common multiple of 4 and x(-6)?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.435961 to 0 dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40855741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*i + m, -4*m = -2*i - 3*m + 10. Suppose 0 = i*f + 13 - 1. Let l = 0 - f. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(14\/(-10))\/(-7)*-9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f**3 + 1445*f**2 - 1580*f + 175 = 0. What is f?\nAnswer: 1\/8, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 82, 181, 280, 379, 478?\n\"Answer: 99*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(352) + -1*sqrt(352)))\/((sqrt(80) - sqrt(80)*-1)\/sqrt(10)))\/((sqrt(280)\/sqrt(112))\/((sqrt(70) - -2*sqrt(70) - sqrt(70))\/sqrt(7) - sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v + 32*v = 4*z + 1, 2*z + 2*v = 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 8127\/59 (c) 2\/3 (d) -5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0435, -3, -0.4?\nAnswer: -0.0435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (0 - 11\/((-22)\/12)). Suppose 4*w = 4*p + w - 10, 0 = 4*p + i*w - 20. Sort -6, -2, 1, p.\nAnswer: -6, -2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 4*t + 16, 26 = 3*t + 35 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 273*r*x**3*z + 10*r*x**2*z + 3*r*x*z**2 + 5*r*x*z + 30*r*x + x**3*z**2 - 16 wrt x?\nAnswer: 1638*r*x*z + 20*r*z + 6*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2117, -2256, -2395, -2534?\nAnswer: -2673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 252 + 21. Let u = -272 + m. Let b = -12 + 17. What is the closest to u in b, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 778473.\nAnswer: 8563203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1944 divided by 1?\nAnswer: -1944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -f8e25?\nAnswer: f8e26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 245*r - 244*r - 602, -g - 4*r = -599. Does 36 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*w - 94, o + 493 - 442 = -w for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 960 divided by 15\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2528376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8976 + -8972. Let q(y) = -5*y**2 - 3*y. Let k(l) = -6*l**2 - 4*l - 1. Give s*q(g) - 3*k(g).\nAnswer: -2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4409 divided by 2.\nAnswer: 4409\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*c**2*m - 231*c**2 + 40*c*m**2 + 5386*m**2 + 11 wrt c?\nAnswer: -10*c*m - 462*c + 40*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 1. Let y be s(-2). Let t(h) = 2*h**2 - 2*h + 1. Let i be t(y). Let z = i + 13. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 209 + -210. What is the closest to -13 in -5, f, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67631.82 rounded to the nearest 100?\nAnswer: -67600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 12*d - 10. Let x be c(-13). Let s be ((-9)\/2)\/(x\/(-2)). Suppose 5*p = -4*n + 55, -3*p + p + 45 = -s*n. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29844 and 8?\nAnswer: 59688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186411\/11066132 + 3\/41602. What is the common denominator of s and -19\/2?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 0 + 1\/1. Suppose 4*l + z = -9, 0 = -5*l + i*z - 7 - 0. Sort l, 1, -1.\nAnswer: l, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -6, 11, 46, 105?\n\"Answer: u**3 - 2*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10\/k)**(-14) assuming k is positive.\nAnswer: k**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + -6*(-2 + sqrt(704))*2)*-5)**2.\nAnswer: -117120*sqrt(11) + 2549284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, -6, 0.3, -3\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7623) + -4)**2*-3 + 2.\nAnswer: -22915 + 792*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 0 + sqrt(112) + sqrt(7) + sqrt(49)\/(sqrt(14)\/sqrt(2)))*3)**2.\nAnswer: -432*sqrt(7) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 0. Let f = -54 - -59. Differentiate f*o - 1 - 4 - x*o + 2 with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -163*q + 159*q. Let s(f) = 4*f - 10. Let j be s(11). Suppose 2*c = -x + 62, -3*c + 3*x + j = -q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h - 4. Calculate k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**5\/30 + 14*s**2. Let j(g) = -72*g**2. Give k(j(v)).\nAnswer: -10368*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*(825\/75)\/99\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, m: 2, b: 8, x: 1}. What is prob of picking 1 b and 1 m?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4291 - -8375. Let h = b + -2391. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6284388, -6284463, -6284526, -6284571, -6284592, -6284583, -6284538, -6284451?\n\"Answer: n**3 - 82*n - 6284307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2092*n = -19*n + 72663 + 86958 for n.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107542.8km to micrometers.\nAnswer: 107542800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 23*b**2 + 27 + 2*b + 9\/4*b**5 + 0*b**3 + 0*b**4. Find the first derivative of c(r) wrt r.\nAnswer: 135*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18873698 - 4749758. Let o = -14123940.69000185 + m. Let f = o + 0.69. Round f to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1872864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.431 - 0.3. Let r = 0.475 - o. What is r rounded to two decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by -2786991\nAnswer: -220\/2786991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -85055, -85151, -85247, -85343?\n\"Answer: -96*r - 84959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let s = -2 - -1.5. What is the nearest to 2 in 0.2, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30801 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12512631 - 27?\nAnswer: 12512602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*z = -5*n - 1425, -816*n = -812*n + 3*z + 55 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 11440 to the nearest 100.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/52*-4 - (-11620)\/(-19422).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 289328 and 520?\nAnswer: 1446640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 4)*(h + 0*h - 2*h) - 7 + 70*h + 78*h - 151*h + h + 0 + 0 in the form d + v*h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00705781 to five dps.\nAnswer: 0.00706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**7\/6 + 13*u**3\/6 - 5*u. Find the second derivative of r(j) wrt j.\nAnswer: -140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3310 (base 5) in base 4?\nAnswer: 13013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*t - 2)*(-3 + 2 - 3) - 3 + 2*t + 3 + (-4 - 1 + 3)*(-2*t - 3*t + 4*t) to q + f*t and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1315\/15917 + -12\/1447. What is the second biggest value in 3, l, -71, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -576 divided by -72.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1859*p - 59383. What is j(32)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 3*d - 13, 2*d + 8*b = 4*b + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 492 - 133 - 332 - (1 + -6)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40668129 a multiple of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 198144*n - 9. Give s(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*k + 8 + 22. Solve t = -k*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528*k**2 + 5 + 1088*k**2 - 5 + 345*k**2.\nAnswer: 1961*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-106056)\/(-11784))\/(2\/((-136)\/(-12))).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0 + 1\/135*v**6 + 0*v**2 - 1\/30*v**5 + 1\/27*v**4 + 0*v**3 + 13*v. Factor c(p).\nAnswer: 2*p**2*(p - 2)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*y + 176*y**4 + 125*y**4 - 22*y - 19*y**4 wrt y?\nAnswer: 3384*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/4)\/((-2)\/(-32)). Let c = l + 11. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1118 - 1328 = -14*k. Put k, -1, -3 in descending order.\nAnswer: k, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 7*l**2 - 6*l. Let u be s(-6). Let v = 2 - u. Let k(y) = -3*y**2 + y**v - 3*y + y**2 + 3. Calculate k(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -268785.8 from -29.67.\nAnswer: 268756.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**5\/2 + 17*u**2\/2 - 3*u - 229. Let x(i) be the second derivative of l(i). Let b(d) = 4*d. Give b(x(c)).\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2454729615 to the power of 1\/4, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**5 - 402*z**4 - 13467*z**3 = 0?\nAnswer: -67, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(72 - 9860\/102).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n. Let y(f) = 393*f. Determine m(y(h)).\nAnswer: -786*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 11) + 765 + -742.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8932\/609*3\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3 - 127*c - 1 + 126*c. Let t be q(-9). What is the highest common divisor of t and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 26.961. Let v = 2.239 + o. What is the nearest to 0 in 0.4, v, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -391\/21 - -55\/3. Let l = -0.43 + 1.43. Which is the closest to v? (a) 3 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948 is divided by 142?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l*l**(-2\/23))\/l*l))**(-21\/8)*(l\/(l**(2\/37)*l))**22 assuming l is positive.\nAnswer: l**(8221\/6808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 100 = 4*a, 19 + 56 = 3*a + 4*y. Let r = -15 + a. What is the units digit of (-3)\/(-5) + 4\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3984 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -82\/11, -0.5, -2\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, -59, -5, 3, 2.9 in increasing order.\nAnswer: -109, -59, -5, 2.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -139, -2, 0.5, 5, -108, 3\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 18, w: 2}. What is prob of sequence vwwv?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9065 and 370.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3869564642 to the nearest integer?\nAnswer: 62206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -46\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147435 and 168.\nAnswer: 8256360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/7))**(2\/11)\/(((s**1*s)\/s*s)\/s)**(-29) assuming s is positive.\nAnswer: s**(2243\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 11*p**4\/4 + 70*p**2. Let d(g) = -g. What is c(d(m))?\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37260 rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37530 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - v = 4*j + 11, -2*j - 1 = -3*v. Let c be (j - -3)*-10 + 1. Let l be (-1)\/(-5) + c\/(-5). Solve 0 = 2*o - 4*o - l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33986 is divided by 16993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19418*h**5 - 124*h**3 + 30*h**2 - 13249 wrt h?\nAnswer: -1165080*h**2 - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*d**(1\/2))\/((d\/(d**(-3\/4)\/d))\/(d**1\/d)) assuming d is positive.\nAnswer: d**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444507 is divided by 147482?\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 110, 136, 162, 188?\n\"Answer: 26*s + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 14. Determine j(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -8*c + 12. Suppose c = 7*z + 17*z - 23640. Is 28 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, x: 1, a: 5, e: 2}. What is prob of picking 1 a and 1 c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*o**2 - 49435*o + 6 - 2 + 49431*o - 264*o**2 as v*o**2 + u*o + i and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(4 + -5) - 0. Suppose 17 = z*t + 23. Let a be (-1 - -39)*t\/(-4). Calculate the greatest common divisor of 19 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/649 in -1\/2, -0.4, -5, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7837.14 + -7792.1379. Let u = 50.4 + -5.4. Let v = u - a. What is v rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 13294*h. Let i(w) = -91*w - 17. Give b(i(a)).\nAnswer: -1209754*a - 225998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7412 + 19550. List the prime factors of x.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -13, 5, -5, 3, -307.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*g**3*u*z + 23*g**3*u - g**3 + 3*g**2*u*z + 2*u + z - 3 wrt g?\nAnswer: -114*u*z + 138*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b39 - 9?\nAnswer: -1b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/146944?\nAnswer: -1\/146944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 - 1 = 0. Suppose 6 = -4*a + d*b - 4, 2*b - 13 = 5*a. Is a < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1251*t - 6 = 1248*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k. Let g be i(-4). Suppose g*w = -0*w + 8. Solve 0 = -6*x + 4*x + w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 5*g - 3. Let v be l(-5). Let n = 0.22 + 0.03. Let q = 0.55 - n. Which is the closest to -2? (a) v (b) q (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7060*m + 2589865 - 2589865 in the form s*m + f and give s.\nAnswer: -7060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**5\/60 - h**2 + 4*h. Let o(j) be the first derivative of t(j). Let s be (-4)\/10 + 6\/15. What is o(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e1 (base 15) in base 10?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 253815, 507723, 761631, 1015539, 1269447, 1523355?\n\"Answer: 253908*s - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5*i, 4*h - 15 = 7*i - 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18995417.\nAnswer: 7, 577, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 181*i - 178*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1304 * -0.5.\nAnswer: 0.0652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 - 109\/(-3). Let q = 1154 + -1192. Let d = w + q. Let j(r) = -r**3 - r**2 - 2. Give j(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26225401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - q**2 - q - 3. Let s be (-3 - 4\/(-1))\/(-1). Let b = -4 - s. Is 15 a factor of w(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*g = -7, 396*k + 2*g = 400*k - 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30, -21, -12, -3, 6?\n\"Answer: 9*v - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -376, -771, -1164, -1555, -1944, -2331, -2716?\nAnswer: -3099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 19 = -40. Solve -r + 4*b = g, 2*r + 3*b = 21 - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Suppose n*x - 3 = 72. Solve 0 = 2*a + 3*a - x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) + (sqrt(126) - sqrt(126)*-1) + sqrt(126))\/sqrt(3))\/sqrt(6) - (-1 + sqrt(7) + -3)*-1)**2 + 5.\nAnswer: -40*sqrt(7) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.2 - -13. Let s = -1.1 - r. Which is the closest to s? (a) 0 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 6:00 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 29.5. Let q = -8 - n. Let r be 2 - ((-18)\/(-7) - 0). Sort q, r, -5 in increasing order.\nAnswer: -5, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 4*z + 4. Let y be h(4). Suppose 260 = 2*d - 5*b, 4*b + 404 = -46*d + 49*d. Calculate the greatest common divisor of y and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*o + m, -11*o + 8*o - 3*m = -30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 310?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 206 in increasing order.\nAnswer: -2, 3, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (-9 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7754364 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10000 and 1600?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 192 = -5*m. Let i = -19 + m. Suppose -3*z + i = 5. Calculate the greatest common divisor of 16 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140\/19 + 7465\/1026. Let b = d - -214\/2457. Is -1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 432376936?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2803*q - 61663. What is n(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 304*k + 1728. Determine j(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1072 and 224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251 divided by -3762.\nAnswer: 251\/3762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -3546 - 53641. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f**2 + 3*f**2 + 2*f**2 - 2 + 2 + 2*f**2 + (-4*f - f + 4*f)*(7 - 3*f - 7))*(2 - 2 - 4*f) in the form o + m*f + h*f**2 + k*f**3 and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/76)\/(9\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/1255815 and -163\/10620?\nAnswer: 5023260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -17\/5, -155, -0.11, -12?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2942 is divided by 146?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 - 13 - (7 - (34 - 6)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uduu when four letters picked without replacement from {u: 4, d: 3, m: 9}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161953270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -10 + 0 + 34 + 3 + -4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0656*-42.1738.\nAnswer: -2.76660128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2955958 centuries in months?\nAnswer: 354.71496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 0.8, -24\/13, 2.1, 1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/42)\/(-1*23\/18). Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 7. Let z(n) = 9*n**2 + 57. Let b(q) = 33*o(q) - 4*z(q). Factor b(k).\nAnswer: -3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 337934 + -20033. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 4, 320*j - 16 = 4*u + 316*j for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*h + 2*h - 82, 0 = -3*p + 6. Suppose h*b - 18*b = 8. Solve b*j = -j - 2*f - 4, 0 = -3*j - f - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*j + 2*f, -2*j + 34 = 3*j - f. Let t be ((-39)\/9 - -5)\/((-2)\/(-12)). Solve -t = -u - j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 5 (c) -2930 (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168 + -94. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2087*m + 2083*m - 3, -3 = -5*m - 6*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -26, -33, -36, -35?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/119 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 6 + 4 = 0, -4*l + z = 6. Let m(p) = -10*p**3 + 2*p**2 + 2*p - 1. Calculate the remainder when m(l) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 166.3 + -174. Let l = -7.4 - i. Are 0.5 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -7. Let z be (0 - 0) + 7*-4. Let g be ((-6)\/(-7))\/(b\/z). Solve -g = -a - a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -0.2 (b) -0.1 (c) -5\/89 (d) 49 (e) -6\/5 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 518 and 6.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6202149647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 1\/2*n**2 - 10*n + 1\/6*n**3 - 1. Let u(c) be the first derivative of z(c). Determine u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 5*b - 2*b - 204.\nAnswer: -3*b - 204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ec6 (base 16) in base 10?\nAnswer: -11974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 2*z - 16. Let t(i) = 2*i**2 + 5*i + 32. Let g(v) = -7*c(v) - 3*t(v). Let w be g(0). Calculate the greatest common divisor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9109, 17015, 24921?\nAnswer: 32827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Suppose 3*u = -6, 5*x - 39 - 16 = 5*u. Solve -z = -2*v - x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34263 and 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -170, -154, -116, -44, 74?\n\"Answer: 2*x**3 - x**2 + 5*x - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 w when three letters picked without replacement from bnbwwwwbwwbbnbnwbw.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y - 111. Is g(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - (2 + -5)) + -2. Let a = 8439 - 151841\/18. Calculate the common denominator of 338\/24 + v + 1 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26979 + -26968. Sort r, 0.2, -1\/4, 5, 2\/7 in decreasing order.\nAnswer: r, 5, 2\/7, 0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 5*b - 23, -4*a + b - 265 + 246 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.9 or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -2, -159, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1135*n - 385222 + 385222)*(1 + 7*n - 1) + 1 - 1 - 2*n**2 + (-n + 2*n - 2*n)*(-3*n + 4*n + n) - 5*n + 5*n - n**2.\nAnswer: -7950*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 2)*(-2*f**3 + 3*f**3 - 2*f**3 + (12*f - 2 + 2)*(8*f**2 + 8*f**2 + f**2)) as p*f**3 + n*f**2 + t + w*f and give p.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 6 - 3. Suppose g - 3628 = -4*w + 3*g, -2721 = -f*w + 4*g. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f = 22 + 68 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p = 3*b + 24, -4*b - 34 = 2*p. Let y = 20 + b. Find the common denominator of (1 + y\/(-8))*35 and 87\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46422697.\nAnswer: 46422697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*s - 23, 3*j - 51 = 2*s - 5*s. Let q(t) = t**3 + 7*t**2 + 7*t + 9. Let h = -7 + 1. Let w be q(h). Solve w*m - j = -0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 231\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - (-17 - (-20 + 29 + -24))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(63) - 2*sqrt(63) - sqrt(63)))**2 + -4.\nAnswer: -36*sqrt(7) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 z when four letters picked without replacement from {b: 3, h: 2, z: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 299.\nAnswer: -4\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/34*(-2176)\/3584.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -296 - -174. Let g = 53 + c. Let o = -46 - g. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 50\/7, -1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:33 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -3\/2 (c) 1.063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1915795?\nAnswer: 2\/1915795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13\/c*c**(-5))**(15\/4) assuming c is positive.\nAnswer: c**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -17*o + 238. What is t(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34367.73 micrograms in milligrams?\nAnswer: 34.36773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 151917800?\nAnswer: 151917800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -16, 3*x - 3*p + 2 = -1. Suppose s + 2*s = v + 1291, -x*s + 2*v + 1289 = 0. Is s\/((-3)\/(-4 + 1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3221404 (base 5) to base 16\nAnswer: d54c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4047 + 242827\/60. Let u(y) be the third derivative of -b*y**6 + 2*y**2 - y**5 + 0*y - 2*y**3 + 0 - 29\/12*y**4. Solve u(c) = 0 for c.\nAnswer: -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + sqrt(147) + -2 + 1)*-4)**2 + -3 + -4.\nAnswer: -448*sqrt(3) + 9417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5.1. Let x = 1.64 - 1.94. Put x, -3\/5, v in decreasing order.\nAnswer: v, x, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/21, 248\/7, -4, 10 in ascending order.\nAnswer: -5, -4, -2\/21, 10, 248\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (170 - 37 + 34)*(-2 - 5 - 4)*(2*f + 3*f - 4*f).\nAnswer: -1837*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(300)*1 + 3 - sqrt(300))*4)**2*-5.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 12. Let d be x(-7). Let y be ((-4)\/10)\/((-6)\/d). What is the closest to 1\/5 in 3, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 57 + 51 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 162*z + 30. Let k = -109 - -124. Let f(v) = -23*v - 4. Let w(b) = k*f(b) + 2*h(b). Let c(u) = -3*u**2. What is c(w(r))?\nAnswer: -1323*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m\/(m**17\/m*m)*m*m*m)\/m)\/(m*m*(m\/(m*(m\/m**(-1\/14))\/m))\/m*m*m)*(m\/(m*m**33)*m)**(-38) assuming m is positive.\nAnswer: m**(16829\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((6*sqrt(132)*2)\/((sqrt(72)*-1)\/sqrt(12)))\/(sqrt(10)\/((sqrt(30)*-2)\/sqrt(6))*-4).\nAnswer: -6*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/3, -37, -0.2, 1901, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01241605018 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13602311.5 + 13602092.238668. Let n = p + 272.2613387. Let f = -53 + n. Round f to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5 - 317*y**2 - 3*y - 3*y + 5*y + 322*y**2 - y**3. Give r(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + p + 7 = -2, 4*p = 2*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/35)\/(6\/45)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187 - 5*u + 361 - u - 174.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39 - -1.41. Let g = v + -1.9. Let j = 0 - 4. What is the third biggest value in -2, g, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 718 + -700. What is the greatest common factor of 1494 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t**3 + 49*t**2 + 1175*t + 329667 wrt t.\nAnswer: 3*t**2 + 98*t + 1175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {r: 2, v: 2, h: 1, g: 4, x: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 10. Let x = 7 + g. Let n = -1.0003 - x. Round n to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2908063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -3\/8, 3\/68, 1\/4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12989898 to the nearest integer?\nAnswer: 3604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8618791 - 1050?\nAnswer: -8619841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(7) - (sqrt(7) - sqrt(112))) + 3)*-2)**2.\nAnswer: 2400*sqrt(7) + 12100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160824.3 meters in centimeters?\nAnswer: 16082430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.037 - -0.937. Let k = -0.7 + a. Let h = -22 - -16. Sort -5, k, h.\nAnswer: h, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.9, -7, 0.02, 17, -18, -1.2.\nAnswer: -18, -7, -2.9, -1.2, 0.02, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 83 = -3*f, -2*p - 75 = -5*f + 45. Suppose 3*q = d + 21, q = -5*d - 3 + f. Solve -z + 4*c - q = 0, -4*c = -2*z + 2 - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-10))\/((-34)\/((-26860)\/(-138))) - (37 - 45)\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -341*l**5\/10 + 1704*l**4\/5 - 9869*l**3\/10 + 267*l**2 + 8192*l\/5 + 48\/5 = 0.\nAnswer: -1, -2\/341, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1\/944353343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (31 + (-16016)\/504)\/(45\/27)\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/4 + (18\/12)\/(-3). Solve -4*j + 20 = -w*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 2. Let c be k(0). Suppose j - 300 = 4*l, -600 = -2*j - 2*l - c*l. Round j to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:24 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67491, 67490, 67489, 67488, 67487, 67486?\nAnswer: 67485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 8. Let r be s(8). Factor -3*q + 0*q - 8*q**4 - 7*q + 4*q**5 + 6*q + r*q**2.\nAnswer: 4*q*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o**2 - 3*o - 4. Let u = -46 - -50. Suppose 0 = d - 3*b + 1, -d - u*b + 3*b - 1 = 0. What is the least common multiple of 4 and j(d)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 604385 by 5.\nAnswer: 120877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.31 + 0.11. Let d = -2 + 1.9. Let z = l + d. What is the third smallest value in z, -4, -5\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1524 and -611591.\nAnswer: -613115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -531379, -1062756, -1594133?\n\"Answer: -531377*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49684078*g*s**2 + 41*g*s + 81*g - 137*s + 1 wrt s.\nAnswer: -99368156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 6002722, -5 in decreasing order.\nAnswer: 6002722, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1635\/(-109)*6\/(-75). Let -w*x**3 + 3\/5*x**2 + 24\/5*x - 12\/5 = 0. What is x?\nAnswer: -2, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 45 - 49 = -i, -i = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-218)\/(-16)*262\/(-262)*8?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4671 and 373.663.\nAnswer: -4297.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 1. Suppose -5 = -0*v - 5*v. Let i be c(v). Let j = 5 + i. Solve -j*k + 5 = -0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268, -307, -396, -535, -724, -963?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 19759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 38558 (base 10) to base 14\nAnswer: 100a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0, -15, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 839053\/21833 + -6\/3119. Let k = b + -39. Let u be (5 + -3 - 0) + (-8)\/5. What is the smallest value in 4, u, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8507 - -8502. Which is the nearest to 1? (a) -0.1 (b) i (c) 5.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150.2931*-0.045\nAnswer: 6.7631895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9160 or -45794\/5?\nAnswer: -45794\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 54297 from 370.79848.\nAnswer: -53926.20152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -187.64 + 1.64. Let h = g - -201.2. Round h to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*r + 2. Let c be 1 - (-3*r + 1). Let f(w) = -w**3 + 6*w**2 + 2*w - 4. What is the lowest common multiple of f(c) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -92, -86?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 1. Let p(a) be the third derivative of -a**4\/24 + a**3\/3 + 4*a**2. Let w(d) = 5*o(d) - 3*p(d). Give w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.25. Let g = -2.05 - x. Let o = 4 + g. Which is the smallest value? (a) -1\/4 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -91, -142?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33708, -54248, -74786, -95322, -115856, -136388?\nAnswer: -156918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**5\/7 - 60*x**4\/7 + 279*x**3\/7 - 216*x**2\/7 = 0.\nAnswer: -24, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.9 - -23. Let g = u - 0.1. Let h = -10.8 + 11. Which is the nearest to -2\/7? (a) g (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 12:27 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 1. Let o be ((-3)\/6)\/((-6)\/36). Suppose 4*u - 5*w - 10 = 1, -3*u = -o*w - 6. Let z(c) = -2*c**3 - 3. What is u*z(h) + 4*p(h)?\nAnswer: -2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 25 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 36868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 12. Suppose -x + 6 + 4 = -n*y, 3*y - 2 = -x. Solve 589*z**3 - 2*z**2 + 0*z - 587*z**3 + 2*z**4 - 2*z**x + 0*z = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55071, 55078, 55095, 55128, 55183?\nAnswer: 55266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a - 1138202*a**3 + 26*a + 1136251*a**3.\nAnswer: -1951*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 4 + 4 + 8*g - g - 2*g - g - 4*g + 3*g + (-g - 3*g + 3*g)*(5 - 3 - 3) - g + g + 3*g to the form b + f*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1377 - 1379. What is the nearest to -1 in n, -6\/5, 5, 0.4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + 4*d)*((0 - 1 + 0)*(15*d + 3*d + 12*d) + 9 - 12 - 4 + 2*d + 0*d - d + 3*d).\nAnswer: -26*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/55 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/18*((-112)\/(-100))\/(38\/190)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 6:55 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 6:58 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183249 and 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmmmqm. What is prob of sequence qmmm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (2 + -6 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608781287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (3\/1 + (-4 - -1)). Suppose t*i - 2*b - 3*b = 80, -4*i - 3*b = -112. Calculate the greatest common factor of i and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -42*((7\/1 - 425\/34) + 3) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -5 + 5 - 1 - 4 + l**3. Let q(m) = -m. What is j(q(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2661)\/(-177) - (-52)\/(-1534). Solve 24*b = s*b + 54 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a (base 15) in base 12?\nAnswer: 4b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v + 0*v - 3*v)*(6*v + 0*v + 3*v)*(-4*v**3 + 5*v**3 - 4*v**3).\nAnswer: -108*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Let b(k) = -15*k + 3. Let u be b(h). Let r = 64 + u. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27\/76 - -1\/4. What is the third smallest value in 4\/5, d, 5\/3, 3\/4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 428383 and 23117518.\nAnswer: 2612279534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 150*z - 155.\nAnswer: 5*(z - 1)*(z + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-25) + (-125226)\/4050*3.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17741.7029 to 1 decimal place.\nAnswer: -17741.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -415 less than -1354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2162 + 1315.\nAnswer: 3477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 3\/2*c**4 + 1\/10*c**5 + 4*c + 27*c**2 + 0 + 9*c**3. Factor z(x).\nAnswer: 2*(x + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4 + o**2 - 4*o + 654*o**3 - 653*o**3 - 2*o**2. Let w be a(0). Solve w*m + 18 + 2 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/q**33))*q)\/(q*q**(-3\/20)))\/(q**(2\/11)*((q**37\/q*q*q)\/q)\/q) assuming q is positive.\nAnswer: q**(-14967\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1740 = 3*u - 3*i, -2*u - 3*i + 271 + 899 = 0. Suppose -5*s + 1488 = -4*h, -h = -2*s - 6*h + u. What are the prime factors of s?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-4))\/1)\/((-288)\/6336)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111225 is divided by 36945?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 17447538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3174, 16368, 38352, 69120, 108666, 156984?\n\"Answer: -v**3 + 4401*v**2 - 2*v - 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/11 in -0.1, -3723, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1905*d + 29066. Give m(-15).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/100*(-5)\/(-4). Let y = 11 - 15. Which is the fourth smallest value? (a) -5 (b) p (c) y (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + 402454343?\nAnswer: 402454316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2294*x**2 - 314.\nAnswer: 4588*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1008)\/(-39) + -2728 + 2704?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207 - 16*u + 207.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25774181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2500 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3729 + -2309. Calculate the highest common divisor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -24*g**3 + 7*g**2 + 4*g - 2. What is the hundreds digit of k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -270 + 287. Suppose -4*q - 17 + r = 0. Factor -2\/5*l**3 + 0 - 6\/5*l**2 + q*l.\nAnswer: -2*l**2*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/102 + 4*z**3\/17 + 36*z**2\/17 + z - 4. Factor m(g).\nAnswer: 2*(g + 6)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 30*x = -41*x + 5719. What is the smallest common multiple of 258 and x?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-156)\/(-8))\/13)\/((-9)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1266 - 474. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 106)*(-48)\/320*(-4)\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/14 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -29\/141?\nAnswer: -29\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(0\/(-2) + -1). Suppose -5*b + 3*u + 20 = -2*u, c*u = -3*b + 12. Suppose -12 = b*o, o + 9 = 3*w - 9. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - sqrt(432)*-2) + 2 + (sqrt(432) - (sqrt(432) + sqrt(432)*1 + 2) - sqrt(432)))**2*-3.\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 952, -1, 2 in increasing order.\nAnswer: -1, 2, 952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, w: 1, e: 1, g: 2}. Give prob of sequence gse.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 0.0408.\nAnswer: -0.1592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7623 is divided by 109.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*f + 28. Suppose f = -t - 4. Are -8 and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -13*m. Let t(n) be the second derivative of n**4\/12 + 9*n. Calculate b(t(q)).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p. Let b(j) = -4*j. Suppose 0 = -5*f + 25, -30 = -2*s - 3*s - 5*f. Determine s*b(g) - 6*c(g).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 69*g**2 - g. Let n(s) = s**2 + 4*s - 10. Let k be n(-6). Let v = k + 2. Let i be q(v). Round i to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9649608.18 to the nearest ten thousand.\nAnswer: -9650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30\/(-12))\/((-87)\/(-290)))\/((-2)\/(-6))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 + -62. Calculate the remainder when 64 is divided by x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 51638288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 692 = -3*x, -5*r - 3*x = -2*x - 3460. Calculate the smallest common multiple of 8 and r.\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -931466\nAnswer: -1\/931466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 21 + 6 + (-10 - 5) + -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 31801825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 329374 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccch when four letters picked without replacement from ccccccchcccc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3049, -2, 456, 6 in increasing order.\nAnswer: -3049, -2, 6, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 take away 28.37?\nAnswer: -28.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 50*j**3 + 839*j + 830*j + 54*j**4 - 2454*j + 817*j - 144*j**2 + 8*j**5 = 0.\nAnswer: -4, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000011 - 1010011?\nAnswer: -101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -671914059\nAnswer: 671914040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -19*(6 - (-5 - -3)). Let w be k\/(-12) + 4\/(-6). Solve -2*b + 3*b - j = 8, 5*b = -2*j + w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12157349*f - 330702581 wrt f?\nAnswer: -12157349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 70) + (2 - ((8 - -2) + -62 + 46)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/7)\/(a*a*a**(-3\/5)))\/(a**2*a\/(a\/((a*a*a*(a\/(a*a**(1\/10)\/a))\/a*a)\/a))*a) assuming a is positive.\nAnswer: a**(-481\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/42 - (39\/(-21) + -2). Suppose -3*p = 4*c - 781 - 358, -4*p = -y*c - 1552. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5922 and 692216.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12*f**2 - 7*f**3 - 10*f**3 - 18 + 18*f**3 + 10*f. Is k(-8) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1117b + 0?\nAnswer: -1117b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {t: 3, g: 1, l: 16}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = 5*w + 17, -3*s = -5*w - 31. Let k be 6\/36*8\/s. Sort k, -2\/11, 2\/5 in descending order.\nAnswer: k, 2\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 82*h - 4. Let n(l) = -318*l + 11. Let o(p) = -624*p + 22. Let q(a) = 11*n(a) - 6*o(a). Give 11*f(i) - 4*q(i).\nAnswer: -82*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b + b + 6*b)*(27 + 8 + b + 14).\nAnswer: 9*b**2 + 440*b - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 437 - 308. Let i = j - 92. Let q = i + -36.9999946. What is q rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 11:39 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, 2, 34, -3, 310 in ascending order.\nAnswer: -3, 2, 34, 183, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/4*(-2 + 6). Let t be -1*s\/(15\/(-9)). Let p = 0.237 + -0.037. Put t, 0, p, -2 in decreasing order.\nAnswer: p, 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*i**2 - 518*i**2 + 442*i**2 - 788*i**2 + 434*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/(v*v**(-2\/3)))\/(v\/(v**0*v))**43*((v*v**1*v*v)**11)**(4\/39) assuming v is positive.\nAnswer: v**(-32\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 365*l**2 - 5595*l + 1800.\nAnswer: 5*(l - 15)*(73*l - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/17)*p*p*p**(1\/5)\/p*p*(p*p**(-8))\/p*p*p**0*(((p*p**(-1\/2))\/p)\/((p\/(p*(p*p**(-4\/7)*p)\/p))\/p))\/(p\/p**(-2\/21)*p**(-4\/3)) assuming p is positive.\nAnswer: p**(-1913\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -674 - -677. Let x = 56.2 + -56. Put g, -4, x in increasing order.\nAnswer: -4, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3353 and 9101?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15193, 15200, 15207, 15214, 15221?\nAnswer: 15228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(396) + 2 + sqrt(396))*-2)**2.\nAnswer: 96*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2\/4 + 10785*a\/2 - 21573\/4 = 0 for a.\nAnswer: -7191, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/224 and 109\/280?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 618*m**2 - 817*m?\nAnswer: 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 2*z + 2. Let o be p(4). Let x be (-4)\/o - 32\/12. Let g = x - -16. Calculate the remainder when 41 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -72*p**2 + 3*p + 2. Let m be k(-1). Let g = 75 + m. Which is smaller: 5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (14377\/77 - 2\/(-7)). Is 27 a factor of 1*q + -2 + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a, 0 = 2*y + 3*y - 5*a - 235995. Suppose 3*u - 471805 = y. What is u rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-20)*(384 + -389).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uarjg. What is prob of sequence gja?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/23?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 418 = 22. Suppose -26 - z = -5*p. Calculate the remainder when 124 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/28 + (-74)\/14. Which is the smallest value? (a) 1\/4 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42566761169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + (-8 - (-4 + 1)). Suppose -5*x - 3166 = 4*r, -3*x + 0*r - r = 1894. Let z = 5692\/9 + x. Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*z - 8 = 0, 4*k + 8*z = 6*z + 4. Suppose k*o - 4*b - 2369 = -9*b, -2*o + 2*b + 1574 = 0. Calculate the remainder when o is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a day in minutes?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6390 - -6390.2. What is the nearest to 1\/5 in u, 2\/15, 14\/5, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26141960 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 0.4 (c) 5 (d) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 4*g**3\/3 - 414. Let y(w) = w**2 - 105*w. Determine o(y(l)).\nAnswer: 4*l**4 - 840*l**3 + 44100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 11:14 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - 4*n - 2. Let z(l) = -11*l**2 + 11*l + 7. Let g(j) = 8*b(j) + 3*z(j). Give g(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*k**3 + 8 - 11 + 2 + (-2 + 3 + 0)*(5*k**3 - 4*k**3 + k**3).\nAnswer: 11*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucxzxzsuczzc. What is prob of picking 1 c and 1 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 8*a**2 + 7*a. Let l be (42\/12)\/((-2)\/(-4)). Let f be i(l). Solve 3*x + x = f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*t - t, -4*f - 29 = 5*t. Sort f, 4, -1\/6 in ascending order.\nAnswer: f, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 3. Let d be f(-3). Let n be 1 + -11*d\/39. Put -6\/11, n, 5 in ascending order.\nAnswer: -6\/11, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 1}. What is prob of picking 1 y and 1 h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n**2. Let a(u) = -5*u - 5. What is h(a(t))?\nAnswer: -200*t**2 - 400*t - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429016 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42049.\nAnswer: 7, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212124 (base 5) in base 2?\nAnswer: -1001011000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**4 + 5702255*d**3 + 45617675*d**2 - 51319935*d = 0?\nAnswer: -1140443, -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zldaqdp. Give prob of picking 2 q and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2*m = -15, 4*m = -q + 39 - 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 11*b**2 + 12. Let o be v(-11). Let m be ((-4)\/o)\/(3\/9). Let u be (m + -1)*(-1 - 1). Solve u*t + 4*l - 1 = 3*t, 3*l = 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 83) + 13 + -31 + 13?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*j - j. Let u(x) = -8 + 14 - j - 5*x - 10. Let n(g) = -g - 3. What is 18*n(o) - 4*u(o)?\nAnswer: 2*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 580 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -12*r**2 - 4*r - 4. Let a be g(-3). Let q be (5\/(a\/24))\/((-12)\/30). Solve 0 = z + q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 66 = -4*p. Suppose 4*k = 4*f + p, 27 - 26 = -3*f + 5*k. Sort 17, -3, -5, f in ascending order.\nAnswer: -5, -3, f, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/4*(-3690)\/(-205)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1154278 - 1154276. Let w = 2.2 + -2. What is the third biggest value in -3, -1\/3, h, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.05034 weeks to days.\nAnswer: 350.35238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2686286 is divided by 1006.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*k + 328 + 62 = 0. Factor 2\/7*a**k + 0 - 8\/7*a.\nAnswer: 2*a*(a - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 2*j**2 + 3*j - 25. Is 16 a factor of d(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5236?\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - g + 3. Let q be 0\/2*5\/(-5). Let l be j(q). Suppose -l*h = -6*h - y + 31, 2*h + 2*y = 18. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112 plus 7?\nAnswer: 5119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 24 = -2*d. Suppose 43 - 115 = -d*c. What is the remainder when 45 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r. Let n(t) be the third derivative of -5*t**4\/12 - 39*t**2. Determine a(n(o)).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 9*f**2 - 19*f + 8. Let s be j(6). Factor -19 + 129 + 5*z**s - 36484*z + 36419*z.\nAnswer: 5*(z - 11)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3003.\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3, -c - 5*i = -3*c - 33. What is the smallest common multiple of 20 and 80\/15*c\/(-4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x - 12. Let c(d) = 3*d - 11. Let m(u) = -3*c(u) + 2*k(u). Let y be m(4). Find the second derivative of -11*q - 1 - 2*q**y + 1 - 4*q wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -284b + -e6?\nAnswer: -2931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-7)*(-9)\/((-72)\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 2*o - 10, 6 = -2*z - 3*o + 4*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 2*c**3 + c**5 + (-2*c**2 + 0*c**2 + 0*c**2)*(26*c**2 - 26*c**2 + c**3).\nAnswer: -c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 2*n**3 - 199*n**2 + 2*n**4 + 103*n**2 + 98*n**2 to s*n**4 + g*n**3 + c*n + v*n**2 + z and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1287\/(-104)*(-30)\/(-9)*(-4)\/5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6629, -6633, -6645, -6671, -6717?\nAnswer: -6789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/5)*b*b*(b\/(b\/(b\/b**(7\/2))))\/b)**(-27) assuming b is positive.\nAnswer: b**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**5\/40 + i**4\/24 + 2*i**3\/3 - 4. Let c(o) be the third derivative of u(o). What is the first derivative of c(j) wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 1)*-4.\nAnswer: -44*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 209587872?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2 - 2)*(2 - 2 + 2)*(-3*s + 0 + 0)*(-3*s + 2*s - s).\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -529, -480, -405, -310, -201?\n\"Answer: -h**3 + 19*h**2 - h - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 3722.62?\nAnswer: -3722.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 3. Let n(f) = 1. Let p(h) = h**3 - 11*h**2 + 14*h - 8. Let c(t) = -6*n(t) - p(t). Let j be c(10). Let m = j + 31. What is i(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 96*o - 640.\nAnswer: -2*(o + 8)*(o + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129812910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 1354.\nAnswer: 9478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/9)*i)\/(i\/((i*(i\/(i\/(i**(1\/4)*i))*i)\/i)\/i)))\/(i*i**0*i)**1 assuming i is positive.\nAnswer: i**(-19\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/270*9*10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.67995 nanometers in micrometers?\nAnswer: 0.09167995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345, 100, 841, 1878, 3211?\nAnswer: 4840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 10:48 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 11:23 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 8*l**2 - 2*l - 8. Let m be d(-8). Suppose -2*f + 64 = -m. What is the remainder when f is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/31)*a**5 assuming a is positive.\nAnswer: a**(153\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 917 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: What are the prime factors of 39796503?\nAnswer: 3, 59, 151, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26, 34, 40, 44, 46, 46?\n\"Answer: -m**2 + 11*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*l + 3*l. Solve -2 = -5*a - 3*m, 3*a + l*m + m + 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**2\/w)\/w)\/(w\/(w**(-1\/7)\/w))*(w*w*((w\/w**(-2))\/w*w)\/w)**3 assuming w is positive.\nAnswer: w**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 130\/61 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.347515148045 plus -0.4?\nAnswer: -0.052484851955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -2) + (-7 - -76) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 277 - -9. Suppose 26*x - 2184 = -w. Calculate the remainder when x is divided by 0 - 1\/((-1)\/25).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 30087*x**2. Let q(c) = c. Determine y(q(f)).\nAnswer: 30087*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46.1, -3, -0.1338 in descending order.\nAnswer: 46.1, -0.1338, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 248, 1018, 2308, 4124, 6472, 9358?\n\"Answer: j**3 + 254*j**2 + j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 19197*q. Let o(c) = 2*c**2 + 3. What is m(o(v))?\nAnswer: 38394*v**2 + 57591","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1536, -12685, -42912, -101745, -198712, -343341, -545160?\nAnswer: -813697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -579, -584, -589, -594?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4625719290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**3\/6 - r**2\/2 + 708*r. Let y(u) = 9 - 11*u**3 - 6*u - 1 + 9*u**3. What is -14*v(h) - 2*y(h)?\nAnswer: 4*h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47096?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/636396 and -16\/7911?\nAnswer: 5727564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -27*q - 9. Let w be j(-6). Suppose 2*f = -f + w. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:59 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45024 = 242*t - 210*t. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8652*x**3 - 797*x - 2.\nAnswer: 51912*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32783366 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375488 and 9745087?\nAnswer: 5867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 176, -4, -6\/5, 0, 2, 4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 2, 0.4, -5 in ascending order.\nAnswer: -5, 0.12, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-216)*-8*114\/(-5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 + x**2 + 2*x**2 + 4 - x**2 - 4 + (x - 5*x + x)*(3*x - 2*x - 3*x) as u*x**2 + y*x + b and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 4400 = 9*b. What are the prime factors of b?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/144*(-8)\/(-12). Sort 3.2, n, 4\/5 in decreasing order.\nAnswer: 3.2, 4\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - 2) + (-5 - -11) - 0.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.507 + 0.3.\nAnswer: 1.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 3*t + 5. What is the remainder when u(0) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v - 5*g - 17 = 26*v, 0 = -4*v - 2*g + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/30 - 7*v**5\/15 + 8*v**4\/3 - 8*v**3 - 5*v**2 - 13. Factor i(k).\nAnswer: 4*(k - 3)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.51 + 1.49. Which is smaller: f or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -32. Suppose -356 - 53 = 3*j + 2*a, s*j - a = -421. Let r = j + 236. List the prime factors of r.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*v**2 - v + 174*v**2 - 1510 + 1508 + 2*v**2 - v**2 + 0*v**2 - v**2 + 2*v - 2*v + (1 - 1 - 2*v)*(4 - 4 + 2*v) + 0*v**2 + 4*v**2 - 3*v**2.\nAnswer: 132*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -309 (base 13) to base 3.\nAnswer: -201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -18. Let y(q) = -25*q**3 + 17*q**2 - 17*q + 17. Let k(r) = 3*r**3 - 2*r**2 + 2*r - 2. Give g*k(o) - 6*y(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2112084529 to the nearest integer?\nAnswer: 45957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c - 891 = 70*c + 2209. Is c at most as big as -1296\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158399 != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + 279\/(-70). Let u = -23\/7 - k. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k + 3. Let y be (-1 - -4)\/(-1 - -2). Give w(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Is 25172089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(-7)\/o)))**5 assuming o is positive.\nAnswer: o**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3484 - 1108. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023683 rounded to seven decimal places?\nAnswer: 0.0000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -0.1532?\nAnswer: 6.1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 388786 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iigarrrrgrrgrggrc. What is prob of sequence grg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -1\/160*w**5 - 5\/16*w**2 + 5\/96*w**4 + 96*w + 1\/48*w**3 + 0. What is n in o(n) = 0?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198*z**3 + 2*z - 3*z - 6*z - z**2 + 195*z**3 - 1 + 4*z to the form r*z**3 + p*z + c + x*z**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56011127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37956 and 108?\nAnswer: 341604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -26, -63, -134, -251, -426?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 101 + 29. Let d(f) = -f**3 - 3*f**2 + 6*f - 4. Calculate the remainder when d(-5) is divided by (b\/8)\/((-6)\/24).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(p + p - p) + p - p - 3*p + 2*p - 3*p + 2*p + (p - 4 + 4)*(-1 - 1 + 1) + 15*p - 27*p + 15*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x**(1\/5)*(x*x**(2\/5))\/x**(-2\/3))\/((x**(1\/3))**(-38)\/(x**(-1\/9)*x**(-2\/13))) assuming x is positive.\nAnswer: x**(10336\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -103*h**2 + 2*h + 6. Let x(g) = 2*g**2 + g + 2. Let j(p) = r(p) - 2*x(p). Let v(b) = 3*b. Give v(j(z)).\nAnswer: -321*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -103? (a) -4\/3 (b) -3 (c) 4 (d) 1 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -4*t - 2*h - 5, 5*h - 5 = 6*t. Let o(q) = -8*q + 3. Let b be o(t). Solve b*x = 2*m + 4*x + 7, -m = x + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170*w + 51*w**3 - 96*w**3 + 43*w**3 to b*w**2 + h*w**3 + m + f*w and give f.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n**2 - 5*n - 6. Let i(j) = -5*j**2 + 4*j + 5. Let p(t) = t**2 - 4*t - 25. Let r be p(13). Let h = r + -87. Give h*i(k) + 4*b(k).\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582 = 8*u - 4570. What is the greatest common factor of u and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.088 + 0.088. Let w = 24.1 + i. Which is the second biggest value? (a) -1\/4 (b) 1 (c) -2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(6\/(-132)*-3)\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1334314232 (base 5) to base 4\nAnswer: 31011333322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474924 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**7\/70 + 9*y**5\/20 + y**4\/2 - 6*y**3 - 88*y**2 - 44*y - 2. Let x(q) be the first derivative of n(q). Factor x(d).\nAnswer: -3*(d - 3)*(d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0404 - 4.0404. Sort 97, l, 1\/3 in decreasing order.\nAnswer: 97, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 0*k + 14 - 3\/2*k**2 + 2\/3*k**3. Find the second derivative of z(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (15 - (28 + -17)) - 15?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -5, 2, -0.11, 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2776*c - 47216. Determine u(-17).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 72, 75, 88, 117, 168, 247, 360, 513?\n\"Answer: q**3 - q**2 - q + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h. Calculate c(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-8)*f))\/(f\/(f\/f**10)*f)*(f\/(f*(f*f**2*f)\/f*f))\/(f**(-2\/15)*f))**4)**41 assuming f is positive.\nAnswer: f**(-21812\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.174 + 163.826. Let x = k + -132.9. Let c = -31.1000139 + x. Round c to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 2. Let j(t) = -1. Let r(i) = 2*j(i) - n(i). Let k(l) be the second derivative of -l**3\/6 - l. What is r(k(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**4\/12 - a**3 + 20*a**2 + 267*a. Let o be m(4). Determine s so that -4\/3*s**2 + 4\/3*s**3 + 0 - 1\/3*s**4 + o*s = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 - (-5 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 10:39 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.074 + 1.384. Let k = h + -0.31. Let o = k + 6.0000039. Round o to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from bbyubbyuyubuyb?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29433 - 5?\nAnswer: 29429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884109700?\nAnswer: 2, 5, 8841097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 108 + 0*a + 2*a - 10*a - 112. Is f(-5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h. Let r(t) = t**2. Let o(q) = 2*q**2 - 17. Let w(c) = -c**2 + 6. Let l(p) = 6*o(p) + 17*w(p). Let u(f) = l(f) - 6*r(f). Calculate u(j(z)).\nAnswer: -99*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ueehwgg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**3\/3 + 6*a**2 - 32*a - 6. Let l be d(9). What is the closest to 2\/7 in 2, 4, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 5, x: 1, k: 2}. What is prob of sequence kk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/2)\/u)\/(u*(u**7*u)\/u)*(u*u*u\/(u\/(u\/(u*u\/(u*u*u**(-7))*u)*u)))\/(u*(u*u*u\/(u*u**(-3\/10)))\/u*u))**(-13\/7) assuming u is positive.\nAnswer: u**(1157\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 72699701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**4 + 512*t**3 - 16884*t**2 + 31752*t = 0.\nAnswer: 0, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/841, -7\/12, -0.036 in ascending order.\nAnswer: -7\/12, -0.036, 1\/841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, e: 1, f: 5}. What is prob of picking 3 f?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-2)\/(-60)*-6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 3*i**2 - 28. Let w = 64 - -12. Let f(c) = -c**2 + w - 76. Calculate l(f(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4044*z + 5921*z + 1036*z + 193*z + 100746 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - -1) + (-3 - 0). Let a = -2062 - -2062. Solve 3*l + x = -k, 4*l = -5*k - a + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2792247459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4012100 (base 5) to base 6\nAnswer: 1205304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -63d3a (base 15) to base 11\nAnswer: -1a7070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1350186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (141\/(-652125)*-100)\/((-8)\/(-30))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5679757301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**6*k*k\/(k**(-8)*k))\/(k**0*k\/(k\/(k\/((k*k**(1\/3)*k)\/k)))))**(10\/3))**(-8\/9) assuming k is positive.\nAnswer: k**(-3680\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 3*l + 30 = 0. Suppose 4*v = -5*g - 37, 33 - 8 = -5*v - 2*g. Is v bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -441.5886 rounded to the nearest integer?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 217*v**2 - 355*v + 431. Is j(-204) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153480 - 2*j**6 + 153408 + 9*j**2 - 4199*j**4 + 6*j**2 + 14*j**2 + j**6 wrt j?\nAnswer: -120*j**3 - 100776*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let w(f) = -3*f - 3. What is 4*l(t) + 2*w(t)?\nAnswer: -2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8487896?\nAnswer: 2, 17, 139, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80907956002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -33. Let m = 13 + -8. What is the nearest to v in m, 0.16, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1181 and -0.613.\nAnswer: 1180.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 3:25 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8640\/2496 + (-6)\/13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 6, -36, -116, -246, -438, -704, -1056?\n\"Answer: -2*v**3 - v**2 + v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 653.7941um in kilometers?\nAnswer: 0.0000006537941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 616422 + 14*a**2 + 0*a - 616347.\nAnswer: 14*a**2 + 2*a + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, u: 1, s: 3, j: 2, a: 1, h: 1}. What is prob of sequence uas?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28*((-161)\/(-28) + 5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3 and 38*4\/(61 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1596, 2500, 3404, 4308?\n\"Answer: 904*l + 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - 3*j - 3*j + 2*j + 3 - 4*j**2. Suppose 3*l + 2 = -10. Is m(l) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 = -2789*g + 4093*g + 4994 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3 + 10*r**2 + 23*r + 12 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 5*k**2 - k + 5. Let g be h(5). Let x = g - -3. Suppose 36 = x*m + 5*a, 4*m + a - 59 + 11 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*y - 12 = 4*c, 0 = -c - 2*y + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176741 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355614385.\nAnswer: 5, 59, 4595303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 6. Let c(u) = 4*u - 19. Let o(s) = 2*c(s) - 7*y(s). Let a(q) = -q**2 + q + 3. Let j be a(0). Give o(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*t**2 + 88*t**2 + 129*t + 86*t**2 + 89*t**2 - 347*t**2.\nAnswer: -2*t**2 + 129*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 0 + 2\/7*s**7 - 1\/2*s**3 + 0*s**6 + 0*s**5 + 0*s**4 + 0*s**2 - 14*s. What is the second derivative of l(q) wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -89 + s**3 + 256 - 92 - 76 - 1761*s as t*s**3 + b*s**2 + i + r*s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 2, p: 2, h: 1, q: 1, w: 1}. Give prob of sequence qw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-33)*d**(37\/2) assuming d is positive.\nAnswer: d**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26230, 0, -2, -3 in increasing order.\nAnswer: -3, -2, 0, 26230","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*w**3 + 12*w**3 - 15*w**3 + 131*w**3 + 14*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.136 + -0.237. Round d to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -124 + 11?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2667 = 10*h - 3*h. What are the prime factors of h?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256273 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m - 8 - 38 + 46.\nAnswer: 49*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 7*i - 2. Let a be n(8). Let w be a + (-5 - -2) - 1. Let y(m) = 10*m**2 + 4. What is the units digit of y(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 62 = 14. Suppose 3*w + 5*d - 214 = -0*w, -h*d = 3*w - 212. Suppose 0 = -3*t + 7*t - w. Calculate the highest common factor of 187 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 + i - 4. Calculate j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.192 + 222.192. Let i = u - 221.9999386. What is i rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2693765?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40663.\nAnswer: 7, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssme when four letters picked without replacement from sscsfejfcmsj.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11031110111 (base 4) to base 3.\nAnswer: 2120100210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6 - 1 = 4*t, 0 = 2*t + 2*h - 10. Let l(j) = -8 - j**t - 7 + 15. Let q(f) = 1. Let u(x) = 12*x - 2. Let z(r) = -2*q(r) - u(r). Determine l(z(w)).\nAnswer: -144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1233 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-3 + sqrt(8))\/((sqrt(4) + sqrt(64) + sqrt(4))*1).\nAnswer: -17*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108\/85 - -9\/595. Sort s, -5, -0.27 in descending order.\nAnswer: s, -0.27, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19864?\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 201*v**3\/2 - v**2\/3 - 201*v\/2 + 1\/3.\nAnswer: (v - 1)*(v + 1)*(603*v - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1020)\/(-125) + -8)\/((-4)\/(-10)). Which is the second biggest value? (a) 2.2 (b) j (c) -3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*y - 54*y = 70. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11715300 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1250 - 12573\/10. Let v(d) = d**3 - 3*d - 1. Let y be v(-2). Calculate the common denominator of (-3)\/y + (-38)\/(-9) and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94.1 - 96. Let g = h - -1.90039. What is g rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaqq when four letters picked without replacement from {q: 8, a: 5}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.87484 rounded to one dp?\nAnswer: -247.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -65 + 65 + v**2. Let t be (-2)\/(-6) - 6\/(-9). Let l(o) = 4*o**2 + 3. Let y(b) = t*l(b) - 5*w(b). Differentiate y(a) with respect to a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (1 - 0))\/((-161)\/7 + 24). Factor -3*g + t - 9\/2*g**2 - 3\/2*g**3.\nAnswer: -3*g*(g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2952693 (base 11) to base 12\nAnswer: 1845738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -1 - 13*d + 1\/48*d**4 - 1\/6*d**3 + 1\/2*d**2. Let r(b) be the first derivative of t(b). Factor r(l).\nAnswer: (l - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2720, 14, 4, 9 in decreasing order.\nAnswer: 2720, 14, 9, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77783933.\nAnswer: 77783933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 669300*v**3 - 7*v**2 - 9563451*v wrt v.\nAnswer: 4015800*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-3))\/((-3)\/15). Suppose 4*t - j = -2*f, 3*t + 4*f - f = 12. What are the prime factors of (-30)\/(-1 - -1 - t)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*a**3 - 1 + 1 - 504*a**3 + 203*a**3.\nAnswer: -451*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22557 + 22557. What is the nearest to a in -2\/3, 46, 9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124489?\nAnswer: 124489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/10 (b) 1 (c) -0.3 (d) -274\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37380944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 111009525?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 925 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -31. Suppose -3*m - 2*c + 8 = -4*c, 2 = -m - 4*c. Calculate the least common multiple of m and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/33*6\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 2:54 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 9*k**2\/2 + k + 3. Let p be w(1). Calculate the highest common factor of p and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f*n**2*v**3 - 24*f*n**2 + 3*f*v + 38*v**3 wrt v.\nAnswer: 18*f*n**2*v + 228*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 4. Let y be j(-9). Let c = y - 14. Suppose c = -2*n + 2 - 0. Solve -g + 4 = n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -6. Let v be (3 - 2) + -1 - b. Solve -4*a + 3*j + 15 = 0, -6*a + a - 2*j + 13 = v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Let n be j(-5). Suppose -2*h = -0*m + n*m - 202, 4*m - 5*h = 188. Suppose 53 + m = 5*o. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. Suppose -n + 4*k - 10 = -3*n, w*n - 3*k - 31 = 0. Let y(d) = 4*d**2 - d - 2. Let p be y(n). Calculate the highest common factor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**7\/210 - 7*s**6\/30 + s**4\/8 - 2*s**3\/3 + 67*s**2. Find the second derivative of f(h) wrt h.\nAnswer: -12*h**2 - 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**13\/y*y*y**(10\/9)*(y*(y\/(y**7*y*y)*y)\/y)**(-28))**43 assuming y is positive.\nAnswer: y**(81700\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11353 - -11362. Sort b, -1, 2, -11.\nAnswer: -11, -1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, c: 8}. What is prob of sequence cci?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 14264880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*((-3*x**4 + 0*x**4 + 2*x**4)*(2*x + x - 5*x) - 154*x**5 - 225*x**5 + 562*x**5).\nAnswer: -185*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by (-258)\/4*-2 + 4?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -121*y + 28 + 27 + 116*y. Let d be i(0). Let k = d + -47. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107102, -214191, -321310, -428471, -535686?\nAnswer: -642967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 28*r + 186. Let s be x(-14). Let c be (-880)\/(-700) + (-6)\/s. Which is bigger: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 5.03. Let p = -2.4 + 0.4. Let v = 0.6 + -0.3. Which is the third biggest value? (a) d (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 346\nAnswer: 5\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2538951696 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.5. Let n = i - -1. Which is the second smallest value? (a) 0 (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 - 13169 = -6*w. Suppose 10906 = 12*i + w. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6862 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 7. Suppose 5*q + 23 = 3*g - 0*g, 0 = 2*g - 3*q - 15. What is the first derivative of -1 - 6*b**j + g*b**2 - b**3 wrt b?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c9424 - -2a?\nAnswer: -c93c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838521573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760053.\nAnswer: 3, 7, 17, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**8*w))**(2\/103) assuming w is positive.\nAnswer: w**(-16\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 13. Let n = r + 14. Let d be (0\/(1 + 2))\/2. Which is the third smallest value? (a) n (b) d (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -496, -991, -1488, -1987, -2488, -2991, -3496?\nAnswer: -4003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 - 3 = 0. Let q(d) be the second derivative of 0*d**u + 1\/12*d**4 + 0*d**2 + 1\/5*d**5 + 1\/10*d**6 + 0 - d. Solve q(o) = 0 for o.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/17, -2, -2\/17, -7\/4, 5\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250) - (sqrt(250) + (sqrt(250) - -1*sqrt(250)*4) + sqrt(250)))\/(sqrt(80)\/sqrt(2)))\/(sqrt(5) + 4*sqrt(20) + 2*sqrt(180)).\nAnswer: -sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2. Let t(i) = -18247549*i**2. Give t(q(j)).\nAnswer: -164227941*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 166338992 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*z - 8*z**5 - z**4 - 38*z**2 + 38*z**2 wrt z.\nAnswer: -160*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -200136975*s*v**3 - 3*v**3 + 6278*v**2 + 86*v wrt s?\nAnswer: -200136975*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -654841*a**4 + 2*a**2 + 2*a + 10307 wrt a?\nAnswer: -15716184*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373985 is divided by 72.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*u + 3*y, 3*u - y + 2 = 8. Suppose -b + 0*g - u*g = -12, -2*b + 4*g + 44 = 0. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130304?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -2*r**5\/5 + 62*r**4 + 1109*r**3\/3 - 2191. Find the third derivative of u(z) wrt z.\nAnswer: -48*z + 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from zazzzzzzazazzaaz.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1106\/3 (b) 3\/7 (c) -0.2 (d) 1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67 and 603?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1346 + 7954 = -1058*a - 3972 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21003 (base 9) in base 12?\nAnswer: 8026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {f: 11, h: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l - 67438*l**2 - 4 - 4 + 67439*l**2. What is p(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k. Let i(b) = -b. Suppose 5*t - 4*r = 3, -t - r = -0*t + 3. Give t*d(s) - 2*i(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 22*f**2 - 82*f + 57. Let a be x(-17). Suppose 0 = -2*y - 5*v + 30, 0 = 5*y - 4*v + v - 13. Solve -b - y*k + 3 = 0, -3*k + a = -2*b - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-49)\/21)\/((-33)\/(-9)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111000111010101 (base 2) to base 4.\nAnswer: -1013013111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q**3 - 2*q - 2*q - 5*q**2 + 3 - q**3. Let j be (1\/(-2))\/((-2)\/(-24)). Does 21 divide t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 5*c + 38. Let s be 46\/4 + 12*(-6)\/48. Calculate the lowest common multiple of o(s) and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.61632 take away 0.5?\nAnswer: 48.11632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 5 (c) 3021 (d) -2 (e) -0.47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*x - 69*x + 1275*x - 129078 = 0 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1322, 1409, 1636, 2069, 2774, 3817, 5264?\nAnswer: 7181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2972\/4413 + -10\/1471. Let q = 1 - 1.1. Let d = 0.5 - 0.3. Put y, q, 0, d in ascending order.\nAnswer: q, 0, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*m - 1163, -m + x + 1159 = 2*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359554 a multiple of 869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 4*j - 8. Suppose -o = j*c - 20, -2*c + c - o + 12 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28585, 114351, 257297, 457423, 714729, 1029215, 1400881?\nAnswer: 1829727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3432 and 391578.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let h(c) = 9*c**2 + 23*c - 148. Let k(q) = h(q) + 5*n(q). What is the tens digit of k(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 32. Suppose -5*j = -s*i + 30, -3*i + 4*j + 18 + 2 = 0. Solve -20 = -p - 3*n, -p - i*n + 7*n = 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/3434 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.2. Let l = 41\/2 - 365\/18. What is the nearest to -2\/3 in y, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - b + 8, -80*p + 76*p - 6*b - 54 = 0. Sort p, -2, -79.\nAnswer: -79, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -409 - -598. Let h(r) = -r**3 - 2*r**2 + 2*r + 11. Let b be h(-8). Let w(k) = -u*k + b*k - 192*k. Let q(t) = -25*t**2. Calculate w(q(n)).\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 26.0488. What is u rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(66)*3 - sqrt(66))\/(-2*sqrt(216)) + -1.\nAnswer: -1 + 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 + 5*i. Let w = -1 - -6. Let h be (12\/(-2))\/((-3)\/2). Let g(c) = 6*c**2 - 6*c. What is h*g(l) + w*k(l)?\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + -2 + 4 + sqrt(320) - sqrt(320)) + -4)**2.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -k + 15262250, 5*q - 35877319 - 25171681 = -4*k. Suppose 4*m = o - 6699988, -2*m - 1862244 + k = 2*o. What is o rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17043971 + 21?\nAnswer: -17043950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 171.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.11 + 33.13. Which is the third biggest value? (a) 1.8 (b) 3 (c) z (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 18*l + 60. Suppose 7*f - 8*f - 4 = 0. Let u be 18\/l*((-80)\/6)\/f. Solve -u = 5*o + 5*p, 2*p + 6 = -2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 136308166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxcxxccx. Give prob of sequence xxc.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3566555 divided by 19?\nAnswer: -3566555\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -1) + 0\/(-6). Suppose -a = s*a - 10480. Is (2\/(-2))\/(2*(-2)\/a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*h = 2*j, -4*j = -5*h. Suppose 0 = 3*s - j - 51. What is the remainder when s is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(720)*-1 - sqrt(720)) + sqrt(720) + 3)**2*-6.\nAnswer: -4416 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1497 - 2870 - 11*a**2 + 1343 - 254*a. What is r(-23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*b + 104 - 32*b**3 + 29*b**3 + 4*b**3 + 17*b**2 with respect to b.\nAnswer: 3*b**2 + 34*b + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z + z**3 - 4*z - 7*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:50 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u**2. Let k(d) = 209*d**2. Give 4*k(i) + 77*w(i).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*(0 + 0). Suppose d = 2*z - 3*s - 50, s - 3*s = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18276 and 2829864.\nAnswer: 4309882872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -v + 4*i + 1 - 5, 47*v - 16*i = 38*v - 112 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m - 7. Let q(t) = -11*t + 13. What is 3*q(k) + 5*s(k)?\nAnswer: -3*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -4.5.\nAnswer: -67.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/14 + 472\/28 + -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -3 + 8 + -1 + (2 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4278*t = -4286*t + 48 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 248\/60)\/(8\/(-10))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*x - 44*x - 54 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 9*f**2 - 11*f - 18. Suppose b + 2*m + m = 20, 5*b = -5*m + 60. Calculate the least common multiple of b and z(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4.6 (b) 0 (c) 0.029 (d) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b44 (base 15) in base 10?\nAnswer: -2539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**3 + 40*m**2 + 127*m - 1212. Determine l(9).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 508, 4108, 13906, 33010, 64528?\nAnswer: 111568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -166a0 + -3?\nAnswer: -166a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/798*-19)\/(24\/(-276))?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**6\/120 + y**5\/15 - y**4\/6 + 2*y**3\/3 + y**2. Let q be t(-5). Let h be q*(-4)\/(12\/9). Solve h*i - 16 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 12 + 104. Let i = 19 - l. Let y = i + 56. What is the remainder when y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, 1\/7, -1, -4 in increasing order.\nAnswer: -4, -2, -1, 1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (sqrt(77)*-2 + sqrt(77))\/sqrt(7)).\nAnswer: -2*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/97 and -46\/21.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10590 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2089*u = -2070*u + 247 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2\/17, -0.2, -4\/27 in descending order.\nAnswer: 3, 2\/17, -4\/27, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8011 is divided by 64.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 8. What is the third smallest value in 3, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 3c59?\nAnswer: -3c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*m**2\/7 + 212860*m - 5463568\/7.\nAnswer: 4*(m + 124172)*(3*m - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 744*s + 13573. Determine p(-18).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, -27, -87, -201, -387?\n\"Answer: -3*r**3 - 3*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*i - 66*i**2 + 6*i**4 - 1 + 65*i**2 + 10*i in the form a*i**3 + c*i + r*i**4 + n*i**2 + o and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a. Let s(v) = 11650*v**2. Give w(s(t)).\nAnswer: -58250*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -830 + 857. Solve 24 = -3*p + a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -11*l. Let v(i) be the first derivative of i**2 + 8. What is v(t(c))?\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 86*l - 3. Let h(x) = 784*x - 36. Let k(w) = -87*w + 4. Let y(r) = 3*h(r) + 28*k(r). Let m(c) = -4*v(c) - 3*y(c). Solve m(f) = 0 for f.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 7*l**2 + 7*l - 4. Let t(h) = 28*h - 746. What is the lowest common multiple of t(27) and a(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69728, -69737, -69768, -69821?\nAnswer: -69896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 r when four letters picked without replacement from {y: 1, n: 4, r: 4, w: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 + v - 2. Let c be r(-7). Let n = -121 - c. Let x be 14\/3*30\/n. Solve 5*o = o + x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 < -42035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n**(2\/3)*n*n)\/n*n*n**(3\/10)*n*(n**(-1))**(13\/7) assuming n is positive.\nAnswer: n**(653\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 12*h**2 - 15*h + 68. Let r(o) = -o**3 - 4*o**2 + 2*o + 7. What is the smallest common multiple of n(11) and r(-5)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.148, -2\/21, 10?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -117*j + 122*j + 45. Put -5, -2, -1, j in increasing order.\nAnswer: j, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6214143 in -5\/4, 4, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 115286413*a**2 + 44631784 wrt a.\nAnswer: 230572826*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 31)\/((-2)\/(-4)). Let q be (2\/(-4))\/((-4)\/b). Suppose 0 = -v + q + 3. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1507 - -1900284.\nAnswer: 1900283.8493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53258213 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34064, 69754, 105444, 141134, 176824, 212514?\n\"Answer: 35690*t - 1626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -5.2. Let z = 16 + a. What is z rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 3. Let u be i(0). Let y be 20\/(-10)*((-2)\/(-12) - (-598)\/(-276)). Solve u*f = y*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -5*c + 224. What is c rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270705.79394 + -0.3\nAnswer: 270705.49394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -u + 17, 20 = 5*u + 5*v - 3*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/11830 and 143\/1890?\nAnswer: 319410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**4\/4 - 7*t**3\/3 + 11*t**2\/2 - 3*t + 46. Calculate h(-8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38642917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/21, -61, -2\/19, -1\/4, -1.5, 1?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9825845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -1. Let z = -1192.5 + 1193. Which is the closest to -3? (a) z (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -1 (c) -2\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*u - 21, 6*f + 187 = -73*u - 62 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276 - 230. What is the greatest common divisor of 230 and s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/332 and 47\/2158?\nAnswer: 4316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5719 by 5.\nAnswer: 5719\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 113, -97, 4, 73, -1 in decreasing order.\nAnswer: 113, 73, 4, 1, -1, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1733 * 0.2.\nAnswer: -0.03466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 13 = -4*r, -s = -r - 5*s - 8. Suppose x + x - 1 = -y, 34 = 2*y - r*x. Calculate the greatest common divisor of 72 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 8675849.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 20*p + 92. Let z be d(14). Suppose 0 = 21*y + z - 92. What is the lowest common multiple of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2194863166 and 646?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*v - 23 = 0, -12 + 1 = 3*p - 4*v. Suppose 4*n + p*f - 130 = -2*f, -5*n + 140 = -5*f. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -93, 3\/5, -5, -9, 0.1, -1 in increasing order.\nAnswer: -93, -9, -5, -1, 0.1, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 416078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1625042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 614 and 1739462?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**2 - 30*d - 267.\nAnswer: 8*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 7. Give k(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 229 - 225. Find the common denominator of (0 - (-48)\/(-66)) + j and -26\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -14*y + 3047. What are the prime factors of y?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*z + 176*z - 135 = 0. Is 5 a factor of (z\/6 + -2)\/(2\/500)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23101 + -12?\nAnswer: 23067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 459576077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*b - 41*b + 100*b**2 + 55*b**2 - 2*b**2 + 4*b**2 + 0*b**2 + (-b**2 - 2*b**2 + 2*b**2)*(5 - 3 - 3) - 3*b**2 + 3*b**2 + b**2.\nAnswer: 159*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -456457 and 10.8389.\nAnswer: -456446.1611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/141987 and 41\/9063?\nAnswer: 425961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 41. Let v = -4 - y. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a millimeter in micrometers?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 78*f - 1. Let q(b) = -702*b + 12. Let z(r) = -234*r + 4. Let x(h) = 3*q(h) - 8*z(h). Let w(n) = -16*g(n) - 5*x(n). Does 22 divide w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -48. What is the nearest to -2\/3 in -3\/2, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 8\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10144403415 - 3?\nAnswer: 10144403412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 21555112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*b*s*t - 13*b*s + 5701*b*t + 2682*b - 5*s*t - 2*s + 2 wrt t?\nAnswer: 9*b*s + 5701*b - 5*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -12*g - 31. Calculate the least common multiple of 9 and (-45)\/(-18)*g\/(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*z + 3 + 1 = 0, 10 = 4*f + z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {a: 3, j: 6, p: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15869 = -h - 0*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 - 65. Suppose -5*d - p*d = -32. Suppose -2*y + 58 = -z + 2*z, d*y + 4*z = 124. Solve 5*b = -y + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**8\/480 + 4*y**7\/525 - 29*y**6\/400 - 73*y**5\/150 - 61*y**4\/60 - 4*y**3\/5 + 1458*y**2 + y + 1. Suppose n(f) = 0. What is f?\nAnswer: -3, -2, -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 - -76. What is the smallest common multiple of i and 38?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 11:48 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36455, -36176, -35871, -35528, -35135?\nAnswer: -34680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*h - 463*h**3 + 2*h + h - 6*h - 4*h as s*h + o*h**2 + u + b*h**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 324*a**2 + 2340*a + 6000.\nAnswer: 3*(a - 100)*(a - 10)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -198*s. Let j(y) be the second derivative of 2*y**3\/3 - 472*y. Calculate a(j(h)).\nAnswer: -792*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*j = -20, 30*j - 73*j - 185 = 3*x - 3*j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from ugg?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 806 + -806.1. Let a = -4 - -6. Let t = -2 + a. What is the nearest to o in t, -0.07, -1\/6?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a750 (base 15) in base 10?\nAnswer: -896025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + y - 2*y - 16 - y + 12*y to q + t*y and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**3 - 138104*d**2 - 552464*d - 552480 = 0.\nAnswer: -2, 34530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n**2 - 151681*n\/4 + 632 = 0 for n.\nAnswer: 1\/60, 2528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 60. Let k = r + -21. Solve 5*s = 2*n - 23, -4*n = -0*n + 5*s - k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 - 6. Suppose -t - 5*v = -84 - 8, 5*t - 4*v - 373 = 0. Let m(q) = 66*q**2 + 77. Determine t*d(u) + 6*m(u).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192792 by 116.\nAnswer: -1662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 1747581?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -38*p**3 - 10*p**2 - 54*p - 72. Is c(-6) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from xxxxgxxx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.3 + 7. Let i be ((-13)\/4 - -3)\/((-2)\/8). Which is the closest to i? (a) 3 (b) 1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 + 2088*s**2 - 83706*s - 22014. What is u(-734)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2637?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 10*l**2 - 10*l + 9. What is z(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**4\/12 + 7*t**3\/6 + 3*t**2 + 3*t + 3. Let f(v) be the first derivative of z(v). Does 6 divide f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**7\/840 - p**6\/360 + p**5\/360 - p**4\/12 - 2*p**2. Let y(q) be the second derivative of d(q). Factor y(g).\nAnswer: (3*g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8446103 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.9847995 weeks?\nAnswer: 9926.77896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 72 = -4*y - 24, -3 = y. Let i = 3 - m. What is the remainder when i is divided by 16 + (-6)\/2 + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5 = 2*j. Let h = j - -6. Let v = -11\/25 - -6\/25. Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/12 + (-3)\/(-12). Let m be (-1 - -10)*1\/a. Does 13 divide (-3)\/((18\/(-28))\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -59*p**3 - 3*p**2 - 6*p - 3. Let l be i(-1). Suppose -3*q = 3*c - 105, -q + 5*c = -0*q - l. What is the least common multiple of 8 and q?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 13*c - 21 = -191. Suppose 0 = 2*s - 0 - 10. What is the greatest common factor of c and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, i: 1, g: 2, w: 13}. Give prob of sequence gp.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456775?\nAnswer: 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 - 2*k**5 - k**3 + (0*k + 0*k - 2*k**4)*(4*k - k - k) - 2 - k**5 + 2 + 431*k**3 + 21*k**2 + k**5 - 431*k**3.\nAnswer: -6*k**5 + 21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5 + (-4 - -4) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 7. Let z(w) = -2*w + 0*w**3 - k - w**2 - 2*w**3 - 5*w**3. Let q(n) = -n - 1. Let i be q(0). Determine z(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 6*l - 4*v - 740 = 0, 0 = 4*l + 2*v - 770. Calculate the highest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 6009*m - 205453. Give g(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1215 and 1278?\nAnswer: 172530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2, 1, -3, 0 in descending order.\nAnswer: 2, 1, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-13)\/4 - -3). Suppose 952 = m*y + t, 2*y - 2*t + 273 = 749. Round y to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-48)*4\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3223380 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p - i + 28 = 0, -3*i + 12 = 0. Let x = -7 - p. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -326 or -327?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -37*j**3 + 3*j**2 - 2*j - 3. Let x be a(-1). Let g = x - 27. Calculate the smallest common multiple of g and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 873*f**2 - 61*f + 239. Is s(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*m + 4*h + 10, h + 3 = -4*m. Let d = -2.7 - -4. Let f = -0.3 + d. Put f, -2\/9, m in descending order.\nAnswer: f, m, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10999052 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/15)\/(68\/(-1420)). Let r = 1868\/187 - b. Which is bigger: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 43 - 31)*(5 - 2*x**3 - 5 + (-2 + 2 + 2*x)*(-4*x**2 + 5*x**2 + 4*x**2)).\nAnswer: -552*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 48960905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50927 divided by -50927.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(252) - (-1 + 1 + sqrt(252) + sqrt(252)))**2 - -3*(sqrt(252) + (sqrt(252) - -1*sqrt(252))**2 + sqrt(252))) + -4 + 2.\nAnswer: -16382 - 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Let k be 141*((0 - f) + 2). Suppose 4*r + 3*m - k = 4, -2*r + 142 = m. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 939 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 35.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*u**3 + 7 - 7 + (-u - 4*u + 3*u)*(4*u**2 - 3*u**2 + u**2).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(612) + sqrt(612) + sqrt(612))*5 - 6*(sqrt(612) + 0) - (4*sqrt(612)*1 + 0)) + 5)**2.\nAnswer: 300*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76491847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + -16?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**7\/21 - 203*s**5\/20 - 340*s**3 + 354*s. What is the second derivative of o(j) wrt j?\nAnswer: -40*j**3 - 1218*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9444736219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 + -85.4. Which is the nearest to 0? (a) w (b) -46 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a millennium in years?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5730 is divided by 80?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 18 = 3*t, -4*t - 4 = -n - 0*t. Let p be ((-55)\/(-10))\/(n\/(-888)). List the prime factors of 10\/(-25) + p\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 + 79 = -3*d + 10*l + 164, 2*l + 42 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 268 - 264. Find the third derivative of -2*f**2 + r*f**2 + 5 + 10*f**5 - 5*f**2 - 88*f**5 wrt f.\nAnswer: -4680*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = 0, -3*j = 4*l - 3*l - 56. Calculate the remainder when 468 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -317?\nAnswer: 31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(11\/6))**(-1\/8))**(5\/4))**47 assuming a is positive.\nAnswer: a**(-2585\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*b - 16. Calculate the greatest common factor of b and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 0*r + 0 + 12 + r - 1. Let g be x(-16). Let p(w) = w**3 + 5*w**2 - w + 3. Does 5 divide p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 8037548. Let v(r) = r**2. Calculate j(v(a)).\nAnswer: a**2 + 8037548","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 788, 762, 736, 710, 684?\n\"Answer: -26*k + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203328.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 7*q**2 + 6*q + 2. Let x be h(6). Let u(o) = -x + 13*o**2 + 4*o**2 + 2. Let y(i) = -936 - 4*i + 1934 - 998. Calculate y(u(b)).\nAnswer: -68*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 71 + 71.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 564.4020086 rounded to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by -4\nAnswer: 99\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-7))\/((-21)\/98). Suppose 0 = 4*k - 5*k - o. Calculate the least common multiple of k\/(-2) - 3\/3 and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 1024?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 180\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 1, v: 1, t: 4, k: 2}. What is prob of picking 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83\/3 + -137\/6. Let q = 278011323459\/1730 + -160700177. Let z = 57\/173 + q. What is the common denominator of l and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 + -105.8. Let w = -2.1 + 17.1. Let m = c - w. Round m to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -17, -75, -197, -407, -729, -1187, -1805?\nAnswer: -2607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -432*l*p**2*u + 232*l*p**2 - 25*l*u - 31*l - 16*u + 2 with respect to p.\nAnswer: -864*l*p*u + 464*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2602*i**2 - 80*i + 1 wrt i.\nAnswer: 5204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 422.\nAnswer: -5\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*y + 75 = 0, 0 = 2*h - 0*h + 3*y - 171. Let k(a) = 31*a - 2. Let q = -93 + 95. Let d be k(q). What is the highest common divisor of d and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 10*x + 3*x**2 - 3*x + 9*x.\nAnswer: 2*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -14. Let d = -7 - x. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5442 is divided by 683.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*x = -2*x + 21, 4*b = x + 16. Sort -3, b, -2 in decreasing order.\nAnswer: b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100313057?\nAnswer: 13, 89, 277, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 132191 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: Is 837 equal to -12252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from lkxkxxxlx.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 2114747445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 67*p**2 + 9*p - 10. What is the tens digit of f(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 6467*x + 4527422. Determine j(-1025).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 206 - -84?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 0, 2*o - 4*a = 3*o - 57. Let u = o + -36. Suppose 4*x = -3*q + 285, -32 = -u*x - 5*q + 318. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 22*z - 26. Is u(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) -5 (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 596.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from uhuuuhhhhhhuuuuuhhh?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2162*h + 760. Let w(u) = 1081*u - 380. Let a(k) = -4*i(k) - 7*w(k). Is a(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + ((-55)\/605 - (-142)\/(-11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.89999734 + 28.9. Round t to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*h + 25 = 2*s, 2*h = 5*s + 3. Let k be 2\/(3 - s) + 1. Solve 13 = -3*p - 2*r, -k*r - 3*r = -5*p + 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 59 = 13. Let k = -17 - h. What are the prime factors of (k\/(-6))\/((-3)\/(-8))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049406 is divided by 223?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 9*x**2 + 21*x + 12. Let z(u) = 1. Let r(a) = -p(a) + 5*z(a). Let c be r(-3). Solve c = -2*q + 2*i, -q - 3*q = 2*i - 20 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10200 = a. What is a rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/9 - ((-21824)\/495 - 1\/(-5)). What is the greatest common factor of 8404 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - n**2 - 2*n - 3. Let t be y(-2). Suppose t*f - 3*o - 197 = 0, 2*f = -f + 3*o + 123. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1168 and -0.95.\nAnswer: 1109.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**4\/7 + 3*p**3\/7 + 1152*p**2\/7 - 1728*p\/7 = 0.\nAnswer: -24, 0, 3\/2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4288939566?\nAnswer: 2, 3, 439, 1628299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 7*a**2 - 5*a - 11. What are the prime factors of g(5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -2*a + n, 0 = -a + 30*n - 31*n + 109. What is the greatest common divisor of a and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -180481945 divided by -14161\nAnswer: 12745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.23264 decades in years?\nAnswer: 452.3264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 22456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -32. Let b(w) = w**3 + 4*w**2 + 7*w + 4. Let z be b(-3). Let k = z + p. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -288, -248, -182, -90, 28, 172, 342?\n\"Answer: 13*d**2 + d - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.2. Let a be (-7)\/(-14)*3\/((-30)\/4). What is the smallest value in -3, i, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9892072783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vbbvbbbv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1649 and 440283?\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12177825, -24355652, -36533479, -48711306?\n\"Answer: -12177827*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55, 59, 65, 73, 83, 95?\n\"Answer: w**2 + w + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104552?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.57 + 0.07. What is the third biggest value in s, 3, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10 - (-6864)\/(-31460)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7*w + 3*p - 38, -6 = w + 4*p. What is the highest common divisor of w and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326311523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, -9\/4, -0.4309?\nAnswer: -0.4309","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13*d**2. Let t(b) = 13224*b**2. What is t(z(l))?\nAnswer: 2234856*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 37610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22\/9, -1\/2, 0?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 51*o**2 + 4*o + 31. Let s(x) = -60*x**2 - 5*x - 32. What is -3*s(n) - 4*u(n)?\nAnswer: -24*n**2 - n - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cccjcxygcggyjg?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 1 + 1 + (-d + d - d)*(-1 + 2 - 2) - 1 - 2*d + 1 + (d + 0*d + d)*(-1 + 5 - 1) + d + 2*d - 6*d as m + n*d and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*f + k - 4, k = f - 12. Suppose 3*p - f = -4*j - 29, -j - 3 = 0. Let m be (-5)\/(-9)*-3 - -2. Which is smaller: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 3*v + 15 - 12, 3*v = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -379, -374, -373, -382, -407, -454, -529, -638?\n\"Answer: -s**3 + 4*s**2 - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27758\/9 - (4\/9)\/2. Suppose -10*d = 2*d - c. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 6}. What is prob of sequence kk?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/670 and -53\/15?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = p + 23. Suppose -44 = -y + 2*a, -1 = -44*a + p*a. Calculate the greatest common divisor of 280 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from {d: 10, v: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18255*j**6 + 10755*j**2?\nAnswer: 2190600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1)\/d)\/d)**28*(d**(1\/4))**34)**(-13) assuming d is positive.\nAnswer: d**(1235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 136881*l**2 - 4*l - 1. Let b be y(8). Let s = -4060351 + b. Round s to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 - i**2 - 3*i**2 + 3*i**2 + 5*i + (4*i - 4*i - i)*(12*i**2 + 47*i - 47*i) to the form b*i**2 + a*i**3 + d + n*i and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 o when four letters picked without replacement from {o: 3, a: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1788*w - 9*w**4 - 45*w**4 + 33*w**3 - 7275*w - 8*w**3 wrt w.\nAnswer: -648*w**2 + 150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 69, 128, 129, 48, -139, -456?\n\"Answer: -4*z**3 - 5*z**2 + 102*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 - 24. Let t = l - 41. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t + 453 - 404 = -171 - 284 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzpzpppppp. Give prob of sequence zz.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 95030.95 millennia?\nAnswer: 95030950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-68)\/4)\/(814\/(-888) + (-2)\/24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-6))\/((-5)\/4))\/((-138)\/207)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9 = -n - 3, -n = -4*s - 18. Let x be 32\/20 - (-4)\/n. Which is the smallest value? (a) -0.4 (b) 2\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -107, -161, -215?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.13261872 and -1965.76?\nAnswer: 1965.89261872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 3 (c) -2 (d) -60\/37 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -1453e7a?\nAnswer: -1453e77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -44533452 to the nearest one hundred thousand.\nAnswer: -44500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.754 + 1.454. Which is the second smallest value? (a) -4\/75 (b) f (c) -0.2 (d) 1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1. Let x(w) = 9*w - 2. Let g(s) = 6*p(s) + x(s). Let k(v) be the first derivative of 5*v**2\/2 + 2*v + 1. Let d(m) = 6*g(m) - 11*k(m). Give d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19)\/2*(-48 + 16). Let z = k - 217. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, x: 7}. What is prob of picking 3 x?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20729 divided by -2811?\nAnswer: -20729\/2811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-2 - 88) - -88.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140723, 281448, 422173?\nAnswer: 562898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*m - 24 = 7*d + 86*m, 4*m + 8 = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*y - y + 31, -4*y = 5*p - 13. Solve 0 = m - 3*i - p, 33*i - 25 = -5*m + 34*i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2054048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55896*l**2*w**3 + 15*l**2*w - 1016*w**2 wrt w?\nAnswer: -335376*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(180\/189)\/10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-96)\/(-18) + -5)\/7)\/((-81)\/(-4374)).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -42741530.\nAnswer: 3\/42741530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7 and -215790?\nAnswer: -366843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)*-1 + sqrt(84) + sqrt(84) + sqrt(84) - sqrt(84))*3 + sqrt(84))\/(1*sqrt(192)))**2 - ((sqrt(847) + sqrt(847) + 1 + 5)**2 + -3).\nAnswer: -3414 - 264*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w + 4. Let q(j) = 438. Let k(u) = 125. Let v(l) = 7*k(l) - 2*q(l). Determine -f(i) - 6*v(i).\nAnswer: -10*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 2*i + 4, -5*t + 5*i - 20 = 0. Put t, -2, 1\/2 in decreasing order.\nAnswer: 1\/2, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.207, 7.72, 1\/3, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.75537 weeks to days.\nAnswer: 474.28759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 10380563*r**3 + 10380567*r**3 - r**2.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 15. Let b = 52 + -43. Let m be c(b). Which is bigger: -3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 12) in base 2?\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*v + 71*v + 17152 = 89*v + 149*v for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*v - 20. Let f be 15\/1*(-4)\/(-6). Suppose -3*k + f = -2*k. Calculate the remainder when k is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(sqrt(363) + -1) + -4 + 0 + sqrt(363) + (sqrt(363) - (-3*sqrt(363)*-2)**2).\nAnswer: -13066 - 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (sqrt(125) + sqrt(125)*1 - sqrt(125))**2).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5090760 to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 14.97. Let a = 19.43 + w. Let m = 21.73 - a. Round m to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8401 and 64635?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)\/(a*a*(a**(-11\/4)*a)\/a))\/(a**4*a**12) assuming a is positive.\nAnswer: a**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**2\/2 + 2698. Let y(u) be the first derivative of 82*u**3\/3 - 1. What is w(y(z))?\nAnswer: 82*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + j - 1. Let a(h) = h**2 - 4*h + 11*h - 3 + 3*h**2. Determine -a(o) + 5*k(o).\nAnswer: o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -34. Let k be q\/(-6) - 34\/120. Is k bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65, 456, 1109, 2024, 3201?\n\"Answer: 131*i**2 - 2*i - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 40959 - 40959 + 23*v.\nAnswer: v**2 + 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7052 divided by -2296\nAnswer: -43\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 24. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkot when four letters picked without replacement from ydtok?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-4)\/sqrt(10) + 5 - (5*(sqrt(95)*-3 - sqrt(95)) - sqrt(95))\/sqrt(5))**2.\nAnswer: 170*sqrt(19) + 5516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*(3*((-2*sqrt(228) + sqrt(228) - sqrt(228)) + sqrt(228)) + sqrt(228)))\/(sqrt(12) + sqrt(48)*-4 - (sqrt(48)*6 - sqrt(12))) + 4.\nAnswer: 1 + 4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 509057000 by 101811400.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -103*r - 4. Let k(d) = -52*d - 2. Let l(q) = 6*a(q) - 11*k(q). Let i be l(3). Round i to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.201 + 13.401. Which is the closest to -0.04? (a) h (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 1. Let i(b) = -483*b**2. Determine d(i(c)).\nAnswer: 1449*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(136))\/sqrt(8).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4973856013?\nAnswer: 7, 347, 1423, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*m + 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 - 24644*s + 75915842 = 0. Calculate s.\nAnswer: 6161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 - 2 = 0. Suppose 0 = -0*b - 3*b + 204. Suppose d*p - 7 = 5, 0 = 2*m + 3*p - b. Solve -2 = -2*a + 2*v, -m = 2*a + 5*v - v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (-8224 - 0)\/(-2). Let m = -41147\/10 + i. Calculate the common denominator of 11\/2 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**4\/12 - 4*p**3\/3 + p**2 + 3*p. Let l be f(8). Solve -4 = 2*i + l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -32236*l. Let h(p) = 26761*p. Calculate n(h(k)).\nAnswer: -862667596*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49106 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 42 + 88. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3834 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 15*i + 9*i - 129 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -2) + 15 - 1. Let a = 33 - p. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16988 divided by 124?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 354417*v + 354420.\nAnswer: -3*(v - 1)*(v + 118140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(156)\/(sqrt(12) - (sqrt(300) - (sqrt(300) + sqrt(300) + (sqrt(300) - sqrt(300)*1) - sqrt(300)) - sqrt(300))).\nAnswer: sqrt(13)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 + 18*z\/11 - 72\/11.\nAnswer: 2*(z - 3)*(z + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 10)*(-4)\/4. Solve -p - f*p = 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2 - 10*v - 6. Let h be u(-9). Let i be (-4 - h) + (3 - -1). Suppose -20 = 4*k - i. Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryyxyryeeyvxrxyxvey. Give prob of picking 1 e and 1 v.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3899993 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430.7 minus -17760753093?\nAnswer: 17760755523.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.1 + 30.1. Let t be (-560)\/(-168) - 7\/3. Which is the closest to t? (a) -0.1 (b) 4\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q - 144*q + 330*q + 682*q + 675*q.\nAnswer: 1517*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjjjccjjcjjc. Give prob of picking 2 j and 1 c.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/15 and 53\/1995?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.72? (a) 1\/23733 (b) -2 (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 121.99?\nAnswer: -24.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1332*i + 1291. Let g(p) = 2*p. What is g(t(r))?\nAnswer: -2664*r + 2582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1*5 - (sqrt(68) - 3*(sqrt(68) - sqrt(68)*3)))\/(6*-1*(sqrt(4)*-2*4 + sqrt(4))).\nAnswer: -sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 67. Let k(f) = 5*f**2 + f. Let n(d) = -d. Let r(i) = c*k(i) - n(i). Let u(o) = 11*o**2. What is r(u(t))?\nAnswer: -605*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 0*s**5 - 7*s**2 + 0*s**3 + 5*s + 0 + 1\/30*s**6 + 0*s**4. Differentiate i(d) wrt d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141672?\nAnswer: 2, 3, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*t - 11, -4*t = -3*k + 1 + 30. What is the highest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -802 - -807. Suppose 3*t + 93*b = 90*b + 615, b + 1037 = x*t. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**6\/120 - m**5\/30 + m**4\/4 + m**3\/2 + 4*m**2. Let f(k) = -7*k**2 + 9*k - 6. Let w be f(1). What is s(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**8\/336 - u**5\/60 + 2*u**2 + 4*u. Let w(k) be the first derivative of g(k). Find the third derivative of w(s) wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*z = -n + 11, -1 = -z. Suppose 0 = 2*w + 5*j - 32, 5*w - 99 = -n*j - 0*j. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 10\/259, 1, 0.1 in ascending order.\nAnswer: 10\/259, 0.1, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a + 124*a**5 + 3*a - 40*a**5 - 82 wrt a.\nAnswer: 1680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11121.\nAnswer: 3, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5 + 3403\/63910 + (-2)\/11\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3010458676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3, -472, -3 in decreasing order.\nAnswer: 3, 1\/3, -3, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/185? (a) -2\/3 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {u: 9, f: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 21*x**2 - 128*x - 1057. Calculate h(-17).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2835 and 318654?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/160*(-20)\/24)\/(321\/(-428))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - 2*y + 334 + 2*y + 15 + 1301 to t + u*y + g*y**2 and give t.\nAnswer: 1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 205 and 44?\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)\/((-5)\/15). What is the third biggest value in -4\/5, 2, a?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a hour in seconds?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -158 divided by 6\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 335689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from pppppxqlipj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(88)\/sqrt(4)*-5 + sqrt(22))\/(sqrt(1250) - sqrt(2)))**2.\nAnswer: -55\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21715 is divided by 1015.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/3 - 4168*v**2\/3 - 711620*v\/3 + 209582800\/3.\nAnswer: -4*(v - 148)*(v + 595)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43.1 - 43. Let k = 2 + -7. What is the nearest to f in -9\/5, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1317?\nAnswer: 10536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5 = 4*m + 9, 0 = -2*n + 5*m + 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 10:18 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 133*h - 3685. Calculate y(28).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2599 + 943441\/363. Is r less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 10001002112?\nAnswer: 10001002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 158. Suppose d + 5*y = 52, 25 = -3*d + 5*y + r. What is the smallest common multiple of d and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22911844 + -270.\nAnswer: 22911574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -193.257347333\nAnswer: 193.357347333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.04 (b) -1 (c) -165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*f**4 - 57*f**4 - f**4 + (-1 + 1 - f)*(f**3 + f**3 + 0*f**3) - 2*f**4 - 2*f**4 + 0*f**4.\nAnswer: -47*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**4*s - 5*b**3*s - 60744*b**3 + 6*b**2*s + 7733*s + 8 wrt b.\nAnswer: 72*b*s - 30*s - 364464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from {n: 13, q: 2, r: 3}.\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6\/17)\/((b**(-16)*b)\/b*b)*(b**5)**(-36) assuming b is positive.\nAnswer: b**(-2811\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 7*r + 3. Let q be n(8). Let z be (-4)\/q + (-1)\/5. Which is the second biggest value? (a) 3\/4 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/21)\/(309\/5253).\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78919.269 < 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 4*j - 1. Let c be s(4). Let u = c - 13. What is the second derivative of -36*k + 34*k - 1 - 11*k**u + 1 wrt k?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210\/23 - 4033\/414. Calculate the common denominator of a and (-39)\/(-3) + 10449\/(-324).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12649 - -5 - (-1)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*q**3 + 225080*q**2 + 337485*q + 126540.\nAnswer: 5*(q + 2812)*(4*q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158772361 and 638.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 22. What is p(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -2 - 2) + 310 + 5. Suppose -f = -3*a + c, 0*c - 2*c = 4*a - 424. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 89*i + 2333. Determine g(-26).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -320121 (base 5) in base 2?\nAnswer: -10100110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 6, 83, 5, -4.\nAnswer: -4, -3, 4, 5, 6, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - n**2 + n - 1. Let w(y) = 28*y**3 - 26*y**2 + 2*y - 2. Let u(h) = 2*g(h) - w(h). What is the third derivative of u(p) wrt p?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/(-8)*5*(-24)\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-95)\/(-25) + 4\/(-5). Suppose -2*p + 392 = d*p - t, 164 = 2*p + 2*t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*h + 2393 + 1990 - 1621 + 2866 = 0 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 532\/55 - 102\/11. Let j(r) = r**2 + 7*r + 5. Let f be j(-6). Let y = 1 - 1.2. Which is the third biggest value? (a) g (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 3488.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7302 + 16324. Let t = 13218 - k. Suppose g = 5*g - t. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(351\/(-26) - -13). Determine z so that -k*z - 1\/2*z**2 + 1 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60304 - -87543. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3 + 11492*p**2 - 16565568*p + 164508480 = 0.\nAnswer: 10, 2868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 10 - (3 - 1)) + -2 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 2*b**2 + 17*b + 164. Let j be u(-4). Solve -2*m + 2*l + 2 = j, -m - 2*l + 2 + 11 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*n - 30, 2 - 10 = 4*n. Solve 5*s + q*a - 14 + 3 = 0, 20 = 5*a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11601433 and 15.332?\nAnswer: 11601448.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129.25 - -27.45. Let j = g + -30.7. Let m = j + -126.61. What is m rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 4049913.2.\nAnswer: 16199652.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*8\/((-2)\/(-1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3458694?\nAnswer: 2, 3, 23, 71, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + h = 2*h + 8, -2*h = k + 7. Let r be (-6)\/3*k - -7. Let o = -2 + r. Solve 3*c + o*f + 18 = 0, 10 + 12 = -3*c - 4*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = y - 0*y. Suppose -c + 7 = -y. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*f = -10, -5*l + f + 15 = -0*f. Let t = l - 2. Let g = -427\/5 - -85. Is t < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*f**4 - 2303*f**3 + 2303*f**3)*(0*f + 3*f - 4*f) - f**5 + 0*f**5 + 3*f**5.\nAnswer: -115*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(-6*h + h + 4*h)*((-2*h - 2*h + 5*h)*(2*h - 4*h + 4*h) + 0*h - 3*h**2 + 0*h) in the form t*h**2 + n*h + m + g*h**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5162138117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -40) + -41 - (1 - 8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7)\/(5\/12*(-5319)\/5910)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbtkgbt. Give prob of sequence tgt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**3\/2 - 157*z**2\/2 - 395*z - 228 = 0.\nAnswer: -4, -2\/3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 24 + 0 = 0. Let z(f) = 9*f - v*f + 9*f. Let a(q) = q. Let d(y) = y. Let r(l) = a(l) - 3*d(l). Determine z(r(g)).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 - t**2 + t + 1. Suppose -3*j = -7*j - 4. Let q be p(j). Solve -q*i = i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4771 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4140 and 1626075.\nAnswer: 149598900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -9\/428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4 = -29. What is the remainder when ((-36)\/b)\/(11\/((-2475)\/(-10))) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 295*r**2 + 2600*r - 5360.\nAnswer: -5*(r - 4)**2*(r + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/6 + (-7)\/21. Let f(o) be the third derivative of o**2 + 0*o + 0 + 0*o**l + 1\/60*o**5 - 1\/8*o**4. Find the second derivative of f(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 17?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2\/5, -163?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84\/149 - 8433\/3278. Find the common denominator of -117\/10 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*z - 11 - 7, z = -4*y - 1. Let f = 0.431 + -0.031. Let w = -85 - -423\/5. Which is the nearest to w? (a) 1\/5 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 32 = 26. Let g be w\/4 - (4 - 5). What is the smallest value in 2, g, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 68 = 5*j. Suppose -6*m + j = -4*m - 3*w, 0 = 3*m + 2*w - 19. What is the lowest common multiple of m and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -86, -179, -286, -407, -542?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3877023 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115850 a multiple of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181836, -181681, -181526, -181371, -181216, -181061?\nAnswer: -180906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/15))**19 assuming g is positive.\nAnswer: g**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119870 is divided by 170?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1730 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12117 (base 10) to base 11\nAnswer: 9116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = z + 10, z + 5*d = 6*z + 30. Let n(y) = -y**3 - 2*y**2 - y. Let w be n(z). Suppose 6 = w*v - 4. Put v, -4, 3 in ascending order.\nAnswer: -4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -193229 bigger than -4444274\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -113130333 (base 4) in base 11?\nAnswer: -661a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 76 - 188 + 112.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69\/319 - 1\/29. Sort -5, -0.4, u, -3 in increasing order.\nAnswer: -5, -3, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/114*(-6)\/(-16)*192\/24?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/4 + (1 - (-25)\/(-5)). Suppose 0 = -r + x, -8*s + 173 = -6*s - 5*r. Let m be (15\/2 - 2)*2. Calculate the highest common divisor of m and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 24 + 87 = 0. Solve 2*m = 11 - s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 88 - 26 = 0. Let i be 308\/5 + (y\/5 - -8). What is the greatest common divisor of i and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2865731)\/(-235) + -3 + 12\/5. Round t to the nearest 100.\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2449 from 49.\nAnswer: 49.2449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 159*b - 541. What is w(76)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36053 divided by -1006.\nAnswer: 36053\/1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 647260?\nAnswer: -647252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3431 + -1280?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -36. Let n = o + 13. Solve 0*r + 4*r - 14 = -n*w, 0 = w - r + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/5 - 126*f**3\/5 + 7567*f**2\/5 + 86316*f\/5 + 78624\/5 = 0 for f.\nAnswer: -168, -9, -1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 54623 and 17?\nAnswer: 54606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5696.8259 + -5696. Let h = y - -18.1621. Let n = 19 - h. Round n to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*690\/(-90)*(-1)\/1. Solve -i*o = -6*o + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -4165?\nAnswer: -4200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*i**5 + 2*i**5 + 5*i**5 - 5*i**5 + (-62*i + 62*i + 5*i**3)*(3*i**2 - 2*i**2 + 0*i**2).\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 2*i - 4*i)*(5 + 6 - 3)*(3*i - 2*i - 4*i)*(181*i + 1418 - 1418)*(4*i + 3*i - 4*i) to the form k*i**4 + s*i + z*i**3 + c*i**2 + d and give k.\nAnswer: 26064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -124758616 divided by 4?\nAnswer: -31189654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -b718ca4?\nAnswer: -b718ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.51 + 3.41. Which is the closest to 0? (a) 0.4 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a = -40. Let l(r) = r - 8. Let t be l(a). What is the remainder when 25 is divided by (9 + 0)*(t - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-770)\/220*(6\/(-14))\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmnnmmnnmmmn. What is prob of picking 2 m?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 13*n + 18. Give u(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*4*((sqrt(720) - -1*sqrt(720))**2 + -4)*5*-6 + 5.\nAnswer: -1380475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/1*135\/(-2025)*25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 909436609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round -3.16606394 to 2 dps.\nAnswer: -3.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30710, 61345, 91982, 122621, 153262, 183905?\n\"Answer: h**2 + 30632*h + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 11:45 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.13333 - -3.3024. Let r = h + -0.17. What is r rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188381*q**3*y - 2*q**3 + 4860*q - 2 with respect to y.\nAnswer: 188381*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6993 is divided by 2987?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-5 - 1 - -13)) + 6 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1 - 2 + 20 + 51*k**2 - 146*k.\nAnswer: 51*k**2 - 146*k + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -84577 (base 12) in base 8?\nAnswer: -523053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -33, 2.\nAnswer: -33, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 207393919 divided by 1?\nAnswer: 207393919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 3246?\nAnswer: -3250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwfp when four letters picked without replacement from fpwp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 299718673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34500557341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/17100342 and -10\/950019.\nAnswer: 17100342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1917*s - 52*s**2 - 82*s**3 + 1917*s wrt s?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.098 - 1.978. Let x = -106.12 + o. Let z = -107.999898 - x. Round z to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 6*o**2 - 5*o - 4. Let g = 42 + -47. What are the prime factors of u(g)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -317 by 19703.\nAnswer: -317\/19703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -644 - -429. Let v = -219 - n. Put 5, -2, v, 11 in ascending order.\nAnswer: v, -2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -133)*1 - 4. Let f be (-4)\/5*u\/54. Solve -4*q = 5*c + 11, -f*q + c = -3*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 811300728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 720\/7*q**2 - 20\/7*q**4 - 40\/7*q**3 + 2\/7*q**5 - 6912\/7 + 0*q.\nAnswer: 2*(q - 6)**3*(q + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 221 and -148.\nAnswer: -32708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119.5 + 172. Let p = f - 52.747. Let u = -0.24583 - p. What is u rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 516 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 - 19064*t + 19064*t.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1979478 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 1\/6*s**3 + 1\/24*s**5 + 0 + 0*s**4 + 0*s + 3*s**2. Let x(q) be the first derivative of z(q). Give x(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 3*l + 10. Let b be m(-4). Let s be -1010*360595\/b - 1\/3. Let f = s - -22340032. What is f rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y - 15 = 0, y + 145 = -m. Let r be (4\/(-5))\/(20\/m). Suppose r*v = 10*v. Put 4, -3, v in increasing order.\nAnswer: -3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + 6 + -7)*(1 - -466)?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 14 = -4*q, 0 = -q + 3 + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26517347 (base 8) in base 2?\nAnswer: -10110101001111011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y = 36*y - 165. Let l be (y\/(-22))\/((-1)\/(-2)). Let k be (-99)\/60 - 3\/5. Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 452*d**2 - 475. Let i(b) = 906*b**2 - 950. Let w(x) = -4*i(x) + 7*p(x). What is the derivative of w(f) wrt f?\nAnswer: -920*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -463920290 and 0.2.\nAnswer: -463920289.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 1007316?\nAnswer: 1007317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 + 3*b**2 + 4*b + 9. What are the prime factors of k(5)?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1587\/15 - 18\/(-90). Is 40 a factor of (-4)\/(5\/r*64\/(-240))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j**2. Let c(w) = 3568*w. Give c(b(p)).\nAnswer: 39248*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51561 - 10?\nAnswer: 51551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -99. What is the greatest common factor of 513 and l?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7480 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 72*q + q**2 + 37*q + 4*q**3 + 36*q as f*q**2 + b*q**3 + i + o*q and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from eagvl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/6)\/(-1) + (-1885)\/2262. Let a = 0.1 - 0.3. What is the closest to k in 1, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a - 17*a - 22*a - 18*a to m*a + d and give m.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 5. Let o be g(3). Let p be 1\/o - (-71)\/2. Solve 5*s + 7 = -5*w + 2, 0 = 5*w - 5*s + p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*j**3 - j - 7*j**5 + 23 + 91*j**3 wrt j.\nAnswer: -140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/42*18)\/(19 + -2 + -18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + p - 6 - 2*p**4 + 1959*p**2 - 1958*p**2 - 3 as s*p**3 + m*p**2 + v + q*p**4 + t*p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259.5647ug to tonnes.\nAnswer: 0.0000000002595647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-450)*4)\/(222\/370).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 15*z + 19. What are the prime factors of x(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 3, -16, -65, -156, -301?\n\"Answer: -2*w**3 + 3*w**2 + 4*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 109 + 109.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*b + 131*b = -5994 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - sqrt(77)*2)*1)\/(sqrt(132)\/(2*sqrt(12))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**2 - 31*j - 158. Let c(q) = q**4 - 9*q**2 + 63*q + 316. Let x(t) = -4*c(t) - 9*i(t). What is the first derivative of x(z) wrt z?\nAnswer: -16*z**3 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2448) + -2*sqrt(2448) - sqrt(2448)))**2*6 + -3 + (sqrt(2448)*-2 + 2 - -1*sqrt(2448)*-2)**2 + -3.\nAnswer: -192*sqrt(17) + 567934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(24\/(-135)) + 7\/(119\/(-102))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 5*h**3 + 2*h**3)*(-70 + 8*h**2 + 70) + (h**4 + h**4 + 0*h**4)*(-2 + 2 + h) - 2*h**3 - h**5 + 2*h**3 - 1 + 1 + 2*h**5.\nAnswer: 43*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2. Let r(d) = -42*d. Determine p(r(a)).\nAnswer: 3528*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17005094 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, n: 3}. Give prob of sequence nnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*l + 607 = 35. Solve -14*t + 31 = -l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*k + 29 = 0, 0 = -2*w + 5*k - 137 + 123. Determine m, given that 2\/9 - 2\/9*m**2 - 2\/9*m + 2\/9*m**w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/2)*s**6)\/(s\/(s\/(s\/(s*s**2)))*s\/((s\/(s\/(s*(s*s\/s**(-2)*s)\/s)))\/s)) assuming s is positive.\nAnswer: s**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2550885*q**2 - 4*q - 60726687 with respect to q.\nAnswer: 5101770*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -838 + 914. Calculate the greatest common factor of 57 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (-1 + sqrt(192)*2 - (5 + 2*sqrt(192)) - ((sqrt(192) - (sqrt(192) - -1*sqrt(192)*2)) + 1))**2).\nAnswer: -4896 + 1344*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5313235*h**2 + 2656694*h**2 + 2656540*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*t - 5*t + 6*t + (12 - 9 + 6 + (-3 - 1 + 2)*(-1 + 3 - 4) - 1 - 1 + 0 + 0 - 4 + 2 - 3 + 5 + 0 + 5 - 1 - 5)*(t + t - 4*t) to c*t + u and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = 4*b - 2*k + 20, 3*b - 2*k + 5 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -455, -683, -927, -1187, -1463, -1755?\n\"Answer: -8*g**2 - 204*g - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h**2 + 6*h + 3. Let o(i) = -7*i**2 + 8*i + 2. Give -4*c(u) + 3*o(u).\nAnswer: 7*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*w + 10, 3*a - 3*w = -4*w + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 38. Let s be (z + 0\/(-2))*3\/6. Let w = 3 - 3.5. Which is the closest to 0? (a) 0.3 (b) s (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -450*u - 578. Give r(-1).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1062420*z**4 + 2*z**2 - 6169820 wrt z.\nAnswer: 25498080*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Let b(c) = 2*c**2 - 3*c + 3. Let d be b(m). Suppose 0*i + 3*i = d. What is the nearest to -2\/7 in -0.3, -1\/3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b7381 (base 13) to base 8\nAnswer: 1204662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 5*n - 11 = 2 + 10, 0 = -25*a + 23*a + 3*n + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 + -111. Suppose -227 = 3*x - 2*b, x - 5*b + 18 = -p. What is x rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32 - 621?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 889349459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7378426 and 2683064?\nAnswer: 29513704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/25)\/((p**(-8)\/p)\/p)*p**12\/((p**10*p)\/p*p))**(-1\/4))**(6\/37) assuming p is positive.\nAnswer: p**(-831\/1850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 29 = -5*n, 6808*n + g - 27 = 6805*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1032, 2070, 3110, 4152, 5196, 6242?\nAnswer: 7290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*j - j. Let o = 13 - j. What is the lowest common multiple of 20 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15527, 15449, 15371, 15293, 15215?\n\"Answer: -78*a + 15605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 940349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 762 and 618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49.48 + 57.582. Let b = u + -0.102. What is the smallest value in 2\/11, 0.2, 5, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gic when three letters picked without replacement from vvcgcgrggcri?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -343649 to the nearest ten thousand.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*n - 0*k + 37, 2*n = 5*k - 9. Suppose 5*l = -3*x + 185, -n = -4*x + 4*l + 228. Let h = 8 + -6. What is the smallest common multiple of h and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biicbbckuccbciw. What is prob of sequence kb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i\/(i*i**0))\/i*i)**(-16)\/(i**6*(i*i**(-3\/11))\/i))\/((i\/(i*i\/i**0*i))**(-27)\/(((i\/(i\/(i**(-2\/25)\/i*i)))\/i)\/i*i**7*i)) assuming i is positive.\nAnswer: i**(-23597\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**4\/24 + 140*q**2. Let s(f) = -47*f. What is w(s(z))?\nAnswer: -47*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2436606 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -23. Let o be (-48)\/(-16) - (3 - w). Solve 3*n + 16 = s, -2*n - 4 + o = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -126*m**3 - 4*m**2 - 2*m - 8. Let f be w(-4). Round f to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, y: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - 10 - (-9 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -45, -12, -2\/67?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 p, and 1 r when three letters picked without replacement from ipgpqgrrqggqpqgqgq.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35537 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -2, -0.63, 1, 0.209?\nAnswer: 0.209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000010000110 + 100?\nAnswer: -1001000010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 9*p - 29 - 28 - 35.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20815055 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 27. Let g be 1 - -5 - (n - 7). Let q = g - -2. Solve 2*p + 2*r + 10 = 0, p - r + q = -3*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41301222 (base 5) in base 16?\nAnswer: 52717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5012136*g**3*o**2 - 2*g**3*o - g**2*o**2 + 7878*g**2*o - 2*g*o - 20*o wrt o?\nAnswer: 10024272*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 = 3*d, 3 = -4*d - 3*g + 19. Solve d*a - 15 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/120 and (-605)\/(-45)*-1*2\/(-48)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 2*n. Suppose 4*l - 10 = -l. Let t be (5\/5)\/(l\/4). Calculate m(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21\/2 (b) 0.1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94889, 97523, 100173, 102845, 105545, 108279, 111053, 113873?\nAnswer: 116745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -105 (b) -37 (c) -0.2948 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 7:43 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 m, and 1 k when four letters picked without replacement from {d: 5, k: 1, e: 9, m: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.31, -1, -0.2, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 54*o**3 - 7*o. Let y(f) = -52*f**3 + 8*f. What is -3*m(h) - 4*y(h)?\nAnswer: 46*h**3 - 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 11*q**2 - 1379. Let w(v) = -19*v. Calculate y(w(r)).\nAnswer: -418*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116749632 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 221\/5164 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008838991 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1625, -3227, -4787, -6299, -7757, -9155?\nAnswer: -10487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qri when three letters picked without replacement from qqqmiqqiqrqqiqhqdqq.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6383900 - -76486187\/12. Let z = q - -10040. What is the common denominator of -109\/6 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37621 is divided by 15036.\nAnswer: 7549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + -5 + 10 - ((-27 - -9) + 11).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 (base 16) in base 13?\nAnswer: b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7246512 divided by -56?\nAnswer: -129402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7210 (base 14) to base 6\nAnswer: 230450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, -2\/17, -5, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 83 = 48 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 7*n**2 - 2*n.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/2 + 1735085*b\/2 = 0. Calculate b.\nAnswer: 0, 1735085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*z + 389 - 210 + 2461 = 0 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -8*u + 14. Solve -2*c - u*c = -12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4859 + -4860. Which is the nearest to 0.2? (a) 5 (b) p (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -6 - 3)\/2. Suppose -5*p + s + 121 = 0, -3*s = -y*s - 12. Let z = p + -3. What is the smallest common multiple of z and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -147411*o**2 + 32*o - 4128629 wrt o?\nAnswer: -294822*o + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: (8 - 0 - (-5 + 10)) + (90 - 87) - -62\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 4\/25751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -22*h**2 + 596. Let a(b) = 10*b**2 - 299. What is -13*a(j) - 6*v(j)?\nAnswer: 2*j**2 + 311","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-34)\/(j**(-4\/27)\/j))\/(j**(3\/7)\/j*j**27) assuming j is positive.\nAnswer: j**(-11204\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18254261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091808828 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 12:56 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 68161 (base 9) in base 3?\nAnswer: 2022012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2 + 638224*h + 50916234272 = 0.\nAnswer: -159556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-8 + -4 - (2 - -4))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, t: 1, f: 1, a: 8, c: 1, e: 2}. What is prob of picking 1 e, 2 a, and 1 j?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 4. Let o be v(-7). Let y = o + -3. Solve r + y - 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 23*o + 14. What is the units digit of i(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995807 is divided by 8992?\nAnswer: 6687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**11*c*c*c*c**(-2)*c)**(-8))**11 assuming c is positive.\nAnswer: c**(-1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) - (sqrt(108) - 3*(sqrt(108) + -2)).\nAnswer: -6 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 4*o - 357 = 0, 274*o + 390 = 5*x + 540*o - 271*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 141\/27 + (-4)\/18. Let s be (-1 + r)\/(2\/4). Is ((-12)\/s)\/(3\/(-68)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/9177 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q*w**4 + 3*q*w**3 + 2*q*w**2 + 31*q - 280*w**4 - w**2 wrt w?\nAnswer: 24*q*w + 18*q - 6720*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v + 7. Let b(i) = -2*i - 2. Let u(s) = -7*b(s) - 2*m(s). Let q be (1\/3)\/((-4)\/(-24)). Let t(j) = -j + j + q*j**2 + j**2. Determine u(t(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2\/13, -2, 0.6, -775?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 393 = -162. Sort -0.1, u, 6, 3 in increasing order.\nAnswer: u, -0.1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(56))\/(4*(sqrt(2) - (sqrt(12)\/sqrt(6) + sqrt(2)))).\nAnswer: -2 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/2 - 789*y**2\/2 - 4653*y\/2 - 6939\/2.\nAnswer: -3*(y + 3)**2*(y + 257)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74369 = 2*j - 514047. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29b6 + -e9?\nAnswer: -2ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q - 44. What is the smallest common multiple of 15\/(-9)*84\/(-20) + 101 and q?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10240.12 rounded to the nearest one hundred?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.6 - -7. Let c = -76 - -118. Let t be ((-4)\/c)\/(4\/(-12)). What is the second biggest value in g, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 433, 440, 447, 454, 461?\n\"Answer: 7*h + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(t + 4*t + t)*(0 + t**4 + 0).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.1861073?\nAnswer: -0.7444292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 7 + 3. Put a, -9, 0 in decreasing order.\nAnswer: a, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -451626 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**5\/20 - 3*n**4\/4 + n**3\/6 - 7*n**2\/2 + 584*n. Determine m(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485723 is divided by 547?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 16. Suppose -5*w + 15 = -p, 5*p = -0*w - w + 3. Suppose -w*m + 3*f = 2*m - 253, 153 = 3*m - 3*f. What is the remainder when m is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) - (-8)\/(-6). Which is smaller: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13232 is divided by 4402.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 + l**4 + 4*l**2 - l**2)*(1024 + 396 + 1109) in the form r*l + a + v*l**2 + n*l**4 + c*l**3 and give v.\nAnswer: 5058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1130 = 5*v + 1160 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/(-3) - (-11)\/33. Let d = s - -86. Calculate the remainder when d is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5941 - 4104. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 < 6458\/251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 4*s. Let p(c) be the third derivative of c**4\/24 - 14*c**2. Give p(o) + w(o).\nAnswer: -o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -16. Suppose 6 = 3*f + t. Calculate the remainder when 15 is divided by (f - -2)\/1 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2216723 is divided by 172?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -38. Suppose r*p + 8 = 62. What is the remainder when p is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 = -2*w. Suppose 0 = -2*i - b - w + 4, 2*i = 2*b - 6. What is the common denominator of (12\/(-10))\/((-1)\/i) and -31\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o + 3*u + 82 = -26*o, o - 2*u - 15 = 0. What is the remainder when 18 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38, -35, -56, -125, -266?\n\"Answer: -4*c**3 + 12*c**2 - 5*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 16 = 4. Let x(v) be the first derivative of -2*v**2 + j*v**2 + 1 - v**2. Determine x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15659\/(-595) - -10 - -19. Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.1 and 3389076856?\nAnswer: 3389076854.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 + 3 + (16 - -49 - 36).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l**2 - l**2 - l**2 + (-16*l + 25*l + 11*l)*(2*l + l - 5*l) + 0*l + 2*l**2 + 0*l.\nAnswer: -47*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 177?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2855\/(-7994))\/((-14)\/(-3332))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqeqgqqqqqqqgqq. Give prob of sequence ggqq.\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32524800 rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4470127 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -5*j + 2*j. List the prime factors of (0 - 6)\/((-4)\/j).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, z: 4, b: 6, d: 6}. Give prob of sequence yddy.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6 - (6 - 10)) + -4 - -6) + -25.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:15 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - -4 - 6\/(-12). Suppose 2*y + 10 = -2*r, 5*r + 2*y - 5 + 24 = 0. Suppose c - 2*c + 5*f + 10 = 0, -4*f = -3*c - 3. Sort c, 4, k, r.\nAnswer: c, r, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1723 - 1768 - (-74 - -1)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 152*j**3 - 2*j - 1. Let v(b) = 761*b**3 - b**2 - 11*b - 4. Determine 2*v(u) - 11*z(u).\nAnswer: -150*u**3 - 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -11 + 8 + 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-68)\/(-408))\/(5\/6))*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 124 - 8. What is the tens digit of -4*(1 - f)*(-3)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66066 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*6\/(-9) - 3. Let r = 3 - y. Solve -5*c + 6 = -r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 - (-48)\/9. Let f = 95 - 187. Let d = -37 - f. Calculate the greatest common divisor of h and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 129*y + 157. Calculate x(-71).\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Let q(c) be the third derivative of c**4\/8 - 5*c**3\/2 + 143*c**2 + c. Calculate p(v) + q(v).\nAnswer: 2*v - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 0.2, 0.5, -2, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023054 (base 8) to base 10.\nAnswer: 271916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/10)\/((-1)\/(-30)). Suppose -10*a - 35 = -r*a. What is the remainder when a is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-5)*19\/38\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -9. What is the second smallest value in u, 3\/4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2485466183?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - ((-661)\/3 + 1). Calculate the greatest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2684172 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.925 - 40. What is f rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**6\/40 - 31*f**5\/20 + 35*f**4\/2 - 344*f**2. Factor q(n).\nAnswer: -3*n*(n - 4)*(n + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -101101010001101111001100?\nAnswer: 101101010001101111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 714 - 714 + 19*z + (2 + 2 - 3)*(-z + 0*z - z).\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243894 and 46456?\nAnswer: 975576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -257, 3546, 13867, 33964, 67095, 116518?\n\"Answer: 543*i**3 + i**2 - i - 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/(-144) + (-2)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 0*l**4 - 4*l**4 + (0*l**4 - l**4 - l**4)*(1 - 3 + 3) - 164*l**4 + 13*l**4 - 122*l**4.\nAnswer: -277*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1399, 5 in increasing order.\nAnswer: -1399, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 6*o + 2. Let j(x) = -x**3 + x**2 - x + 7. Calculate the remainder when j(0) is divided by i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123 - 164. Which is smaller: a or -40?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -969.6816915 rounded to the nearest integer?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3999999*y**2 + 7*y + 6. Suppose 0 = -4*r - 2*v - 2, 0 = -3*r - 6*v + 5*v - 2. Let p be g(r). Round p to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjhm. Give prob of sequence jj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Let z = q - -9. Let k be 3 + (3 + 0 - -2). Calculate the greatest common factor of k and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*j + 4 = -2, 16 = 5*d - 4*j. Calculate the smallest common multiple of 48\/(-2)*d\/(-6) and 26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o = -2*k - 30*o + 1, 3*k = 4*o + 36. Solve 4 = 2*h + 2*p, 11*p - 4 = -4*h + k*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126976486 is divided by 46?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d - 5 + 380*d**3 - 158*d**3 - 221*d**3 in the form a*d + h + r*d**3 + c*d**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -60, 2, -2\/17, 0.11?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 2*n + 0*n**7 + 0*n**5 + 0*n**2 + 0 + 0*n**3 + 0*n**6 - 5\/56*n**8 - 1\/12*n**4. Find the third derivative of f(o) wrt o.\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 35205*s**2 + 112359000*s + 52028086500.\nAnswer: 3*(s + 555)*(s + 5590)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:45 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:20 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**4*o**2 - 84*c**4 - 2*c**2 - 756*o**2 wrt c?\nAnswer: 8*c**3*o**2 - 336*c**3 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-0.38.\nAnswer: 0.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppdpyybydydyypyv. Give prob of picking 1 v, 1 d, and 1 p.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/272 and 67\/615774.\nAnswer: 4926192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 27. Let x(m) = -m - 2. Let b(i) = a(i) + 6*x(i). What is the first derivative of b(s) wrt s?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 11*i. Solve k - p = -1, i = 5*k + p + 10 + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 - g**3 + g**3 + (1 + 1 - 1)*(-2*g**3 + 2*g**3 - g**4) - 4*g**4 + 2*g**4 + 3*g**4.\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/13 + 356*q**4\/13 - 15804*q**3\/13 - 6824*q**2\/13 + 311678*q\/13 - 475260\/13 = 0. Calculate q.\nAnswer: -5, 2, 3, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from vuxojror.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 24*u**2 + 9*u + 331. Let m be h(23). Solve 7*r = m*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 0.0164?\nAnswer: 0.2836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y - 3300 - 28*y + 8*y + 3297.\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1269 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -5, -1, -0.3, -928\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 43*k**2 + 90*k + 115. Give f(45).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 25*r**4\/2 - 415*r + 176. Differentiate d(v) with respect to v.\nAnswer: 150*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1130 - -60. Let v = x + 470. What is v rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 275, -3, 2, 350, 6 in increasing order.\nAnswer: -3, 1, 2, 4, 6, 275, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 2*y + 1. Let h be r(-2). Let s be (-68)\/12 + h\/(-3). Let i = s + 10. Let q(z) = -2*z + 5. What is q(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2311752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193674.7 millennia to years.\nAnswer: 193674700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -8*y + 4*y. Let x = -84 - -83.7. Sort y, 2\/9, x in ascending order.\nAnswer: x, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 37 = 2*o, -5*u - 3 + 4 = -o. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -5*f + 26, 264*f + 29 = 269*f + 4*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30546093.262 + -30545155.26199349. Let n = o - 938. Round n to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -13. Suppose -4*b = 5*f - 28, 0 = x*b + b - f - 2. What is the second derivative of -2*v + 4*v**2 + 5*v**2 - 4*v**b - v**2 wrt v?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, 24, 84, 186, 342, 564, 864, 1254?\n\"Answer: 2*k**3 + 3*k**2 + 7*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -8649 and -8648 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000479 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50943750 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -52c1e (base 16) in base 7?\nAnswer: -2611156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 373*z**2\/3 + 374*z\/3.\nAnswer: -z*(z - 374)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 398802547 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*f**3*k*w**2 - 7*f**3*w**2 + 8846*f**3*w - f**2*k*w - 40*k*w**2 + 2725*w**2 wrt f.\nAnswer: 114*k*w**2 - 42*w**2 + 53076*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*z - 2*d + 8, 5*d = 3*z + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/170601?\nAnswer: -2\/170601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 23 + (10 - (6 + (1 - -12))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Suppose 2*y + a*y = -j + 14, 4*y - 4*j = 28. Find the second derivative of -2*t**3 - 12*t + y*t - t**3 + 11*t wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = -t, 3*t - 37 = 3*v + 14. Suppose -2*n + 7*n - 870 = 0. What is the remainder when n\/4 + 2\/4 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*q + 13, -3*k - q = -k - 36. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198220?\nAnswer: 2, 5, 11, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-9))\/((-230)\/(-3420)*38)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4895 divided by 3\nAnswer: -4895\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**6\/120 + 7*v**5\/60 - 5*v**4\/24 - v**3\/3 - v**2. Let d be u(6). Is d greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 - 66. What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + 33. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5407 and 0.\nAnswer: 5407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32253 - 32252.97. Let m = -5\/12 - -2\/3. Which is the nearest to 2? (a) -1\/8 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**4 + v**3 - v**2 + v - 1. Let r(n) = -4*n**4 + 3*n**3 - 3*n**2 + 3*n - 15. Let l(k) = -3*b(k) + r(k). Differentiate l(j) wrt j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.3 - -216822962482.\nAnswer: 216822962512.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16614)\/(-497))\/(-117))\/(((-8)\/(-154))\/(-4)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3528 - 3506 - (-1 - 1 - -68)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**4 - 6*b**3 + 3*b - 14. Let f(x) = -x**3 + x + 1. Let h(t) = -6*f(t) + y(t). Differentiate h(v) with respect to v.\nAnswer: 28*v**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.016 + 2.016. Let o = 1 - 2. Which is the nearest to o? (a) z (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*((-430)\/90)\/((-4)\/(8\/2))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 0 (c) 5 (d) -0.2873 (e) -2 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 + 25*c. Let p(o) = -2*o**2 + 17*o. Let k = 91 - 86. Calculate k*z(u) - 7*p(u).\nAnswer: -u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 9. Let b = 20 - z. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.05 (b) 111 (c) -20\/11 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/558162 and 10\/693.\nAnswer: 3907134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 23 = 11. Let h = 22 + -17. Calculate the lowest common multiple of ((-75)\/h)\/(3\/(-2)) and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 1, c: 2, e: 1}. Give prob of sequence cec.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 904*x**4 - 2736*x**4 + x**3 + 912*x**4 + 910*x**4 + 2*x - 31*x**2 in the form c + q*x**3 + m*x**4 + k*x**2 + r*x and give k.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2320\/7, -3, -1\/4, 2\/9, -0.05?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 71.8 and 1.9.\nAnswer: 73.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -6)\/(20\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15393 = 1945*q - 265*q - 82593 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from iodmgogiooiipiiiggd?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 + 2*r**2 - 2*r**2 + (-8*r**2 + 67*r**2 - 4*r**2)*(-r**3 + 4*r**3 - r**3).\nAnswer: 113*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 15 - -3) + 23 + 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**0)**(-13))**50)**(2\/11) assuming k is positive.\nAnswer: k**(-1300\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 + 372*a + 226 + 7*a**4 - 4*a**3 - 162 + 63*a**2 + 296 - 323*a**2.\nAnswer: 4*(a - 3)**2*(a + 5)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times -93233?\nAnswer: 2703757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 279*u - 53. Let d(m) = -m**3 + 9*m**2 + 9*m + 18. Let s be d(10). Is p(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - 1. Suppose 9*u = 12*u - 48. Let z be (u\/12)\/(1 - (-2)\/(-3)). Calculate p(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 f when three letters picked without replacement from ffffffffffefffffffff?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98260 is divided by 130?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 616620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5200 = -153*y + 158*y. Suppose 4*z = y + 1196. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(2\/(-21)*(-2226)\/(-212))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 942421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559378 to the power of 1\/2, to the nearest integer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x - 213 = 0. Suppose 3*a = 9, -u - 45 = -0*u + 2*a. Let h = x + u. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -8 + 12. Is ((-2778)\/(-12))\/(2\/w) + 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 17 + 8*m)*(8*m**3 + 2*m**3 + m**3) as i*m + d*m**4 + y*m**2 + z*m**3 + q and give d.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*t - 32*t + 3*x + 111, 4*x + 468 = 4*t. Solve 7*j = -23*j - t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-1) + 1 + -10. Let n = 39 - m. Suppose 2*w = -4*y + n, -38 = 4*y - 7*y + 2*w. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*p = 3*f - 92, -f + 4*p = -44. Let s be 500\/6 + (-8)\/f. Let r = s + 54. List the prime factors of r.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.665 - 100.\nAnswer: -100.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5*(580\/(-136))\/29.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 170*h - 600.\nAnswer: -5*(h - 30)*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*u + 6. Suppose -30 + 5 = -u*w. Suppose -4*y - 2 - 4 = 5*b, 0 = -w*y - 20. Sort b, -5, -4, -6.\nAnswer: -6, -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 54*s - 5. What is c(-1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 3, -218, 66?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -3, -5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -9*y**6\/200 - 114*y**5\/25 + 31*y**4\/2 - 104*y**3\/5 - 195*y**2. Solve k(c) = 0 for c.\nAnswer: -52, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 11:02 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {c: 5, g: 11}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 2919*u + 2920*u - 53, 0 = -7*k - 5*u + 137 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.1051812875, 3\/4 in decreasing order.\nAnswer: 3\/4, 2\/9, -0.1051812875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243276*d**2 - 7*d + 30*d - 14*d - 9*d - 243288*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 14) to base 10.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 20*b**2 + 21*b - 312. Determine z(11).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**3 - 2*p**2 + 1. Let i be g(1). Let y be 3\/(-1)*4\/i. Find m, given that 0 + 1\/3*m**y + 1\/3*m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14\/5 (b) 2\/9 (c) -527\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 - -136. Solve -r = -5*t - u, -r + 4*t + 1 = -6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49.1 - -359.1. Let g = -310 + f. What is the smallest value in g, -184, 0.1?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3422900402 to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -9*l**2 + 40. Let z(o) = -5*o**2. Calculate t(z(j)).\nAnswer: 90*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*p + 4, -4*l - l = 2*p - 20. Suppose 6*t - 4*t + 3*u = 273, p = u - 3. What is the greatest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3970305 is divided by 3970288.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.1 - 23. Let w = -20.2 + -1.8. Let x = t - w. What is x rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4 - 6. Let i be (2 - 2) + (1 - -1). Factor -2*b - b**i + b**2 - r*b**2.\nAnswer: -2*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12519 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 68. Suppose 117 = 3*w - v, 22*w - 19*w + v = 111. Let u = w - i. Solve -4*p = -5*c - 5, 5*p - u = 2*p + 4*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1539 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p = -16*p - 36. Calculate the greatest common divisor of 236 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 13*k - 17. What is z(13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1503\/7 + 215. Which is the third biggest value? (a) 0 (b) 0.1 (c) -2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - j**2 + 3*j - 1. Let l(f) = f**3 - 6*f**2 + 4*f + 7. Let p be l(5). Suppose p = -g + 2*g. Calculate the remainder when 15 is divided by x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4481305 (base 11) to base 9\nAnswer: -15683156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/9, 71, -3\/11308?\nAnswer: -3\/11308","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -3 (c) -0.07 (d) -5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*q + 10. Suppose -4*d = -q - 3. Suppose 0*w - d*w = 10. Let g(j) = -j**2 + 2. What is g(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 124.528?\nAnswer: -37.3584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -628. Let l = v - 543.999999417. Round l to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**3 + g**2 + 6*g + 1. Let t(z) = z**2 - z + 1. Suppose 0 = 3*v - v + 2. Let k(b) = v*q(b) + t(b). Find the second derivative of k(p) wrt p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73164 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 c(s) be the first derivative of -14*s**3\/3 + 15*s**2\/2 - 3*s + 473. Find the second derivative of c(h) wrt h.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 0.04?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.2 (b) 2 (c) -5 (d) -4\/3 (e) 9 (f) -0.0761 (g) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 16 = -a, 2*a - w - 18 = 3*w. Let b be 16\/(-14)*a\/4. Let y = 518\/5 + -104. Which is bigger: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3.1. Let u = j + 0.9. Let r = -0.2 - -0.3. What is the closest to r in -1\/2, -2\/5, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*m - 41, -4*v + 17 - 2 = -m. Let z be (2 - m)\/(-1) + 0. Let q(x) = -21*x + 2. Is q(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3 + y**2 + 3*y - 2. Calculate l(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*o. Let p be o\/((-2)\/(1 - (1 + 2))). Find c such that 5*c**5 - c - 5*c**3 + p*c**5 + c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-10) + 392\/(-40). Let f = 13 + c. Is f at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 1 - (-5 + 8 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423476 = 3*c + 191524. What is c rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2139 is divided by 692?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 268aa - -14?\nAnswer: 268be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {q: 10, d: 2, x: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 3 (c) -0.4 (d) 1308\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25699, -51406, -77113?\n\"Answer: -25707*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.026 or -0.1177?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*q - 196 = -280*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 24.2. Let p = z - 0.8. Put -2\/9, 1\/7, p in descending order.\nAnswer: p, 1\/7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -5*x + 4*d, 15204*x - 15215*x + 5*d - 122 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 135, 132, 129?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by -89327.\nAnswer: -79\/89327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 75 + 4*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 35.99. Sort a, -0.4, 2 in ascending order.\nAnswer: -0.4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14199 is divided by 128.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20058 from 140387.4.\nAnswer: 120329.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((72\/30)\/6)\/((-6)\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -6. Suppose -2*j - o*j = -55. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28949504, -28949493, -28949482, -28949471, -28949460?\n\"Answer: 11*m - 28949515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2016)*2*2)\/(sqrt(63)\/(sqrt(36)\/sqrt(4)) + sqrt(28)\/sqrt(256)))**2.\nAnswer: 131072\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 - 107.094. What is k rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16, -0.4, -0.03, -4\/13, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-30)\/(-8)*((-372)\/(-9) - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jddvvllmllv. What is prob of sequence ljm?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2 + 1509*q + 559170 = 0 for q.\nAnswer: -855, -654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + z**2 + 1. Let g(j) = 13*j**4 + 6*j**3 + 6*j**2 + 30. Let t(c) = 6*a(c) - g(c). What is the first derivative of t(r) wrt r?\nAnswer: -52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + 66. Let b = c - 91. Put -3\/2, -1\/7, b in ascending order.\nAnswer: -3\/2, -1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 14270 - 14270. Solve i*c = -10*c - 20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -1097.\nAnswer: -23037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*h = 24, -2*b + 3*h - 4 + 5 = 0. Let v = 6 - 7. Sort -2, b, v in ascending order.\nAnswer: -2, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5582.\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 171 = -49. Let j = -50 + l. Calculate the greatest common divisor of 55 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5252 (b) 1.35 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oeeeoezweoo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 100\/15 - 4\/6. Let c(h) be the second derivative of 0*h**3 + h**2 + 0*h**5 + 1\/15*h**s + 0 - 1\/3*h**4 + h. Factor c(t).\nAnswer: 2*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -430, -885, -1370, -1885?\nAnswer: -2430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*c + 34, 9*c = 4*c - 4*b - 36. What is the common denominator of 25\/14 and 34\/(-4)*c\/(-32)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21287 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 3*q + 2. Let o = 6 + -7. Let c(w) = -w**2 + w + 1. Let j(y) = o*a(y) + 2*c(y). Factor j(z).\nAnswer: -z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4137.3 - -4137. What is the fifth smallest value in l, -1\/6, 4, -1.1, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71330 + 63*r + 71336 + 13*r.\nAnswer: 76*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) - ((-129)\/9 + 2). What is z rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -13*u + 12954. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7 (b) -64 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 + 2*s - 2. Let c be q(1). Let x(k) = -21*k**2 + 13*k**c + 10*k**2. Let p(y) = 5*y. Give x(p(t)).\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -26. Let m = -14 - f. Suppose g - 84 - 95 = m. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63597806 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -21*y + 10*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 4*g**3 - g**3)*(-g**2 + g - g) + (1 + 2*g**4 - 1)*(16 + 8*g - 16) + 3*g**5 + 0*g**4 + 0*g**4.\nAnswer: 18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 1:12 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w**2 - 2. Let p(r) = -13*r**2 - 3. Let h(j) = 11*o(j) - 6*p(j). Let t = -127 + 124. What is h(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 3:44 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 1576020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/449 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (24 + (27 - 60))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*u + 83, 2*u + 5*i = 3*i + 58. Calculate the lowest common multiple of u and 7.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1013091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 23*u**6\/30 - u**5\/30 - 61*u**4\/8 - 97*u**2 + 4*u. What is the third derivative of i(t) wrt t?\nAnswer: 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(550)*1)\/(-4*sqrt(10)*2 + sqrt(10)))\/((sqrt(180) + (sqrt(180) + sqrt(180)*-1)*-2)*5).\nAnswer: -sqrt(11)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74232341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.95 - 1.35. Which is the fourth biggest value? (a) 0.4 (b) -5 (c) k (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2 and 95\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 14*b - 9. Let z be j(13). Suppose 1 - 21 = -z*n. Solve -5*g - 25 = 7*v - 2*v, -3*v - n*g - 21 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2774488 - -35.2775508. Let p = 35 - z. Round p to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 574 = -3*p - n, 3*p = 4*n + 586. Suppose 7*c - p + 29 = 0. Calculate the highest common divisor of 69 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 109*p = -32*p - 2700. What is the remainder when 314 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -3, -30, -2 in increasing order.\nAnswer: -30, -3, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 + -104. Let v be (-2)\/((-8)\/(-5))*-4. Let m = a + v. Solve -5*x + x + 4 = m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in 0.5, 4\/11, -11\/4?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.094 + -4.094. Which is the second biggest value? (a) d (b) 3 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**5\/10 + q**4\/3 - 32*q. What is x in i(x) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 + 73*b**2 - 75*b + 149*b + b**3 - 74*b as i*b + n*b**3 + m*b**2 + x and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 305 + -302. Suppose i*a + 5*y = 40, -16*a = -14*a - 3*y + 5. Solve -4 = -a*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, f: 3, b: 2}. What is prob of sequence fxb?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 124465597057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2395)\/(-1916))\/(1\/76). Suppose 3*w + 2*r = 1704, 3*r = -w + 2 + 559. What is the greatest common factor of w and n?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(8400\/(-63))\/(-25)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -2 - 12*n**2 + 3*n**4 - 26\/3*n**3 + 2*n**5 + 37*n. What is v in f(v) = 0?\nAnswer: -3\/2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 1}. Give prob of sequence ff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 2240 = 7*d. What is d rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6975 = 439*a - 664*a for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.92 + -0.08. Which is the second smallest value? (a) t (b) -1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -95\/307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -728*c**4 + 2*c**2 + 9*c wrt c.\nAnswer: -17472*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006402 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, -535, -3204 in descending order.\nAnswer: -0.3, -1, -535, -3204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**3 + 249*a**2\/4 - 393*a\/4 - 57\/2 = 0?\nAnswer: -1\/4, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*u**3 + 51*u**3 + 14*u - 2 + 4*u as t + d*u**2 + s*u**3 + g*u and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = -0. Suppose 30 = 5*x + 5*h, 4*x + b*h - 6 = 14. Suppose -4*a + 8 = t, -4 - x = 4*a + 5*t. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101201*u**4 - 90*u**2 + 91?\nAnswer: -2428824*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 13 + 17 - 12*n)*(-2*n**2 - 4*n + 4*n).\nAnswer: 24*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:45 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 3, g: 4, k: 2}. Give prob of picking 2 g.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 94*q - 129. Let d be u(-23). Let p = -1235 - d. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 18*t**2 + 17*t + 41. Let m be s(19). Suppose 3*x - 9 = -3*p, -1 = -x - m*p + 4. Sort -4, x, -19 in ascending order.\nAnswer: -19, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -34\/3*u**3 + 472\/21*u + 2\/21*u**4 + 232\/21*u**2 + 0 = 0.\nAnswer: -1, 0, 2, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7213 + -7212.999913458. Round p to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -994*k - 71*k**3 + 996*k + k**4 + 2*k**2 + k**2 to the form w*k**4 + o*k**2 + c*k**3 + i*k + g and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**6\/480 + l**5\/240 - 2*l**2 + 4*l. Let w(q) be the first derivative of y(q). Suppose w(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -6, -15, -2\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 5*g**2 + 2*g + 7. Let x be v(6). Suppose -2*r = 3*r - x. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.621478cm?\nAnswer: 0.03621478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -27*h**4\/4 - 8*h**3\/3 + 28. What is the third derivative of o(a) wrt a?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 16. Let a be c(12). Let l(w) be the first derivative of w**4\/4 + 4*w**3\/3 + w**2\/2 + 2*w - 1. Give l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 92\/3. Let z = 16 + 4. Suppose 2*j - 6*j = z. Sort -0.2, x, j in decreasing order.\nAnswer: -0.2, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -327*g**2*l**4 - 5*g**2 - 5*g*o**3 + 2*l*o**3 wrt l.\nAnswer: -1308*g**2*l**3 + 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {r: 3, l: 5, z: 2, f: 3, n: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 greater than 1\/937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(3\/(-6)) - 2. Let i(s) be the first derivative of -s**5\/120 + 7*s**4\/24 - s**3\/3 + 1. Let j(l) be the third derivative of i(l). What is j(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1792 = 21*h - 1610. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1674461 is divided by 1674454.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)\/(v\/(v\/((v*v**(-9))\/v))))\/((v\/(v*v*v*v*v**(2\/11)))\/v)**(6\/13))**23 assuming v is positive.\nAnswer: v**(29371\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1650817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -44, -85, -152, -251, -388, -569?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**2 - 3 + 3)*(-w + 1 - 1 + 2).\nAnswer: -6*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13*j - 193. Let x be o(-16). Solve 2*b - x = 4*t - 3*b, -9 = 4*t - 3*b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s - 3 = -3*p, -2*p + 14 = s. Let l = 4 - 8. Suppose 2 = z - 0*z. Which is the second biggest value? (a) z (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 36. Let d = l + 5. Let g = 5.2 + d. Which is greater: 2\/11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 - 412*o + 233398.\nAnswer: 2*(o - 1133)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 123528?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.09, -758, 2\/13, -5, 0.55?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59751504, 119503023, 179254542, 239006061, 298757580, 358509099?\nAnswer: 418260618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**8)**(-2\/9) assuming w is positive.\nAnswer: w**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.633 - 0.333. Let y(j) = j**3 + 2*j**2 + j + 2. Suppose h - 14 + 1 = 3*f, 23 = h - 5*f. Let q be y(h). Sort 3\/2, p, q.\nAnswer: q, p, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705703 = 49*x + 128583 - 592412. List the prime factors of x.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1453, 3134, 4865, 6646, 8477, 10358, 12289?\n\"Answer: 25*m**2 + 1606*m - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317875998?\nAnswer: 2, 13331, 49429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362724 by 3.\nAnswer: -120908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30334 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*a**3 + 31*a**3 + 23*a**3 - 149*a**2.\nAnswer: -a**3 - 149*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2259 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 151 (base 10) to base 11\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-1)\/1)\/(-1). Let b(c) be the third derivative of -c**4\/12 + 13*c**3\/2 - 375*c**2 + 2*c. List the prime factors of b(m).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - 2.1498978?\nAnswer: -44.1498978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (11 - -8 - -6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 266921117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 866 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 954180 and 1539?\nAnswer: 954180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 45 - -30818.4\nAnswer: 30863.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5*f = -367 + 197, -2*f = t - 72 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w**2 - 5*w**2 + 2*w**2 to the form s + z*w + n*w**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -4. Let a = 43 + z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - 3*g**4 + 3*g**4 - g**4 + 3*g**4 + 0*g**4 + (3*g**3 - g**3 + 0*g**3)*(5*g - 8 + 8).\nAnswer: 13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 119*i - 120*i = 19046, 4*t - 76219 = -3*i. What is t rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 11*k - 24*k. Let x = 116 - k. Calculate the highest common divisor of x and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 1904767354.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8797*w**3 + 17598*w**3 - 8789*w**3.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4222*d**2*m**2 - 265*d - 165375*m**2 - m wrt d.\nAnswer: 8444*d*m**2 - 265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3276656240.\nAnswer: 2, 5, 11, 13, 286421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(sqrt(448) + (sqrt(448) - ((sqrt(448) - (sqrt(448) + 2 - sqrt(448))) + 0 + sqrt(448))))*-4*-2*6)**2.\nAnswer: 589824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 29120a (base 14) to base 8\nAnswer: 5336232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.6 - -51.2. Let r = o + -55.8. What is the third biggest value in -20, r, 0.4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71238337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fvffffvfffff.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1508468003, 1508468007, 1508468013, 1508468021, 1508468031?\nAnswer: 1508468043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60482563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, 11\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3028448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 13119101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 + 24*x + 59. Let f(w) = 4*w**2 + 5*w + w + 15 + 0*w - 3*w**2. Let c(y) = 9*f(y) - 2*k(y). Let z be c(8). Solve -q - z = -3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + g - 12 - 45 + 30 = 0, 2*g + 4 = -2*g for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 7*p**2 + 8*p + 4. Let m be t(-8). Let z be (-1 - -8)*(m + -6). Let v be (4\/z)\/(2\/(-28)). Solve 0*o - v*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 134.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 - 22\/((-594)\/171). Solve j*s + 42 = 30 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 0 - 1 - 1. Let h be 1 - (3 - -1) - -7. Suppose -l - h = l. Calculate x(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -283895\nAnswer: 1135580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1837 + 5090 - 3359)*(w + 0*w + 0*w) to the form t*w + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 16*o**2 - o - 13. Let s be k(-16). Sort 5, -25, s in descending order.\nAnswer: 5, s, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from baccvycca. Give prob of sequence caa.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5, -15, 4, -6.\nAnswer: -15, -6, -5, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 316019 = -5*n, -4*s - 126408 = -2*n - 5*s. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + 135?\nAnswer: 13d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/3 + (45\/(-5) - -13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + u**2 + 15*u - 4. Let l be x(4). Let a(t) = t - 14. Calculate a(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 188860*l**3 - l**4 - 191246*l**3 + (l + 2*l - 4*l)*(3*l**3 - 4*l**3 + 3*l**3) - l**4 + l**4 - 2*l**4.\nAnswer: -3*l**4 - 2386*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -238.4394 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 8. Let x be k(7). Let l = x + 5. Which is the biggest value? (a) 0.4 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:24 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/4 + 3*p**3 - 23*p**2\/2 - 10*p + 130. Determine c(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -1, 5 in ascending order.\nAnswer: -4, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 100 = -14*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11220931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = -833*y - 1757 - 61 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 88 = -z, 5 = 3*j - 4*z + 4. Which is the nearest to 2\/3? (a) -1\/3 (b) 0.3 (c) -0.02 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2 + 0 + 786*f**2 + 2 - 788*f**2. Let s(z) = -293*z**2. Give l(s(u)).\nAnswer: -171698*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8125876 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**3\/6 + 343*d. Let z(b) = 27*b. What is z(w(j))?\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 318 and 318.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/9873 and -16\/9.\nAnswer: 9873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + sqrt(2))*6*-4*5)**2.\nAnswer: 259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128 times 0.054?\nAnswer: -60.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -329 - -277. Let m = x + 953\/18. What is the common denominator of m and -49\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmo when three letters picked without replacement from {m: 7, r: 1, o: 10}.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 7:19 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*10\/(-25)*((-5191)\/174 + 4).\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 7\/4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336*b + 334*b = -12. Suppose 5*j = 2 + 13. Let r be (-1)\/(j\/b) + 4. Solve 3*i + 3*w + w - 23 = 0, 0 = -r*i - 5*w + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:17 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*v - 12870 = -370*v. What is the remainder when v is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 7*z. Is 23 a factor of m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 1. Suppose u*r - r = 9. Suppose 3*v + 25 = -5*k, -3*k - k + 7 = -r*v. Let l(f) = -f**3 - 2*f**2 - f. Give l(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -531.982?\nAnswer: -26.5991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minus 213.5645?\nAnswer: -40.5645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.6 + -1.6. Let o be (-2)\/7 + 219\/(-532). Let g = -1\/19 + o. Which is the second biggest value? (a) 3\/5 (b) n (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.123 + 0.877. Let o = 3 - 3.02. Let k = o + -0.18. Which is the nearest to q? (a) 4 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 0*j**3 - 5*j**2 + j**3 + 4 - 3*j - 2*j**3 + 0*j**3. Suppose 3*p = 3 - 15. Give b(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - (-5)\/(15\/9). What is the remainder when 45\/l*16\/(-6) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50141 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppppzpppzpp?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 580066944 by 48338912.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3537.093mg?\nAnswer: 3537093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2430 + -4?\nAnswer: -2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5 (c) -778 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 9:54 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 260 = -5*s, -149 = -4*n - 3*s + 38. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 276 - 2?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 115 (c) 2 (d) -2 (e) -30\/3893\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*x + 80*x - 5. Let q = -1 + 1.2. Which is the nearest to -3? (a) x (b) q (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**2 - 12*z - 2. Let l(m) = 6*m**2 + 11*m + 1. Let b(h) = 5*f(h) + 6*l(h). Let p be b(-7). Let d be p + (-3 - (-1 + 0)). Is d <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -570889 at most -570891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**3 + 476760*j**2 - 11256007425*j - 5208963118430 = 0.\nAnswer: -454, 47903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 131, -3\/16 in increasing order.\nAnswer: -3\/16, 2\/5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 10:26 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:16 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 179279335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -4*x + 32. Let d = x - 20. Suppose 5*l = 10, 2*r + 4*l = 9*l + 70. What is the greatest common factor of r and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*z**2 - 99 - 21*z**2 - 97*z + 199*z - 106*z to n + g*z**2 + v*z and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3759, -3739, -3715, -3687, -3655, -3619, -3579?\nAnswer: -3535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 divided by 44.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*k + 120, -114 = -6*k + k - 4*w. Let i = -9 + k. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118684927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = m - 5*d - 28, -5*d + 10 = m. Is 45 a factor of (30\/m)\/((-8)\/1732)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01321392 + -24.41502392. Let p = 24.4 + y. Round p to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 686, 713, 766, 857, 998, 1201, 1478?\nAnswer: 1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 8*i - 1. Suppose -s + 8 = -3*s. What is the tens digit of r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-3)\/((-7)\/(84\/(-18))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879584 is divided by 175?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*m + 55*m - 1444 = -163 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 488, 942, 1398, 1856, 2316?\n\"Answer: h**2 + 451*h + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 8 = 0. Let t be ((-54)\/12 - -4)*-4. Solve 2*q + t*z + z = 16, v = z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 251*o - 791. Calculate y(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38904746 rounded to two dps?\nAnswer: -1.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 12. Let b be h(-10). Solve 4*q = -4*l - b, -q + 5*q = 3*l - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -132. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -406*f + 8791. What is x(22)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 r when four letters picked without replacement from lrrllr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 0*j - j)*(6*j - 3*j - j) + (2*j - j - 3*j)*(-7634 + 7634 - 6*j) to the form r + u*j**2 + w*j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311317 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1930 - -1683.8. Let r = b + 246. What is the nearest to -2 in r, 0.1, -3, -3\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0123 - 0.094. Let v = -0.08611 - k. What is v rounded to 4 decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161 - 59. Let k = h - 98. Suppose -k*f + 47961 = 2761. Round f to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20614 is divided by 43.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z**2 - 23*z**2 + 48*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255152056.\nAnswer: 2, 31894007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by 27043.\nAnswer: 59\/27043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 - b + 2. Let p be w(2). Is -5 - (-2 - 2148 - p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2407 - 2372. What is the smallest common multiple of 196 and r?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 48*c - 150. Let f be w(51). Solve -f*j = 3*s - 2*s - 17, 20 = 5*j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -761 (b) 3\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 782446 or 782452?\nAnswer: 782452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -29*f**2 - 40. Let n(y) = 5*y**2. Calculate t(n(m)).\nAnswer: -725*m**4 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3564715583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b (base 15) to base 4.\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2139 = -4*q, 0 = 3*n + 8*q - 5*q - 1281. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.3, -15, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 26122031.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 114*u - 3. Let f(g) = 16*g. Determine f(j(i)).\nAnswer: 1824*i - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 712\/639431?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 + 201. Let l(g) = 2*g**3 - 11*g**2 + 9*g - 6. Let i be l(5). What is the greatest common factor of i and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*d**2 + 4*d - 308*d**2 - 8*d.\nAnswer: -253*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from iiijihiiiiiiibj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 - 3b4d?\nAnswer: -3b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 11725\/4269?\nAnswer: 11725\/4269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bb (base 12) to base 6.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 - 3 = 0. Let o(i) = -u - 3*i + 0*i + 4*i - 2*i. What is the units digit of o(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3137?\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 10*b = 399. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -68. Solve -m = 4*b - 0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 13 = -2. Suppose w*p + 2 = 12, -5*j + 5*p - 25 = 0. Sort 1, 7, j in increasing order.\nAnswer: j, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 80783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/61))\/(d\/d**3))**(1\/10) assuming d is positive.\nAnswer: d**(181\/610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 13*r**2 - 10*r - 14. Let d be i(12). Suppose -h - 2*a - d = 0, 2*h - 5*a = -h + 25. Suppose h = 8*l - l - 14. Solve l = t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 8 = 80 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36564?\nAnswer: 2, 3, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 684, 3603, 10080, 21435, 38988?\n\"Answer: 220*m**3 + 459*m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49891888 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, h: 2, t: 3, y: 2}. What is prob of picking 1 y, 1 z, 1 h, and 1 t?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8856295, -8856279, -8856263, -8856247, -8856231?\n\"Answer: 16*h - 8856311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c + 7. Let d be u(10). Let a = d + -4. Suppose 0 = -5*q - j + a, 0 = -5*q + 2*j - 4*j + 21. Solve -4*n - 12 = 0, -4*r - q*n = -r + 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)\/y*y)\/y**(2\/25))**(-30\/11) assuming y is positive.\nAnswer: y**(762\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 44157995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-3)\/(-18)*52\/91.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 135556860.\nAnswer: 135556859.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6) + (47 - 29 - (-2 - -1 - -30))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -26, -50, -84, -128, -182?\n\"Answer: -5*h**2 + h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + (-5)\/(-1))\/(21\/385). Let p = -17 + t. Let x = p - 39. Which is greater: x or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2672608697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1650 + 146?\nAnswer: -1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.2. Let q = h - 0.1. Let l = q + 1.2. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32142894*o**2 + 2425*o + 4867?\nAnswer: 64285788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1.1. Let t = -22\/1251 - 268021\/6255. Let j = -43 - t. What is the second smallest value in x, j, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.57 - 33.57. Let c = -0.9114 - -2.9114. What is the second biggest value in g, 3, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8307328?\nAnswer: 2, 64901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/21 + (-6)\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**3 + 8*k. Let z(s) = -3*s**3 - 661 - s**2 + 661 - 6*s. Let y(n) = 2*x(n) + 3*z(n). Factor y(o).\nAnswer: -o*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) -1.5 (c) 3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 <= 850\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Suppose s = 4*i + i. Let m(x) = -4*x**2 - 4*x + 14. Let y(o) = 3*o**2 + 3*o - 13. Let j(a) = 4*m(a) + 5*y(a). What is j(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(40)\/sqrt(8)*-4)**2 - sqrt(45)\/((1*sqrt(45))\/sqrt(5)).\nAnswer: -sqrt(5) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27089.6586 rounded to the nearest one hundred?\nAnswer: -27100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 31*t**2 + 387*t + 17. Let u(c) = 11*c**2 + 129*c + 6. What is 6*b(q) - 17*u(q)?\nAnswer: -q**2 + 129*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59846 is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/5 - 0) + (49 - 50)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2714825 is divided by 339346?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/5, -0.64, 5, -0.4, -1, -79051?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 379925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 19*t**2 - 84*t + 1276. What is f(20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -889, -7460, -25353, -60214, -117689?\nAnswer: -203424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751954966 is divided by 250651655.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55555 is divided by 849.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 2*a)*(3 - 3 + 3) - 17*a - 41*a + 15*a + 3 + a - 3.\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*s = 3, 7*h - 3*h = -3*s + 34. Suppose 2354 = 18*y - h*y. What are the prime factors of y?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054388861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -92, -123, -134, -119, -72, 13?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**5\/60 - 5*h**4\/4 - 75*h**3\/2 + 30*h**2. Determine d so that a(d) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28a67 (base 16) to base 7.\nAnswer: 1262301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -92*(-12)\/(-28) + 6\/14. Let m = c + 44. Suppose m*g - 1594 = 1191. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*s - 20 = 0, 5*t + 5*s + 16 = -9. Let l be (0 - t) + (-5)\/(-1). Let w(u) = u**2 - 3*u. Let h(y) = -y. Determine l*h(o) - 2*w(o).\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13349 greater than 13389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f - 8*f - 2*f**2 + 2*f. Let d be v(-5). Let z be 5*(32\/d)\/2. What is z rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 89, -1003\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5861 + 0.2.\nAnswer: -5860.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/(-165) + (-375)\/(-33). Solve g*q - 758 + 802 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 - -4.4?\nAnswer: -345.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 24*v - 11. Let s(p) = 3*p**2 - 36*p + 17. Let x(c) = -5*c**2 - 4*c + 7. Let z be x(-2). Let q(b) = z*s(b) - 8*g(b). Calculate q(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 (base 5) in base 7?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 924.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54\/4*(-16)\/12. Let x(s) = s**2 - 25*s + 21. Let c be x(r). Let h = c + -376. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.5, -3\/7, 4\/4879217, -5, -2?\nAnswer: 4\/4879217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -634*c**2*j**2*w**3 - 2*c**2*j*w**2 - 26*c**2*j*w - c**2*w**3 + 254*c*j**2*w**3 + c*j*w**3 + 25*j*w**2 + 3*j wrt j.\nAnswer: -1268*c**2*w**3 + 508*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -23\/2*d**2 - 1\/2*d**3 + 44*d + 130 = 0.\nAnswer: -26, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4419182*f*x**3 - 18743*x**3 - 222*x**2 wrt f?\nAnswer: 4419182*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37260 divided by -12420?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 15 = -1202*d + 1199*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116 + 117 - 190 - 2*p)*(7*p**3 - 4*p**3 - p**3).\nAnswer: -4*p**4 + 86*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 + 322*s - 322. Let q(i) = -19*i**2 - 969*i + 967. Let d(z) = -7*b(z) - 2*q(z). Solve d(m) = 0.\nAnswer: -80, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21004 divided by -771?\nAnswer: 21004\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -11*s**3\/6 + 747*s + 3. Let n(t) = -422*t**2. Determine n(u(l)).\nAnswer: -51062*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/22 and -71\/50842.\nAnswer: 50842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from ggvgyggtvgahgaaagvvg.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.848 + -7.826. What is j rounded to 1 decimal place?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/432 and 89\/5503734.\nAnswer: 44029872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -58, -125, -230, -379, -578?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3000*u - 46807. What is x(16)?\nAnswer: 1193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 4cc8?\nAnswer: -4cd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1297, -882, -4515, -9596, -16119, -24078?\nAnswer: -33467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*45\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 - (-4 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 216?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -9892, -385 in increasing order.\nAnswer: -9892, -385, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002548493024 to 5 decimal places.\nAnswer: -0.00255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + i + 1. Let v(k) = -k**3 + 5*k**2 - k - 8. Let w(d) = -2*h(d) - v(d). Let z be 1*(-3)\/3*-3. What are the prime factors of w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 102?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/733 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 5. Let x be u(-7). Let h(s) = -3*s**3 - 2*s**2 - 4. Calculate the remainder when h(x) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 48 = -22. Suppose -7 = -2*w + s. Suppose 8*q - 492 = 2*q. What is the remainder when q is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414746.9 millilitres to litres.\nAnswer: 414.7469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k - 6*k + 8*k. Let h(j) = 2*j + 40. Let u be h(0). Let v(q) = -45*q**2 - u*q**2 + 84*q**2. Determine v(f(t)).\nAnswer: -49*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.0342 (b) 44 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, e: 5, f: 1, g: 2}. What is prob of sequence ee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/150 + (-92)\/30 + (-2)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53722 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1.8. Let v = 190 - 190.81. Let z = 0.19 - v. Which is the closest to z? (a) -2 (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*y - 9 - 29, -4*q - 3*y = -33. Let a be (-3)\/q + 22\/(-8). Is 15 a factor of (-2)\/(-3)*a - -47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13.41 milliseconds?\nAnswer: 0.000003725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + 1 - (3 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12233 + 6445?\nAnswer: -2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 121, 242, 349, 436, 497, 526, 517, 464?\n\"Answer: -m**3 - m**2 + 131*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/6 + 13*g**4\/6 + 31*g**3\/3 + 67*g**2\/3 + 43*g\/2 + 15\/2 = 0. Calculate g.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026*d = -1022*d - 2*g + 8, 23*d + 25 = g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1847 + 1862.49. Let b = o + -106.19. Let s = b - -97. What is s rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/9380 and 89\/126?\nAnswer: 84420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 1:39 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*(((-115)\/10)\/23)\/(-11).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 1. Suppose -2*s - s + 11 = -y, -36 = -4*s - 4*y. Suppose -d = -2*n - 9, -4*d = n - 12 + 3. Let i(x) = -x. Determine n*p(o) + s*i(o).\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -239309886*h**3 - 562*h**2 - 16492*h wrt h.\nAnswer: -1435859316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*j + 9 - 3 - 1 - 174*j + 355*j - 1 - 2.\nAnswer: -8*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.06 - -20.65. Let f = 265.29 + -264. Let n = w - f. What is the closest to 1 in 0, n, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -4) + (-1 - 4). What are the prime factors of (-3 - x)*4 + 6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/5)*o)*o**(-3))\/(o**(2\/5))**(1\/30) assuming o is positive.\nAnswer: o**(-196\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-10))\/((45\/32)\/(360\/288)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*a - 988 = -5*c + 126*a, -4*a = -c + 204. Let z be 21\/14*c\/6. Put 1, 2, z, 3 in descending order.\nAnswer: z, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -p - 4*c, 1245*p + 28 = 1243*p + 4*c for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12716)\/(-10) + (-618)\/(-1545) is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(1216).\nAnswer: -2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/3 and (-6)\/18 - (-64)\/(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1209*n**3 + 7*n**2 - 3*n + 7. Let o be a(11). What is o rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uup when three letters picked without replacement from {p: 15, u: 4}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**5 - 6*k**3 + 5*k - 6. Let n(r) = -11*r**5 + 17*r**3 - 15*r + 17. Let o(d) = 17*m(d) + 6*n(d). What is the second derivative of o(q) wrt q?\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 17*t**2 + t + 216. Let r be z(18). Which is smaller: -88 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 40*u**2 - 681*u - 7283. Determine l(-14).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 5*c - 3. Let t be (5\/(-10)*22)\/(-1). What are the prime factors of x(t)?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137149201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/1*(140\/(-14) - -11). Differentiate 14539 + y*a + 139*a - 14743 wrt a.\nAnswer: 139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + u = 0, -3*d = 2*u - 7*u. Suppose h = -3*k + 4, d = 5*k - k + 16. What is the greatest common factor of 128 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11835084461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/4)\/(2\/(-8)). Let d = 1 - q. Solve -6 = -d*x - 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 27, 76, 155, 270, 427, 632, 891?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 - 19*c + 6. Let n(k) = 2*k**2 - 14*k + 6. Let v(m) = m. Let g(b) = -n(b) + 4*v(b). Let i(f) = 4*g(f) + 5*q(f). Factor i(j).\nAnswer: (j - 3)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*t - 25, 0 = -5*c + 5*t - 4*t + 1. Is 3\/9*c*111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341460 and 59220?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 207344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*y + 146 + 550. Solve 8*r + 8 + y = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/(4\/18). Let y be 5 + -1 + -1 + q. Suppose -l = 3*z - 72, -2*z + y*z + 3*l = 101. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4845 = -3*a, 0*b + 4*b + 3200 = 2*a. Suppose a = 207*l - 202*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cleeccee. Give prob of picking 1 c and 1 l.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91388*g**3 + 18*g + 130?\nAnswer: -548328*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 37 + 4 = 0. Let d(i) = -s - 1 + 5 - 3*i. Calculate d(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5\/2 + 13095*u**4\/2 + 208413*u**3 + 1859577*u**2 + 6240195*u\/2 + 2924775\/2 = 0. Calculate u.\nAnswer: -4333, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5669100 rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {t: 1, k: 1, y: 1, f: 2, n: 2, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 2*q**7\/7 + 2*q**3\/3 + 6. Find the third derivative of f(m) wrt m.\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/1355309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)*-1)\/(1*sqrt(112)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 - 1238*f - 14568 = 0. What is f?\nAnswer: -607, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2888*q**2\/5 + 22344*q\/5 + 43218\/5.\nAnswer: 2*(38*q + 147)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 110 - -60?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 - v. Let g(c) = c**2 + 8*c - 10. Let r be g(-9). Let d be f(r). Suppose 4*y = 2*y + d. Solve -2*s = -6*s + y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404253 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -38*q - 106. Let k be l(-5). Calculate the highest common divisor of 48 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + -9?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from adviddddidadii?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32540 is divided by 288?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 9*l - u = -2*u - 52, 3408*l - 11 = 6826*l - 3413*l - u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -65 + a?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -24*x - 234. Let l(j) = -29*j - 235. Give 6*d(h) - 5*l(h).\nAnswer: h - 229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*l - 5628 + 1076 - 2744 = 0 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -30*w**2. Let a(c) be the first derivative of 2*c**3 + 2804 + c**3 - 2748 + 0*c**3 - 2*c**3. Calculate v(a(t)).\nAnswer: -270*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 332210 (base 4) in base 10?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-8)*48\/18. Suppose 2*f - n = -m*n + 50, -100 = -4*f - 3*n. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/(4\/(-36 + -4)). Suppose z*q - 4*l = 6789, -6*q = -4*q - 5*l - 2702. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1186\/170957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(114)\/sqrt(6) + sqrt(19) + 5)**2.\nAnswer: -30*sqrt(19) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 4, 3, 11\/29, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, d: 2, y: 1, m: 5, u: 6}. What is prob of sequence mmu?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130 + 100. Is o greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 452\/7*o - 2\/7*o**2 + 454\/7 = 0?\nAnswer: -1, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1329 - 1333. Let w(u) = 4*u**3 + 3*u + 3. Let h(c) = -3*c**3 - 3*c - 2. What is r*w(j) - 5*h(j)?\nAnswer: -j**3 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(1*(11 + 3\/(24\/(-80)))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x. Let b(j) = -16*j + 5. Let y(m) = 18*m. Let a(v) = -3*b(v) - 3*y(v). Calculate a(o(n)).\nAnswer: 36*n - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:55 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 + -72. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 2*n**3 - n**2 + 3*n - 83. Let x be t(2). Calculate the greatest common factor of 115 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(2*(-4*sqrt(320) + sqrt(320) - sqrt(20) - sqrt(20))\/sqrt(10) + 1)*-2)**2.\nAnswer: -56484 + 2016*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (19 - 7) - -25.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 15\/4 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 8 = -17*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3308.\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1839471 times -96\nAnswer: 176589216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 55760 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6262.6 - -6263. Which is the second biggest value? (a) -5 (b) v (c) 7 (d) -3\/7 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*b - 782 = 0, -5*b + 2*b = -3*a + 783. Find the common denominator of -1 - a*2\/(-420) and -13\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-401*s**4 + 634*s**4 + 9*s**2 - 240*s**4 - 7*s**3)*(1 + 1 - 1).\nAnswer: -7*s**4 - 7*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 59 + 73. Suppose -j - 18*o + q*o + 1158 = 0, 2*o = -2. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e3 - -7?\nAnswer: ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -526597, -4212701, -14217837, -33701521, -65823269, -113742597?\nAnswer: -180619021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11 - 2*j + 16 + 0*j - 6. Calculate the remainder when h(-7) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18+3730753501\nAnswer: 3730753519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/11 + 3456\/(-110). Let r = h + 32. Which is the closest to -1? (a) 0.1 (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 9:24 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2565\/7 - 367. Let v = 682 - 683. Which is the nearest to -0.2? (a) v (b) 1\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -2 (c) 0.7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/298021 in -2, -15, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 0*y = -y + 13, -5*z + 26 = -2*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.25 - 21.45. Which is the second biggest value? (a) f (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -4, -1\/2639, -0.5, 1\/6.\nAnswer: -4, -0.5, -0.18, -1\/2639, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - (27 + -157)) + -21 + 0.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 1)*(-86965 + 86961 - 42*q - 152*q) to d + a*q and give a.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose -4*i + 44 = -4*z, 6*z + 18 = r*i + 2*z. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 2*u**2 - 4*u - 3. Suppose -6*i + 3*i = 9. Let j be q(i). Solve 3*n + 3*z + 2*z - 7 = j, 3*n - 14 = 2*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121809246 - -121808833.998652. Let z = 412 + w. What is z rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 8*h - 4. Let s be y(-8). Let x(z) = 2*z**3 + 6*z**2 + 2*z - 1. Let w(r) = r**3 + r**2 - r + 1. Let q(k) = -w(k) + x(k). Determine q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + a4?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -52, -75, -106, -151, -216, -307?\n\"Answer: -w**3 + 5*w**2 - 29*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*c**2 - 2*c - 57*c**2 + 4*c - 115*c**2.\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 126, 139, 156, 177?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 28. Solve -3*g = -o + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3990*w**3 + 20*w**2 + 36*w - 1805. Let u(j) = 7979*j**3 - 38*j**2 - 68*j + 3610. Let y(d) = -17*k(d) - 9*u(d). What is the derivative of y(b) wrt b?\nAnswer: -11943*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*j**6 - 23*f**3 - 6*f**2*j**2 - 127*j**5 wrt j?\nAnswer: 240*f**3*j**3 - 7620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79853540 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + -2. Let q = 4 + l. Which is the smallest value? (a) 0 (b) q (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1076, -1954, -2440, -2342, -1468, 374?\n\"Answer: 32*p**3 + 4*p**2 - 1114*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60*g**4 + 12*g**3 - 440 wrt g?\nAnswer: 240*g**3 + 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 4:05 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a + 0?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4934*y**3 + 5 - 5 + 40355*y**3.\nAnswer: 45289*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/10)\/(206\/6901).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 6*z. Suppose 2*l + a = -z*l + 85, 5*l - a - 209 = 0. Calculate the highest common factor of l and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40, -33, -26, -19?\n\"Answer: 7*h - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*p**5 - 14*p**5 - 10*p**5 - 5*p**2 wrt p.\nAnswer: -1440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v**3 - 3*v**3 - v**3)*(-5 + 4 + 2 + (-5 + 2 + 1)*(-1 - 2 + 2) - 4 - 1 + 6).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1762 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39248 - 274*g + 39248 + 7*g + g - g + (0 + 0 - g)*(-2 + 1 + 2) + 1 - g - 1.\nAnswer: -269*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 16*w + 4. Let l be s(16). Suppose -l*q - 4*n + 8*n + 36 = 0, 0 = 3*n + 9. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549, -2332, -5687, -10926, -18361, -28304?\nAnswer: -41067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n = 38 + 154 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnji when four letters picked without replacement from {m: 1, j: 4, n: 6, g: 1, i: 3, l: 1}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least as big as -3029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z**(-1\/14)*z*z)*z*z**(-3\/8)*z*(z\/(z\/((z*z\/(z**(1\/4)*z)*z*z)\/z)))**(-29))**11)**(3\/7) assuming z is positive.\nAnswer: z**(-90651\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4887*q + 53987. Give y(-11).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.1, 0, -1, -508?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1420523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o. Suppose -45 + 0 = -3*c. Let b(m) = -m - 15 + c. What is b(w(r))?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 0.40432209809?\nAnswer: 0.50432209809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (14110\/5 + 1)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 4, -4 in decreasing order.\nAnswer: 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2 + 4*m - 41*m**2 + 3.\nAnswer: -41*m**2 + 4*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -354, -954, -1838?\nAnswer: -3006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -44306?\nAnswer: -44302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 520 and 390.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 8*x - 36. Let a be v(4). Suppose 20*f - a*f = 8824. What are the prime factors of f?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.35, -0.3, 7, 3.3, 0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5880 is divided by 137?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.222 and -0.03.\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 11*b - 30 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354 - 243 + 597 + 142*x.\nAnswer: 142*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -992460 rounded to the nearest 1000?\nAnswer: -992000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -12. What is the second derivative of 7*t**5 + 15*t - 10*t - t**3 + t**q wrt t?\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -737.\nAnswer: -294.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 + 3*q + 1. Let g be t(-4). Suppose -9*l - 15*l + 4384 + 5792 = 0. What is the highest common factor of g and l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3963 - 5.4. What is l rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*c - 2. Solve -c*k + 12 = -8*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 19*v + 135. Is u(-19) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 411*n + 509*n**3 + 152*n - 51*n**3 - 49*n - 77*n wrt n.\nAnswer: 2748*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -5, 5, 0, -2 in ascending order.\nAnswer: -5, -2, 0, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 114. Let t = c + -54. Determine r so that r + 4*r**3 - 9*r - 2*r**3 + 0*r**t = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + (-29 - 63 - -60).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6) + 2)*(-27 - -15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u - 57. Let t be z(20). Let x = 112 - t. Which is greater: x or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002457 rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10*p. Let w(i) = -27065579*i. Determine w(q(a)).\nAnswer: 270655790*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1588)\/(-2779)*(-7)\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -384, -1597, -3614, -6435, -10060, -14489?\nAnswer: -19722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Suppose -2 = z*t - 4*s, -4 = 2*t - 4*t + s. Solve -5*w + m - 4*m - 2 = 0, 3*w + t*m = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5497 in -0.4, 0.4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 24 = 3*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2255381790 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32113*(-28)\/((-154)\/11)?\nAnswer: 2, 17, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 27465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161179524 by 9284.\nAnswer: -17361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295 = 74*c - 584 - 897 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5664.9995 - -5665. Which is the closest to -0.3? (a) j (b) 0.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rppvoopp. Give prob of sequence ov.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1854 and 38112.\nAnswer: 11776608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31837307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 296216 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, -120, -544, -1380, -2766?\nAnswer: -4840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5244672071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05405 and -0.9.\nAnswer: -0.84595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**(-1)*w)\/w))**(-4\/17)\/((w\/(w\/(w**(4\/9)\/w)))\/(w**(-1\/3)*w)) assuming w is positive.\nAnswer: w**(115\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Let n(k) = 2*k**2 + 2*k + 1. Let w be n(-1). Let a(d) = d - 1 + w + 2*d. What is a(f(g))?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 29. Calculate the lowest common multiple of 2 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 5*k - 3. Suppose 0 = 5*n, 0 = 2*d + 2*d + n + 16. Let p be l(d). Let q = 2 + p. What is the remainder when 8 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 36*x + 32*x + 20 = 0, -5*x = -20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 62*o**2 - 1903*o + 5724. Determine m(3).\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 5*r = -3, -r = -4*z + 13. Calculate the smallest common multiple of 38 and z.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/2*(8\/(-12))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 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 the remainder when 1338047 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/3)\/((-5)\/30). Let i be (9\/(-6))\/(3\/t). What is the units digit of (i\/6)\/((-4)\/66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7666248kg?\nAnswer: 766624800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853135?\nAnswer: 5, 170627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.5 - -4.5. Let r be ((-4)\/4 - -4) + -13 + 17. What is the closest to -3 in p, r, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2. Let m(q) = -769*q - 3. What is d(m(k))?\nAnswer: 591361*k**2 + 4614*k + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8100717 - -2324.5559\nAnswer: -8098392.4441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:22 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1896534*c**2 - 1035225 wrt c.\nAnswer: -3793068*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 102*n**2 + 940*n - 2400.\nAnswer: 2*(n - 40)*(n - 6)*(n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1950802 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4456133820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4 - 3 + 0 + x. Let o = -13 - -19. Let d = o - 1. Calculate h(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*g - 50, 5*g - 12 = 5*o - 262. Let y = 50 - o. Which is the nearest to 0? (a) y (b) -2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35 (b) 2 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 532 and 12.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y**2 + 21*y + 6. Let o be g(-4). Let p = o - 68. Let i(b) = -7*b + 1. Give i(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 11*p**2 + 664*p - 93019. Let f(w) = 31*w**2 + 1983*w - 279058. Let k(z) = -17*c(z) + 6*f(z). Factor k(x).\nAnswer: -(x - 305)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40\/7*z**2 + 2\/7*z**3 + 102\/7*z + 0.\nAnswer: 2*z*(z + 3)*(z + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Let m = k - 2. Suppose -34*v + 8 = -30*v. What is the remainder when v is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = -14*j + 38*j + 168 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - 6. Let b be 2\/(-7) + (-111)\/i. Solve 4*z + 2*x + 14 = 0, -3*x + b + 9 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1904510005.\nAnswer: 5, 337, 1130273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -12. Calculate the remainder when 1 is divided by 4 - f*2\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/20 - 2*m**4\/3 - 3*m**3\/2 + 8*m**2 + 2*m. Let h be (-3 - (-2 - 11)) + -2 + 1. What are the prime factors of r(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6517312.\nAnswer: 2, 101833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 78.54194 centuries?\nAnswer: 785.4194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {e: 7, i: 1, y: 1, c: 4}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -o - 3*o + 3*j, o - 3*j = 12. Suppose o = -u + 2. Let l be -1 + (-4)\/24*-10. Which is greater: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3\/9 + 588728*j**2\/9 + 86649575765*j\/9 - 173301506450\/9 = 0?\nAnswer: -294365, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 91*b + 2573. Give i(-34).\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/35)\/2 - (-15336)\/42. Let l = -284 + h. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 698\/3 + -230. Find the common denominator of s and -1\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-200))\/(8\/(-10))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1274957136 plus 1420?\nAnswer: -1274955716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154 - -883. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.3831773 days?\nAnswer: 9.1962552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 1, -3.\nAnswer: -6, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23293 - 23276. Solve -3*v - k = 2*d, 85*d - 5 = 90*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6665514.\nAnswer: 2, 3, 1110919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**1*m))**(4\/21)\/(((m\/m**(-7))\/m)\/m**5) assuming m is positive.\nAnswer: m**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 241, 240, 239, 238?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5039592, -5039604, -5039616, -5039628?\nAnswer: -5039640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/10*860\/(-32336)*-141\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 k when four letters picked without replacement from cmlmmillkimz.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 3. Let b be p(2). Suppose -6*s - 2*v + 90 = -2*s, 4*v - 114 = -b*s. What is the greatest common divisor of 66 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + i + 465, 2*d + 2*d - 455 = -i. What are the prime factors of d?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 9*g + 54. Let p be b(-6). Let f be 252\/(-28)*((-69)\/p - 2). Sort f, 1.6, 0.3 in increasing order.\nAnswer: 0.3, f, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8941539ns in microseconds?\nAnswer: 0.0008941539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 4a?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 33 = -150*o + 151*o, -3*w = 22*o + 51 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/28 and 57\/64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/30)\/((-54516)\/3410 + 16)*-2?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3193 - -3195. Let g(a) = 65*a**2 - 45*a. Let s(b) = 3*b**2 - 2*b. Let l be (64 + 0)\/(8 - 7). Let p = l + -109. Give j*g(y) + p*s(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 4)**2*5*-5.\nAnswer: -4800 - 800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 238*o**6 - 12*o**2 - 3.\nAnswer: 28560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*c + 6743 = 2593 - 1700 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s - 2387*s**2 + 61*s + 2520*s**2 wrt s?\nAnswer: 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**3 + 12730*n**2 + 8089900*n - 16230760 = 0.\nAnswer: -1274, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 536, 566, 614, 680, 764, 866, 986?\nAnswer: 1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3009081 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27634.7 + 27635. What is the nearest to -5\/19 in -4, p, 3\/4, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -25. Suppose 20 = 5*x + u*g, 0*x - x + 5*g = -31. Calculate the greatest common factor of 54 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a**2 - 26*a + 4. Let l be v(-3). Suppose -4 = -4*c, -2*n + 5*c + 20 = 3*n. Sort l, n, -2 in ascending order.\nAnswer: -2, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 128884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738422564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 205.33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/8)\/t*t*t\/(t**0*t)*(t*t**2\/t)**13)\/(((t**1*t)\/t)**(-7)*(t*t*t**(-1\/4))\/(t\/(t*t\/(t\/(t\/t**(3\/8)*t)*t*t)))) assuming t is positive.\nAnswer: t**(127\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99691610*y + 38618509 with respect to y.\nAnswer: 99691610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17806738.\nAnswer: 2, 23, 521, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/9)\/k*k*k)\/(k\/(k*k**(1\/12)*k)) assuming k is positive.\nAnswer: k**(55\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 91*o + 87. Suppose 7*x + 284 = 361. Is t(x) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -40, -8, -52696?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 63194, 0.3 in descending order.\nAnswer: 63194, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 184261971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -1128.47 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1918*l - 326. Let s be p(22). Round s to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m + 1. What is the remainder when 14 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 + (-327913)\/(-7). Suppose -u + 11491 = 122336. Let q = z + u. What is q rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**4\/6 - 4*m**3\/3 + 6*m**2. What is the remainder when 30 is divided by l(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62642?\nAnswer: 2, 31321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 159648 and 5.\nAnswer: 798240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3\/8 + 591*k**2\/8 + 3*k\/8 - 591\/8 = 0. What is k?\nAnswer: -1, 1, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -1.9.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -22*t**2 + 3*t**3 + 53*t + 17 - 2*t**3 + 63*t - 96*t. Let q be f(21). Sort 2\/9, q, -2 in increasing order.\nAnswer: q, -2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -8, 5*k - 3*k = -r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - (sqrt(336) - (sqrt(336) + -1*sqrt(336)) - sqrt(336))\/sqrt(12)) + sqrt(28))\/((sqrt(28) - (sqrt(168)\/sqrt(6) + sqrt(28)))\/sqrt(7)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 17184 = 7*j - 4*q, -4*q = -j + 17216. Round j to the nearest 100.\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8245665 and 9.\nAnswer: 8245665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5616*y = -5633*y + 1828333. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24\/9769 or -1?\nAnswer: 24\/9769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -6*u + 22003 + 25737, -5*f = 5*u - 39790. List the prime factors of u.\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 312190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10415389 and 851?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -335 - 712. Let a = 1784 + s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302609 is divided by 3560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 11:37 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119972798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000290331 rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 539761752 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11870039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-35350 - 17)\/((-51)\/6 + 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 106*u - 5618.\nAnswer: -(u - 106)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 17600?\nAnswer: 52800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-13)\/((-117)\/(-2946)))\/(2\/(-3747)). Suppose 0*o = o - 3*w + 1013259, -2*w + 4053036 = -4*o. Let f = o + r. What is f rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - 124.19. Let y = 122 + q. Which is the biggest value? (a) y (b) 10 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k + 1. Let h be o(-5). Let d(y) = y**2 + 2*y - 4. Let a be d(-4). Suppose -3*s + h = -4*f, 4*s - a*f = -f + 63. 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: Calculate -0.038806792 - 0.44.\nAnswer: -0.478806792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.510692m?\nAnswer: 0.007510692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143924 is divided by 301?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -31\/18 + 397\/126. Find x such that z*x**3 + 18\/7*x - 4\/7 - 24\/7*x**2 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**2 + 11*p - 16. Let m(i) = -7*i**2 - 14*i + 18. Give 5*m(l) + 6*o(l).\nAnswer: l**2 - 4*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*j**2 - 89*j**2 + 47*j**2 - 32*j**3 + 152*j wrt j?\nAnswer: -192*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*b = -9, -3 = j - 3*b + 4. Suppose -4*s = s + 3*q + 15, -5*q + 13 = j*s. Let f = s + 10. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 3671. Let x(y) = 2*y. Determine b(x(j)).\nAnswer: 8*j**2 - 3671","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o - 10. Suppose 7*t = 8*t + 3. Let v be s(t). Let a be 1 + -3 + (11 - v\/5). Solve -a*j + 3 + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 30, 25, 6, -33, -98, -195?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -54*n - 21. Let j be h(-9). Suppose -j = 4*y - 1969. What is the lowest common multiple of 4 and y?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2486, -4951, -7408, -9857?\nAnswer: -12298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3938*b - 1136 - 532 - 1380 - 1148 with respect to b.\nAnswer: -3938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -55. Let r = p - 16. Is r at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2*((-120)\/(-112) - 1)*219\/(-15) and -10\/791.\nAnswer: 3955","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108647, -108669, -108715, -108797, -108927, -109117, -109379?\nAnswer: -109725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from vviviiviivivi?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2)\/b)\/b*(b\/b**(-3))\/b*b**(-2)*b\/((b*b**(-1\/5)*b)\/b) assuming b is positive.\nAnswer: b**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54086.2473 - 54082. Round v to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 + 6*z - 3. Let b be h(4). Let v = b + -29. Suppose m - v = -m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -247 - -2187. Suppose -71*l + 76*l - t = 0. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 6*n**2 + 11*n - 26. Let v be k(7). Sort -2, -6, v in descending order.\nAnswer: v, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1575*z**2 + 1575*z**2 + 3*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -c + 2*c. Suppose -2*a + 3*a = c. Let t = a - 65. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 68*l**2 + 524*l - 24. Give r(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + h**2 + h. Let x be c(0). Suppose -2*d = -x*d + 6, 2*r - 5*d - 411 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -996, -4318, -10146, -18480, -29320, -42666?\nAnswer: -58518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -4 (c) 0.3 (d) -0.1 (e) 0.4 (f) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 8*a + 25. Let l be v(-7). Solve -16 = -10*j + l*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 1, a: 2, r: 1, k: 1}. What is prob of sequence ak?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) 0.3 (c) 1\/7 (d) -3\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7275)\/(-1425) - (4 + 1)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34)\/(-3) + 4\/6. Let v(c) = -c**2 + 12*c - 12. Let f be v(10). Let o = b - f. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 111030?\nAnswer: 111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/12)\/((-27)\/(-36)). Let w be (-2)\/28 + 1\/(-2). Which is the nearest to d? (a) 3 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 at least 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27021, -108075, -243165, -432291, -675453, -972651, -1323885?\nAnswer: -1729155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 618246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 19*g = 18*g + 2662, 5*g = -4*f + 5318. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 207 = 3*y. Suppose 3*g = 603 - y. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8465 + -355693\/42. Find the common denominator of -32\/27 and m.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l - 18. Suppose -16*s = 6 - 86. Is u(s) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306312 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2))\/1*-2. Is l less than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 354*d + 2454. What is the ten thousands digit of c(62)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 266 from 3.309339.\nAnswer: -262.690661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3304538?\nAnswer: 2, 31, 53299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*c - 385 = -664*c for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0094179595 rounded to 6 dps?\nAnswer: -0.009418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 8*q + 5. Let m be o(8). Let f(w) = 7*w - 7. Let u(g) be the second derivative of -2*g**3\/3 + 2*g**2 + 3*g. What is m*u(z) + 3*f(z)?\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 4:31 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -36*v + 724. Let s be m(20). Solve -s*y = 4*x + 22 + 14, 0 = -3*y - 2*x - 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/33 + 8900\/6. Suppose -3*x = 5*h - u, -x = -h - h + 602. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2858b38 + 9?\nAnswer: -2858b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -385*l**2 + 4*l**5 - 12*l**3 + 4*l**3 - 12*l**5 + 7*l**5 - 475*l**2 wrt l?\nAnswer: -60*l**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -356.0262 - -0.9462. Round n to zero decimal places.\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.267 + 309?\nAnswer: 309.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2 - 8214*s - 5622483 = 0. Calculate s.\nAnswer: -1369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22881206 is divided by 162278.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 343633 by -3041.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + (sqrt(40) - (sqrt(440)*-2)\/sqrt(11)))\/((sqrt(8) - -2*sqrt(40)\/sqrt(5)) + sqrt(8)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/5, -4, 0.5, 67?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*d - 12 = 4*k, -3*d + 26 = -5*k. Suppose 23 + d = 5*x. What is the remainder when x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7153*x**2 + 3*x - 4*x + 7081*x**2 - 3*x**4 + (-2*x + 4*x + 0*x)*(-x**3 - 4*x**3 + 3*x**3) to the form z*x**4 + f*x**3 + n*x**2 + h + t*x and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/424800 + 12325217\/2556021600. Calculate the common denominator of 131\/3282 and c.\nAnswer: 36102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 837 + -817. Suppose -6732 = 14*a - u*a. What are the prime factors of a?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -34144033?\nAnswer: 34144043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/5 (b) 3\/2 (c) -1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 193?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tomccfd. What is prob of sequence domc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -23*z - 60. Suppose z*w - w - 4068 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8810354 is divided by 465.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 28, 19, -14, -77, -176?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-82)\/(-7) - 6\/(-21). Suppose 3*h = 3*z - 33, 0 = 5*h - 10*h - 3*z - 95. Let n be 2 - (u\/h - -2). Which is the smallest value? (a) -5 (b) 2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*q + 8. Let b be q\/3*30\/(-20). Sort -1, 4, 1, b in ascending order.\nAnswer: b, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -19. Suppose 0 = 4*t - t - j. Solve i = t*p - 11, 5*p - i - 28 = -11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 1\/5, 4, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.14 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 + 49*l - 173. Let s be h(5). Let u(x) = 11*x + 16. Calculate u(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/3))**(-6\/5)\/(s*s\/s**(1\/8)*s\/(s*s\/(s*(s\/(s*s*s**(-1\/4))*s)\/s)*s))*((s**(-4\/3))**(-12\/5))**(-8) assuming s is positive.\nAnswer: s**(-209\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11*v**2 - 9 + v + 14 - 4. Let n(j) = -j**3 - 9*j**2 - 7*j + 7. Let x be n(-8). What is h(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8461 by -36758.\nAnswer: -8461\/36758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 24 = 5*l, -2*b + 18*l + 21*l = 44*l + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -461*t**2 - 12*t - 22 wrt t.\nAnswer: -922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32 + ((-1962)\/(-40))\/((-22931)\/14955)\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -11*h + 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 1049\/67, -4, 2\/7, 19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 9*y + 2*y. Suppose 7*l = y*l - 4*w + 86, 5*w = 3*l - 59. What is the highest common divisor of 24 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -70. Solve -w = -3*m - 0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 633041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*z - 5*o + 16, 4*o = 4*z + 40 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -3373.\nAnswer: 3373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4*a + 138 = 75*s - 5*a - 22, 7*s - 3*a = 29 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1528107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2 - (0 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(2) - sqrt(21))\/sqrt(7) + sqrt(3) + sqrt(6)\/sqrt(2) + -1 - (((sqrt(24)\/sqrt(8))**2 + -3)*1 + 1).\nAnswer: -2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kspxzxskszksszp. What is prob of sequence sk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*i**4 - 4*i - 43*i**4 + 2*i**3 - 2*i**2 + 84*i**4 as g*i + c*i**2 + l*i**3 + w*i**4 + j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 + 8953*c**3\/2 - 13433*c**2 + 8956*c.\nAnswer: c*(c - 2)*(c - 1)*(c + 8956)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 4*s + 3. Let t be y(3). Suppose 5*l + 3 - 98 = t. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let i(w) be the second derivative of 6*w**3 + 50*w**2 - 2269*w. Calculate i(k(t)).\nAnswer: 36*t + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 44021523 * -4\nAnswer: -176086092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391, 1521, 3395, 6013?\nAnswer: 9375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (sqrt(300)*4)**2 + ((sqrt(300) - (sqrt(300) + -4 + sqrt(300))) + sqrt(300))**2 + 5).\nAnswer: -19272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 6*k - 40 + 0*k**2 + 25\/2*k**4 + 0*k**3. Differentiate d(h) with respect to h.\nAnswer: 150*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 9844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 4355565?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/78*(-408)\/(-18) and -3\/23.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28360000 rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 6*f + 6. Let b = 44 + -40. Find the second derivative of -5*l + 2*l**3 + f*l + b*l - l wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(1100) - 6*(sqrt(1100) + 1)) + (-4 + sqrt(1100)*4)*1)**2.\nAnswer: -1600*sqrt(11) + 70500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 26*n - 878. Let o be j(34). Solve -3*l - 26 = -2*x, -5*x = o*l - 4*l - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 5*o + (4*o + 0*o - 2*o)*(-2 + 2 + 2) - 4*o + 4*o + 2*o - 4*o + 3*o + 4*o + (4*o - 5*o + 2*o)*(3 - 4 + 3).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 divided by 15?\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -121714, -121658, -121602?\n\"Answer: 56*n - 121770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -347 + 92. Let z = m + 262. Is z != 0.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559*v - 789*v + 15232 = -1126*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*x = -74*x + 248235. What is the least common multiple of 45 and x?\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 49.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((4\/2)\/(-6)). Let z = -39 - -60. What are the prime factors of 22*(z\/6 - y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 673, 1432, 2191?\n\"Answer: 759*h - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263 a factor of 8749311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkhvkvkkvlvhk. Give prob of picking 4 v.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000053364 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7463 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -230, -133, 30, 259, 554, 915?\n\"Answer: 33*w**2 - 2*w - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 8*n - 140. Find the third derivative of -24*j**2 - 10*j**3 - 17*j**n + 8*j**2 + 0*j**2 + 18*j**3 wrt j.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -30*q - 6. Let x(j) = -6*j - 1. Determine -7*x(u) + z(u).\nAnswer: 12*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.26 and -5?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 205 (b) 2 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 16, z: 1, c: 1}. Give prob of picking 1 z and 1 n.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1795, 1804, 1819, 1840, 1867?\nAnswer: 1900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/7 (b) 2 (c) -11 (d) 3\/8 (e) 149 (f) -4544\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*s = -17, 2*b - 2*s = 5*b - 7. What is the closest to 0 in 0.2, b, 4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-51) + (-612)\/(-1734)?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and 143.\nAnswer: 20.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 200525?\nAnswer: -200531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11203020003 (base 4) to base 14.\nAnswer: -29c159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/j**(-7\/2))*j)\/(j**(-7\/6)*j))**(1\/11) assuming j is positive.\nAnswer: j**(-4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or 276891\/17?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 133 + 58 = 5*h, -q + 5*h = -79. What is the remainder when q is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5018696 and 5646033?\nAnswer: 45168264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1. Let k = -183 - -175. Let p be (-2)\/k - (-63)\/84. Let w(h) = -3*h. Calculate p*w(v) + 2*n(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004324043 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c**2 + 27*c**2 - 12*c**2)*(4 + 0 - 2) + c**2 + 5*c**2 - 5*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -8. Let q = 8 - 32. Let j = q + 20. What is the nearest to -2 in j, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1\/7 (c) -2300 (d) -3 (e) -0.3 (f) -0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 59631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - 26. Let v = -18 + g. Calculate the remainder when 58 is divided by 80\/v - 4\/(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -20*i + 53. Let w(d) = 7*d - 17. Determine 4*o(x) + 11*w(x).\nAnswer: -3*x + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90\/7*o - 1\/7*o**5 - 7*o**3 + 0 + 27\/7*o**2 + 13\/7*o**4 = 0 for o.\nAnswer: -1, 0, 3, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 614 + -624. Let w be (-4)\/(-5)*(-5)\/(-2). Let l be (w\/(-5))\/(2\/v). What is the greatest common divisor of l and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -15*f**2. Let v(t) = -31415*t. Give v(g(j)).\nAnswer: 471225*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/3360)\/(2\/20)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*g + 16*g + 20. Calculate the remainder when 13 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ca1 (base 13) to base 15.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1210 - 81 = 3*f, -4*j - 2*f - 2594 = 0. What is j rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 48, 1, 9 in increasing order.\nAnswer: -4, 1, 2, 9, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1398 and 23670237.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 36*p**3 - 3*p**2 - p + 3. Suppose 15 + 7 = m - 3*i, 3*i - 13 = -4*m. Is o(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-21))\/((-184)\/15456*(-1 + -3)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2639363578.\nAnswer: 2, 9533, 138433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -17*h**2 - 24*h - 251. Let t be r(-1). Solve 0 = -4*m - 4*b + 16, -4*m - 2*b = -t + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**4\/7 + 2943*k**3\/7 - 11789*k**2\/7 - 2943*k\/7 + 1684 = 0.\nAnswer: -2947, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -205088.56 to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -331.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i**2 + i. Let h(p) be the first derivative of -9*p**4\/4 - 13*p**3\/3 + 13*p**2\/2 + 998. Determine -6*h(u) + 78*x(u).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23157049 is divided by 1214?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q + 5. What is g(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6, -n + 5*n = 3*k - 281. Let f be n\/225 + 8\/100. Which is the closest to f? (a) -2\/9 (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. Let z = 71\/6 - 12. Which is the nearest to 0.1? (a) -0.5 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**4\/12 - 7*n**3\/6 + n**2\/2 - 6*n. Let q be t(-6). What is the greatest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 42343*d - 3006359. Give o(71).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 668*w - 10770. Determine m(-16).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kctkkckckkkkck. Give prob of picking 3 c and 1 t.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**1))**(-3\/5)\/(((v*v*v**0*v*v)\/v)\/v*(v*v\/v**(-18)*v)\/v) assuming v is positive.\nAnswer: v**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(4\/(-4)) - 2. Suppose 4*r - 56 - o = -3*y, 5*y - 130 = 3*r. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7359d + 2?\nAnswer: 7359f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1800))\/sqrt(6).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 0.5 (b) -2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -14*s**3 - 10*s**2 + 3*s - 3. Let l(c) = c**3 - c**2 + c - 1. Let a(n) = 3*l(n) - p(n). What is the third derivative of a(b) wrt b?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -192, -434, -676, -918?\n\"Answer: -242*v + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 397 and 149272.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 + (-56)\/32)*264?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + -99. Suppose -3*p - 2*v = -6, p + 0*v = -4*v + 2. Which is the nearest to -1? (a) r (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 139310471 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 110*i**2 + 11980*i - 359. Calculate b(-109).\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 72396, 72397, 72398, 72399, 72400, 72401?\n\"Answer: c + 72395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 4*i**2 + 10*i + 10. Determine z(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-576)\/40)\/(-8))\/((-3)\/(-25)). Let s = 4 + c. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: 45115*6\nAnswer: 270690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3947 is divided by 172?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -930*331.\nAnswer: -307830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**6\/240 + p**5\/10 - p**4\/2 + 5*p. Let z(s) be the third derivative of q(s). Find the first derivative of z(b) wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*w + 6. Suppose 0 = -w*a - a + 40800. What is a rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r + 35*r - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/10087 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*4 + -3 + 4. Let p be x\/7 - (-6 - -1). Suppose -71 = -p*i - 5*a, 4*i - a - 59 = -2*a. Calculate the remainder when 40 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 18 (b) 6 (c) 1\/437\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 6370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 192\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6958 - -62618\/9. Which is the third biggest value? (a) 2\/13 (b) 3 (c) 2\/71 (d) q (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 7*w**4\/24 - 5*w**2. Let y(t) = t**2 + t + 1. Let d(x) = x**2 + 2*x + 2. Let i(u) = -d(u) + 2*y(u). What is i(c(z))?\nAnswer: 49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/((-2)\/(-16)). Let x(u) be the second derivative of 2*u**3\/3 - 2*u**2 + u. What are the prime factors of x(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -39. Let d be 4\/8*2 - 1. Suppose -a + 0*a + 6 = d. What is the remainder when s is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/40 + w**5\/20 - w**4\/8 - w**3\/2 + 9*w**2. Factor u(h).\nAnswer: 3*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1375513 + -4?\nAnswer: 1375508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -2635.\nAnswer: -2898.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzq when three letters picked without replacement from {q: 2, g: 1, l: 1, z: 1, s: 2, t: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-327)\/((-595140)\/560))\/(8\/3).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/q**(-1\/29))\/q)\/q)\/(q\/q**(-5)))\/(q**(-2\/13)\/q)**(-6))**(-2\/39) assuming q is positive.\nAnswer: q**(10472\/14703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 74 (b) 0 (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in 2\/7, 3, -1\/6, 0.032?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107813 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: What is the common denominator of 79\/171 and 101\/36?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - 13 = 2*b + 55, -6647 = -4*b - 2*w - 6739 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5\/4 - 115*s**4 + 45*s**3\/4 + 1035*s**2 = 0. What is s?\nAnswer: -92, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -12*h + 106. Solve -2*f = -0*f + h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 84896590.\nAnswer: -3\/84896590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -5, 637610.\nAnswer: -5, -0.6, 637610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 26 = -p, 20 = 3*t - 2*p - 3*p. What is the biggest value in 3, -2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-475) - (6 + (-735)\/125).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3*o - 45, -4*o = j - 1 + 6. Suppose -2*g + g = -2*q + j, 4*q = -5*g + 1. Suppose 6 = -i - 4*m, -3*m - q = i + 2. Is -5 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1919292 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000748933872 to 7 decimal places.\nAnswer: -0.0007489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 153*u**8\/28 + u**4\/3 + 32*u**3\/3 + 3*u - 84. Find the third derivative of n(k) wrt k.\nAnswer: 36720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) -2\/3 (c) -0.094 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {h: 1, k: 2, t: 1, e: 7, j: 6}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - b - 14, -v - 1850*b + 28 = 3*v - 1852*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - 6*j**3 + 0*j**3)*(-5*j**2 + 0*j**2 - 355*j**2).\nAnswer: 1800*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 916247990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (68 - 95) + 89 - -63\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2776*q = -5*u + 2772*q - 4, -u + 3*q + 3 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5142 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10134173 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 3\/7 (c) -0.4 (d) -29 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(2*sqrt(98)) - (sqrt(3) - (sqrt(3) - sqrt(75)*4))*-3)**2*2.\nAnswer: 2121843\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (25\/4)\/(1\/4). Let s be 168\/27 + (-2)\/9. Let y = j - s. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 0.9. Suppose -6*h - 33 = 5*h. Let u be (h\/7)\/(28\/(-98)). What is the biggest value in l, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(32\/72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8649)\/(-27) - ((-28)\/6 - -4). Let k = n + 378. List the prime factors of k.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7 = -4*f, -4*f = 2*v - 8*f + 2. Is v equal to 35\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-54))\/((-2)\/(-3)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 13) to base 15.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3092, -2969, -2846, -2723, -2600?\nAnswer: -2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.1 - 43.9. Let g = m - -70. Let f = g - 14.1. Which is smaller: -19 or f?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.15, 0, 1\/7, -3086?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12617470 to the nearest integer?\nAnswer: 3552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 451 and 634147?\nAnswer: 6975617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 16*q - 18*q + 12327, 2*q - 4*f - 12348 = 0. What are the prime factors of q?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2850 and 3648.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**5\/15 + 38*l**3\/15 + 68*l**2\/15 - 8*l\/5 - 16\/3 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 15*h**2 - h - 27. Determine s(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, c: 1, x: 2, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 783551187*o**2 + 1036180579*o wrt o?\nAnswer: 1567102374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - ((-24500)\/42)\/((-2)\/(-12)). Suppose -17540 = -17*b + g. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 827*c**5\/330 + 829*c**4\/132 + 2*c**3\/33 + 2557*c**2. Let s(m) = 0. Calculate m.\nAnswer: -1, -2\/827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 11*w - 7. Suppose 11 = -2*v + 15. Suppose -p - 4*n = 1 + 5, p + v*n = -8. Let d be a(p). Solve d*r - 4*h = 22, 6*r - 24 = 2*r + 4*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 - 83024 + 83024.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*f + 2. Let p = 118 - 40. Suppose -f*n = -n - p. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3711857\/70080072 - 3\/78919. Calculate the common denominator of m and 5\/18.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 214340639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 94, 56, -2, -86, -202?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 6*r**2 + 61. Let m(q) = 5*q**2. Calculate m(z(y)).\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -3*q**5\/20 + 4155*q**4\/8 - 692*q**3 - 4155*q**2\/4 + 8307*q\/4 - 9924. Find n such that t(n) = 0.\nAnswer: -1, 1, 2769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 10:21 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-2)\/1) + 3. Suppose 0 = i*t - t + 4. List the prime factors of t + 28 + 0 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -230538?\nAnswer: -17\/115269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**3*f**2 - 933*b**3*f - 258*f**2 - 2*f + 1 wrt b.\nAnswer: -9*b**2*f**2 - 2799*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*26\/(1 + 0). Let t = -705 - -755. Suppose -t*o = 4*o - 1404. Calculate the greatest common factor of x and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 - 61. Let l = f + -17. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 123*w**2 - 521*w - 2027. Give i(-127).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d + 10. Let j be 6 + -3 - (-1 - d). Suppose -j = -c - 2*c. Solve c = z - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14793441?\nAnswer: 3, 13, 379319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a - 7 = 0. Let u = a + 9. Let l(x) = 2*x**2 - 2*x. Let t be l(u). Solve -1 = 3*p - t*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*22.2\nAnswer: 44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 - 68. Calculate the remainder when 71 is divided by n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/2)\/r)\/(r\/(((r*r\/r**4*r)\/r)\/r)))\/((r\/(r*r**(3\/7)*r*r))\/(r*r\/(r*r*r*r*r**2))) assuming r is positive.\nAnswer: r**(-113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -392 + 1435. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1248621 and -73\/1665?\nAnswer: 692984655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 126537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338835329448*v**2 - 229*v**3 + 338835329448*v**2.\nAnswer: -229*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*n = 5*k + 16, -k + 4*n = 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.235098 less than -5746450?\nAnswer: -5746453.235098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2804637.03599931 - -2804637. Let k = 180.964 + -181. Let u = g - k. Round u to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) -6 (c) 609 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7))**(-1\/10) assuming p is positive.\nAnswer: p**(-1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 154, 193, 206, 169, 58?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10807*t + t**2 - t**2 + 0*t**2 + 527*t**3 - 11339*t - 2 wrt t?\nAnswer: 3162*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)*c)**(-1\/42)\/(c\/(c*c**(-1\/2)))**(-24) assuming c is positive.\nAnswer: c**(839\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 9:40 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*1*(-2)\/4. Suppose w = 2*r + 914702 - 2464692, -w - 5*r - 1550025 = b. What is w rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 30*y**2 - 83*y - 1052. Let v(t) = 11*t**2 - 28*t - 351. Let b(u) = -8*v(u) + 3*w(u). What is the first derivative of b(j) wrt j?\nAnswer: 4*j - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 543616192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuoujuuuouujuj. What is prob of picking 1 o and 1 u?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 4*h**2 - 2*h**2)*(-7782 + 7782 - 174*h).\nAnswer: 348*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 - 3*r**2 + 3*r - 3. Give z(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4 + 150*z**2 - 150*z**2 + 12*z + 7*z**3 - 4*z. Let x(l) = -8*l**3 + l**2 - 8*l + 5. Let s(q) = 7*u(q) + 6*x(q). Let a be s(-3). Sort 0, 1, a.\nAnswer: 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65007245 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -32. Sort 2, -1, r, 0 in increasing order.\nAnswer: -1, 0, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-6 - -9) - (-7 - (-12)\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 10) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 491 + 1683 = -35*f + 414 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1156*y**3 + 16964096*y**2 + 149615700*y + 329985000.\nAnswer: 4*(y + 14666)*(17*y + 75)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 18*h**2 - 177*h - 1233. Let x be g(-7). Calculate the highest common factor of x and 5106.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*1*-4 + (-1*sqrt(2299) - sqrt(2299) - sqrt(2299)))*-3.\nAnswer: 111*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816*h + 814*h = 11*q + 165, 5*q + 75 = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/33 (b) -2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-11 - (-4 + 12)) + 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/374 in 0.133, -1, 3?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7607, -30720, -69243, -123176?\n\"Answer: -7705*r**2 + 2*r + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*z - 105*z + 12 = 0. Let y be -6*(-2 - (-6)\/4). Suppose y*m = -v + 535, -5*m + 4*v - z*v = -890. Does 30 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -46*y - 674. Let p(x) = -15*x + 1. Calculate h(d) - 3*p(d).\nAnswer: -d - 677","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5026 - -4091. List the prime factors of m.\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.54851 months in decades?\nAnswer: 1.86290425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 19*t**2 - 2*t - 4. Let l(j) = -10*j**2 + j + 2. Calculate 11*l(q) + 6*o(q).\nAnswer: 4*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4440975 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -22. Suppose -u + j - 1 = 0, 0 = -3*u - 0*u - 5*j - h. Is ((-8)\/(-12))\/(u\/(-111)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3923261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 324 - 341. Is z smaller than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 3, -0.5, 159, 0.26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -979\nAnswer: -50\/979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55934099 or -55934098?\nAnswer: -55934098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 17*s**3 + 24*s**2 - 815*s + 790. Calculate u(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 6*i**2 - 6. Calculate a(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 16. Let r be p(-8). Suppose r = x + 2 - 17. Let y = 8 - 2. What is the highest common factor of y and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*k + 34, 0 = -3*k - 0*k + 12. Let y = -1 - z. Suppose 0*h + y*h - 115 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8612 + 8607 + 8612 + 3*a - 25831.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**3\/3 - o**2\/2 + 158*o. Let a(z) = -5*z + 3. Determine 3*a(s) + 7*r(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 542 - -2035121?\nAnswer: 2040103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7443.864 years to months.\nAnswer: 89326.368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 2*x**2 + 6*x**2 - 8*x**2. Let u(l) = 2*l + 4. What is u(g(f))?\nAnswer: 4*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -v, 3 + 5 = -2*v. Let t = f + 4. Let g(m) = -m**3 + 8*m**2 - m + 9. Let i be g(t). Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 7*s**3\/3 + s**2\/2 - s - 1. Let k(h) = -2*h - 11. Let w be k(-6). What is p(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 n when four letters picked without replacement from nnngnnnknggggg?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4314, -7362, -10470, -13638?\nAnswer: -16866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37142834*g**3*k**3 - 2*g**3*k - 60824*g**2*k**3 + 404*g**2*k + 2*g wrt g?\nAnswer: -222857004*k**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.485873um to meters.\nAnswer: 0.000008485873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139.525 + 139.4977452. Let l = -2.6273098 - h. Let k = 2.6 + l. Round k to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441270 is divided by 2156?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26319.8313 - 26321. Round r to two decimal places.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6215518?\nAnswer: 2, 41, 229, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8933*y**2 - 7064*y**2 + 15555*y**2.\nAnswer: -442*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338*y**4 - 132132*y**3 + 13044818*y**2 - 25694592*y + 12781568.\nAnswer: 2*(y - 1)**2*(13*y - 2528)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w**2 + 5*w - 1. Suppose -4*o + 5*f = 35, 2*o - 1 = -4*f + 1. Let l be i(o). Let d = l + -496\/3. Calculate the common denominator of 53\/7 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227694073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 482\/8 - 8\/32. Let o = v - 52. Let y be 3*(-2)\/9*18\/o. Sort 0.06, y, 5 in decreasing order.\nAnswer: 5, 0.06, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -15*h + 44. What is the second derivative of 5 + 24 + 28*q - 29*q + 6*q**h + 8*q**5 wrt q?\nAnswer: 160*q**3 + 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -26*q**3 + 36*q**2. Let r(o) = -2*o**2. Give 4*g(b) + 72*r(b).\nAnswer: -104*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m + 4*m + 6*m)*(5 + 2 + 4).\nAnswer: 209*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -64454, -67256, -70058, -72860, -75662, -78464?\n\"Answer: -2802*h - 61652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44534 is divided by 2474.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788 = 6*t - 4*t + 2*q, -1555 = -4*t + 3*q. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 53*b. Let k(p) = -2*p. Let m(a) = -j(a) - 3*k(a). Let z be m(-1). Calculate the highest common divisor of 235 and z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1. Let p(q) = 2*q**2 - 18*q + 6. What is 4*j(m) + p(m)?\nAnswer: 2*m**2 - 18*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from {i: 1, z: 2, c: 4, p: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a + 12 = 0. Let n(y) = -y**2. Let z(j) = -j. Let k(r) = a*z(r) - n(r). List the prime factors of k(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4740710898 and 2387?\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 6*o + 2*o)*(-o**2 - 1 + 1) - 3*o**2 + 12 - 3*o**3 - 12 - 10*o**3 - 6*o**2 + 6*o**2 + (-3*o**2 + 42*o**2 - 79*o**2)*(-2*o - 5*o + 5*o).\nAnswer: 68*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*2\/(-42) - 95\/(-35). Solve -k + 0 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 17 = -3*c, 4*c - 5*a + 280 = 288 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p = -673. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -2)\/(3\/5 - 1). Let k = 3.67 - 0.17. Let v = -0.5 + k. Which is the biggest value? (a) -0.3 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -28. Suppose -4*s + 24 = 4*o, 0 = -0*s + f*s + o - 14. Suppose 0 = 5*q - 15, 4*v - s*q - 3 = 19. Sort v, -4, 5 in increasing order.\nAnswer: -4, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*((-3*sqrt(385))\/sqrt(7))\/((sqrt(960) + sqrt(60))\/sqrt(12)).\nAnswer: -9*sqrt(11)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 + 37*y**2 - 5*y**2 - 39*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4096\/23 - 178. Is 1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 117?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -8*i**5 - 547828*i**4 - 17248508*i**3 + 9309044*i**2 + 17248516*i - 8761216 = 0.\nAnswer: -68447, -32, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (110\/(-3))\/((-7)\/(-21)). Let v be 2115101\/r + 20\/(-50). Let f = 19232 + v. What is the common denominator of -5\/44 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 20*h**3 - 8*h**2 + 17*h + 5. Let a(j) = -7*j**3 + 3*j**2 - 6*j - 1. Determine -17*a(g) - 6*y(g).\nAnswer: -g**3 - 3*g**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 0.08152171.\nAnswer: 5.08152171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5310 is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 + 8*u**2 + 14*u + 42. Let t be o(-3). Which is smaller: 591 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 130440678?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 506.\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 112, -376.\nAnswer: -376, 3, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 61*a**2 + 2*a + 2. Let z be o(-2). Suppose 0 = 4*l + 2*g - 2, 3*l = 3*g - 12 + 18. Suppose -l = f - z. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90290 and 12026628.\nAnswer: 60133140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6153)\/(-84) - 375\/(-500).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1352367 is divided by 450747.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from kddxxfxxxfxwxx?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19854 by -3.\nAnswer: -6618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g - 6*g**5 - 938*g**2 + 15*g + 894*g**2 + 44*g**4 - 8*g**3 = 0.\nAnswer: -1, 0, 1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-3))\/((-13)\/26*2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 17, 2, -84 in increasing order.\nAnswer: -84, -4, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - (0 + -3 + 2). Let q(h) = -h - 4. Determine q(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/4628 and 77\/18?\nAnswer: 41652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5358 and 893?\nAnswer: 5358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 43.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 41*s**2 + 24*s - 380. Does 20 divide z(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**6 - 2329672*y**4 - 3*y**3 - 44114*y**2 - 42*y + 2 wrt y.\nAnswer: 120*y**3 - 55912128*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 2607*f - 2*f**2 - 5218*f + 2609*f)*(2*f**2 - 2*f**2 + 2*f**2).\nAnswer: -4*f**4 - 4*f**3 - 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42780094249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-468)\/(-144) + ((-26)\/(-52))\/(6\/(-213))?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + 5 + 9 + 15)*(-5*c + c + 3*c).\nAnswer: -2*c**4 - 29*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - -2 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40300.43 decades in millennia?\nAnswer: 403.0043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**19)**28*(z**23\/z)**(-1) assuming z is positive.\nAnswer: z**(-526)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 - 80*j**2 - 222*j = 0. What is j?\nAnswer: -37, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a century in months?\nAnswer: 23200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116200 and 18400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -76*y + 31*y + 30*y + 30*y. Let a(l) = -8*l**2 + 5*l + 5. Let d(m) = m**2 - m - 1. Let p(j) = -a(j) - 5*d(j). What is o(p(i))?\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1.4. Let w = -103 + 103.2. Sort n, 2, w in increasing order.\nAnswer: w, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + 16\/16 + 13. Which is smaller: 111\/100 or m?\nAnswer: 111\/100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(13\/3)*i\/i**(2\/3)*i)\/(i*i\/(i**(-12)*i)*i*i)**(1\/30) assuming i is positive.\nAnswer: i**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**2 + n**2 - 5*n**2 in the form q*n + x + y*n**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(-1 + sqrt(80)) + -4 + (-3 + 1 + sqrt(605) + (-1 + sqrt(605) + -5)**2)*2.\nAnswer: -218*sqrt(5) + 1267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {p: 10, y: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d - 12. Suppose -w = d*w - 12. Solve 5*c + 2*b = w*c + 8, 8 = -c + 2*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235603889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = -3*w - 12. What are the prime factors of (4\/30 + (-4324)\/30)\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26287157*l**5 - 86767637*l**2 - 2*l.\nAnswer: -1577229420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -70, -5, 0 in descending order.\nAnswer: 30, 0, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/((-2100)\/648)*42. Let r(n) = -n**2 + n + 9. Let h be r(0). Suppose h*l - y = -0*l. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-2\/17)\/(u\/(u*u*u**2))**(3\/8) assuming u is positive.\nAnswer: u**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {q: 2, p: 4, e: 6, a: 4, m: 1}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*n + 26229 = 472*n + 68*n - 10551 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/3807 and -5\/439074.\nAnswer: 1317222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2160, 2147, 2108, 2031, 1904?\n\"Answer: -2*u**3 - u**2 + 4*u + 2159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 13 = 17*r. Suppose 4*n = 2*d + 38, 0 = 3*n + n + r*d - 8. Suppose 0 = -16*c + n + 9. Calculate the common denominator of c and 91\/106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7931.414 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*p - 75 = 0, 2*p - 60 = -3*a - 2*a. Let c(j) = j**2 - 11*j + 12. Let b be c(a). Solve 4 = -b*g + 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bc68 - -1158?\nAnswer: 100c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 24 + 0 + -19 - 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -5*l, 0 = 364*o - 362*o - 3*l - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3677358 - -7915673. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**5\/30 + 371*l**2. Let a(m) = -65*m - 2. Determine w(a(u)).\nAnswer: 8450*u**2 + 520*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*o = -2093280 - 106919 + 142786. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4*a + 6880, -23*w + 1696 = -22*w - 5*a. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 7*i**2 + 9*i + 2. Let o(p) = p**3 + 12*p**2 + 38*p + 15. Let v be o(-7). Give r(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 - 963370*i\/13 - 22158568\/13.\nAnswer: 2*(i - 481708)*(i + 23)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbtnict. Give prob of sequence nn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98398 by -23.\nAnswer: 98398\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7524239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 3. Let s be c(3). Suppose s*a + 3*q = -3*a + 69, -33 = -a - 3*q. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*p + 488, 3*p = 1 - 4. Let i = f + 2456\/5. Find the common denominator of 508\/(-160) + 22\/(-10) + 2 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.61 + -0.11. What is the third biggest value in n, -9\/4, -2\/21?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h**(1\/3)*h)\/h)\/h)**6*h**(-10\/9)\/h**(11\/2))**(1\/11) assuming h is positive.\nAnswer: h**(-83\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -2\/21 (c) -5 (d) -0.1 (e) -4.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-29574)\/(-12) - (66\/(-12) - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**3 + 85426*s + 4*s**2 - 28469*s - 28471*s - 28480*s.\nAnswer: 25*s**3 + 4*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 - 5 + 5 + (-7*b + 2*b + 4*b)*(-2*b - 1 + 1) - 22*b + 11*b**2 + 21*b + b**2 + 2*b - b**2 - 2*b as a*b + g*b**2 + r and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-19)\/285*(-1)\/(2\/3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006981 to four decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48040?\nAnswer: 2, 5, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 53 - 43 = 0. Let v be (-1 + 4)\/((-3)\/(-82)). Let h = v - g. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/4*1*180\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8702 is divided by 1071.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 319075138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5 - 1006\/80. Suppose 0 = 4*o + 68*g - 64*g + 24, -3*o = 2*g + 25. Which is smaller: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 17 = 0, -2*q = -145*o + 141*o + 30 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 10. Calculate t(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5321 + -12252?\nAnswer: -2531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -9*i - 140. Let t = -154 + 135. Which is bigger: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2434056 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**28\/t*t**30 assuming t is positive.\nAnswer: t**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1239 and 5.439.\nAnswer: 0.6738921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.055181 grams?\nAnswer: 0.000000055181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101787.7592 - -484254\nAnswer: 382466.2408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2928 + 1422 + 462 = -74*p + 2952 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g + 55. Let w be v(9). What is the units digit of -1 + (35\/(-25))\/(w\/(-65))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 12*d. Let n be (-6)\/4*912\/342. Calculate b(n).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/13)\/(18\/66).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + 32 = 4*n, -p + 28 = 5*n. Let y be (2 + 1\/(-2))*16. Suppose n*a = a + y. 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: Is -0.05 < 2943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01944839 rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1251 = 6*i - i - 4*y, 3*y - 235 = -i. What are the prime factors of i?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.667*-45.8\nAnswer: -30.5486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/13)\/(5\/30)*5\/3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by 1306?\nAnswer: -49\/1306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z - 1\/80*z**5 + 1\/24*z**3 + 0 + 1\/24*z**4 - 1\/4*z**2. Let n(s) = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 998*b**2 + 13678*b - 47530.\nAnswer: 2*(b - 485)*(b - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 7*t - 65. Let r be w(-13). Suppose 3*g - 64 = -r*g. Solve -g*m - 4 = -12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 842 = -5*o + 42, -2*o + 670 = 4*f. What is the second derivative of -316*s + f*s - 36*s**2 + 186*s wrt s?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {m: 12, v: 1, u: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - k = -24 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 3 - 4 + c - 9*c**2 - 5*c. Let n(o) = -7*o + 26. Let l be n(5). Is 7 a factor of u(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4841171838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -31113 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -356947.157 - -356801. Let h = m - -0.157. Let b = h + 146.0117. Round b to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15839357423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**2 - 12303*a + 12300 = 0.\nAnswer: 1, 4100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15649325 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10120 (base 3) to base 10\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 2532*h - 25357. Give s(-10).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166029807, -166029813, -166029819?\nAnswer: -166029825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngagjggeeananeeneaa. Give prob of sequence gjn.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f + 5*q + 9 = 0, -4*q = 4*f + 4. Put -2, 42, f, -5 in decreasing order.\nAnswer: 42, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 2.9 (c) -1 (d) 4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 699978*r - 2099907.\nAnswer: -3*(r - 233323)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -11\/7657 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.6. Suppose 5*r = r - 3*q - 29, 0 = -4*r + 3*q - 11. Sort r, 0.3, p, 3 in decreasing order.\nAnswer: 3, 0.3, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*((-33)\/12)\/11. Let m be 139 - ((-46)\/161)\/(o\/(-14)). Let n = -21 + m. List the prime factors of n.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3134*a*o**2 + 225*a*o - 3244*o**2 + 4*o + 27 wrt a?\nAnswer: -3134*o**2 + 225*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*h**2*w - 22*d*h*w - 3*d*h - d*w - 2*d - 5507*h**2 wrt h.\nAnswer: 2*d*w - 11014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/25)\/o)\/(o**(-5)*o*o*o))\/((o*o\/o**0*o)\/o)**(-8\/3) assuming o is positive.\nAnswer: o**(481\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 471826 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 150926071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/120 - 3*r**5\/20 + 7*r**4\/12 - 4*r**2 + 92*r. Factor g(w).\nAnswer: w*(w - 7)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*v**4 + 0*v**4 - 978*v - 70*v**4 + 25*v**4 + v**3 wrt v.\nAnswer: -216*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q - 30. Determine s(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 2*h**5 + h**4 + (-2*h - 2*h + 5*h)*(h**3 - h**4 - h**3) + h**5 + 2*h**5 - 5*h**5 - 26 - 11*h**5 + 57 - 30.\nAnswer: -12*h**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -6 - (0 + 5 + 139197\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(220)\/sqrt(5) - (sqrt(22)\/sqrt(2) + 1).\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 331769527*w**3 + 5*w + 30378544?\nAnswer: 1990617162*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/(((-40)\/(-14))\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**2\/2 - c + 476. Let x(g) = -12*g - 10. Determine -10*j(i) + x(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 10. Differentiate -2*q + m*q - 3*q - 2*q - 2 wrt q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 572*f - 573*f = 0. Let o(g) be the first derivative of 1\/30*g**5 + 1\/24*g**4 + 0*g - 1\/9*g**3 + 6 + f*g**2. Suppose o(b) = 0. Calculate b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -9\/4, -0.04, -28088, -2?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321131 + -1?\nAnswer: 321130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/125 and 71\/40?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 - 94 - ((9 - 4) + -57)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 + 5*z**2 + z**2. Let q(g) = 27*g. Determine p(q(w)).\nAnswer: 2187*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 - 9*t + 5. Let j be (16 - 2)*(-1)\/2. Let u(p) = -10*p**2 + 13*p - 7. Let y(v) = j*s(v) - 5*u(v). Find the second derivative of y(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 + 18*v**2 + 69*v + 145. What is the ten thousands digit of i(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2761104 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 2. Let g(t) = -1. Let d(m) = -2*g(m) + q(m). Let p(z) = 9*z. What is p(d(j))?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 110*i + 10. Let s be t(5). Let z be (102\/(-4))\/(42\/s). Let d be 4\/(-22) - z\/55. Is d greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, 27, 6\/13?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 - 247 = -9*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3291990 by 39.\nAnswer: -84410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278972 = -491*j - 250494 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5 - 44*o**4 + 188*o**3 - 388*o**2 + 384*o - 144 = 0. Calculate o.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 45, -2\/11.\nAnswer: -2\/11, 0, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**4\/6 + 176*j**3 - 1025*j. Let q(t) = 0. Calculate t.\nAnswer: 0, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/57?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 52 = -79. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by (-3 - -1)*7\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7382 + 0.7582. Which is the closest to -2.3? (a) 2\/19 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-3) - 2)*2. Let w = o + 10. What is the tens digit of (w + 28\/(-12))*-129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -263*x**7\/14 - 767*x**4\/12 - 16*x - 17. Find the third derivative of t(h) wrt h.\nAnswer: -47340*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (7 - 9) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 574*z - 61781. Calculate h(144).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2153*v + 2138*v = b - 16, -5*v = -4*b - 196 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/28)\/((-2)\/(-40)). Suppose 2*k - c = -2*c + 129, -u*c + 133 = 2*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/16 and -137\/70080?\nAnswer: 70080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24980 + 25008. Calculate the smallest common multiple of 2236 and f.\nAnswer: 15652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.038, -5, 3, -2 in increasing order.\nAnswer: -5, -2, 0.038, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -n - 9, 24 = 5*g - 3*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 6304.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a - 46004. Let z = a - -229973\/20. What is the common denominator of (1806\/(-456) + 4)*46 and z?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 75. Let v(s) = 63. Let m(g) = -5*o(g) + 6*v(g). Let c(z) = 4*z - 9 + 5*z - 4*z - 4*z. Let q be 12\/(-7) - (-6)\/(-21). What is q*c(h) - 7*m(h)?\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (12 - -3) + 1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -474*o - 361951 + 337777 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vekq when four letters picked without replacement from kvjvkjkvekqkjkvvv.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 divided by -81.\nAnswer: -71\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 236068243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -x + 3*x**2 - 10 + 1 + x wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7 and -0.4.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2526*k**2 + 2*k + 2. Let v(a) = 25260*a**2 - 21*a - 21. What is 21*s(f) + 2*v(f)?\nAnswer: -2526*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssko when four letters picked without replacement from {u: 1, o: 1, c: 2, k: 1, s: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50731 or 6871?\nAnswer: 6871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 11*m + 23*m - 10*m)*(3 + 1 - 2)*(0*m**2 - 3*m**2 + 2*m**2).\nAnswer: -4*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*k - 137*k + s = -6, 3*s - 10 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 59*g - 100 = 63*g. Let o(q) = 70*q**2 + 3*q + 2. Calculate o(g).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5962476 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1, -3\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l**5*l)*l)))**44*l\/l**(4\/3)*l**(-3\/10) assuming l is positive.\nAnswer: l**(-5299\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 482.\nAnswer: -964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (2 - -3) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10553*g**2 + g*h**2 + 2271*g + 78579*h**2 - 18*h + 5 wrt g?\nAnswer: -21106*g + h**2 + 2271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-45) + -1)*4\/6. Let q = 8.7 + -9. Sort -0.5, -5, q, c in decreasing order.\nAnswer: q, c, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/6)\/g)**(-8\/5)\/(g*g**(2\/13))**(-2\/45) assuming g is positive.\nAnswer: g**(-14\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**3 + 3*n**2 - n + 2. Let m be (1 + -3 - -3)*1. Let r = m + -3. Let j(p) = -p**3 - p**2 - 1. Let u(w) = r*j(w) - c(w). Determine u(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssvssvvsjsssjsssss. Give prob of picking 2 j and 1 s.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeee. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4796 (b) -13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*j = -2*j - 41, -c = j - 10. Solve -5*p = 4*m + 6, -m + c + 4 = -5*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3940548766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u = -29*u - 8*u + 224 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**2 - 3*j - 5. Suppose -40 = -2*x + 7*x. Is y(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -44\/7 = -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4440835224?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -15*i + 52. Let l(r) = 13*r - 65. Let a(w) = 5*j(w) + 4*l(w). Let v(f) = -2*f**2 - 68. Determine a(v(t)).\nAnswer: 46*t**2 + 1564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -3. Let d = 5304 - 5583.9. Let k = d - -280. What is the nearest to k in -5, 0.07, p?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(6\/11)\/(s**(-6\/7)\/s))\/(s\/s**3*s\/(s**(-2\/19)*s))*(s**(1\/2)*s)**(2\/19)\/(s**(-2\/15)*s*s\/s**4) assuming s is positive.\nAnswer: s**(144586\/21945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -v + 3*w + 25, 5*w + 25 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.867838 kilograms?\nAnswer: 3867838000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-36)\/7)\/((-72)\/3276) and 78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 51 (c) 64.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -20*a + 2. Let w(f) = 19*f - 3. Calculate -3*c(i) - 2*w(i).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 138, 147, 188, 267, 390, 563?\n\"Answer: z**3 + 10*z**2 - 28*z + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.185 + 0.185. What is the nearest to v in -2, -1, 7\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 834 = -3*l, 4*l - 3*b - 1561 = -450. Solve 7*i = -256 + l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 6234*r**2 + 6228*r + 12464.\nAnswer: 2*(r - 3116)*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8*s = -45. Suppose -s*a = -4*h + 637, a + 323 = 3*h - h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k - 2. Calculate g(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -628, 44994 in ascending order.\nAnswer: -628, -3, 44994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 668688?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-28)\/10)\/(2\/(-60)). Suppose r + 3*o = 82 + t, -720 = -4*r + 2*o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 + 0.54. Let j = n - 0.35973. What is j rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -654*r + 3 - 4*r - 188*r + 0 - 1.\nAnswer: -846*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u - 5 = 0. Suppose -10 = 7*j + 3*j. Is 1257 - j\/(u\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56561 to the nearest 1000.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -4908.8.\nAnswer: 24544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, n: 3, p: 7, i: 2}. Give prob of sequence pnn.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7476 divided by -14\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, -2, 4, -185, 5, 1 in increasing order.\nAnswer: -185, -21, -2, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/306 and 57\/340.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(784) - sqrt(784)*-2) + sqrt(16))\/sqrt(8).\nAnswer: 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 - 18 - -89 - 30?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 253?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1224*a**2 + 22038*a - 21. Calculate p(-18).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 10*h**2 + 7*h + 18. Let p be d(-10). Let x = p + 64. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14149 - -14151. Let b(q) be the first derivative of -30 + q**n + 1\/3*q**6 + 4\/3*q**3 - 2\/5*q**5 - 2*q - q**4. Factor b(w).\nAnswer: 2*(w - 1)**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + -8. What is j rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/2)*b)\/b**(2\/55)*(b\/(b*b*b**1))**26)**(-28) assuming b is positive.\nAnswer: b**(80906\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find u such that 10*u**3 - 32*u**2 - 3*u**4 + 17*u**4 - 5*u + 13*u = 0.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 14, 10, -29, 0 in descending order.\nAnswer: 14, 10, 0, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 196 = 5*p. Solve -30 = -2*k - p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.7 + -26. Let n be (-2)\/(-7) - (133\/(-49) - -4). What is the biggest value in -0.11, n, w?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 + 1 + (8 + -10 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 1. Let c be g(-4). Let z(t) = t**2 + 7*t - 8. Let k be z(-8). Suppose k = -5*m + i + 3510, -3*i = c*m - i - 2093. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6545 or 32\/5?\nAnswer: -6545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 47*y - 39 + 3*y + 14 - y.\nAnswer: -45*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185124 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1302 + -643. Let b = n + -659.0594. Round b to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*x**2 + 362*x**2 - 143*x**2 - 34 - 120*x**2.\nAnswer: -25*x**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -212.8 + 117. Let q = -86 - d. Round q to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214012997 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: Let y(n) = -556688*n. Let d(r) = 1900*r. Determine -880*d(h) - 3*y(h).\nAnswer: -1936*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3249 divided by -19.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 16*m + 1 - 191*m**2 - 5 - 5*m + 185*m**2. Let k be x(-5). Let o = -83 - k. Calculate the highest common factor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1)\/((-11)\/((-22)\/18)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 2*b**2 - 3*b - 5. Let h be r(3). Sort -2, 3, -1, h.\nAnswer: h, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 155*p**3 + 7440*p**2 + 7*p + 330. Determine m(-48).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 - 2*q + 1. Let n be w(1). Suppose -s + n + 2 = 0. Solve 10 = s*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 23 = -z, 5*r - z - 28 = -3*z. What is the third derivative of 3*b**5 + r*b**2 - 2*b**5 - 2*b**2 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 8*g + 7. Let o be y(-6). Let q = -3 + 2. Let c be (2 - 0)*q\/2. Sort c, 1, o in decreasing order.\nAnswer: 1, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l - 6*l)*(-6 + 1 + 2) + 0*l + 5*l - 2*l.\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4a (base 16) to base 6\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g - 6. Suppose 5*k = -0*z - 5*z + 105, -g*z + 48 = 5*k. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v. Let s = 10 - 8. Let g(x) = 3*x**2 + 0*x**s - 4*x**2 + 0*x**2. Determine l(g(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364136?\nAnswer: 2, 23, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 - v**2 + 2*v**2 + (0*v - v + 2*v)*(v - v - v) + 39*v**2 - 117*v + 117*v in the form i*v + y*v**2 + h and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5968\/5875 + 50\/47. Let x = -616\/7625 + l. Let m = x + 67\/183. Which is the second biggest value? (a) 2\/11 (b) m (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.3902005.\nAnswer: -1.9510025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10*61\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 0 + 25 - -5 - (12 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times -30?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (sqrt(704)*-2)**2*-5 + sqrt(704) - (3 + (sqrt(11) - (sqrt(11) + (-4*sqrt(22)\/sqrt(2) - sqrt(11)))))**2.\nAnswer: -14364 - 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v = 0. Let l = -120 + 121. Let o(z) = z**3 - 7*z**2 + 6*z + 3. Let m be o(6). Put l, v, m in ascending order.\nAnswer: v, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51029 is divided by 4634.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -87?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 5, -107 in ascending order.\nAnswer: -107, -12, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*441\nAnswer: 44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2872176 and 848?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 9, 5, 1?\n\"Answer: -4*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i - 22 = 0. Suppose 5*f = 3*m - i, -4*m - 7*f = -2*f - 38. Let d be (-361)\/38*12\/(-57). Solve m*s + 9 = 4*s, 6 = d*g - 4*s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9545629*c**3*x**2 + 169779828*c**3 - 4*x**4 wrt x.\nAnswer: 19091258*c**3*x - 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 1 - -1)\/(-4). Let m(h) = -h**2 + 6*h - 1. Let g be m(6). Put 0.5, g, l in descending order.\nAnswer: 0.5, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2095 + 851*x + 31*x + 1639*x + 1006 wrt x.\nAnswer: 2521","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:39 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31385429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (256\/(-20))\/((-6)\/15). Suppose 3 = -p + h. Let m = -31 + p. Is m greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/g**4*g)\/g)\/g)\/g)\/(g**6*g*g))\/(g**(3\/2)\/(g**(-7\/3)\/g))*(g**(-2\/3)\/g*g**(-2))\/(g**(-3\/8)\/(g\/((g\/(g**1*g)*g)\/g)*g)) assuming g is positive.\nAnswer: g**(-145\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 4*k + 1\/4*k**4 + 4 + 0*k**2 - 5\/3*k**3. Suppose -4*b + 18 = 4*y + 2, 3*y + 4*b - 13 = 0. Determine i(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7145 is divided by 152.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 2*a - 310*a**2 - 9 - 4 - 99*a**2.\nAnswer: -409*a**2 - 3*a - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/((o\/o**(-2\/11))\/o)*o)\/o)**40)**40)**(-28) assuming o is positive.\nAnswer: o**(-403200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxdxxxddddddd. What is prob of sequence dddx?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-36)\/(-528) - 137\/(-583). Let d(c) = -c**3 + 1. Let k be d(0). Let n = k - 0. Do n and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 44 = 2*d. Let f = d - -36. Suppose -6*v = -67 + f. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 6. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49543\/1480 - 37 - (-10)\/80?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Let p = -1\/29 + -26\/87. Suppose 0 = 2*d - 0*n - 5*n - 7, n = -3. Which is the closest to p? (a) l (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 = -7. Suppose -b + 30 = w*b. Let y = 2 - -16. Calculate the lowest common multiple of y and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g. Let j = -1335 + 1336. Let c(l) = 3*l**2 + l - 1. Calculate j*c(n) - 5*u(n).\nAnswer: -2*n**2 - 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 31140524 to the nearest 100000.\nAnswer: 31100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2299*v - 1730 + 5959 + 1587*v + 2035*v wrt v?\nAnswer: 5921","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 667484.5l to millilitres.\nAnswer: 667484500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 6*m**2 + 8*m**2 - m + 2*m.\nAnswer: 7*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60136269618873\/833680 - 72133516. Let r = 11842632799\/2501040 - a. Let j = r - 4732. Calculate the common denominator of j and 43\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5862301 is divided by 837441?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 2) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 0)*(1831624*j - 1829536*j + 1 - 1) to the form k + o*j and give o.\nAnswer: -10440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7420\/(-1060)*336\/98.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*k + 112 + 98 = -88*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 10, f: 7, t: 1}. Give prob of sequence ttt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 177 + 25205554?\nAnswer: 25205753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 612644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + i + 20. Let m = 13 - i. Suppose -4*d = -12, -3*w + 2*w - m = -3*d. Solve -22 = 4*u + 4*g - w, -u + 5*g = -14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 + 53. Let u = 307 - k. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*j - 71*j + 151*j)*(-16*j**2 - 19 + 19).\nAnswer: -1920*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5651623193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4 + 9*n**3 + 9*n + 26849 wrt n.\nAnswer: 8*n**3 + 27*n**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2570 and -903.\nAnswer: 2320710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3765162457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -26. Suppose z + 8 = 24. Which is the smallest value? (a) z (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2) + 8\/6. Let p = -2 - o. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/55? (a) 3 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i - 9 = -4*j, -3*i + 9 = 0. Let z = -234 + 411. Let y = z + -159. Solve 5*q - y = -l, 3*l + 5 + 1 = j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29516 and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-129)\/64 - -2). Suppose -3*j - 5*c - 113 = 99, 0 = j + 5*c + m. What are the prime factors of (-2)\/9 + j\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67493\/10 - 6743. Let w = 6099 - 48885\/8. Calculate the common denominator of s and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 13*g**2 - 8*g + 10. Let x(r) = r + 1. Let w(z) = o(z) + x(z). Let t be (-1)\/(-6) - -1*1085\/186. Let j be w(t). Is j bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -33*n + 2488. Determine v(76).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 10:48 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.160791 litres?\nAnswer: 160.791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11883 is divided by 11825.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 n when three letters picked without replacement from ggnnnnnnngnnnnnnnn.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11598507 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o + 18. Let d be s(0). Suppose -9*q = -d - 0. What is the second derivative of -18*c - 7*c + c + q*c**2 + 6*c wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25712*w**3 - 12138*w**3 - 3141*w**3.\nAnswer: -40991*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 5*r**2 + 25*r + 128. Let w be v(5). Solve -h + w - 8 = 2*a, -5 = -h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54635 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -3\/4*x**4 + 5*x**2 + 0 + 0*x**3 - 23*x. What is the derivative of w(v) wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 941 + 304. Suppose -o - 7863 = -12*q. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48780.\nAnswer: 2, 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.38 * -780.33\nAnswer: -1076.8554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 65116183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*i - 19, 0*n - 3*n + 2*i = -16. Suppose n*k - 60 = -8. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/42*(-18)\/(-4))\/(3496\/(-608))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 - 1 = 0. Suppose -3*u - 5 = -5*t, 3*u - 2 = -5*t + b. Suppose 4*r - 3*m - 93 = 0, m + 4*m - 25 = u. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4 = 5*s, 6 = 5*l + s + s. Suppose 4*f - 76 = -2*r, -r + l*r + f = 34. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23282 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/3 + 13506380*z + 324153248\/3 = 0.\nAnswer: -8, 20259578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 4900225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q = -2*f - 29, -5*f + 5*q - 20 = 0. Let i(j) = 18*j + 4. Let h(r) = 10*r + 1. Let l(p) = f*h(p) + 4*i(p). What is l(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 810 and 0.5.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/(60\/(-15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*q - 28*q**2 + 1 - 92*q + 45*q to the form j + c*q + p*q**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -136.\nAnswer: -5\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 542 and 533 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 432003 to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzdq when four letters picked without replacement from {d: 6, z: 1, e: 2, q: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**4\/4 + 11*h**3\/3 + 7*h**2\/2 + 9*h + 12. What is the remainder when m(-6) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 16. Let k be g(-18). Suppose 5*d - 4*d - 9 = 4*p, -k*d = -3*p - 13. Suppose -d*s + 29 = -4*s. What is the greatest common factor of s and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 9*l - 4. Let x(a) = -a**2 - 8*a - 4. Let y(n) = 3*x(n) - 2*z(n). Suppose 0 = -2*v + 1 + 5. Suppose -v + 28 = 5*p. Determine y(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 10:17 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2165119507 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 97*h**2 + 368*h - 448. Calculate l(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5140, 5171, 5250, 5401, 5648, 6015, 6526, 7205?\n\"Answer: 4*q**3 + 3*q + 5133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/16 + (-9)\/(-4). Let y(l) = 209*l - 394*l - 4*l**o - 2*l**3 + 199*l + 8. What are the prime factors of y(-5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -280 + 282. Suppose b = -m + 5 - 7, -u*m + 16 = -3*b. Solve 2 = g + 2*f - m, -10 = -g - 4*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 - (-2)\/4. Let c(b) = 37 + b - 20 - 18. Let f be c(n). Solve f = -3*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3035*n = -2897*n + 2346 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1754 + 1758. Let a(f) be the first derivative of 0*f**m + 3 - 6\/5*f**5 + 0*f**3 + 3\/2*f**2 + 0*f. Find the second derivative of a(l) wrt l.\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2095 is divided by 351?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 748658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c - 3*c**3 + c**3 + 344 - 349 as w*c**3 + r*c**2 + s*c + g and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0057 + -98158?\nAnswer: -98157.9943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -0.5, -68, -1\/3, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 4*m + 25. Suppose 0*t - 2*t = -n - m, -t - n = -7. Let k(g) = -14*g + 21. Let l be k(1). Solve 2*c - l = 2*r - c, -t*r - 4 = -4*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1252791 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1240304442 - -2?\nAnswer: -1240304440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-4)*(-8)\/6. Let t(j) be the third derivative of j**4\/24 - j**3 + 7*j**2. Let m be t(10). Put -1, m, l in decreasing order.\nAnswer: m, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4345471?\nAnswer: 13, 19, 73, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 48655684600 to the nearest one million.\nAnswer: 48656000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**(8\/5))*o**(-1) assuming o is positive.\nAnswer: o**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 160672, 160680, 160690, 160702, 160716, 160732, 160750?\n\"Answer: s**2 + 5*s + 160666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.03159 + 0.03159. Suppose -5*k + 0*k - 4*s = -183, k - 4*s - 51 = 0. Is k greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73341*f**4 - 11136 wrt f?\nAnswer: -293364*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 5*n + 12 = 0. Factor -2\/5*r + 2\/5 - 2\/5*r**n + 2\/5*r**3.\nAnswer: 2*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6) - 14200005\/(-2). Suppose -x + h = u, -x + 10705569 = 2*u - 3494434. Round u to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/4, -1\/5, 2\/3, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 3, a: 1, j: 4, o: 4, f: 2}. Give prob of sequence jn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 122170000 rounded to the nearest 1000000?\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 466 (b) 0 (c) 9 (d) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280)*-1)\/sqrt(10).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 1:49 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 21 = -6*g. What is the units digit of (g\/(-2))\/((-8)\/(-1200))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/7 (b) 2\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20217009.\nAnswer: 3, 43, 53, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -548754, -548876, -548996, -549114, -549230, -549344?\nAnswer: -549456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1071\/5 or -213?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m + 0*m)*((-1 - 4 + 4)*(-2 + 0 - 1)*(16 - 39 - 81) - 3 - 1 + 6)*(-3*m - m + 2*m).\nAnswer: -620*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 51*h**2 - 416*h + 133. Calculate v(-36).\nAnswer: -4331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114132 - -1413433?\nAnswer: 1532005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(4) - -1*sqrt(6)*4)\/((sqrt(72)\/(sqrt(12)*-2))\/sqrt(3)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2abe8a (base 16) to base 10.\nAnswer: 2801290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*h - 11, -13*g + h + 13 = -15*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -1.4, -17\/5 in decreasing order.\nAnswer: -1.4, -3\/2, -17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1946 a factor of 88887442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 491, 736, 981, 1226?\nAnswer: 1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10 and 34\/191.\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - i - 3*i + 28, 0 = -c - 5*i + 13. Do c and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/31725 and -43\/4037488.\nAnswer: 2725304400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117 + 121. Solve 16 = -a*f + 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7184.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 382804 and 1339814?\nAnswer: 2679628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (2 + 4)) + (-48 - -39).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 2:31 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4\/3 (b) -2\/7 (c) -392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126.73 + -418.37. What is r rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -8*l. Suppose 16 = s + q, 4*s + l*q = -3*q + 60. Solve 3*j + s = 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5196.8 and 0.2.\nAnswer: 5197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 21*f**2 + 20*f + 5. Let m be g(-20). Solve -m*k - 5*j + 10 = 0, -4*k - 2*j - 17 = -3*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 38*t**2 - 30*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 250*n**2 - 106505*n + 2130.\nAnswer: 5*(n - 426)*(50*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1954, 7890, 17854, 31906, 50106, 72514, 99190, 130194?\nAnswer: 165586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-15506*(-31)\/62 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3518212, -3518223, -3518236, -3518251?\nAnswer: -3518268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 7691, -2, 2, -2\/9 in ascending order.\nAnswer: -2, -1\/2, -2\/9, 2, 7691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858370737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2543530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 10828056.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*y - 113720 = -534*y + 75*y - 14474 for y.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -243? (a) -6\/61883 (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2. Let w be (5 - 0)*((-2 - -5) + -2). Let t(x) = -12*x - 5. Let s(o) = 2*o + 1. Let v(h) = w*s(h) + t(h). Give f(v(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 2*v - 10. Let c(m) = 9*m**2 - m**v + 49 - 47 - 3*m. What are the prime factors of c(-3)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from vyxyuyevxvxgxyxygxee.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 3:37 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**2 + 826*o - 75. What is the ten thousands digit of p(45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k - 16 = 36*k - 2*o, 2*o = k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 751 + -742. Let i(m) be the second derivative of 0*m**3 + 1\/6*m**4 - 2\/5*m**5 - w*m + 0 + 0*m**2. What is the third derivative of i(t) wrt t?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 1296667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-8)*(-2 + 16). Calculate the greatest common factor of 168 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1493924 and 2096?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -2*m**7\/21 + 2*m**6\/5 - 3*m**5\/5 + m**4\/3 - 4*m. Factor i(b).\nAnswer: -4*b**2*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**2 - 4*a. Let c(m) = m + 4*m - 2*m - 11899*m**2 + 11902*m**2. Let v(t) = t**2 + 2*t. Let b(g) = 2*c(g) - 3*v(g). Give u(b(n)).\nAnswer: 45*n**4 - 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzjuzjjffzrfr. Give prob of sequence zjj.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -207.\nAnswer: 20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0387067 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b**2 + 7*b + 16. Suppose -p + 9 = -4*g - 20, -2*g = 3*p + 11. List the prime factors of c(g).\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from jjcjjjjjjjjjjjjjjjcj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 8*g + 7. Let s be q(-6). Let l be 44\/10 - 3\/s. Suppose 0 = -3*f - r + 2, 2*r - r = 5*f - 6. Calculate the highest common factor of f and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-224)\/140*15\/6. Let h(u) be the third derivative of u**5\/20 + u**4\/12 - 5*u**3\/6 + u**2. What is the remainder when h(l) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 21835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4837992 or 4837967?\nAnswer: 4837992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, 436, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -j - 3*l, -14 = -0*j + j - 5*l. Let y(f) = -2*f**3 + 10*f**2 + 14*f - 5. Let w be y(j). Is ((-100)\/w)\/((-2)\/7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Suppose 11 - o = 2*m. Suppose m*v = v. Let x(w) = -w**3 - w**2 + w. What is x(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1174219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 950912205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5849040316?\nAnswer: 2, 7, 208894297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 3*j + 1, 0 = -9382*j + 9378*j - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3*t)\/t*t\/(t*t*t*t**2)*(t*t*t**1)**(-9))**(2\/7) assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2856 + -2746. What is the greatest common divisor of 77 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4703 * -172\nAnswer: -808916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -345, 2, -2178, 11 in ascending order.\nAnswer: -2178, -345, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + m**2 - 5*m**2)*(-4*m + 0 + 0).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515.\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 4. Let z(p) be the first derivative of -5*p**2\/2 - 7*p - 1. Let v(u) = 7*k(u) - 4*z(u). Let w(q) = 10*q**2. What is v(w(b))?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 12*g**2 + 5*g - 175. What is the least common multiple of b(11) and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 3*b**2 + 0*b**3 - 2 + 3\/8*b**4 + 0*b. Let j(i) = i + 4*i - 4*i. What is c(j(u))?\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 100 - 100 + 3*v. Let z(j) = -j + 4*j - 5*j + 5*j. Determine q(z(x)).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 - 622*t\/5 + 1911.\nAnswer: -(t - 15)*(t + 637)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, -18, -10, 16, 66, 146, 262, 420?\n\"Answer: u**3 - 11*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66038 and 9256.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62589311 by 131.\nAnswer: -477781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 11*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-24)\/420*-20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 e when four letters picked without replacement from reeexreeexxe?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 12 = -4*c - 15, 2*c + o + 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3, 2*q + 2*z + 3*z - 13 = 0. What is the units digit of (-20)\/(-1) + 1\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -152279572, 0 in increasing order.\nAnswer: -152279572, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-325)\/100*-8.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 20782.251 microseconds?\nAnswer: 0.00034637085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106487 - 2*h + 6*h - 102388.\nAnswer: 4*h - 208875","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 + 129*y**2 + 246*y = 0. What is y?\nAnswer: -41, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 = 41. Let b = w + 17. What is the highest common factor of 12 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118890 + 253607. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3143 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-8)\/(-3))\/(-4))\/((-32)\/(-56)). Which is the closest to 0.1? (a) y (b) -1 (c) 0 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 117?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4)*w)**37\/(w*w**(-2\/5)*w*w*w**(1\/3)*w))**(-34\/7) assuming w is positive.\nAnswer: w**(-43163\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2 - 7. Suppose 4*u - 4 + 8 = 2*z, 4*u + 4 = -c*z. Let d(p) = -12*p**3 - 2*p**2 + 1. What is d(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2332381912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24030 + 222201?\nAnswer: 301231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bcb12 (base 16) to base 12.\nAnswer: -31332a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6c948760 + -3?\nAnswer: 6c94875c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3635 by 6.\nAnswer: -3635\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p - 6*p)*(-4 + 0 + 2) + (0 + 0 - 2*p)*(-8 + 3 - 3).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4263 - 4263.21082. What is j rounded to three decimal places?\nAnswer: -0.211","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29349859*w**4 - 8724378*w**2 wrt w?\nAnswer: -704396616*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h + 5*h + 2*h - 5 + 7*h. Is w(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2052\/9405)\/((-9)\/(-132)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**6\/15 - p**5\/2 - 11*p**4\/3 - 16*p**3\/3 + 269*p - 2. Factor s(g).\nAnswer: 2*g*(g - 8)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -248101.\nAnswer: 11\/248101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x + 25. Let h be i(-6). Let p be -5*-33*h\/5. What is the tens digit of 2156\/p + (-1)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = 3*n + 4, 3*l = -2*n + 24. Let u(x) = x**3 - 8*x**2 + 2*x - 12. Let w be u(l). Solve 5*m = 4*v - 4, -w*v - 2*m + 6*m = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3063 + -758?\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 18 = a, 458*a = -4*c + 454*a - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -34 - 119 - -69\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 - 2628511210?\nAnswer: -2628511209.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*r + 159, -2*r - 4*i + 93 = 33. Is 25 a factor of r + -1 - (-3)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6) - 1\/(30\/(-20))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a + 2*a. Let m be (-3)\/((-135)\/(-1115)) + (-2)\/9. Let u = a - m. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 8. Let i(f) = f + 7. Let x(w) = 6*i(w) - 5*m(w). Let j be x(3). Let z = 5.8359 + 1.1641. Put z, -5, j in descending order.\nAnswer: z, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -1029, -2319, -4115, -6411, -9201?\nAnswer: -12479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 21\/4)*(-20)\/(-15). Suppose 4*z + 4*i - 83560 = 0, z = 2*z + l*i - 20900. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199305\/1687 equal to -118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 229, 665, 1531, 2977, 5153, 8209, 12295?\nAnswer: 17561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(36\/(-150)) + (-1)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -149, -203, -293, -431, -629, -899?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2421 and -86.61?\nAnswer: 2334.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 316480487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 b when four letters picked without replacement from {j: 6, w: 1, b: 9, v: 1}.\nAnswer: 27\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c - 72. Let b be w(-9). Suppose -2*z + 5*z + 12 = b. Is (-4)\/10 + z + 17394\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 1 = 6*d. Let m(r) = -4*r**2 + 11*r + 17. Let a be m(d). Let c be 16\/56 - (-2 - a\/14). Sort -2, 3, 2, c in decreasing order.\nAnswer: 3, 2, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from ucfutafnfnuu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -235, -350, -467, -592, -731?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from uuuupppu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89413*r**3 + 178836*r**3 - 89415*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3758973 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*p = 90*p + 12. What is the closest to 0 in p, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 190\/76*(-6)\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 32*h - 36. Let t(o) = 19*o - 18. Let m(w) = 3*b(w) - 5*t(w). Let r(u) = -4*u**2. What is r(m(y))?\nAnswer: -4*y**2 + 144*y - 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -4, -0.5, -2\/11 in descending order.\nAnswer: -2\/11, -2\/7, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 971 + -1?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4\/3 + 4994*h**3 + 24479728*h**2 + 110633558698*h\/3 - 11688272704043 = 0.\nAnswer: -5083, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2072\/98 + 120\/140?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 at least as big as 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + j + 2 + 4*j - 2*j**5 + 31*j**4 + 15*j**5 - 31*j**4 - j**5 - 4*j**5 + j**5 + (-2*j**2 + j**2 + 2*j**2)*(0*j**3 - 5*j**3 + 4*j**3).\nAnswer: 8*j**5 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.45584 - 0.05156. Let o = v + 0.51. Round o to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5 = 17. Let z(g) = j*g**2 - 14987*g + 14987*g. Let f(m) = 5*m. Determine f(z(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*k + 6018 = -5305 + 7935 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -181*z - 11. Let v be j(-6). Suppose -4*i + y = -869, -2*i - 5*y - v = -7*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v + 78 = -3*g, 3*g + 73 = -2*v. Which is the third biggest value? (a) 2 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158*v + 163*v - 274*v to k + i*v and give i.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5379*i**2*q + 6*i**2 + 7*i*q + 7*i - 255*q wrt i.\nAnswer: -10758*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 16*w = 72. Calculate the highest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 3, 1\/2, -0.0026?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 594, 2584, 5982, 10794, 17026?\n\"Answer: j**3 + 698*j**2 - 111*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/9 + 10*v\/9 - 8\/3 = 0 for v.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*l - 4 + 67*l - 34*l)*(4 - 4 + 1).\nAnswer: l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -337 - -1665. Suppose -14*m + y = -3278. What are the prime factors of m?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(-4*t + t**2 + 4*t) + t**2 - 2*t**2 + 2*t**2 - t**2 + 4*t**2 + 0*t**2 - 6*t**2 + 3*t**2 - t**2)*(1 - 1 - t**2).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**3\/13 - 89392*a**2\/13 - 1788440*a\/13 - 8943200\/13 = 0?\nAnswer: -10, 44716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 981148907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*m = 0, -4*j = -0*j + 2*m. Suppose -14*i - i + 1860 = j. List the prime factors of i.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**2 + 3*a + 7. Let r be b(6). Let s = r - 161. What is the tens digit of 1*(-1)\/(-1)*2 + s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 39. What is the smallest common multiple of f and 7?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56478 divided by -3.\nAnswer: 18826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388, -624, -860, -1096?\nAnswer: -1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(1\/3)*s*s**2)**(2\/9)*(s\/s**(1\/3))**42*(s\/(s*s\/s**(-2)*s*s))\/s**(-4\/3) assuming s is positive.\nAnswer: s**(685\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**6\/120 - 7*q**5\/60 - 3*q**4\/8 + q**3 - 329*q**2. Suppose -w + 6 = -3*y + 34, 5*y - 36 = -w. What is k(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 2:54 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -334*c + 685*c - 320*c to b + y*c and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d + 7*d - 2*d + (-4 + 0 + 2)*(-d + d + 2*d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 7389590.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-285)\/(-3)*(-5)\/(-200)*8)\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -21. Suppose -n - 4*n + b = 0. Determine z, given that 12*z**3 + n*z**4 - z**5 - 3*z**3 - 10*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*x + 70 = 7*x, 0 = -5*k + 4*x - 89. Let i = 2.5 - 2.3. What is the nearest to k in -4, 0.4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 7:42 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7945 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1392 divided by 87?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*t + 128*t - 14*t**3 - 71*t.\nAnswer: -14*t**3 - 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.1 + -10.7. Which is the nearest to -1? (a) q (b) -8\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-4 + -1)\/(-5). Let h(t) = -t**2 - t + 2. Determine h(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)\/(l**(-6)*l*l)*l**(2\/3)\/(l\/l**(-1)*l)*(l\/(l\/l**(-1)*l))**(1\/5)*l**0*l*l*l**(-4) assuming l is positive.\nAnswer: l**(-71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56134673299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 554437420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 12. Let u be d(-9). Let p(w) = -w**3 - 3*w**2 - 2*w - 1. Let x be p(u). What is the second derivative of -4*m**x + 3*m + m + 2*m wrt m?\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -62*s - 34. Let n(t) = -31*t - 16. Let z(g) = 6*c(g) - 11*n(g). What is the units digit of z(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -320, -1212, -3642, -8378, -16188?\nAnswer: -27840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56.40852 - -0.94752. Let o = 56.2 + n. Round o to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*g + 35 = 5*n + 419*g, -5*n - g + 23 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1))**(-15)\/(u*u**(-1\/2))**44)**34)**10 assuming u is positive.\nAnswer: u**(-2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2. Let d(n) be the first derivative of 0*n + 0*n**2 - 8 - 4\/3*n**3. What is j(d(t))?\nAnswer: 80*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02004 and 204?\nAnswer: -4.08816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670935.4um to meters.\nAnswer: 0.6709354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2)*(56\/21 + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*r = 319*r - 4*o + 864213, 2*o = -5*r + 864209. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107 + (612\/45 + -12)\/(-8 + 1632\/200)\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 31*o**2 - 52*o - 148. Calculate the remainder when 364 is divided by f(-3).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 1:58 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 3:02 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001627269728 rounded to 6 decimal places?\nAnswer: 0.001627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(3*sqrt(16)\/sqrt(4) - sqrt(4)))\/(sqrt(35)\/(sqrt(112) - sqrt(112)*1 - sqrt(112))) + 2)**2.\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 230 or 2996\/13?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-15)*25\/(-10). Let g(v) = 9*v**2 - 15*v**3 - f*v**2 - v**3 + 12 + 5*v**2. Let u(m) = -m**3 + m**2 + 1. Determine g(j) - 12*u(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2192544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4*sqrt(6897))\/sqrt(3))**2*2.\nAnswer: 662112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(3*d + 4*d - 4*d) + 2*d - 3*d - d - 1 + 1 + 2*d - 3 + 3 + d + (0*d - 3*d + 2*d)*(5 - 4 - 3) - d + 0*d + 2*d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 372 - 375. Sort i, -0.01, 1.\nAnswer: i, -0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) - (-40)\/24. Suppose -z = -1 + m. Let h be (-5)\/2*1*(-4)\/(-5). Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*a + 32 = 6*j - 205*a, -5*j + 2 = -14*j + 5*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123215?\nAnswer: 5, 19, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8418720.\nAnswer: 2, 3, 5, 17539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -23, 10, -1\/39?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 3*m**8\/56 + 709*m**5\/20 + 111*m**4\/2 - 1536*m. What is the third derivative of l(x) wrt x?\nAnswer: 360*x**3 + 4254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11682150 divided by -6\nAnswer: 1947025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 15 = -5*s, -6*s + 5*x - 10461 + 10441 = -3*s - 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 5. Let k be j(3). Suppose -358 - 980 = -2*y - 5*g, 1354 = k*y + g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/21 + 16*g**3\/21 - 2*g**2 - 5*g - 7. Factor w(z).\nAnswer: -4*(z - 7)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222344?\nAnswer: 2, 27793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 11 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23763653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80926 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 times 199?\nAnswer: 10149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from emmememmemmemmmmmm.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.87553 * 2.5.\nAnswer: -4.688825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqfq when four letters picked without replacement from fqqqqqfq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539*m**3 + 206*m**3 + 170*m**3 + 164*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11089\/70238 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 261 = 3*a + 47, 4*j = a + 161. What is the remainder when j is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 - 11*y - 10. What is j(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 divided by -835827?\nAnswer: -61\/278609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3\/4 - 14715*s**2\/4 + 22059*s\/2 = 0?\nAnswer: 0, 3, 4902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -10 - (0 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2186679 = -15864*w - 1087*w for w.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 11*l**5\/5 - 10*l**2 - 14. Find the second derivative of o(h) wrt h.\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from ioiooooooooioooooo.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 106821 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 18170*k + 40 = 18156*k, 8 = 3*d + 2*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*n = 16, 0 = -4*m + 2*m + 3*n + 12. Suppose 0 = i - m, 4*i = 5*j + 13082 - 52105. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1688*q**3 + 2426*q**3 - 743*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5067.068 grams in kilograms?\nAnswer: 5.067068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/19 >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232989?\nAnswer: 3, 37, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**1)\/n)\/n*n*n)\/((n\/(n*n\/n**(-15\/7)))\/n) assuming n is positive.\nAnswer: n**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 3*w**3\/4 + 237*w**2\/8 + 39*w\/2 + 6729. Factor f(q).\nAnswer: 3*(q + 26)*(3*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252997.\nAnswer: 431, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 + 3*w**2 + 3*w**5 - 10*w**5 + (56*w + 76*w - 78*w)*(-3*w**4 + 4*w**4 - 3*w**4).\nAnswer: -115*w**5 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 12) to base 8.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6505945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 132. Let o = g - -133. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*s**3 - 3 + 2*s - 2 + 2*s**2 - 5*s**3 + 4*s**3 + 8 as z*s**2 + p + k*s + f*s**3 and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51232 and 3202?\nAnswer: 51232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y**2. Let w(g) = -9*g - 2. Let i(x) = -40*x - 9. Let f(c) = 4*i(c) - 18*w(c). What is p(f(v))?\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348, -708, -1068, -1428, -1788, -2148?\nAnswer: -2508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v - 12*v + 31*v + 2 - 14*v as n*v + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 15*u + 29. Let m be z(13). Let g = 139 + -46. Is 1*(g + m + -3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -645, -2593, -5833, -10359, -16165, -23245, -31593, -41203?\nAnswer: -52069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/(o*o*o\/(o**(-3\/4)*o))*o**(4\/5)*o*o*o**(-6)*o)\/((o**1)**(-3\/2)\/(o**(-3\/5)*o\/((o*(o\/(o\/(o**4*o)*o))\/o)\/o))) assuming o is positive.\nAnswer: o**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 x when three letters picked without replacement from xlpeepe?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55 + -80?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 - 9*g**2 + 22*g. Let a(j) be the first derivative of -j**4\/2 + 4*j**3\/3 - 11*j**2\/2 - 1584. Give -9*a(h) - 4*n(h).\nAnswer: 2*h**3 + 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)\/(sqrt(8) + (sqrt(8) - sqrt(40)\/sqrt(80) - sqrt(8) - sqrt(8))))\/(2*sqrt(72)*-6) + -2.\nAnswer: -2 + sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3736 - -105?\nAnswer: 3842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 6*t + 2. Let z be m(-6). Let u be z*(0 - 2\/(-4)). Let g = u + 10. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 281508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + -0.8. Let r = -90545 + 90546. Which is the nearest to r? (a) -5\/2 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-1\/4))**41\/(w**(-1))**(-8\/5))**(1\/24))**47 assuming w is positive.\nAnswer: w**(65941\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -1 (b) -0.77 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 11. Let v = z + -3. Which is the third smallest value? (a) 0 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -19*x + 118. Let z be s(6). Solve 4*c - 3 = 5*l, 0 = -4*l - z*c - 8 + 20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 370 + -5. Suppose -25 = 4*g - y. Calculate the common denominator of 23\/14 and -3 + (-3)\/12*g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.52764812\nAnswer: -2.6382406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 0*l - 2475485*l**3 + 2485755*l**3.\nAnswer: 10270*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l**4 - 48*l + 1587?\nAnswer: 12*l**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22340443304 + 0?\nAnswer: 22340443304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2920 and 379965?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 4. Let r be g(-4). Suppose r = -3*u + 11 + 37. Suppose i + u = 3*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118 - 118 - 8*v**2)*(-1 + 1 - 1)*(3*v - 5 + 5).\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + -4 + sqrt(19))**2.\nAnswer: -14*sqrt(19) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*u + 1 + 36*u - 499535*u**2 - 73*u - 271046*u**2.\nAnswer: -770581*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 509, 4419, 10929, 20039?\n\"Answer: 1300*o**2 + 10*o - 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 573633.9 years?\nAnswer: 5736.339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 9, 2*r - 4 - 17 = 5*h. Let y = h - -5. What is the hundreds digit of (35*-5)\/(y\/(-4)*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 + 3*u**3 - 104 + 640.\nAnswer: 3*u**3 + 417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 6*r = 48. What is the closest to r in -1, 1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 721*y**3 - 17*y**2 + 850*y + 13.\nAnswer: 4326*y - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-847)\/2057*30\/(-189) and 87\/544.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(2\/4)\/((-2)\/1). Solve -3*z + 5*g = -28, z - 11 = -a*z + 2*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -652 + 649. Which is the smallest value? (a) -2 (b) -24 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*z + 31871 + 139777. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cidbibon. What is prob of sequence nob?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (57 + (-33 - 24)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -3. Is (76\/x)\/(4\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**3 - 92*v**2 - 36*v. Let j be o(-18). Let q(n) = n - 1. Let f(z) = -z**2 - 17. Let u(b) = f(b) - q(b). Determine u(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 4557618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1416 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -22. Let z = h - -25. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 divided by -399?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 + -13. Let i = f + -57. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -39958378?\nAnswer: 79916756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 7, n: 5, w: 4}. What is prob of sequence np?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 + 433505?\nAnswer: 434024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 3*l + 27*l - 1200, -2*b + 183*l - 186*l = -120 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 x when three letters picked without replacement from {z: 2, n: 2, d: 1, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 1:00 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 665 - 675 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 299 + -424. Let q be (12\/(-10))\/(10\/j). Suppose 2*h + 3*h = -q. What is the second biggest value in h, 2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406502 (base 9) to base 15\nAnswer: -4b602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42069739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -29, 2\/7, -1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 23 = 7*y, 0 = -j - 11*y + 21*y - 14*y + 67 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 + 8 - (-1 + 1). Let x(b) = b**2 + 3*b + 2. Let o be x(i). Solve -16 = -2*s - o*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 72\/49 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 - 6.2.\nAnswer: 76.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b = -5. Let i = b - 1. Let x(h) = h + 2. What are the prime factors of x(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 726 - 724. Which is the nearest to 0? (a) 0.5 (b) -4\/3 (c) w (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 20 = -8*q. Solve r + 5*c - 13 = 0, -4*r + 2*c = -2*c - q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10213*i**5 - i**3 - 16*i**2 - 3*i - 52 wrt i?\nAnswer: 612780*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -658356*c**2 + 23716*c + 14 wrt c?\nAnswer: -1316712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -3, 321, 3\/2, 7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 - -30.89. Let s = 4350.497786 - 4381.49778581. Let w = u + s. Round w to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23586766 by -1.\nAnswer: -23586766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sszvzdki. What is prob of sequence zvd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 15)\/2 - 0. Let k = v + 11. Solve 2*t - 1 = -k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 7:29 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.09 (b) -0.04 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4344405 and 27885.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 30920\nAnswer: -185520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -349*s + 4. Let p(r) = -r**2 + 8*r - 12. Let w be p(8). Let x be 25\/(-6) - 2\/w. Let d be b(x). Round d to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 8*o + 1. Let v(r) = 3*r**2 - 7*r. Let d(s) = -5*a(s) + 6*v(s). Is d(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*12\/(-2944))\/((-123)\/(-164))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/3 - 2 - -1. Calculate the greatest common factor of p and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, t: 7, r: 1, z: 2}. Give prob of picking 1 l, 2 r, and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -24, -31, -52, -93, -160, -259, -396?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2762*a**3 + 5*a**2 + 5. Let t(v) = -2749*v**3 + 6*v**2 + 6. What is -6*l(p) + 5*t(p)?\nAnswer: 2827*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -n - 38. Let w = -96 - n. Let b = 17 + -12. Put b, 4, w in decreasing order.\nAnswer: b, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2 - 43*c - 3 to the form x + f*c and give f.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 6104?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/8 and 537\/(-60) + 0 + 4 + 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 1976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 7. Let a be g(-8). Let l be (0 - 0)\/(3 + a). What are the prime factors of -3*(2 - l)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 31 + 38 + 97 + 127*c - 76*c. What is the hundreds digit of y(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98806?\nAnswer: 2, 127, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (45 - (42 + 31))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -17*f + 6. Suppose 7*y - 12*y + 10 = 0. Let u be (-9)\/(-18) - (-15)\/y. Solve 2*z = -u, 2*z + f = k - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - 111?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r - 2. Let j(x) = x**3 + 3*x**2 - 2. Let c be j(r). Let a = -4\/201 + -302\/5025. What is the third biggest value in c, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-56) + (1 - 114\/(-8)). Let z be (a*(-12)\/(-63))\/((-2)\/(-7)). Solve 2*l - 7*l = z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) + 60\/14. Suppose o + 2*k = -o + 34, u*o - 4*k - 28 = 0. Calculate the remainder when 21 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 76477*f**2 - 6276157*f + 128695679.\nAnswer: (f - 41)**2*(f + 76559)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 = 68*n - 73*n - 20*f, 2*f = n + 37 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1624 + 42 = 7*k. Let q = k + -109. Suppose 3*a - 6*g - 164 = -10*g, -3*a + 3*g = -q. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -1, -2\/35, 6?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/3)\/((-128)\/357312)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50785*k - 101552*k + 50762*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/28 and -131\/220836?\nAnswer: 220836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 189 + 210. Let s = b - -160. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150 * -0.3\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -33784459 and -33784459 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952275761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-724*m**2 - m**3 - 33 + 724*m**2)*(1 + 0 - 2 - 1 + 4 - 2 + (3 + 2 - 6)*(1 - 2 + 3) + 0 + 2 - 1).\nAnswer: m**3 + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1705110, 1705144, 1705200, 1705278, 1705378?\nAnswer: 1705500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.115 + -0.015. Let h = o + 0.9. Let l = 2 - -3. Which is the closest to 3? (a) l (b) h (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -21*b. Let w be y(-7). Suppose -3*j + w = -21. Let v = 42 + -34. Calculate the greatest common factor of v and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 22*n - 6*n**2 + 0*n**5 + 0*n**4 + 0 + 0*n**6 - 197\/42*n**7 - 7\/6*n**3. What is the second derivative of x(u) wrt u?\nAnswer: -3940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 449995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4 + 637*o**3 + 12365*o**2 + 64863*o + 53136 = 0. What is o?\nAnswer: -9, -1, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 715943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) -2\/13 (c) -18 (d) 0.0117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174 - -309. Suppose -f + 207 = 3*y, -v = -2*y + f - 2. Let x(h) = -2*h + 5. Calculate the remainder when y is divided by x(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 7, 0.\nAnswer: 0, 7, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 4*d + 25. Suppose 0 = 2*s + 3*m - 6 - 61, d*s - 161 = -m. Suppose -2*l + s = 10. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490705 and 103615?\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3\/5 (b) -0.2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.43 (c) 14 (d) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = o - 3*f - 7, -2*f = 5*o - 23 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -310*d + 1613. What is the remainder when m(0) is divided by 108?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 822 - 688. What is the greatest common divisor of 27604 and x?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332540062007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -87270*r**3 + 166*r**2 + 158*r - 7. What are the prime factors of b(-1)?\nAnswer: 197, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72290 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 p = 275 + -317.5. Let c = -42.4158 - p. Round c to 3 decimal places.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 34.5\nAnswer: -3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 195721073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/672 and -1\/384?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -2235.13\nAnswer: 11175.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18334034 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2.0000016. What is b rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 901 - 812. Calculate the remainder when 187 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k + 9*k + 4*k + (-28 - 28*k + 28)*(3 + 1 - 6) - 1 - k + 1.\nAnswer: 62*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*t + 10 = 0, 4*s - 4*t - 66 - 34 = 0. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 255.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 577882 + -48541267\/84. Let c = -69\/7 + j. Sort 5, -1\/7, c in ascending order.\nAnswer: -1\/7, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -14. Let a be -2 + -1 - (-3 - -2). Let n be a + -5997 + v + 0. Round n to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 566074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033282 to 4 decimal places.\nAnswer: -0.0333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151 - 153. What is the smallest common multiple of 80 and 2\/(-2) - -1*(-98)\/l?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t - 10. Let c be h(-3). Suppose 4*r = -1 + 13. Factor -j**4 - r*j**3 + 26 + j**c - 26 + 3*j.\nAnswer: -j*(j - 1)*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2, 5, 2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -14 - (3 - 10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, 25, 81?\n\"Answer: 56*z - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1937366, 1937368, 1937370, 1937372, 1937374, 1937376?\n\"Answer: 2*t + 1937364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:01 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdtq when four letters picked without replacement from {d: 1, q: 1, t: 3, b: 4, o: 2, l: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2711*l + 2772 = -2700*l. What is the least common multiple of 132 and l?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 19 = -4. Let c(h) = h**2 - 2*h - 1. Let g be c(2). Sort i, g, -5 in decreasing order.\nAnswer: i, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4370161743 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 12 - 0. Let i be (-112199996)\/u + (-8)\/12. What is i rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (84\/5)\/(12\/270)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6495821686 to the power of 1\/2, to the nearest integer?\nAnswer: 80597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/30 and -7\/1356?\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert b3b (base 15) to base 14.\nAnswer: ccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 3*j - 2. Let k(z) = -41*z**3 + z**2 + 7*z - 3. Let o be k(4). What is the remainder when o\/(-49) - (-4)\/14 is divided by u(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 7:25 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 divided by -6?\nAnswer: -145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/216 and 29\/40?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -5*a**2\/2 + 82*a - 38. Let k be c(16). Solve 3*r = -11 + k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide (1\/((-1617)\/(-805) + -2))\/((-1)\/(-22))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 9. Let i = -1 - 8. What are the prime factors of m(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311 = 5*k - 361 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3954, -8981, -15084, -22263, -30518, -39849?\nAnswer: -50256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.291 - 0.009. What is the closest to -2\/3 in -9\/5, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*h + 25 - 35 = 0, -2*h = l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -96, -93, -90?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 18}. Give prob of sequence ttct.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 159 (base 15) to base 10\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00068024241 rounded to six dps?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**2 + 1. Let u(y) = -y - 2. Let k be u(-4). Let d(m) = -3*m - m + k*m. What is g(d(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*x - 1 = 0, 1 = 2*c + x - 6. Let l be (2 + 3)*3 - c. Suppose -m + 0*o + l = -o, 4*m - 2*o = 38. Solve 2*y - 4 = -3*u, y + 2*u - m*u = 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 3*c - 2*o, -5*c + 3*o - 77 = -2. Let t be (8\/c*-51)\/(-1). Let z = t - -38. Sort 3, 0, z in ascending order.\nAnswer: 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1763 by 846.\nAnswer: -1763\/846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348772 and 213188?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8858287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 751968 to the power of 1\/2, to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(3*10\/(-15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + 3*c**5 + 3*c**3 - 5*c**5 + c**4 + c**5 - c**4 + 3*c**2 - 3*c**2 + c**5 + (-c**2 + c**2 + c**2)*(2*c**3 - 2 + 2) + c**5 + 2*c**5 - c**5.\nAnswer: 4*c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1819598.3*-2\nAnswer: -3639196.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.17163967 to the nearest integer.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1898 - -1920. Solve -3*o - 21*y = -20*y + 17, 4*o = -y - n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**4 - 12 + 4 + 7 + 3*s + 3 as y*s**4 + n*s + a + q*s**3 + w*s**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 10, -5*c - 10 - 9 = 2*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/128 and (-24)\/96 + (-18)\/40.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268189063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -31. Let v be (((-190)\/38)\/((-5)\/6))\/(-2). Is v + 10128\/k + 4\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.357 less than or equal to -5199.92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 - 42?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-95760)*38*(-4)\/(-2)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/3)*c)**34 assuming c is positive.\nAnswer: c**(272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29225 and 41300?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/22)\/s*s*s\/(s\/s**10)*s*s\/(s**(-10)\/s)*s**(-21) assuming s is positive.\nAnswer: s**(47\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24444, 497, -5?\nAnswer: 497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29, -65, -109, -161, -221, -289?\n\"Answer: -4*t**2 - 24*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9 - 3. Suppose 2*r - 528 = 6*r. Let p be (-3)\/(-10)*(-110)\/r. What is the nearest to c in -2, -1\/4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/2 of a year?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3 + 5. Let m(k) = -k**3 - 1. Let f(s) = -16*s**3 - 16. Let y(q) = i*m(q) - f(q). Find the first derivative of y(l) wrt l.\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62.9 times 25.619\nAnswer: 1611.4351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 2*a**2 + 5*a + 6. What are the prime factors of f(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*i = 1465, t + 21 - 314 = -3*i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - -44 - -41 - 38?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 831 and 22254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 + 71 - (-5 + 0)) + (1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 30. Give l(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -331095*s**4 + 7*s**3 - 21516*s**2 + s + 5.\nAnswer: -7946280*s + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 1)*4\/(-8). Suppose 4*o - 10 = 2, b = -n - 5*o + 9. Let j(f) = -f - 6. Let v be j(n). Which is greater: v or -3\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2830, 2610, 2440, 2326, 2274?\n\"Answer: c**3 + 19*c**2 - 284*c + 3094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10046\/173 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 + (2 - 5) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/10, -28, -3\/7, -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - f + 1. Let h be r(-2). Suppose 61 = -2*s - 627. Let p = 2404\/7 + s. Put -3, p, h in decreasing order.\nAnswer: p, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8297\/4 + 2074. Let x = -0.12 - -0.22. What is the second smallest value in 7, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -135 - -76?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*f*w**6 - 2*f*w - 2*w**6 - 1650*w**2 wrt w.\nAnswer: -4320*f*w**3 - 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 29 - 26 + 4)*(-26*a**4 + 3*a - 3*a).\nAnswer: 1612*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-10))\/((-4)\/(-20)). Solve -4*q + 13 = -3*o - l, 5 = -o - 3*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.7 and 188420.50667?\nAnswer: 188416.80667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Suppose 11 = -o + 13. Let j(l) be the third derivative of 0*l**4 + 0*l + 11\/60*l**5 + 0*l**3 + 0 + l**o. Determine g(j(f)).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/((f\/f**6)\/f))*f)\/f**1*(f\/f**(-1\/3))**(-20) assuming f is positive.\nAnswer: f**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, f: 1}. Give prob of sequence fxf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d - 12 = 0. Let f = 0 + d. Which is the closest to 2? (a) f (b) -1\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1, 1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8997, 71212, 240107, 569022, 1111297, 1920272?\n\"Answer: 8890*a**3 - 15*a + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/34 and 125\/8062104.\nAnswer: 137055768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -31, -80, -153, -250, -371, -516?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h)\/(h\/(h\/(h*h\/h**(-5)))*h)*(h*h**(-3\/2)*h)\/h**(2\/13))**(-11) assuming h is positive.\nAnswer: h**(2189\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49300 and 72250?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 14) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 + 248\/3. Sort d, -77, -3\/7 in decreasing order.\nAnswer: d, -3\/7, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -5 + sqrt(832) + -1 + -2 - (sqrt(832) + (sqrt(832) - 6*(sqrt(832)*-1)**2))*4) + -1.\nAnswer: -48*sqrt(13) + 19959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -4 + 0*n - 2*n**2 + 0*n**3 + 1\/60*n**5 + 7\/24*n**4. Factor l(t).\nAnswer: t*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4575968 decades to millennia.\nAnswer: 0.004575968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/2 + 8\/(-8)*1. Suppose 4*p + s = 14, -f*p - 2*s + 25 = 9. Put 15, -1, -2, p in decreasing order.\nAnswer: 15, p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/17, 0.15, 63?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 208, 58, -21 in descending order.\nAnswer: 208, 58, 3, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 6 = -237*j + 239*j, 3*k + 6 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.266 and 0.1.\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r + 8*r - 10*r.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 822283 and 2519?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -14*l + 30. Solve -l*y = -7*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -293033 - -293276.938. Let b = r + -244. Round b to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.1732 and -0.1.\nAnswer: 3.0732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26470079 is divided by 4040.\nAnswer: 4039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109893, 439626, 989183, 1758564, 2747769?\nAnswer: 3956798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 8*f - 40. Calculate m(-15).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -137*z + 459 + 235 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131\/3 - -44. Let t = -1150\/7 - -164. What is the closest to t in b, 2, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*y**2 + 2\/9*y**3 - 6*y + 0.\nAnswer: 2*y*(y - 9)*(y + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 1523292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2068152 and 7752?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14187763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -723.\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23188357 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k. Let y(n) = -2*n. Let q(f) = -5*f. Let j(x) = 3*q(x) - 8*y(x). Determine j(t(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254, 19, 1, 21, -1, 4, -4 in decreasing order.\nAnswer: 21, 19, 4, 1, -1, -4, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190700 and 143025?\nAnswer: 572100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -1) + -200 + 214?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2663, -2691, -2767, -2915, -3159, -3523?\nAnswer: -4031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2512315 (base 7) in base 3?\nAnswer: -121101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -1\/5, 4, -526\/23, -3 in decreasing order.\nAnswer: 4, -1\/5, -4\/9, -3, -526\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 43 = 4*k, -2*k - 5*t = -0*t - 39. Let a(o) = o**3 - 14*o**2 + 38*o - 53. What is the least common multiple of a(11) and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 3366018?\nAnswer: 3366018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Let j(z) = z**3 - z + 8. Let p be j(m). Let c(v) = 13*v - 1. Let t be c(5). Calculate the highest common factor of t and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 239a8 + 0?\nAnswer: 239a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 - 112. Let l be 8\/w - 3 - 11\/7. What is the closest to l in 0.1, 0, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -491 + 2101. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -1097 - 2687. Suppose -f = -3*q - q + c, -437 = -5*q + 3*c. Suppose -5*x = 5 - q. Calculate the least common multiple of 22 and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dcb4 - -41?\nAnswer: dd15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 4 + 3)*(21 - 21 + 15*f)*(f + 2*f + 0*f) + 4*f**2 - f**2 - 2*f**2 to the form i*f**2 + s + y*f and give i.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14642 divided by 3?\nAnswer: -14642\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlxxxlll. What is prob of sequence lllx?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1465 + 1463.9896. Let i = 0.556 + b. What is i rounded to two dps?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 36. Suppose 0*u + r*u + 3*q = -9, u = -4*q - 15. Solve 2*w - 3*c - 14 = -4, 5*w + u = c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 30?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/58608477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 6*k**2 + 2. Let x be h(6). Does 21 divide 53 + -1 - (-2 + x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125347758023\/2684 + -46701854. Let o = -1\/671 + t. Calculate the common denominator of 79\/34 and o.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 284. Is x greater than or equal to -280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -299, -1218, -2743, -4868, -7587, -10894, -14783, -19248?\n\"Answer: d**3 - 309*d**2 + d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -18.4. Let a = s + 1.6. What is the smallest value in a, -2\/11, -1\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959284269.\nAnswer: 3, 35529047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -4. Let o(h) = h**2 + 6*h - 4. Let p be o(g). Find the second derivative of -3*a**3 - a**3 + 7*a**p - 3*a wrt a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102527 divided by -17?\nAnswer: 6031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 38*o - 4 - 16*o - 26*o - 10*o - 2.\nAnswer: -14*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*a = 4*i + 3, 5 = -5*a + 3*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/149256 and 7\/684.\nAnswer: 2835864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 4*g**2 - 9*g - 13. Let x be (564\/(-329))\/((-2)\/7). Give u(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 2*o + 2. Suppose 2*v - 4*v = -5*a + 50, 2*v - 14 = -3*a. What is the lowest common multiple of a and w(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2736 divide 8619894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 2*x**2 - 2*x + 1. Suppose 2*f = -2 - 6. Let u be m(f). Calculate the greatest common factor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 51?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in months?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 33*g**3 - 24*g**2 + 204*g - 74. What is the ten thousands digit of l(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - d**5 + 2*d**5 + (3*d**2 - 2*d**2 - 4*d**2)*(d - d + 2*d**3) - d**5 + d - d + (2*d**4 - 5*d**4 + 4*d**4)*(-14*d - 60 + 60).\nAnswer: -19*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(39\/52)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 125024.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 449442096*v - 12624887353554576.\nAnswer: -4*(v + 56180262)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302298*w**2 - 151156*w**2 - 151138*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2864 - 3063. What is the second smallest value in c, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019236 rounded to four dps?\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/(6\/(-104)). Let m be (-3)\/(2 + (-55)\/h). Let g = m + -13. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*c - 9533 = 1576 - 2674. What is the greatest common factor of 3535 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 527*b + 530*b = -64063, -b = 4*d - 64059. Does 16016 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2. Let f(b) = 127*b - 127*b - b**2. Calculate t(f(h)).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 125, -3, 1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 152, 445, 726, 989, 1228, 1437, 1610?\n\"Answer: -g**3 + 300*g - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 42 - 150. Let j(d) be the third derivative of -7*d**4\/8 - 2*d**3 + 2*d**2. Let i be j(-4). Calculate the highest common divisor of m and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 487981 and 4329?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 34752922 and 7.66.\nAnswer: 34752929.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 148 = 3*c - 4*z, -5*z + 74 = 2*c. Let w = -25 + c. What is the remainder when 19 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -28, 129, 390?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 9. Suppose -18 = -3*i - q*i. Is 4\/i - (-169)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125738*p*x**3 + 10*x**3 + 10460*x**2 wrt p.\nAnswer: 125738*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -4 (c) -2\/5 (d) -1\/19 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75955 divided by -55.\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*k - 460 = -i, 4*i = -k + 906. Suppose -5*f + i = 4*z - 96, 0 = -4*f + 12. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*t**3*z - 652197003*t**3 - 19313327*t**2*z wrt z?\nAnswer: -10*t**3 - 19313327*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Let x = 6383\/9 + -709. What is the closest to i in 2, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2303.2548 microseconds?\nAnswer: 0.000000639793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3168 and 177696?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194722067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -43162659.6 rounded to the nearest 10000?\nAnswer: -43160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 4, -54?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 0, 4*h - 5*k = 7*h - 37488. What are the prime factors of h?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 74 - 95 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11106107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1192.8757 - -1193. What is b rounded to 3 decimal places?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*d - 3. Let r = d + 6. Factor 2*q**3 - 4*q**4 + 3*q**2 - 4*q**r + 2*q + q**2.\nAnswer: -2*q*(q - 1)*(q + 1)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205379 + 598494. Let f = -513873 + w. Round f to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2. Let n(z) = 129*z - 4. Let y(m) = -8256*m + 258. Let p(j) = 129*n(j) + 2*y(j). Calculate p(d(c)).\nAnswer: -129*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 22903 = 2*g, 2*g = 3*r + 19428 + 3481. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -14. Let c(i) = -2*i + 3 + 5*i - 2*i - p*i. List the prime factors of c(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161 - -627. Let s = t + -70. Is s a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2867 = 2519. Solve 25 = 16*o - c for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - -3. Is a a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 - -12) - -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 + 6*p**2 - 2*p. Let c(v) = v**3 + 3*v**2 + v - 1. Let x be 6\/9 + (-22)\/6. Let a be c(x). Let y(r) = -r**3 - r**2. Calculate a*y(f) - o(f).\nAnswer: f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 211399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15140 divided by 757.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014736148713 rounded to 6 dps?\nAnswer: 0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 212*d**3 + d - 1. Let j be u(1). What is the highest common factor of 53 and j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fddd when four letters picked without replacement from {f: 4, d: 16}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {t: 1, z: 2, m: 1, s: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -6. Suppose -o = -3*q + 4, -2*o = -5*o + f*q + 2. Do o and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 361 = -23*l + 5*y, -4*l - 3*y + 11 = -0*l + 59 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 186070 (b) 21 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiorieeqoiioiioiiiee. Give prob of sequence or.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-3)\/12)\/(2\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343 = -4*r + 355 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -545\/4, 3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9255 + 1257 = 0. Suppose 5*a + 4*z = 4375, -29*a - i = -32*a - 3*z. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-7 - -3) + 8 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hclpwwcpcwwcrl. What is prob of picking 2 p and 1 r?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 692714?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from {l: 2, t: 3, e: 8, h: 3, v: 1, i: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 362240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 422766 by -27.\nAnswer: -15658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = 27*t - 129 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/53872 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7942*i + 18 = -7943*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37487 at least 37487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 16*f - 4*m - 53, 0 = 4*f - 5*m - 69. Suppose f*b = 12811 - 2592. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 11 - 5. Let p(t) = 5*t**3 + 5*t**2 - 14*t. Let x(f) = -2*f**3 - 2*f**2 + 5*f. Determine j*p(a) + 11*x(a).\nAnswer: -2*a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tete when four letters picked without replacement from {e: 5, t: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -41\/838?\nAnswer: -41\/838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -11. Suppose 18 = q*b + 3. Suppose -2*y - b*i + 0 = 4, 16 = 3*y + 2*i. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4 = -4*n - 5*w, 5*n = -5*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + 5 + -13 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 4*g + 4*g + (1 + 1 - 4)*(2*g + 0 + 0) - 4*g + 0*g + 3*g + 3*g + 2*g - 4*g)*(-3*g - 2*g + 2*g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 213786737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**2 - 1200128*l + 9600768 = 0.\nAnswer: 8, 300024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -30, -32, -34, -36, -38?\n\"Answer: -2*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 40*f + 180. What is the remainder when a(-21) is divided by 106?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03695 - 471.26305. Let x = -496 - i. Let s = x - -22. Is 0.3 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -494305394732?\nAnswer: -494305394727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(5\/4)\/s)**47\/(s\/((s\/(s*s\/s**27))\/s))**6)**(19\/2) assuming s is positive.\nAnswer: s**(15409\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -718.710009.\nAnswer: -714.710009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3254551 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126 - -10.454.\nAnswer: -115.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 + 8 - 11*l**2 + 2*l**3 + l - 2*l**2 + 5*l**2. Let y be d(-8). Solve y = -7*k + 3*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 696 + -983. Let c = 194 + i. Let d = c + 100.6. Round d to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298083 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Let f(l) = 16*l**2 - 5*l - 5. Calculate the remainder when f(-2) is divided by (t - 145\/25)\/(2\/(-10)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37077120 divided by 1440?\nAnswer: 25748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 3*o**2 - 3*o - 3. Let c be w(-3). Suppose -c*b + 11*b = 5. Is b < -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 11*c + 29. Let f be z(13). Let g = 7 - f. Suppose 2*k - 3*u - 112 = 29, -2*k + 144 = -g*u. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -22. Which is the second biggest value? (a) 0.1 (b) -1\/8 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -245*n**2 + 41*n + 6 wrt n?\nAnswer: -490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(-2)\/10 + 10\/5. Let u(f) be the second derivative of -1\/30*f**4 + 2\/5*f**2 - 1\/15*f**a + 0 - f. Determine o so that u(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1231*u**3*w + 17*u**3 + 46 wrt w?\nAnswer: -1231*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -620, -614, -604, -590?\n\"Answer: 2*x**2 - 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvqqhviq. Give prob of sequence hiv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3070 + -2123. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26221 + -26225. Let u = -2\/2215 + -276871\/4430. Let b = u - -1623\/26. Is b at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -17*g**5\/15 + g**4\/6 - 8*g**3\/3 - 9*g**2 - 16. Find the second derivative of y(c) wrt c.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6007929 and -20868.\nAnswer: -6028797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/840 and 67\/6405.\nAnswer: 51240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20119 and -29444060867?\nAnswer: 29444040748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3500)*1)\/(sqrt(28)\/sqrt(4)*-2)*4)**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(21\/(-6)) + 0\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1528078, -1527937, -1527784, -1527613, -1527418, -1527193, -1526932, -1526629?\nAnswer: -1526278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 1. Let i(d) = 2*d. Let s(p) = 2*f(p) - 3*i(p). Let n(z) = 2*z - 2. Determine 6*n(x) - 5*s(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqwmwbwlnnnw. What is prob of picking 4 w?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4\/3 - 356*d**3\/3 - 10561*d**2 + 356*d\/3 + 31684\/3 = 0?\nAnswer: -178, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433731 = 2336*s - 9773*s + 75374 - 10826 for s.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 368089888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -12\/4847 and 108 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jssjjj?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 6*v + 128. Put 4, -2, v, 0 in increasing order.\nAnswer: -2, 0, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.1442 - 13.5442. Suppose 4*k + 0*h + 2*h = -24, 5*k + h + 36 = 0. Which is the second biggest value? (a) -2\/15 (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 787 + 200 = 0. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 859920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**3 + 64*j**2 - 64*j**2.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (266\/57)\/((-1)\/9). What is the units digit of 39\/(-2)*28\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3346721*n**2 + 3662802*n?\nAnswer: 6693442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 68*z + 758. Calculate q(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -782 + 775.81. Let n = l + 6.49. Which is the second biggest value? (a) -31 (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 3:18 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, p: 1, w: 4, v: 2}. Give prob of sequence wv.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148597497*o**4 - 536*o - 69643 wrt o?\nAnswer: -1783169964*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 4, 5, -3.\nAnswer: -7, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -350 + 348. Let b be ((-124)\/(-2945))\/(j\/(-5)). Let b*o**4 - 2\/19 + 4\/19*o**3 + 0*o**2 - 4\/19*o = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -386 + 403. Suppose 5*a - 33 = -4*l, 14*l - i*l = 5*a - 31. Solve 0 = -2*p - h - 3*h + 16, 3*h - 12 = a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*u - 67259 = 0, 4*u - 81432 + 31019 = -3*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120241 + -57241. Round v to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 7*b - 2. Let s be j(-4). Suppose k + 3*k = 4*h - 96, 2*k = 4*h - s. Put -4, k, -1 in increasing order.\nAnswer: k, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.93403037 rounded to 3 dps?\nAnswer: -2.934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -22*y + 23*y + 23, -11 = 4*f - 3*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6812 is divided by 137.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65, 27, -11?\n\"Answer: -38*u + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-63)\/(-9))\/1)\/(6*11\/(-66))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1319 - -1310. Which is greater: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.55 and 0.5.\nAnswer: -3.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r + 663 = -51*r. What are the prime factors of r?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 29 = -3*a, 0*a - 15 = -2*a + 5*n. Suppose -354 = -2*c - 352. Does 4 divide 6 + a - (-1 - 1 - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000010001001000010011 (base 2) in base 3?\nAnswer: -22000122202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1684634*d**2 + 3369127*d**2 - 1684652*d**2.\nAnswer: -159*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-253)\/(-46)*(-4)\/2*1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 13*k - 3. Suppose -7 - 1 = -4*l. Suppose -17 = -n - l. Does 9 divide g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**3 - 3753*q**2 + 2010828*q - 2007072 = 0?\nAnswer: -1656, 1, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0964397268 to three decimal places.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-6)\/(-27)*(12 - 6). Let v(k) = 2*k**3 + k**2 + k + 2. Let u(y) = 11*y**3 - 11*y**2 - 2*y + 80. Let q(j) = n*v(j) + u(j). Factor q(p).\nAnswer: 3*(p - 4)*(p - 3)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.523369 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 521 + -511. Let j(n) = 10*n**2 - 20*n - 6. What is the units digit of j(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 12*p**2 - p - 2. Let j be w(-12). Solve -n = 4*k - k + j, -2*n - k = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17285.\nAnswer: 5, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 119 + 12?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 29*t - 7. Let n(d) = -d + 18. Let x be n(9). Let f be p(x). Let c = -90 + f. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20, 20, 32, 62, 116, 200, 320, 482?\n\"Answer: h**3 - 7*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/(-55) + (-10)\/110*-542183.\nAnswer: 23, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**4\/8 + 5*a**3\/6 + 9*a**2. Let r(c) = -3*c - 5. Let x(w) = -6*d(w) - 5*r(w). Differentiate x(p) with respect to p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2\/2 - 5758905*d\/2 - 11517834 = 0. Calculate d.\nAnswer: -4, 1919639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 46*t - 104. Let d be n(-2). Put d, 0, -1, -5, 3 in descending order.\nAnswer: 3, 0, -1, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j + j)*(0 + 3 - 1 + 0 - 4 + 2 + (1 - 3 + 3)*(0 + 2 + 0) - 3 + 5 - 4 + 1 + 2 - 2)*(-3 + 4 - 4).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Let d be 1 - 4 - -4 - a. Let g be ((-4)\/(-5))\/(d\/5). Let i(k) = -5*k**2 - 2*k. Let l(z) = 36*z**2 + 15*z. Give g*l(t) - 15*i(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/13 (b) -3 (c) -8293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w + 9. Let c(s) = -5*s - 28. Let r be ((-32 - -2)\/5)\/(-2). Let l(k) = r*c(k) + 8*a(k). What is l(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -530 divided by -265?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1918, 1910, 1884, 1840, 1778?\n\"Answer: -9*d**2 + 19*d + 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -21*3*1\/3. Let v be 6\/q - 1216\/56. Let f = v - -30. Calculate the greatest common divisor of f and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b**(1\/6)*b*b)\/b))\/((b*b*b**6)\/b))**(-1\/55) assuming b is positive.\nAnswer: b**(49\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 59832?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*i - 20 = -4*q, -5*q - 3*i = -45. Solve 0*v = v - 2*f, 3*v - 3*f + q = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*3*-3*2*sqrt(605) + -3*(sqrt(605) + 2*1*sqrt(605) - sqrt(605))*4))**2.\nAnswer: 13612500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c. Let w(l) = -2*l - 1 - 3 + 5 + 3*l**2. Let d be w(-1). Let z(q) = 0*q + d*q - 4*q + 19*q. Calculate f(z(m)).\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, -5, -10, -17, -26, -37?\n\"Answer: -n**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -372*j**4 - j**3 + 288*j**2 + 1293753 wrt j.\nAnswer: -1488*j**3 - 3*j**2 + 576*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Suppose 6*h - h - 220 = s. Suppose z + 3*g - 8 = 0, 0 = -3*z - 5*g - 0 + h. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 4 + 3 + 3 + (2 + 0 - 3)*(0 - 2*z + 0).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 6*m - 6. Let s be g(3). What is the greatest common factor of 21 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*r + 14751*a*r - 49137*r wrt a.\nAnswer: 3*a**2*r + 14751*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4841 is divided by 2222.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 1135054960.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 4, -2\/19, 469?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o. Let v(i) be the first derivative of i**4\/8 - i**3\/6 - 10*i**2 - 14. Let c(a) be the second derivative of v(a). Calculate 2*c(h) + 3*p(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -254839, -254806, -254773, -254740, -254707?\n\"Answer: 33*g - 254872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 195\/60 + 1\/(-4). Solve -u + a*u + 2*z - 6 = 0, 4*u - z - 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2627*h - 399. Does 19 divide s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8*d = 9*d + 2645, -3*d = -2*c + 2635. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:48 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**5\/10 - i**4\/6 + 17*i**3\/3 - 195*i**2. Find the first derivative of r(c) wrt c.\nAnswer: 12*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5400 divided by 40?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 5. Suppose -8*o + 4*o = -3*a + 33, 0 = -o - 5*a - 14. Let u = o + l. Solve 2*d = 8*x - 4*x + u, 9 = 3*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 786807 and 349692?\nAnswer: 3147228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(300) + sqrt(2) + -2.\nAnswer: -2 + 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -172686, -172691, -172696, -172701?\n\"Answer: -5*u - 172681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992356?\nAnswer: 2, 248089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**(-11)*n)**(1\/3) assuming n is positive.\nAnswer: n**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3*q**2 - 399*n**3*q + 13204*n**2*q**2 + 12*n**2*q + 12*n*q**2 - 2*q**2 + 10*q - 9 wrt q.\nAnswer: 4*n**3 + 26408*n**2 + 24*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 1}. What is prob of sequence xd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2738*o**3 + 3420*o**2 + 987*o - 987*o + 1 - 1 wrt o.\nAnswer: 16428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**2 + 689*d**4 - 1557*d**4 - 5*d**2 + 721*d**4 + 34*d**3 as h*d**4 + p*d**2 + u + a*d**3 + v*d and give a.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (55 - (-20384)\/(-304))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - ((-1540)\/(-98) - 1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-10)\/35 - 16\/7 - -43.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 45. Let f be a(24). Solve 6*r + 2*s - 23 = r, -f*r = 3*s - 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c**3 - c)*(-914*c**2 + 2 + 1491*c**2 - 2).\nAnswer: -577*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -237315?\nAnswer: 237314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwbdggrgtbbwgbgttdt. Give prob of picking 2 g.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (154 - 154 - 77*m**3)*(2*m + m - 5*m) in the form n + o*m**4 + y*m + q*m**3 + c*m**2 and give o.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282732.\nAnswer: 2, 3, 23561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958 is divided by 139.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 2 + 22 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*(-2)\/10)\/((-6)\/15). What is the fourth biggest value in 1\/6, -3, -11, z?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38536 is divided by 1429?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8741 + -4.1259. Which is the fifth biggest value? (a) -4 (b) 0.54 (c) 5 (d) s (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 12*w + 7. Let u be l(-11). Let p = 1 + u. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 48. Put 2, -7, n in increasing order.\nAnswer: -7, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/51319 and 9\/292.\nAnswer: 205276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14875 and 8925.\nAnswer: 44625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1654? (a) 0.5 (b) 2 (c) -4\/5 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214 divided by -2.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3454117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 15*y**3 + 2*y**2 - y. Let i be v(1). Let x = -11 + i. Suppose x*m - 14 + 4 = 0. Which is the third smallest value? (a) m (b) -0.1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 82*u**2 - 310*u**2 + 4*u**3.\nAnswer: u**3 - 228*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**5 + x**5 + 2*x**5 + (-x**4 + 0*x**4 - x**4)*(0*x + x + 2*x).\nAnswer: -9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**2*o**2*q + 853*h**2*o**2 - 2*h**2 + 328*h*o*q - 5*h*o - 2*h wrt o?\nAnswer: 12*h**2*q + 1706*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 200*a - 4885. Calculate q(171).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y - 10. Let b be (-3 + 3 + -7)\/1. Let q be j(b). Is 2074\/q + 2\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10*b**2 + 38*b - 17. What are the prime factors of x(33)?\nAnswer: 67, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084501232 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 times 0.0072797?\nAnswer: -1.9946378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15467359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(153) + 2*sqrt(153)*-2 - sqrt(153) - sqrt(153)) + sqrt(153))*-3)\/(sqrt(99)\/(sqrt(704)*1)*1).\nAnswer: -288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u + 103 = 193 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 176\/30 + (4 - (-116)\/(-30)). Suppose -3*g + 5*s = -8, 2*s + 64 = 4*g + h*s. Suppose -g*b + 15*b + 4 = 0. Sort 3, b, -4, -2 in descending order.\nAnswer: 3, b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 15 = -0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 2\/141991, -3, 3\/4, 0.2 in descending order.\nAnswer: 6\/7, 3\/4, 0.2, 2\/141991, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*o**2 - 375*o**2 - 108*o**2 + 62*o**2.\nAnswer: -491*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -2 + -31 + -55 + 94?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -1.3. Is -0.1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 11:04 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3838*g**4\/3 - 2590660*g**3\/9 - 16046928*g**2 + 48965612*g\/3 + 127690\/9 = 0.\nAnswer: -113, -5\/5757, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17269525*b**3*w + 49974*b**3 - 14*b**2 wrt w?\nAnswer: -17269525*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 18 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*x**3 + 63 - 204*x**3 - 63.\nAnswer: 146*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8643633 is divided by 11039.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 1 + 4 + -1 + -3 + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18045.7 rounded to the nearest one hundred?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6384899 and 2211?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1205 divide 52387463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 813193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-39)\/(-6))\/((-8)\/(-2896)).\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2313 + 2?\nAnswer: -2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 12*j**2 + 27. What are the prime factors of x(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 2*w - 4*w)*(-1 + 0 + 2)*(4*w - w - 2*w + (-2*w + 4*w + 0*w)*(-1 - 3 + 2) - 1 + 2*w + 1).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -5 + 122 + -94.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*((c*c*c\/c**1)\/c)\/c*c**(-4)*c**(-4\/3)*c)\/((c**(-2\/17)*c*c\/(c*c**4))\/(c**(-2\/5))**(-2)) assuming c is positive.\nAnswer: c**(-232\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 - 2320*z\/7 + 96000\/7.\nAnswer: -2*(z - 40)*(z + 1200)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 116*d**2 - 41583*d + 434. Calculate q(154).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-11)\/(-6))\/11)\/(27\/18)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30374 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t - 53 - 28*t + 53.\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -8. Let d(y) = -y**2 + 2*y + 2. Let i(r) = r + 1. Let q(b) = o*d(b) - 2*i(b). Let v(w) = -4*w**2. What is q(v(s))?\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-764)\/1337*(-14)\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12752 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 25*m**3 - 5 - 3*m**3.\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.7 - -15. Let m = -0.5 - 2.5. Which is the nearest to -1\/4? (a) m (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c + -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 23 = -12*m. What is the remainder when (-2)\/1*14\/(-4) is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/2*(-4)\/10. Let q = 0 - -5. Let d = q - i. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w, -14*f = -12*f - 3*w - 312. Let m(v) = -3*v**2 - 101*v - 43. Calculate the remainder when f is divided by m(-33).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.04 rounded to 1 dp?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*2138.2.\nAnswer: 44902.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/1193 - 4758\/8351. What is the third smallest value in 2\/21, 1, -3\/7, y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 0.5, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 2. Calculate p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 3 = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6442 + 3.3558. Let f = 0.9 + -0.94. Put f, s, -10 in descending order.\nAnswer: s, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + r + 15 = 0, -2*i - 2*i + 36 = -4*r. Suppose i*m = 2*m - 3*z - 5, 3*m + 5*z - 10 = 0. Let y(f) = f**2 + 4*f - 4. Give y(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47309 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14350 (base 7) in base 3?\nAnswer: -12102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11208538856 + -0.3?\nAnswer: 11208538855.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-2))\/(-2)*(-69)\/((-8004)\/(-1450))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.1 + -177.1. Let x = m + 144. Which is the closest to 0.1? (a) x (b) -1\/2 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116410 is divided by 136?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + sqrt(72) + 4 + 1 + ((-5 + (1*sqrt(72) - sqrt(72)) - (-1 + sqrt(72) + -1*sqrt(72) + sqrt(72))) + -3)**2.\nAnswer: 127 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -965 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 2:11 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-570)\/(-1520) - (-1 + 1578\/(-16)) and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**2 + f**2 + 3*f**2 + (-f + 2*f - 4*f)*(-5*f + 0*f + 9*f).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*g + 350 - 582 - 652 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-5\/3))**40*(u*u**(-3\/11))\/u**(-2\/13) assuming u is positive.\nAnswer: u**(46138\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmky when four letters picked without replacement from {a: 1, y: 2, m: 1, k: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 9. What is the remainder when u(-7) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -492 in -4, 19, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**3 + 584*y**2 - 603*y + 8. Let f(m) = -3*m**3 + 390*m**2 - 402*m + 5. Let x(c) = 8*f(c) - 5*i(c). Factor x(s).\nAnswer: s*(s - 1)*(s + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 10:29 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 599 - 95 = 6*m. Let f be 2\/7 + 1236\/m. Let c be (f\/(-10))\/(2\/(-4)). Solve 2*l - 5 = c*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23*-0.25.\nAnswer: -0.0575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {y: 4, e: 4, g: 1, o: 4, d: 4, a: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -252?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41850000 rounded to the nearest one million?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2589 - 0.0589. What is the fourth smallest value in q, -4\/5, -3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 2:26 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 10011302.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2, 3, -0.2, 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2 + 2*f**3 + 2 + 3*f**3 - 3*f - 4*f**3. Let m be y(-3). Let i = 21 + m. Which is smaller: i or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 3*n - 2. Let v(w) = -2*w**2 + 2*w + 1. Suppose -6 = -c + o + o, 0 = -3*c - 5*o + 7. Determine c*v(g) + 3*x(g).\nAnswer: g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l + 14. Let m be j(13). Is 15 a factor of ((-20)\/(-6))\/(7\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0)*(-1 - n - 13*n + 2)*(n**2 + 2*n - 2*n) to b*n**3 + u*n**2 + s + o*n and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (6850\/(-65))\/5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + 5 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeee. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 4*g**2 - 6*g - 4. Let n(f) = -f**2 + 5*f + 1. Let k be n(4). Let b be j(k). Let p = 4 - b. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14412375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43 and -642.7616.\nAnswer: 27638.7488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4492817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - h + 18 = 0, -4*r + 2*h + 6 = -3*h. Let f = -10 + r. Let c = 18 + -17. Which is greater: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10 + 13*s + s**3 + 49*s**3 - 11*s**2 - 51*s**3 - 2*s**2. Determine j(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 84 = -n, -250 = -4*a - n + 98. What is the remainder when a is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14617691, 29235379, 43853067, 58470755?\nAnswer: 73088443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((150\/40)\/(-15))\/(15\/100*5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9\/40 - 1\/40. Let m(q) = -q**3 - 7*q**2 + 1. Let s be m(-7). Which is the fourth biggest value? (a) 2\/9 (b) 1\/3 (c) f (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1858475 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*t - 224, r - 216 = 2*t - 0*r. Let x = 166 + t. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93056184 divided by 894771.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107625 + 79189. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*r - 238*r - 96*r - 83*r - 1 to o + b*r and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38777974?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -2)\/((36\/324)\/((-1)\/2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 51*a - 374. Calculate g(-42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 554*z**2 - 3251*z - 3. Let w be l(6). Calculate the greatest common factor of w and 10150.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19648, -39308, -58970, -78634, -98300, -117968?\n\"Answer: -h**2 - 19657*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2\/11, 0.24 in ascending order.\nAnswer: -2\/11, 2\/13, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -15. Let u(p) = 8*p - 4. Let r(c) = 17*c - 9. Give s*r(y) + 13*u(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 7*s**2 - 3*s**2)*(-s + s**2 - 3*s**2 + s**2)*(-s + 0*s + 6*s).\nAnswer: 30*s**5 + 30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0, -5, 19\/10, -1\/7 in descending order.\nAnswer: 20, 19\/10, 0, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-10) + 2\/5. Let v = -14 - -22. Let d(q) = -q**3 - 10*q**2 - 6*q - 58. Let o be d(-10). Solve 0 = 5*s - x - 22, -o*s + v = -x - f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/21, 2\/19, -97, -3, 0.01?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 39*f**3 + 930*f**2 - 5344*f + 7296.\nAnswer: -(f - 8)**2*(f - 2)*(f + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1aa721 (base 11) in base 16?\nAnswer: 4e869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4\/4 + 21*z**3 + 43*z**2\/2 - 21*z - 85\/4 = 0?\nAnswer: -1, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 48*h + 86. Let d be i(-26). Put -5, 6, -3, d in descending order.\nAnswer: 6, -3, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*g**3*v - 461073*g**3 + 68016*g**2 - 7*g*v - 4*v wrt g?\nAnswer: 48*v - 2766438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/13)\/y*y**11 assuming y is positive.\nAnswer: y**(128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 7. Suppose -2*o + 0*o - 2*t = 4, -i*o - 2*t = 7. Let j = 0.4 - -0.1. What is the third biggest value in -2, j, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 p when four letters picked without replacement from rrpprprr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -204 - -199. Let i(c) = -3*c**3 - 4*c**2 + 3*c. Let z(x) = -13*x**3 - 16*x**2 + 12*x + 1. Let a(t) = 9*i(t) - 2*z(t). Calculate a(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Suppose h = -4*i - 0 + 12. Find the second derivative of 37*v**2 + 6*v**i - 6*v - 37*v**2 wrt v.\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 8 = -2. Let g be 4\/8 + a\/4. What are the prime factors of (3 - g)*(-3 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 7. Let l be x(10). Suppose 2*s + 0*s + 68 = 2*d, -d + 34 = l*s. Suppose -3*h + 2*m = -d, 3*m = -2*h - 2 + 16. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 16 = 3*f - 4*y, 5*y + 25 = 0. Let k be -1 + f\/((-1)\/(-14)). Let v be (6\/(-4))\/(k\/(-20)). Which is the third biggest value? (a) -6 (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -357\/11 bigger than 0.12738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g + 29. Let h be m(4). Differentiate 53 + 13*c + h*c - 82 with respect to c.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1373*f**2 - 1404*f**2 - 553*f**2 - 72*f**2 + 633*f**2 - 2094*f wrt f?\nAnswer: -5538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r*z**3 + 39939*r*z**2 - 719336*r wrt z?\nAnswer: -6*r*z**2 + 79878*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 33. Let n(o) = -o - 8. Let b(l) = 9*n(l) - 2*s(l). Let k be b(-4). Suppose 3*r + 2 = 3*u - 79, -k = -3*r. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 - 153 = 2*h, -4*j - h = -640. Is j a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12273?\nAnswer: 3, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58538 at least as big as 292693\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*r*u**2 + 372*r*u - 525*u**2 - 2*u wrt u.\nAnswer: 24*r - 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-9)*((g**(-6)\/g)\/g)\/g*(g**1\/g)\/((g\/(g*g**(1\/2)))\/g))**(-17))**(3\/7) assuming g is positive.\nAnswer: g**(1683\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-184)\/(-230))\/(((-3)\/(-25))\/3). Let t(b) = b + 121. Calculate the remainder when t(c) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/6)\/4*24\/(-72).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 2602*d + 2601*d + 5 = 0, -5*d = r + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -5.6.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1330 and -8\/1197?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 + (-14)\/35*20. Solve -111 = -n*r - 102 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2206.6 + 2554. Let o = 40.4 - d. Let b = -307.000131 - o. What is b rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y + 4 = 0. What is the third derivative of -q**2 - q**y - 2*q**2 + q**5 wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 7*v**2 - 5*v + 9. Let s(j) = -j**3 - 10*j**2 - 7. Let u be s(-10). Is 29 a factor of g(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3446 = -r - 3903. Sort -4, -1, 4, r in decreasing order.\nAnswer: 4, -1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4455587314 + 0?\nAnswer: 4455587314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 494638 and -1?\nAnswer: -494638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**5\/7 - 498*o**4\/7 + 2460*o**3 - 82680*o**2\/7 - 68832*o\/7 + 48384 = 0.\nAnswer: -196, -2, 2, 6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 3*h**2 + h**2 + 0*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 24857574.\nAnswer: -2485757.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.68 + -1.68. Which is the nearest to f? (a) -2\/3 (b) 0.2 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and 231?\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1786103.\nAnswer: -1\/1786103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 8:02 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.49 times 18\nAnswer: -8.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72) - ((sqrt(72) + sqrt(72)*-2 - sqrt(72)) + sqrt(72))))\/sqrt(3))\/(sqrt(32)\/(sqrt(8)\/sqrt(2))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 19 = 9*y. Suppose -5*f + 289 = y. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4912 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*t*v**3 - 4*t*v**2 + 641*t*v + 2*t - 8*v**3 wrt v.\nAnswer: -72*t*v - 8*t - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z - 3. Let l(n) = 49 + 7*n - 30 - 17. What is 5*l(f) + 3*v(f)?\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 406554173 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 80136531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -2, -12.\nAnswer: -12, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2 - p**2 + 0 + 0*p**2. Let v(l) = -9 - 4*l + 0*l + 4*l + 457*l**2 - 460*l**2. What is -9*i(m) + 2*v(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 4, 1, -4 in decreasing order.\nAnswer: 4, 1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o = -2*w - 17, -3*o = -2*o + 7. Suppose 2*d - 6*d + 752 = 0. Calculate the lowest common multiple of d and w.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 7*k - 8. Let d(b) = 4*b**2 - 12*b - 15. What is 4*d(v) - 7*f(v)?\nAnswer: 2*v**2 + v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8728670*d*m**3 - d*m + 3*d + 333941*m**3 + 4 with respect to d.\nAnswer: -8728670*m**3 - m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/44)\/n*n**(4\/11))**(-50) assuming n is positive.\nAnswer: n**(-425\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.4 - -0.5. Let m = -3.19 - l. Let o = m + 0.1. What is o rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 19*t**2 + 110*t - 2. Give u(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 5, u: 13}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12273, 8017, 925, -9003?\nAnswer: -21767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/6*(-30)\/(-4). Let f = h + -16. Let j = 44 - 34. Calculate the remainder when f is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2 + 4 - 5)*(0 - 4 - 4)*(-m + m - m) + 6*m**2 - 8*m**2 - 3*m**2.\nAnswer: 11*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1)*((1 + 0 + 1)*(-2 - 3 + 4) + 1 - 2 + 3 - 7 + 2 + 2)*(3 + 0 - 1)*(2*j - 2*j - j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**7\/231 + 4*d**6\/165 + 3*d**5\/110 + 38*d. Solve p(i) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4039, -4140, -4443, -5050, -6063?\nAnswer: -7584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*b = 0, u + 18*b - 2 = 16*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*y + 2*y + 241, -y - 379 = -5*l. Suppose -13 = -9*o - 4. Let s be o + -10 + 4 + 20. What is the highest common factor of s and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14389 and 13.46244541?\nAnswer: 14402.46244541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 6*i**2 + 6*i - 1. Let p be x(5). Suppose 3*t = -5*d - 5, -p = -t + 5*d + 1. Solve 4*k + 20 = -t*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 38 = -2*n, 4*n + 7*o = 5*o + 52. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31175 - 31175 + 31*k.\nAnswer: 31*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 30*o = 90 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/74973 and -27\/4103.\nAnswer: 824703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84845502*q**3 - 3381*q**2 - 6580*q wrt q.\nAnswer: 509073012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1311130?\nAnswer: 3933390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjx when three letters picked without replacement from jxjxx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k - 6. Let u = 9 + 11. Calculate the greatest common divisor of u and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10575473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59572321*p - 879098494 wrt p?\nAnswer: -59572321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9828.92 litres to millilitres.\nAnswer: 9828920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20344, -40695, -61046?\n\"Answer: -20351*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(245) + 0)*1 + (sqrt(60) - sqrt(540)*6)\/(sqrt(84)\/(sqrt(14)\/sqrt(2))))**2.\nAnswer: 20*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000029819 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 2*f + 3. Let k = 330 + -333. Calculate i(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 4:27 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1171 and 10?\nAnswer: 11710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 + 5 + 7*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j**3 - 3*j**2 + 3*j. Suppose 0 = 18*t - 19 - 71. Let s(a) = -6*a**2 + 0*a + a + 0*a + t*a**2 + 0*a. Give o(k) - 3*s(k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/264 and 31\/363.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-225))\/(-6)*20*7\/(-14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 - 10*m + m**3 - 21*m**2 - 91 + 8*m + 13*m**2 in the form s*m**3 + v*m + u*m**2 + c and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9 - 15 + 6*j + 9*j. What is the tens digit of g(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 30 = -9*g. Suppose -3*i + 2*i = -g. Suppose -2*m + i*m = 0. Solve 2*o = -m*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*k + 50 = 275. Let c(x) be the first derivative of 0*x**2 + 23*x - 20\/3*x**k + 28. What is the first derivative of c(n) wrt n?\nAnswer: -40*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - 2220774?\nAnswer: -2220750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.1 - -3.9. What is the third smallest value in u, -0.4, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t - 88 = -34*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.64 + 0.36. Let z = -5 + t. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 4 + (-10 - 6) - (-13 - 1414\/(-56)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.41213 and -0.14.\nAnswer: 0.27213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*s + 3*t + 209, 3*t - 48309 = -4*s - 48254 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4780 in 5, -0.05, 271\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 + -711\/8. Let z = b - 3\/8. Suppose 3*m - 8*m = 0. Which is greater: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66077*n - 66077*n + 5*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 191*v + 42*v - 171910 + 198938 for v.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 2*s**2 + 2*s + 6. Let y be p(-3). Let d = -43 - y. Find the second derivative of -16*z + 156*z**2 - 82*z**d - 82*z**2 wrt z.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435336691 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2403 + -2107. Calculate the highest common divisor of h and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 + 468. Suppose g = t + 4*t. Calculate the highest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*f + 544 + 747, -d - f + 429 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204220 (base 5) to base 2\nAnswer: -1101010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o - 4. Let r be (-39)\/(-26)*4\/6. Let z be b(r). Suppose -1 = -2*t + 3*t. Is z at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - -3.06. Let i = m - 2.9. Let g = 4.1025 + -1.1025. What is the nearest to 0 in i, 2\/3, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000011010011 (base 2) to base 10.\nAnswer: -8403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 214, 3\/5, -0.02, -0.191, -0.3 in descending order.\nAnswer: 214, 3\/5, -0.02, -0.191, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 14. Suppose -5*p + 112 = 2*v, 3*v + 2*p - 54 - 92 = 0. Suppose -v*n + 42*n = -20. Is c(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 335978.17 to the nearest one thousand.\nAnswer: 336000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9\/42)\/((1\/2*-5)\/(3490\/(-14658)))\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 15) in base 11?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3470 is divided by 65.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37612 + -19843. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afz when three letters picked without replacement from {z: 2, f: 1, a: 1, c: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10399\/7?\nAnswer: -10399\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/99 - -317\/495. What is the fourth biggest value in m, -0.5, 0.01, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*c - 15, -c - 2 = -5. Suppose o*p - p = 116. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0*v**2 + 6\/5*v**5 + 0*v**4 + 0 - 3*v**3 + 23*v. Find the second derivative of t(c) wrt c.\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -9*t - 125. Let n = t + 28. Suppose n*o = 4*d + 19, 5*d + 16 = d. Is 1\/4 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 11796*v**2 + 85*v - 172. List the prime factors of z(2).\nAnswer: 2, 31, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 k when three letters picked without replacement from ikkkik?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-28) + 100\/105. Let n = 0.5 - 0.3. Let z = -0.6 + n. Sort j, z, -1\/2 in descending order.\nAnswer: j, z, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2\/2 - 10579011*j\/2 - 5289507 = 0. What is j?\nAnswer: -1, 3526338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 (base 8) in base 12?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -44561?\nAnswer: 44560.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25686933 is divided by 143.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317234846, -317234845, -317234844, -317234843, -317234842?\nAnswer: -317234841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40279?\nAnswer: 47, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 365\/1752*4*(-2)\/(-20)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6905*r + 6874*r + 806 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 31 = -3*w. Suppose 0 = -u - 2*q + 1310, 4*u = 29*q - w*q + 5264. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 + u - 1. Let k be q(1). Let r(o) = -o**3 + 5*o**2 - 4*o + 1. What is r(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let y(m) be the third derivative of 559*m**4\/24 - 26*m**2 + 15. Calculate l(y(i)).\nAnswer: 559*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 6*g**2 + 2*g - 7. Let h be f(6). Let n = -6 + h. Let i = 11 - 13. Are n and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48 times 0.2?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -301\/6, 0.3, 0.196 in descending order.\nAnswer: 0.3, 0.196, -301\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 758256 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14873, -14799, -14597, -14201, -13545, -12563, -11189, -9357?\nAnswer: -7001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*1 + 2 - sqrt(112))**2 + -5 + (sqrt(1008) - sqrt(63)).\nAnswer: -1 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -45*h**3 + 10*h**2 + 30*h - 30. Let f(r) = 1 + 83*r + 85*r - 169*r. Let s(k) = -30*f(k) - w(k). Determine p so that s(p) = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/5))**(-13)\/((l\/(l**(1\/4)*l))\/(l*l**(1\/2)*l)))**6 assuming l is positive.\nAnswer: l**(-459\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18693, 74784, 168275, 299166, 467457, 673148?\n\"Answer: 18700*a**2 - 9*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-45) + 270\/(-2025).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -8d57c?\nAnswer: -8d578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 - 5*p + 5. Suppose 11*s - 55 = -0. Let d be r(s). Suppose -3*q + d = -4*j, 0*q + 4*q - 4*j = 104. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1135230 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2 = 7. Let m = 5 + -2. Suppose -m*z - 3*k = 0, 2*k = 4*z + 7 - g. Is z not equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Let v = -463796.6 + 463797. What is the closest to 0.56 in v, -0.3, -4, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 82 = 5*g - 169, -4*g = -5*w - 224. What is the remainder when g is divided by (4\/8)\/((-1)\/(-36))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45*15\/6750)\/(-15 + 16).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -6323 + 43583. Is 35 a factor of (j\/(-92))\/(1\/(-7) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 310551690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 4*l - 7. Let d be p(7). What is the tens digit of 1 + 4\/d + 1074\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 7043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4691 + 4690.6. Let s = -74.38 - -75. Let d = 0.6 - s. What is the closest to 1\/4 in x, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**5\/20 - r**4\/3 - r**3\/3 - 4*r**2 - 7*r + 1. Let a be l(-4). Solve a = 2*m - 3*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 1}. What is prob of sequence yyf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((128\/(-6))\/(-4))\/((-2)\/12))\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.1, 0.3, -2821?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 - -0.29. Let t = -0.558 - -0.4216. Let y = s + t. Round y to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 39870?\nAnswer: 39870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.88633, -595 in ascending order.\nAnswer: -595, -3, -0.88633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -18*j - 80. Let t = -19 - j. Let v(n) = 64*n**2 + 2*n - 2. What are the prime factors of v(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**5\/240 + x**4\/8 + 3*x**3\/2 + 11*x**2\/2 + 12*x. Let r(p) be the first derivative of d(p). Suppose r(t) = 0. What is t?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 67*y - 25. Let s be l(-10). Let r = s + 717. Calculate the lowest common multiple of 54 and r.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/6)\/((-2)\/4). Let l be ((-3 - 0) + 2)*w. Let r = 9 - 8.8. What is the nearest to l in 0, -1\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 3*h + 3*h + h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777 a factor of 103625772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(567)*2))**2.\nAnswer: 1800*sqrt(7) + 56800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16083, -32325, -48561, -64791, -81015, -97233, -113445?\n\"Answer: 3*r**2 - 16251*r + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -428944*y**3 + 392629 wrt y?\nAnswer: -1286832*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67 - -5) + (-17 - (-16 - 23)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 21587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -b62091?\nAnswer: b6208b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 530639446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaccaacaac. Give prob of picking 4 c.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 - 36 = 48*w. Which is bigger: 49 or w?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1678200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 12. Let b be x(-6). Suppose -5*c - t + 246 = b, -2*c + 88 = 3*t - 0*t. Suppose 4*o - 5*s = 169 + 46, -o + c = -5*s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/42 + (-3 - 1 - -6).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 34. Let f = p - 43. Let u be (-24)\/f - (-3 + 2). Solve 0 = 5*h + 3*x - u, -h + 4*x + 2 = -3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 79) + 12 + 1 + -20 + 76 + -73\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6.6 * 1821626\nAnswer: -12022731.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gevvxuex. What is prob of sequence uv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) 4 (c) 0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/5)\/(s*s**(-5)*s))**(-46))**(-2\/21) assuming s is positive.\nAnswer: s**(368\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1912, 8096, 18362, 32674, 50996, 73292, 99526, 129662?\nAnswer: 163664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -29.6. Let q = -3 - r. Let s be ((-2)\/(24\/9))\/(-3). Which is the nearest to 0.1? (a) s (b) q (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*a**3 - 2*a**3 + 6*a**3 - 2*a - 3 to the form t*a + i*a**3 + c*a**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/11 or -0.43?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.2 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/9, 0.059, -0.5?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 8. Give k(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 4*v - 38 + 67 + 45)*(-6*v + 2*v - 3*v) to the form q*v + p + x*v**2 and give q.\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*x = 4*u + 270*x + 30, -53 = 6*u + 5*x for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*2*(0 + -1). Let t be 2\/o + (-1)\/4. Let i = 2 - 3. Which is greater: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -9 - 11. Is 1 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 62*x**2 - 118*x + 6. Calculate k(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a - 45 = -5*t, 4*t - a - 16 = 0. Let x be (-2 - -5)*t\/3. Let n = x - 4. What is the remainder when 4 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3721 (b) 3 (c) -0.1 (d) -1332\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5405*v = -363560 - 101270 for v.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -220 + 210. Let k(j) = -3*j**2 - 32*j - 24. Calculate k(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 - -63 - (264\/(-10))\/4\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**5\/20 + 7*o**4\/6 - 19*o**3\/3 + 2*o**2 - 31*o. Does 20 divide t(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzztgztttttzzzttztz. Give prob of sequence tzz.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1291, 0.1, 0.01, 2\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1. Let u(z) = z + 29. Calculate 5*f(l) + u(l).\nAnswer: l + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*sqrt(5616)*-4)\/(sqrt(147)*5*-1*-2).\nAnswer: 48*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (17\/136)\/(7637\/(-69824))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = a + 16 - 6, -23 = 2*r + 5*a. Let w(h) = h**2 - 516*h + 47577. Let f be w(120). Sort f, 5, r.\nAnswer: r, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 13*d**2 - 45*d + 81. Give p(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 7*k**2 + 7*k - 2. Suppose -5*m - 4*p + 21 = 0, -2*m = -7*m + 2*p + 27. Let o be (-1)\/m + 12\/10. Let u be -1 + -6 + 0 + o. Determine c(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26636615 to the power of 1\/2, to the nearest integer?\nAnswer: 5161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((7 - -5) + -2) - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -6. Let j = -0.009 + 0.009. What is the nearest to 2\/7 in j, n, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 1841.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 22.86. Let a = -2 + -2. Sort a, o, -0.2 in ascending order.\nAnswer: a, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oootouvodvvvo. Give prob of picking 1 d, 1 o, 1 t, and 1 u.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*t**5 + 198*t**3 + 46529*t**2?\nAnswer: -900*t**2 + 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 504875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2232744696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -187, -360, -535, -712, -891?\n\"Answer: -p**2 - 170*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -518 - -522. Let i(x) be the first derivative of 2*x**2 + x**g - 8\/3*x**3 + 0*x + 1. Let i(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 35*r**4\/3 + r**3\/2 + 3*r**2\/2 - 3*r. Let q be l(5). Let u = 42283\/12 - q. What is the common denominator of -48 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5\/6, -18, 5.\nAnswer: -18, -6, 5\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 294\/168*(-2)\/7.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*q + 4, -10 = 3*q + 2*q. Let j(m) = -m**3 + 3*m - 1. Let w be j(o). Calculate the remainder when 5 is divided by 16\/6 - w\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 45 (b) -0.03 (c) -2 (d) -118 (e) -5 (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f = -488 + 408 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g - g)*(-4 - 9*g**2 + 4).\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.098 - 0.398. Let l = 3.9 - 4. Suppose 12*x - 3 = -3. Which is the second smallest value? (a) x (b) 0.01 (c) t (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**2. Let u(r) = r**2 + r. Let b(d) = 26*d**2 + 22*d. Let g(v) = 4*b(v) - 88*u(v). Determine g(c(i)).\nAnswer: 576*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.9 + -0.9. Let p = 5.34 - -0.16. Let x = p - m. What is the closest to 0.1 in x, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 19*c - 14 = -2*a, 2*c - 42 = -2*a. What is the third derivative of -33*s**2 - 10*s - 10*s - a*s - 266*s**4 + 37*s - 1 wrt s?\nAnswer: -6384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0425 + -1.03.\nAnswer: -0.9875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 79 + 69 + 102 - 14*r**2.\nAnswer: -14*r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 1.3, -4, 3 in decreasing order.\nAnswer: 3, 1.3, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 362*u = 371*u + 47, u - 5 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (9 - (-5 - 10)) - (2 - -35)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 5\/23, -0.0184 in descending order.\nAnswer: 3, 0.4, 5\/23, -0.0184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.693 + 0.62. Let t = s + -3.937. Let r = t - -3.7. Round r to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36437\/238392 - 2\/29799. What is the common denominator of 139\/1008 and c?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 11:35 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162944 is divided by 162909.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1314400 and 2000?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -47*s + 422. Let z be f(9). Let a(t) = 6*t - 3. Let h(p) = 5 - 4 + 3*p - 4*p. Give z*a(u) - 5*h(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28813, -4, 3, 4 in decreasing order.\nAnswer: 28813, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**8\/112 - i**7\/14 + i**6\/4 - i**5\/2 + 5*i**4\/8 - i**3\/2 + 14*i**2. What is q in b(q) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/37 in 33\/994, 1\/88, 1, -0.2?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000170409 to 7 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 126421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from ptcua.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 1. Let b(q) = q**3 - 18*q**2 - 16*q - 9. Let g(h) = -b(h) + 3*x(h). Let l be g(19). Let j(n) = -n**2 + 5*n + 8. Calculate j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93771 divided by 3473?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.385 + -0.4. Suppose 154*v - 155*v - 5 = 3*y, -3*v - 5 = -y. Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28545*p = 28547*p + 5*q, -3*p + 2*q = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -188, -5081, 5 in ascending order.\nAnswer: -5081, -188, -36, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 2, -6, -5, -4, -700 in increasing order.\nAnswer: -700, -38, -6, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjxv when four letters picked without replacement from {x: 4, j: 1, a: 6, v: 1, s: 1}?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*g**3 - 5*g**2 + 648*g + 81526954 wrt g?\nAnswer: -159*g**2 - 10*g + 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -f - 14. Which is smaller: 9\/7 or f?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3537475 divided by -5?\nAnswer: -707495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 6:15 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 231552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*p + c, 209*p - 213*p + 21 + 13 = -3*c + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 754, 6145, 20794, 49333, 96394, 166609?\nAnswer: 264610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**4\/6 - 3*r**3\/2 - 49*r + 1. Let b(m) = 2*m. What is b(w(l))?\nAnswer: 4*l**2 - 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**11)*w**(-7))**7 assuming w is positive.\nAnswer: w**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7063 (base 11) in base 9?\nAnswer: 13778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -1.41.\nAnswer: 25.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and -0.106863 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9330947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**3 - a**2 - a - 3. Let s = 20612 + -20615. What is r(s)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5425265?\nAnswer: 5, 1085053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*k + 41*k - 12. Solve 5*a - k*a - 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 21 = -16 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -189, -267, -335, -393, -441, -479?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-14) + 6480\/1260. Let k be (3 - 0 - 2) + -1. Let y be (-2)\/4*(0 + k). Solve r = -p*l - y + 4, 0 = -5*r + 5*l + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*d + 713*d - 99 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117254 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 14*v**2 + 11*v - 8. Let a be 4 - (242\/(-11) + 12). Determine t(a).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c. Let h(g) be the second derivative of -2*g**3 - 63*g. What is l(h(m))?\nAnswer: -132*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-5 - -9)) + 80 + -25\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202120021212022121 + 0?\nAnswer: 1202120021212022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.02, 0.3, -0.1, 210551, -1\/5, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -39*r - 53. Let n be k(12). Let l = -421 - n. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1856*h**3 + 361*h**3 + 526*h**3.\nAnswer: 2743*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t. Let c(k) = 559295*k - 12. Determine c(f(s)).\nAnswer: -2796475*s - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 211*r + 225*r + 0.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 57 + 28. Let y = b + -8. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*c + 66*c - 139*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + -80. Let y = 24 + a. Solve 5*n = y - 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88*a**5 + 649*a.\nAnswer: 1760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**8\/84 - g**4\/8 - 3*g**2\/2 + 3*g. Let r(t) be the first derivative of x(t). Find the second derivative of r(s) wrt s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1071 divided by 17.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 >= 773136525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 2*f**2 - f. Suppose -4*r - r + 112 = 4*v, -v = 4*r - 28. Suppose 0 = 5*q - 4*c + 10, 2*q + 4*c = -2*q + v. Calculate j(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*z**2 + 24*z**3 - 8*z + 0 - 14*z**4 - 4\/3*z**5 = 0. Calculate z.\nAnswer: -12, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 17. Let a(y) = 0*y + 4 - j - 5 + y. What is a(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 53, 117, 183, 251, 321, 393, 467?\n\"Answer: v**2 + 61*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2373146 or -2373148?\nAnswer: -2373146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -4, 0, 1827 in ascending order.\nAnswer: -4, 0, 14, 1827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2526575?\nAnswer: 5, 101063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -28379 divided by -59?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*k - 6*k + 3*k - 19*k to the form x + o*k and give o.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*g + 997, 3*z = 8*g - 6*g - 3004. Let m = z + 6966\/7. What is the common denominator of m and (-6)\/4*26\/(-30)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gugo when four letters picked without replacement from qokqgkquoggkoqqqqoq?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(176)) - sqrt(176))**2.\nAnswer: 96*sqrt(11) + 740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1683\/(-136))\/(132\/(-352))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + m**3 - 2*m - 5*m**3 - 3*m**4 + 3*m**3 - 2*m**2 in the form n*m + q*m**3 + z + r*m**2 + v*m**4 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 bigger than 16683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -57, -114, -191, -288, -405, -542?\n\"Answer: -10*z**2 - 7*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2672\/5 + 4\/5*w**2 - 2676\/5*w.\nAnswer: 4*(w - 668)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + b - 2 = -f, -b + 17 = 4*f. Suppose 2*u + 1 = f. Let q be 3\/12 - u\/4. Solve -x + 2 + q = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 + -2.86. Let d = 3.3 + -0.3. What is the third biggest value in d, 6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 168 = -603. What is the remainder when y is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/40, -11\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2043071 - -1?\nAnswer: -2043070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-2 + 1 - 2*-3*sqrt(80))**2 + -1.\nAnswer: 32*sqrt(5) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00051878 to 6 dps.\nAnswer: -0.000519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -54. Let h be (2 - -72)*(-4)\/a. Let t = -12 + h. Is t greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58260 and 17536260.\nAnswer: 17536260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 + w**3 + 2 + 0*w**2 - 2*w**2 - 3*w**3 + 1 as r*w + g + a*w**3 + d*w**2 + h*w**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 1, -3, -2\/5, -463 in decreasing order.\nAnswer: 1, -1\/6, -2\/5, -3, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c. Let f(z) = 15369*z - 545. Let p(a) = -113*a + 4. Let w(s) = 4*f(s) + 545*p(s). Calculate w(d(h)).\nAnswer: -218*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/11 - 214*g**3\/11 - 6390*g**2\/11 + 13414*g\/11 - 6812\/11 = 0. Calculate g.\nAnswer: -26, 1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 554510?\nAnswer: 3327060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-420) - 2*(-1)\/(-7)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -147483 - -26?\nAnswer: -14745b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (3 + 7 - 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**6\/240 - a**5\/60 - a**4\/12 + 2*a. Let s(c) be the third derivative of x(c). Differentiate s(n) with respect to n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x - 76. Calculate n(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - 114 + 0*n + n - 415*n**2 - n.\nAnswer: -415*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 6*b - 14. Let h be i(-10). Let w = 39 + h. Let c = 23 + w. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Find the first derivative of 16*i + n*i + 13 - 7*i - 2*i wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 2403*x + 65626. What is q(27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 + -256. Let x be (-6)\/4 - i\/30. Solve x = -4*z - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14300 divided by -11?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r - 2*r**2 + 570 + 365*r**3 - 886 - 363*r**3 as p*r**3 + m*r**2 + i + g*r and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3834 divided by 1278?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27810*p**4*z - 18062*z with respect to p.\nAnswer: -111240*p**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*k = -222*k + 262200. Is k a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12600 and 6300.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 657\/146*40\/18*-3\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 49 + 6 + 42 + -58.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 12*m + 4. Let q be b(12). Solve 0 = -n + q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**4 + 1110*u**3 - 900365*u**2 + 899250*u = 0.\nAnswer: -550, 0, 1, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.823 plus 27?\nAnswer: 27.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2176)*1)\/(sqrt(6)\/sqrt(3)*4 - sqrt(2)).\nAnswer: 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 2)*(17881 + 78) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 5*t - t)*(62*t - 35*t + 1 - 48*t).\nAnswer: 147*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2206, 17626, 59466, 140932, 275230, 475566, 755146?\nAnswer: 1127176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*n**2*s + 8141*n**2 + 2*n*s**2 + 9*n + 81*s**2 wrt s?\nAnswer: -35*n**2 + 4*n*s + 162*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-2)\/(-8))*6\/(-10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 3*p + 87. Let m be o(-10). Solve -13*s + 2*c - m = -18*s, -2*s = -5*c - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -9\/11, 4, -105, -8 in ascending order.\nAnswer: -105, -8, -5, -9\/11, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2071 and 0.0475.\nAnswer: 98.3725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 + 24)*(0 + 0 + 10*j).\nAnswer: 240*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = z. Suppose 0 = -3*v + 4*v - z*u + 3, -5*v = 4*u - 80. Find the first derivative of -12*f + v*f - 4 - 5*f**2 wrt f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q + 0*q - 2*q + (-123 - 189 + 140)*(-1 + 1 - q).\nAnswer: 174*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 + 69. Let d = -37755 - -37775.0005. Let g = i + d. What is g rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1166 and 353320.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -5*v + 308 - 341, -21 = -3*j + 4*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 17*j**2 + 2*j + 293. Let v be q(17). What is the greatest common factor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5547714929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/10257699 and -35\/201?\nAnswer: 687265833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**4 + f**3. Let g(i) = 4*i**4 - 3*i**3 - 2*i**2. Let v = -13 + 10. Let m(z) = v*c(z) - g(z). Find the third derivative of m(y) wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 + 496*t - 205524 = 0. Calculate t.\nAnswer: -297, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -11*f - 21*f - 2*f - f - 12. Is b(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 38. Sort x, 3, 1\/7 in increasing order.\nAnswer: 1\/7, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, q: 3}. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Suppose v*c + 21 = 2*w - 7, w - 2 = -3*c. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -25*f**2 + 11643*f - 8376. What is g(465)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18191371\/9 or 2021262?\nAnswer: 2021262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2816, 21669, 72766, 172229, 336180?\n\"Answer: 2687*j**3 + 44*j + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3 = -2*u + 5*u, -2*u - 282*f + 253*f = -172 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0963 - 260.784571\nAnswer: -260.688271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1 - 480\/192)*(-42)\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96961480 is divided by 91646?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862514033?\nAnswer: 1741, 495413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1679804*p - 1838134 wrt p.\nAnswer: 1679804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/8 and 121\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to -2\/421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + y**2 + 2*y + 35. Let t be z(0). What is the highest common divisor of 875 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -2777*a + 2775*a - 2, 4*a + 9 = 3*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915691565.\nAnswer: 5, 183138313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 80*w**2 + 260*w**2 + 245*w**2 + 79*w**2. Let a(p) = -3*p**2. Give f(a(y)).\nAnswer: 5976*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 19395*w - 19395*w - w**2)*(-134 + 118 + 83) in the form c*w + y + g*w**2 and give g.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 57248 divided by -2\nAnswer: -28624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392 and (1 - 5)*(3 - (-143)\/(-26)).\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = 2*q. Suppose 0 = -q*x - 0*x + 45. Let z = 14 - x. What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = 3. Suppose -3 = 4*u + g, 4 = 2*u - g + z. Solve u = 4*v - 1 + 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 12 = 3*b + i, -2*b - 3*i - 8 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 1\/2, -5, -6, 3\/2, 0, 1\/525?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a - 156. Calculate n(10).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5098*x**2 + 19339?\nAnswer: 10196*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01897275 to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -5*r + s, 5*r - 2*s - 59 = 13. Suppose 0 = 5*d + 114 - r. Which is smaller: -23 or d?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3 - 314382*b**2 - 628773*b - 314388 = 0.\nAnswer: -1, 104796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {c: 3, o: 1, e: 1, m: 2, s: 4, x: 3}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 21. Suppose -4*l = q*l - 5598. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145854, 141879, 137904, 133929, 129954, 125979?\nAnswer: 122004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 7*a + 5. Let z be r(6). Let x = -3 - -4. Sort 4, x, z in descending order.\nAnswer: 4, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 13, 24?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.62 + 33.62. Which is the second biggest value? (a) 0.2 (b) o (c) -0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 376. Let c(f) = -f + 376. Let t(k) = -4*c(k) - 5*r(k). Let o be t(-8). What is the highest common factor of 19 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*y + 6*y - 13*y)*(-4*y + 4*y - 2*y) + (6*y - 2*y - 2*y)*(3 - 3 - 3*y) to the form d*y**2 + n*y + s and give d.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -16. Let z = 10 - u. What is the units digit of (-26)\/(-4) - (-1)\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/14))\/w*w*(w\/(w*w**(-20)))\/w)\/((((w*w**(-5))\/w)\/w)\/(w\/(w\/((w*w\/((w**18*w)\/w))\/w)))) assuming w is positive.\nAnswer: w**(125\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4 + 12. What is the remainder when ((-35)\/10 - -3)*-46 is divided by (-1)\/4 + (-49)\/v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 19881.57 centuries?\nAnswer: 1988.157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 0\/1 + -7 + 8. Suppose -5*l + 5425 = -3*d - 0*d, i*l - 4*d = 3266. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.1 and -0.38.\nAnswer: -5.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-6) + 1)\/((-14)\/315). Suppose -p*f = -11*f. Suppose 0 = -2*r + 4 - 0. Sort f, 1, r in ascending order.\nAnswer: f, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -301 - 2*v + 0*v + 922 - 293 - 307. Let w(h) = 4*h - 41. Determine 11*m(q) + 6*w(q).\nAnswer: 2*q - 15","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m + 4*x - 15, 31 = -5*m + 4*x. Sort 6, -0.01, m, 0.5 in decreasing order.\nAnswer: 6, 0.5, -0.01, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/217 and -14\/9.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**5 + 15*u**2 - 15*u**2 + (-u**3 - u**4 + u**3)*(-2*u + 4*u - u) + 0 + 0 - 2*u**5.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnduuddidiaanudi. Give prob of picking 2 i.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -11*j. Let p(u) be the third derivative of u**5\/30 + 2*u**2 - 2*u. Determine x(p(d)).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2 - 2*f + 1. Let q(y) = y. Let c(z) = -o(z) - 3*q(z). Let p be c(2). Let j = -129868 + 130089. What is the highest common factor of p and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2679 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28828656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 11*j**2 - 7*j - 3. Let r be w(10). Let u = r + 15. Suppose -48 - u = -2*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwnn when four letters picked without replacement from hgwonhngnwww?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, u: 5}. Give prob of picking 1 u and 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**9\/336 - v**8\/112 - v**7\/280 + v**6\/120 - 7*v**3 - 2*v**2 - 11*v. Let b(y) be the first derivative of d(y). Factor b(r).\nAnswer: -3*r**2*(r + 1)**2*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.43 + 0.23. Let y = -948.3 - -948. Let p = -260 - -1304\/5. Which is the nearest to u? (a) p (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3 + 0)*(-51)\/(-119). Let m = 108 - 107.6. Let z = -0.06 - 0.04. Which is the closest to 2\/7? (a) u (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 47. Calculate the remainder when 27 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 114*z**4 + 2503*z**3 + 7*z + 31378830 wrt z.\nAnswer: 456*z**3 + 7509*z**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12100121001120 (base 3) to base 11\nAnswer: 1674316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (14 - 31) - -33?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 16*t + 22. Let c be x(15). What is the second derivative of c*i - 25*i - 15*i**2 + 5*i wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 7:08 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**5\/20 - 5*k**4\/12 + 5*k**3\/2 - 60*k**2 + 57*k. Let l be o(6). Solve -l*v - 15 = 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/163 and -46\/11.\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(sqrt(18)\/(sqrt(3) - sqrt(27))))\/(sqrt(64)*-1 - -1*sqrt(4)*-1))**2.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -5. Let l = 8 - n. Let x(s) = -s**2 + 17*s - 13. What is the tens digit of x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*o + 1744, 2*o - 4*t - 403 - 461 = 0. Calculate the remainder when o is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4587719131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 9:12 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0*x**2 + 0*x**2)*(x - x + x**3) + (1 - 1 + 1)*(-6*x**5 - 12*x**5 + 11*x**5).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*g = -72304 - 60608. Let c = g - 1515. List the prime factors of c.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 14*m - 251. What is the remainder when v(31) is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1305\/(-1260)*-28)\/(4\/(-16))?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 41, 72, 123, 200?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67042, 134425, 201810, 269197, 336586?\nAnswer: 403977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - sqrt(1536)*-2 - sqrt(24) - sqrt(24))\/(sqrt(12) + sqrt(72)\/(sqrt(12)\/sqrt(2))).\nAnswer: 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.1 and -1?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - 3*t**2 + 5*t**2)*(0*t + 5 - t + 0).\nAnswer: 2*t**3 - 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 300357 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 13*p - 8. Let x be k(12). Suppose -q - 2*d - 11 = 3*d, 24 = 3*q - x*d. Suppose q*w = 12, z - 2*w - 11 = 3*w. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-44462)\/(-6) + -4 + (-140)\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -12*k - 102. Let q be x(-11). Let p be (2 - 66\/q) + 85949997\/(-15). Round p to the nearest one hundred thousand.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {e: 2, u: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**1)**(-2\/5))**(10\/13))**(-1\/2) assuming f is positive.\nAnswer: f**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1356)\/12*1 + ((-305)\/(-366) - 2\/(-12)).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - -3 - 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (0 - -6)\/(-3). Let a(n) = -23*n + 14. Let m(r) = -6*r + 3. Let b(x) = -2*a(x) + 9*m(x). Give b(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071\/(-252) + (-15)\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and 0.198.\nAnswer: -0.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3147913833?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m + 23*m = -48. Suppose -3*u + 10 = m. Solve -4*a - 1 = -l, 0*a - 4*l + 18 = -u*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12455 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119\/376 + -48091\/3384. Let v = -33\/4 - j. What is the common denominator of 101\/54 and v?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45 - -45) + 1 + 10 - -8) + 1 + 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)\/(sqrt(9) - 4*sqrt(9)) - (sqrt(312) + -1*sqrt(312))\/sqrt(6).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/10)\/((-1566)\/(-7830)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 13 = -5*f, -118*z - 3*f - 3 = -115*z. Let l(o) = o + 1. Let a be l(2). Put z, -5, 1, a in ascending order.\nAnswer: -5, 1, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9. Let k(n) = 2*n + 32. What is -2*k(o) + 12*w(o)?\nAnswer: -4*o + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425414.\nAnswer: 2, 11, 61, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12*p**2 - 893*p + 10695. Determine t(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -3. Suppose 2*p + 0*p = 4*r - 202, -5*r - 3*p = -225. Let j be r\/143 - (-6)\/(-39). What is the closest to 0 in -4, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, and 1 i when three letters picked without replacement from {u: 4, i: 2, o: 2, r: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**4 + 1079225*q**3 + 127280095*q**2 + 251322535*q + 125121660 = 0.\nAnswer: -215727, -116, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/2 + 5. Which is the closest to j? (a) 3 (b) 13 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + 66\/(-9) - 20\/(-6). Suppose -w*c - l = 3*l - 14, 2*l = 2*c. What is the smallest common multiple of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.088 and 0.2.\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 30 + -48 + (1 - -4 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 286\/19, 19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 397*r**2 + 7. Let i(j) = j**4 - j**3 + 397*j**2 + 6. Let b(y) = 7*i(y) - 6*s(y). Find the third derivative of b(v) wrt v.\nAnswer: 168*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 104*r**2 + 220372*r - 8476 = 0.\nAnswer: -2119, 1\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 3915120139 to the power of 1\/3, to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285 (base 13) to base 14.\nAnswer: 23d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 2*c**2 - c - 1. What is y(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 12 = -n. Suppose l - 15 = n*l. What is the closest to 2 in -0.3, -0.4, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 2 - 28 + 3 - 3 - 2 - 1 + 1 - 1 + (3 + 1 - 6)*(-3 + 4 - 3) - 1 + 0 + 2 + 3 - 1 + 1)*(t**5 - t + t).\nAnswer: -49*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-8)*(-9 - (-1 + -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743909928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 0.35 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -1. Let o(g) = -g**2 - 7*g - 6. Let j be o(-6). Let v be -2 + (-2 + j - -5). Sort v, 2\/9, b in ascending order.\nAnswer: 2\/9, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 48*p**2 - 49*p**2 + 0*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 108, 1\/26, -0.5, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9365, -18732, -28099?\n\"Answer: -9367*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**3\/4 - 240*v**2 + 1929*v\/4 - 483\/2 = 0.\nAnswer: -322, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1329*h**6 + 152*h**2 - 109*h + 2.\nAnswer: 159480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9375 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 - 26 = 41*n. Let x = 74 - 12. Suppose 5*a - 4*y - x = 0, -2*a + 3*y = a - 39. Calculate the remainder when a is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 - 19*r**3 - 30 + 0 + 0 - r**3 - r**3 + 0*r**3 + 3*r**3 + 4*r**3 - 2*r**3 - 4*r**3 + (-3*r**2 + 0*r**2 + 5*r**2)*(0*r - r - r).\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1523 + -705. Is 65 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 - 3*j + 3. Suppose 3*t - 16 = s, 35*t = 40*t - 4*s - 29. Calculate the remainder when u(2) is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4005.362 millilitres to litres.\nAnswer: 4.005362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i + 8. Suppose -8 = 2*z - 0. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**4\/4 - r. Let f(z) = -z**2. Let v(x) = -5*f(x) + 2*l(x). Let y(h) = 21*h. What is v(y(o))?\nAnswer: -441*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t*t\/(t\/(t\/t**(-3\/4))))*t**(-1) assuming t is positive.\nAnswer: t**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*i = -15 + 41, 3*i = 12. Suppose -2 + 62 = j*z. 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: Let i(y) = 9*y**2 - 4*y - 1. Let j be i(2). Let l be (-4)\/6 - (-72)\/j. Solve -2*n - 6 = 3*t, 11 = -l*t + n - 0*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = k - 22195, 5*z - 9275 = 2*k + 3*k. Suppose -29*n + 4*n + z = 0. Calculate the remainder when n is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c - 68. Suppose -86 = -5*p + 3*i, 3*i = 1 + 8. Calculate the remainder when p is divided by g(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvzzeezezrezzvvzzrvz. Give prob of sequence zer.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 875 - (-2 - -2) - -2. Suppose 0 = -k - 5*i + 188, 5*k = -6*i + 2*i + b. Let d = k - 101. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010111111110001011001110 - 11?\nAnswer: -1101010111111110001011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4091172*o**5 - o**4 + 132967*o**2 + 4*o wrt o.\nAnswer: 245470320*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-2)*(-16)\/(-20)*33\/77?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/2120 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(12 + -9 - (-1 - 1)). Let r = 8 - 4. Put -4, c, r in descending order.\nAnswer: c, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 - -0.57. What is the third smallest value in 0.1, b, -0.2, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -211*g + 7399. What is x(35)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/36 and 2\/7 - (-218)\/(-1260)*3.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*t = -0*t + 27, 0 = 4*m + 4*t - 28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140\/11*a**3 - 24334\/11 + 27508\/11*a - 2\/11*a**4 - 3312\/11*a**2.\nAnswer: -2*(a - 23)**3*(a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 8*a**2 + a - 3. Let w be t(-8). Let q = 11 + w. Find the second derivative of q + p**2 + 2*p + 0 wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.32172 take away 0.07?\nAnswer: -7.39172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/102 and 26\/280653?\nAnswer: 561306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -133. Let z be (3\/(-4))\/((-2)\/16). What is the greatest common factor of r and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-10) - (-6)\/(-10). Let z(w) = w. Let v(m) = -11*m**2 - 3*m. Let u(n) = c*v(n) + 3*z(n). Let x(f) = 2*f**2. What is u(x(s))?\nAnswer: -44*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 8. Let o be u(6). Suppose 4*w - 5*b - 15230 = -w, -3*w + 9139 = -o*b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -5)\/((-12)\/(-250)). Let b = -42 - w. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1524, 1 in decreasing order.\nAnswer: 1, -4, -1524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126 is divided by 113.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/11725 and 28\/1675.\nAnswer: 11725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02004 to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 0 + (-5 - -1). Let j be (-42)\/(-9) + p\/6. Suppose 0 = 5*b + j*o - 22, -b - o + 8 = o. What is the least common multiple of b and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 339996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1751 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 26 + 99*t - 20 as u + d*t and give d.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**3 + 80*y**2 + 1792*y - 35832. Give t(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -349 + 355 - (4\/34 - (-5067)\/(-153))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106.4 + 106. Let y = -0.47 - -2.47. What is the third smallest value in y, h, -23, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(80) + 1 + 5 + (sqrt(80) + 1 + sqrt(80) - sqrt(80) - sqrt(80))*-3 + -3*(0 + -2*sqrt(80))).\nAnswer: -168*sqrt(5) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*i - 9. Suppose i*c - 64 + 25 = 0. Let q(u) = -u**3 + 3*u**2 + 4*u + 3. Let m be q(4). Solve -m*y + 1 = c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i - 1. Let g = -15 + 18. Suppose -z = 2*z + g. Calculate n(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3970*n + 4*n**2 + 7945*n - 3975*n - n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -1\/20*g**5 - 5\/4*g**4 + 0 + 31*g - 25\/2*g**2 - 5\/3*g**3. What are the prime factors of h(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u + 83. Let w be t(9). Suppose -w*r + 106072 = -21*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93656 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*s + s + 2*s)*(-6*s + 3*s - 3*s) + (-1 + 1 - s + (4 + 1 - 3)*(1 - 1 - s))*(-2 - s + 2) to the form c*s + b + v*s**2 and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-176 - -191 - (-9 - -1)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 16. Let w be 4 + v + -6 + 3. Put w, -1, 1 in decreasing order.\nAnswer: w, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 861 + -509. What is the greatest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172490.85s to days.\nAnswer: 1.996421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*b - 22 = -6*m - 215*b, 13 = 3*m - 4*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18571 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 58037050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 6 - 11. Suppose 8*z - 9 = k*z. Let o be (-36)\/63*(-7)\/2. Solve -z*r - 5*q = 14, -o = 5*r + 2*q + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2 + 9380973*l = 0.\nAnswer: 0, 3126991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) - (-5*(sqrt(88)*-3 - sqrt(88)) - sqrt(88))) - -5*(sqrt(88) + -1*sqrt(88) - sqrt(88)))\/(-2*(sqrt(16)\/sqrt(8) + 2*sqrt(288))).\nAnswer: 22*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*sqrt(720) + (sqrt(720) + -3 + sqrt(720))*-6)*6.\nAnswer: -1224*sqrt(5) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**7\/525 - 19*y**6\/150 + 88*y**5\/25 - 160*y**4\/3 + 7168*y**3\/15 - 982*y**2. Factor o(q).\nAnswer: 2*(q - 14)*(q - 8)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -505942+880747.36\nAnswer: 374805.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h + 9. Let d = h + 13. Solve k = 2*l + 3*k - 4, -l - d*k = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (64\/20)\/4*10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 7:27 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5159 + 964 = -157*c for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**4\/6 + 13*k**3\/6 - 2*k**2 + 3. Let r(z) = -2 + z + 7 - 2. Suppose -2*y + 2 = -b - 0, -4 = -2*y. Calculate b*c(s) - 9*r(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 13 + 0*v + 101 - 3*v. Let b be y(0). Let t(o) = 88 - 8*o - b. Let p(h) = 7*h. Give t(p(f)).\nAnswer: -56*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 12. Let v(t) = 7*t + 4 + 0 - 8*t. What is v(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1198781208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/140*-515 + 2\/7. Let a = g + -45. Let k = a + 34. Solve -k = 2*f + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*z - 17, -6*z + 3*z = 5*u - 23. Suppose -u*b - 99 = -3*l, -6*l - b + 165 = -l. What is the greatest common divisor of l and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430771 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (10\/(-30))\/((-12)\/(-146)) and 31\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -71. Suppose 55*b - r = 51*b. Suppose -7 = -12*c + b. Solve -3*w - c = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9947 + (-6 - -4) + -2 + (-4 - -8).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -52*c**3 - 3*c**2 - 5*c - 2. Let z be f(-5). Let i = z + 355. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*q - 5 + 12, q = u. Let f = 3.2 - 3. Which is the nearest to 1? (a) 2\/7 (b) q (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21 - 12 - (6 + 6). Let n = -1 + -3. Let v(x) = 3*x**2 - 8*x - 4. Let r(q) = 4*q**2 - 9*q - 4. Let t(k) = n*r(k) + 5*v(k). Give t(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2434521 (base 7) to base 6.\nAnswer: -10401253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69 + -4?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 3. Let d be ((-2)\/(-4))\/((-13)\/650). Let i(n) = n + 28. Let v be i(d). What is c(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 76688*m + 367565584.\nAnswer: 4*(m + 9586)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2721 - 2649 - 2*w + 1791.\nAnswer: -2*w - 3579","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194213716 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grjjswnrngjr. Give prob of sequence sjr.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 15173670.\nAnswer: 151736700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.3, -0.065079, -2\/13, 1, -13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + -73 + 5 - (1 - -40)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -211, -962, -2199, -3910, -6083?\n\"Answer: 2*k**3 - 255*k**2 + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)\/f*(f*f\/f**6)\/f)**46 assuming f is positive.\nAnswer: f**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 - -0.13. Let i = w - -0.1. Let j = 7.03 + i. Is -1 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 609*t**2 + 85*t - 84. Does 128 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/8)\/((-4)\/36*3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 192*p**3 - 228819*p**2 + 90897168*p - 12036298431. Let g(x) = -x**2 + 4*x - 8. Let l(j) = -3*g(j) + k(j). Let l(f) = 0. Calculate f.\nAnswer: 1589\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - 45. Let p be (2\/6)\/((-11)\/j). Suppose 0 = 3*q + i - 17, 2*q - 18 = -p*q + i. Calculate the least common multiple of 11 and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.59 times 155\nAnswer: -91.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 14*h + 10*h + 5 = 0, -a - 11 = 144*h - 149*h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - (-20)\/(-8)) + 22\/4. Suppose 4*i = s*i - 237. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021042 rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60212?\nAnswer: 2, 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Let c = 5 - s. Suppose -2*m + c - 1 = 0. Solve -2*y = -4*y - m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2 (c) 2\/2823 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -22*d - 1. Let v(x) = -3*x. Determine g(v(j)).\nAnswer: 66*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14110 by 5.\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -5*d - 0*d - 21, 5*k - 5*d - 5 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1953 + 1981. Let a(s) = -28*s - 7. What is the least common multiple of g and a(-2)?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*m - 54. Suppose -80 = -m*n + 5*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174108 by 5276.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(7) - sqrt(28)\/sqrt(4)) + -2)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 - -21.7. Let c = 19.99972 - z. What is c rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 7*n**2\/2 + 2675. Let p(h) = -3*h**2 - 52. Calculate v(p(y)).\nAnswer: -21*y**2 - 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1132, 2, -4 in increasing order.\nAnswer: -4, 2, 1132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c. Let a be 4\/14 - (-6)\/(-21). Suppose 0 = b - 5*i - a*i, 0 = 5*b + 4*i - 29. Let u(g) = -b*g**2 + 9*g**2 + 4*g**2. Determine k(u(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 2 (c) -0.25 (d) 3\/4 (e) 1\/854\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 4*x + 4*x**2 - 5*x - 2*x**2.\nAnswer: 2*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let w(t) = 2*t - 12. Let f(b) = -o(b) + w(b). Let m(z) = 13. Let k(u) = 3*f(u) + 2*m(u). List the prime factors of k(13).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/4)*z*z\/(z*(z**3*z)\/z))\/(z\/z**(2\/5)*z)**(1\/5)*(z*z**0)**(-2\/75)\/(z*z**(-2)*z\/z**3*z*z) assuming z is positive.\nAnswer: z**(-179\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -14. Let p(y) = 17*y**3 - 2*y**2. Let j be p(m). Calculate the highest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 4 (c) -70 (d) 10 (e) -3\/8 (f) -1 (g) 40\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 8824*x**2 - 5032548*x + 857876832.\nAnswer: -4*(x - 1432)*(x - 387)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 17 = 4*u. Let j be u\/2*3\/36. Which is the third biggest value? (a) -2 (b) 1\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/49 - 1829\/98. Let a = -18 - x. What is the fourth biggest value in -3\/4, -3, 2, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**6\/120 - a**5\/20 + a**4\/3 + a**3\/2 + 2*a**2 + 5200. Let n(g) = g**2 + 9*g + 3. Let h be n(-8). What is r(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -409 + 410. Let t be 4\/(-10) - (-5908)\/70. Let r be (-16)\/t*14\/(-12). What is the closest to d in r, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18821 - j + 1304*j**3 - 19296 + j wrt j.\nAnswer: 3912*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2\/2 - 548*b\/3 + 73\/6.\nAnswer: (b - 73)*(15*b - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 866 = -2*k, 5 + 5 = 2*k. Let v(s) = 428 - l - 2*s. Let c(q) = 28*q**2. Calculate v(c(b)).\nAnswer: -56*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-80)\/(-12))\/(2\/3). Suppose l*a = 5*a. Suppose -3*u + a*u = 2*p - 34, u - p - 18 = 0. Calculate the lowest common multiple of u and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 29, 132.1834?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**40\/z)**(-22\/7)\/(z\/(z\/z**20)*z*z*z\/z**(1\/58)))**38 assuming z is positive.\nAnswer: z**(-1122805\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 15. Let s be ((-34)\/l)\/((-2)\/6). Suppose j + 140 = 327. What is the highest common factor of s and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60765689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001827895181 to five dps.\nAnswer: -0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) + 3*(sqrt(972) - (sqrt(972)*2 - sqrt(972))))*-5)\/(-3*2*sqrt(484)*-4)*5.\nAnswer: -75*sqrt(3)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 24 + (-19 - -43) + 3 + 1 + -11.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*z - 277 - 438, -4*z - 270 = -2*o. Round o to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.13 (b) 0.02 (c) 3312 (d) -4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 11*c**4\/12 - c**3\/6 - c**2 - 79*c. What is k(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - d + d + 0. Let v(q) = -4*q. Let n = 1199 + -1198. Calculate n*u(y) + v(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123 + 127. Sort -4, 0.31, 1, -0.5, f.\nAnswer: -4, -0.5, 0.31, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 215842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147309 - -147312. Let w = -0.8 - -0.4. Let o = -0.3 - w. Which is the second smallest value? (a) i (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 5, 2004, -391\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrritarrxrxrrrx. What is prob of sequence iat?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -59 + 109?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xeea when four letters picked without replacement from eexxaexxeeexxee.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 258*n - 261*n + 5*k - 14, 0 = 2*n + 2*k - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 120?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/6 - 11\/66. Suppose 32*o = -21 + 3 - 14. Which is the closest to o? (a) 24 (b) f (c) 2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 8*x = -4*w + 2247, 3*w = 2*x + 1699. Is 56 a factor of w?\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 mmsmsmssmmmmms?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41\/111 or -0.843?\nAnswer: -41\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280*23\/(-2208) + 18\/(-8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 139408204 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -16, -42, -88, -160, -264, -406?\n\"Answer: -f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:11 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25907085847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 984?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2368 and 444.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/20 and 41\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/444 and 91\/421800?\nAnswer: 421800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466873, 466870, 466867, 466864, 466861?\nAnswer: 466858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i**4\/5 + 304*i**3\/5 - 98*i**2\/5 - 44*i = 0. Calculate i.\nAnswer: -22, -5\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1428*b - 12850. Let g be k(9). Find r, given that 4\/3*r**5 + 4\/3*r**3 - 8\/3*r + 4*r**4 + 0 - 4*r**g = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*((sqrt(1900) + (sqrt(1900) - sqrt(1900)*-2*1))**2*-5 + (1 + sqrt(1900) + -1 - -5*(sqrt(1900) + 0))**2 + 4) + -5.\nAnswer: -250794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - 5*o - o)*(-3 + o**2 + 3)*(23 + 21 - 24) as s*o**3 + m*o**2 + h + n*o and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/(-20) + 1\/(-4). Let y(j) = j + 4. Let t be y(-5). Which is the third smallest value? (a) l (b) -2\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 11*r**2 - 26*r - 6. Let j be h(-13). Let y be j\/27 - (-4 - (-492)\/135). Factor 2\/15*u**2 + y*u - 4\/15.\nAnswer: 2*(u - 1)*(u + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7085, -14859, -22633?\n\"Answer: -7774*h + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-9)\/(-336))\/(-3))\/((-5)\/(1620\/86)) and 41\/16.\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1664142 - -2?\nAnswer: 1664144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 1. Let i(l) = 2*l**2 - 6*l - 4. Let p be i(5). Let o = p - d. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20955 and 132969?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (759\/(-1012))\/((9\/8)\/(-3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 297.9651915722 + 0.0349374278. Let f = -53.8 - 244.2. Let n = f + b. What is n rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/(1566\/(-15660))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10122010221020 (base 3) in base 14?\nAnswer: 38401c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeetgteeetetteg. What is prob of picking 1 t and 2 g?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15375841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + s = 0. Suppose s = 2*b + 18695286 + 62904714. What is b rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/21)\/(a\/(a\/a**(1\/12))) assuming a is positive.\nAnswer: a**(1\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*u - 287*u + 302. Let q be -1 + (-2)\/(-2) + 0. Sort q, 7, -4, u in ascending order.\nAnswer: -4, q, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y**3\/5 + 879*y**2\/5 - 15963*y\/5 + 3936\/5 = 0.\nAnswer: 1\/4, 32, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/28, -3, 0.1030851.\nAnswer: -3, 1\/28, 0.1030851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2528 divided by 158\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.3368 and -20.5.\nAnswer: -437.4044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -159.6 + 160. Let w be 8\/(-12)*(-6)\/(-8). Let m = -689 + 688. Put -6, m, g, w in increasing order.\nAnswer: -6, m, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2671 - 99?\nAnswer: -274a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from rrrevreefe.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f - 14. Let r(c) = c + 5. Let m(a) = -10*r(a) - 3*z(a). Let v be m(6). Solve 3*l - w + 19 = 0, 2*w = -v*l - 2*w - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 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: List the prime factors of 145177.\nAnswer: 145177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1132, 1120, 1108, 1096, 1084, 1072?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4 + 6. Suppose 4*d - 4*p = 4, 5*d - 3*p = -x*p + 13. Suppose -d*r + r + 48 = 0. Calculate the remainder when 69 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8146907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34655, 139796, 315039, 560390, 875855, 1261440, 1717151?\nAnswer: 2242994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + i**2 + i**2)*(-152*i - 8 + 28 - 23).\nAnswer: -304*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 at least 736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-4)*(-40)\/100\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110111 + -11?\nAnswer: -110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 8*z - 62981 - 25041. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -253.219 + 0.219. Let i = -252.999999382 - k. Round i to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 9*y**2 - 10*y - 7. Let v be t(-8). Calculate the common denominator of (v\/(-6))\/(12\/(-148)) and -29\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311260359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16333664, 16333662, 16333660, 16333658?\nAnswer: 16333656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -1.3. Is p greater than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*21\/(-6)*1. Suppose 3*y + 1 - h = 0. Find the third derivative of m**2 + 7*m**y - m**4 + 3*m**2 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.1 (b) 5 (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*630\/(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 55 - (-31 + 14 + 45)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8211 - 8211.5. Which is the nearest to -1\/7? (a) 1 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 86. Let h = 34 - g. Is 662\/(-4)*(h - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**16\/(b\/b**(-14)) assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 41. Let o be 0*y\/4 - -1. Let m be (o\/(-2))\/((-8)\/(-304)). Sort m, 4, 5, 2 in increasing order.\nAnswer: m, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.242 and -24?\nAnswer: 5.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 117*j - 82*j = 145, -j = 3*o + 43 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -1\/4191 (c) 0.4 (d) 0.5 (e) 2\/1001\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 * 6\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 202335 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12368831 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 5 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14492?\nAnswer: 2, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 2*l + 20. Suppose 0 = 3*n + 4*z - 20, 3*z - z = -3*n + l. Is 0 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/((-3)\/(-18)). Let a be z\/(-10) + 26\/(-10). Let m be 3 - 3\/(9\/a). Solve -2*j + m*n - 6 = 0, -6 = -4*n - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -261, -1052, -2379, -4248, -6665?\n\"Answer: -r**3 - 262*r**2 + 2*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**5 - 8*p**5 + 19*p**5 - 5*p**2 wrt p?\nAnswer: 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*p + 34 - 24 = 0, -4*p = x - 30. What is the remainder when (87\/9)\/(2\/6) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694549669?\nAnswer: 11, 3463, 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.294 + 0.094. Let f = 5.1 + o. Which is the biggest value? (a) -0.6 (b) f (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10932\/405 - (-76)\/((-7372)\/2619)\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/9 + 5*n**2\/3 + 3*n - 27 = 0. Calculate n.\nAnswer: -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*m = -0*m + 77, -b + 17 = -m. What is the remainder when 222 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2144321 - -151320?\nAnswer: 2340041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3267) + 0)*-1)**2.\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374342661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.9 + 192.81465.\nAnswer: 139.91465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14754188 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 104*3\/(-3 + 9). Let q = y - 28. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 - 13*c + 25. Let t be (930\/(-8))\/3 - (-12)\/16. Let q = -28 - t. Let g be n(q). What is g rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 4238828?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -12, -f - 4*o = -2*o + 41. Let v(l) = 104*l - 278. Let z be v(3). Let s = z + f. Which is smaller: s or 1\/12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -14. Find the third derivative of 0*p**2 + 7*p**4 - p**4 + 0*p**4 + 2*p**d wrt p.\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 33 = y + 4*n, -3*y + 27 = -2*n. Suppose -4*g = -1 - y. Solve 0*s = g*v + 2*s - 2, v = s - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 46*i - 459. Give u(-32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1\/h)**(9\/5)*h**(4\/9)*h*h*h**6*h*(h*h**0)**(-6\/7)*(h\/(h\/(h*h\/(h**(1\/2)*h))))**(-5\/9) assuming h is positive.\nAnswer: h**(2123\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0744*2.54322.\nAnswer: -0.189215568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 34. Suppose 76 - 436 = 20*i. Determine z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 78\/(-14) - (-2 - -6)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-26) - 3572\/(-611). Which is the closest to -1\/2? (a) 0.6 (b) -0.1 (c) s (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4800 by -600.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**3 - 13*i**2 - 10*i + 3. Let q(m) = -2*m**3 + 5*m**2 + 5*m - 2. What is -2*n(u) - 5*q(u)?\nAnswer: 2*u**3 + u**2 - 5*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 133*o + 893323. Determine j(-1014).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**5 + 32*t**4 - 2217*t**3 - 13408*t**2 + 106028*t - 141360 = 0.\nAnswer: -19, -62\/5, 2, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 - c**2 + 3. Let q = -439 + 444. What are the prime factors of f(q)?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169196709.\nAnswer: 3, 11, 41, 125053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**3 + 4497107*h**2 - 2*h - 29321790 wrt h?\nAnswer: -3*h**2 + 8994214*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1328*d + 60385. Calculate v(-45).\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96899255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y + 101. Determine o(-34).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*12783479\nAnswer: 10226783.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.1167 rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80*(-378)\/(-1350)*35\/(-14).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szv when three letters picked without replacement from svsshsvohvvohz.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -129.3 - 1\nAnswer: -130.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/4 - 10788\/8. Let s be 4480\/(-12)*n\/(-4). What is s rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 126. Let x = a - -91. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52618230 is divided by 222?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-414*z - 201*z - 51*z)*(3 + 3*z**4 - 3).\nAnswer: -1998*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*a - 32 + 14, -18 = -3*v + 2*a. Suppose 0 = -7*j + 3*j - 3*n + 19, 0 = -4*j + 2*n - v. Is j greater than or equal to -1\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + o**2 - 4*o**2)*(0*o + o + 0*o) + 2*o - o**3 - 2*o as q*o + c*o**2 + l*o**3 + x and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23454.\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*z**2 - 914*z**2 - 738*z**2 - 19*z**2.\nAnswer: -1502*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 1. Let o be t(2). Let b(n) = 4*n - 1. Let w be b(1). Suppose -o*u = -w*u - 274. What is u rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -44*p - 48. Suppose 47*y - 5379 = 14*y. What is the remainder when y is divided by b(-3)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*r**3*w*z - 14*r**3*w - 2*r**2*w*z + 88*r*w + 22*w*z wrt z.\nAnswer: 7*r**3*w - 2*r**2*w + 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1113 - 661. Let a(d) = -r + 452 + d. Let l(h) = -82*h. What is a(l(z))?\nAnswer: -82*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j - 4. Suppose -1749 = -27*g - 1668. Calculate z(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -429 or -411?\nAnswer: -429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 3:32 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or -10.3?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 26 and 24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 578 or 332?\nAnswer: 578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + 40. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 48?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98 (base 10) to base 15.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1. Let k = 133 + -110. Suppose -26*d + k*d = 9. Let a(l) be the third derivative of l**4\/8 - l**3\/2 + l**2. Calculate d*y(j) + a(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 91 = -0*q. Let k be (-1 - (-64)\/1)*(q + 14). Suppose -h + k = -146. List the prime factors of h.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -39, -57, -75, -93?\n\"Answer: -18*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7258*q. Let h(m) = -m. Let s(o) = 3*o. Let z(n) = -5*h(n) - 2*s(n). Give x(z(k)).\nAnswer: 7258*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + sqrt(612) - (sqrt(612) + 4 + 4))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1 (c) -13\/17 (d) -0.1427\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 325?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3*1\/108)\/(-13 - (-250)\/20)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31268 = -20*u - 9968. Is 1064 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b - 2*b)*(1 - 18 + 10 + 3*b).\nAnswer: -6*b**2 + 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.89683 nanometers to micrometers.\nAnswer: 0.00889683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 101 + -4 + 6 + 3. Let u = q - 104. Solve b + u = -s + 5, -4*s + 7 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/5 + k**3 - 7*k**2\/5 + 3*k\/5.\nAnswer: -k*(k - 3)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**3 + 75*v**2 + 59*v - 48. Let i be r(25). Round i to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 9. Let a = -22 - u. Calculate the least common multiple of (-58)\/4*(3 + -5) and a.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(68)\/sqrt(4) - sqrt(17)) + (sqrt(17) - sqrt(85)\/(sqrt(5)*6)) - ((-3*sqrt(85))\/sqrt(5) - (-5 + sqrt(153) - sqrt(153))))**2.\nAnswer: -265*sqrt(17)\/3 + 48653\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -337*f**2 - 2*f - 5. Let i(t) = t. What is d(i(k))?\nAnswer: -337*k**2 - 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 32 = -2*p, 4*p = -377*i + 379*i + 64 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4509?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 36\/5. What is the closest to 1\/4 in -3, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3600480 and -95\/221568?\nAnswer: 14401920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -2.262.\nAnswer: -4.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 911004 - (18 - (-56)\/(-4)). Round v to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 + -74. Suppose 5*l = 4*l - 4*r - 8, -f = -5*l - r. Suppose -l = 9*d - 40. Solve d*q - 16 = 8*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 3*k + 4. Let g be m(-3). Let d be (-5 + -85)*g\/(-10). Suppose 5*o + d = 81. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10060*d + 1386356 - 1386356)*(4*d - 2*d - 3*d).\nAnswer: 10060*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1081055 and 0.1.\nAnswer: 1081055.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.418966 + -10.41911. Let c = 0.45 - -18.55. Let n = c - z. Round n to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/30 - 2*c**3\/3 + 3*c**2. Let t(x) = -2*x**2 - x - 3. Let m(b) = -3*t(b) + 2*w(b). Determine m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 49, -4 in decreasing order.\nAnswer: 49, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13005, 13303, 13565, 13791, 13981?\nAnswer: 14135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27825.\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/19, 4, -1, 1.02, 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834806 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38.052978647 - -38.053. What is g rounded to 7 dps?\nAnswer: 0.0000214","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867552 = -37*a + 57152. Let x = 43033 - a. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -13. Let j = 4 + o. What is the units digit of j - (4*-2 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1445, -5622, -12599, -22382, -34977, -50390?\n\"Answer: -b**3 - 1394*b**2 + 12*b - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78740252, -78740256, -78740260, -78740264, -78740268, -78740272?\nAnswer: -78740276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = -4*y - j, 8 = 4*y + 2*j. Suppose -10 = -3*x + 4*p, -2*x + 8 = -2*p + y. What is the smallest common multiple of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -28695 and -229561\/8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.94 - -0.06. Let q be (0\/5)\/(-6 + 8 + 6 + -6). Which is the closest to q? (a) -1\/4 (b) y (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (270\/90)\/(((-105)\/28)\/((-6)\/(-32))).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*s = -5, l - 2*l - s + 9 = 0. Sort l, 20, -0.1.\nAnswer: -0.1, l, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61123*d**4 - 2*d**3 - 114558*d**2 wrt d?\nAnswer: 1466952*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1248 - -1247.497. Let t = -111 + 111.047. Let n = y - t. What is n rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 22. Let y be ((-36)\/(-6))\/(-6)*(-31 - 0). Let c = y - z. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from {k: 6, w: 3, h: 4}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 - 1614*h**3 + 1612*h**3 + 1 + 0*h**2 as a + d*h + l*h**2 + c*h**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-12\/7)*u*u*u**(-5\/8) assuming u is positive.\nAnswer: u**(-19\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -247 - -274. Solve 2*s + 37 = v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33033212301 + -2?\nAnswer: 33033212233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 688. Let x = -520\/3 + w. What is the closest to 0.1 in 1\/7, x, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 4\/53, 0.5, -0.3, -3 in decreasing order.\nAnswer: 0.5, 4\/53, -2\/9, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 427b (base 15) in base 11?\nAnswer: a628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -37. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -27 (b) 0.3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 11. Let r(h) = -h - 5. Let k(x) = -3*q(x) + 5*r(x). Suppose 47 = -4*b + 11. Let n be k(b). Do n and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 equal to -2892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6547*q + 150578. Calculate z(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w - 7. Give f(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 n, and 1 o when three letters picked without replacement from oreernnrre?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-7 + -17 + 12) - -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, n: 1, m: 3, f: 1, t: 5, s: 1}. Give prob of picking 1 m, 1 v, and 1 n.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6883 < 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1392\/203 - 12) + 2\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 t when three letters picked without replacement from tlwwtv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -5*a + 4, -5*a + 5*x - 5 = -0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7 - 7 - 63*b**4 - 1628*b**2 - 192*b**4 wrt b?\nAnswer: -6120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -204, -217, -226, -225, -208, -169, -102?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/3)*r)*r)**(1\/41) assuming r is positive.\nAnswer: r**(4\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*0*1\/(-3))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61541.57 rounded to the nearest 1000?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q = -26*q - 546. Suppose -32*o + 1440 = -q*o. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7158*y - 14*y**2 + 14225*y - 7067*y. Let n(d) = -d. Let a(h) = -4*h. Let z(p) = -a(p) + 5*n(p). Determine z(t(i)).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7539.604ug in nanograms?\nAnswer: 7539604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - 2*x**3 + 4*x**3 + (-29*x + 5*x**2 + 0*x**2 - 3*x**2)*(18 - 18 + 3*x) + x**3 - 2 + 2.\nAnswer: 8*x**3 - 87*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -270*i + 1. Let k(j) = 4*j. Give k(a(u)).\nAnswer: -1080*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 + 4.1. Let y = -45302.3199 + 45305. Let t = w - y. What is t rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(sqrt(1216) + 0)**2*-3)*-3.\nAnswer: -21900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q - 12. Let o = 30 + -29. Let d(c) = -1. Give o*p(g) - 12*d(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1143)\/5 + 4\/(-10))\/(-35). Let r be ((-2)\/4)\/(21\/258). Let c = w + r. Is -0.3 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-10) - 7\/(-28)*2919\/140 and 101\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppeekkjpeek. What is prob of sequence pjk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -611, -4, 47, 21 in decreasing order.\nAnswer: 47, 21, -4, -611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/9 - 19100*a**2\/9 + 45620344*a\/9 - 91164304\/9.\nAnswer: 2*(a - 4774)**2*(a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 19*z**2 - 3*z. Let g(b) = 2*b**3 - 20*b**2 - 3*b. What is 3*g(k) - 4*n(k)?\nAnswer: 2*k**3 + 16*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from fbbgdbbbd.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.76504769576 - -1389.19304317424. Let a = -1390.57809 + b. Let m = 0.62 + a. What is m rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -1) + -38 + 32 - (0 + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 6. Let w be 27\/n*1*2. What is the units digit of 8\/36 + (-178)\/w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.9. Let h = -16 + 11. Which is the second smallest value? (a) s (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {r: 1, d: 4, m: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1103064951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120168784.\nAnswer: 2, 17, 441797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 19547.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -68, 9, 138, 319?\n\"Answer: 26*o**2 - o - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -114156 (base 7) to base 3\nAnswer: -1001100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -137308 and 0.1369.\nAnswer: -18797.4652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-23.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102694984, -102694961, -102694902, -102694789, -102694604?\n\"Answer: 3*c**3 + 2*c - 102694989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c + bd2?\nAnswer: c0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1258782 and 1353.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + 79 + 10 - ((-16 - -39) + -23)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -30 + 639. Let g = 91 + o. Solve j + p = 9, g*p - 25 = -j - p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 9\/10*t**5 + 0*t**2 + 0*t**3 - 5\/4*t**4 - 17*t + 0. Find the third derivative of f(v) wrt v.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 441182 (base 10) to base 2\nAnswer: 1101011101101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 - 0.01519.\nAnswer: -0.61519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.07541 * -0.5\nAnswer: 0.037705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, 0, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 0*x - 3*x + (-44*x - 42*x + 42*x)*(-4 + 1 + 2))*(-2*x**2 + 2*x**2 - 2*x**2) in the form h*x**3 + q*x**2 + m*x + d and give h.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 - -186. Let x = g + -96. What is the greatest common divisor of x and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -28, -0.3, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/6 = 270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/15*8\/28*6.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 15. Let z be y(-9). Solve 5*j - 4*v + 7 - 20 = 0, 0 = z*j + 5*v - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8393 is divided by 2098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 16 - (-1 + 2 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -1175617.8.\nAnswer: 1175616.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 536*o. Let d(y) be the first derivative of 2*y**3\/3 - 310. Give d(h(g)).\nAnswer: 574592*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.9152082 rounded to 2 dps?\nAnswer: 48.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1260\/(-1680))\/(3*1\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(2\/(-3)))\/((-6)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2 + 14. Let u be m*6\/(-9) - 8. What is the remainder when 14 is divided by 0\/2 - (u + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 13 = 2*l, 4*w = l - 2*l. Factor 0 + 69*x**2 + 13*x**l + 12*x**4 - 7*x + 35*x + 70*x**3 + 4.\nAnswer: (x + 1)**2*(5*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190*r**5 - 3*r**2 - 19*r wrt r.\nAnswer: -11400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.403 + 0.903. Let r be ((-2)\/(-6))\/((-9)\/18). Suppose 0*w = -3*w + 15. Which is the second biggest value? (a) w (b) r (c) l (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59809070*g**3 - 350922742 wrt g?\nAnswer: 179427210*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -25*a + 6. What is h(6)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 2, m: 1, s: 1}. Give prob of sequence cm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -29, -45, -51, -41?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 2*z + 20, 3*r - 4*z + 8 = -7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1217\/9 - 135. Let c be 9 - (-7 - 426\/(-27)). Let -c*t**2 + 2\/9*t**4 + 0 + 2\/9*t**3 - n*t = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*y**2 - 45*y wrt y?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 737.3297mm?\nAnswer: 73.73297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -151827*b**3*f*w - 837*b**3*w + 3*b**3 - 10*b**2*w wrt f?\nAnswer: -151827*b**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1124 (base 5) to base 7\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 78 = 37. Solve -4*y - 131 + 110 = -k, -a*k = 2*y - 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*f**4)*(-23 - 7 + 5) as a*f + t*f**2 + k + u*f**3 + z*f**4 and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.69912 to one decimal place.\nAnswer: 32.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**3\/17 + 3250*r**2\/17 + 2*r\/17 - 3250\/17 = 0.\nAnswer: -1, 1, 1625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -194910011340 - -0.61.\nAnswer: -194910011339.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-870)\/(-232) - (-1)\/((-8)\/(-2)). Solve 0 = 2*k + 2*f + 10, 0*k - 2*f = p*k + 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 0 (c) 4 (d) -0.2 (e) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1460007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204133334 (base 5) to base 4.\nAnswer: -3033111003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 5*h**4\/12 - h**3 - 3*h**2\/2 + 3*h + 509. Calculate y(5).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 11. Let d be (0 - -14)*((-15)\/6)\/(-5). Find the third derivative of -2*o**2 - 3*o**2 - 2*o**2 + 0*o**2 - d*o**u wrt o.\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53231705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0108? (a) 3 (b) -1582.51 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -10. Suppose l = -l + 3*g + 6, 0 = -3*g + 6. Let w be l\/(-8)*v + 4. What is the second biggest value in -0.3, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/39 - 10\/13. Let r = -150 + 145.1. Let f = 4.5 + r. Sort 0, g, f.\nAnswer: g, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:34 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -260*z**2 + 5*z + 8. Let t be v(-3). Let c = -1481 - t. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1366.6 + 3066. What is t rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i - 11. Suppose -g + 4*g = -24. Let q be m(g). Suppose -q = -3*o + 4*w - 3*w, -o = 5*w + 1. Calculate the remainder when 55 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 18*k - 134, -11*z - 7*k = 11*k - 13*k - 62 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 - 904*l + 3492. What is o(150)?\nAnswer: 2892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4440)\/((88\/(-33))\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 96325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -1 + 4 + -3. Suppose -4*m - 3 = -7. Solve d*p + 7 = -m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 + 2*y**2 + 3*y + 4. Let f(k) = 16*k**3 - 11*k**2 - 16*k - 21. Suppose 5*w + 731 = 721. Determine w*f(n) - 11*c(n).\nAnswer: n**3 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 52 = -2*n, -5*n + 4*d + 127 = -6. Let s(v) = 5 + 2 + n*v**3 - 29*v**3 - 8 + 0 - 5*v. Let i(z) = -3*z**3 - 4*z - 1. Calculate 5*i(m) - 4*s(m).\nAnswer: m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 105.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4 - 2*i**3 - 2*i**2 + 2*i = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 3:15 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = 5*l, 0 = -3*l - 3*i + 4*i - 6. Let m be l\/2*12\/(-9). Is 87\/3 - (m + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/4*((-1875)\/(-500))\/((-70)\/(-32))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1018185415 minus 21506?\nAnswer: -1018206921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(15\/(-3)))\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -4 - (0 - 0 - (-1 + 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 127 = 199. Solve -4*a - s = -0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230180 a multiple of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 4*j**2 - 3*j - 7. Let x be v(-5). Let z = 29 + x. Calculate the remainder when 107 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 11*p + 2. What is f(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6762*m = 6488*m - 27948 for m.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 4*r - 24 = 0. Solve -2*q - 19 = r*v + q, 0 = -5*v + q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1383 - 547. Let c = 1722 - t. What are the prime factors of c?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 5. Let y be q(-7). Suppose 2*i + 66 = y*o, -2*i - i = 6. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 446532*p + 4620. Let h be n(40). What is h rounded to the nearest 100000?\nAnswer: 17900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/9 and -83\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i\/(i\/i**(-18\/13))*i)\/(i*i**(-2\/17))*(i*i**(12\/13))**(-3\/4))**(-3\/28) assuming i is positive.\nAnswer: i**(-771\/24752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 219, -14, -1, 1, 0.\nAnswer: -14, -4, -2, -1, 0, 1, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 6*c. Let w(h) be the second derivative of -h**3\/6 - 2*h + 1. Give w(v(m)).\nAnswer: -m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18140*j*o**2*s**2 + 10*j*o*s - 6*j*o + o**2*s**2 + 3*s**2 wrt o.\nAnswer: -36280*j*s**2 + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-2977)\/(-252816)*-46)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l + 0*l)*(-2331 + 959 + 378) + (-3 + 0 + 2)*(l + l - 3*l).\nAnswer: 995*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17c1f3 (base 16) to base 7\nAnswer: 16143204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 375600.\nAnswer: 751200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-6)*(-96 - 6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49, 68, 129, 250, 449, 744?\n\"Answer: 3*i**3 + 3*i**2 - 11*i + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 0 (c) 0.22 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 6. Suppose -5*b + 3*b + 46 = j. Let x(w) = w + 13. Calculate the remainder when b is divided by x(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*p**3 - 152*p**2?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -40299?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4221, 4216, 4211, 4206?\nAnswer: 4201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57794 is divided by 1070.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 3. Let p be (-10 - -1) + (0 - -6). Let i(n) = 3*n + 3. What is p*r(j) - 2*i(j)?\nAnswer: 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(55)*-1)\/(sqrt(891)*-1).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, 124, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 g when four letters picked without replacement from gxxgjxx.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 8*l**2 + 6*l + 4. Let g be x(5). Let k be 4604\/g + 2\/(-3). Let r = 54 - k. What is the nearest to 1 in 0.5, 0, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 3. Let q(y) = -2*y**2 + y**2 + 0*y**3 + 6 + y - y**u. What is the units digit of q(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22115 to the nearest 100.\nAnswer: -22100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -1) + (-1708 - -1690).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1331)*-4 + (sqrt(11) - (-2*sqrt(11) + 2)) + -5 + sqrt(22)\/sqrt(2) + 4)**2.\nAnswer: 240*sqrt(11) + 17609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3892*z + 3888*z + 2 = -2*x, 4*x + x - 15 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*w + 642314538 = 19493538. Round w to the nearest 100000.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - v - 5 - 8 = 0, 12 = -3*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32349 - 32347. What is the second smallest value in -5, n, 30?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-18))\/(-1)*2\/(-16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**4\/3 + u**2\/2 - u - 2. Let i(k) be the first derivative of o(k). What is the units digit of i(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ee48 - -2c?\nAnswer: -ee1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 3*c - c in the form t*c + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*v + 4*v**2 - 240 + 16*v**2 + 96 - 2*v**3 - 48*v + 86*v.\nAnswer: -2*(v - 6)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6453728 at most as big as -6453729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -0.09, 1 in descending order.\nAnswer: 1.5, 1, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**3*z + 212*n**3 + 674*n*z - 2*z + 4196519 wrt n.\nAnswer: -3*n**2*z + 636*n**2 + 674*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -186.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30c1dc (base 15) to base 7\nAnswer: 25466046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 10 = 2*w, 3*r - r - 14*w = 60 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -33) + (-1 + 3 - 0) + 11\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c**(-3\/10)*c*c)*c)\/c*c)\/c*c)\/c**(-1\/9))\/(c**(-1\/3)\/c*c**(2\/9)) assuming c is positive.\nAnswer: c**(137\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3018 + -2964. Put -4, -1, x, 5 in increasing order.\nAnswer: -4, -1, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/18*(-6)\/(-20). Suppose 0 = 5*u - 10 + 30. Let z be -1 + 2 + (-18)\/15. What is the second smallest value in k, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-4)*x*x\/x**(-1))\/(x**24\/(x**(10\/3)*x*x)))**(-37) assuming x is positive.\nAnswer: x**(1184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojb when three letters picked without replacement from olxjb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 745, 1661, 2941?\nAnswer: 4585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Suppose -p + z*p + 2*h = 2, 4*h - 2 = -3*p. Suppose -3*x = p*x - 60. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1282159 - 1282105 = 9*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 2*v - 6 = -2*b, 0 = 5*b + 4*v - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2\/3 (c) 11 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -840*d**5 - 32*d**2 - 90*d.\nAnswer: -50400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - a - 12 = a, 0 = -3*q - 2*a + 2. Suppose -q*x + 14 = 5*y, -19 = -5*y + 5*x + 16. Let w = -3 + y. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -119*z**2 - 42*z. Let m(i) = -14*i**2 - 5*i. Determine -5*h(f) + 42*m(f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5653893327 to the nearest integer?\nAnswer: 75192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17 (b) -1066 (c) 3\/5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 0 + 10, -5*j - 4*v + 548 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.1 (b) 2\/31 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 694*f. Let u(a) = -4*a. What is u(j(p))?\nAnswer: -2776*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (108\/(-1701))\/(7*18\/(-441)). Let w = 0.68 + -0.6. Which is the second smallest value? (a) v (b) 3 (c) 2 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v**5 + 140*v**4 + 145*v**3 - 390*v**2 - 580*v - 200 = 0.\nAnswer: -1, -2\/3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/4, 4 in descending order.\nAnswer: 4, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 4668\/9461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1846340 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 - -284. Suppose -3*z = 55 - g. Calculate the highest common factor of z and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbb when three letters picked without replacement from {c: 3, b: 17}?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-4)\/34) - (-22 - (28 - 39))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 5296.\nAnswer: 10592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-910))\/((-8)\/164). Let g = l - 1\/546. Let y = 12 + -11. What is the closest to y in -2\/7, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let p(h) = -11*h + 15. Calculate t(p(m)).\nAnswer: 121*m**2 - 330*m + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063 (base 8) in base 5?\nAnswer: 4223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -737 + 375. Let o = 723\/2 + c. Which is smaller: o or 0.32?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 e when three letters picked without replacement from eeeeseseeeeeessees.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 + 11?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/238 and -31\/238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5069147 is divided by 1945.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 + 45 - 150 + 53 - 96*q as y*q + k and give y.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/12)*g**(2\/11))\/(g**0*g)**(-44))**(7\/2) assuming g is positive.\nAnswer: g**(40901\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30081197 * -2.\nAnswer: 60162394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117012 divided by 588.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2891268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 658, -5, 430, 2, 3 in ascending order.\nAnswer: -5, 2, 3, 430, 658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y + 2*y)*(2 - 2 + 2*y) + 1770*y**2 + 1943*y**2 - 3373*y**2 + y - y**2 - y.\nAnswer: 347*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -6. Solve j + j = -4*x + 8, j + a*x - 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5896, -11790, -17684?\n\"Answer: -5894*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from dajddssjssddjsdajd?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, r: 2}. What is prob of picking 2 d and 2 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 417, 787, 1417, 2313, 3481, 4927, 6657, 8677?\n\"Answer: n**3 + 124*n**2 - 9*n + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80755 by -86.\nAnswer: -80755\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223 - 223.1. Let x = -4 + 1. Let w = 171\/415 + -1\/83. Which is the third biggest value? (a) o (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17694 - 3027. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, g: 2, x: 1, i: 7}. What is prob of sequence jjii?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 3:15 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 385 - 381. Solve -2*x = 5*l - j - 1, -x - 2 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, x: 6}. What is prob of picking 2 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l**2 - 7*l - 6. Let a(j) = 5 + j**2 + 0*j**2 + j - 2*j**2 - 4. Let g = 0 - 1. What is g*z(f) - 6*a(f)?\nAnswer: -3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.06 + 0.06. Let r = -16.2 + 24. Let a = r + c. What is the closest to 0 in a, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Let r = 4 + w. Let i = 3.7 - r. Which is the third biggest value? (a) i (b) 2 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 - 83*b**3 + 1415*b**2 + 83*b - 1416 = 0.\nAnswer: -1, 1, 24, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1147\/2709 + 2\/387. What is the second smallest value in 1, 1\/6, -3\/7, b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0788374753 take away 6467?\nAnswer: -6465.9211625247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 7. Let y(a) = a**3 - 7*a**2 + 2*a - 9. Let i be y(7). Determine b(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -870 = -69*g + 234 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 4. Let v = -11 - t. Sort 3\/5, -9, v in descending order.\nAnswer: 3\/5, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100101001 (base 3) to base 13\nAnswer: 3157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5579990 + 479990. Round p to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 111*r**2 + 26*r + 68. Suppose -10*t = -6*t - 52. Is y(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3055896*h**2. Let n(j) = -j. Calculate n(f(q)).\nAnswer: 3055896*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126588\/327019*(-1271)\/(-4)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1356*b - 7*b - 543*b + 3 in the form p + l*b and give l.\nAnswer: -1906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000692064 to seven decimal places.\nAnswer: -0.0000692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3331232 - 12003?\nAnswer: -10003301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1477c67 + -6?\nAnswer: 1477c61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -497555 (base 10) to base 5.\nAnswer: -111410210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15370 and 580.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19888, -19931, -19974?\nAnswer: -20017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14023 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1826 + 436?\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*y - 5*p, -5*y + 9*p - 13*p - 19 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kemzg. What is prob of sequence egzk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 2061?\nAnswer: 4\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:36 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 58 = 3*g - 15, 0 = 743*n - 938*n - 4*g - 306 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - -210?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**9\/60480 - j**7\/5040 + 23*j**6\/720 + j**5\/30 - j**2. Let u(z) be the third derivative of g(z). Is u(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6495.748mm to micrometers.\nAnswer: 6495748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*x - 14 = 0, -4*q - q = -5*x + 15. Let b = -64\/15 - 137\/30. Let u = -103\/12 - b. Put 0.8, 2, u, q in ascending order.\nAnswer: q, u, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/195*(-1)\/(-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*x - 11, 4*x + 2 = 4*l + 10. Let z(h) = -4*h + 5 + 2*h - l. Let k(s) = -s**2 - s + 4. Let c be k(0). Calculate z(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.2 - 31.2. Let d = -5.16 + 0.16. Sort d, r, 0.8 in increasing order.\nAnswer: d, r, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1038*n*u + 761*u + 1 with respect to n.\nAnswer: -1038*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**4\/96 - 337*x**3\/12 - 113569*x**2\/4 + x - 1766. Factor u(f).\nAnswer: -(f + 674)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 60 = 5*i, 4*u - 3*i - 75 = -u. Let t = 37 - 43. Let p = -6.2 - t. What is the nearest to 0.2 in u, -1\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1744 + 1749. Solve -p = 6*u - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 16*b - 146. Solve b = j + 3*j - 2*k, 3*k = 3*j - 27 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*f. Suppose f = 47*k - 50*k + 330. What are the prime factors of k?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43705757*g**4 + 3*g**2 - 7276786 wrt g.\nAnswer: -1048938168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13445140 rounded to the nearest 10000?\nAnswer: 13450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11100197.\nAnswer: 641, 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 961071 + -1?\nAnswer: 961070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 0*o - o)*(-o**2 - 3*o**2 + 3*o**2) - 457*o**3 - 537435 + 537435 - 5*o**2 as f*o + q + u*o**2 + b*o**3 and give b.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhoo when four letters picked without replacement from {b: 5, p: 3, h: 5, o: 2}.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2\/13, -96?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.651 + -142.349. Sort r, -3, 1 in descending order.\nAnswer: 1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 451*l**3 + 121*l**2 - 121*l - 121. Let f(u) = -15*u**3 - 4*u**2 + 4*u + 4. Let d be 1*(4\/(-9 - -5) - 120). Determine d*f(w) - 4*b(w).\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5504078182 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:25 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111122 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 -29166 rounded to the nearest one hundred?\nAnswer: -29200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-6)\/(-60))*((-9)\/63 - 1805\/(-1463)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + b**2 + 29*b - 5. What is n(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -28*w**3 - 6*w**2 - 4*w. Let m be x(-1). Let k = m + -19. Let s(o) = 11*o. Let u(r) = 10*r. Determine k*u(y) - 6*s(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**2\/2 + 7*j - 1. Suppose 3*w + 3*w = 2*w. Calculate d(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4288*s - 17062. Calculate p(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(35)\/sqrt(5)) - sqrt(288)*-1) + -2.\nAnswer: -2 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5282b (base 13) in base 15?\nAnswer: 2e05d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (108\/8)\/((-1)\/(-2)). Let i be 9\/h*(6 - 0). Suppose 3*f - 1 = -i*n - 2*f, -f = n - 2. Let c(g) = -2*g - 4. Calculate c(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12532.7856 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*k, 0 = 11*k - 6*k - 3*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 9. Suppose 3 - 19 = -2*d. What is z(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*w**2 + 255*w**2 + 269*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = l - 6, 3*b = -l + 1 - 0. What are the prime factors of (-115)\/(-13) + l\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*(-1776)\/(-370) + 4\/(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592 = -4*x + 3*d, -278 = x - 3*x - 3*d. What are the prime factors of x?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-46)\/(-6))*3. Let f = 21 + n. Suppose f - 3 = -k. Calculate the highest common divisor of 22 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 249*o**2 - 4608*o + 4860.\nAnswer: -3*(o - 1)*(o + 30)*(o + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0686ml to litres.\nAnswer: 0.0010686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1982 + 1982.5. What is the biggest value in -18, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*a, -o - a + 16 - 1 = 0. Let p(j) = 161*j**2 - j - 2. Let b be p(2). Suppose -o*g + 15*g = -b. Does 32 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Let m = 80 - 70.2. Let r = m + -10. Sort 0.3, z, r in descending order.\nAnswer: 0.3, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/208)\/((-3)\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6 = -2*l. Let m(x) = x**2 + 3*x - 7. Let h be m(-5). Let g be 4\/(-42)*(6 - h). What is the closest to g in l, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -23, 3 in decreasing order.\nAnswer: 3, 2, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4462041 (base 11) in base 5?\nAnswer: -4000233001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 22 + 2*i - 14 + 71 + 77 - 3*i. Let c be y(23). What is the greatest common factor of 57 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaaxaaxxxaxxx. What is prob of picking 3 a?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**2 + 27. Let z(y) = -4*y**2 + 13. Let b = -62 - -14. Let k = 39 + b. Let r(d) = k*z(d) + 4*x(d). What is the derivative of r(o) wrt o?\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231249731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -30. Let b be (3 + t\/4)*2. Solve 0 = -b*g + 5 + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 6*x - 2747. Suppose -x = 12*z - 21*z. List the prime factors of z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**2*o**2 + 131*k**2 - 36*k*o**3 - 12*k*o - 17 wrt o?\nAnswer: 4*k**2*o - 108*k*o**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 + 11*r + 6. Let d(z) = -668 - 24*z**3 + 23*z**3 + 669 + 3*z - z. Give -11*d(w) + 2*g(w).\nAnswer: 3*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4110500 to the nearest 10000.\nAnswer: 4110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-719)\/(-2))\/(8\/6112). Suppose 89141 = b - y. Suppose 0 = -5*i + b + 2636201. Round i to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -167 - -46?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -11. Suppose 41*j - 67*j = -260. Calculate the lowest common multiple of j and 5*2\/a*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -76. Suppose -3*m + 5*b = 0, -5*m - 2*b = -0*b. Suppose m = -o - a*v + 36, -5*o + 204 = -3*v + v. Calculate the remainder when o is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Suppose 3 = 2*o - 1. Let z be 2 - (-6)\/3*-1*1. Let g(y) = 2*y + o*y + z*y - y. What is g(p(s))?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/8*(-3 - 7\/(-3)). Factor 0 + 0*c + c**2 - d*c**3.\nAnswer: -c**2*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3602507 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m = 3*m + 110 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**10\/1680 + v**6\/60 - 14*v**3\/3 - 9. Let b(z) be the third derivative of j(z). Find the third derivative of b(x) wrt x.\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u = -38*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 8. Let r = -4 + z. Let a = -12986 + 12991. Solve a*q = q - r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 6*s - 7*s)*(698*s - 698*s + 10*s**2) + (0*s**2 - 2*s**3 + 0*s**2)*(3 - 6 + 0) as q + l*s + v*s**3 + c*s**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -386*s**2 - 3*s + 1. Let a(g) = -g**2 + g. Let p(z) = -4*a(z) - n(z). Let w be p(-1). Suppose -2*k + 5*k = -w. Round k to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(315) + -2*sqrt(315) - sqrt(315))\/sqrt(7)*-5)\/(6*(sqrt(81) - (sqrt(81) - ((sqrt(81)*2*1 - sqrt(81)) + sqrt(81))))).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1584 + -15761\/10. Let n = -199\/30 - -38\/15. Calculate the common denominator of n and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h**4 + 229*h**3 + 44*h**2 - 20*h - 15397?\nAnswer: 84*h**2 + 1374*h + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 + -7.39. Let b = s + 3.7. Let n = -0.5 + b. What is the second biggest value in n, 1, 3, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 + 32.12. Let m = 56 - g. Let q = -29 + m. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 + 47*r**2 - 118*r**2.\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 23128617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 26*n**2 - 129*n - 93. What is q(17)?\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7635.073 + 7685.7. What is j rounded to 0 decimal places?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7794418*n + 60233176 wrt n?\nAnswer: -7794418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 + 21940*p**2 + 1430348*p - 1452292 = 0. What is p?\nAnswer: -5419, -67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**5\/12 + 61*x**2 - x. Let g(u) = 16*u**2. What is n(g(k))?\nAnswer: -1280*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(6\/(-4)) - -1. Suppose 4*q + 0*q + 16 = -4*i, -i - 6 = c*q. Let x(a) = a**2 + 2*a + 1. What is the units digit of x(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3935 + -3103. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.9933?\nAnswer: 2.9799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, t: 4}. Give prob of sequence sts.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 3*i**2 + 13*i - 10. What is the hundreds digit of d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 2*u - 8, -1 = 2*u + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42760168543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1007144 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/7 + 16*o**3\/7 + 38*o**2\/7 + 20*o\/7 = 0. Calculate o.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11257992 divided by -312722\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 18584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/373003740 and -191\/373003740.\nAnswer: 373003740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285736 and 24?\nAnswer: 857208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 1 - -5 - -120. Let r = 122 + z. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 900*o**3 + 1783500*o**2 - 319580000*o.\nAnswer: -5*o*(o - 290)**2*(o + 760)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -25*g**2 - 63*g + 5. Suppose -25 = -5*t - 5. What is the remainder when t*(-23)\/5*-5 is divided by k(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 = 11. Let d = 5 + s. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -160, -358, -634, -988?\nAnswer: -1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 5*z + 3*z. Let r(j) = -7*j**2 + 5*j - 5. Let t(b) = 184*b + 4 + 7*b**2 - 188*b + 0. Let l(d) = -4*r(d) - 5*t(d). Determine s(l(k)).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 43497600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*d = 21 + 4, 0 = q - d - 5. Solve -5*x + 4 + 21 = q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 77?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 3*v + 4*v - 2*v - v + 2*v - 4*v + 0*v + 5*v + (-2*v - 2 + 2)*(-6 + 0 + 4) + 0 + v + 0 - 11*v + 18*v - 18*v)*(-2*v**3 + 1 - 1).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -79285 - -1005576\nAnswer: 926291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*t - 0*t + 4*r + 24, -348*r = -4*t - 345*r + 40 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3, 0.7, 1.4, 0, 44, 1\/4, -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28425.\nAnswer: 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-7) + 5*(-7904)\/(-4180) + -10.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -206005 + 402312. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*s - s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnssnhnnssnnsnsnss. Give prob of sequence nnsh.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1610171 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**3\/7 + 268*v**2\/7 = 0.\nAnswer: -134, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = -3*a, -11*a + 14*a - 3 = 2*v. Let w be (-41)\/82*(-11 + a). Sort w, -2, -10 in descending order.\nAnswer: w, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -11. Let t(x) be the first derivative of 2*x**3\/3 - 5*x**2 - 7*x + 20. Let p be t(6). Solve -p + 17 = -5*b - 2*k, v*b + k + 5 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 6:20 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7\/4)\/((y\/(y*y*y**(5\/9)*y))\/y*y)*y**(-4\/7)*(y\/y**(-2\/61)*y)\/y assuming y is positive.\nAnswer: y**(19475\/15372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2125 and 400.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -6459, -5642 in descending order.\nAnswer: -3, -5, -5642, -6459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.6 + 5. Let l be (-71)\/30 - ((-456)\/90)\/(-38). Which is the second smallest value? (a) l (b) q (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 6*f + 7. Suppose 0 = 5*p + c - 29, -5*c + c + 1 = -3*p. Let l be i(p). Suppose d - 2 = l. Solve 0 = d*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Suppose -4*m = 8, -2*f + 0*m - m - 2 = 0. Let t(y) = f*y + y + 0*y. Calculate t(n(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = m - 2, -11*l + 6*l = 4*m - 8. Suppose 0 = -2*o - 4*n - 22, -6*o - 18 = -3*o + n. Let a be 2*(0 + (-2)\/o). Which is bigger: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (30 + 36 + -11 - 42)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-8*l - 2*l + 2*l) + 0*l - l + 2*l - 5*l + 3*l + 3*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53875474 and 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2096 is divided by 1896.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308 a factor of 47101664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 3*i - 6. Let a(y) = y + 2. Let z(s) = 6*a(s) + 2*h(s). Let d(g) = 198*g**2. Determine d(z(f)).\nAnswer: 792*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 704*c**2*x**2 + 15745714*c**2 - 8269*x**2 wrt x?\nAnswer: 1408*c**2*x - 16538*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 48*g + 6. Let i be 0\/(-24) - (-34)\/(-2). Let l be w(i). Round l to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 517, -4, -3, -97, -0.3, -5968 in descending order.\nAnswer: 517, -0.3, -3, -4, -97, -5968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53203, -106382, -159561?\n\"Answer: -53179*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1832\/(-10))\/((-528)\/660). Which is smaller: 300 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i**(-9\/5)\/i)*i*i*i**34*i**(-4\/23)*i**(3\/32))**(17\/2) assuming i is positive.\nAnswer: i**(2484873\/7360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 9:12 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 34. Suppose 218*c - 125 = 226*c + 27. Determine n(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 3\/1081 (c) 0.3 (d) -0.3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*1 + 6\/1. Suppose 20 = -5*l, -j*l = 5*b - 7 + 30. Let r be (-6 - b)*30\/(-9). Solve -2*i - 35 = 3*i + 4*d, 5*i - d = -r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2365716180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/9, 1\/6, -5, -1\/25, -16, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2*t - 12, -t + 1 = -2*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.477272 centuries in months?\nAnswer: 2972.7264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 297*m - 9484. Let g(o) = 7*o. What is f(g(d))?\nAnswer: 2079*d - 9484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*z + 4*c, 0*z - 2*z + 4*c + 8 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2239 - 6213*t**3 - 2515*t**3 + 972*t**3 - 359 with respect to t.\nAnswer: -23268*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*s + 125, 3 = -s - 3*p + 30. Calculate the highest common divisor of 384 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2318 - -5377. Suppose -5*m - 4*s = -15375, m - c = -0*s - 4*s. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**3 - 5*r**2 + 15*r.\nAnswer: -5*r*(r - 1)*(2*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3370 - 229?\nAnswer: -3599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131973558?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7390873 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = 6. Let n(x) be the first derivative of -5\/3*x**3 + 1\/4*x**w + 2*x**2 + 0*x + 1. Determine n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/4 + 5*w**3\/3 - 3*w - 22. What is the remainder when 52 is divided by v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5\/4 - f**4 + 27*f**3\/4 - 19*f**2\/2 + 4*f = 0. What is f?\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 41) + -12 + 5 + -20 + 13?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 5 (b) -41\/16 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 256990 = -g, 0 = -5*g + w - 449115 - 835880. What is g rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 40, 86, 150, 232, 332, 450?\n\"Answer: 9*a**2 + a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**2*z + 1690289*t**2 + 2*t*z + 2488009*t + 2*z - 2 wrt t?\nAnswer: 2*z + 3380578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + v**2 + v + 2. Let s(y) = -111*y**3 - 5*y**2 - 6*y + 14. Let c(h) = 6*g(h) + s(h). Find the third derivative of c(q) wrt q.\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2023 - 10807?\nAnswer: -8784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**7\/840 + k**6\/72 - k**4\/8 - 55*k**3\/3 + 45. Let u(n) be the third derivative of v(n). Determine u(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5984 is divided by 648?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.66 or 2\/5?\nAnswer: 4.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.213 - 0.003. Let w = 26.89 - 27. Let j = s + w. Round j to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6710\/78843 - -1\/3846. Let v = i - -1277\/410. Solve 6\/5*h**4 + 2\/5*h**5 - v*h - 4\/5*h**3 - 24\/5*h**2 + 0 = 0 for h.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 466160940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9\/6038 (b) 4 (c) -345\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -44\/3. Let i = -6 - -5.6. Which is the nearest to m? (a) -1 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4782, -10701, -18906, -30543, -46758, -68697, -97506, -134331?\nAnswer: -180318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134.7 + -144. Let f = y + -56.7. Let c = -65.99999926 - f. Round c to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2 + 8441*u - 25314 = 0?\nAnswer: 3, 8438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11612 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -737 + 714. Let s(g) = -21*g - 6 + 3 + 2. Let a be s(1). Is r equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 12*b + 4*z = 275, -2*b - 190 = -z. Let s = b - -113. Solve -21 = -3*q + 4*r + 7, s = -q - 5*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -349966\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -6 (c) 0 (d) -7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - t + 16 = 0, 2*j + 580 = -t + 590 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.13 (b) -7 (c) 2 (d) 0.192\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -267246 divided by 2?\nAnswer: -133623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o**2 + 727*o - 1568. What is j(-58)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2. Let k(c) = c**2 - 10*c - 2. Let l be k(12). Let j = l + -1. Let y(m) = 10 - 4*m**2 - j + 11. What is y(u(g))?\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18594803*-20.\nAnswer: -371896060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 9*q - 13. Let s(x) = -11*x + 12. Give -4*n(m) - 3*s(m).\nAnswer: -3*m + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4\/13*i**4 + 0 - 6\/13*i**3 + 2\/13*i + 0*i**2 = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4782220 divided by -785?\nAnswer: 6092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 1\/6, -1, 1\/3 in descending order.\nAnswer: 1\/3, 1\/6, -1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-3 - ((-8)\/4 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**14\/d))*d)**14\/((d*d**(-4\/13)*d)\/d**(-13)) assuming d is positive.\nAnswer: d**(2357\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10 + -1 + -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -47*j**4\/12 - 321*j**2 + 2*j + 2. Let h(v) = 149*v. What is h(z(g))?\nAnswer: -14006*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6479049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*o - 16 = -25*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11)\/55 + (-602)\/(-10).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 876907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028 take away 16128.1?\nAnswer: -16128.1028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.054 - -53.946. Let k = -53 + o. What is the nearest to k in -0.1, -5\/3, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 5*i - 3. Let h be a(-3). Suppose -d - 55 = -4*j, 4*d - 44 - h = -3*j. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 2*h + 123*h**2 - 217*h**2 + 26*h wrt h.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1086 and 1123467?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008535575 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -150, -379, -706, -1137, -1678?\nAnswer: -2335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p + 13*p - 17*p)*(0 + p + 0) + 0 + 2*p**2 + 0 + (3*p - 1 + 1)*(-3*p + 3*p - 2*p) - 2*p**2 + 3*p**2 + p**2 + 14 - 14 + 5*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = z - 4*x, 0*x - 6 = -3*z - 3*x. Let y = -10 - -12. Sort z, 5, y.\nAnswer: y, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 41 = -2*c, -x - 4*x + c = -38. Let a(j) be the second derivative of 25*j**3\/6 + 12*j**2 - 3*j. Is a(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-84)\/(-72)*-3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -112*w**4 - 20*w**5 + 112*w**4 + (2*w - 6*w + 5*w)*(-2*w**4 + 2*w**4 - 2*w**4).\nAnswer: -22*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**6 - 66*h**3*q + h**2*q - 4*h**2 + 54*q wrt h.\nAnswer: -240*h**3 - 396*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mggmm. What is prob of picking 1 g and 1 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 321*h + 12. Calculate p(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5 - 131. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 0.053?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - (-4 + 1)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*b - 32, -4*b - 5 = 2*s + 7. Let l(y) = -782*y**3 + 4*y**2 - 3*y - 4. Let f be l(s). What is f rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 78 - -a?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.52? (a) -3\/8 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3384a - 10b?\nAnswer: -33957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*u - 615*u - 1771 = 0 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-973082.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11739*k + 11772*k + 4*k**2 + 2*k**3 - 2*k**2 to t + w*k**2 + c*k + z*k**3 and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1740099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2334\/54 + (-42)\/27 + (-8)\/(-6). Suppose -53 = -3*g - 3*k + 319, 5*k - 233 = -2*g. Calculate the highest common factor of g and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9 = -4*r. Suppose -y - y = -j + 31, -93 = -r*j - 4*y. What is the remainder when j is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3308267 years in centuries?\nAnswer: 0.003308267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4*h + 50, -66 = -5*m - 3*h + 10. What is the least common multiple of 20 and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 34 + 11. Let l be (-2)\/(((-36)\/m)\/6). Suppose 5*h = -f + h + 12, l*f - 26 = -3*h. What is the biggest value in 0.3, f, -2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 - -134?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -412 + 412 - 13*f to i + l*f and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -107*s**2 - 2*s - 1. Let b be p(-1). Let n = 204 + b. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-330))\/((-50)\/55).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224*d**3 + 53*d**2 - d?\nAnswer: -1344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.02 (c) -1\/4 (d) -1.216 (e) 1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 8*i**2 + 22*i - 101. Give a(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 216 + 2?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/40 - 2)*37\/(1110\/720)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*p**3 + 2*f**2*p - 3*f*p**3 + 4*p**2 + 11*p wrt p?\nAnswer: 6*f**2*p - 18*f*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 9*i**2 - 10*i - 5. Let m be l(8). Let u be m\/9 + (-2)\/3. Let n be (-3)\/(-3) - 18\/14. Which is the nearest to n? (a) 2\/11 (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 + 6*u - 7. Is y(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/(-55))\/(1\/14)*-10. Solve 2*n + 12 = 5*r, -4*r + y = n + 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 240*f = -244*f + 239 - 263, -5*f - 85 = 25*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11924*o**2 - 29925*o + 29925*o as b + i*o + f*o**2 and give f.\nAnswer: -11924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*p, -2*q + q + 75 = 4*p. Let h be ((0\/(-4))\/(-2 + 4))\/2. Suppose -k + q = -h*k. List the prime factors of k.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22834, 40424, 58004, 75568, 93110, 110624?\n\"Answer: -c**3 + c**2 + 17594*c + 5240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*g**4 + 4*g**3 + 25*g**2 + 44*g + 1.\nAnswer: -1104*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-21 + 12 - -26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56975507 to the power of 1\/2, to the nearest integer?\nAnswer: 7548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 6*d + 6. Let j be r(7). Let s = 5 + 1. Let x = s + j. Let a(h) = -6*h**2 - h - 5. Let n(f) = f**2 + 1. Determine x*n(u) + a(u).\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -457634\/5 or -91528?\nAnswer: -91528","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -17 - -3*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -231423.\nAnswer: -2\/77141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/19 + 25929\/213237.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/30)\/(44 + -38)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 9:28 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l + 90. Suppose 0 = 5*j + f - l, 0 = -4*j - 5*f + 98 - 26. What is the least common multiple of j and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -49*m**2 - 13*m + 8. Let w(p) = -17*p**2 - 4*p + 3. Calculate -4*d(j) + 11*w(j).\nAnswer: 9*j**2 + 8*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455873767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 103211112130?\nAnswer: -103211112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27046501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, k: 7}. What is prob of sequence vvvv?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1927 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 + -49.42. Let o = j + 0.02. Which is the smallest value? (a) o (b) -2\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 3 - ((25 - 16) + -13)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1592860 rounded to the nearest 10000?\nAnswer: -1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 2. Suppose -2*n = 0, -a = -3*t - n + 3*n. Let m(p) = -p**2 + 20*p - 13. Let y be m(19). Solve t*q - q - y = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11861 + 11912. Calculate the greatest common divisor of t and 2159.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*w - 68. Let t be 1 + 233\/w + 30\/(-165). What is the highest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(175) - ((sqrt(175)*-2 - sqrt(175)) + sqrt(175))) + -3)*-1)**2.\nAnswer: -60*sqrt(7) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 10*y + 51 - 50 + 0*y + y**2 + 34. What is the units digit of a(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 99bf9 - -20?\nAnswer: 99c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 93033853 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*k - 16, 0 = -4*a + 2*k - 2 - 6. Let l = 1 + a. Let i = 1077 + -1075. What is the nearest to 2\/3 in -1, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18902259*y**2 + 18902261*y**2 - 37804477*y**2.\nAnswer: 43*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 4*h = -5*j + 27, j + 5*h = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 204 - 82. List the prime factors of m.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*c - 4*c. Suppose -k + 14*u - 11*u = -5, 3*k = -5*u + 1. What is the smallest common multiple of c and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**3\/3 + 6*w**2 + w - 16. Suppose 10 = 3*u - 17. Is a(u) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736520467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10 = -5*r, -3*r + 4*b - 2*b - 16 = 0. Let u = 0 - -8. What is the remainder when 4928\/165 + r\/(-15) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2034012 + 3004?\nAnswer: -2031004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 930\/107 - -169021\/2996. Let x = a + -261\/4. Let d be (7\/10)\/((-4)\/10). What is the biggest value in x, d, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12597 or -12594?\nAnswer: -12597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 - 3\/(-9)*21. Put 0, -1, 1, r in increasing order.\nAnswer: r, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 10*c - 9. Is z(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 - 99. Suppose 2*l + 4 = 4*u, u = 4*l + a - 2. Let m(d) = -d**2 + d - 2. Give m(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 6*l - l)*(215*l + 87*l - 67*l).\nAnswer: -1175*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*j**6 - 174*j**4 + 359622*j**2 wrt j.\nAnswer: 4680*j**3 - 4176*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2268)\/184 - (-3 + 6) - -1. Let j = n - 50\/23. What is the common denominator of 145\/246 and j?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 - 136. Let h = -2 - -7. Suppose -v*m - 25 = 5*o, -h*o + 4*m - 3 = -5. Sort o, 5, 4 in ascending order.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - -9 - (-5 + 3)*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (807\/269)\/(3\/(-10))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 0.007, -0.13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7003 and 44227?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 4*q + 7, 0 = 4*a + a + 4*q - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 5, -5, 112 in decreasing order.\nAnswer: 112, 24, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9404 - -131721\/14. What is the common denominator of a and -107\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1018776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/14 (b) 4 (c) 1\/6 (d) 3 (e) 1 (f) -3\/13 (g) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012211101021 + -10?\nAnswer: -1012211101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*k = -11 - 3, 2*k = -2*h + 4. Solve -13 = -5*m + 4*z, 2*m + h*z = -2*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 324256839, 324256838, 324256837?\n\"Answer: -p + 324256840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + -404 + 427 + 0 + -15?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 203368642 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 11:59 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/10)\/(2\/(-4)). Let r = -13 - -7. Let m = 6 + r. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 2. Let l(m) = m**2 + 4*m - 6. Let f be l(-5). Let w(c) = c. Let s be w(-1). Let t be 2 + (s - f) + 1. What is o(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(306)*2 + sqrt(306))\/sqrt(6))\/(1*sqrt(147) + sqrt(147))*-5 + 2)**2.\nAnswer: -15*sqrt(17)\/7 + 4021\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**12*p)\/p*p*p**(-14))\/(p**(-6))**2)**14 assuming p is positive.\nAnswer: p**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0548758451 - 30.1749938549. Let y = -30.23 - p. Round y to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + d**2 + 3*d**2 - 4*d**2 - 2*d**2 + 0*d**2 + (93*d + 261*d + 98*d)*(4*d - 4*d + 4*d) to r + f*d + j*d**2 and give j.\nAnswer: 1803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 2 - -3 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, y: 14}. Give prob of picking 3 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, a: 3}. Give prob of sequence aja.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-42)\/49)\/((-4)\/84) is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1625, -3237, -4841, -6437, -8025, -9605, -11177?\nAnswer: -12741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 140394343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 2) + (6 - 3). Let x be 1\/3 + w\/(-3). Let n(k) = k**2 - k + 3. Let q be n(x). Which is greater: q or 8\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) 183951.7 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 591014 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.90931 decades in years?\nAnswer: 49.0931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 3*v + 4. Suppose 4*k = 3*k + 50. Suppose 0 = 4*t - 14*t + k. What is g(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26250)\/(-105960) + 2*2\/(-16). Is 0 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*z + 1140 - 1140)*(-2*z + 2*z - 2*z)*(5 - 5 + 6).\nAnswer: -804*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + 84. Calculate the highest common divisor of 58 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1728 and -0.2038.\nAnswer: -1728.2038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (4*sqrt(297)*2)\/(3*(sqrt(11) + sqrt(55)\/sqrt(5)*-6 + sqrt(11)))).\nAnswer: -6*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-282)\/(-235)*9*10\/3294.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.4 + -19.4. Which is the closest to -10? (a) -2\/11 (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 1, b: 2, f: 2, s: 7}. Give prob of picking 3 s.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = -3*q, 2 = -4*t - 2*q. What is the third biggest value in t, 4, 7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 697328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, c: 3, w: 5}. Give prob of sequence wqcw.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + x. Let l(h) = 3*h**2 - 8*h + 4. Let z(c) = -2*g(c) - l(c). Suppose -94*n - 118 = 229 - 817. Determine z(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195138372*g**4 + 42416948*g wrt g.\nAnswer: 2341660464*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - -8. Calculate the highest common factor of 96 and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j - 48. Let i = -6944 + 6952. Calculate n(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from mtddddmddtddtmddtd.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -13. Let o = c - 3. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 14312*u\/7 - 14310\/7.\nAnswer: -2*(u + 1)*(u + 7155)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -24*j - 0*j - 135 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + 37 + -12 - 5 - 15.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*h + 528 + 852 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22217*-0.3.\nAnswer: 6665.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/12 and 1\/365946792.\nAnswer: 365946792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - 6*b**2 + 25*b**2 - 11*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/14*8\/(-144)*63.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - a = 4, 0 = -5*a - 3 - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 2, 0, 5 in descending order.\nAnswer: 5, 2, 0, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254, -5, 2.\nAnswer: -254, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -24. Suppose -48 = -u*w - 4*q, -4*w + 64 - 22 = 2*q. What is the greatest common factor of w and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 z when three letters picked without replacement from mzhmzzmhz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (6 - (5 + -9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 569*h**4 + 3*h**3 - 1605*h**2 + h + 15168911 wrt h?\nAnswer: 6828*h**2 + 18*h - 3210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/154 and 61\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 1378?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**2\/2 - 2*r. Let j(b) = -b**3 - 13*b**2 - 13*b - 11. Let i be j(-12). Let v(y) = 2*y. Calculate i*d(p) - v(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, j: 3, x: 3, q: 2}. Give prob of sequence jjc.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 27*g. Let m(a) = 14*a. Calculate c(m(u)).\nAnswer: -392*u**2 - 378*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:35 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 8 = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1725, 6897, 15513, 27573, 43077, 62025, 84417?\nAnswer: 110253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4335 = 5*d - 735*u + 733*u, 5*u = d - 844. What is the greatest common factor of d and 553?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2885 - -2884.5834. What is d rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 14 + (-49 - 8) + 38.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/300*-3*-5)\/((-1)\/15).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13824, 13790, 13756?\n\"Answer: -34*k + 13858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-1 + -4)) + (-48)\/(-8). Let f = -177.5 + 177.9. Which is the nearest to 0? (a) w (b) 1\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2. Let c(p) be the second derivative of 5*p**4\/2 + 25*p. Calculate c(f(u)).\nAnswer: 120*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 193050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 253159454 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -462 + 462.03. Which is the second biggest value? (a) -2\/7 (b) -0.2 (c) 2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2024, -8099, -18224, -32399, -50624?\nAnswer: -72899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23535423 (base 6) to base 3.\nAnswer: -1101210100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + 4*(4 + 5 + (sqrt(1008)*-1 - sqrt(1008) - sqrt(7)))**2 + -2.\nAnswer: -1800*sqrt(7) + 17818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11102577.\nAnswer: 3, 151, 24509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*t - 12, 3*t = -2*l - 10 + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11240663 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-36) + (-394)\/56 and -69\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/7 - 17\/(952\/(-16)). Solve 4*q**w + 103*q**4 - 2*q**2 - 99*q**4 - 2*q**2 - 4*q = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hbbths.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 92*h + 1952. What is y(-21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -6, 3, -0.2, 0.5, -224.\nAnswer: -224, -6, -0.2, -0.09, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*b - 91*b = -18*b - 1362. Let g(l) = 42 - l + 2*l - 3*l. Is 6 a factor of g(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkhkkbkfkkkkbk. Give prob of picking 2 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 417664 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36042\/(-21)*27\/((-162)\/84)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 184 = 51 + 85 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1737 - 1739. What is the closest to n in -4\/9, -1\/4, 1, 18?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-133*g**2 - 266*g**2 - 247*g**2)*(0*g + g + 0*g) in the form v*g**2 + h + i*g**3 + z*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/14*(-5)\/1*181972\/(-1340)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:52 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1130 + 112411?\nAnswer: 114041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0*x**6 - 331\/210*x**7 + 73\/8*x**4 + 0*x + 0*x**3 + 73*x**2 - 1 + 0*x**5. Find the second derivative of q(g) wrt g.\nAnswer: -3972*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (216\/(-684))\/((-3)\/(-171))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90274 - -185001. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2133 + 1791 = 12*y + 3*i, 0 = -4*y + i - 118 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00455 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38541 is divided by 803.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14401 - -11?\nAnswer: -14360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 16 = -2*q + 24, -3*o + 3*q - 30 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13202112 (base 5) in base 7?\nAnswer: -1055322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*x + 2, 33*u = 34*u + x - 1. Solve 3*p - u = -5*q, -6*p + 4*q = -5*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17381 is divided by 172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (0 - -2) - (433 - 440)) + 35 + -32?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/(-756) - -8*14\/(-504). What is the closest to -7 in 1, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**5\/9 + 16*a**3\/9 + 4*a**2\/3 - 14*a\/9 - 4\/3 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 + 0 + 1 - 1.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*l - 71*l + 200 = -158*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000352297 to six decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225241269.\nAnswer: 3, 11, 131, 52103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2 and -23\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddddddduddddddddddud?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60056 is divided by 20015?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100383 - -1.\nAnswer: 100384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 17*t + a = 139, 0 = -5*t - a + 340. Find the second derivative of -20*w + 17*w**2 - t*w - 96*w + 5*w**2 - 6*w**2 wrt w.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3895*((-56)\/20 - -3).\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 10:55 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -45. Calculate the remainder when v is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -2. Let r = 11 + -8. Suppose -r*f = -2*i - 4, 3*i = 5*f + i - 8. Solve 3*n - x = x - c, n + f = -5*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 10*y**2 - 17*y - 65. Let d be g(-11). Is 1\/17 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -43532*b - 15. Let k be j(-12). Let a = k - 82366. Let x be -3 - (-4 + 3)*a. What is x rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 2*j + 6*j**2 - 560 + 567 + 2*j**3. Let v be t(-6). Suppose -5*u + 10 = -3*u. Which is the biggest value? (a) -0.5 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75657 - 53550. What are the prime factors of g?\nAnswer: 3, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0451 * -4411.\nAnswer: -198.9361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -200998489*-1\nAnswer: 200998489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 293122 <= 293124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*u + 238. Suppose 7 = -9*n + u. List the prime factors of n + 18\/(-7)*(-392)\/7.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**4\/12 - 5*j**3\/2 - 19*j**2\/2 - 6*j. Let n be z(-9). Let v = n - -438. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**7\/357 + t**6\/51 + t**5\/170 - 13*t**4\/102 - 2*t**3\/51 + 8*t**2\/17 + 565*t. Find c, given that i(c) = 0.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 2:17 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -3 (c) 176 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -277747 and -1.\nAnswer: 277747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.5 + 40. Let z = 152\/5959 + -6\/101. Let i = 76\/1239 - z. What is the second biggest value in i, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 22*s**2 + 78*s + 580. Let x be m(-10). Suppose 3*k - 20 = -2*k. Sort k, -5, 5, x in descending order.\nAnswer: 5, k, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (-49 + 100 + -88)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5248 and -83\/12480.\nAnswer: 1023360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1458470 by -10.\nAnswer: 145847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*j + 90 = 89, 0 = 4*l + 3*j + 27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -796*c + 680\/3 + 28\/3*c**2.\nAnswer: 4*(c - 85)*(7*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.0805, -1720, 0, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 216\/(-32) - (122\/305)\/(424\/(-1385)).\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 4, 2\/5, 4998?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 12. Let a be z(17). Let q(r) = 12*r - 47. What is q(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 + 75. Suppose -4*t + 182 + 404 = n, -w*n = 8. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856.1105um to millimeters.\nAnswer: 0.8561105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925908 (base 10) in base 12?\nAnswer: 78a644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 1712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*j - 2*q - 98983, 2*q = -j + 32999. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 179. Let l(m) = -1067. Let z(r) = -l(r) - 6*y(r). Let n(p) = p + 1. Let w(s) = -s - 1. Let d(k) = 3*n(k) + 4*w(k). Determine 6*d(h) - z(h).\nAnswer: -6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1753 is divided by 165?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*i = -4*y - 67*i + 210109, 4*y - 210151 = 5*i. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*q - 7*q - 3*q**2 + q**2 + 21*q)*(-q**2 + q**2 - 7*q**2) - 74*q + 117*q**4 + 74*q.\nAnswer: 131*q**4 + 91*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3274, -3271, -3268, -3265, -3262?\nAnswer: -3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Simplify ((v*v**(-34)*v*v*v*v**(4\/17)*v)\/((v\/(v*(v*v**(2\/35)*v)\/v))\/v)**(-48))**(-41) assuming v is positive.\nAnswer: v**(3110547\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.153 - -0.047. Which is the second biggest value? (a) 2\/11 (b) f (c) -3\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471 < 605366\/245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - (-5 - 79 - -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -957\/818 + 11165855\/5726. Is 1949 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7138626878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 327*n - 344*n + 765. Suppose 2*t + t + 129 = 0. Let o = n + t. Solve x - p = o*p + 5, -x = 4*p + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 29. Suppose -g*q = -2*r + 37, 0*q - 23 = -3*r - 2*q. Find the second derivative of 11 - 6*m**3 - 12*m**3 - r + 21*m wrt m.\nAnswer: -108*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4579)\/57 + 1\/3. Let v = h - -172. Is v a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1044 = 3*q - 5*n, 7*q - 2*q = n + 1740. Let d = 50 + -68. Calculate the remainder when 55 is divided by (-2)\/6 - q\/d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csswrscllcssrc. What is prob of sequence lrc?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(500)*-3 - (sqrt(500) + 1 + 4).\nAnswer: -40*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -988*z + 3*z**4 + 988*z + 17*z**2 - 1 as k + x*z**3 + f*z**2 + y*z**4 + s*z and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 5:55 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 13*z - 3*z - 17*z + 280 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 5*s - 7, -3*d + 14 = s - 7*d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 v when four letters picked without replacement from {e: 7, v: 5}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1932.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 20*p**3 - 2*p**2 + 1. Let s(a) = 2*a**2 + 35*a + 86. Let u be s(-3). Calculate x(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 7*p**2 - 7*p - 4. Let x be l(-6). Let k(m) be the first derivative of -2*m**2 + 5481. Let f(i) = 1. Determine x*f(j) - k(j).\nAnswer: 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4374)\/2916)\/(5*(-2)\/(-700))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1594 (base 14) to base 9\nAnswer: 5252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -974*m**2 - 60*m - 2. Let d(k) = -971*k**2 - 58*k - 2. Let t(j) = -4*d(j) + 5*r(j). What is the second derivative of t(x) wrt x?\nAnswer: -1972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -387 (b) 7\/38 (c) -0.4 (d) -0.5 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164 + -48. Let a = k - 118.001. Let f = a - -2. Round f to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 + 94. Let p(z) = -2*z - 1. Let o be p(-1). Which is the closest to -3? (a) -4 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 2*j**2 - 3*j + 2. Suppose -f - 3 = -4. Let b(p) = -p + 1. Let m(i) = f*l(i) - 2*b(i). Factor m(u).\nAnswer: -u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 379*t - 283. What is the thousands digit of l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61401, -245634, -552703, -982608, -1535349, -2210926?\nAnswer: -3009339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3904.598 millimeters?\nAnswer: 3.904598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 - 2*h + 1. Let y be m(1). Suppose 9*t = 3*g + 4*t + 5, 5*g - 4*t = -17. Let k be y\/g - (-55)\/(-50). Put k, 1\/2, 2\/17 in increasing order.\nAnswer: k, 2\/17, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52364084.\nAnswer: 2, 31, 422291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37408108*r**2 + 31265270?\nAnswer: 74816216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**6\/720 + 5*v**4\/2 + 35*v. Let f(x) be the third derivative of w(x). Let p(r) = 27*r. What is f(p(u))?\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**3\/3 + 12*y + 1. Let t(u) = u - 76. Determine z(t(i)).\nAnswer: -2*i + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.85*3512.9\nAnswer: -10011.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (2 - (0 - 1)) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*105\/392*(-2)\/(-5)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = h - 3495 + 3503, 0 = k + k - 34*h + 144 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwhw when four letters picked without replacement from {p: 1, v: 1, h: 2, w: 5, u: 3}?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*p**2 + 64*p**2 - 111*p**2 + 106*p in the form y + c*p**2 + m*p and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1599*w + 230*w - 3403*w - 10*w as f + z*w and give z.\nAnswer: -4782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**4\/12 - t**3\/6 - t**2\/2 + 22*t - 1. Let p(j) = -2*j - 3. Suppose y - 7 = -g - g, 4*g + y = 9. What is g*p(l) - 3*w(l)?\nAnswer: 3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41959\/7551 + 1\/839. Let l = -277\/45 - o. What is the biggest value in l, -2\/11, -3\/8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 34*y**2 - 43*y**2 + 2*y**3 - 26*y**2 as s*y**3 + u + v*y**2 + m*y and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9*u**3 - 3*u**2 - 6*u + 6. Let p(g) be the third derivative of -g**6\/120 + g**5\/60 + g**3\/6 - 7*g**2. Let q(t) = -6*p(t) + r(t). Factor q(c).\nAnswer: -3*c*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 1:51 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46780947 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: What is next in 0, -8, -6, 18, 76, 180?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -96517?\nAnswer: 96522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*a + 75*a - 4318 = -1018 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.938 - -0.062. Let g = -11 - t. Let s = g - -46. Which is the closest to 1? (a) -2\/3 (b) s (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -35 - ((-1 - -1) + 9 - (-4 - -5))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/((-5)\/(-100)*1). Let v be (4284\/(-170))\/(3\/i). Is 2\/(-3) + 1148\/v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12658567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 18929 + 3467 = 2*y, -l - 5*y + 7707 = 0. What are the prime factors of l?\nAnswer: 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2 - 947*i + 27300 = 0.\nAnswer: -975, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + y + 2724 = 0, -23*i + 22*i + 1380 = -5*y. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84177 and 431631?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = f, -3*f + 5 = f - d. What is the closest to f in -1, -0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11122 (base 3) to base 12\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.2 + 19.2. Is h at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r. Let n be f(-6). Let x(s) = s**2 + 6*s + 4. Let k be x(n). Suppose 0 = -k*p + 50 + 158. Calculate the remainder when p is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1666145 is divided by 472.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689893098348*c**4 - 5059193036344*c**3 - 1609581762812*c**2 + 53707744*c - 448 = 0. What is c?\nAnswer: -7, -1\/3, 4\/239773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (16 - -23 - -16)) + (13 - 0)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89055.18 litres?\nAnswer: 89055180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0591120942 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*1*-2)\/sqrt(9) + (sqrt(153) - (-1 + (1 + sqrt(153))**2)).\nAnswer: -153 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2236, 8999, 20268, 36043, 56324, 81111?\n\"Answer: 2253*x**2 + 4*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4832 = 4*d + 4*w, 5*w + 584 = 3*d - 3040. Let v(k) = d*k**2 - 1 + 2*k**3 - 1207*k**2 + k - 3*k**3. Determine v(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -96*k. Let c(j) = -19*j. Calculate -11*c(s) + 2*v(s).\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17c (base 15) to base 8\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/24)\/((-2)\/(-52)). Let o(f) = 2*f - g*f + 92*f. Let w(h) = -2*h**2. Give w(o(j)).\nAnswer: -13122*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, w: 2}. What is prob of picking 2 v and 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18347549*m**2 - 18347549*m**2 + 36695096*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5822.836l to millilitres.\nAnswer: 5822836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3106323 by 10.\nAnswer: 3106323\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -643 (base 7) to base 11\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2752675 divided by 5345.\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -w - 3621 + 17530, x + 3*w - 13895 = 0. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25*(-61)\/(-27450)*4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/465*32525\/(-390). Let n = 1\/403 - d. What is the common denominator of n and -25\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6741 - 6730) + (7 - 0)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9653 + -2502. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100110 (base 2) to base 3\nAnswer: 10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -18. Let h be 165\/(-25) + (-2)\/5. Let f = h + p. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745362 (base 10) in base 7?\nAnswer: 6223032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m + 6. Let g(z) = -10*z - 5. Let q(a) = -5*c(a) - 6*g(a). Let w(v) = v + 2. Let b(y) = 15*y + 33. Let o(s) = 2*b(s) - 33*w(s). What is o(q(k))?\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 7, -4\/3, -1\/50, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 28*o - 31*o - r, 5*o + 4*r = -30 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.085 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13450185 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 9 = 3*c. Let p = 13 - c. Factor q**p - 5*q**3 + 0*q**3 + 4*q**3.\nAnswer: q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12\/7 + -10\/7. Which is the closest to i? (a) 3 (b) -2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 9) to base 6\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1068 divided by -135\nAnswer: 356\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 4:02 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o + 9 - 3*o - 3*o - 2*o + 21*o**2. Let i be z(-5). Suppose -i = -8*p - 0*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -75*m**2 + 14*m - 2. Let a(l) = -72*l**2 + 17*l - 2. Give -5*a(i) + 6*n(i).\nAnswer: -90*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -50*k + 30. Let l be w(5). Let b = -209 - l. Suppose 8 = 2*h - 0*h. What is the least common multiple of b and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 10253832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -4 (c) 25 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 take away 12857653?\nAnswer: -12857354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1224 - 772. Let v = d + -261. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -940*n**4 + 1432*n**2 - 3355*n - 97?\nAnswer: -11280*n**2 + 2864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -658467, -1316970, -1975473, -2633976, -3292479?\nAnswer: -3950982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 6}. Give prob of picking 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 + -5.92. Let r = 16 + -27. Let u = j - r. What is the third biggest value in 3\/8, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431497603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 - c**3 - c**3)*(-1 - 2 + 2)*(-6 + 9 + 9).\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -109\/9 at most -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j + 6. Let c(p) = -p**2 + 7*p + 4. Let o be c(j). Let m = o - 3. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17895*m - 17851*m + 660 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4698499?\nAnswer: 13, 73, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-8)*g**(-2\/9)*(g**(-2))**(-10\/7)*(g\/(g**(1\/4)*g*g)*g*g*g\/g**(2\/11))**(2\/21) assuming g is positive.\nAnswer: g**(16333\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1478 times 4?\nAnswer: -5912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7)*r)\/(r*r\/(r\/r**(2\/7)))*r**(-2\/7)\/r*r\/(r*r**(-4\/7)) assuming r is positive.\nAnswer: r**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-25))\/(2\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1610042*m**3 - 16063*m**2 - 4?\nAnswer: 9660252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7529693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2569*h = -2641*h + 576 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2296*d + 206713 + 45167 = 5060*d + 3533*d for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12866 + -12848. Solve -8*o + b*o + 30 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/1320 and 137\/660.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -1 (c) 10\/27 (d) 1.7 (e) 6 (f) -4 (g) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*p - 15, -p = -4*l + 3*p + 100. Let r = 70 - 64. Calculate the greatest common factor of r and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 268141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 446, 4, 0 in ascending order.\nAnswer: 0, 4, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2176 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -93, -109, -139, -189, -265, -373, -519, -709?\n\"Answer: -y**3 - y**2 - 6*y - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (1 - 1)) + -1. Let w be -1 + m + 9 + -3. Solve -b = -2*v - 6*b + 11, v + w = 5*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1861 and -71480?\nAnswer: 73341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20*28585\nAnswer: -571700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 14. Let n be j(-7). Let f be 6\/(-75)*(n + 17). Which is the third smallest value? (a) -0.2 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2338388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*n + 349 = -52*n - 463 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 + -125\/2. Let a be (-1)\/(-4) + (-538)\/8. Calculate the common denominator of a\/55 - 4\/(-10) and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4 - 56027715*f**3 + 1357350*f**2 - 5.\nAnswer: 24*f - 336166290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -89*f**7\/1680 - 7*f**6\/720 - f**5\/60 + 10*f**2. Let b(o) be the third derivative of a(o). Is b(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z + 8. Suppose 5*i + 4*u = -77, -3*i + 9*u = 13*u + 59. Let x(h) = 15*h - 15. Calculate i*t(p) - 5*x(p).\nAnswer: -3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3270382?\nAnswer: 2, 641, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59111984?\nAnswer: 2, 3694499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288 divided by -4?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 9 - (3 + -6)) + -6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/89)*p)\/p)\/p**31*(p**21\/p)\/(p**(7\/8)\/p*p*p) assuming p is positive.\nAnswer: p**(-8471\/712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 0. Let u be ((-2)\/3)\/(4\/x). Suppose -3*r - 6 = -p, 0 = -p - u*r + 1 + 11. What is the remainder when 17 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -551643, -17, -1 in decreasing order.\nAnswer: -1, -4, -17, -551643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grih when four letters picked without replacement from {r: 1, j: 3, h: 1, g: 1, i: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 4*n**3 - 4*n + 188 - 7\/2*n**4 - 8\/5*n**5 + 7*n**2. Suppose j(r) = 0. Calculate r.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.34832 and -1.5.\nAnswer: 18.52248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-24)\/n*n**(-28)*(n**(1\/25))**(-46))**(-23) assuming n is positive.\nAnswer: n**(31533\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umxukmxmkmmx. Give prob of sequence mmum.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 10*j**2 - 14*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -246861\/7, -0.38, -1\/2.\nAnswer: -246861\/7, -1\/2, -0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 482*y - 487*y - 5 = 0, -2 = 4*u + 2*y. Are -38\/131 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -2\/62209 (c) -0.24 (d) -0.7 (e) 2\/3 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82129 is divided by 8207?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/866 - 30847\/6928. Find the common denominator of -47\/1876 and y.\nAnswer: 7504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -65456?\nAnswer: -65456.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 11) in base 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 2*u)*((-4 + 5*u**2 + 4)*(0*u**2 - 3*u**2 + 2*u**2) + 0*u**4 - u**4 - 6*u**4).\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**6\/4 + 4*r**3 + 2*r**2. Differentiate f(q) with respect to q.\nAnswer: -90*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2.6. Let p be 6*12\/54*(-11 + 592\/56). What is the biggest value in p, y, 0.1, 18\/5?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143.4 + -169.4. Which is the nearest to h? (a) 0.3 (b) -8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 828 + 4\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/11 + 918128*r\/11 + 1836248\/11 = 0. What is r?\nAnswer: -459062, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*y + 250 = 0, 0 = k + 4*y - 39 - 110. List the prime factors of k.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 - -4358230.\nAnswer: 4358130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1490*s - 967 + 36303 = -12344 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-9)*58185\/(-30170))\/(6\/7)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129 and 8494296?\nAnswer: 365254728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-9 + 10 + 1) - (-1 + 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12123 and -1.\nAnswer: -0.12123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/1283284 and 51\/16.\nAnswer: 5133136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1089 - 1033.1. Let h = -301 - -245. Let w = n + h. Which is the closest to 0? (a) w (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(1\/3)*f)\/f)\/f)\/(f**(-1)\/f))\/(f\/f**1)**(-49)*((f\/(f\/f**(3\/7))*f)\/f*f**(4\/3)\/f)\/(f**(-2\/3)\/(f\/f**(1\/3))) assuming f is positive.\nAnswer: f**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*r - 2, 3*t + 25 = 4*r + 1. Let s(p) = 3*p**2 + 9*p + 11. Is s(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 109*j + 1246. Determine k(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l - 22. Suppose -j - 21 = -5*w, -3*w + 10 = -5*j + 15. Let i(c) = w*c - 10*c + 8 + 3*c - 23. Give -7*i(a) + 5*k(a).\nAnswer: -a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -20. Let z = 83 - -3. Let g = 68 + z. Calculate the highest common factor of g and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 752437164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 3. Let g be o(5). Suppose -2*s + g + 6 = 0. What is the remainder when 14 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/8 and -1\/6796.\nAnswer: 13592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -98049724 and -0.0364.\nAnswer: -98049724.0364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d**3 + 1281*d + 14*d**3 - 1281*d.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/49 + 24\/14. Let h be (-21)\/(-28) - a\/(-8). Let f be (-4)\/h - (-52)\/12. Is -3 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**3 - 80*q**2 + 217*q - 15. Determine x(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37713?\nAnswer: 3, 13, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + z + 9 = -3*i, -5*z - 20 = 0. Is 57 a factor of (i + (-10)\/6)*513\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531427137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38293?\nAnswer: 149, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, w: 4, o: 2}. What is prob of sequence ko?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**2 - 9*z**5 - 7*z**6 + 21*z**5 - 12*z**5 wrt z.\nAnswer: -840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410 <= -2471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 17 = -5*l, 1195 - 1210 = 5*l - 5*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = 0, -4*k + 3*r + 6408 = 0. What is the common denominator of -93\/20 and k\/240 - -2*(-1)\/(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1417092 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 2, v: 1, r: 2, t: 1}. What is prob of picking 1 v and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6791*h - 9. Let o(l) = -l**2. What is f(o(i))?\nAnswer: 6791*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1292 * -9.7.\nAnswer: -12532.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - x = -21, 0 = 4*l + 5*x - 76 + 34 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**5\/15 - x**4\/24 - x**3\/6 + x**2 - 20*x. Let b(v) be the first derivative of m(v). Determine b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 30. What is b(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -5. Let b(s) = -12*s + 3. Let x be b(2). Let d = x + 20. What is the smallest value in h, 3, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whun when four letters picked without replacement from {n: 1, h: 2, g: 3, e: 4, w: 1, u: 1}.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 10:36 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*l + 5*q, 0 = -l - 2*q + 5 - 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 75*i - 21. Suppose 31*y - 24 = 19*y. What is the remainder when s(y) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -1 - 1. Let a be (-1)\/(r\/((-1568)\/(-1))). Suppose 5*x - a = -149. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q + 5*d = -40, -4*q + 3*d + 27 = 0. Suppose 5*h + 5 = 0, 4*h = -q*z + 2*h + 47699998. Round z to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*y = -237*y - 10199. Round y to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 = -3*c. Let n be (c - -1) + -1 + -1. Suppose -32 = -n*w - 0*w. What is the highest common factor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54121702?\nAnswer: 2, 27060851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, -46, -66, -88, -112, -138?\n\"Answer: -q**2 - 15*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-34) - (-450)\/(-1224). Let u = 0.6 - -1.4. What is the second smallest value in u, o, -1.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r + 6. Let g = 1 + 0. Let m be (-5)\/25 - g\/5. Which is the nearest to m? (a) 0.5 (b) r (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1138 divided by 11\nAnswer: 1138\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26100234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3390964.\nAnswer: 2, 847741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -947 and -946 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6*1*(-2 + -1). Suppose d*z + 0*a - 7781 = a, 0 = -2*a - 2. Round z to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(120)\/(sqrt(6) + 3*sqrt(6)))\/(sqrt(1440) + sqrt(40)).\nAnswer: 5*sqrt(2)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -290.9 - -291. What is the closest to 6 in i, 5, -2, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 464 - 4\/5*w**2 + 564\/5*w.\nAnswer: -4*(w - 145)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 + -0.06. Let u = -0.1 + t. Which is the nearest to u? (a) -1\/3 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x - n + 16, x - 3*n + 8 = 0. Suppose x*b = -2*g - 8, 2 = 2*g - b - 5. Calculate the lowest common multiple of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*l - 693 = 4*n, 3*n - 2079 = -2*l. Let h = -481 + n. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 15 + 10 + -26\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 15540?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4\/5))**(3\/11))**(-32)\/((g**(-1\/5))**(-29)*(g**(-2)\/g)**(4\/21)) assuming g is positive.\nAnswer: g**(135\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-55)\/(-165)*(-6)\/(-10) - (-164)\/5. Suppose -3 = 3*l - 9. Suppose -5*k + y = -l*k. Calculate the remainder when 19 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*k**2 + 3*k**2 - k**2)*(518*k**2 + 102*k**2 + 300*k**2)*(-3 + 3 + 2)*(3*k - k + 0*k).\nAnswer: 14720*k**5 + 3680*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b291 (base 12) in base 14?\nAnswer: 3a5ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6300 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 6:07 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 171\/2 + -87. Let h be 4\/(-6)*(-6)\/(-8). Which is the third smallest value? (a) 1 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 17*h**2 - 5*h - 9. Let n be c(-6). Suppose -x + 6*x - 965 = -5*u, x - n = 3*u. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4971*c + c**3 - 4971*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3 - 62448*z**2 + 6462144*z - 167734528 = 0. What is z?\nAnswer: 52, 15508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 16 = -4*l - c, -4*c - 4 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a + 4003. Let d(b) = 337*b. Determine d(h(r)).\nAnswer: -2022*r + 1349011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3360582, 3360574, 3360568, 3360564?\n\"Answer: s**2 - 11*s + 3360592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2. Let w(t) = 2*t - 193803. Give w(i(l)).\nAnswer: -4*l**2 - 193803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 3. What is the second derivative of 3*g**3 - 2*g - 6*g**3 + f*g wrt g?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrgrrggggrrgg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -3*a + 3*b, -2*a = -6*a + 2*b + 136. Calculate the remainder when 92 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/43? (a) -12 (b) 1\/7 (c) 1\/3 (d) -312\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716793 = 39269*t - 29960*t for t.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -279*d**5 - d**3 - 1139*d**2.\nAnswer: -16740*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 474568 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 9*w - 2. Let q be h(5). Suppose q + 22 = 10*r. What is the third derivative of -14*s**2 - 27*s**4 + 82*s**r - 43*s**4 wrt s?\nAnswer: 288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - r - 8*r**2 - 7*r**3 + 7*r**3 + 2*r**3 as j*r**2 + a*r**3 + t + w*r and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (616\/(-2618))\/(5\/85)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uoouoooouoouooouooo?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 7*h - 2. Let v be -8 + (0 - (4 + -6)). Let s be j(v). Solve -s = q + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3657, -5864, -8297, -10956?\nAnswer: -13841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*y**2 + 29 + 71*y**2 - 29.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33, 46, 59, 72, 85?\n\"Answer: 13*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 531?\nAnswer: -2\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*10054\nAnswer: 4021.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -416 - -384. Which is bigger: a or -157\/5?\nAnswer: -157\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8578821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) 24 (c) 2978\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*p - 4*p - 495, -5*t = 5*p + 1240. Let x be 24\/8 - t\/4. Let l = x + -64. Which is bigger: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11762714.\nAnswer: 2, 53, 110969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 15 = -7*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13044 (base 5) to base 14\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1025 or 1022?\nAnswer: 1022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 59924 - 2918?\nAnswer: 57006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*l**5 + 69*l**5 + 58*l**5 + (4*l - 8*l - 3*l)*(-l - l + l)*(-l**3 + l**3 + l**3) + 5*l - 5*l + 4*l**5.\nAnswer: 103*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.629703 to three dps.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 10, 99*z = 94*z + 3*c - 40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2\/233, 0.2?\nAnswer: 2\/233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33.7725 and -217?\nAnswer: 250.7725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -499, -492, -483, -472, -459, -444?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Let m be 5 - (-29)\/(-5) - 6\/5. Let o = -3 + m. Put -3, s, o in ascending order.\nAnswer: o, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**5\/20 + n**3\/6 + 3*n**2\/2 + 3*n. Determine j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-6)*n**(3\/4))**35\/((n\/n**(2\/5)*n\/(n**(1\/4)\/n*n))\/((n**(-2\/9)*n)\/((n\/(n*n**4))\/n))) assuming n is positive.\nAnswer: n**(27961\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**5\/30 + 38*q**2 - 29*q + 1. Let t(z) be the first derivative of y(z). Let a(o) = -2*o + 68. Give t(a(n)).\nAnswer: 8*n**2 - 544*n + 9248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137604519223 - 455.\nAnswer: -137604519678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6\/11)\/(u*u**(-6)*u)*(u*u**(-3\/11)\/u)\/u**(-3\/2) assuming u is positive.\nAnswer: u**(103\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*w - 9*w**4 + 6*w**4 + 7*w**4 wrt w?\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 3*n = 923. What is the remainder when n is divided by 43?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y**4 + 60927*y**3 - 78306*y**2 + 17400*y = 0. What is y?\nAnswer: 0, 2\/7, 1, 2900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -64 - -516?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000755797 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: deb8 (base 16) to base 5\nAnswer: 3311031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1762 - -2018. What is the remainder when w is divided by 58?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 28*r + 222. Let z be u(-8). Which is the third biggest value? (a) 5 (b) 6 (c) -3\/2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27568, 171, -0.4 in descending order.\nAnswer: 27568, 171, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2173 + 1494. List the prime factors of j.\nAnswer: 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 7. Let j = -4 + 6. Let r = j - -31. What is the remainder when r is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*a - 2*o + 628, -108 = -a + 5*o. Suppose v = -3*v + a. Let y = v - 19. Calculate the remainder when 37 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 51\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 6, -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 6)*(5*p - 2*p - 2*p)*(12*p**2 + 153*p**2 + 32*p**2).\nAnswer: -394*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1685 + -2812. Let l = w + 1127.00000699. What is l rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95994785.\nAnswer: 5, 29, 61, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 1 - (70 + -73)) + 12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = -12*w + 5*d, -654*w = -658*w + 4*d - 28 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*a - p + 4, -6*p + 4*p - 4 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 760.0544 weeks?\nAnswer: 459680901120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 814 - -557.81.\nAnswer: 1371.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6838 + 22582 = 0. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2424 is divided by 122.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o + 1. Let n be i(5). Suppose 19 + n = 5*d. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1815 is divided by (-63)\/14 - -7 - 4675\/(-50).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q**2. Let i be s(-1). Let p = 650\/1883 + -8899\/9415. Which is the nearest to -0.2? (a) p (b) -2\/7 (c) i (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 - 4*q**3 + 20*q**2 - 12*q.\nAnswer: -4*q*(q - 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2789 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*i - 16, -5*i - 2*t = -t - 14. Suppose y + i*y = 8. Solve 1 = y*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 - 139. Let u = h - -34.165. What is u rounded to 2 dps?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(4\/11)\/m*m*((m**(-12)*m)\/m)\/m assuming m is positive.\nAnswer: m**(-128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/3)*r*r**20 assuming r is positive.\nAnswer: r**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -102*h**3 - 9*h**2 + 27*h - 178. Let n(r) = 25*r**3 + 2*r**2 - 6*r + 45. What is -2*a(f) - 9*n(f)?\nAnswer: -21*f**3 - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*d - 516 + 192. Suppose -4*u + 36 = -0*u. Find the third derivative of 5*q**2 - 13*q**6 - 6*q**6 + u - d wrt q.\nAnswer: -2280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92754\/27*(-3)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-2100)\/(-266) - (3 + 5)). Solve 2*p - 11 = j, p + j - a = 6*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-1 - -2) - 0. Suppose -44 = -z*n - 11. What is the remainder when 38 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 830757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83201971?\nAnswer: 23, 3617477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - 2*m**2 + m - 1. Let r be j(-2). Let l = r + 0. Suppose l*u - 240 = 5*v, -4*v + 13 - 162 = -3*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7750.33 + -7821. What is w rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190514*f*o**2 + 9*f*o + 2890149*f wrt o.\nAnswer: 381028*f*o + 9*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**2\/5 - 2354*r\/5 + 6188 = 0.\nAnswer: -1190, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1168 and 816?\nAnswer: 59568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) + (-46)\/(-10). Suppose 11 = 3*a - w, -l*a + 35 = -2*w - 3*w. Let u(b) = 11*b - 79. Let o be u(7). Put 3, a, o in descending order.\nAnswer: 3, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*c, 4*x - 4*c + 114 = 274. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - 2*x**4 + x**4)*(644 - 170 + 313).\nAnswer: -1574*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:29 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/2 - 2676*j - 26835\/2.\nAnswer: 3*(j - 1789)*(j + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20878*-3.961.\nAnswer: 82697.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -2\/11, 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -2*j**2 - 4\/3*j**3 + 7 + 1\/12*j**4 + 0*j. What is r(14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.107291 hours to minutes.\nAnswer: 246.43746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-8))\/(10\/(-40)). What is the third smallest value in 8, i, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13022, -26035, -39052, -52073?\nAnswer: -65098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -6 (b) 3 (c) -0.4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2947.4 to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 2. Let s(j) = 2*j - 4 - j - 1. Calculate s(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21236620 (base 7) to base 4.\nAnswer: -12321120232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**3 + 0*o**3 - 3*o**3 - 3*o**3 + o**3 + 4*o**3 + (-4*o + 5*o + o)*(-3*o**2 + 2*o**2 - o**2) + 2*o**2 - 2*o**2 - 2*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 6*d**4 + 0*d**3 + 2*d - 37*d**2 + 34*d**2 - 1 + 8*d**4 in the form c*d**3 + l + f*d**2 + v*d**4 + x*d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -7 + 8 - -28 - 44?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 5. Suppose -5*i - 2*o + 118 = 0, -i - 6*o = -o - 42. Let z = i - g. Solve -2*q - z*p = -4, 4*q + 2*p = -4 - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2632*s**3 - 23 - 20*s - 27*s - 19*s + 898*s**3 + 43*s wrt s?\nAnswer: 21180*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 + 10 + 2 - (-20 + 44)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4104 - -27.5896. Which is bigger: -5.2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a7 (base 16) in base 2?\nAnswer: -1010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1130403 - 223?\nAnswer: -1131131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4520 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 12:10 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 10) to base 8.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + q + 15. Let b be y(-8). Let a(i) = i**3 + 5*i**2 - 10*i - 5. Let z be a(-7). Let n = z - b. Calculate the remainder when 71 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(33)\/sqrt(3)) - -4*(-2*sqrt(17))**2.\nAnswer: sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i**4 + 20*i - 1687*i**3 - 220*i**2 + 1322*i**3 - 119*i**4 = 0 for i.\nAnswer: -2, -1, 0, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 11*x + 876. What is the remainder when 1 + x\/(-4) - 20\/(-40) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4139154162 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 4:05 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 244554 (base 7) to base 15\nAnswer: d469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -65 + 92 - 2*u**2 + 3*u**2 + 16*u. Let g be d(-14). Let a(o) = 13*o**2 + 2*o + 1. Let y be a(g). Calculate the greatest common divisor of 9 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2. Let s(o) = 3*o + o + 2*o - 2*o. Calculate s(f(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 13. Let l be y(9). Let t be l\/(-1) + 0 + 2. Let b = t - 4. Solve 40 = -3*w + 5*u, b*u = -w + 6 - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4664?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20431 (base 6) to base 5.\nAnswer: -42010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63*t*x**2 - 82*x**2 + 2*x wrt t?\nAnswer: -63*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x. Let p(u) be the third derivative of 0 - 166*u**2 + 1\/8*u**4 + 0*u + 0*u**3. What is b(p(f))?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + -338848.76944.\nAnswer: -338787.76944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + 103*z - 160. Let l be j(-36). Solve -3*f - 15 = -3*k, -19*k = -15*k + 4*f - l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 648\/13 + 76\/13*z**3 + 794\/13*z**2 + 1368\/13*z + 2\/13*z**4.\nAnswer: 2*(z + 1)**2*(z + 18)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 416, 1373, 3232, 6293, 10856?\nAnswer: 17221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4*x + 0*x)*(-2 + x + 2) - 9*x**2 + 10*x**2 - 7*x**2 + 0 + 211*x**2 - 212*x**2 - 3.\nAnswer: -6*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**3 - 3*t**2\/2 - 114*t + 1. Give g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 27, 1\/5, -0.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Calculate -7*79.\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 3:51 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4847*c - 1552. Let n be b(-4). Round n to the nearest one hundred.\nAnswer: -20900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768984 is divided by 450?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.018 + -0.082. Let r = 0.1 + u. Put 2, 1, r in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1995013*v**2 + 2033377*v**2 - 68634*v**2.\nAnswer: 3959756*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 494 + -488. Suppose v + t = -5*b + 16, -5*b + 10 = -v. Is v < -2\/1399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + sqrt(648) + (sqrt(648) + (sqrt(648) - (sqrt(648) - sqrt(648)*2)) - sqrt(648))*-5 + sqrt(648))\/((1*sqrt(264))\/sqrt(11)).\nAnswer: -21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-5)\/15 - (-12)\/45?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3503.43 and 17.\nAnswer: 3520.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*j - 144*j = -231. Calculate the highest common divisor of 15 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)*b)\/((b\/(b\/(b\/(b**(-3\/13)\/b))))\/b) assuming b is positive.\nAnswer: b**(-68\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(4\/7)\/a))\/(a**(-2)\/a))\/(a**(-2\/3))**41*(a\/(a*(a**(-1)\/a)\/a))**47*a**(2\/7)*a**3 assuming a is positive.\nAnswer: a**(3697\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -2, 1, -5, -11, 2.\nAnswer: -71, -11, -5, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1657 + 595. Let h = f + 1061.8866. Round h to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4704\/11 + 864\/11*z**2 - 30\/11*z**3 - 6552\/11*z = 0. Calculate z.\nAnswer: 4\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in minutes?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*v, v + 24 = 2*j + 5*v. Let h(y) = 5 - 2*y + y + y**j - 3. Is h(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 25, 4*b + s - 157 = -2*s. What is the first derivative of 97*h - 19 - 48*h - b*h wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.349 + -0.649. Sort i, 79, 5 in descending order.\nAnswer: 79, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13419)\/(-18) - (-1)\/(-2). Suppose 4*y - 9*y = -a. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 1\/15*g**5 + g**3 - 1\/12*g**4 + 1\/120*g**6 + 0 + 8*g**2 + 0*g. Let n be s(-4). Is n greater than or equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 87.05. Round d to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 - -80. Let v = c + -9. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -639*d**2 + 77*d - 11. Let z(c) = -426*c**2 + 48*c - 7. Give -5*w(f) + 8*z(f).\nAnswer: -213*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -51.4422 and 795985?\nAnswer: 796036.4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34592165 rounded to the nearest one hundred thousand?\nAnswer: -34600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4355 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/((-12)\/54). Let h(r) = r + 10. Let q be h(m). Let z(t) = -t**3 + 6*t**2 + 7*t + 1. Let n be z(q). What is the highest common factor of n and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by 10\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 38*c**3 + c**2 + c + 7. Let d(u) = -26*u**3 - u - 4. Let y(g) = -8*d(g) - 5*n(g). Let t(p) = 53*p**3 - 14*p**2 + 8*p - 8. Calculate -3*t(b) + 8*y(b).\nAnswer: -15*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1641\/547)\/(11\/1).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3223+-0.4\nAnswer: -3223.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -787 (base 16) to base 12\nAnswer: -1147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -1)*6*(-8)\/16. Suppose 8*p - t*p + 4*v = 11047, 2216 = p + 3*v. Find the second derivative of -4*x**5 - p*x + 3*x**5 + 6*x**2 + 2206*x wrt x.\nAnswer: -20*x**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9375 - 6653. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -5, 21, 11, -2, -27.\nAnswer: -27, -5, -2, 0, 4, 11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -8*s + 5*s. Let h(o) be the first derivative of 0*o**4 + 2*o - 5 + 0*o**3 + s*o**2 - 2\/5*o**5. Find the first derivative of h(c) wrt c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*y - 125*y**2 - 172*y - 10240*y**2.\nAnswer: -10365*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65974313?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*x - 54. Suppose 2 + x = -z. Let s = z + 24. Calculate the greatest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + f = -100. Suppose -5*m = -m - f. Suppose m*q = -o + 10, 5*q + 1 = -2*o + 6. Sort -4\/3, q, -0.1.\nAnswer: -4\/3, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 62220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-18) + 214\/(-18) and 10\/(-12)*19\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**4\/4 - 5*s**3\/3 - 3*s**2\/2 - 7. Let x be m(-4). Let b be -20*(1*x)\/8. What is the greatest common divisor of 4 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*c, 3*c + 1 = -6*u + 5*u. Suppose 4*z + 362 = u*a, -2*a - a + 279 = -3*z. Are z and -88 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*x**3 - 36*x**2 - x + 57 wrt x.\nAnswer: 30*x - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 14*h + 4. Let i be b(0). Solve -2*o = -i*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 218, 220, 222, 224?\n\"Answer: 2*i + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-413)\/(-21) + -19 - (-150)\/(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j + 16. Let k = j - -8. Let v = -95 + 103. Solve 5*m = -3*t + 1, 0 = k*t - 0 - v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 802714 and 26015?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530*h**2 - 351*h**2 - 285*h**2.\nAnswer: -106*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 2275.\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/(2\/(-24)). Suppose -m*l = 7 - 19. Let w(i) = -i**2 + 6*i - 5. Let n be w(4). Solve n*r = 2*c + 16, -4 = -l*r - 4*c - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*p - 26 = -0*p, 0 = -5*p - 25. Suppose 5*i - 16 = 3*i. Suppose m = -o*m + i. Solve 0 = 3*q + 6, 2*u - m*q = 2*q + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 89 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-191)\/6 + (-14)\/84. Let a = -22627\/19 + 1191. What is the biggest value in a, n, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 6*q - 4. Calculate v(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 75. Let n(s) = -3*s + s + x*s - 3*s. Let z(o) = 2*o**2 - 2*o. Let b(c) = 5*n(c) + z(c). What is the second derivative of b(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -42. Suppose -2*k - r = -140. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3142 and 564193.54003.\nAnswer: 567335.54003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.34 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.78046 to 2 decimal places.\nAnswer: 14.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**2 - h - 247. Is a(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 x, and 1 c when three letters picked without replacement from cjbcbccljjjjxvbvlvj?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1020 - -985) + -1 + -10.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -733*a**2 + 731*a**2 + 0 + 0 + 8*a to the form i + j*a + x*a**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 3. Let x(c) = -6*c - 8. Give 6*x(a) + 17*y(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140 - 135. Suppose d*v + 8*j - 1666 = 4*j, 4*v - 1304 = 4*j. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -3 - -6 - -5 - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 5*p**2 + 0*p**3 + 3\/14*p**8 + 0*p**4 + 0 + 0*p + 19\/35*p**7 + 2\/15*p**5 + 7\/15*p**6. Factor a(o).\nAnswer: 2*o**2*(3*o + 2)**2*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10388315038 and 0.014.\nAnswer: 10388315038.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b + 1. Let d(r) = -25*r - 2. Let m(n) = -6*d(n) - 17*s(n). What is the first derivative of m(i) wrt i?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + 44 - 38 + d. Let x be m(-5). Solve 0 = 3*f - 7*t + 3*t, 0 = -5*f + 3*t + x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2133756 + 99*l**3 - 2133756 - 101*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25590737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1994784 and 120896?\nAnswer: 3989568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 51 + 27 = 0. Solve 12 = -n*w - g, -8 = 4*w - 4*g + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 4. Let h(j) = -4*j**3 + j**2 - 17. Determine -2*h(y) - 9*p(y).\nAnswer: -y**3 - 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -58 - -5?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4087 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1800*d. Let q(z) be the third derivative of z**4\/12 - 687*z**2. Determine q(a(g)).\nAnswer: -3600*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 378 + 5*t**2 - 3*t**2 + 3*t**2 - 4*t**2 + 42*t + 59.\nAnswer: (t + 19)*(t + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -243*f - 32*f - 237*f + 42*f as d + q*f and give q.\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20905711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h - 4*h**2 + 6*h**2 + 8 - 7 - 13. Is v(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -585?\nAnswer: -4\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkfrkoiookoor. What is prob of sequence fko?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 30*g - 30. Let l be s(-14). List the prime factors of (-7*1 - l)*4148\/(-170).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 8*c + 8. Let i be q(-7). Suppose -i = s + 1. Find the common denominator of -46 and ((-27)\/s)\/((-231)\/56).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*k + 85, -5*k - 584 + 489 = -5*d. Solve d*w - 21*w + 56 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**3 + 3*z**2 + 8*z - 2. Let t(q) = 8*q**3 - 2*q**2 - 9*q + 2. Let w(s) = 7*n(s) + 6*t(s). Does 24 divide w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1455\/1358)\/(((-36)\/30)\/(63\/30)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*494\/19*(289\/34)\/17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 + 1472*m**2\/3 - 14870*m\/3 + 37300\/3.\nAnswer: 2*(m - 5)**2*(m + 746)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**2 + 5*x + 2. Let t be b(-2). Let m = 27 + t. Suppose -w + 58 = s, -m*s + 5*s - 293 = -5*w. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4474 or -25.606?\nAnswer: -25.606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/195984990 and 145\/866232.\nAnswer: 783939960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - 4.3. Let k = -7 - v. What is the biggest value in k, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27155720 to the nearest integer?\nAnswer: 5211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 24, 6 in descending order.\nAnswer: 24, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1030 - -66951\/65. Let c(j) be the second derivative of 16*j + p*j**5 + 0 - 1\/13*j**2 + 1\/78*j**4 - 2\/39*j**3. What is h in c(h) = 0?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 9 + -6 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 1*(-2 + 53) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1056 and 576.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((0 + 1)\/2). Let d(t) = -159*t**2 + 797*t - 4. Let v be d(5). Solve o*s - v = 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d67 (base 14) to base 15.\nAnswer: bae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**3 - 15*p**2 + 142*p - 9. Let a(x) = -6*x**3 - 24*x**2 + 213*x - 13. What is -5*a(o) + 8*w(o)?\nAnswer: -2*o**3 + 71*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 11*l**2 + 9*l - 8. Let t be z(-10). Let q(w) = -w + 18. Let j be q(8). Calculate the highest common factor of t and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*z - 18. Let g(k) = k - 3. Let p(v) = 1. Let a(n) = z*p(n) + g(n). Differentiate a(l) with respect to l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -680 + 679.8156. What is q rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2333232 + -20032?\nAnswer: -3013330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-20))\/(33\/(3036\/23)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 10. Let j be n(-4). Let a(p) = 9*p**3 + p**2 - 7*p - 21. Let d(z) = 4*z**3 + z**2 - 4*z - 10. Let i(y) = 3*a(y) - 7*d(y). Is i(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 1. Let r be (-2)\/((6\/10)\/w). What is the highest common factor of 80 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388814 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-349520724)\/(-924) + 2\/(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 6:28 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 8*n**2 + 2*n + 19. Let h be g(-8). Solve 0*f = f - h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7749189419?\nAnswer: 179, 839, 51599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x + 3 + 8 - 4. Suppose 3*p + 0*p - 24 = 0. Suppose -q + 2 + 1 = f, 0 = 4*f + p. Let b(d) = -3*d - 3. What is q*b(y) + 2*k(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-30)*((-4797)\/6314)\/(-13).\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 50*i**2 + i. Let k = 171 - 247. Calculate the remainder when f(-1) is divided by (-3)\/(-6 - 3) + k\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Suppose f*s + 3 = 6*s + q, -s = -4*q + 12. Sort s, -1, 1.\nAnswer: -1, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125170 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242700*p - 19 + 242698*p - 54 to s + z*p and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s - 6. Let t(m) = -4*m - 5. Let y(x) = -4*t(x) + 3*v(x). Let c(j) = 3*j + 1. Determine -3*c(w) + 2*y(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -20, 2*m + 6 = -5*p + 9. Does 14 divide ((-615)\/20)\/(p\/4*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*180\/40.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 9*h**2 + h - 7. Let n be s(9). Suppose -70 = -n*r - 3*r. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3642.392ml in litres?\nAnswer: 3.642392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11232 is divided by 622?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 - 24*o - 483\/2.\nAnswer: 3*(o - 23)*(o + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142034, -284068, -426102, -568136, -710170?\nAnswer: -852204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1166120 (base 8) in base 10?\nAnswer: -322640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -5*m + 16 - 21, -m = 4*j + 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vaa when three letters picked without replacement from {v: 1, f: 1, y: 3, b: 1, a: 6}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162612 divided by 57.\nAnswer: -54204\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/603365 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 - 11*k**2 - k + 11. What is t(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b - -122b?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 6:46 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -672360921 or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 561 and 48988203?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -235, -240, -253, -274, -303?\n\"Answer: -4*m**2 + 7*m - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*x + 0 - 4*x + x + x + (2 + 4 - 5)*(-1 - x + 1) + 4*x - 4*x + 4*x + (-4 - 1 + 3)*(2*x + 1 - 1) + x + 3*x - 2*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/305 (b) 1 (c) -0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 2*m**2 - 5*m**2 - 3*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 327.6 times 3366?\nAnswer: 1102701.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3062444617 to the nearest integer?\nAnswer: 55339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuuuuwu. Give prob of sequence wuu.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 18 = 2*s, -t = -4*s - 0*t. Let z be (-4)\/(-2) - 12655\/5775. Let p = z - -1\/105. Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 - -10110001?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173218 divided by -173218.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = d - 5. Is -15 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -21, -47, -83, -129?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*x - 1022, -x + 11*i + 252 = 7*i. What is the greatest common divisor of 560 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2850 and 912?\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - n. Let o(h) = -80*h - 798. Let j be o(-10). Let v(f) = -13*f**2 + 3*f. Calculate j*q(g) + v(g).\nAnswer: -11*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 15*i**2 + 17*i - 19. Let k be u(16). Let s = -128\/183 - -2\/61. Let f = -4.7 - 0.3. Put s, k, f in ascending order.\nAnswer: f, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-273*f**3 + 94*f**3 + 101*f**3)*(-10*f + 6*f + 5*f) in the form l + k*f**2 + b*f**4 + d*f**3 + i*f and give b.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-60) + (-14)\/6 + 22\/11?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-37)\/1628 - 3555\/99.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 452 = 4*y, 0*y = -2*d - 5*y + 194. Let c = d + -96. Let i be (3\/(-27))\/(c\/(-6)). Put -0.4, 7, i, -0.1 in descending order.\nAnswer: 7, -0.1, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16228170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94957, 94955, 94953, 94951, 94949?\nAnswer: 94947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q + 2*q - 23 - 5*q - q.\nAnswer: 3*q - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -18, -3, 12 in decreasing order.\nAnswer: 12, 2, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*z + 34, 4*w + 5*z + 22 = 6*w. Suppose 2*g = 5*s + 11, -4*g - 1 = -3*g + 4*s. What is the highest common divisor of w and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 387*n**2 + 5240*n + 249. Calculate q(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j. Let i = 337\/6 - 56. Let p(f) be the second derivative of 0 - f + i*f**4 + 0*f**2 + 0*f**3. What is p(n(q))?\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) 0.2 (c) 3\/4 (d) 0.306\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -16*z**4 + 22 + 36\/5*z**5 - 52\/3*z**3 + 32*z**2 + 16*z. Suppose n(k) = 0. What is k?\nAnswer: -1, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 4. Let h = l + 16. Suppose 0 = m - 4*v - 16, 5*m - 24*v - 125 = -19*v. What is the greatest common divisor of h and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 296 (b) 1\/4 (c) -0.558\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 8:07 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13653246 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -272 - -282. What is the lowest common multiple of v and 248?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8707807, 8707808, 8707809?\n\"Answer: g + 8707806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**3*t*y - 9*b**3*t + 2*b**3 + 2*b*t*y - 2*b*t + 14*t*y - 2*y wrt b.\nAnswer: 30*b*t*y - 54*b*t + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*j - 3*p + 13, -3*j + 4*p + 16 = 0. Let f(c) = -c**2 + c + 16. Calculate f(j).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1, -16, 1, -4, -58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-2*(-1 + sqrt(68)) + sqrt(68))*-5 - (4 + (4 + sqrt(68) + 0 - (sqrt(68) + 0 + -4)))) + -4)**2.\nAnswer: -580*sqrt(17) + 2541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1584 and -87\/20.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - (33 - (43 + 22))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 10*w**2 - w + 12. Let z be q(10). Suppose z*b - 6*b = -12. Suppose 0 = 7*v - b*v - 3404. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 503*n - 258*n - 1638*n**2 - 243*n + 681*n**4 wrt n?\nAnswer: 16344*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106469494213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657 = -220*t + 1086*t + 22307 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 8*i**3 - 3*i**3)*(1 + 2*i - 3*i + 0).\nAnswer: -4*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67979 is divided by 16993.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 22 = 2*i, 0*j + j - 17 = 4*i. Let c = -8 - i. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = x + 2. Let h be 10\/3*(-9)\/x. Solve 8 = h*t - t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5 + 297*i**4 + 263826*i**3 - 13287774*i**2 - 6134809023*i - 6121257723 = 0. What is i?\nAnswer: -189, -1, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*p**3 + 81*p**3 + 152*p**3 - 317*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*i + 87*i - 441. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3224 and 9855830.\nAnswer: 512503160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10246*g*x**2 + 9854*x**2 wrt g?\nAnswer: 10246*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 9. Let k = a - 7. Let y = -19 - -18.8. Are y and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*k**3*o - 3*k**3 - 2765*k**2*o - 6*k**2 - 12802*k*o - 6098*o wrt k?\nAnswer: 132*k*o - 18*k - 5530*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 4*s**2 + 2*s + 5. Let r be w(4). Suppose -9*y = -710 + 674. Solve 4*t = 7*t + y*j - r, 5*j - 24 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 13. Let y be ((-1468)\/126)\/1 + 42\/189. Is d >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*y + 20134, s - 3*y = -4*s + 25166. Is 95 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/338 and -57\/20?\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 406296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15006 and 12.\nAnswer: 30012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 1. Let k be r(1). Suppose -4*p + p + 15 = k. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 - 4*f**2 + 6*f**2 + f**2 - 2*f**2 - f**2 + (-1 - 2 + 4)*(-2 + 2 - f**2) - f**2 - 4*f**2 + 3*f**2)*(4*f - 4*f - 2*f) + 0*f**3 - 2*f**3 - 8*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 131916469 or 131916471?\nAnswer: 131916471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = 0, -182*y = -177*y - 3*c - 2172. Calculate the highest common factor of y and 2052.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1375\/8 + -173. Is f greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -38*t**2 - 3575*t - 34727. Calculate v(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3 - 1 + 0 + t. Let i(z) be the second derivative of -z**3\/3 - 5*z**2\/2 + 10*z. Determine 3*i(c) + 7*j(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let z = l + 2. Let o be (-2)\/(-14) + (-210)\/490 - 26\/7. What is the nearest to 2 in o, -0.8, z?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 383030189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 4*g**2 - 8*g - 3. Let s(h) = h**3 - 3*h**2 + 5*h + 2. Calculate 5*i(f) + 8*s(f).\nAnswer: 3*f**3 - 4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 3*-3*sqrt(1008)*-2 - (-1 + sqrt(1008)*-2 + 4 + -1)) + 3)**2.\nAnswer: -960*sqrt(7) + 403204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-2)\/(3*sqrt(300)))**2.\nAnswer: 32\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 - 96. Let y be (k\/30*1)\/(45\/150). Let 2\/9*r + 0 + y*r**3 - 4\/9*r**2 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 4:19 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 498513925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -19.3. Let u = -17398\/86965 + 1\/17393. Which is the fourth smallest value? (a) 0 (b) u (c) -5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231197937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*u + 10*u - 20. Let i = -384 + 384. Which is the third biggest value? (a) -5 (b) i (c) u (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2377 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.611834 times 3?\nAnswer: -259.835502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -12. What is the units digit of ((-65)\/(-15))\/((-3)\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 1.02. Let l = 0.21 + 0.41. Let h = t - l. Which is the closest to -1? (a) h (b) 4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - -9.03. What is the third biggest value in -2, 5\/4, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 827 - 8281\/10. What is the common denominator of (-81)\/22 + (-12)\/(-8) and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 455*f**4 - 46*f*n**3 - 113943*n**3 with respect to f.\nAnswer: 1820*f**3 - 46*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**3 + 3 - 3*w + 4*w**3 - 16*w**3 + 4*w**3 in the form c*w**2 + b + p*w**3 + v*w and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**2 + 18*d - 26. Let f be a(2). Solve -9*y + f = -24*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -155 + 50*r**3 - 151*r**2 - 156*r**2 + 307*r**2 with respect to r.\nAnswer: 150*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 6 = -4*y, -7*r + 3*y = 10 - 18 - 26 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -16*p + 2. Let g be y(-1). Suppose 6 = -g*c + 21*c. Suppose -v + 5*v = -3*k + 273, -c*k + 175 = 5*v. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21095, -21058, -21015, -20966?\n\"Answer: 3*k**2 + 28*k - 21126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -46882.\nAnswer: 3\/46882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m. Let c(v) = -163*v**2. Calculate c(j(r)).\nAnswer: -1467*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(4 + (sqrt(847) + 1 + 4 + -2)*5).\nAnswer: 80 + 220*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-9) - (-4)\/(-18). Suppose -716*d + 711*d - 4*k - 9 = 0, -3*k - 1 = -2*d. Sort v, 9, d.\nAnswer: d, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -da - -2?\nAnswer: -d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*x**2 + 681*x**2 - 388*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -9596.981867 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22275017, 22275013, 22275007, 22274999, 22274989, 22274977?\nAnswer: 22274963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1140 (base 7) to base 6\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -1\/7, 239, 8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 divided by 14645?\nAnswer: -171\/14645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4864)\/320*((-63)\/(-6) + -8)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 6*b - 4. Let w be m(6). Let k = w - -561. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25 and 3.959?\nAnswer: -0.98975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 3*m - 3. Let o be t(-3). Let p be (-10)\/(-75) + 34\/o. Is p\/(1 - 56\/52) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -91 and -137.94.\nAnswer: -228.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/2190 and 149\/139890?\nAnswer: 10211970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15221*m**5 - 6*m**2 + 103180*m?\nAnswer: -304420*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 73*m + 1. Let z be i(1). Let f(h) = h**3 - 12*h**2 - 31*h + 45. Let k be f(14). Suppose -56 = k*p + 2*w - 276, -p + 2*w = -76. Is z <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**3 - c**2 + c - 1. Let v be i(1). Let l be (-1 + 2)\/(v\/16). What is the highest common factor of 56 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = 4. Let y be (3 - o) + (-32)\/14. Let r = -1.1513 + 0.1513. Which is the closest to r? (a) 2 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*w - 66*w + 1178. Let y = 61 - w. Sort 2, -2\/19, 1, y in increasing order.\nAnswer: y, -2\/19, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83271250*o - 41635630*o - 41635634*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(((-3)\/4)\/(91\/56 - 2)). Sort 5, -2, -17, y, 4 in decreasing order.\nAnswer: 5, 4, -2, y, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/14)\/(2*160\/264320).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*w - 134*w = -105. Let o be 14 + w - 16\/(-4). Solve -13*k = -12*k + o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -28*v - 424. What is o(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 124 = -19*k. What is the remainder when ((-30)\/(-15))\/((-1)\/k) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 44703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(5\/3)\/v**(1\/2))\/(v**(1\/2)\/v**4))**(-1\/3) assuming v is positive.\nAnswer: v**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 349486*v**2 + 6825*v + 68?\nAnswer: 698972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -7.\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qpqyyqpqpqqqqp.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (162\/28 - 2) + -4. Does -1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 2*b**3 + 3*b**3 + (-2*b - 1 + 1)*(0*b**2 + 0*b**2 + b**2) + (-12*b**2 + 12*b**2 + b - 4*b**3)*(-816 + 1371 - 812).\nAnswer: 1025*b**3 - 257*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102286268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -82419?\nAnswer: 82427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1262*z**2 - 625*z**2 - 622*z**2 + 2.\nAnswer: 15*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -157431?\nAnswer: 5\/157431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(153)*-3*-3)**2.\nAnswer: -270*sqrt(17) + 12418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/6165 and -88\/225.\nAnswer: 30825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*u + 2 = 0, -3*v + 2*u + 4 - 12 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + j = t - 11, 0 = 4*t + 4*j - 4. Which is the nearest to -1? (a) t (b) -5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-1)\/4 - (-24)\/(-32). Which is the closest to 0.1? (a) -0.04 (b) f (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 532538888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1785118231 + -4.\nAnswer: 1785118227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 1078 - 814. What is the remainder when 94 is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1103 - 1100. Solve -10*y + 28 = -g*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14694133.\nAnswer: 14694133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121 - 100. What is the greatest common divisor of 168 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -476 - -677. Let b = w - 167. Are 37 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118526 divided by -14.\nAnswer: 59263\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*q - 7 = -2*y - 2*y - 1, -28 = 14*q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 9*x**2 + 4*x. Let l be n(4). Put l, 17, -5 in increasing order.\nAnswer: -5, l, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-11)))\/r*(r*r\/(r\/r**(-4))*r)\/r)**(-21\/2) assuming r is positive.\nAnswer: r**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmm. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 176991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1849 = 6*t - 1909 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/4 + (-9)\/(-4). Suppose 0 = -b*a + 5*a. Suppose -m + 2*m - 4*z - 75 = a, z = 2*m - 164. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/15*(-1)\/2. Let z(a) be the first derivative of -l*a**3 + a**2 - a - 1. Factor z(u).\nAnswer: -(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 1 = -5*f - 4, 4*l - 20 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and -1.1?\nAnswer: -31.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9358293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + h - 150333 - 297300 = 0. What are the prime factors of h?\nAnswer: 3, 59, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 n when three letters picked without replacement from {n: 3, y: 12}.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmppzpprrr. Give prob of picking 1 p and 2 r.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212743 or -212460?\nAnswer: -212743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*h - 0*h. Let a = 6 - h. Calculate the remainder when 12 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 802 = 8*a - 9598. Calculate the highest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3 + 3)*(3710015 - 1548*j**3 - 3710015).\nAnswer: 1548*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1518383233 take away -0.3?\nAnswer: -1518383232.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 z when three letters picked without replacement from czcfccccjfcczzccjccc.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68481.\nAnswer: 3, 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -512, -515, -520, -527, -536?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11819935 a multiple of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*n*w**3 - n*w**2 - 8*n*w - 2456*n wrt w.\nAnswer: 177*n*w**2 - 2*n*w - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**3 - 22*c**2 + 9*c + 7. Let u be t(-8). Let p be (-1)\/2*(-1 + -153). Let s = p - u. Calculate the greatest common factor of s and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**4*y - 547*c**2*y - 10767*y + 1 wrt c.\nAnswer: -4*c**3*y - 1094*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42294215 or 42294190?\nAnswer: 42294215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -4*j + 4*o, -4*j - 40*o = -38*o - 120. Suppose 0 = 14*d - 87 + j. Solve -d*s - 7*s = -55 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = 3*g + 37 - 22, g = -v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/1*2\/(-4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/4*(-6)\/(-18). Let z = -0.01 - -0.41. Let d = 29.7 + -33.7. Put z, g, d in ascending order.\nAnswer: d, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17903 - 17865. Solve 4*x + 31 = -c + k, -5*c = -5*x - 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -389\/3? (a) 0.11 (b) 3 (c) -5 (d) 1\/7 (e) 0.6 (f) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-12 - 13 - -13) - 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**2 - 285*f**2 + 17*f**2.\nAnswer: -277*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.76 + -25.76. Which is the second smallest value? (a) -0.004 (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/110 + -1 - (-14268)\/26158\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 17*z - 6. Let j be (1 - (1 - 4)) + -12. Is 2 a factor of n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 120 = 0. Suppose -2*c = 8, x = 5*x - 5*c - p. Solve q = -4*k - 0*q + 10, -5*k - 5*q = -x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 1:26 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5382147 and 255.\nAnswer: 457482495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**3 + 87123*a**2 + 1046043*a - 3922155 = 0.\nAnswer: -15, 3, 29053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 0 + 0)*(-1 - 5 + 4) + (-5 + 4 + 2)*(-p**3 + 2*p**3 + 2*p**3) + 3*p + 2*p**3 - 3*p + p**3 + 5*p**3 - 4*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(4*n - 4*n + 2*n**2) - 3*n**2 + n**2 + n**2 + (171*n**2 - 30*n + 30*n)*(-22 + 2 - 93).\nAnswer: -19326*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6627 a factor of 603640176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**4 - 6*l**4 + 2*l**4)*(565 + 618 - 569) in the form o*l**3 + w + s*l**4 + t*l + n*l**2 and give s.\nAnswer: -1228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 + 4)\/((-21)\/(-413)). Let f = 303 - s. Let x(j) be the first derivative of -j**2\/2 + 5*j - 3. Calculate x(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/3 - 3 - -3. Calculate the greatest common factor of 2 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -8*c + c. Suppose 2*g = 6*g + 2*j - 40, 2*g - c = 3*j. What is the remainder when 42 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.087*0.5\nAnswer: -0.0435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:15 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {w: 3, h: 1, t: 3, e: 3, g: 3, z: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, 1 in decreasing order.\nAnswer: 5, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 2678111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*q**3 - 725*q**3 - 757*q**3.\nAnswer: -1709*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 3, i: 1, w: 3, q: 10, f: 1}. What is prob of picking 1 t and 1 q?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + u + 17 = 0, 110*u = 113*u - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*1 - sqrt(363)) + -5 + (sqrt(363) + 1)*6 + sqrt(363))**2.\nAnswer: 154*sqrt(3) + 17788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62442754.\nAnswer: 2, 11, 37, 41, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 20, -2*p + u + 9527 = -0*p. Suppose -5*m - 4*k + 7965 = 0, m + 2*m - p = -5*k. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1 (c) 1\/9 (d) 3 (e) 171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - 1e?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 21 = 2*f, 3*f - 4 = f. Let k be 1 - -8 - (3 + 3 + -2). Solve c*u + b + 4 = 3*u, 4*u - k*b + 36 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (13 - (10 - 2 - 1))) + -1 - 37.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -437, -449, -495, -569, -665, -777, -899?\n\"Answer: o**3 - 23*o**2 + 50*o - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(117)\/(sqrt(9)*-3 + sqrt(9)))**2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 911, -12, 0 in ascending order.\nAnswer: -12, 0, 911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6779181 + 5.367916. Let x = s - -0.31. Round x to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1170758 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:03 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13955735 divided by -2515\nAnswer: 5549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 19\/6, 4, -1\/4 in decreasing order.\nAnswer: 4, 19\/6, 1\/6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 4. Let w be o(0). Suppose -892*r = -852*r. Sort w, -164, r.\nAnswer: -164, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39119, -5, -86, -3 in ascending order.\nAnswer: -39119, -86, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/g**(-15)*g*g))\/(((g\/(g\/(g*g**(-10)*g)))\/g)\/g) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 104031990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 985920 and 3069703.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*d - 3)*(-1 - 2 + 1)*(3 - 13 - 4)*(-6 + 2 - 8).\nAnswer: 672*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 1.7, -1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = 13*f - 5*f. Let g = f + 458. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44087.\nAnswer: 44087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 576641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 18. Suppose -4*s = -24 + 16. Suppose -t + 4*r + v = 0, s*t - r = 30 + 4. 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 the value of ((-666)\/(-999))\/((-12)\/40*75\/54)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 r when three letters picked without replacement from {r: 2, f: 2, c: 4, j: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2\/4 + 20*v - 80.\nAnswer: -5*(v - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 17 + 1 = -2*h, -10 = -4*f + 3*h. Suppose 0 = -3*q + f*n + 191, -4*q - 2*n + 275 = q. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -249*(2 + (-21)\/9).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 - w**3 + 8*w**3 - w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 5. Let n = 229 + -3437\/15. Is n >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1667415\/293 and 5691 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b81bcc (base 15) to base 8.\nAnswer: -41335407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2*l + 0 + 3 + 2.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 211, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3664*t - 30617 = 266167 for t.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j. Let y(v) = v + 1. Give -3*f(q) + 3*y(q).\nAnswer: 15*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153730089.\nAnswer: 3, 5693707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*w**5 - 161*w**3 - 150*w**2 + 3*w + 7?\nAnswer: 1620*w**2 - 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1 - 4*-1. Let m = 27 + z. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 142 in descending order.\nAnswer: 142, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88*(594\/(-144))\/(-33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 15*p = -266. Suppose -2 = 3*x + 5*n - p, -3*n = x - 11. Sort 0.2, x, 1.\nAnswer: x, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 120*o**2 + 121*o - 78. What is q(-61)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*o + 468*o - 145*o + 3243 = 149*o for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z**2 + 7*z + 12. Calculate h(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9825 - 29228\/3. Let d = y - 83. Sort 2, -3, d, 4.\nAnswer: -3, d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a meter in centimeters?\nAnswer: 4450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -10\/3*k**3 + 0*k + 23*k**2 + 0 - 1\/15*k**5 + 7\/4*k**4. Solve z(i) = 0 for i.\nAnswer: 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 2\/9 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*d + 20 = 0, 40 = 5*v - 2*d - 3*d. Suppose -6*m = -m - 2*k - 17, v*m - 8 = -4*k. Solve m*b - 10 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/9 - 50774*m**3\/9 + 152302*m**2\/9 + 50774*m\/9 - 50768\/3 = 0 for m.\nAnswer: -1, 1, 3, 25384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*u = 3397 - 3445, 2*g - 9*u + 177 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313948730 to the power of 1\/3, to the nearest integer?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 3*n - 40, l - 22 = 2995*n - 2993*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9341.\nAnswer: 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 60, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1356 = 4*b, 5*a - b - 1701 = -4*b. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**5\/20 + 2*g**4\/3 - g**3\/6 + 4*g**2 - 19*g - 2. Let j be x(8). Solve j = 5*u - 4*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 6*i - 3*i + (0 + 2*i + 0)*(39 - 18 - 22).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 704163626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**3 - q**2 - q + 1. Let o(l) = -5*l**3 + 2*l**2 - l - 4. Calculate -3*a(j) - 2*o(j).\nAnswer: -5*j**3 - j**2 + 5*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 789*c**4\/4 - 320333*c**3\/2 - 1285327*c**2\/4 - 161375*c - 407 = 0.\nAnswer: -1, -2\/789, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 0, 184?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)\/c)\/(c\/(c*c**(-2\/13))*c)*(c*c**(-1)\/c)**(1\/17))**(-8) assuming c is positive.\nAnswer: c**(7448\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*o + 2*o. Solve 0 = 3*w - 2*w - o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31505420 (base 6) in base 14?\nAnswer: -1a1964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 + 3 + -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(176) + sqrt(176)*3))\/(sqrt(128) + -2*sqrt(128)*3 - sqrt(128)).\nAnswer: -sqrt(7)\/768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1001156959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 7:38 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 939259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1 - -4 - 0. Suppose -4 = -2*k - 0. Let o(a) = 3*a - 1. Let m be o(k). Solve 1 = -d*s - v, 0*v - 2*v + 7 = -m*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*a**4 + 3*a*n**3 + 3*a*n**2 + 621*n**3 wrt a.\nAnswer: 192*a**3 + 3*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - -2*sqrt(175)) + (sqrt(7) + -1)*6 - ((sqrt(7) - (2*sqrt(1008))**2) + 2 + (sqrt(7) - (-1 + sqrt(7)))).\nAnswer: 20*sqrt(7) + 4023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27648, 27642, 27640, 27642?\nAnswer: 27648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o - 6 + 4*o**3 - 2 + 5*o**2 - 3*o**3. Calculate v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 101202011?\nAnswer: 101202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3481 = -7*z - 380. Let j = 988 - z. Suppose j = 5*u - 155. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/1118 and 6\/13.\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 0 + 0 + (o + 1 - 1)*(-2 + 0 + 0)*(-6*o - 6*o + 4*o).\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6 + 6*k + k - 2*k - k. Give b(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j**2 - j - 5. Is x(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/7, 6, -19, -0.5, -21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/33)\/p**(-35)*p*p*p*p*p\/(p**28*p)*p*p*p\/(p*p**(-18)) assuming p is positive.\nAnswer: p**(1022\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 440\/(-130) + (-630)\/(-455)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7401 is divided by 1842.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcfioiiidffffiiiofod. What is prob of sequence ffi?\nAnswer: 49\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12286 greater than 12331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*(-1 + sqrt(68)) + (sqrt(68) + sqrt(68) + -1)*-3)*-1*-2)**2.\nAnswer: -12672*sqrt(17) + 298512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.19 - 43.41. Let a = c - -55. Round a to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(1 + 2\/(-4)). Suppose -z + 2 + 0 = p. Suppose z*v = -3*j - 4 + 3, -22 = 2*v - 4*j. Sort -0.1, v, 1\/6.\nAnswer: v, -0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -98.407 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {i: 1, w: 2, m: 2, b: 1, z: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 43*i**2 + 203*i - 579. Calculate g(47).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 + -2?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4113.38 years to millennia.\nAnswer: 4.11338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54446*u**2 - 27174*u**2 - 27273*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4\/5 + 22588336*l**3\/5 - 31889580291384*l**2\/5 + 63779092817776*l\/5 - 31889535114724\/5 = 0.\nAnswer: 1, 2823541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/234024 and 155\/132.\nAnswer: 2574264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 32*j - 6)*(-j**4 + 0*j**3 + 2*j**4 + 3*j**3).\nAnswer: 32*j**5 + 96*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -81. Let u be (-4*24\/16)\/((-4)\/(-10)). Calculate the remainder when 4\/(-30) + ((-1307)\/u - -4) is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y, 0 = 3*a - 5*y. Let b(r) = r**3 - 3*r**2 - 7*r + 16. Let u be b(4). Solve -f - f + u*i + 6 = a, -2*f + 2*i = -8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64 - -11c?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -1\/6*r**2 + 3 + 0*r + 1\/9*r**3. Find y such that o(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -9 + 9 + -28 + 17 - (24 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.9 - 13.8. Let t = -4.93 - 0.07. Which is the second smallest value? (a) t (b) -1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10822 and 12.\nAnswer: 64932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 19 + 3. Let l(f) = 69*f + 9. Is 7 a factor of l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 25*q**2 - 4*q + 21. Let r be b(26). Suppose -7*g = r + 72. Let z = g + -3. What is z rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 22*f - 10. Let s(b) = 3*b**2 - 33*b + 15. Let x(m) = -7*g(m) - 5*s(m). Let k be x(10). Solve -3*i = 20 - k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14292348.\nAnswer: 2, 3, 7, 229, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 812 and 609?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ququ. Give prob of sequence uq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859700 is divided by 214922.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 107356.1 and 8146?\nAnswer: 99210.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -37208?\nAnswer: 1\/9302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5 + 12960*l**4 + 499344*l**3 - 38872*l**2 - 1472148*l + 998712 = 0 for l.\nAnswer: -3201, -39, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/24)\/((57\/38)\/(2\/9)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 3*r - 7*r + 33, g + 5*r = 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*w + 9*w - 48, -75 = -5*n - 2*w. What is the greatest common factor of n and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1270 is divided by 119?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 721 = q + 726, -2*n + 5*q + 565 = 0. List the prime factors of n.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.067439, -8, -35?\nAnswer: -0.067439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 2) + -4 - (2 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 140759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 1\/21*p**3 - 15\/14*p**2 + 0*p + 57. Determine a so that g(a) = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550.5 + 5?\nAnswer: 555.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6. Suppose 0 = f + 3*d - 5 + 2, 4*f = -j*d + 42. What is the least common multiple of f and 1\/2*-2 + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + l**3 + 4*l**3 + 4 in the form t*l**3 + q*l + s*l**2 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 at least as big as 1313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*g - g + q, 5*g = 4*q + 26. Suppose 0*k - k + 12 = c, k - g = c. Let m = k - -21. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13832, -55420, -124744, -221804?\nAnswer: -346600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 25, f + 5 = -2*b - 5. Let l = -1901044\/233 + 8159. Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1151?\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.2 and 131764377360?\nAnswer: 131764377361.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 180*r**2 - 4. Give p(-1).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z - 36. Let j be w(-20). Calculate the highest common factor of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkr when three letters picked without replacement from {k: 2, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -9 (b) -7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xwxxwexexewexxwxx.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23314.\nAnswer: 2, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7768.652ml to litres.\nAnswer: 7.768652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.123671772 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*p**2 + 466*p + 24.\nAnswer: -(p - 12)*(39*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 1. Let l(j) = -4*j - 5. Let o(f) = -f. Let x be o(-5). Suppose x = a - 17. Suppose 0 = 4*s - p - 13, 4*p = s - a. Give s*l(u) - 9*g(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*c + c + 5*c)*(0 + 0 + 1) + (2 + 0 + 0)*(-c + 4*c - 2*c))*(0*c + 4*c - 3*c) as p + l*c + a*c**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2 + sqrt(208))*-4*1 - 6*((sqrt(117) + 0)*-1 + 3*(sqrt(117) + 0)))**2.\nAnswer: 1040*sqrt(13) + 35252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9225339523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6*l = 0. Suppose -2*v - 5*f + 29 = l, 7*v = 2*v - 5*f + 35. Suppose -3*x + 12 = -v*x. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.94622 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -y + 658, -5*y + 650 = 19*o - 14*o. Let z = 11 - 0. Suppose -o = -x - z. What is the highest common divisor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**8\/80640 - a**7\/20160 - a**5\/5 - 5*a**2. Let u(p) be the third derivative of g(p). Factor u(b).\nAnswer: b*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 3. Suppose -3*a + 30 = -4*v, 4*v + 8*a = 5*a - 18. Calculate the least common multiple of 54 and n(v).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-2 - -6) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3415125981 to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2\/3, -2\/5, -130, -2.2, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 6*u**2 - 7. Determine q(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14391749 is divided by 1238.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51324762 + -33?\nAnswer: -51325015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14 + 5)\/27*113*-3 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.038 + 27.038. Let l = -402 - -427. Let y = l - d. Are -6 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29553.5 litres in millilitres?\nAnswer: 29553500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/8 - (-115)\/(-20). Let s(k) = 2*k**2 + 7*k + 8. Let r be s(b). Let x = r + -14. What is the greatest common divisor of x and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2 + 6*z**2 + 5*z - 4*z**2 - z**2. Let q be i(-5). Let p be 3*-3 - (68 + -82). Solve q*d - p = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/189)\/(150\/(-420)).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1428950058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*o = -5348, -109*q + 113*q - 3*o - 10681 = 0. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 7\/41 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25299 + 25526. Calculate the highest common divisor of 28375 and b.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*r = 23*r - 136 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + 3*d + 1. Give i(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 158*l**2 - 3532*l - 664. Calculate g(131).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16823 - 16823.1. Is 1010\/9 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -129, -342, -643, -1032?\nAnswer: -1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -5\/9 (c) 4106251\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 + 3*w. Let h be p(3). Suppose -3*j - 10 = l - 0*l, -4*l + 2*j + 30 = 0. Let z = l - h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j - 11. Let c(l) = -2*l + 5. Let h(b) = 9*c(b) + 4*f(b). Let n(g) = g. Let w(v) = -h(v) - 5*n(v). Let z be (4 - (-5)\/5) + -4. What is w(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -33*k - 208. Let b be -10 + (-5 - 81\/(-9)). Determine h(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8653103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0452 - 0.9548. Suppose 0 = -w - 6 - 3. Which is greater: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 3*f**4\/4 - 2. Let q = 23634 - 23628. Calculate the lowest common multiple of y(2) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooei when four letters picked without replacement from {i: 1, o: 3, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 107.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0294890543 to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74304242.\nAnswer: 2, 37152121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 0*m + 2*m**2 + 1\/6*m**4 - 2\/3*m**3 + 0. Does 8 divide d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 e when four letters picked without replacement from {e: 9, f: 7, j: 2}.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2853 = -0*m - 3*y, 5*y + 1715 = 3*m. Suppose -13*p + 249 = -m. Calculate the remainder when p is divided by 60.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 12\/7*j**7 + 69*j + 2\/3*j**3 + 0*j**4 + 66 - 4\/5*j**5 + 0*j**6 + 0*j**2. What is the third derivative of c(u) wrt u?\nAnswer: 1440*u**3 - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20799, 2, -4\/25, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21184\/11 + -1926. What is the closest to -0.4 in 1, -2, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 46\/3*j + 2\/3*j**2 - 16 = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4306 kilograms?\nAnswer: 430600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/8 - 39*l\/8 + 9\/2.\nAnswer: 3*(l - 3)*(l - 1)*(l + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, v: 4, g: 7, h: 4}. What is prob of sequence fvv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*t - 83345 = 71535. Is 55 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t*t*t\/t**(-2\/9)*t*t)\/t))**(7\/4)*(t*t\/(t*(t*(t**(1\/2)*t)\/t*t)\/t*t))**(-4\/11) assuming t is positive.\nAnswer: t**(-1355\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -18. Let m = 31 - q. What is the remainder when 84 is divided by m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 13 = -5*a, 2*a = a - 4. Calculate the smallest common multiple of u and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z - 1. Let d be (-2)\/(-4)*2*4. Let j = d + -2. What is the lowest common multiple of o(j) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -135162 < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*d - 1511 = -1481, -4*d = -5*m - 24 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 660? (a) 0.2 (b) -9\/5 (c) 0 (d) -2\/3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111210120012 (base 3) in base 5?\nAnswer: -434202141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030573 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i**2 + 7*i**2)*(14 + 10 - 6).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.8 - -4.8. Let u(v) = v**2 - 15*v - 41. Let k be u(20). Let q = -64 + k. What is the third smallest value in q, h, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + l = -2*q + 1, -3*q - 28 = -5*l. Is -8\/13 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w. Are w and 2\/33 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179505*g**3 + 11*g**2 - g + 1132 wrt g.\nAnswer: -1077030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.508435 to two dps.\nAnswer: -6.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/4 + ((-52)\/6)\/((-20)\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27005)\/(-1595) + -17 - (5620\/928 - 5)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1613*r**4 - 116*r**2 + 1348592.\nAnswer: 6452*r**3 - 232*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0)**(-43\/4)*(q\/q**(-6\/7))\/(q**(-9)*q))**(-36) assuming q is positive.\nAnswer: q**(225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6820 + -6820.1. Which is the nearest to -0.36? (a) h (b) -1\/5 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 64 + 180. Let a = p - -345. What are the prime factors of a?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o**2 - 171932989899161 + 171932989899161.\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*k = 0, 5*y - 11 = -k + 7. Let c = -12 + y. Let v = c - -18. What is the highest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 908 + -399. What are the prime factors of p?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8890*s**3 + 8760*s**3 - 2*s**2 - 38 + 2*s**2 + 37 + 16*s.\nAnswer: -130*s**3 + 16*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 786 divided by -3\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + p**2 - 134*p - 12. Let b be r(-12). Let m = 1 + 1. Solve -b = -l - m*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64003, 64032, 64075, 64132, 64203?\nAnswer: 64288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5 = -3. Suppose 0*w = w - z. Suppose w + 1 = 5*l. What is the lowest common multiple of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 109358.\nAnswer: 109354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.151229 rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -734*v**3 - 743*v**3 - 719*v**3 + 4649*v + 2193*v**3 in the form o*v**2 + x*v + n*v**3 + u and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 45*q**2 - 2*q - 85. Let h be x(-45). List the prime factors of -8*h\/10 + 853.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 406\/120 + (-456)\/(-532)*70\/(-18)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87316\/15 - 5818. What is the common denominator of d and 46\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p + 3. Let a(n) = 4*n + 1. Let c(s) = s**3 - 8*s**2 + s - 5. Let o be c(8). Let w(m) = o*x(m) - 5*a(m). Calculate w(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 less than -5162469?\nAnswer: -5162812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.47 + -0.07. Let h = k - 1.4. Let p = -0.6 - h. Sort -1, -3\/5, p in decreasing order.\nAnswer: p, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8. Let f(i) = -2 - 4 - 4 + 3 + 5*i. Is 9 a factor of f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + (-27)\/12 - (-133084490)\/1960?\nAnswer: 2, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17, -31, -45?\n\"Answer: -14*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -295\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/6*((-1540)\/(-100) + -15)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28812*s**2*w**2*z - 7*s**2*w**2 + 7*s**2*w*z - 114*s**2*z - 6*s**2 + 2*s*w*z wrt w.\nAnswer: -57624*s**2*z - 14*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 60 - 15 - 29*q - 16 - 17 as h*q + r and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 8) in base 5?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.05 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 633604 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: Let h = -2.12 - -0.12. Let x be 4*(-3)\/(-6) - -3. Suppose 0 = 4*n - x*j - 5, -5*n - 3 = -j + 4*j. Put h, n, 0.5 in increasing order.\nAnswer: h, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j - 68. Let f be q(23). Which is the biggest value? (a) 0.4 (b) 0.03 (c) -2\/3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + u - 2*u + 3*u. Let x(y) = -11*y**2. What is x(t(q))?\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21379318 divided by -64?\nAnswer: -10689659\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(700) + -3 + sqrt(700)*3 + 1 + 1))**2.\nAnswer: -160*sqrt(7) + 11204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3272 - 9818\/3. Is o at least 2509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072 is divided by 509?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.5, 5, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 7 + 5*g - 6*g)*(4*g**2 - g**3 - 4*g**2).\nAnswer: g**4 - 14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140 - -415\/3. Let c = -3 - -3.1. Let p be 5*6\/60 - (-14)\/12. Put p, c, b in decreasing order.\nAnswer: p, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-2)\/2*1. Suppose 16 = -18*r - 56. Let d be (3 - (-1 + r)) + 17. Solve -s - 7 = w, m = 5*w + 2*s + s + d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -0.0817, 2, 11?\nAnswer: -0.0817","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ghhhugghhuhg?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 12*m + 68. Let o(w) = -6*w + 34. Give -2*n(g) + 5*o(g).\nAnswer: -2*g**2 - 6*g + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**8\/50400 + a**7\/3150 + a**6\/600 - 2*a**5\/15 - 12*a**2. Let k(x) be the third derivative of g(x). Factor k(p).\nAnswer: 2*(p + 1)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4\/14 - 10*1047356\/(-665)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14706197?\nAnswer: 11, 1336927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, 609, -5\/2, -0.05, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1. Let x(t) = -8. Let s(h) = -x(h) - 4*z(h). Let n(p) = p - 9. Suppose -w = 2*w - 2*m + 4, 0 = 3*m - 15. Calculate w*n(q) + 5*s(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1717*n + 1 + 1950*n - 1.\nAnswer: 3667*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/206480 and -137\/4176.\nAnswer: 1858320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y. Let j = 23 + -4. Suppose 5*o - j - 1 = 0. Let d(c) = 0*c + 3*c - o*c. Give d(p(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 6*u**2 + 7*u - 12. Let w(z) = -z**2 - z - 1. Calculate -n(x) - 7*w(x).\nAnswer: 2*x**3 + x**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*f + 4, -2*o - 20 + 0 = -4*f. Let c = 4 - f. Sort c, -1, 2 in ascending order.\nAnswer: -1, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -181 + 183. Solve -3 = -5*l + g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 5 + 0*k + 1. Let f(c) = -8*c - 11. Let q(i) = 11*d(i) - 4*f(i). Let v(o) = o**2. What is q(v(r))?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 639 times 51574\nAnswer: 32955786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -6, 0.4, 15, 3\/134, 0 in increasing order.\nAnswer: -6, -1\/5, 0, 3\/134, 0.4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -9.5. Let n be 4\/(1*4\/22). Suppose -4*s + 2 = n. Sort r, 0.4, s.\nAnswer: s, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 54. Let m(f) = 9*f**2 + 7*f - 17. Calculate the remainder when m(2) is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3. Suppose 0 = -5*g + 4*g - 1. Let w be (g - 1)*b + 17. Solve 4*t - w = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-68)\/(-8))*3\/27\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.128? (a) -4\/7 (b) 2056 (c) 1 (d) -4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, 227, 632, 1177, 1862, 2687, 3652?\nAnswer: 4757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173312429 a multiple of 5240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g**3 + g)*(0 + 0 - 5*g**2 + (-6*g + 2*g + 2*g)*(-g + 0*g + 0*g)).\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.071 and 4.\nAnswer: -2.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-18)\/8 - -2). Let p(c) = c**2 + 8*c + 8. Let r be p(i). Solve -f = 0, 2*g + 2*f = -f + r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/17280 and 99\/4960.\nAnswer: 535680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l - 2*l**3 + 4*l**3 + 7 - 30*l.\nAnswer: 2*l**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.482256 weeks?\nAnswer: 3315668.4288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -4, 22.\nAnswer: -4, 22, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 + 66*k + 33. Let l be m(33). Suppose -28*c + l + 23 = 0. Determine v so that -4\/3*v**4 + 8\/3*v**3 - 16\/3 + 4*v**c - 16\/3*v = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 71. Suppose 2*p + 3*p + c = 268, -u*p - 5*c = -280. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {e: 1, o: 8, k: 1, j: 1, z: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2572*f**2*y**4 - 3122*f**2*y**2 - 5*f**2*y + f**2 - 2*f*y + 4*f - 24*y + 16479 wrt y?\nAnswer: -30864*f**2*y**2 - 6244*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0. Let x(d) = 2*d - 2. Let h(w) = 3 + 2 - 54*w + 55*w. Let u(l) = 1. Let m(p) = -h(p) + 6*u(p). What is f*x(j) - 3*m(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*u - 237. Suppose 0*z - u = -3*z. Is 4 a factor of (-3)\/z - (-151)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5963 - -9113. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*h + 331, -4*t = -0*h - 2*h - 438. Let w = -58 + t. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -48. What is the lowest common multiple of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 32. Let z = 3 - 4. Let c be (z\/u)\/(5\/30). Do c and 3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 10:12 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-168 - (-11 - -9))\/12 and 57\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 + 145.1. Let z = -51 + t. Let n = 0.1 - z. Which is the third smallest value? (a) 1 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83496358?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/18 and 27\/104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10392474, -10392498, -10392522, -10392546, -10392570, -10392594?\n\"Answer: -24*q - 10392450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2412\/5? (a) 1 (b) -4 (c) -0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -19*h - 1256 - 1291 + 2544. Let x(i) = -39*i - 6. Give 13*a(f) - 6*x(f).\nAnswer: -13*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/28 and 376\/(-132)*(-2 - 15\/(-12)).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -196, -2, 1\/4, -3\/7 in descending order.\nAnswer: 1\/4, -3\/7, -2, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1037 + 0?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -38, -32, -6, 46?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*b\/(b\/(b\/(b*b**6))*b*b)*b)*b)\/b**(1\/16) assuming b is positive.\nAnswer: b**(95\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + 1210?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -60*m - 3. Let j(o) = 242*o + 13. Determine 9*g(b) + 2*j(b).\nAnswer: -56*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/206? (a) -36 (b) -1\/3 (c) -5 (d) 1\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**2 - 79*y**2 + 31*y**2 + 34*y**2 + 9.\nAnswer: 5*y**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -298*h**3 + 144*h**3 + 3 + 0 + 171*h**3 + 2*h - 5*h. Let k(w) = -34*w**3 + 5*w - 5. Give 5*a(c) + 3*k(c).\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*v - 5*c + 9292 - 9161, 5*c - 77 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 5*b + 671 = 0. Suppose 59*h = b*h - 1082. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -2, 6 in increasing order.\nAnswer: -2, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165 or -1?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40439012.\nAnswer: 2, 10109753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8014 or 37?\nAnswer: 8014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21599399*z**3 + 3*z + 2876615.\nAnswer: 129596394*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9 + 2*s**2 + 76*s + 883*s**4 + 1740*s**4 + 221*s + 1251*s**4 - 1059*s**4 wrt s.\nAnswer: 67560*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*y - 740, 15*t + y + 760 = 20*t. What is the greatest common factor of t and 374?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + 1)*4 + sqrt(1700))**2 + (sqrt(17) + -1 + -3)**2 + 4.\nAnswer: 392*sqrt(17) + 42553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 0.3, 5, -6\/7, -1\/4, -2 in descending order.\nAnswer: 5, 0.3, -1\/4, -6\/7, -2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5965?\nAnswer: 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 30 = -26*z. Let v be 36\/60 - 33\/z. Factor v*q**2 + 18\/5 - 6*q - 2\/5*q**3.\nAnswer: -2*(q - 3)**2*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*m**2 + 0*m**2 + 22*m**2 - 6*m**5 + 9*m - 7*m**5 - 2*m**3 wrt m.\nAnswer: -780*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 4)*(-21 + 30 - 14) + (-1 - 2 + 1)*(0 - 1 + 2) + 1 + 3 - 2)*(-s + s + s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3*f, -4*m = -2*f - 9 + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 751, -315, -1381, -2447, -3513?\n\"Answer: -1066*a + 1817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 60. Find the common denominator of (-2)\/7 + m + (-1724)\/(-448) and (-16)\/(-66) - (-1)\/6.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 719 + 706 = 8*y + 1477, y + 5 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(119)*-5 + sqrt(119) + 2*sqrt(119)*6)\/((-2*sqrt(343) + sqrt(70)\/(-1*sqrt(10)))*5).\nAnswer: -sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1323) + (sqrt(1323) - (sqrt(1323) - 3*sqrt(1323))))*3)\/((sqrt(1089)*3 + sqrt(1089) - sqrt(1089)) + -6*sqrt(144)).\nAnswer: -56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 595.141 grams?\nAnswer: 0.000595141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -56, 300, -5, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**8\/6720 - h**7\/560 - h**6\/120 - h**5\/15 + 5*h**2. Let s(x) be the third derivative of t(x). Let s(p) = 0. What is p?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1058000 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 621 + -621. Put 0.1, 95, d, 1 in decreasing order.\nAnswer: 95, 1, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -11*l**2 - 2*l + 55. Let h(d) = 32*d**2 + 5*d - 158. Let i(q) = 6*h(q) + 17*z(q). Let x be (15\/6)\/(1\/2). Is 19 a factor of i(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 12\/8*-2. Let q(z) be the third derivative of 0 - 2\/3*z**3 + 1\/12*z**4 + w*z + z**2 + 1\/30*z**5. Determine r so that q(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 = o. Let a = -2 + o. Suppose a = 2*c - c - 20. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 141, 156, 189, 246, 333, 456, 621, 834?\n\"Answer: m**3 + 3*m**2 - m + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45323.4 + -0.4?\nAnswer: 45323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/72 and 97\/150?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**5\/60 - j**3\/3 + 1. Let b(o) be the third derivative of u(o). Let x(d) = d + d - 4*d. Give b(x(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -32.089. Let l = c - 0.011. Which is bigger: l or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3956 + -3928 - (17 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 11*m - 3. Let u be r(-6). Let s be (6 + 4 + -7)\/u. Find the common denominator of (-335)\/(-90) + 0 - s and -11\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 46 + 4*y - 3*y + 7*y.\nAnswer: 4*y - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-4)*(-14)\/56\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*v + 88, -3*v + 6*v + 15 = 0. Let x = q - 44. List the prime factors of (262\/(-4))\/(4\/x) - 0.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 5*x**2 + 7*x - 19. Determine c(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6315 = -6*q + 993 + 15348. What are the prime factors of q?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 121 = -460. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4382307.\nAnswer: 3, 486923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7051567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 120\/80*(-16)\/(-12). Let u(t) = -7*t**2 + 15*t - 15. Let a(z) = -3*z**2 + 7*z - 7. Let o(q) = 13*a(q) - 6*u(q). Calculate o(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.7, 10935, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -507*f**5\/20 + 5*f**4\/6 - f**3 + 19*f**2\/2 - 2688*f. Find the third derivative of n(z) wrt z.\nAnswer: -3042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 s when three letters picked without replacement from usgg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1733 + 1735. Let n = 0.17552 - 2.17722. Let h = n + a. Round h to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 28 = 3*m. Let a(d) = 2*d**2. Let w be a(-2). What is the highest common factor of w and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**2 - 17*t**2 + 53*t**2 - 22*t**2 - 1.\nAnswer: -4*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*i - 20 = -89*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16985.8 * -4\nAnswer: 67943.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -15824, 6, 5.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 22*p. Let i = 19 - 13. Let d = i - 6.4. Which is the nearest to p? (a) 3 (b) -2\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11848.\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121331 (base 6) to base 2.\nAnswer: -1110000000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -17, -11 in ascending order.\nAnswer: -17, -11, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0. Let p be 66\/(-12) - w\/(-2). Let b be 84\/2 - (p - -4). What is b rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - f + 7 = -2*s, 5*f - 14 = 3*s. Let m(d) = -12*d - 5. Let v be m(s). Let u = -18 + v. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001276 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855*x = 723*x + 2326236. Is 39 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*m**3 + 0 - 12\/13*m - 2\/13*m**2.\nAnswer: 2*m*(m - 3)*(m + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646666 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -3 (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:38 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 155\/7 - 22. Let a(k) be the second derivative of 0 + 1\/42*k**4 - 2\/21*k**3 + 2*k + w*k**2. Factor a(s).\nAnswer: 2*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4295?\nAnswer: 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/7 - a**2 - 4520*a\/7 - 43500\/7.\nAnswer: (a - 75)*(a + 10)*(a + 58)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2640 - 2650. What is the fourth biggest value in 4, 1, -1, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-4 + 41 + -14 + 8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2545534.\nAnswer: 2, 31, 41057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0 - 15 = 0. Let h(x) = x + j*x - x + x. Let p(w) = 2*w. What is -2*h(r) + 5*p(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -630 * 8.4.\nAnswer: -5292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 18 = -1205*o + 1214*o, -6*o = b - 2*o + 21 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -1\/22*g**4 + 0*g**2 + 1\/33*g**6 - 2\/55*g**5 + 0*g + 2\/33*g**3 + 5. Suppose r(y) = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 10:25 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/15)\/d**(-1\/5))\/(d\/(d\/(d**(-1)\/d)))**39 assuming d is positive.\nAnswer: d**(1171\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 42 = -c. Suppose -l + 3 = v - c, 3*v = -5*l + 118. Suppose -5*o + 4*f + l = 0, -4*o + 5*f + 9 = -13. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3921 is divided by 279.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 956 or 171812?\nAnswer: 956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 520*l + 1048.\nAnswer: -2*(l - 262)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/90 - v**4\/6 - 8*v**3\/9 - v**2 + 4*v. Let w(o) be the first derivative of z(o). Factor w(t).\nAnswer: -2*(t + 2)*(t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f + 2*f**2 + f**2 - f - 8*f - 5*f**3 in the form w + s*f**2 + i*f**3 + k*f and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1035809, -1035797, -1035777, -1035749, -1035713?\nAnswer: -1035669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4586 is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 8*l + 7*l)*(2 + 0 - 3) + 619 - 26*l - 621 - 35*l + (-l + 0*l + 2*l)*(-2 + 1 + 3) to m + a*l and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 159 = -162 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - h + 3*h + (-1 - 2 - 1)*(-3*h - 2*h + 3*h) + (31 - 31 + 13*h)*(4 - 3 - 4) to q*h + v and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 2532*g**3 + 23 + 2904*g**3.\nAnswer: 372*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w = -10*w. Suppose 5*a = 20, 5*a = -w*d + 4*d + 8. Let z(k) = 13*k + 8. What is the units digit of z(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2137 is divided by 61.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/4 - 2341*t**2 + 158321*t\/4 + 2701283\/2 = 0.\nAnswer: -17, 34, 9347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5 - 0. Suppose -6*h - 27 = 33. Let w be (2 - (-8)\/h)*(-5)\/7. Is w greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0434 in 3\/7, 2, 3, -8\/103?\nAnswer: -8\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1 - 5*v - 6*v - 22. What is the units digit of q(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**2*y**4 + 551*o**2*y**3 + 220*o**2*y**2 + 3*o**2*y + o*y**2 + 3*y**4 - 3 wrt y?\nAnswer: -24*o**2*y + 3306*o**2 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 874*r + 2. Let g(i) = 2*i**2. Give g(a(u)).\nAnswer: 1527752*u**2 + 6992*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -31743 smaller than -158711\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(8040\/130 + (-4)\/(-26)). Let p(v) = v - 4*v**3 + 29 + 5*v**3 - o*v**2 + 61*v**2. Determine p(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1 - x + 9 + 0. Suppose 5*d + 1078 = 5178. Let q(v) = 817*v + d*v - 1639*v. Calculate q(z(l)).\nAnswer: 2*l - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)*(d**(-2\/3)\/d)\/d*d*d\/d**(-2)*d**(-3)\/d*d assuming d is positive.\nAnswer: d**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001110101 + 1000001011101111?\nAnswer: 1000100101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -36 - 1 - 3. Let o = u - 16. Calculate the remainder when 29 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(1\/2)*t)*t**(2\/11))**(1\/13) assuming t is positive.\nAnswer: t**(-7\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -944*j + 8499. Let r be b(9). Put r, 2, 0, -247 in ascending order.\nAnswer: -247, 0, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.023, -111, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 353194374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.9157 to 0 dps.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66678 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**3\/3 + 10167. Let v(i) = -5966*i. Give v(y(l)).\nAnswer: 5966*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 296 - 504 = 0. Calculate the greatest common factor of 3003 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4. Let b(p) = 10*p**2 + 953*p + 282. Let l be b(-95). Put -2, 1\/5, l, f in decreasing order.\nAnswer: 1\/5, f, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 37*k + 531 = -16*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138028 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.81195 - -0.11195. Which is the fourth smallest value? (a) -3 (b) -25\/2 (c) o (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9)\/(81\/354))\/(-4) and 4\/13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78.87 - -0.13. Let f = -79.000049 + q. What is f rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.19823 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 499*r - 131*r - 2 - 86*r**2 + 157*r**2 - 69*r**2 as z + a*r**2 + w*r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 1:23 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 10*k + 70 + 26, -5*v + 50 = -3*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 398*a + 106*a + 2*a**2 + 292*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28219902 is divided by 1249.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 130651657969955?\nAnswer: -130651657969954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*i - 1679, 3*i - 1140 = l - 2817. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 60. Solve 2*q - 5 = u*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121125571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -37*n - 10. Let z(u) = -38*u - 11. Let c(x) = -4*j(x) + 5*z(x). What is the remainder when 73 is divided by c(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (-45 + 14) - (-1 + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 72\/(-63)*644\/(-184). Determine i, given that -8*i + 44\/7*i**3 - 92\/7*i**2 + 0 + 8\/7*i**v = 0.\nAnswer: -7, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(208))*-2 + 5 + -2*(1*-1*sqrt(143))\/(sqrt(1100)*2).\nAnswer: -5 + 161*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3756*n**2 + 1977*n wrt n?\nAnswer: -7512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60581699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24113106317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 297595\/4957092 - -14\/6557. Find the common denominator of l and 52\/189.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 7*r**2 - 65*r. Let x(z) = -z**3 - 5*z**2 - 66*z. Calculate 6*v(y) - 5*x(y).\nAnswer: -y**3 - 17*y**2 - 60*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5850 and 53118?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2840 and 21\/2272?\nAnswer: 11360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 12*u + 18. Let k(t) = t. Let s(m) = 3*k(m) + w(m). Determine s(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 492 and 28.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 - 25*k**3 + k**2 + 25*k.\nAnswer: -k*(k - 1)*(k + 1)*(k + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -388*j + 11903. Let m(g) = g. Calculate m(w(h)).\nAnswer: -388*h + 11903","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 = 5*h, 5*h - 4*f = -0*f + 35. Put h, 4, 0.1, -2\/7 in decreasing order.\nAnswer: 4, h, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f - 8. What is s(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4452 divided by -6?\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - (-102764)\/4462)*(-3 + 15\/9 + 2)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*(-5 - (-24052)\/(-51)). Let n = -4291 - f. What is the common denominator of n and -2 + (-16*3)\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/97, -0.3, -32?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t**4 + 12*t**4 + 2*t + 223*t**3 - 2188*t**3 - 2 - t**4 - 1222*t**3 as u*t**4 + b*t**3 + g*t + h + r*t**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*2 + (578 - 244). Calculate the highest common factor of 270 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41516344567 - 41516401054.5000035. Let z = -56489.1 - a. Let l = -1.6 - z. What is l rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65.2 - -73. Let n = -8.32 + x. What is n rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**2 - n - 4. Let p be g(-2). Let r = p + 37. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v - 2*t = -16, 3*v + 2*t = 19. Suppose -3*g + 34092 = v*x, -2*g + 2*x + 14098 = -8642. Is g\/(-45)*-1*5 + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1292 and 1507688?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*n - 16294 = 29549. What is the greatest common factor of n and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -2.30117\nAnswer: -1.90117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 1:03 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 11:28 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -3448a2?\nAnswer: 3448a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by -2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - w**2 - w + 82. What is b(0)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 82*a**2 - 158*a - 78.\nAnswer: -2*(a + 1)**2*(a + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(-3*sqrt(7)) - 5*(sqrt(12) - sqrt(60)\/sqrt(5)))\/((sqrt(196) + sqrt(196) + (3*sqrt(196) - sqrt(196))*-5)*-4))**2.\nAnswer: 1\/150528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004943321 to five decimal places.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36464 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1350999*d**2*h**2 + 394*d**2*h + 3*d - 8*h - 5 wrt h?\nAnswer: -2701998*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -310647 (base 8) in base 13?\nAnswer: -37a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 19.33.\nAnswer: 18.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 4315*j**2 - 8 + 4316*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/9 - 2\/(-8)*(4 - 2). Let x = 5 - 4.8. What is the nearest to 0.1 in x, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2022 - 20020303?\nAnswer: -20022331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 16 - 26. Suppose 0*q + k*a + 9 = q, 3 = -a. Suppose -2*b = q*b - 15. Sort -4, b, 4 in descending order.\nAnswer: 4, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-11128)\/1078 + 7875\/343 + -23).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495552663 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 266, 445, 696, 1019?\nAnswer: 1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 10. Suppose 4*s - 3 + 23 = 4*m, -2*m + 14 = -4*s. Let d(a) = -1 - a + 0 - 1 - m. Let j(b) = 6*c(b) + 11*d(b). Calculate j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 4*i + 4. Let n be m(4). Suppose -3 = -t + 5*f + n, -51 = -4*t - 3*f. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 239.8 - -66.2. Let l = h - 305.9. What is the fourth biggest value in 4, -0.1, l, -22\/3?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let s = o - -2. Let p = 0.5 - 1.5. Which is the third biggest value? (a) s (b) p (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3328 - 1.2.\nAnswer: -3329.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 306591026882985 and 1.\nAnswer: 306591026882986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 5) to base 6\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 + p**2. Let c be x(-1). Suppose -3*y = 12, -2*i + 27 + 29 = -c*y. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*r**2 - r**3 - 245*r**2 - 10 + 127*r**2 in the form g*r + i*r**3 + z*r**2 + s and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l + 4. Let k = -94 + 109. Sort l, k, 2 in descending order.\nAnswer: k, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*v + 40, 4 = 2*m + 3*v - 1. Suppose -5*b + 0 = -m. Let q = 37 - 15. Solve 4*z + 8 = u + q, -5*z + 19 = -b*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 264*n - 2372. Let i be h(9). Solve i*c + 629 = 649 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*-3 - (-2)\/(-4). Let r(b) = 5*b**2 + b. Determine r(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121900 and 625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 - 70 = 3*c + 5*z, 0 = z - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1114305 (base 6) to base 7.\nAnswer: -324215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**5\/120 + n**3 + 14. Let m(z) be the third derivative of w(z). Let b(i) = 4*i**2. Determine m(b(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 132 = -w. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1abc - 37ce?\nAnswer: -528a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 446, 940, 1632, 2522, 3610, 4896?\nAnswer: 6380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2 - 8 = 0. Let d be 0 + ((-6)\/(-9))\/w. Let k = 0 - 1. Is d less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*h - 148 = 0, -g = 4*h - 0*h - 149. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/2 + 1237861*l + 1532299855321\/2 = 0.\nAnswer: -1237861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8950855 is divided by 271?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 64720 divided by -12944\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 26408790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/5 of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98407661?\nAnswer: 11, 8946151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2, -60 in decreasing order.\nAnswer: 3, 1, -2, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/12*1)\/(198\/891)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - c - 4)*(-c**2 + c**2 + c**3) + 7*c**3 - 7*c**3 + 10*c**4.\nAnswer: 9*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/30 and -137\/9894.\nAnswer: 49470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - f + 0*f = -11, -s + 2*f = -3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4494718 divided by -5.\nAnswer: -4494718\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18047?\nAnswer: 18047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = 4*b + 13, 0 = 2*s + 8. Let r be 4\/10*(0 + 15\/3). Solve b = x - r, 4*x = 3*u - 0 + 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/231 and 23\/35?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -614097660 less than -0.4?\nAnswer: 614097659.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 7. Let c be a(-5). Suppose 0 = -c*l + 6*l - 8. Solve 10 = -0*j + l*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 2. Let k be a(5). Let u(m) = -255*m - 2296. Let r be u(-9). Put k, r, 0.3 in ascending order.\nAnswer: r, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2106866*z - 2106921*z - 4125 = 0 for z.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5590 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*j*u*y + 48*a*j*y**3 + 6*a*u*y**3 - 3*a*u*y + 10*a - j*u*y**3 - 5*u*y**2 wrt y?\nAnswer: 288*a*j + 36*a*u - 6*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 15*l - 30. Let j be h(12). Let a(w) = 23*w**3 - 23*w**2 + 23*w + 17. Let t(r) = 8*r**3 - 8*r**2 + 8*r + 6. Determine j*a(y) - 17*t(y).\nAnswer: 2*y**3 - 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**4\/4 + 6*j**3 + 30*j**2 + 2*j + 507. Factor v(q).\nAnswer: 3*(q + 2)*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 88, 4, 27, 0.35, -9?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*i**2 - 4 + 4 + 2*i**2 + (-2*i + i - i)*(-i + 2 - 2) + i**2 - 327 + 327 + 442*i.\nAnswer: 3*i**2 + 442*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 minus 0.0845?\nAnswer: -0.4645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-21) + (-550)\/1400.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 1 + 9. Let a = t - -165. Calculate the highest common factor of 32 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 9*b**2 - 7*b - 1. Let y(f) = -1 + 4*f - 2 - 3*f + 1. Calculate the smallest common multiple of p(-5) and y(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 8*t + 7 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 44*g + 20*g - 7 = -21*g, 0 = 5*g + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93546638 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(99)*6)\/(2*sqrt(9)*6 + sqrt(9)))**2 - (2 + 3*(sqrt(1331) + -1) + -2*sqrt(1331) + -1).\nAnswer: -11*sqrt(11) + 734\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 4*w + 15. Put w, 2, -3 in decreasing order.\nAnswer: w, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-4)\/(-14))\/(85\/(50575\/(-2210))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122974 - -204027. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -285, -422, -559, -696?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35313*g**3 - 48*g + 3062026 wrt g.\nAnswer: 105939*g**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.036423264 * -3.\nAnswer: -0.109269792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - 108. Suppose -y*w - 39 = -49. Calculate the highest common factor of w and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1907280 and 126?\nAnswer: 13350960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*s - 3*i, s - 2*i + 1 - 11 = 0. Suppose -6*a + 891 + 303 = s. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3750 and 149\/990?\nAnswer: 123750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*b - 53. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22200 (base 3) to base 6\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 24 = 4. Let h(q) = q**2 - q + 7. What are the prime factors of h(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*a = -0 + 2, 2*p = -4*a - 2. Let v(z) = 2*z**2 - 10*z - 10. Let m be v(p). What is the highest common divisor of m and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11275499 is divided by 2255093?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**3 + 3*i**2 - 4*i + 3. Let w(b) = b**3 - b**2 + b - 1. Give -t(m) - 3*w(m).\nAnswer: m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -4*w**3 - 21*w**2\/2 - 324*w. Let r(b) = b + 1. What is 5*h(z) + 105*r(z)?\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**4 - 356*l**3 + 1008*l**2 + 2096*l - 2752 = 0.\nAnswer: -2, 1, 4, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*t - 664*t - 429*t - 84*t - 29*t.\nAnswer: -1637*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -2*t + u, u = t + 3 - 124. What is the greatest common divisor of 45 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -216*n**4 - 92*n**2 - 2172859?\nAnswer: -864*n**3 - 184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 96\/31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6806 - 4699. Let p = c - -176. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287346164?\nAnswer: 2, 7, 10262363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5\/3 (b) -1\/2 (c) -0.2 (d) 0.066\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-81)\/156 - (-3)\/(-12). Which is the third biggest value? (a) -1 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 15*w - 13. Let b be c(9). Let r = 337\/5 + b. Is 1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 28*a - 26*a - 266, 2*a + 14 = 0. What is the smallest common multiple of 228 and n?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -748 (base 12) to base 14.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 2, y: 4, m: 2, e: 3}. Give prob of sequence yey.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 6. Let q = b + -27. List the prime factors of 32 + (3 + 1)\/q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**3*t**3 - 19*l**3*t**2 - 7*l**3 + 45206*l*t**3 - 15*t**2 wrt t?\nAnswer: -12*l**3 + 271236*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + sqrt(448) + 1 + -1 + 1)**2*-5)*5.\nAnswer: -11405 + 1200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2075 divided by -55781.\nAnswer: 2075\/55781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 38*q**2 + 77*q**2 - 43*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 28 = -2 + 60. Let l(j) = j**3 - 9*j**2 + 8*j + 6. Let n be l(8). Solve 5*c = -q, -n*m + 5*c = -m - 40 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**2 + 4*p**2 + 10*p**2)*(3 - 6 + 2 + (-4 + 2 + 3)*(0 - 1 - 3)).\nAnswer: -100*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 670 = -19*t, -n - 229755 = -229760 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -72178, -72173, -72136, -72049, -71894, -71653?\n\"Answer: 3*o**3 - 2*o**2 - 10*o - 72169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 21. What is the nearest to -2\/3 in 0, s, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (1\/(10\/34))\/((-17)\/(-170)) and 14?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - (-1 + 5 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.104988ng?\nAnswer: 0.005104988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.051 + -21.051. Let f = a - 18. Let r = f - -39.000148. Round r to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -150*t + 35 - 15 + 151*t + t**2. Give b(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2320088 - -52.\nAnswer: 2320140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + -3*3*(3*sqrt(832)*1*-3)**2*-1).\nAnswer: -606526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*p*u**3 + 15789*p*u**2 - 2*p*u + 2*p + 39*u**3 - 85085*u**2 + u wrt p.\nAnswer: -5*u**3 + 15789*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -25, -16, 49, 200, 467?\nAnswer: 880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22297, 44603, 66913, 89227, 111545, 133867, 156193?\n\"Answer: 2*s**2 + 22300*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242 + 242 + 14*a**2 - 12*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 5*n + 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 6*t**2 - 6*t - 5. Let h be p(-7). Let c be (-65)\/(-3) - 4\/h. Suppose 0*u = -2*r - 3*u + 16, -r + 2*u + c = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 15*r + 17. Suppose -s + 6*s = 70. Is v(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 b, and 1 n when four letters picked without replacement from djxbdjdxpjndxpjdxd?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8542.\nAnswer: 2, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**6\/280 + 3*t**5\/70 - t**4\/56 - 15*t**3\/7 + 1431*t**2. Factor y(j).\nAnswer: 3*(j - 2)*(j + 3)*(j + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 4*h = 924. Suppose 2*n + 5642 = 4*v, h*n - 5645 = -4*v + 76*n. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 5*n + 1. Let d be l(-5). Suppose 3*y - 7 = -d. Suppose 0 = -4*s + y*j + 52, -5*s + 4*j = -30 - 29. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (450\/(-135))\/(-1 - 2\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-45)*270\/40?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssjssjsssjs. What is prob of sequence sjj?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 17, 0.06, -4, -2\/13, -18\/47, 0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 4*m - 4. Let d(u) = 3*u - 3. Let k(y) = -2*y - 26. Let l be k(-11). Calculate l*d(v) + 3*o(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 15. Let i be a(-9). Let u = 1 - i. Calculate the common denominator of 33\/4 and 1604\/280 + (-1)\/u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {i: 1, b: 4, k: 1, a: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1690*b - 44704 + 63294 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 + (1 - -1) - 2. Let v(n) = -n**2 - 51*n - 340. Let h be v(-8). Sort q, h, -9 in ascending order.\nAnswer: -9, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 8. Let s be z(-11). Suppose 0*r = -s*r. Suppose -3*i - 5 - 4 = r. Which is the biggest value? (a) 0.4 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1388 + -164. Suppose -13*b + 3291 = u. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -552\nAnswer: -3864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23017438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101001100110000111 (base 2) to base 3.\nAnswer: 11021012110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 80339, 160672, 240995, 321308, 401611, 481904, 562187?\n\"Answer: -5*b**2 + 80348*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 101*m**5\/10 - 215*m**4\/24 + m**3\/6 + 310*m**2. Find the second derivative of v(r) wrt r.\nAnswer: 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((0 - 1) + 11)*8. Suppose -m + r = 3*m. Solve 0 = -5*b + m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -61, -1\/6 in decreasing order.\nAnswer: -0.09, -1\/6, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-105)\/2)\/21)\/(10\/(-2)). Suppose 0*j + j**3 - a*j**4 + 0 - 1\/2*j**2 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101011 - -1011?\nAnswer: 10110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 62 - -43e?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 + 2*x**3 - 2*x**3 - 12*x**3 - 8*x**3 + (4 + 2*x - 4)*(0*x**2 + 6*x**2 - 4*x**2).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -x + r + 2, 0 = 5*r. Suppose -9 - 13 = -2*o. Suppose -o = -x*a + 37. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*c + 2*j, -4*c + 3*j + 6 = -8. Let d = -14864 + 14872. Solve c*z - 6 = d*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o = -2*k - 44, 34 = 3*o - 4*k. Let y = -11 + o. Let n(g) = g**2 - 7*g + 2. What is the units digit of n(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/1565 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*o - 130 = -3*p, 0 = -2*p - o + 52. Suppose 28*i - 58*i + 228 = -26*i. Let d = i + p. What is d rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -p + 24. Let k be 1 + 3\/p*(-4 + 2). Solve k*l - m = 2*l + 9, -3*l = -m + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3550200 - -2?\nAnswer: -3550176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nanvnxlxnvnnvnnna. Give prob of picking 1 v and 1 a.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzxznzxxn. Give prob of sequence xzzz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(((-18)\/8)\/3). Let u be ((-16)\/6)\/(j\/54). Let k be ((-3)\/2)\/(27\/u). What is the second smallest value in -1, k, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -284370*n**2 - 958925.\nAnswer: -568740*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -168*r**3 + r**2 + 2*r + 1. Let p be s(-1). Let q be ((-2)\/3)\/((-392)\/p). Determine u so that 2\/7 - 6\/7*u - q*u**3 + 6\/7*u**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 34. Let c(q) = -18*q + 3. What is the remainder when 39 is divided by c(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*k**5*n**3 + 10*k**3*n**3 + 427*k*n**3 - 5*k*n wrt k.\nAnswer: 700*k**3*n**3 + 60*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*r + 9 = -2, -2*r + 1 = -v. Let i(d) = -91*d + d**2 + 98*d + 0*d**2 + 3. Determine i(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -12*h**3 + 2*h**2 + 2*h + 2. Let j(q) = -2*q**3 + q**2 + 2*q + 2. Calculate -j(m) + t(m).\nAnswer: -10*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13133, 28271, 45417, 64571, 85733, 108903?\nAnswer: 134081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 17 + (0 - -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 89490 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*f + 44 = 0, -4*s + 32*f - 34*f = -68. Let n be (-3 + 3 + -2)*-27. Suppose i - n = -i. Calculate the highest common divisor of s and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 23441097.6ms?\nAnswer: 0.271309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3751 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 98? (a) 0.1 (b) 5 (c) -2 (d) 17 (e) 0.47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 64, 74, 120, 220, 392, 654, 1024?\n\"Answer: 3*j**3 - 11*j + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -11*b**2 - 48*b + 31. What is j(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -36*n + 40*n + 33 + 96. Let z be f(-31). Solve 9 = 2*c + z*b, 2*b = c - 5*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/((-106)\/(-212)). Let c(n) be the second derivative of 6*n - 1\/120*n**5 + 0*n**2 + 1\/9*n**4 - 4\/9*n**f + 0. Let c(i) = 0. What is i?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/11 (b) -186 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -5*g, -62*g = a - 46*g + 163 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641916.1l in millilitres?\nAnswer: 641916100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7672, -16083, -24494, -32905, -41316, -49727?\n\"Answer: -8411*y + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -801792 divided by -192\nAnswer: 4176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5914 - 5907. Solve 0 = 16*m + t*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10402 - 41444?\nAnswer: -31042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**2 + 2*x - 1. Let m = -235 + 242. What is the lowest common multiple of v(1) and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1684 - -962. Let p = -469 - s. Is 65 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 9, -14, -4 in decreasing order.\nAnswer: 9, 4, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -139, -136, -133, -130, -127?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2109790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 0.5, -1\/3, 4, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(1\/6)*r*r\/(((r\/(r*r\/r**11)*r)\/r)\/r) assuming r is positive.\nAnswer: r**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by 2531362\nAnswer: -73\/2531362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207940 is divided by 5769.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -36 and -19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**2 - 23*g + 18*g + g**3 + 4 - 2*g**3. Let m(a) = a**3 - 3*a**2 - 3*a + 2. Let c be m(4). Is 9 a factor of l(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 91?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 12*u - 12. Let c = -113.94 + 114. What is the biggest value in 4, c, -0.13, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 328965.3ns?\nAnswer: 0.00000009137925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 34 = z, -2*c = -4*z + 142 - 2. Let f be (-16)\/24 + (-2586)\/9. Let t = -264 - f. What is the greatest common factor of t and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.749 to one dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*8\/80)\/((-2)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.358969 millilitres in litres?\nAnswer: 0.005358969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/7))**(1\/35)*(n**(-4\/7))**(24\/5) assuming n is positive.\nAnswer: n**(-667\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86*l*q**2 + 1200*l + 7*q wrt q.\nAnswer: 172*l*q + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 0 + 0 + s**2 + 23*s + 2*s - 21*s. Calculate a(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*(-23)\/(-9867))\/((-2)\/12*1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6e9b7 (base 15) to base 6\nAnswer: -11323101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -239060 divided by 1?\nAnswer: -239060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) -4\/9 (b) 5 (c) 3\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 35*h**2 + 592*h + 85. What is the hundreds digit of s(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 11742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -151*x + 155*x + 12, 2*w - 3*x + 20 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -263742 - 0?\nAnswer: -263742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 + 10)*(15\/(-2))\/(28\/80024). Are z and 21435 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*t + 38*t + 2. Let o(m) be the third derivative of m**5\/60 - m**4\/24 - 36*m**2 - 1. Let h(p) = -p**3 - 2*p**2 + 7*p. Calculate t*h(j) - 2*o(j).\nAnswer: j**3 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 924 divide 4128939938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1229 - -33. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152a (base 11) in base 8?\nAnswer: -3660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*m + 185*m - 277*m + 286*m.\nAnswer: 303*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, o: 5}. What is prob of sequence oodd?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 1, r: 5, q: 1, h: 1, l: 3}. Give prob of sequence boq.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/39 - -1\/39. Is -1 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51746953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77010\/3672 - 12\/(-432)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -4*r - 36, 9*r + 1884 = 5*r + 86*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**0*p\/p**(1\/11)*(p*p*p**(3\/7))**(1\/21) assuming p is positive.\nAnswer: p**(3274\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, -48, -284, -728, -1446, -2504, -3968?\nAnswer: -5904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**2\/2 + 145. Let o(v) be the first derivative of 9*v**3 + 5 - 13*v + 13*v. What is o(q(s))?\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 150012, 300723, 451434?\n\"Answer: 150711*d - 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6964 and -51\/20.\nAnswer: 34820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 15, i: 3}. Give prob of picking 2 s.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17949.222 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.34 - 0.04. Let f = -10 + 15. Sort n, 3, f in decreasing order.\nAnswer: f, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*v = -340, 0 = -2*t + 22*v - 20*v + 152. Suppose 0 = -67*p + t*p - 11084. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 10*b**2 + 6*b - 21. Let q = -42 + 169. Let l = 118 - q. Give x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 63639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 - j**2 - 3*j**2)*(0 + 0 - 2*j) - 2*j**3 + 2*j**3 - j**3 - 2808*j + 2808*j - 61*j**3.\nAnswer: -66*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 144021.45 minutes in hours?\nAnswer: 2400.3575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000012002 (base 3) to base 2.\nAnswer: 111001101100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 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 the nearest to -6 in -4, -1, 0.1, -626, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**2 - 7*r**2 - 10*r**2 - 4*r**2. Let i(v) be the first derivative of -v**2 + 19. Calculate c(i(m)).\nAnswer: -64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 26. Let m be ((-48)\/(-30))\/((-2)\/s). Let q = 52 + m. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*s + 28, -9*q + 3*s + 32 = -6*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 81096, 160511, 239926, 319341?\n\"Answer: 79415*c + 1681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 114, 230, 346, 462, 578, 694?\n\"Answer: 116*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x - 72 = 0. Let h(r) = 63*r - 56. Let o be h(1). Let s = o - x. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -b + 9, 2*b + 5*y = 10 + 32 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 0*m + 0*m + m + 4 + 0*m. Let a(i) = -2*i - 5. Let s be a(-6). Is l(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27 - -35) + -7 + -7 + -6 + (15 - 0)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10243, -20501, -30759, -41017, -51275, -61533?\nAnswer: -71791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) -0.6 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3876 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/26145 and -109\/63080.\nAnswer: 3974040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 + 0 = 0. Let y be (1 + 0)\/4*(53 + -45). Suppose r*f - y*f = 34. Calculate the remainder when 67 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 479888.2km?\nAnswer: 479888200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 + 7*q**4 + 8549*q**3 - 347189*q**2 wrt q?\nAnswer: -120*q**2 + 168*q + 51294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/45 and 155\/3433386?\nAnswer: 51500790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2, 5, -2\/155, 5\/4?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.122627 years in months?\nAnswer: 61.471524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1126098101, 1126098099, 1126098097, 1126098095, 1126098093, 1126098091?\nAnswer: 1126098089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2. Let s(y) = -11*y**2 - 3*y - 45. Let b(q) = 2*q**2 - q - 1. Let h(n) = 2*b(n) - s(n). Let p(w) be the first derivative of h(w). Give r(p(l)).\nAnswer: 3600*l**2 + 240*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -13*o**2 - 4. Let x be n(-2). Let l = x + 60. Find the third derivative of 21*a**5 + 4*a**5 - l*a**5 - 31*a**2 wrt a.\nAnswer: 1260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nineteen quarters of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/4)*r*r**(-1\/2)*r\/r**(2\/15)*r**(-2)*(r**(-3)*r*(r*r\/r**5)\/r)\/((r\/(r**7\/r))\/r*r**3) assuming r is positive.\nAnswer: r**(-263\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5*g)\/(g\/((g\/(g*(g\/(g\/(g*g*g**(-1)\/g*g*g*g)))\/g))\/g)))\/((g*g**(2\/7))\/g)**(-1\/5) assuming g is positive.\nAnswer: g**(72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 1, y: 2, x: 1, e: 1, d: 1}. Give prob of sequence ey.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.4, -5, -0.006, -0.05, 0.1 in ascending order.\nAnswer: -5, -2.4, -0.05, -0.006, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*f + 3*f**2 - f**2 + 1299*f.\nAnswer: 2*f**2 + 1443*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-440)\/(-4080)*-6*-51?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 136631320*p + 4667029401235600.\nAnswer: (p - 68315660)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {y: 15, t: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 3, b: 4, q: 1, t: 6}. Give prob of sequence bxq.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1678 + -1678.3. Put -0.9, t, 16 in descending order.\nAnswer: 16, t, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - v - 1. Let o be t(-2). Find the second derivative of -4*y - 4*y**5 + o*y - 3*y wrt y.\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -35. What is the highest common factor of 147 and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -141 or -142?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -8 + 1\/4*o**4 - 1\/6*o**3 + 1\/120*o**6 + 0*o - 1\/12*o**5 + 1\/2*o**2. Let h(r) be the second derivative of v(r). Give h(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (21 + -6 + -19 + 27).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 + -132. What is the nearest to -4 in -0.1, 4, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q + 4. Let c(g) = 81 - 25 - 25 - 30. Give -4*c(z) + y(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)*x*x*x**28*x)**9 assuming x is positive.\nAnswer: x**(1935\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.05 + -0.05. Let d = 0.822 - 1.222. Let r = 0.35 - 0.05. Put r, d, z in decreasing order.\nAnswer: z, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 18658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 210\/66 + (-4)\/22. Is p\/(-12) + 98\/8 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 13*p**2 - 10*p - 13. Let q = 480 - 473. Let k(c) = c**3 + 4*c**2 + 3*c + 4. Let b(o) = q*k(o) + 2*y(o). Give b(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(4650\/40)*(-181)\/(-2172)\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2 - 8 = 5*r, 5*r - 3*z - 25 = 0. Suppose 2*h - 10 = h. What is the remainder when (-21)\/r*(-48)\/18 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6890447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 80, -12276\/13, 30?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3120 - -5958. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 7*h + 12. Let d(s) = -8*s**3 + 31 + 27*s - 24*s - 14*s**2 + 9*s**3. What is the remainder when d(14) is divided by q(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42672 is divided by 191?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**3\/6 + 2*v. Let c(m) = -6*m**2 + 1482 - 1482. Calculate g(c(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 6, p: 12}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -bb578 (base 12) to base 14\nAnswer: -664c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = -0. Let u = -66 + 118. Let p = u - 50. Which is the second biggest value? (a) q (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**6\/120 + a**5\/20 - a**4\/12 + a**3\/2 - 2*a**2 + 3*a. Give l(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 11 = 5*u, 9 = 5*k - 2*k - 3*u. Suppose k*o = -0*o + 16. Calculate the smallest common multiple of 6 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(242) + -1) - -2*sqrt(242)*6) + 1 + 2*(sqrt(2) - sqrt(18)\/(2*sqrt(9))))**2.\nAnswer: 800*sqrt(2) + 20016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w. Let g be x(-2). Suppose 0*p - g = -4*p. Solve -2*r + 3*z = p, r + z = 3*r + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1696632\nAnswer: -1\/424158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/6*(-6 - -3) - (-2 - -4). Which is the nearest to -1? (a) j (b) -1\/188 (c) -1\/4 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -245 + 268. Suppose 11*s - 510 = -d*s. Solve -20*w + s*w - 10 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16640 - -182998\/11. Calculate the common denominator of -121\/156 and v.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108198447 and 354417.\nAnswer: 757389129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*h + 41 = -112*h + 3*m, 3*h - 25 = -2*m for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k - 47. Let i be p(-15). Let b = -91 - i. Let l be ((-1)\/4)\/(b*(-4)\/112). Solve u + 3*q = -11, 3*u + q = l*u + 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24*8\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*k - 9*k + 11*k)*(2*k**2 + 2*k - 2*k) - 77*k**3 - 11*k**3 - 73*k**3.\nAnswer: -205*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1836*k + 560 = 1892*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(6\/17)*z\/(z*z**26*z) assuming z is positive.\nAnswer: z**(-453\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1654097 is divided by 127173.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*a - 3*f, f - 102 = -5*a + 2*f. Let k = a + -5. Calculate the remainder when 30 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**2 - 35*i + 16. What is x(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(1100) + -1)*-5 - sqrt(1100)) + (-6*(sqrt(1100) + 0) - sqrt(1100))))**2.\nAnswer: -46800*sqrt(11) + 6693300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 6 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 3\/23 (b) 2 (c) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*y**2 - 13*y**2 - 12*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 686093, 686092, 686091, 686090?\nAnswer: 686089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + 4) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -84, -76, -56, -18, 44?\n\"Answer: p**3 + p - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 51 = 7*o, 102*d - 98*d = -o - 3 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 54. Suppose 0*q + l*q = 10. Factor 9*z**4 + 6*z**2 + 5*z**2 - 8*z**q - 3*z**5 - 9*z**3.\nAnswer: -3*z**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126297?\nAnswer: 3, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -5. Let p = c - 7. Put p, 1\/5, -5 in ascending order.\nAnswer: -5, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 54*s**2 + 2*s + 5. Let a(n) = -n**2 - 1. Give 4*a(p) + z(p).\nAnswer: 50*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*l - 490, h + 3*h - 1980 = -2*l. List the prime factors of h.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 1:07 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24092.55 or 37?\nAnswer: -24092.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-87)\/(-6))\/((-9)\/(-54)). Is (-1)\/((-8536)\/(-25626) + (-29)\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -0.8424729748396?\nAnswer: 1.0424729748396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-5)\/(-3))\/(2\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**5\/4 - 5*k**4\/3 + 10*k**3\/3 + 6*k. Determine f so that u(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -1. Let n = 1 + y. Solve 2 = -c + a, n = -4*c - 2*a + 4*a - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 16, 28, 34, 28, 4?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 209459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1462)\/(-680) - (-48)\/(-20). Which is the nearest to -1\/8? (a) 3 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.453 times -291.261\nAnswer: 131.941233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a tonne in kilograms?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 1, k: 1, c: 2, n: 2, q: 4}. What is prob of picking 1 q and 1 c?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2496428?\nAnswer: 2, 11, 56737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-1\/3)*b)\/b)\/b*b)\/b*b**(1\/2)*b**4\/b*b*((b**(-2\/21)*b)\/b)\/b*b)\/((b\/(b\/(b*b\/b**(-2\/5))))**(-16\/3)*b*b**(3\/4)*b**(-4\/5)) assuming b is positive.\nAnswer: b**(2229\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -8.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5, -4*h + 99 + 48 = -3*v. Calculate the highest common factor of h and 2040.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537, -499, -461, -423, -385, -347?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -3*b**2\/2 - 6*b - 4. Suppose o + 5 = 11. Let f(q) be the third derivative of q**3\/6 + 47*q**2. Calculate o*f(c) + n(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -1\/10*t**5 + 2*t**2 + 0*t**3 + 0 + 0*t - 1\/40*t**6 - 1\/8*t**4. Determine d so that a(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10283.366092 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2052 + 133. Let l = d + -248. Is 27 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 34. Suppose w + 10 = m. Let g(d) = -37*d - 6. List the prime factors of g(w).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426783889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/3 (c) -427 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4533208*j + 8076568 wrt j?\nAnswer: 4533208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91 * 4.\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31076?\nAnswer: 2, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-6)\/(-9) + -1). Suppose y + y + 5*r = 29, 2*y = -r + v. Find the second derivative of 4*u**2 - 2*u**2 - y*u + u wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/8*(-4)\/6. Let i(r) = 2*r**3 + 6*r**2. Let j(f) = f**3 + 5*f**2. Let x be ((-14)\/6 - -1)\/(8\/36). Calculate p*i(v) + x*j(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000197 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 - 175*d + 964 wrt d.\nAnswer: 8*d**3 - 175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f = -34*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 194\/(-1067) - ((-5)\/(-154) - (0 + 0))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 less than -4284\/199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9064.45 rounded to the nearest one hundred?\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 7*x. Calculate v(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 + 4 = 0. Let r be (-8)\/12*j\/(-2). Let l be (-6)\/5*(-2)\/4. Which is the nearest to 0.1? (a) 4\/3 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = -12000075. Suppose 0 = 4*k + 3*i - c, -k - i = 4*i - 600025. Round k to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from fxvxf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3.9, -49.\nAnswer: -49, -5, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1114 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238091 = 3208*z + 60825 - 60126 for z.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 4*z**2 - 18*z + 4. Calculate x(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -510 - 636*g**2 + 2338 - 439*g**2 + 56 wrt g.\nAnswer: -2150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111634.\nAnswer: 2, 55817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sljjlwwjsdjjssjjw. Give prob of sequence lwld.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + 2497*r + 17561. What is w(-7)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, -16, -72, -184, -370?\n\"Answer: -3*v**3 - v**2 + 6*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -253 - -56. Let y = a + 211. Suppose -3*x + 9 = -6. Solve y = -x*m - 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 7) to base 10\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -0.898.\nAnswer: 4.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 117459469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*b - 6*b. Suppose 44*h = -20*h + 8*h - 784. Sort h, 0, b in descending order.\nAnswer: 0, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-189) - 35\/(-135). Which is the third smallest value? (a) 56 (b) -2\/13 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10539*g - 1046 = -10800*g + 6001 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -162*l**2 + 75*l**2 + 86*l**2. Let m(q) = -359*q**2. Give z(m(t)).\nAnswer: -128881*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 575 = -3*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2128*m + 115. Let o be x(-8). Suppose -8*q = -37*q + o. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90129 is divided by 476?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -531*i**2 + 651*i wrt i?\nAnswer: -1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3 - 1. Let f be (3\/(30\/(-8)))\/(26\/(-65)). Is f + a + (4 - -50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87035.\nAnswer: 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(-5))\/t)\/t)\/t)**(23\/2) assuming t is positive.\nAnswer: t**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 32*l. Let x(q) = -4*q**2 - 6*q - 141. Let p(n) = n**2 + n + 13. Let w(o) = 6*p(o) + x(o). What is t(w(r))?\nAnswer: 64*r**2 - 2016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1362, 1043, 724, 405?\n\"Answer: -319*j + 1681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 34*g - 14. Let c(k) = -7*k + 3. Let s(h) = 11*c(h) + 2*m(h). Find the first derivative of s(d) wrt d.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 46. Let v = -185\/3 - -61. Let y = 1273 - 1208. What is the closest to v in y, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 32. Give s(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 447*w - 49899. What is r(-217)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*b + 38395, -4*d + 9*d - 4*b - 63996 = 0. Round d to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203774 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/19? (a) -3\/2 (b) -53\/2 (c) -0.3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q = -45 - 27 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4241 (base 5) to base 13.\nAnswer: 34c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:26 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/3, -2\/5 in decreasing order.\nAnswer: 0.4, -2\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1480, -2972, -4460, -5944?\n\"Answer: 2*p**2 - 1498*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 31. Suppose -i*t + 49 = -6. Let w(p) = 5*p**3 + 21*p + 11. Let h = -9 - -7. Let x(d) = d**3 + 4*d + 2. Determine h*w(k) + t*x(k).\nAnswer: k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28 + 0)*(-38)\/133. Let n(l) = l**2 - 11*l + 2. What is n(y)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -4914433.\nAnswer: -4\/4914433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 2. Let o(a) = a. Suppose 0 = 2*k + 2*k. Let y be o(k). Let c be p(y). Solve c*h = -4*i - h + 16, 0 = -5*i - 4*h + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5 - 5*a**2 - a**2 - 3*a - 8. Let h(u) = 35*u**2 + 17 - 6*u + 16*u + 7*u. Determine -6*h(v) - 34*l(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5016, -21007, -47796, -85377, -133744, -192891, -262812?\nAnswer: -343501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from civvvix. What is prob of picking 1 i and 3 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117468.\nAnswer: 2, 3, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12121 + 11663?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -135419863 and -6980325.\nAnswer: -142400188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*c - 8622*c**3 + 56*c.\nAnswer: -8622*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 1047\/7, 3\/5.\nAnswer: -0.09, 3\/5, 1047\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 655 - 7 = 0. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**7\/840 + w**4\/12 + 5*w**2. Let k(c) be the second derivative of m(c). Let p(y) = -4*y. Calculate p(k(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/2 - 36*a**2.\nAnswer: -3*a**2*(a + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + l = -262, 10*n - 9*n + 3*l - 254 = 0. Let g = n + -6. Calculate the remainder when g is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:50 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 3*o**2 + 7*o + 8 + 2*o**2. Calculate the least common multiple of s(6) and -1*(-112)\/(-24)*48\/(-56).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 688687094260.\nAnswer: 688687094259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1121 (base 8) to base 4\nAnswer: 21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213 and 48454092.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 - 5298*l**3 + 762144*l**2 - 26384544*l.\nAnswer: -3*l*(l - 68)**2*(l + 1902)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:18 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j - 55*j + 75 = 0. Let t be 4*((-2)\/4 - -1). Suppose -t*i - 1650 = -j*i. What is i rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -328 - -173 - (-10 + -2)?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229427393.\nAnswer: 13, 17, 73, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p + 85 = 0. Calculate the remainder when p is divided by (-1 - 8)\/(3\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 11. What is z(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178435369?\nAnswer: 7, 2347, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssssysssyssssssy?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 + 1 - 1)*(1 - 3 + 12) - 6*i**2 + 2*i**2 + 2*i**2 in the form p*i + l + y*i**2 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 64 = a. Let b be a\/(-10) - 4\/10. Suppose 9*d = d + 24. Solve -3*v + 3 - b = d*w, 0 = w - 2*v + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*v = 14. Suppose 3*a - 2*r = a - v, 4*a + 5*r = 23. Find the third derivative of 12*y**5 + 13*y**5 - 4*y**2 - a*y**2 - 33*y**5 wrt y.\nAnswer: -480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 124, 206, 332, 508, 740, 1034?\nAnswer: 1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 41*b**2 + 3 + 0 + 10*b + 3 - 2. Let a(f) = f**2 - 1. Let n(t) = 4*a(t) + s(t). Factor n(k).\nAnswer: 5*k*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 + 3*j**2 - 1614904462 + 1614904462.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7654, -30380, -68204, -121126, -189146, -272264?\nAnswer: -370480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 - k + 1. What is a(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000406 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(345\/(-20))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/2, 0.2, -10457, 0.5, -3\/4, 6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = -0*k. Factor q**2 + q**3 - 2*q**2 + 0*q**k.\nAnswer: q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*j**2 + 266*j**2 + 172*j**2 + 64*j**2.\nAnswer: 960*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 72*x - 308108. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -z + 2. Let t = z + -9. Put 5, t, 3 in descending order.\nAnswer: 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(3\/10)\/b))\/b)**(37\/2))**(-48) assuming b is positive.\nAnswer: b**(-3108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -262*r**5\/5 + 2*r**2 + 4343*r - 121. Differentiate t(o) wrt o.\nAnswer: -1048*o**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305727 and 303?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 13*x + 19. Suppose 56 = 42*i - 38*i - 5*b, 2*i - b - 28 = 0. What is u(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.021677 hours in seconds?\nAnswer: 14478.0372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/21 + (-28)\/(-49))*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (266\/209)\/((-1771)\/(-66792)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1085, -1058, -1031, -1004, -977?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/3))**(-22\/7)*(o*o**(-6))\/o*o**0*o assuming o is positive.\nAnswer: o**(-193\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 372 and 28.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 less than -989?\nAnswer: -989.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 - 12*i - 276 - 89 + 2*i**2 + 16*i + 46 to the form r*i**3 + l*i + v*i**2 + z and give z.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1509450 and 1044?\nAnswer: 9056700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, 5, -2\/11, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-3\/5)*y*(y**(-2)\/y)\/y*y*((y*y\/y**(-2\/11)*y)\/y)\/y*y*y**(-2\/7) assuming y is positive.\nAnswer: y**(114\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 10 + 31. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 r, and 1 n when three letters picked without replacement from {b: 2, n: 3, w: 4, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -217.11 - -218. Let j = m - -0.11. Let r = -1.056 + j. Round r to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 4*z + 12, 0*t - 2*t + 3*z - 7 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 4 - 4 + (3 - 3 + 2*v)*(-v - 3*v + 7*v) - 2*v**2 + 239*v + 3*v**2 - 201*v)*(0 - 8 + 3).\nAnswer: -40*v**2 - 190*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163447691 is divided by 7194?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = z - 1, 2*z + 4*f = -57 + 65 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*k - k - 5, k = -3*x - 11. Let h be 8 + (-1)\/k*2. Suppose 2*p**3 - h*p**3 + 9*p**3 = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 7*w - 11*w. Suppose w*b - 15*b + 55 = 0. Solve 0 = -3*y - 3*x + 25 - 7, -y = b*x - 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -15*c + 30*c. Calculate the highest common divisor of c and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**13*u*u*u))\/(u**(-7)\/u))\/(u**(-26)\/u*u**10\/u) assuming u is positive.\nAnswer: u**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-6 + 2) - 1. Suppose -3*m + 2*m + 386 = b. Suppose 3*p + 2*h = -m, -137 = 2*p - 5*h + 133. What is p rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 691, 695, 701, 709, 719, 731?\n\"Answer: z**2 + z + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from xixxkxxjxxxzjzzxx?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3051330748?\nAnswer: 2, 17, 44872511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -f + 2328, -2*g - 7000 = -6*f + 3*f. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 7:59 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10276595 - -10276595.04239399. Let t = -72.0424 - -72. Let y = p + t. Round y to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*h - 4, 0*z - z + 6 = 5*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-19)\/y**(-3))\/(y**1*y*(y*y**(-2\/27))\/y*y) assuming y is positive.\nAnswer: y**(-511\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -74 * 867466\nAnswer: -64192484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3 - 1 - 3*x - 4 + 4. Let f(b) = 39*b**3 + b**2 + b - 1. Calculate the remainder when f(1) is divided by d(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -17, 0, 5 in increasing order.\nAnswer: -17, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*b = 0, 2*b = -w + 5*b. Suppose w = -0*k + 3*k - 3. Let a(y) = 17*y**2. What is the remainder when 50 is divided by a(k)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-6 - (-5 - -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68530 is divided by 62.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -841 + 521. What is the tens digit of ((-1317)\/(-5))\/((-48)\/c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 + 196*f**2 - 1376*f - 25600 = 0. What is f?\nAnswer: -8, 25, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000782935399 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 1285713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1377)\/(-1530)*30\/21?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -536, -1102, -1708, -2354, -3040, -3766, -4532?\n\"Answer: -20*k**2 - 506*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 1431 - 1431.1. What is the third biggest value in -4, c, 1\/406?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 2. Let n(p) = -5*p + 11. Let i(d) = -22*l(d) + 4*n(d). Let s(z) = -30*z**2. Give i(s(w)).\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 4*o - 4*n - 375, 5*o - 5*n = 625. Is 125 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/54))\/u*u*u**(-7)*u\/(u\/(u\/(u**(-4)\/u)*u)*u)*u\/u**32 assuming u is positive.\nAnswer: u**(-1675\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from zvzfvvz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6576 - -6590. Let l(y) = -79*y + 1. Let d be l(-3). Calculate the highest common divisor of d and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, 30, -7 in descending order.\nAnswer: 147, 30, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 392675581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6352*14.1.\nAnswer: -37.15632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(0 - 2 - 1). Suppose 2*w = g*w - 1. Let p = -223\/4 + 56. Is p bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrrw when four letters picked without replacement from wrtrvtz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2 = -2*p. Which is the closest to p? (a) 3 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (sqrt(1900)*1 + -4 - sqrt(1900)))**2 + 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 4*a + 6. Let o be r(-2). Suppose 3*p = -3*n + 18315, -3*p + 13724 = o*n + 1509. Round n to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 3*l - 19*l**2 - l.\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 209591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 51*l + 116. Let d be r(3). Find the third derivative of 146*u**2 - d*u**5 + 269*u**5 - 49*u**6 + 125*u - 125*u wrt u.\nAnswer: -5880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -7. Let x be (2 + w)\/(6\/4). Suppose -n - n - x = 2*j, 6 = -3*j. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5891\/13 - -453. Put -3\/4, 3\/8, x in descending order.\nAnswer: 3\/8, x, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/1097 in -0.4, -0.2, -13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4*(-2 + 4). Let z = -4 - f. Let h = 4.63 - 4.63. Sort z, h, 0.15 in decreasing order.\nAnswer: 0.15, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3 = t. Let r(c) = 4*c**2 - t*c**2 + 0 + 0. Let k(o) = 6*o**2. Calculate k(r(a)).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 6*q**2 + 2. Let i be x(6). Suppose i = 2*m - m. Solve 2*c - 4 = -2*s, 3*s + m*s + 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2566995 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29388.575 and 0.52.\nAnswer: 29389.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 1. Let x(h) = 8*h + 9. Calculate -18*r(b) - 2*x(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 3*k**2 - 2*k**2)*(5*k**2 + k**2 + k**2) + (4*k**3 - 4*k**3 - k**3)*(4 - 4 + k).\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c - 2204. Let q(r) = r. What is b(q(m))?\nAnswer: -7*m - 2204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -68*h + 60*h. Put -2, -63, h, -3 in increasing order.\nAnswer: -63, h, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*w + 2221 + 2972 + 3707. Solve -76 = 8*s - w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 4:26 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/((x\/x**(-1\/7))\/x)*x)\/x)\/(x*x**(-1\/9)))\/(x**(-2\/9)\/x**(-5\/3)) assuming x is positive.\nAnswer: x**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842724*f**3 - 7503732*f**2 + 725120*f - 17424 = 0 for f.\nAnswer: -9, 22\/459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38622 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*((-80)\/12)\/5)\/((-338)\/(-39)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415 is divided by 272?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 1\/114, -5 in descending order.\nAnswer: 1\/114, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4870 + 4870.6442. Let s = -0.0558 - l. What is the third smallest value in -3\/2, -3, s, -3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 199*p**3\/6 - 17*p**2 - 60*p + 2. What is the derivative of t(n) wrt n?\nAnswer: 199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2242 + 2241 - (-18 + (2 - 1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 580101511 a multiple of 6024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 20*h - 456. Determine w(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 2*z. Calculate r(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1960 and 11564.\nAnswer: 115640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) - 69\/(-9). Let o = -858 + 907. What is the highest common divisor of k and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 496828 and 290?\nAnswer: 2484140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858725334 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 60*m**2 - 42*m. Let x(w) = -15*w + w**2 + 26*w + 6*w**2 - 16*w. Let v(s) = 5*a(s) - 42*x(s). Let p(c) = -2*c**2. Calculate v(p(f)).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 11. Suppose 13 = -k*c - 5*l, c - 1 = -3*l + 1. Let x = 0 - c. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 1\/2*y**4 + 62 + 6*y + 2*y**5 - 1\/2*y**6 + 1\/2*y**2 - 16\/3*y**3. Solve v(t) = 0 for t.\nAnswer: -1, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6866.974 millennia in months?\nAnswer: 82403688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -5, -9.\nAnswer: -9, -5, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*h + 765*h - 165*h.\nAnswer: 796*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 507184000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 21*a + 20*a + 21*a + 4*a - 69*a. Let v(b) = -878*b. What is v(h(o))?\nAnswer: 2634*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.90401287 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0 + 10 = 0. Let b be (0 + 1)*(v + -2). Let r(m) = -2 + b - 2*m + m. What is r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 10:13 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 + -111110010011001?\nAnswer: -111110010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 90 - 89 + 5*i + 7*i**2 + 2*i + 2*i**4 as u*i**2 + w*i**4 + p*i + x*i**3 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -12 - (17 + -2) - 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (38*(-86)\/(-5719))\/(38\/21)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 229*i**2 - 390*i - 16854. Determine q(231).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 155.899 * -10\nAnswer: -1558.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-89649)\/44823 - (1 - 3))*7. Let l = n - -221754385\/134469. Let i = l - 1651. What is the common denominator of i and 41\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/(6020\/(-72)))\/(6\/(-15)). Let r = 2509514 + -215815341\/86. Let x = r - b. Calculate the common denominator of x and 125\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*k - 93*k - 19816 = 5*m, 4*k + 11888 = -3*m. Which is smaller: m or -15859\/4?\nAnswer: -15859\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010101 - 1011?\nAnswer: -101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/18*(-405)\/(-75)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 12. Let g be (-3)\/6 - (-3)\/z. Let f = 823\/30 - 55\/2. Which is smaller: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18833, -37755, -56691, -75647, -94629, -113643, -132695?\n\"Answer: -g**3 - g**2 - 18912*g + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1583*l - 1928*l + 4242 = -1052*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 bigger than -229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093 times 2629?\nAnswer: -244.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/19 - 4854*i\/19.\nAnswer: 2*i*(i - 2427)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200059 is divided by 24999?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/808073 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*s - 2. Let p(f) = 4*f**2 + 3*f - 2. Let o(k) = -5*k**2 - 3*k + 3. Let x(w) = -3*o(w) - 4*p(w). What is x(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-20)*40\/160*31\/(18879\/12).\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879354950.\nAnswer: 2, 5, 37, 475327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 35?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 863568172 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716105123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 50917165 and -4.\nAnswer: 50917161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*f + 92*f - 4122 = 2716 - 118 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 557653 or 3345917\/6?\nAnswer: 3345917\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let f(z) = z. Let s(q) = 5*f(q) + 2*n(q). Let u(b) = -4*b**2. What is u(s(d))?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b + 1. Let h be y(10). What is the greatest common factor of 294 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -561 + 5?\nAnswer: -55b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14 - 0.1. Let y = r - 0.64. Which is the second smallest value? (a) 0.1 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 30. Let r be (-1)\/(1 - (-4)\/i). Let p be 0*r\/(-1) - -133. What is the highest common factor of p and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 144, -0.07, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnnqnqqnnn. What is prob of picking 2 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhhrhhfrhhhfffhfr. What is prob of sequence fhrf?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 11) + 17 + -11 - (-4 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**2 + 136643237*p - 86147700.\nAnswer: 4*p + 136643237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 2*i - 4*i + (-i + 2*i + i)*(2 + 4 - 4) - 2*i + 3*i + i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - (3 + -5)) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -98290.817 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/28)\/(72\/7980). Which is greater: p or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, e: 4, p: 3, a: 2, k: 6}. Give prob of picking 2 p and 1 e.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100111220 (base 3) to base 2.\nAnswer: -1011010011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in hours?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 0, -6*p = -2*c - 3*p + 26. Let y = -9 + c. Find the first derivative of -5*h**4 + 12*h**4 - 3 - y wrt h.\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 3608064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {o: 6, v: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3788.99761 rounded to the nearest one hundred?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044991?\nAnswer: 37, 61, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.251 less than or equal to 5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9547.481 litres in millilitres?\nAnswer: 9547481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -41*k**4\/6 - 4*k**3\/3 + k**2 + 2*k - 66. Find the second derivative of q(l) wrt l.\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4907 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211 - -220. Which is the fourth biggest value? (a) 3 (b) -2 (c) 0 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 2:09 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 6, 4, -8, -36?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1518.6 - 3855.3. Let g = -2232 - z. Let y = g + -111. What is y rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1171, -1223, -1277, -1333, -1391, -1451?\nAnswer: -1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 13*l**2 + 6*l - 2. Let u(w) = -12*w**2 - 5*w + 1. Let i(h) = h**3 - 5*h**2 - 102*h - 32. Let o be i(13). Determine o*u(r) - 5*k(r).\nAnswer: 7*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2481382128 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 58077.88 take away 46551560?\nAnswer: -46493482.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 - 2 = 0. Let p(c) = 0*c**2 - 829*c + 0*c**2 + 828*c + 2*c**2. What is p(w)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 4*m + 1. Let r be x(-3). Solve 5*s - 3*y = 5, 3*y + y = r*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*t**2 + 114747*t - 114747*t.\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5346 + -32213\/6. Calculate the common denominator of i and 7\/338.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 177952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szwz when four letters picked without replacement from {m: 1, d: 1, i: 5, s: 1, z: 1, w: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1)\/((-4)\/(-52)). Let w = u + 8. Let i(t) = -t**3 - 7*t**2 - t + 4. Let b be i(w). Round b to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w. Suppose -v = -w + 1. Is (-1 - v) + 1*121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -401 - -401.3. Which is the fourth smallest value? (a) m (b) 0.5 (c) 0 (d) 24\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 + 32178*g + 25526780\/3.\nAnswer: -2*(g - 48530)*(g + 263)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41017\/3810 + 25\/381. Let l = -8021 - -256639\/32. Let j = l + 949\/160. Find the common denominator of j and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4126829492 from 142.\nAnswer: -4126829350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6276510 and 4393557.\nAnswer: 43935570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -356 + 356.000211. What is v rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65377, 65375, 65353, 65299, 65201?\n\"Answer: -2*r**3 + 2*r**2 + 6*r + 65371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.289412 nanometers?\nAnswer: 0.000000005289412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/4630793 and -35\/5931.\nAnswer: 41677137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2983, -2989, -2995, -3001?\nAnswer: -3007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 + 6*x - 4. Let c(h) = h**3 - 4*h**2 + 7*h - 5. Suppose -18*t + 12*t + 24 = 0. Calculate t*c(d) - 5*p(d).\nAnswer: 4*d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + ((4 + (2*sqrt(3888) + -5 - (sqrt(3888)*-2 + 5 + sqrt(3888))))*-2)**2.\nAnswer: -5184*sqrt(3) + 140107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*8\/(8\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 276, 414, 552?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 16*z**2 - 76*z - 9. What is the least common multiple of 60 and y(-9)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1 - 16 = 0. Let m = 0 - -5. Let b = j + m. Solve 2*l = 2 - b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - 3.1. Let p = 0.01445 + -5.01445. Which is the biggest value? (a) p (b) -6 (c) 1\/3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b**3 - 5*b**3 + b**3 - 10*b**3.\nAnswer: -29*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t + 688 = -3*t. Calculate the remainder when 2\/(-4 - 306\/(-76)) is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-188)\/(-329))\/(-2 - 176\/(-28)). Let g(z) be the first derivative of 3\/5*z**2 + 8\/5*z - 2 - b*z**3. Suppose g(h) = 0. What is h?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158094037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4239430 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4 + 2. Suppose -4 = p - m*p. Suppose 194 = p*h + 40. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-1 - 9\/(-3)). List the prime factors of 4\/z + 6\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29230982*l - 8510177 wrt l.\nAnswer: 29230982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 93206.\nAnswer: 18641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3262 and 256300?\nAnswer: 1794100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/9)\/(8\/(-1236)). Let s = -104 - q. Let c(l) = -65*l + 1. Let z be c(s). Calculate the greatest common factor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 + 0 - 4)*(0*o + o + o) - o + 0*o + 2*o)*(5 - 5 + 6) - 38*o + 4 + 16*o + 26*o to z + l*o and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 1310*d**2 + 2617*d + 1308.\nAnswer: (d + 1)**2*(d + 1308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/2 (b) -4\/23 (c) -1 (d) -746\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -65\/22 (b) -1\/7 (c) 14405\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -5*z. Suppose -2*i = -4*f - 56, -z*i + 156 = 5*f - 2*f. Suppose -v = 4*b - 0*v - 72, 0 = -2*b + 3*v + i. Is 17 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2502*y - 4190*y - 607*y - 483*y to the form g + n*y and give n.\nAnswer: -7782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.311586 to two dps.\nAnswer: 7.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*2\/16 + 36\/16. Let o(w) = -47*w - 1. Let m be o(-7). Suppose -m = -l*a - a. Does 30 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3))**(-12\/11)*(x*x**(-3\/2))\/(x\/x**(-14)) assuming x is positive.\nAnswer: x**(-333\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 (base 7) in base 3?\nAnswer: 11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from ccvcvvvfvovfofc.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 11. Let y be d(8). Let t be (y + 2)\/((-3)\/15). Suppose -4*v + 6*v = 2*l - 6, -2*l = -t*v. Solve 0 = n - 5*o - 9, -5*n + 3 = -v*o - 2*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204 - -228) + 13 + (3 - 3) + 8.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**4\/4 + s**3\/6 + 7*s**2\/2 + 20*s + 2. Let l(g) = 16*g**2 - 4*g - 36. Let t(c) = -2*l(c) - 11*x(c). Determine t(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.17165 + -0.173. Round z to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*58*(-296)\/(-592).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1671*l**2 - 1216*l**2 + 3*l**3 + 1423*l**2.\nAnswer: 3*l**2*(l - 488)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppejjjejeeb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -1454033?\nAnswer: 1454025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/r**(17\/4))))\/(r\/(r**(2\/31)*r)*r)*r\/(r*r**(-10))*r*r*r**(-2\/23)*r*r assuming r is positive.\nAnswer: r**(27743\/2852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6aad (base 14) in base 8?\nAnswer: 44221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) - 376\/(-40). Let d = i - 14. Let w(t) = -t**2 - 6*t - 3. What is w(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrn when three letters picked without replacement from {m: 1, r: 3, y: 1, n: 2, f: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-170)\/(-10) - 6 - 29.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 220 + 0*d - d**2 + 4*d - 107 - 111. Let v(b) = -b**2 + 3*b + 1. Determine -6*v(s) + 5*w(s).\nAnswer: s**2 + 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, z: 4, m: 4, g: 6}. What is prob of picking 3 g and 1 m?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1 - 2 - l**3 + 0 - 4*l**2 + 5 + 3*l. Calculate v(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 132 = -652. Round q to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44, -74, -104, -134?\n\"Answer: -30*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*j - 3*l, 0*j + 13 = 2*j - 5*l. Let p = -15 + j. Let x(r) = r**2 - 4*r + 5. Let i(t) = 2*t**2 - 4*t + 4. Let a(b) = 2*i(b) - 3*x(b). Give a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19 - -22) + -4 - 2) + -1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18149 + -9964. Is 40 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 7*z - 10. Calculate y(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 626 and 12481188.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 > -331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h = -5*d - 28*h + 42, 5*d - 4*h - 66 = 0. Calculate the lowest common multiple of d and 245.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -99. Let b = -7735.49 + 7787. Let g = d + b. What is g rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccg when three letters picked without replacement from {f: 2, c: 10, g: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5 + 48*w**4 + 164*w**3 + 168*w**2 = 0. What is w?\nAnswer: -7, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 420*b**2*j + b*j + 4*b - 14 wrt b?\nAnswer: 840*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 12*x + 40, 646*z + 2*x = 650*z + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2, 44, -5\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644784.1 centuries in years?\nAnswer: 64478410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3422 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17623312 and 472053?\nAnswer: 52869936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 194*o**2 - o. Let u be b(4). Suppose -2*p + 4*s = -u, -3*p + 7011 = 2*s + 2337. Let a = 2307 - p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.736 + -0.2339503?\nAnswer: -1.9699503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1033 (base 5) to base 9\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1191 or 0.0700235?\nAnswer: -1191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 2:19 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -4, 19.35?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4.02. Let i = s + 0.02. Let o = 9\/10 + -2\/5. Sort o, -1, i.\nAnswer: -1, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 - 2.37. Let t = d - 0.03. Let u = 0.5 + t. Which is smaller: 0.2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.5 + 5. Let w = 0.1 - o. Let h = -0.5 + w. Which is greater: h or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from ppsuqupsvvsn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.7 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 9:25 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6462 divided by -718\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 137*q - 135 - 8688*q**3 - 1437*q**2 - 1758*q - 64*q**4 - 5055*q**2 = 0.\nAnswer: -135, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 27*x**3 + 3*x**2 + 120*x - 2. Let o be r(11). Calculate the greatest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242014426 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1435 is divided by 299.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 + 3 + -46 + (16 - -22) + -6.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633565 is divided by 70371?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**2 + 7*r. Let j(u) = -3*u**2 - 3*u. Let o(x) = -5*j(x) - 2*k(x). Let i be o(-2). List the prime factors of i + 0 + 2 - -20.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/12398 and 8\/9.\nAnswer: 111582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1437*i + 16 = 1433*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*(17 - -3). Let b = -6 + t. Let i(c) = -c**3 + c**2 + c + 1. Let r(q) = -2*q + 0*q**3 - 6*q**3 + 5*q**2 + 4 + 4*q. Determine b*i(a) - r(a).\nAnswer: 2*a**3 - a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/4))**1 assuming l is positive.\nAnswer: l**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000 - -1000011111100010?\nAnswer: 1000100000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 737 + -246. Let s = -495 + w. Which is the nearest to -1? (a) -0.05 (b) s (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 108 = 4*c. Let y be 4 + -3 + c + 0. Does 8 divide (-2 - 4)\/3 - y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 527 divide 2827811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -261 + 1341. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -129?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 25*w = -132. Let n(d) = d**3 - 12*d**2 - d + 13. Calculate n(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*b + 19, b = 2*k + 4 - 3. Let j be -6*(5\/(-2) + k). Suppose 0 = -s - j*s - 12. Are s and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 33264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980 is divided by 296.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 578 = 469941\/811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 24 = 2*o - 6*o, -2*r - 4*o - 56 = 0. Let y be 16\/9 + r\/(-90). Suppose 48 = y*c - 48. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1898)\/(-10) + (-1)\/(-5). Suppose 5*t + 0*t - 156 = -4*f, 0 = 5*f + 5*t - l. Suppose 6 = -g - 5*k + f, -4*g - 8 = -4*k. Are 3\/2 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*b + 0 + 547*b + 444*b + 0.\nAnswer: 896*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017655 to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70155297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65c - 3?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 + 22?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7102075093 to the power of 1\/2, to the nearest integer?\nAnswer: 84274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**5 - 2428*m**4 + 248388*m**3 + 26996060*m**2 + 530483800*m = 0. Calculate m.\nAnswer: -35, 0, 259, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*h = 12 - 24, 2*f = 5*h + 39. Suppose f*m - 14321 = -1421. Is 51 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0*m + m - 242, 401 = 5*x + 4*m. Let q be 2\/(-16) + 5 + 396\/96. What is the highest common factor of q and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 24. Let y(p) = 2*p - 24. Let b(i) = -3*t(i) + 4*y(i). Let l be b(15). Differentiate -l*z - 15 + 0 + 5 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 46, 142, 270, 424?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19783 - -23051. What is the greatest common divisor of 684 and i?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 524 - 546. Which is the third smallest value? (a) 3\/4 (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10184 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + y + 280 = -y, 5*y = 5*v + 245. Let a be (8\/10)\/(v\/(-30)). Let c = 73 + -363\/5. Sort -0.5, a, c in increasing order.\nAnswer: -0.5, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28288, 28258, 28198, 28102, 27964, 27778, 27538?\nAnswer: 27238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(2 + sqrt(242) + -5) + (sqrt(44)\/(sqrt(2) - sqrt(2)*-2))\/(sqrt(22)\/sqrt(2)*-6 - sqrt(11)).\nAnswer: -5545*sqrt(2)\/21 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4 = -4*x + 10, -5*h = -4*x - 14. Let l = 38 - 26. Let r be 3 + 2*l\/(-8). Sort x, 1\/3, r.\nAnswer: x, r, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 5. Let i = -1.551 + 6.551. Sort 0, i, d.\nAnswer: d, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-18)*(-6)\/4. Let v = g - -17\/6. Let z = 0 - 0. What is the third biggest value in v, z, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2. Let y(o) = 9*o**2 + 2*o**2 - 3*o**2 + o**2. Calculate u(y(s)).\nAnswer: -162*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*22\/33*62\/(-12*(-15)\/(-45))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*r + 931114 = -26466. What are the prime factors of r?\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/1260 and 97\/12.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*c**3 + 28*c**2 - 35*c**3 + 113*c**3 - 34*c**2.\nAnswer: 25*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4369383211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2 - 2 - 1. Suppose 3*i + 2*i + 2*y + 20 = 0, -i = -y - 3. Let t(w) = w**2 - 3. Let x(q) = i*t(q) + 6*h(q). Let l(o) = o. Give l(x(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4\/7 - 108*f**3\/7 - 232*f**2\/7 = 0 for f.\nAnswer: -2, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5868055 rounded to two decimal places?\nAnswer: 15.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 162 - -7?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*c**4 - 2*c**2 + 79*c - 2 wrt c.\nAnswer: -720*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 31*s**2 + 34*s + 116. Determine t(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-7\/6)\/p))\/(p*p**5*p*p) assuming p is positive.\nAnswer: p**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3838 - -3838.1. Which is the fifth smallest value? (a) p (b) -3 (c) -1\/3 (d) -0.2 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 - 2. Let q(j) = j - 5. Let v(h) = h**2 + 4*h - 3. Let b be v(-6). Let l be q(b). Let g = l - 4. What is y(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - b + 1. Let k be (-4)\/8 + 4\/(-8). Let c(j) = -10*j**3 - 12*j + 10. Determine k*c(q) + 12*h(q).\nAnswer: -2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -23. Let b be 36*-2*u\/(-30). Suppose -245 = -b*g + 7*g. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 101 - 4?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -150, -229, -312?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**8\/560 - q**4\/4 + 4*q**3\/3 - 4*q**2. Let v(k) be the first derivative of d(k). Differentiate v(r) wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from ygjcuup.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464700?\nAnswer: 2, 3, 5, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7*z = 2*z - 23, 4*z + 2 = 5*v. Let q = -41 + 24. What are the prime factors of 11\/(-22) + q\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**4\/24 - 4*g**3\/3 - 29*g**2. Suppose -19*d - 2 - 283 = 0. Give i(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -db + -b?\nAnswer: -e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**5\/20 - 11*g**4\/3 + g**3\/2 + 72*g**2 - 3*g + 22. Let k be d(-44). Solve 14 = -13*a - k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 4*k + 1. Let d be w(5). What is the third derivative of -2*o**2 + 0*o**4 + 2*o**4 - 2*o**4 - 2*o**d wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (58\/261)\/((-4)\/(-6)). Let j(u) = -4*u + 16. Let l be j(5). Sort -0.5, b, l, 34 in increasing order.\nAnswer: l, -0.5, b, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -141 + 92 + 53 + z. Determine t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 2*r - 4. Let m(i) = i - 5. Let t be m(0). Let w(d) be the second derivative of 0 - 8*d - 1\/2*d**2. Calculate t*w(y) + g(y).\nAnswer: y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, l: 2, a: 1, x: 9}. Give prob of picking 1 l and 3 d.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 10:30 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 - -43 - (13 + -1 + -4)) + -140 + 132?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + 9. Suppose -j + 40 = 3*k - 2*j, -5*k = -5*j - 50. Calculate the greatest common divisor of k and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y - a = 49, -5*y + 121 = -a. Let d = -16 + y. Let l = 187 + -99. Calculate the highest common factor of l and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5859834 is divided by 3730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24322.\nAnswer: 2, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 + 13 = -54*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15278979077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -h - 150. What is the greatest common factor of h and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 2*l - 7*l + 7*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**3 + 2*l**3 - 2*l + 7*l**2 - 2*l**4 - 2*l**3 - 2*l**3 to the form y*l + s + w*l**2 + a*l**3 + f*l**4 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -628, -2043, -4402, -7705?\nAnswer: -11952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z**2. Let l(x) = 14*x - 21*x - x - 13 - 28. Determine l(r(u)).\nAnswer: 48*u**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02752 to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251674 is divided by 605?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0766 + 0.011. Let d = f - -1.0656. Which is the second smallest value? (a) d (b) 9 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-569158)\/(-69))\/((-2)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from jjjxsjlxl.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*h**2\/5 + 146732*h\/5 - 476856 = 0. What is h?\nAnswer: -1611, 370\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -74310*f**2 - 12*f - 70. Suppose 0 = 2*c - 2, 4*b + 27*c - 55 = 32*c. Let z be v(b). What is z rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347866.\nAnswer: 2, 173933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(68)*-2*3 + -3)*6)**2.\nAnswer: 41472*sqrt(17) + 1415232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c + 1 = 0. Is (-2)\/(((-2)\/(-53))\/c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48181*u - 16*u**3 - 2*u**3 - 18 - 48181*u + 31*u**3.\nAnswer: 13*u**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 2. Let m be 1 - 8\/(6\/(-3)). Let w be i(m). Let v = 14 + w. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -5*x - 36 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 5, -0.1, 11, 1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuilugc. Give prob of picking 1 g and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q - 4*l = 148, -3*l = 2*q + 321. Let j = q - -1174\/7. Is -1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 289222939630 + -39.9\nAnswer: 289222939590.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*x = -32, 0 = 16*v - 17*v + 3*x + 13. Let d(n) = 8*n**2 - 6*n + 6. Calculate d(v).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15935\/24 + 664. What is the common denominator of 67\/8 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1028*s - 129*s - 160*s.\nAnswer: 739*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6647)\/(-391))\/((-17)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -72, -226, -524, -1014, -1744?\nAnswer: -2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1) + (-7 + 1 - (25 + -33)) + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -11*h**2 - 2 - 17 - 2*h**3 - 2*h**3 + 3*h**3 - 2*h. Let j be l(-11). Is 5*81 + 3 + (-3)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -656, -2462, -5466, -9674, -15092, -21726?\nAnswer: -29582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5972.53 + -6032. Let s = o - 1.53. Let t = s - -60.99999682. Round t to seven dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*k + 112 - 144, 2*k + 104 = -16*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -763 from 2001.\nAnswer: 2764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2892033*c**3 - 4762366*c?\nAnswer: -17352198*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20\/540*-6 + 22\/(-144)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -41 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/(-6))\/(28\/(-71820)). Suppose 33*f - 15*f = b. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - x = -2*t + 21, -2*t - 4*x = 0. Let p = -1 + t. Let n be -1 - -3*p\/(-30). Which is the closest to 5? (a) -2\/9 (b) n (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17776)\/1010 - (-17 - 1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/18 - 71*q**3\/36 - 95*q**2\/12 + 25*q - 115. Factor a(f).\nAnswer: (f - 19)*(4*f + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**14\/(z*z**(11\/2)*z*z*z)*z\/(z**3\/z*z)*z**(-4) assuming z is positive.\nAnswer: z**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(sqrt(77) - (2*sqrt(77)*-5 - sqrt(77)) - (sqrt(77) - 4*(1*sqrt(77) + sqrt(77))))\/((sqrt(110)*2*4)\/sqrt(10)).\nAnswer: -171*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1acda5 (base 16) to base 10\nAnswer: 1756581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*v - 88 = 0, -2*v + 0 = 6. Suppose 7*x - b = 2*x. Let p(q) = 3*q + 0*q - x*q - 2 + 2*q. Give p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73853615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -158*n**3 - 2*n**2 - 15*n - 10. Calculate v(-3).\nAnswer: 4283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 s when three letters picked without replacement from {c: 7, s: 1, h: 9, q: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1433202 (base 6) to base 8.\nAnswer: 240702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4953.08307 to the nearest 10.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1132 - 2265\/2. Which is the nearest to s? (a) -5 (b) 65 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 5*j + 1. Let d be u(-6). Suppose 2*q + 2*b - 12 = 3*b, 5*q = 5*b + 40. Let o = 0 + 0. Sort d, q, o.\nAnswer: d, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28370775047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:57 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*k + 756 = 0. Let o = 6 + 12. Let d = 36 - o. Calculate the highest common divisor of d and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 3, g: 1, i: 1, v: 1}. Give prob of sequence iv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 8, 22, 38, 56, 76?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139812130 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4505 divide 428801590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(((-120)\/25)\/(-8)*-1). Sort 0, -8, z, 1.\nAnswer: -8, z, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13 and 0.023.\nAnswer: 13.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 24*j**3 + 8*j - 37. Is d(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 288 + -263. Suppose g*f - 13*f - 1464 = 0. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**2 + 43*h**2 + 0*h**2 + 267 - 10*h**2 + 441.\nAnswer: 17*h**2 + 708","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 250\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.9 (c) 0.075 (d) 4 (e) 0.2 (f) 0.04\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p - 120. Let u be r(-41). Solve -u*z - 12 = 5*w, 3*z - 2*w = 2*w + 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.568 in 4, 1\/4, -0.2, -0.3, -2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 3*k**2. Let d be v(3). Suppose w + 4*w - 25 = d. Solve 3*g + 16 = w*j - 3*j, 3*j = 5*g + 26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((n\/(n\/((n*n*n**0)\/n)))\/n)\/n)\/n*n)\/n)**(-14\/3)*(n\/(n\/n**(2\/7)))**(5\/14))**(12\/7) assuming n is positive.\nAnswer: n**(5548\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 - 123804\/(-42). Suppose -q = 21*l - 25*l. Suppose -112 = 5*m - l. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 147\/(-42)*(1 + -9). Calculate the highest common divisor of 154 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 62, 87, 124, 179, 258?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*j - 18, -25 = -9*j + 4*j. What is the third derivative of -4*g**2 - 2*g**w - 5*g**2 + 23*g**3 - 32*g**3 wrt g?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 + 13*o**2 - o**2 + 7*o**3 - 12*o**2.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 414669384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 4*i - 10*i + 328.\nAnswer: -12*i + 328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k - 16 = 0. Suppose 2*v - k = 3*t - t, 4*v - t - 2 = 0. Let x be (-1)\/(2\/(-4) - v). Solve n = -x*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 980 - 44*p**3 - 360 + 19*p + 976 - 9*p - 150 wrt p.\nAnswer: -132*p**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 13*c**4 + 4*c**3 - 4*c**2 - 4*c + 23. Let h(t) = -13*t**4 - 5*t**3 + 5*t**2 + 5*t - 24. Let v(d) = -4*h(d) - 5*s(d). Differentiate v(k) wrt k.\nAnswer: -52*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 166\/(-120) - (-39)\/26. Let z(x) be the third derivative of 1\/120*x**6 + 0*x - x**3 - 1\/3*x**4 + o*x**5 + 0 - 3*x**2. Give z(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21363584.\nAnswer: 2, 11, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 1.3. Let h = 10.8 - 53.8. Let d = h + 43.02. Are d and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 1\/3, 51, 3, -0.06 in ascending order.\nAnswer: -3\/5, -0.06, 1\/3, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2d9 (base 14) to base 2\nAnswer: 1001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7844 times 1.5?\nAnswer: -11766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(190) + sqrt(190)*1))\/sqrt(10) + -2.\nAnswer: -2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1102 - -1095. Sort 4, 47, -2, n in descending order.\nAnswer: 47, 4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 600 + -5?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 124 - 55*m + 65 - 3*m.\nAnswer: -58*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12257860738245 plus -5?\nAnswer: 12257860738240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vysqqyqvfqffyvvfyqvf. Give prob of picking 1 q and 1 s.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, 653, 1, -5, 2, 6 in increasing order.\nAnswer: -5, 1, 2, 6, 83, 653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2 + (2 + 2 - 3)*(4 - 3 + 2) + 0 + 2 - 3 + 4 - 3 - 2 - 1 + 3 - 3)*(13*x - 4*x - 4*x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.2, -1\/4, 1\/8, -42, -28?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 3) + 17 - (14 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5) + 27115\/(-25). Let h = c + 1658. Suppose h + 322 = 5*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 14*z - 9. Let c be y(-6). Let i = -8 + c. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -4 (b) 2\/178589 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12*m**2 - 28*m - 4. Determine x(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (84\/273)\/((-4832)\/(-5889))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00165 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 6*f - 9810 = 0. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 453313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 508)*-86 + (-84)\/12 + 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 25*j**2\/2 - 6*j - 1. Let a be g(9). Suppose -5*t + a = -106. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 10:14 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 223 + -209. What is the remainder when 529 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10590514*c = 10590200*c + 6280 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - ((-9)\/(-4))\/((-7)\/(-28)). Let z(l) be the first derivative of l**4\/4 + 7*l**3\/3 + l**2 + 10*l - 8. Let n be z(k). Which is bigger: -34\/9 or n?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1, 2, 5, 8, 11, 14?\n\"Answer: 3*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 4*z + 1. Let s be p(-3). Suppose 2*a + 12 = -2. Let k = -3 - a. Put k, 1, s in ascending order.\nAnswer: s, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let f = w - 1. Suppose -p = -f - 2. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 3*h**2 - 10*h - 5. Let f be q(8). Let i = f + 904. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 + 2*p**4 + 3*p**2 + (2*p - 4*p + 0*p)*(-p**3 + 0*p**2 + 0*p**2) - 10 + 10 + 4*p**4 - 3*p**2 + p**4 + 3*p**2.\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-66) - (-122360)\/(-8778). Sort 0, -4, 5, -6, v in descending order.\nAnswer: 5, 0, -4, -6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/297)\/((-5)\/((-160)\/2)).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103 and 836.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 26 - 18. Let v(s) = 9*s**2 + 2*s - 1. What is the remainder when v(-2) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1915*z - 36 = -1903*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 + 19*g**2 + 7*g + 4. Let n be y(7). Suppose 0 = -14*v + 10336 - n. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.81607 kilometers?\nAnswer: 1816070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**9\/4536 + w**8\/1260 - w**7\/1260 + w**3 + 2*w**2. Let m(s) be the first derivative of c(s). What is u in m(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11835777 by 7751.\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34257, -35776, -37293, -38808, -40321, -41832?\nAnswer: -43341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from ddududdudu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -13. Let s = m + -3. Suppose j - 9 = 4*j. Which is the smallest value? (a) j (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 207 or 36929\/179?\nAnswer: 36929\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 75533 times 1.3?\nAnswer: 98192.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + m + 98 = -69, 0 = 2*l - 3*m - 116. Suppose 12*t - 4*t = 80. What is the greatest common divisor of l and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -2. Let d be (2 - -1)*6\/b. Suppose 2*k = 5*t - 34, -17 = -t - 5*k + d*k. What is the highest common divisor of t and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + z - 1102 = -1055, -23 = -2*v + z for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*j**3 + (j**2 - j**3 - j**2)*(-3 + 3 - 2) - 3*j**3 - 5*j**2 + 6*j**2 + 3*j**2.\nAnswer: j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4056.1 rounded to the nearest one hundred?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + i + 52, 8*i - 64 = -4*u + 6*i. Suppose 3*k = -5*m - 17 - 23, -32 = 4*m - 5*k. Let s = m + u. Solve -4*v + v - s = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**5 + 2*c**5 + c**5 + (-3 + 0 + 4)*(0*c**5 - 6*c**5 + 0*c**5).\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3033121310200 - 0?\nAnswer: -3033121310200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -16, 9, 0 in descending order.\nAnswer: 9, 6, 0, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 169597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/((550\/(-88))\/25)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6.1 (b) -3 (c) -629\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2894422 and 7\/912?\nAnswer: 69466128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*h, 29 + 6 = 4*f - 3*h. Solve 0 = -5*t + 2*u + 5, -f*t - 4*u = -2*u - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146509 - 145531.79. Let n = d + -983. Round n to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 256*l**4 + 2*l + 16*l**3 + 11*l**2 - 11 - 124*l**4 - 130*l**4 - 16*l**2 to the form w*l + r*l**4 + g + n*l**2 + s*l**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 14*z**2 + 12*z - 16. Let k be v(-13). Let d be (-2)\/20*-8*-2. Is k equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266241381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f - 21 + 2*f - 13. Let j be m(-18). Solve -4 = -j*h - 2*y, 5*h = -2*y + 7 + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2288 - -48?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 61*z**2 - 2*z - 7. Let n be m(-3). Suppose 2*f + 0*f - n = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -33*b + 54 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 - 6580*v + 84977. Give n(13).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 3*o - 10. Let d be 4 - o\/(2 - 3). Suppose g = 2*c - 2, 5*g - g - 32 = -d*c. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*z**2 + 0*z + 8\/3 = 0. Calculate z.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2112024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -1150?\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-44764)\/(-646) + -68)?\nAnswer: -17\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c - 7 + 175. Let t be 24\/c*(-7)\/(-2). Solve -t - 2 = x - 4*n, n - 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -163730?\nAnswer: -2\/81865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 1785 = r + 1842, -7*b - 120 = -5*r for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 100*t**3\/3 + 77*t**2\/2 - 58*t - 44. Let o be a(-46). Round o to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k + 2. Suppose 2*d = -5*n + 7*d - 15, 3*d - 7 = 4*n. Suppose -15 = n*q - 61. Calculate the remainder when q is divided by i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + -125e?\nAnswer: -1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -871, 2243 in ascending order.\nAnswer: -871, 5, 6, 2243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-470)\/40)*8\/(-5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*t**2 - 3*t - 374.\nAnswer: -22*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 42*o + 840. Calculate u(21).\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2 + f**3 - 4 - 3*f**2 + 2 + 3*f. Let t be o(3). Suppose -s + t*g = -24, -3*g - 16 = -s - 0*g. Calculate the least common multiple of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*x - 3, -61*j + 66*j - 5*x = 45 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + 2 - 2)*(-1 + 0 - 2)*(-732*i - 498*i + 1523*i) to the form l*i + w + p*i**2 and give p.\nAnswer: -2637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45915*b**3 - 139805*b**2 wrt b.\nAnswer: -275490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 37 = -u + 31, -3*i = -4*u + 36. Let t(z) = -z**3 - z**2. Let f(q) = -q**3 + 4*q**2 + q. Calculate i*t(d) - f(d).\nAnswer: 5*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 368416.58 to the nearest one hundred.\nAnswer: 368400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25 + -6715360?\nAnswer: -6715385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*c = 284*c + 60795. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -21*x. Calculate d(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7453 - 24.7573. Let z = y + 24.1. Which is greater: z or -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - j + (2*j + 2*j - 2*j)*(1 + 3 - 1) + 0*j - j + 4*j - 2 as q + h*j and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160*h**2 + 20*h**4 + 7*h**5 + 2*h + h**2 - 14*h**4 wrt h.\nAnswer: 420*h**2 + 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -24*b**2 + 21*b - 154. Let u(i) = -17*i**2 + 15*i - 102. Let j(h) = 5*f(h) - 7*u(h). What is j(0)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 305 by -170.\nAnswer: -61\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 4*v + 8.\nAnswer: -4*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + (3*sqrt(2299)*2)**2)*1.\nAnswer: 11*sqrt(19) + 82764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13200\/(-16500))\/((-4)\/365).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 0.1. Let m be (-2)\/6 + (670\/15)\/2. Suppose 15*i = 4*i + m. What is the third biggest value in i, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223203330 (base 4) to base 13\nAnswer: -632a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -k, -134 = 5*y - 2*y - 5*k. Let d be y\/2*(4 - 2). Let a = -26 - d. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -52. Find the second derivative of -3*t + t - t - t - 22*t**v wrt t.\nAnswer: -132*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1339 divided by -103\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.1 + 8. Let v = 2 - m. Are -1\/25 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w - 0. Suppose w*v - 3*g + 270 = 0, 5*v - 5*g - 27 = -712. Let l = -84 - v. List the prime factors of l.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:07 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 981, 2450, 5317, 10050, 17117?\nAnswer: 26986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -3*m - 38*m + 16*m. Let g(p) = p - 12. Determine g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -3)\/(-2) - -2. Let t be -5*((1 - 3) + j). Let l(k) = -6*k**2 + k + 5*k + t*k**2. Determine l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13646, -13647, -13648?\n\"Answer: -u - 13645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let s be ((-6)\/(-10))\/(w\/(-10)). Let g = s + 27. Solve -19 = n - 3*c, -2*n + c = -4*c + g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10048 + 19829. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032036229+1\nAnswer: 0.967963771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 389\/20 > 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 772 = -4*y - 3*a, 977 = 5*y + 2*a. Calculate the remainder when y is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1047)\/(-2))\/((-213)\/(-284)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:46 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11385864 divided by -2394.\nAnswer: 4756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**3 + 4*q**2 - 14*q + 3. What is the units digit of i(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 10 - (-5 + 3 + 4 - 10).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883730 is divided by 1434.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11))**(-5\/9)*l\/(l*l**15)*(l*l**(-3\/2)*l)\/l assuming l is positive.\nAnswer: l**(-169\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q**3 - 4*q**2 - 4*q + 4. Let m(j) be the first derivative of 15*j**4 - 5*j**3 - 15*j**2\/2 + 15*j - 520. What is -15*c(o) + 4*m(o)?\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116003451.\nAnswer: 3, 29, 127, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**3*k**2 + b**3*k*q - 4*b**3*q**2 - 2*b**2*k**2 - b**2*q**2 - 14*b*k**2*q wrt b.\nAnswer: -18*k**2 + 6*k*q - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrqq. Give prob of sequence rqq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/40 and -37\/532?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5529.911 to the nearest one hundred.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 16\/(-6)*102507\/(-94)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/206 and 5\/6.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (6 - (0 - -19))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((145\/58)\/((-14)\/4))\/((-48)\/(-56)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o. Let b(a) be the first derivative of a**2 + 14*a - 7. Let q be b(-6). What is k(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16036 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 449908601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -328 - -574. What are the prime factors of l?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5612230*h**2 + 26*h + 1657 wrt h.\nAnswer: -11224460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 0*n - n + (3 - 4 + 3)*(0*n + 4*n - 2*n))*(18*n - 3 - 1 - 2 + (-3 + 2 - 1)*(4 - 4 + 2*n)).\nAnswer: 112*n**2 - 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -382*i**3 + i**2 - i - 29. Is s(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1798 and 820178?\nAnswer: 25425518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 12:40 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 432 + 493. Let a = v - 140. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 564 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) 12\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 5*m**3\/3 + m**2 - 15*m + 50. What is the hundreds digit of y(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5\/3 - 56*m**4\/3 + 6526*m**3\/3 + 230284*m**2\/3 + 1994608*m\/3 + 4723840\/3 = 0 for m.\nAnswer: -55, -22, -8, -4, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.008523l?\nAnswer: 8.523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**1)**(18\/7)*(p**1)**(-3\/11)*p**3\/((p\/(p*p**3*p))\/p)*p**(-3)*p**(-2\/3)*p assuming p is positive.\nAnswer: p**(167\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -0.5, -30, 0.4, -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*f + 65, f - 59 = -5*r - 9. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -0.002025?\nAnswer: 0.297975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4 = o, -2*y - 11 = 4*o + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 1134018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 9*y**2 - 3*y + 4. Let n be u(4). Suppose -p = p - n. Solve 9*f + 10 = p*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3881, -3885, -3893, -3905, -3921, -3941, -3965?\nAnswer: -3993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6424 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at least as big as 3678252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 19, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29 and 33.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8 = -3*o - 3, -j + 2 = 0. Let m = 2 + -1. Let b be 4\/21 - m\/3. Are b and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2924, 5828, 8732, 11636, 14540?\n\"Answer: 2904*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 513554, 1027098, 1540608, 2054066, 2567454, 3080754, 3593948, 4107018?\n\"Answer: -3*l**3 + l**2 + 513562*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 164*k - 13216. Give o(71).\nAnswer: -1572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**4\/84 - 19*t**3\/21 + 40*t**2\/7 + 28*t + 5. Factor n(j).\nAnswer: -(j - 2)*(j + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/4 - 189*v**2\/2 - 35721*v\/4 = 0. Calculate v.\nAnswer: -189, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k - 5*k)*(-89*k + 22*k - 24*k).\nAnswer: 182*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*y - 317 - 377 - 1081*y**3 + 11 - 4*y wrt y?\nAnswer: -3243*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (855\/(-2) + 5)*(-39)\/(-9). Let f(m) = 1816*m**2 - 2*m + 1. Let c be f(1). Let d = x + c. What is the common denominator of 7\/8 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*v + 3*v**3 + 36*v - 5*v**3 + 40*v + 13 in the form k*v + b*v**2 + s*v**3 + n and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c*q**5 + 14*c*q**4 + 2*c*q - 237*q**2 + 2*q wrt q?\nAnswer: 240*c*q**2 + 336*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*d - 1813, 0*d + 2 = 2*d. Calculate the greatest common divisor of t and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-9 - (2 + -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13 - 4)\/((-3)\/(-5)). Suppose w*p = 7*p + 32. Solve 0*g + 2*g = p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -117*i**6\/40 - 13*i**5\/60 + i**4\/6 - 33*i**2 - 2*i. What is the third derivative of a(j) wrt j?\nAnswer: -2106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1819 + -1099. Is 36 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570325 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 268 + -259. Do x and 9 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 7*u + 14. Let i be l(-4). What is the nearest to -0.2 in i, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (56\/10)\/(((-128)\/1860)\/16). Let d = 1307 + b. Let k(l) = 28*l - 1. Let g be k(2). What is the highest common factor of d and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 36027*u**2 - 338029875*u + 241367765625.\nAnswer: -(u - 17625)**2*(u - 777)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**3 + 61*w**2 + 15*w + 1. Give z(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173357080*d**2 - 1257*d - 54167 wrt d?\nAnswer: 346714160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8818\/3 - 2939. Let k = 0.04 + 0.96. What is the closest to k in m, -0.1, 2\/23?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4859 + -11660. Let b = -2 + 2. Let q be 2 + n - (1 - b). What is q rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -108 + 112. Find the third derivative of 1066*c - 27*c**6 - 1066*c - 39*c**n wrt c.\nAnswer: -3240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48366*q**3 + 19*q + 10*q**2 + 48408*q**3 - 5*q wrt q?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30457.1989 rounded to the nearest ten?\nAnswer: 30460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1601515 + 8544485 = 0. Round r to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + 1 + sqrt(432) - (3*sqrt(192) + 4)**2).\nAnswer: -1750 - 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 29*b - 16*b + 22*b.\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37383 < 37384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11882 greater than 0.232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4.75+-93.32318\nAnswer: -98.07318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 m, and 1 n when three letters picked without replacement from {n: 9, w: 2, d: 3, m: 2}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1300)*2)**2*5 - ((sqrt(52)\/sqrt(256))**2 + (sqrt(13) - (-1*sqrt(13)*-1)**2)).\nAnswer: -1001*sqrt(13) + 1672819\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1890)\/(-60) - 3)\/((4\/20)\/((-6)\/15)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7013683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 82308*i**4\/5 - 3616137*i**3\/5 - 229482*i**2 - 120972*i\/5 - 4248\/5 = 0.\nAnswer: -2\/19, 177\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -31*m**2. Let g(a) = -21 + 21 + 13*a**2 + 45*a**2 - 33*a**2. Determine l(g(c)).\nAnswer: -19375*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 89099 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121 - -207. Let a = k + -53. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c + 285 - 570 + 285 - 4*c**2 + c**3. Let f(v) = 2*v**3 - 5*v**2 - 4*v. Calculate 4*f(w) - 5*o(w).\nAnswer: 3*w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46304314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1102, 2214, 3338, 4480, 5646?\nAnswer: 6842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*w - 4*o, -5*w + 3*o + 1 = -6. Solve 5*d + 2*b = 1, -4*d + 0*b = 3*b + w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a + 15. Suppose 5*i + 11 = x + 3*i, a*x - 2*i = 17. Suppose k + w + 5 = 4*k, k - 7 = 3*w. Sort k, -5, x in descending order.\nAnswer: x, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 10 = -7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - v + (0 - 2*v + 0)*(-2 - 4 + 4) + 4*v - 2*v + 0*v + (-1 + v + 1)*(3 - 18 + 4))*(0 + 3 + 1) to the form b + m*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**4\/4 + 7*y**3\/3 - 7*y**2\/2 + 12*y - 8. What is the tens digit of v(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -443\/8 - -1345\/24. Which is the closest to -2\/5? (a) -2\/3 (b) l (c) 2\/1729\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.2 + -2. Let q = 595.3 + -671. Let k = q + 76. What is the second smallest value in -2, m, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*p + 336 + 348. Let u(k) = -3*k - 12*k + p*k - 10*k - 11*k. Let w(b) = 103*b**2. Calculate u(w(g)).\nAnswer: 206*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 9*z - 8. Let h be i(-6). Let s = -12 + h. Let q = 21 - 21.4. What is the third biggest value in q, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + v - 1. Let i be (v\/(-4))\/((-20)\/32). Which is the closest to i? (a) 4\/3 (b) -0.3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -23*z - 419. Determine c(7).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81c (base 15) in base 8?\nAnswer: 3443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:01 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12a6686b + 5?\nAnswer: 12a66874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnenneeennne?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4114)*2*-2 + 4*-2*sqrt(4114))\/(1*sqrt(72) - sqrt(22)\/(sqrt(88)\/sqrt(8))).\nAnswer: -132*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342*-10.7.\nAnswer: -3659.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 9 (c) -6\/5 (d) -147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 17*d - 13*d. Let p = 87 - d. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022022021 - 2001?\nAnswer: -2022101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-2940)\/176) - (-2)\/7.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3983273, 7966546, 11949819, 15933092?\n\"Answer: 3983273*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.67 from -264.\nAnswer: -264.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - 31. What is the greatest common divisor of j and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000143135845 rounded to seven decimal places?\nAnswer: 0.0001431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 523995 and 1852800.\nAnswer: 2895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-f + f + 6*f)*(5*f**2 + f**2 - 4*f**2)*(-5*f**2 + f**2 + 5*f**2).\nAnswer: 24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Let d(y) = -61*y**2 + 7*y + 16035. Give d(p(j)).\nAnswer: -549*j**2 + 21*j + 16035","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -463, -690, -917, -1144?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 19 - 199. Let j = 22 + u. Let h(f) = f + 11. Calculate h(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 7*i**2 + 4. Suppose 4*r + 33 = 5*p - 2*p, -13 = -p + 2*r. Calculate g(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.935 centuries in years?\nAnswer: 93.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**6\/30 - u**5\/5 + 8*u**3\/3 + 25*u**2. Determine k, given that q(k) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -484339 - 521161. What is b rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.5343711 decades?\nAnswer: 0.05343711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/5)\/(x*(x\/(x*(x\/(x*x*x\/x**(1\/11))*x)\/x))\/x)*((x\/(((x*((x**(-1)*x)\/x*x)\/x)\/x)\/x)*x)\/x)**(-29) assuming x is positive.\nAnswer: x**(-4901\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 227112 divided by 4\nAnswer: 56778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 936, 1531, 2946, 5529, 9628, 15591?\n\"Answer: 58*f**3 + 62*f**2 + 3*f + 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-11)\/33)\/(1\/(-9)). What is the units digit of (1 - 4) + m + 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*b + 4698 = 78*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3, 5*n + r - 192 = -2*r. Let g = 3385 - 3373. Suppose -g = 35*k - n*k. Put 1, k, 4 in descending order.\nAnswer: 4, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-14)\/91 + (-3 - 58040\/(-52))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, -42\/5, -0.5, -2, -0.11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*o**2 - 111*o.\nAnswer: o*(23*o - 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 4*w + 6*z - 32 = 0, 11*z - 9*z = 4*w - 4*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9486, 18846, 28080, 37188, 46170, 55026?\n\"Answer: -63*o**2 + 9549*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n + 19 = -2*r, -r = 3. Suppose -z + x - 3 = n, 0 = 3*z + 2*x + 23. What are the prime factors of (z\/1)\/(-3 - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/2 + 9\/10. Which is the closest to p? (a) 1\/3 (b) -0.4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2. Let l(z) = -5*z + 2. Give l(t(p)).\nAnswer: -5*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/20 and 157\/168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j**2. Let i(p) = 97*p. What is l(i(b))?\nAnswer: -47045*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 209*y + 26153. Calculate q(-125).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6)*6\/10)\/(9\/19125). What is the highest common factor of 100 and v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 2625?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44587.5ng?\nAnswer: 0.0000000445875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - -14. Suppose w = 2*j - 183. Suppose -2*h - 19 = -j. 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: Let n = 12 - 7. Suppose 0 = i - 5*h + 2, 2*i + i + n*h = -6. Let b(d) = -d**3 + 2*d**2 + 2*d + 3. What is the units digit of b(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -71 + 3 + (5237 - 5210)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.1, 0.2, 281, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**6\/20 + 27*v**5\/40 + 5*v**4\/4 + 4*v - 5. Factor j(w).\nAnswer: -3*w**2*(w - 10)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -25*a**3 - 5*a**2 + 52*a. Let i(l) = 100*l**3 + 21*l**2 - 207*l. Let t(b) = 2*i(b) + 9*y(b). What is the second derivative of t(h) wrt h?\nAnswer: -150*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.111 in 41\/5, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2186696 is divided by 53334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1)*u*u**(-2\/11)*u*(u**(-2\/3))**(-26) assuming u is positive.\nAnswer: u**(599\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.01 (b) 2\/3 (c) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 5\/3, 1\/6, 0.3, 82, -6 in descending order.\nAnswer: 82, 5\/3, 0.3, 1\/6, -0.06, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 434 + 490. Is d a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5206, 10520, 16048, 21898, 28178, 34996?\n\"Answer: 18*g**3 - g**2 + 5191*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*m - 2*c, -3*m + 1 = -4*c - 6. Let s(u) = -34*u**2 - 4*u + 77*u**2 + m - 41*u**2. Let w(q) = 2*q**2 - 3*q + 4. Give 3*s(z) - 4*w(z).\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/1*(1 + 0) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**3\/2 - 51*o. Let q(u) = -2 + 55*u - 1 + 2 - 87*u. Determine t(q(d)).\nAnswer: 96*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 0*y + 9*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 44*j - 15 + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -209, -314, -419?\n\"Answer: -105*u - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 993\/92 + -231\/23. What is the fourth biggest value in w, -5, -2\/13, 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3610, -3595, -3562, -3505, -3418, -3295, -3130, -2917?\nAnswer: -2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5888 and -17\/3096.\nAnswer: 2278656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028459848 to six decimal places.\nAnswer: 0.002846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/295956 and -89\/36698544.\nAnswer: 36698544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fko when three letters picked without replacement from {f: 2, o: 2, k: 7}.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.62 - 3.3. Round t to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 9. Let o = -11\/108 + -4\/27. Suppose 26*j + d = 22*j - 2, 3*d - 11 = 5*j. What is the nearest to -2\/3 in q, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**3\/3 + 13*q**2\/2 - q + 8. What is x(9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*29\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4 = -4*a, -30 = 48*m - 58*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 20 + (3 - (-16)\/(-4)). Suppose t*f - 47 = 10. Calculate the remainder when 10 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/9 - 1\/9. Let u = -999 - -3010\/3. Is u at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a**2 - 18. Let t be o(3). Solve 0 = -20*s + 26*s - t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {v: 3, b: 4, s: 10, l: 1, p: 1}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 59 - 35*g**2.\nAnswer: -35*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + 5 + 3 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 177, 173, 167, 159, 149, 137, 123?\n\"Answer: -v**2 - v + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (48 + -40 + (-1 - 19))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t + 1. Let b(v) = -2*v**2 + 1. Give 3*b(s) - 2*z(s).\nAnswer: -4*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 4:14 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -67 - ((7 - (10 + -1) - 1) + 4) - 0\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-3)\/28)\/(9\/(-6))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 2*v + 1. Let c be l(1). Let u be (3*(-2)\/c)\/(-1). What is the units digit of (-2)\/3*u - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 496981*-3.\nAnswer: -1490943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1 + sqrt(2299) + -4)**2*-2 + (((sqrt(228)\/sqrt(4))\/sqrt(3))**2 - ((sqrt(152)*3)\/sqrt(8))**2))*-3.\nAnswer: -396*sqrt(19) + 14301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**5 - 3761*t**4 + 105045*t**3 + 3761*t**2 - 105042*t = 0.\nAnswer: -1281, -1, 0, 1, 82\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. What is the least common multiple of ((-18)\/7)\/((-5 - -3) + (-11)\/(-7)) and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 686?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 342\/14 + -4 + -2?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-44 - (1 + -1)). Let v be (1\/(-3))\/((-1)\/93). Suppose -v = -3*q + o. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 (base 10) to base 6\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28633560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l**3 - 4*l**2. Let h(y) = 6*y**3 + 5*y**2 + y + 1. Determine 3*d(r) + 2*h(r).\nAnswer: -6*r**3 - 2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9723815.83429139 - 9723816. Let m = z + 0.1657. What is m rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 521487177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cykkycyykykkccv. What is prob of sequence vcy?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2391+-477.8761\nAnswer: 1913.1239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 124 divided by -4601\nAnswer: -124\/4601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (3 - 0)) + 20 + 10 + -43.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 974 = c - 2*c, 4*w = -20. Let r be 6\/(-14) - c\/(-42). Suppose 139 = 3*k - r. Is 46 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2457 - 159699\/65. Does -1 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -7*m + 21. Suppose 3*n = -9, 8*r = 3*r + 3*n + 29. Let b(d) = d**2 - 4*d + 1. What is the least common multiple of b(r) and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7339869nm to millimeters.\nAnswer: 0.0000007339869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 113471229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -107, -444, -1011, -1808, -2835?\n\"Answer: -115*r**2 + 8*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**2 - 6*u + 4. What is the remainder when c(3) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 270*f + 46046. Give d(-171).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2827336?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**3 + 10*v**2 - 7. Let l(t) = -19*t**3 + 28*t**2 - 20. Determine 3*l(s) - 8*r(s).\nAnswer: -9*s**3 + 4*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -61*o + 371. What are the prime factors of z(-5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*d - 58*d = -36. Does 55 divide -2 + (1 - -451) + d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1 - 7 = 0. Let l be 8\/14*s + -1. Let d = 1413 - 1410. Which is the biggest value? (a) d (b) 0.09 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b**(18\/7)\/b)\/b*b**(-2\/41)*(b**14\/b)\/(((b*b*b\/(b*b*b**40*b*b))\/b)\/b) assuming b is positive.\nAnswer: b**(16509\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 0 + 2\/3*v**4 + 5\/3*v**3 + 0*v**2 - 3*v. Find the second derivative of n(y) wrt y.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14870279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2955a50 (base 11) in base 2?\nAnswer: 10011010110101100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 444936864.4 to the nearest one million.\nAnswer: 445000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-544)*(-20)\/15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/63 - (-19)\/7. Suppose -1199 = -l*x + 94. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 636 = -4*b + 107, 2*b = -3*g + 313. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = 2*a, -4*p - 3*a + 12 = a. Let s(j) = j - 5. Let u be s(p). Let r be (-6)\/8 - u\/(-4). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 550 and 229482.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5873?\nAnswer: 7, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 6 = 479183*r - 479182*r, -4*n = -6*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 23013*o - 621489. Determine q(27).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740092 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsjhhqkphhjphhs. Give prob of picking 1 k and 1 s.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h + 22*h - 4*h**4 - 15*h + 36*h**2 - 48 + 6*h.\nAnswer: -4*(h - 3)*(h - 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12943379 and 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3288 a factor of 65285329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978693447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55824607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3059022780 to the nearest integer?\nAnswer: 55308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 781 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33\/5 of a hour?\nAnswer: 23760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 364.0991kg in nanograms?\nAnswer: 364099100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 - 4*9\/12. Let s(g) = -11*g**2 - 8*g - 2. Let d(t) = 4*t**2 + 3*t + 1. Let c = 2 - -1. Calculate c*s(n) + v*d(n).\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*l - 359 - 19, 3*h + 612 = -3*l. Let x = -120 - h. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 take away 3?\nAnswer: -2.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*c - 86 + 2284 = -2254 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 2*m**2 - 2*m**2 + (-3*m - m + 3*m)*(2*m**3 + 0 + 0) + m**4 + 2*m**4 - m**4 + m**4 - m**4 + 10*m**4.\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(-2 + (-220)\/8) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/3)\/((-18)\/(-1863)) and ((-5)\/50)\/((-2)\/(-98)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c - 5*c - 6*c - 1478*c**2 + 1479*c**2 + 16*c.\nAnswer: c**2 - 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 657 in 0.2, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 2:13 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 3*k**2 + 7*k - 4. Let j be i(6). Calculate the common denominator of (-20)\/j + 890\/168 and 29\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + -2 + (10 + -12 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 808550*q + 589597?\nAnswer: 808550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) - 3 - -42. Suppose v = -7*v + n. Sort v, -3\/7, 4.\nAnswer: -3\/7, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 98*j**2 + 7*j - 3. List the prime factors of p(2).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2035 - -3760.\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.1, 4, 5, 0.13, -16.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2603.7585 minutes to weeks.\nAnswer: 0.258309375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24996.0579 - -327663.\nAnswer: 352659.0579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14716, 14879, 15150, 15529, 16016?\nAnswer: 16611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (1260\/(-100) - -11). Sort 80, u, -1, 2, -19 in decreasing order.\nAnswer: 80, 2, u, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3211 (base 4) in base 3?\nAnswer: -22111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16359073?\nAnswer: 229, 71437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*8\/84)\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3270553 and 2431.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 7:02 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + c + 13 = -1, 0 = -5*o - 5*c + 20. Suppose o*h = 3*y + 5*h - 1, 3*y - 7 = -5*h. Is 1\/78 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 668175008\/6605 - 101162. Is 1 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -67398899?\nAnswer: 673988a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -330 + 318 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 16*a**2 + 8*a + 13. Let w be t(-15). Let h = 376 + w. Calculate the greatest common factor of 16 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 6*n + 1. Let q(c) = 2*c**2 + 11*c + 2. Give 5*a(k) - 3*q(k).\nAnswer: -k**2 - 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, -20662, -3, -4, 5, -1 in increasing order.\nAnswer: -20662, -4, -3, -2, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 10806908.8 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1766 and 22?\nAnswer: 19426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, q: 3, e: 3, x: 6, z: 2}. What is prob of sequence zyyx?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g - g**3 + g + (3*g**2 - g**2 - 3*g**2)*(-3*g + 2*g + 2*g) - 1392*g**3 + 51*g + 56*g - 107*g.\nAnswer: -1394*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1201*b - 126*b - 58388 = 0 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 1218.\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1858 + 7553. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*d + 823241 = 824018 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 176992.\nAnswer: 53097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2))*5)**2 - sqrt(14)\/(sqrt(21)\/sqrt(3)).\nAnswer: -51*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -5*1 + (-20 - 20). Suppose -3*t - 2*t - 3*w - 205 = 0, 0 = 2*t + 2*w + 78. Let m = t - n. Solve m*s + 1 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + a**2 - 5*a - 22. Determine s(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 185*j**2 + 93*j + 86. Determine q(-92).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -150.5 + 145. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6409580*x**4 + 2767070*x**2.\nAnswer: 153829920*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) -1\/6 (c) -2\/23 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -56.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38725.9, 39, 0, 0.7, 5 in descending order.\nAnswer: 38725.9, 39, 5, 0.7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-10))\/((-1)\/(-245)). Let i(v) = -v**3 - 3*v**2 - 2. Let x be i(-4). What is the highest common factor of g and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*n + 4*d + 37 = 224*n, -5*n + 5*d - 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8800 (base 16) in base 10?\nAnswer: 34816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -286*a. Let c be (-3*18\/216)\/(1\/8). Let q(k) = 15*k. Give c*w(u) - 39*q(u).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 20*b + 14 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r - 1. Let b(t) be the third derivative of t**4\/12 - t**3\/6 + 2*t**2 - 1466*t. What is b(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 691796, 1383594, 2075392, 2767190, 3458988?\nAnswer: 4150786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*s - 107. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 426 + -422. Suppose -b*j + j + 3*h + 987 = 0, 693 = 2*j + 5*h. What is the remainder when j is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j**2 + j - 1. What is q(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446*i - 120 = -454*i. Let a be -1*2*45\/(-6). Calculate the greatest common divisor of i and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*n + 5. Suppose n*l = l. Let p = -581\/4 + 146. Is p > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**4\/12 + 4*u**3\/3 - 3*u**2 - u + 72. Calculate h(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + -71. What is the nearest to -2 in 1\/5, -0.16, t?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 900.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0152 - 0.1848. What is the closest to -1 in h, -4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 672421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 397\/2 - 165. Suppose -h + 190 = -52. Calculate the common denominator of x and (-20 + 18)*h\/(-80).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -11.4. Let u = j + 3.4. Let r = 0.01 - -0.29. What is the nearest to r in 0.2, -1\/6, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (33\/6)\/(-10 + (-158172)\/(-15816)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = 10. Let q be (2 + -2)*(-2)\/4. Solve q = -y + i*a - 22, -15 = -2*a - a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (23 + (-20 - -14)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 295040 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16044\/420 + 4\/5 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*q**2 + 69*q**2 + 54*q**3 - 6*q**3 + 117*q**2 - 49*q**2 wrt q.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*r + 32 + 4, -5*r = -3*o + 4. Let k(m) be the first derivative of -m**3\/3 + 11*m**2\/2 + 7*m - 12324. Determine k(o).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165 (base 15) to base 6.\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, -10, 0.4, 122227 in increasing order.\nAnswer: -10, -2, -0.2, 0.4, 122227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12234*a**2*l*r**2 + 4*a**2*r + 5045*a*r - l*r**3 - r**3 + r**2 wrt l.\nAnswer: -12234*a**2*r**2 - r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(75\/(-6)))\/(12\/(-14))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(-w - w + w)*(-2 - 2 - 2)*((0*w**2 - 2*w**2 + 0*w**2)*(0 - 1 + 3) + w**2 + w**2 - 5*w**2 - 4*w**2 + 0*w**2 - w**2).\nAnswer: -216*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 471181 (base 10) to base 11\nAnswer: 2a2007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*m - 845514 + 200732 = 0. List the prime factors of m.\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89835.\nAnswer: 3, 5, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 14*j**2 + 14*j - 11. Let s be i(13). Suppose -s*q + 2 = 0, -2*n + 0 + 11 = q. Suppose -c - n*c + 180 = 0. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**6\/24 + 3513*v**5\/20 - 1545279*v**4\/8 + 4625303*v**3\/6 - 9243585*v**2\/8 + 3080025*v\/4 + 2129. Factor n(i).\nAnswer: -(i - 1755)**2*(i - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -1\/120*j**6 + j**2 - 20*j - 1\/8*j**4 + 5\/3*j**3 + 0 + 7\/60*j**5. Calculate u(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9425\/6 or 1571?\nAnswer: 1571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*c + 5266 + 3567 + 4232 = 244*c for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2. Suppose 4*j - 41 + 13 = 0. Let f(v) = 4*v - v - 5*v + j*v. Give x(f(g)).\nAnswer: 75*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 + (-143)\/13 + 679228 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 482a0c49 - 2?\nAnswer: 482a0c47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*j - 4139 + 1351 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**6\/120 + 2*s**5\/15 + 7*s**4\/12 + 4*s**3\/3 - 182*s**2. Determine o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(36)\/sqrt(3))\/((sqrt(6) - (sqrt(6) + sqrt(6)*3))*-2) - (5 + sqrt(8) - sqrt(54)\/sqrt(3) - (((-1*sqrt(12))\/sqrt(6) - sqrt(2))**2 + 5)).\nAnswer: sqrt(2)\/6 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.06003 and -0.07?\nAnswer: -0.0742021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/4 and ((-477)\/6)\/((-33)\/1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-20) + (-12)\/5. Let t = -0.3 - -0.8. Let q = 181.3 - 181. Sort t, q, p in decreasing order.\nAnswer: t, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1676*l**2 - 9*l**3 + 696*l**2 + 980*l**2.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 20*w + 24. Let z be s(-20). Find the first derivative of 60*t**2 + z + 22*t**2 + 36 wrt t.\nAnswer: 164*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 19. Let s be a(18). Let b be ((-3 - -6) + 136)\/s. Let v be (b + (-8)\/(-2))*-1. What is the highest common factor of v and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3695842 days?\nAnswer: 31932074880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583323 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 147568740 to the nearest ten thousand.\nAnswer: 147570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -13*z**2 - 6*z - 6. Let i(g) = -14*g**2 - 7*g - 7. Let n(p) = -6*i(p) + 7*s(p). Let b(y) = 2*y**2. Give b(n(a)).\nAnswer: 98*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2, -176, -7, 0.06?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 2)*(149*o - 122*o - 325*o) to the form u*o + s and give u.\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25744137 divided by 8581379.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3958, 3962, 3968, 3976, 3986, 3998?\nAnswer: 4012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99577\/7 + 14225. What is the biggest value in 1765, -4, j?\nAnswer: 1765","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24885 and 10526355?\nAnswer: 10526355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1671, -1624, -1479, -1188, -703, 24?\n\"Answer: 8*l**3 + l**2 - 12*l - 1668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5657*j**3 + 5650*j**3 + 96*j**2 + 5666*j**3 - 16970*j**3 - 96*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 + n**2 + n. Let i = 20 - 16. Suppose -i*r + 30 = -26. What is the lowest common multiple of z(-1) and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 5*b + 5. What is the least common multiple of x(-6) and 119?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669582143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*j**3 - 182*j**3 + j**2 - j**2 + 93*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 866156947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 18*g**2 - 23*g - 24. Give w(16).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-208)\/24)\/13*-11928. Does 41 divide 1*(-2)\/9 - g\/(-63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -493*i + 13797. Give y(28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-12)\/(-40))\/(-3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 1. Let l be 7462*(-6)\/132 + 4\/22. Let b = -338 - l. Let d(o) = 6*o**2 + 8*o - 8. Determine b*d(h) - 8*r(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -8. Let t = -3 + n. Calculate the remainder when 2 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y + 12. What is the units digit of (63\/y)\/(12\/128)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2039 + -2016.6. Let w = -23.42 - -47.55. Let m = n - w. What is m rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 0.3809.\nAnswer: 0.1809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-64)\/30 + 7 + 2\/15. Suppose -q - t*p = -367, 371 = q + 4*p - 3*p. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -598, -573, -544, -511?\n\"Answer: 2*m**2 + 19*m - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1996 or 6.06?\nAnswer: -3\/1996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 + -62. Calculate the remainder when g is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**3 - 16*n**2 + 23*n + 16. Let d be j(-5). Calculate the highest common divisor of 1996 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4170975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Convert 74038.57 centimeters to millimeters.\nAnswer: 740385.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207040436722822 - -0.5.\nAnswer: -207040436722821.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-25)\/(-90))\/(((-15)\/(-42))\/((-3)\/(-2))). Let w = 0.063 - -0.267. Let p = w - -0.07. Which is the third biggest value? (a) 1 (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t)**47\/(t*t**1*t*t)**(-4\/9))**(-9) assuming t is positive.\nAnswer: t**(-862)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002288314 to seven decimal places.\nAnswer: -0.0000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12735 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 2*m + 3. Let g(u) = -3 + 0*u - u - 5. Let k be g(-7). Let y(x) = -22 - 17 - 3 + 64 - 21. What is k*f(h) + 2*y(h)?\nAnswer: h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:22 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a + 3 - 3)*(1 + 2 - 5) + a + 2 - 2 + 0*a - a + 3*a + 5*a - 4*a + 0*a + (-5*a + 4*a + 3*a)*(-1 + 0 - 1) - 3*a - 3*a + 4*a)*(2*a + 0*a + 4*a).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nininly. What is prob of sequence ynl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10726*w**2 + 10726*w**2 + 148*w**3 - 130*w**3 - 21452*w**2.\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16*q - 21. Let n be y(-7). Suppose -4*w - 499 + n = 0. Let j = w + 219. Is 39 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.7 * 385.65\nAnswer: 4512.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -239\/5 + 1678\/35. Suppose -q - 6 = 2*m - 2, 6 = -q - 3*m. Let s = -0.31 + 0.71. Which is the closest to -8? (a) q (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/2 + 8\/28*-14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(30\/9))\/(2*-6). Let g = -0.1 - 0. Is t <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 7 = x - 2, -272*v - 64*x + 24 = -274*v + 224 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 1154 + 1846. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53915467 to the power of 1\/2, to the nearest integer?\nAnswer: 7343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 151209583*d*j - 35481229*d wrt j?\nAnswer: 151209583*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 74*a + 1. Suppose 0 = 2*q + 3*q - 15, 2*q - 46 = -5*m. Let s = 10 - m. Is o(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 13) in base 10?\nAnswer: -372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/9 + -2\/9. Factor -4\/3*h**2 + k + 1\/3*h - h**3.\nAnswer: -(h + 1)**2*(3*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4754.2 to the nearest 100.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555\/45 + (-9 - 5).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -1110*h**4 + 62*h**3\/3 - h**2 + 10*h - 68. Find the third derivative of q(y) wrt y.\nAnswer: -26640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1372 and 2260300?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62508, -62515, -62522, -62529, -62536, -62543?\nAnswer: -62550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -10, -5 in ascending order.\nAnswer: -10, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18007 = -501*u - 213*u + 26261 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.5. Let q = 68 - 51. Let u = -0.0231 + -4.9769. Which is the second biggest value? (a) g (b) u (c) -3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216725652 and 3432?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1519 + -1312. What is the highest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4167906 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.8127 - 36.6727. What is the biggest value in 3, q, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*z - 18, 2*i - 2*z = -2*i - 18. Let w = 6 + i. Let o be w\/(-9) + (-2)\/3. Which is greater: -1\/12 or o?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.249 plus -152465223?\nAnswer: -152465222.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1440*k + 3393?\nAnswer: 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815*u - 8562 - 21642 = -24*u for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 55\/2 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 673, 1345, 2017, 2689, 3361?\n\"Answer: 672*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.09, -4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*h**4 + 8 - 8 + (3*h - 3*h - 2*h**4)*(6 - 6 + 4).\nAnswer: -65*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3990 and 105678?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8 - 54\/(-24). Let k(l) = -6*l + 1 + 2*l**2 - 3*l**r + 2*l - 2. What is k(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1457 + -1364. What is the remainder when 2045 is divided by y?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2 + 2*d - 6. Let u(x) = -x**2 + x - 1. Let c(m) = -b(m) + 4*u(m). Let t = 9 + -12. What is c(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 23) + (-86 - (118 - 161))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6882749?\nAnswer: 823, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*u**2 - 36*u**2 + 2*u - u + u.\nAnswer: -95*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -39*b**4\/4 - 121*b**3\/3 + 33. Find the third derivative of a(i) wrt i.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9522 = 2*y, 4*y - 236 = -260. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36727 is divided by 3261.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 456 and 532.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 6. Is i > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 198\/23555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2658*c - 888*c - 886*c - 891*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5982, -1714 in descending order.\nAnswer: 3, -1714, -5982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*((2*1*sqrt(77))\/sqrt(11))**2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**15)**(-43) assuming w is positive.\nAnswer: w**(-645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 481\/30 + -167\/10. Which is the closest to 58? (a) 5 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28a (base 14) to base 3.\nAnswer: -201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -14\/31593?\nAnswer: -14\/31593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/(((-6615)\/36)\/(-35))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k - 470 = 131*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 654*o + 7322. Let d be y(11). Let v = 21 + 9. Solve d*f - f = v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9376 - -13627. What is the highest common divisor of 117 and w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u - 69. Let t be x(-9). Which is smaller: t or -456?\nAnswer: -456","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.48 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597102817.\nAnswer: 19, 37, 47, 48337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -681, -6, -1 in decreasing order.\nAnswer: -1, -6, -681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 53042*r - 1803432. What is j(34)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4190.\nAnswer: 2, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-30) + (-53)\/(-5). Suppose 9*c + 112 = n*c. Suppose -2*i + 5*d = -30, -c + 11 = -3*i - d. Calculate the remainder when 59 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 477\nAnswer: 2385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 476925 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13447904 rounded to 4 dps?\nAnswer: -0.1345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67 - -4?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 1. Let p = 0.016 + -0.316. What is the smallest value in 2, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(-96)\/30*5\/(-14).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 12:35 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-1136)\/426)*4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*u**5\/5 + 74*u**4 + 586*u**3\/5 - 36588*u**2\/5 + 14656*u - 2240 = 0. Calculate u.\nAnswer: -20, 1\/6, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let l(d) = d. Let k be 504\/(-49) + 4\/14. Let n(o) = -o**3 - 11*o**2 - 12*o - 15. Let w be n(k). Calculate w*l(g) - 6*y(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19.7 * 30.75\nAnswer: 605.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -398*o**3 - 7212 with respect to o.\nAnswer: -1194*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178546?\nAnswer: 2, 89273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 416 = -8*m. Let x = 184 + m. Let 3*p**3 - 6*p + 62 - x - 4*p + 6*p**2 - 5*p = 0. Calculate p.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from {d: 2, l: 1, n: 5, b: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 9 - 5. Which is the nearest to -0.1? (a) 3 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0264 + 0.8958282.\nAnswer: 0.9222282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49129, 98258, 147383, 196504, 245621, 294734, 343843?\nAnswer: 392948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2977437\/125 - 414870833\/10500. Let r = -15691 - w. Let p = r + 9\/28. Put 3, 0.4, p in ascending order.\nAnswer: 0.4, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 132. Let w be l(-32). Let a(n) = 226*n**2 - 443*n**2 + w*n**2. Let z(k) = -11*k**2. Calculate z(a(r)).\nAnswer: -1331*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9198.\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-10 - (1 - 11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -4*q**7\/63 - 181*q**6\/540 - q**5\/90 + 20*q**4\/9 + 4*q**3\/27 + 2482*q**2. What is v in h(v) = 0?\nAnswer: -2, -1\/60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5571 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31960*a - 386 + 719 - 333 to the form n + t*a and give t.\nAnswer: 31960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1471 + -1471.001204. Round a to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4735229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 510382, 4083094, 13780460, 32664808, 63798466?\n\"Answer: 510388*c**3 - c**2 - c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 12:49 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9218022, -18436034, -27654044, -36872052, -46090058, -55308062?\n\"Answer: a**2 - 9218015*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3))**(-3)\/((r**(-1\/3)\/r)\/r*r)**(-50) assuming r is positive.\nAnswer: r**(-197\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13605, -2918, 7769, 18456, 29143, 39830?\n\"Answer: 10687*a - 24292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 78648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 5*g + 3. Let p be c(3). Is 2375\/45 - p\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4 = 2*i + 13, -3*q + 11*i + 87 = -q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2082 = 1055*z + 305*z - 25202 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 5*h**2 + 11*h**2 + (h - 2 + 2)*(h + 2 - 2) - h**2 - 7*h**2 + 5*h**2)*(6*h**3 + 0*h**3 - 4*h**3) - 5*h**5 + 2*h**5 + 2*h**5.\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l = 5*j - 30, j = -3*l. Let a = -1134 + 1136. Differentiate -1 + a - j - 24*z**2 with respect to z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1438, -1772, -1000, 884, 3886, 8012, 13268, 19660?\nAnswer: 27194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 6 = 0, g - 29809 + 29814 = -5*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 2100 = 0. Calculate the greatest common factor of y and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-1)\/12*2)\/(66\/1188).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 2. Let m be 12*((-9)\/12 + 1). Let g(b) = 2*b**2 + 3. What is m*u(p) + 2*g(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i + 34 = 4*r, 4*i = 20. Suppose y + r = 13. Let l = -5 - -18. What is the remainder when l is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36992, -36996, -37000?\n\"Answer: -4*h - 36988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -27 + 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + (-1 - -16) + 28 + -71 + 52.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 9\/8460704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**3 + 2*c**3 - c**3 + 1 - 4*c**3. Let f be j(1). Let w(u) = 24*u**2 - 4*u - 4. Let m be w(-1). Solve -m + 4 = -f*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/2 (b) 11 (c) 5\/4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r**2 + 11*r**2 - 10*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077764.\nAnswer: 2, 269441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + k)*(2*k + 3*k - 2*k)*(-5*k**2 + 4*k**2 + 0*k**2) + (k - 2*k - k)*(-k**3 - 2*k**2 + 2*k**2).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**2 + 15*n**2 - 15*n**2 + 39*n**3 + n**4 + 5*n**2 - 2 to the form u*n + t*n**4 + c + y*n**2 + p*n**3 and give p.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgk when three letters picked without replacement from kkadagggggsgdak.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 0*a**4 + 0*a**2 + 0*a + 2\/3*a**3 + 1\/2*a**6 + 0*a**5 + 2. Find the third derivative of r(p) wrt p.\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + -8. Suppose 0 = -5*d + 2*b - c, 4*d = 5*d + 2*b. Let t(j) = -j**2 - 7*j - 1. Give t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (16 - 17)) + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 5 - 5 - 33*v.\nAnswer: -27*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-10)\/(-8)*(-7)\/70. Which is the closest to -1? (a) u (b) 11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 4*a**2 + 4*a + 10. Give f(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/8316 and 211\/3534300?\nAnswer: 3534300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108947\/171 + -5780\/9. Let m = h - 4288\/57. Let g = m - -1142\/15. Find the common denominator of g and -37\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*d + 48, -u + 3*u = d - 36. Let k be (-9)\/27 + d\/(-6). Let p = k + 5. Solve p = 5*r + y - 12, 5*r - y = 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/201, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -7, 13, -11, 4 in increasing order.\nAnswer: -11, -7, -4, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1 + 43*q + 1 - 42*q - 8. Calculate w(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 256 = 7*t. Suppose -5*c = 3*u - 1599, -3*u = t*c - 29*c - 957. What are the prime factors of c?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, v: 1, r: 7, x: 1}. What is prob of picking 1 v, 1 t, and 1 r?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12021 + -12?\nAnswer: 12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -203 + 435. Let s(d) = -10 + 10 - 227*d**2 + c*d**2. Let i(k) be the first derivative of -14*k**3\/3 + 4. Determine s(i(f)).\nAnswer: 980*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, -233, 14, 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -112500 divided by -625\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*y**3 + 1293*y**2 - 6*y + 49.\nAnswer: -24*y + 2586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.057031 - 0.0584. What is c rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*z - 2*z + 8*z + 3*z + 2*z - 3*z + (2 - 2 + z)*(3 + 0 - 4) + 1 - 1 - 2*z + 6*z - 4*z + 0*z in the form g*z + p and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*z**2 - 5)*(-2 + 0 + 1)*(0 + 2 + 2)*(2*z + z - 5*z)*(-z**2 + 3*z**2 - z**2).\nAnswer: -24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*o**3*w**4 - 4*o**3*w**2 - 7*o**3*w + 5*o*w**3 + 2*o*w wrt w?\nAnswer: 336*o**3*w + 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -5*p - 6. Suppose 2*s - 13 = -3. Factor -s*g**2 + 1 - 6*g - g**2 - 2*g**p - 3.\nAnswer: -2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -31. Let o = c - -29. Suppose 0 = -5*m - 5, 2 = -g + 46*m - 49*m. Solve o = 3*y + g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 228 = -4*p, -2*p + 29 = 4*v - 193. Suppose o + 3 - 28 = -f, -23 = -o - 2*f. What is the greatest common divisor of v and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.83, 1\/5, 1436, -6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 511\/12 - 171\/4. Let a = -153 - -177.04. Let l = a + -24. Sort -0.3, l, b.\nAnswer: -0.3, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/479 + -1447\/2395. What is the third biggest value in -3, -0.3, -6, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313648520 divided by -134440?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 40*r**2 - 41*r - 81. Suppose 27*t + 273 = 20*t. Calculate x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82101 minus 0.1?\nAnswer: -82101.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3931? (a) 0.11 (b) 1\/6 (c) 3\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 h when four letters picked without replacement from uhhusnuhnnhhhnbu.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 179 - 179 + (3 + 1 - 2)*(2 - 2 + 2*i) + (-4 + 2 + 0)*(0*i + 4*i - 2*i) - i - 2*i + 4*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 80 (c) -7 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 43 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + -5 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2531214 to the nearest integer?\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1307786088 divided by 108982174\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**4\/12 - 8*f**3\/3 + 29*f**2\/2 + 26*f. Let a be o(14). What is the closest to 0.1 in -0.05, a, -0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115884913, 231769812, 347654711, 463539610?\nAnswer: 579424509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100020221 + -2?\nAnswer: 100020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 557 - 5?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**4 + 76*b**3 + 222*b**2 + 220*b - 317. Factor h(o).\nAnswer: 4*(o + 1)**2*(o + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-3 + 3))\/((-2)\/(-22)). Let p be -1 + (z\/12 - -3). Let a = -180 - -181. Sort p, -3, a, -5 in increasing order.\nAnswer: -5, -3, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(8\/(-2))\/2. Solve 0 = -a*n + 3*m - 10, m = -3*n - 0*m - 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 35 + 19 + (-1 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 2 + 6*i - 3\/2*i**2. Differentiate p(z) with respect to z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6. What is the remainder when x - 2\/((-6)\/69) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2. Let l(u) = 7*u - 1. Let g(x) = -12*x + 2. Let z(b) = 3*g(b) + 5*l(b). Let h(n) = 7*n - 3 - n - 2. Let q(o) = h(o) + 5*z(o). Calculate r(q(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from awapwkawwa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 734 = -649 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 4*h**2 + 15*h - 1. Let b be k(-6). Which is smaller: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2*6)\/(sqrt(448) - (sqrt(448)*-1 - sqrt(448))))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 3, 5, 0, -77, -24 in ascending order.\nAnswer: -77, -41, -24, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**3\/3 - 5*k**2\/2 - 5*k - 5. Give y(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4358 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 6. Let k = -16 - -8. What is the remainder when i(k) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229468 - 229737.226. Let j = l + 269. Let z = -0.026 - j. Which is the third biggest value? (a) -2 (b) z (c) 2\/15 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.63 or 1464640.9?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5 + 0 + 0 - (8832\/(-23) + -25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*q*y - 4*q + 82*y**3 + y - 765 wrt y.\nAnswer: -9*q + 246*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/(440\/320)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-1)*i)\/i)**(-39)\/(i**(-7)*i\/(i*i**5)))**(10\/3))**10 assuming i is positive.\nAnswer: i**(-2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o**2 + 9*o + 2. Let t be d(1). Let a(h) = 10*h - 10. What is the remainder when 27 is divided by a(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52933454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2504*t + 26277 - 6510 = -107174 + 1741 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 - 47*r - 20880.\nAnswer: (r - 522)*(r + 240)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 4*j**2 - 4*j + 4. Let q be g(-4). Let t = q - 14. What is the third derivative of 4*s**3 - t*s**3 - s**2 - 43*s + 43*s wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (-2 + sqrt(171)*-2 + (sqrt(171) + sqrt(171) + 2)*-4 - 6*(sqrt(171) + -6*(sqrt(171) + 1)))**2).\nAnswer: 3120*sqrt(19) + 69077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = u - 10, -2*g = -5*g - u + 8. Suppose 0 = -g*r - 2*r + 3*h + 14, 0 = h + 2. Let q(f) = 9*f**2 - 3*f + 1. Let y be q(1). Solve p = r - y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*s + 10, -j = 6*s - 3*s + 15. Suppose -13*b = -j*b - 65. Let k(l) = l**2 - 5*l - 6. What is k(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946.083 tonnes in nanograms?\nAnswer: 946083000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.323 + -0.323. Let o = 11.3 + -16.6. Let x = o + k. Which is the closest to x? (a) -3 (b) -2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1266 and 7704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 = -28*r - 277 + 650 - 285 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 + -209 - (5*-1 - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119 - 114. Let b = -1.4 + 2.4. Sort 0.1, i, b.\nAnswer: 0.1, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -919.8 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5 + 4. Let i be 280 + -1 - (-3 - x). Let o = -583\/2 + i. Calculate the common denominator of -29\/7 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -161d + 2335?\nAnswer: d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvvxxvxxvvvvvxxxxv. Give prob of sequence xv.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 33, 3 in descending order.\nAnswer: 33, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, -13, -35, -37, -13?\n\"Answer: k**3 + k**2 - 46*k + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27140 is divided by 819.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1485\/1188*(-348)\/15.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 smaller than -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 2*t**2 + t - 3. Let j(z) = -z - 15. Let b be j(-12). Let q be l(b). Calculate the greatest common divisor of q and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*y + 5, 6*j + 4*y + 4 = 2*j. Let g(x) = -2*x**3 - x. Let v be g(j). Let q(l) = -l + 2. Calculate q(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2 = -h, 5*a - 2*h = -h + 3. Let l(s) = 11*s - 1. Let v be l(a). Find the common denominator of (-2)\/v - 315\/(-50) and 19\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {o: 2, r: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 9*m)*(-102*m + 163*m - 83*m).\nAnswer: 198*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6072 + -30361\/5. What is the closest to -0.3 in 0.1, c, 4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63389.66533 to the nearest integer.\nAnswer: 63390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-15)\/45)\/(-1 + 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 34*v - 99*v + 58*v as w*v**2 + j*v + b*v**3 + s and give j.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 10*b**2 - 9*b - 18. Let p be h(11). Suppose -c = -p*g + 32, g + 4*c + 23 = 2*g. Sort g, 2, -5, 5 in descending order.\nAnswer: g, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 740 divided by -148.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*o + 26 - 26)*(o - 5*o + 6*o)*(2 + 0 - 4) as j + w*o**2 + l*o and give w.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 10*m - 50 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 4*r + 4*r)*(r**2 + 0 + 0) + (3*r**4 + 3 - 3)*(-13 - 15 + 13 + (-5 + 0 + 3)*(1 - 2 + 0)).\nAnswer: -37*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 39*q = 40*q - 5785, r - 3*q - 1945 = 0. What are the prime factors of r?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7562987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 11 + 23 + -22\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62617*m + 68804 wrt m?\nAnswer: 62617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/55 (b) -134 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 21*g + 54 + 44 - 21*g + 6 + 2*g**3.\nAnswer: 2*g**3 - 2*g**2 + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (3 - (-4 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(425) + -3)**2 + sqrt(85)\/((sqrt(5) - (sqrt(245) + sqrt(245)*-1)) + sqrt(5)).\nAnswer: -59*sqrt(17)\/2 + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222550 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43805 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 2194*s - 2581*s)*(-1 - 1 + 5) as n*s + v and give n.\nAnswer: -1161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2489 - 2463 = -2*n, -3*l + 4*n + 37 = 0. Which is the nearest to -2\/5? (a) l (b) 0.07 (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x + x - 6*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27424 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 6*w + 4. Let l be b(-7). Let o(r) = -690*r + 672*r + 4*r**2 - 3*r**2 + 43. Let s be o(15). Put l, s, -15 in increasing order.\nAnswer: -15, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10704.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from jjhhjjjhjjjjhj.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u + 2. Suppose -r + 1 = -u. Let a be (-1)\/(-5) + 836\/(-605) + 14\/77. Put a, 1, r in decreasing order.\nAnswer: r, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 300.236 + -0.236. Let x = 300.2 - j. Let n = 9\/14 + -13\/14. Which is the second smallest value? (a) -1\/2 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 32*r - 16*r + 6*r + 22*r + 25. Is a(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 9:43 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -19829.\nAnswer: 10\/19829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 9795194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/50*(-2730)\/(-1274))\/((-6)\/50)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 6*m**2 + 2. Let i be f(-6). Let k be 7 - i\/(-6)*-3. Suppose 3*j + 0*j - k = 0. Solve 2*l + j*l = -16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624917863159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -133.8 times -346\nAnswer: 46294.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11807 - -24637. What is the remainder when q is divided by 207?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k. Let y be a(3). Let n = -1 + 9. Suppose -3*b = -d + 4, -2*d - 4*b + n = -0. Solve -c + d*c = -y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519946 is divided by 173290?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Let i(o) = -22*o**p - 4 + 21*o**2 + 8*o + 0*o. Calculate i(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -291999547\/11413 + 1815686\/113. Let f = q + 9517. What is the common denominator of f and -8\/5?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - p + 4 = 0, 4*f - 3*p = p - 16. Suppose f*c + s = -2*c + 3, -5*c - 4*s + 15 = 0. Is (c*6)\/(4 - 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*g**2*o + 2*g**2 - 15*g*o - 3759*g - 5571333*o wrt g?\nAnswer: 8*g*o + 4*g - 15*o - 3759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -27118553?\nAnswer: -27118553.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 6*f + 390. Does 39 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 at most 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -263042663 - -2?\nAnswer: -263042661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3286 + -0.3286. Put d, -0.3, -6, 0.67 in descending order.\nAnswer: 0.67, d, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p + 6*p - 5*p - 2*p**2 - p to the form a*p**2 + s*p + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 8. Suppose -5*p = -h*k + 282 + 561, -p + 1222 = 3*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43890 divided by -35\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 3*t)*(-2 - t**2 + 2) + (-3*t + 3*t + 3*t)*(-3*t**2 + 2*t**2 + 0*t**2) - t**3 + 5*t**3 - 2*t**3 as n*t**2 + q*t**3 + a*t + f and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**12\/h)*h**(-2\/19)\/h assuming h is positive.\nAnswer: h**(-211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 2\/3*g**3 + 2*g**5 + 0*g**2 + 0 - 8\/3*g**4 = 0 for g.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29988.2+-1.992177\nAnswer: 29986.207823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*q + 47*q + 36*q as c*q + r and give c.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/((-102)\/(-3)))\/(2*170\/(-200))?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23756768, 23756760, 23756750, 23756738, 23756724, 23756708, 23756690?\nAnswer: 23756670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 x when four letters picked without replacement from cxzcxzxyzrx.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1190*v**3 + 1252*v + 597*v**3 + 4*v**2 + 628*v**3 wrt v?\nAnswer: 210*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(2\/11))**(-15) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -21 + 47 - 26 - 2*r. Let m(l) = -4*l. Calculate a(m(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54883 and 1424639?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -23*t**3 + 15*t**2 + 11*t + 3. Let d(g) = -25*g**3 + 14*g**2 + 10*g + 2. Let s(m) = 7*d(m) - 6*o(m). Find the second derivative of s(v) wrt v.\nAnswer: -222*v + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7731430 - -7?\nAnswer: 7731437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 647065 = -619*w + 641*w + 69125. What are the prime factors of w?\nAnswer: 2, 5, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4349887 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwmwjamjmwp. What is prob of sequence amwj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.1775.\nAnswer: -0.5325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(-1 + sqrt(11)) - (sqrt(99) - ((sqrt(99) - (sqrt(99) + 2)) + 2)))**2.\nAnswer: -64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -204 + 905. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22344 and 161063.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 10*h + 15. Let q be x(11). Suppose 0 = -z + 2, -5*z - 178 = -0*o + 4*o. What is the units digit of q\/14 - o\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 12 + 8. Suppose -a*z = -z - 11088. Let x = -10304 - z. What is x rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 819\/(-52)*(-7 + 119\/21). Calculate the highest common factor of 33 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 170*z + 2416. Calculate p(-68).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -7) + 6 + -2 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/((-10)\/6). Let o = -0.46 - 7.74. Let f = -5.2 - o. Sort f, s, -0.06 in decreasing order.\nAnswer: f, s, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -187?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2940 and 169\/1176.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -1544?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9662615 is divided by 98.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 571 - 634 = 0. Suppose -5*m = -6 - 4. Suppose 2*i - i - m = 0. Calculate the remainder when t is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, m: 7}. Give prob of sequence mmmu.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000101000000000 (base 2) in base 11?\nAnswer: 69865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-11)\/(-2 + 3). Let u be (12\/10)\/((-9)\/45). Let z be (u\/(-9))\/(7\/126). Is f at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, 0.043, -1, 8\/9?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 + 0?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1161 and 202229.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 11. Let j(m) = -3*m - 21. What is the remainder when j(-20) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 7:22 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**7\/1260 + x**5\/30 - x**4\/9 + 42*x**2 + 117. Factor q(k).\nAnswer: -k*(k - 2)**2*(k + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/39)\/((-4 + (0 - 0))*7417\/178008).\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 411993177 to the nearest integer?\nAnswer: 20298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/7, 2\/7, 4 in increasing order.\nAnswer: -15\/7, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0264514 minus 228803?\nAnswer: -228803.0264514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 28, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -46 + 0*h**2 + 0*h**5 + 23\/7*h**7 + 0*h**6 - 1\/2*h**4 - 35\/3*h**3 + 0*h. What is the third derivative of j(y) wrt y?\nAnswer: 2760*y**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.295 - 59.095. Let n = r + 67. Round n to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230771 (base 8) in base 10?\nAnswer: 78329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 2. Suppose -c + 4 = 2*w. Let j be (((-18)\/8)\/3)\/((-522)\/(-16)). Is w >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) - sqrt(1539)*-2) + 1 + -5)**2 - ((sqrt(19) - sqrt(133)\/(3*sqrt(7)))*5 + -4).\nAnswer: -658*sqrt(19)\/3 + 13871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -2 + 0 - (-7 + (-14 - -3)) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19646, 160007, 540992, 1282913, 2506082, 4330811, 6877412?\nAnswer: 10266197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88919\/2 or -44461?\nAnswer: -88919\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3.7. Let v = -2325286\/13 + 178956. Let w = -88 + v. Which is the second biggest value? (a) -5 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021200220 + -1?\nAnswer: 1021200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - 169. Let u = -99.3 - n. What is u rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**3 + 2*t**2 - 4*t + 5. Let r be j(2). Let h be (r\/14)\/((-6)\/4) - 2. Let b be (-4)\/(-6) - (-22)\/(-6). Sort h, -3\/5, b in ascending order.\nAnswer: b, -3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3106 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15120058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-70) - 716\/(-7). Calculate the highest common factor of z and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66011 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*r + 168*r + 67200 = 0. What is the highest common factor of 126 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -3, 0, -1, -3\/52, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-6))\/20*5712\/459.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c = 2*x - 1476, -4*c = -4. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 4*v + 4*v - 16*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 1. Let x(m) = 7*m - 14. Let n(i) = -6*k(i) + x(i). Let l = 6 + 7. Suppose -l = -3*y + 2*d, -2*y + d = -0*y - 9. Determine n(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11821152 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -328, -379, -500, -721, -1072?\n\"Answer: -5*k**3 - 5*k**2 - k - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778 is divided by 111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(6\/7)\/((c*(c**(-6)*c)\/c)\/c))\/((c*c**(2\/5)*c*c)\/c**(-4)) assuming c is positive.\nAnswer: c**(-19\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 + -10?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/48 and 167\/30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.2 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5928438 rounded to the nearest one hundred thousand?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + x + 2, -80*q - 4*x = -83*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - z = -724 + 679, 4*r + 42 = -2*z for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 21. Let b be 3\/(-2) + 169\/26. Suppose -b*m - 10*m = 0. Determine u(m).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2 - 1313258*u + 1313256 = 0. Calculate u.\nAnswer: 1, 656628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 63861439 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.1 - 234.1. Let c = -150 - u. Let z = 67.000126 - c. Round z to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 33, 4, 3 in increasing order.\nAnswer: -64, 3, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(154)*2 - sqrt(154))\/sqrt(11))\/((sqrt(14)*1)\/sqrt(7)))**2.\nAnswer: -4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-59 - -62 - (4 + 2)) - -63.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 + 4*n - 1. What is the remainder when l(-3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51966989831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 2*g - 2*g + (-3 + 3 + g)*(-3*g + 2*g - g))*(60 + 53 - 156).\nAnswer: 172*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdz when three letters picked without replacement from dzukkkouokkukdkzzku?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 24. Let o be h(-9). Let m(r) = -r**3 - 2*r**2 - r + 2. Let z be m(o). Suppose 5*d = z + 1. What is the smallest common multiple of d and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226866140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(1\/5) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/514, 2, -43, -6 in descending order.\nAnswer: 2, -1\/514, -3, -6, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*q + 5*z, -3*z + 20 = 4*q + 2*z. Solve q = 2*v + 2*v - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-16)*((-9)\/4)\/((140\/32)\/(-1))\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/2 + 511542*b - 2046192.\nAnswer: 3*(b - 4)*(b + 341032)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*s + 5*s + s)*(-1 + s + 1) + 23*s**2 - 18*s**2 + 110*s**2)*(1 - 1 + s).\nAnswer: 118*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k + 170. Suppose -4*m - 5*c + 58 = 0, -m = m + 5*c - k. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 0*o + 1\/2*o**2 - 8\/3*o**3 + 45. Let l(z) = 2*z**2. What is l(c(t))?\nAnswer: 128*t**4 - 32*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 1*(sqrt(242) + 1) + sqrt(242))**2.\nAnswer: 66*sqrt(2) + 2179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 80, 157, 252, 359, 472, 585, 692?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 0.5, -20?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 128\/22 + 2\/11. Suppose p*r = 2*r - 16. What is the tens digit of (-6)\/(-24) + (-59)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s + 2. Let x(o) = -26*o + 10. Calculate -16*c(w) + 3*x(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w = 286. Suppose 134 = o - k - k, o - 140 = -k. Let m = o + w. Let c(i) = i + 11. Determine c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y - 4. Let h be r(-6). Let c = 16 - h. Let t be (-2524)\/(-10) + c\/10. What is the greatest common divisor of t and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*z - 495 + 155, 3*z + 15 = 0. Let d = g - 38. What is the remainder when 127 is divided by d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1624*-59.916\nAnswer: 97303.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-9))\/(3\/(-45)). Put h, -6, 2 in increasing order.\nAnswer: -6, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5857527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = -3. Suppose -s + 8 = -0*s - 2*k, s - 5*k - f = 0. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 84 - 18. Let o be (-3)\/(-12) - m\/(-8). Suppose -2*k = -3*f - 227, o*f = -3*k - 0*f + 348. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 + 20 = -8*b + 21 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + u**2 + 2 + 2*u**2 + 2*u**2 - 5*u**2 + (-u - 3*u + 2*u)*(-2 + 2 - 2*u) + 142*u**2 + 1 + 9 - 11 as k + y*u + w*u**2 and give w.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 + 401*w + 15233. What is s(233)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 63*b - 23*b - 33*b - 3 - 13.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 (base 12) in base 14?\nAnswer: 1db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72.1, 0, -0.4, -4, 0.02, -18 in increasing order.\nAnswer: -18, -4, -0.4, 0, 0.02, 72.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 2. Let i be (-27)\/4 - 6\/(-8). Let h be v(i). Solve 4*o - h = -0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 7, d: 2, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54, -130, -206, -288, -382, -494, -630?\n\"Answer: -p**3 + 6*p**2 - 87*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42597.54 litres in millilitres?\nAnswer: 42597540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 1556500*i + 302836531250.\nAnswer: 2*(i + 389125)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18469499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c - 14. Let i be d(5). Sort i, 3, -3 in ascending order.\nAnswer: -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + b + 2*b + 1 = 0, 3*d = -b + 9. Let z be (0 - -2) + 3 + d. Factor 172*y**2 - 29*y**3 - 324*y - 10*y**2 - z*y**3 + 21 + 3*y**4 + 222.\nAnswer: 3*(y - 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -43. Let d = 48 - p. Let h = 55 + -39. What is the smallest common multiple of h and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:58 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**4 + 12*d**3 + 2*d**2 + 35983*d wrt d.\nAnswer: 36*d**2 + 72*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019135836 to 4 decimal places.\nAnswer: -0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 + 22*j\/3 + 7.\nAnswer: (j + 1)*(j + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/((-4*sqrt(72))\/sqrt(6)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4804, 4800, 4796, 4792, 4788, 4784?\nAnswer: 4780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7128480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwarhwhhha. Give prob of picking 3 h.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-119)\/(-266))\/(31\/(-589))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bypybppypbpppbpcc. Give prob of picking 1 c and 2 b.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -296040*g**4*k*y**2 + 49*g**4*k - 9*g**2*k*y - g**2*y**2 + 2*g**2*y - 2*g**2 + 735*g*k*y - 2*k*y + 8*k wrt g?\nAnswer: -7104960*g*k*y**2 + 1176*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 92. Suppose -8 = 10*c + f. Let a(h) = -h - 6. Calculate a(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/2, -3, -27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43242122 - -2?\nAnswer: 43242124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22926577 and 7688.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*d = 4*b - 68*d - 5, 11*d + 15 - 56 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -1 + -2 - (-3 + sqrt(208)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 13*x**4\/24 - x**3\/3 + 3*x**2. What is the remainder when q(6) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 975\/(-4 + 19) - 14 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4276 is divided by 609?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 434 = -4*d, 3*d = m + 195 + 133. Suppose -d = -5*l - 5*l. Suppose -4*x = -2*a + a - 53, l = 3*x + 5*a. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*d - 22 = 0, -5*k + k - d + 77 = 0. Let f = 5 + -5. Find the first derivative of f + 5 - 47*n**3 + 44*n**3 + k*n**3 wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 at most 211\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 25*m**2 - 6*m - 6. Let g be v(-25). Let q = 378 - g. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-24 - (-34 - -18)) + (27 - -1) - 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*s + 3245 = 0, 5*f - 5008 = -s + 363. Suppose 8*o + 5*m = 3*o + f, -m = -5*o + 1093. List the prime factors of o.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 - 16 = 5*c - 3*g - 28, 3*c - g - 24 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10835 is divided by 405.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1963315 is divided by 170?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*a - 29, -2*q - 6*a = -36 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.16 + 0.16. Let y = 13 + f. Let o = 0 - y. What is the third smallest value in -1\/8, 5\/6, o?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/12)\/(4\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 6:06 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 90 - -5?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184885 is divided by 191?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 43. Let u be l(43). Factor 0*w + 0*w**4 + 0 + u*w**2 + 2\/7*w**3 - 2\/7*w**5.\nAnswer: -2*w**3*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 47894517 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5326770903?\nAnswer: 3, 1775590301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1430965 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-4) + (-1)\/(-4). Let i = 24 + -20. Solve -l = r*l - i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, s: 3}. Give prob of sequence szss.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1280*u + 366. What are the prime factors of n(2)?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12392.\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2*4\/25. Let y = -801 - -801. Which is the nearest to y? (a) -4 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - 1 + 1)*(36 - 86 + 14)*(-524*j + 1181*j - 555*j) as d + p*j**2 + z*j and give p.\nAnswer: 7344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knnnerktnnke. What is prob of picking 1 t, 1 e, and 2 k?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-13))\/(20\/24*9)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*t**3 + 26 - 7 - 9 wrt t.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.012 (b) 25171\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17204 is divided by 239.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 55, 273, 829, 1891, 3627, 6205, 9793?\n\"Answer: 28*p**3 + p**2 + 19*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5)*(9 - 166*(-10)\/(-184)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6032\/10 - -12 - (-6)\/(-30). What is the greatest common factor of 30 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3319 - 42031141.\nAnswer: -42031140.6681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 0, -2*y + 5*y - 4*t - 253 = 0. Suppose 2*h + y + 103 = 4*x, -5*x + 240 = -5*h. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48307 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mbmbbvbwvvbvw.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.32 - 0.02. Let d = 2131\/7 + -304. What is the fourth smallest value in d, 0.1, -1, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5*k**4 + 14*k**4 + 2*k**2 + 164 in the form b*k + n + w*k**2 + c*k**4 + j*k**3 and give n.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 31 = o. Suppose r + 27 = 5*s, -4*s - 4 + 28 = -2*r. Suppose f - g - 8 = 0, -7*g = -s*f - 5*g + 43. What is the remainder when o is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868575221 to the power of 1\/2, to the nearest integer?\nAnswer: 43227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (514\/2)\/((6\/(-22))\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3208*l + 12328*l - 2977*l + 2848*l + 7457*l in the form u + d*l and give d.\nAnswer: 22864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 + 0 + (6 - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*u - 364. Suppose -j - 5*l = -28, 4*j - 24 = -2*l + 34. Calculate the highest common factor of j and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5 + 0 + q - 3 + 0*q. Let u(m) = -2*m - 5. Let z(x) = 9*g(x) + 4*u(x). Give z(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*k - c, -14*k + 10*k + 3*c - 26 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120215731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w**3 + 3*w + w**2 + 0 - 5 + 0 + 4. Is f(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90315 (base 10) in base 2?\nAnswer: -10110000011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12926 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13)\/(-39))\/(4\/12*-1). What is the nearest to -2\/3 in m, 1\/3, -22, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.44 + 0.06. Let k = -0.69 - -26.69. Let u = k - 29. What is the nearest to -2 in u, g, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.60704748 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4213.948cm?\nAnswer: 42139480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6 + 3131*i + 0 to the form t + l*i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 778\/47 smaller than -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 359015 by 32.\nAnswer: 359015\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 1305*t**3 - 1286*t**3 + 5079*t**3 - 1212*t**3 - 1298*t**3.\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*g + 2*g + 4 = 0, 22 = 4*p + 5*g. Solve p*j - 28 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13449.3726 rounded to the nearest integer?\nAnswer: 13449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -217\/20 + 227\/20. Let -q*n**2 + 0 + n = 0. Calculate n.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924061.2 centimeters in meters?\nAnswer: 9240.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1474*j - 84035. What is w(57)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 92 + 374 = 4*q, -4*q + 279 = v. Suppose 95 = 5*x - q. Suppose -160 = -6*a - 2*a. What is the remainder when x is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 6, -0.3, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6572\/10*6\/4. Let f = -979 + d. Let l = 33\/4 + -419\/44. What is the common denominator of l and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 32*s**2 + 1. Give f(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30533 - 10156?\nAnswer: 20344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35649 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3338, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 + 11*l + 5. What is q(-6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77333177603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -219.3 - -0.34.\nAnswer: -218.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -264 + 3a91?\nAnswer: 3829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4245*o - 5182. What is v(1)?\nAnswer: -937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*f - 74459 = 65910. Is -366 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 2*f + 2. Let b be v(3). Suppose b*l - 75 = -0*l. Let a = -583 - -586. Calculate the remainder when l is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)\/a**(-2))**(-3)\/((a**(2\/5))**(-40)*a\/(a\/a**(-5))*a**(-2\/3)*a) assuming a is positive.\nAnswer: a**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + -16.06. Let d = z + 8. Let s = d - -11. Which is smaller: 1\/2 or s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.2 (b) -209 (c) 6\/125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 137*n + 1 - 131*n)*(2*n - 2*n - n).\nAnswer: -6*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 74*m**3 - 7*m**2 - 14. Let b(l) = 36*l**3 - 4*l**2 - 8. What is 7*b(d) - 4*v(d)?\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*j + 4 = 0, -2*j = -u + 2*j - 11. Let g(s) = 15*s**2. Let n be g(-1). Suppose 0*y = y - n. Solve -u*h = -5*m, -y = 3*m - 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 44)*(-302)\/(-604)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*m + 3*y + 6, -y - 22 = -5*m. Let b = m + -22. Let h = b - -72. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 + (-8)\/(-20). Suppose s = j - 29 + 9. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699167.\nAnswer: 7, 99881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/(-34) - (-3)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 45.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**3 + 3*g + 3. Let l be (23\/46)\/((-1)\/6). Let t(v) = -3*v**3 + 2*v + 3. Calculate l*t(p) + 2*x(p).\nAnswer: 3*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*u = 72*u + 3*w + 15, -3*u + 13*w + 65 = 0. Factor -2*x**2 - 1\/2*x**3 + u - 3\/2*x.\nAnswer: -x*(x + 1)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10843502951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 8:13 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyc when three letters picked without replacement from cccccccyccccc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, l: 8}. Give prob of picking 1 l and 3 h.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 972*r - 9755. What is n(10)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(13) - (sqrt(52) - (sqrt(52) + 2) - sqrt(13))) + sqrt(325) + 5.\nAnswer: 3 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w + 2051252 = 0. Suppose 0 = 2*c + w + 507187. Round c to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/(-30))\/((-4)\/(-10)))\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 9*x + 2. Let t(k) = 3*k**2 - 18*k - 3. Suppose 36*z + 18*z = -40 - 176. What is z*t(c) - 7*i(c)?\nAnswer: 2*c**2 + 9*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 222, 1, 9, -1641, 5 in descending order.\nAnswer: 222, 9, 5, 1, -1641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d. Suppose 4 = 29*z - 27*z. Let a(c) = 4*c - 2*c + 14*c + z*c. Give t(a(i)).\nAnswer: 54*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*m - 46*m = -28*m + 10288281. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38775 to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:56 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/7 (b) 0 (c) -4 (d) 2\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*z + 10 + 17*z - 67*z.\nAnswer: -105*z + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 - 2*i**2 + 3*i**2 + 3*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -30624922?\nAnswer: 1\/30624922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.028498 and -5.64.\nAnswer: -0.16072872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.718945 rounded to 2 decimal places?\nAnswer: 2.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2926)\/(-504) - 2\/8. Let o = -359\/63 + u. Let z = -0.2 - 0. Put o, -0.3, z, 3\/4 in ascending order.\nAnswer: -0.3, z, o, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 551, 216, -119, -454, -789, -1124?\n\"Answer: -335*h + 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 72\/(-324) + (-2)\/72. Which is the fourth smallest value? (a) 0.1 (b) -5 (c) t (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/((-12)\/(-3)))\/((-3)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 430191533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 5*b**2 - 8*b + 36. Let d be c(5). Let a be d*5\/10*19\/(-2). Solve a*m = 22*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x - 8 = 0. Let i(s) = 2 - s + 3 + x*s. Determine i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-93)\/(-84) - (-1)\/(-4). Let m be 18\/(-48) + (-266)\/(-112). Factor -20\/7*y - 6\/7 - l*y**m.\nAnswer: -2*(y + 3)*(3*y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17*i + 855 + i**2 - 885 + i. Let o be r(-14). Calculate the greatest common divisor of o and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 15) in base 9?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08905925, -7, -2\/15, 0.4 in increasing order.\nAnswer: -7, -2\/15, 0.08905925, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1749 or 2\/11?\nAnswer: -1749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-2\/3)))\/((n\/(n\/(n*n**(-1\/20))))\/n))\/(n**(2\/3))**6)**(-37) assuming n is positive.\nAnswer: n**(10249\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s = -145 - 375 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 55. Calculate the remainder when g is divided by (4 + -3)\/(2\/34).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -25. Let n be ((-7)\/h)\/(1\/6). Which is the smallest value? (a) -0.2 (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132383.6514 - 0.2.\nAnswer: 132383.4514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749a6e (base 15) to base 10.\nAnswer: 5550854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*g + 9*a - 7*a, -2*g = 5*a - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {i: 2, b: 2, y: 2, w: 2, r: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Product of 36.9 and -9.3.\nAnswer: -343.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1\/(-6)*(-1 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and 408901.054?\nAnswer: 408901.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 156032.\nAnswer: 156028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**6 - 2*u**4 + 24371366*u**3 - 2*u**2 + 9478136?\nAnswer: 240*u**3 - 48*u + 146228196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20251853387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -7*j**3\/3 + 5*j**2\/2 - 18*j. What is the remainder when q(-3) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -547403 and -14779882\/27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 2000*g**2 + 1 + 40*g**3 - 1 - 2002*g**2 in the form d*g + l*g**2 + p*g**3 + a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349133.\nAnswer: 349133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -185 - 2897850\nAnswer: -2898035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*r - 13*r - 1372. Let z = 484 - r. List the prime factors of z.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*o + 120, 7*t = 10*t + 4*o - 92. Calculate the smallest common multiple of t and 3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2 + 13655460*b - 27310936 = 0.\nAnswer: -3413867, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/(-16))\/(-30*(-10)\/2000).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuuiiuuiiii. What is prob of sequence uu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/7656 and -97\/88.\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 3. Let m be o(4). Let h be 8\/(-45) - 10\/m. Which is the closest to h? (a) 0.4 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389373 is divided by 127.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 125827 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410111.\nAnswer: 13, 31547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.126 - 4.126. Let s = -236\/7 + 48215\/1449. Let o = 5\/23 + s. What is the third smallest value in 0, o, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 3:49 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 9*i + 4. Let m be g(9). Suppose 0 = -5*u - n - 14 + 76, 2*n - m = 0. Solve -3*h - u = -4*r, 0 = 4*h - r + 6*r - 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5383.78 rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - 0. Let g be (-12)\/a - (-12)\/(-42). What is the nearest to 0 in -3, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 5*v**2 + 2*v - 10. Let q be c(5). Solve q*a - d + 19 = 4*a, 2*d + 6 = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**2\/2 + 1. Let p(v) = -30*v**2. Calculate u(p(r)).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**3 - 30*f**3 + 20*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*j = 3, 0*j + 24 = 3*i + 4*j. Solve -i*g = 4 - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131875464 a multiple of 1208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 7:59 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115572 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 3*m - 23. Let i = 47 - m. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/14900 and -71\/8940.\nAnswer: 44700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24250 and 250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 5*d + 1 + 24, 3*d - 89 = 4*b. Let c = b + 16. Let j = 1 - c. Solve j*k - 15 = -5*n, 5 + 2 = -3*k + 5*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 = 3*l + 2*z, 0 = -4*l - l + 2*z + 623. Let a(p) = -p**2 + 1071*p - 5304. Calculate the remainder when l is divided by a(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -122687*f**4*m + 10*f**2*m**3 - 43*m**3 + 907*m**2 - 8 wrt f.\nAnswer: -490748*f**3*m + 20*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, z: 2, u: 4, b: 1, o: 3}. Give prob of picking 3 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.15782798.\nAnswer: -0.47348394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -279190*t**2 + 1094*t**3 + t + 139592*t**2 + 139600*t**2 to o*t + w + x*t**3 + f*t**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 3. Let p be k(2). Let a be -5*(p + (-2)\/(-10)). Let n be (-800002)\/(-8) - 1\/a. What is n rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 27*x - 25*x + 2 - 11 = -2 + 9, -68 = -5*m + 14*x for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1420*((-198)\/30 + 3). Let s = v - -3385. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 25 = -x. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/(-60) + 9\/6)\/((-84)\/105).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 484*n**2 - 46*n - 484*n**2 + 27 - 295*n**5 - 29 wrt n.\nAnswer: -5900*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/6 + 1 + 108\/(-26). Is x at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 6. Let r(v) = v**2 - 2*v. Let m be r(z). Solve n - 2*l + 11 = 0, -l + 13 = -m*n + l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Suppose 5*u = g*b - 8607, 2*u + 2135 = b - 1306. Is 2\/(-3)*u\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52128, -103658, -155188, -206718, -258248, -309778?\nAnswer: -361308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/((n*n*n**(-1\/4)*n)\/n*n)))**2*(n*n*n*n*n\/n**(-3\/4))\/((n*n*n\/n**(5\/4)*n)\/n) assuming n is positive.\nAnswer: n**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1, -1, 1.5, -0.7, -1018 in ascending order.\nAnswer: -1018, -1, -0.7, -1\/3, 1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 477*-2\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 1120 = 17*h. What is the greatest common divisor of 100 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 694340, 1388702, 2083064, 2777426, 3471788?\nAnswer: 4166150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(16\/3)*z)\/z**(16\/7))**(-1\/33) assuming z is positive.\nAnswer: z**(-85\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -980380?\nAnswer: -1\/196076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/56 - -3\/8. Which is the nearest to 2? (a) -2 (b) -1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*4\/4)\/(4\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731582.4l to millilitres.\nAnswer: 731582400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.8096t to milligrams.\nAnswer: 51809600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 m when four letters picked without replacement from {q: 3, e: 8, w: 1, m: 3, x: 3}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 42. Let l be (50\/(-4) - -5)*(t + -27). Which is bigger: l or 194?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.075 - -1.975. What is the closest to 0.1 in -1\/5, 4, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1384 and 145824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 18*c**2 + 83*c - 455. Calculate b(-22).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 42 = 3*q - 9, 3*c - 5*q = 53 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 34. Let k(p) = -17 - 5 + 13*p - a. What is the units digit of k(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(48) - (-4 + sqrt(32)))**2 + 2.\nAnswer: -30*sqrt(2) + 369\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1384.6 - 815.7. Let o = -620 + j. Round o to the nearest integer.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 + 11 + -1 + -57. Let i = d - -81. Suppose 2*l + 4*n - 75 = -l, -i = -l - 4*n. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 25*t - 352021*t**3 - 12*t + 352013*t**3 - 3 to the form k*t**2 + c*t**3 + u*t + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 8*q - 22. Let x(u) = 4*u - 17. Let w be x(6). Let m = w + -22. Is y(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 1\/60*s**4 - 3\/100*s**5 + 0 + 0*s**2 - 2*s + 0*s**3 - 1\/210*s**7 + 1\/50*s**6. Suppose u(y) = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) + 0)**2 - (sqrt(11) - sqrt(132)\/(sqrt(192) + sqrt(12))) - (1 + (sqrt(11) - sqrt(11)*-2) + -3).\nAnswer: -64 - 19*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/19 (b) 1\/7 (c) 0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567062 is divided by 5846.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 2. Let p be n(2). Suppose 0 = -5*g + j - 13, 0 = g + p*j - 8*j + 14. Let c = 3 - g. Solve 0 = -c*q - z - 4*z - 15, q = -3*z - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(4)*6)\/(sqrt(162)\/sqrt(6)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/383, -0.1, 0.03 in decreasing order.\nAnswer: 0.03, -6\/383, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 0.3 (b) 2\/105 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -10*l - 27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19060 - 5432108\/285. Is l < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 721248\nAnswer: -1\/30052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -79, -174, -269?\n\"Answer: -95*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*s + 5. Suppose 9*u - s*u = 4640. What is u rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*k - 10*k + 27*k + (k + 5*k - 4*k)*(-1 - 3 + 1) + ((1 + 0 + 0)*(2 + 3 - 3) + 14 - 10 - 2)*(5*k - k - 3*k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, c: 2, s: 7}. What is prob of picking 2 p, 1 c, and 1 s?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-17)\/q)\/(q*q**(-1\/10)*q) assuming q is positive.\nAnswer: q**(-199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d + 5. Let w(g) = -2*g**3 - 15*g**2 - 22*g + 18. Let i be w(-4). Let j(y) = -13*y - 4. Determine i*j(l) - 5*r(l).\nAnswer: 18*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 2*b = -14*n + 2, b - 10 = -4*n. Suppose 2*m - n*z = 135, -18*m + 21*m = 5*z + 204. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1061, 2101, 3147, 4199, 5257, 6321, 7391?\nAnswer: 8467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31765 is divided by 211.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 41, 71, 103, 137, 173?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + 10\/5 + 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 + 5*x + 14. What is w(4)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 15*w**2 - 18*w + 35. Let q be a(14). Is (-121266)\/q - 32\/56 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Suppose x*g = -g + 5*g. Suppose l + 1 - 23 = g. Calculate the highest common factor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 103185937.\nAnswer: 5\/103185937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13417503 (base 8) in base 13?\nAnswer: -81aa73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times -0.23791\nAnswer: 0.0333074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 99549279 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(0 + (sqrt(363)*-1 - sqrt(363) - sqrt(363)) + (0 + sqrt(3))*-3 + 0))**2.\nAnswer: -1296*sqrt(3) + 139977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627.6279ml in litres?\nAnswer: 0.6276279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaa when three letters picked without replacement from {a: 1, i: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -3055.96.\nAnswer: -1222.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51411 (base 8) in base 10?\nAnswer: 21257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 31*d**2 + 17*d - 11. Let f(b) = b - 1. Let h be f(-2). Let u(i) = 32*i**2 + 16*i - 12. Let m(x) = h*u(x) + 4*k(x). Determine y so that m(y) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3861 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -13*b**2 + 680*b - 104. Does 27 divide o(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 186?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6947 - -19940. What is the greatest common factor of t and 426?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45318 + 8?\nAnswer: 45327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110000001110001100 (base 2) to base 9.\nAnswer: -1320114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*a**2*f*j**2 + 22*a**2*f*j + 57*a*f*j**2 - 2*a*f*j - j**2 wrt a?\nAnswer: 180*f*j**2 + 44*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -45234 to the nearest 100.\nAnswer: -45200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -568910, -4, 1 in descending order.\nAnswer: 1, -4, -568910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22629.\nAnswer: 3, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -10*c + 63. Let a be h(6). Sort a, 4, -4, -1.\nAnswer: -4, -1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -4*i + 4*i + 10*c - 140, 2*c - 28 = 8*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5 + 3)*(9 - 36*c + 18*c + 17*c)*(5*c - 2*c - 4*c).\nAnswer: -7*c**2 + 63*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.66 and -0.38?\nAnswer: 2.9108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = -750 + 948 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382203381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or -1238?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/28 - 0)*4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 80 = -22*c. Suppose 0 = 31*a - c - 1049. Calculate the greatest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 60 = 6*o. Let g be 8928\/90 + 2\/o. Calculate the highest common factor of 18 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**3 + 69*c**2 + 33*c + 71. Let a(z) = 2*z**3 - 34*z**2 - 17*z - 35. Let y(d) = -5*a(d) - 3*b(d). Is y(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 10*g + 38 - 17.\nAnswer: 10*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**5\/2 - 15*y**2\/2 - 10*y. Differentiate x(l) wrt l.\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x - 3*x)*(-2 + 2 + 1) + 11 - 11 + 52*x.\nAnswer: 51*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 2*m**2 - 4*m - 12. Let o be b(-2). Let q(n) = -n**3 - 2*n**2 + 3*n - 2. Calculate q(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 40 + 9*a**2 + 77 to h + o*a**2 + g*a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -706, -3, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xto when three letters picked without replacement from oaoxaoaovot?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1268 and 2536?\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -11410.\nAnswer: -1\/2282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 w when three letters picked without replacement from {s: 2, t: 2, w: 2, o: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3548*l - 46125. What is p(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t**2 - t + 20. Give v(-6).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3 - (-2 + 2 + 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (-3 - 17 - -22) + 84\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 20*v - 72, -3616*v - 28 = -4*s - 3620*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 6:32 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i**4 - 23*i**3 + 48*i**2 - 17*i + 7. Let p(j) = 4*j**4 - 15*j**3 + 32*j**2 - 11*j + 5. Let z(t) = -5*k(t) + 7*p(t). Solve z(q) = 0 for q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57.7 + 5.3. Let t = -63.4418 - -0.0418. Let a = t + b. What is the nearest to 1\/3 in 4\/7, -3, a?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 11*s + 1. Determine t(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 0.5 (c) 5 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 11. Find the third derivative of m*i**5 - 4*i**2 - 7*i**5 + i**2 wrt i.\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2. Let v(r) be the first derivative of -2*r**3 + 7*r**2 + 407. Calculate c(v(m)).\nAnswer: 36*m**4 - 168*m**3 + 196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*j + 143*j + 61*j.\nAnswer: 253*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 10:31 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + -15 + -65 + 8.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 28. Let s be 9\/27 - (-5)\/3. Put -8, 5, x, s in decreasing order.\nAnswer: 5, s, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/(-12)*(-36)\/(-21). Suppose f - o - 677 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -7, -6, -7, -10, -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g + 0*g + g)*(0*g + g**3 + 0*g + (-2*g + g + 0*g)*(-4 + 2*g**2 + 4) + 3*g**3 + 3*g**3 - 3*g**3) to l*g**3 + w*g + m*g**2 + s*g**4 + q and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**5\/120 - 27*f**4\/64 - 5*f**3\/12 + 19*f**2. Solve d(o) = 0.\nAnswer: -20, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 464 + -460. Solve -2*j - 2 = 4*o + p, 3*o + 3 = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 8*p**2 - 11*p**2 + p**2 to m + r*p**2 + v*p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1921964 divided by -484.\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p + 0*p)*(-4*p + 0*p + 3*p) + 4 + 2*p**2 - 4 - p**2 - p**2 + 3*p**2 + (-3*p + 0*p + 0*p)*(-2*p + p - 11*p).\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -281 + 273. Let q be (-46)\/(-115)*(-10)\/g*10. Sort q, -0.3, 7 in decreasing order.\nAnswer: 7, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = -d - o, 57 = 4*d - 5*o. Suppose -2*k - 3293 = 3*i - 499, -4*i + d = 0. Round k to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 21 + 22)*(0*i**3 + 0*i**3 + 6*i**3).\nAnswer: 366*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5351821391?\nAnswer: 7, 17, 6133, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - -51 - 0\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8407201 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0896384 rounded to four dps?\nAnswer: 2.0896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 8683\nAnswer: -8682.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 367*r + 968. Is x(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 68779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14609828 is divided by 4231.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (154 + -2))*(-23)\/((-2737)\/(-85))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 1\/5 (c) -5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3616587?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1295)\/(7 + -2))\/(-1). Suppose 3*q - 263 = -5*s - 0*s, -4*q = 5*s - i. Is (-1)\/(109\/s + -2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 119*s**3 - 5*s**2 - 5*s - 5. Let z(n) = 59*n**3 - 3*n**2 - 3*n - 3. What is 3*h(p) - 5*z(p)?\nAnswer: 62*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 571.7 - 970. Round h to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -192, -200, 0.2, -3, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.37262 from 2.4.\nAnswer: 8.77262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(171) + -2).\nAnswer: -8 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -15\/4, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/7 - 14*r**2 + 1046*r\/7 - 330 = 0. What is r?\nAnswer: 3, 11, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 30510.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58395\/8 + 7299. Let h = 15 - 10. What is the second smallest value in k, 2\/5, -1\/6, h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -325916, -651833, -977750, -1303667, -1629584?\n\"Answer: -325917*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184321 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15387*s**3 - 9706*s**2 + 1074631073 wrt s?\nAnswer: -46161*s**2 - 19412*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/8 - 15*o\/4 - 25 = 0.\nAnswer: -20, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 7:12 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 2*z**2 - z + 662. Let o = 142 - 140. Suppose 4*t - 6 = 6*s - 4*s, o*t + s + 3 = 0. Is m(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1474736 + -503882.2.\nAnswer: -503881.0525264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/235215 or 1?\nAnswer: 13\/235215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/110166734 and 37\/90620?\nAnswer: 1101667340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 541 + -22. Suppose 5*i - 261 = l. Suppose -t - 2*t + 99 = 3*m, 4*m - i = 2*t. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) -2 (c) -1 (d) -71\/110 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1732209 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9. Let k(p) = p + 27. Let t(l) = -3*b(l) - k(l). Let x(v) = 365*v. Calculate t(x(r)).\nAnswer: -365*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 8*a**2 + 15*a - 13. Let w be d(6). Suppose 3*t - 24 = -w*t. Solve t*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 38. Suppose -u + 198 = 4*f - x*u, 3*f + 3*u - 135 = 0. Let m = 27 + -2. Calculate the remainder when f is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -281\nAnswer: 3\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let f(j) = 2*j**2 + 11*j - 2. Let l = 21205 - 21206. What is l*f(c) - 3*b(c)?\nAnswer: -2*c**2 - 8*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**4\/4 + 2*n**3\/3 - 3*n**2\/2 - 1061*n. What is f(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(136) - -1*sqrt(136))\/sqrt(8))**2 - (-1 + sqrt(17) + 1)).\nAnswer: -272 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 4:34 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 3*a - 2 - 1\/3*a**3 + 1\/2*a**2. What is the units digit of q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 5:52 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -35732 divided by -8933?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*a - 42 = 0. Let n(q) = -8*q - 17. Calculate the remainder when n(-7) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaggaaaahhtgg. What is prob of picking 1 h and 1 t?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 6*h**2 - h - 6. Let f(y) = 2*y - 7*y - 16*y - 3*y + 37 + 17. Let l be f(2). Calculate x(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -21, -136, -1, -4 in increasing order.\nAnswer: -136, -21, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.676847t?\nAnswer: 676847000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3\/14 (b) -1\/5 (c) -4435\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -25*u**2 + 103*u + 9. Let a(n) = -6*n**2 + 26*n + 2. Suppose -34 = -36*b + 19*b. Let o(v) = b*y(v) - 9*a(v). Find f, given that o(f) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26180.43 and 0.12.\nAnswer: 26180.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007067 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d + 49 + 35 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -73*u**2 - 81*u**2 + 28*u**2 + (2*u - 1 + 1)*(u + 0 + 0) + 2*u**2 - u + u + (-3*u + 0*u + u)*(-2*u - u + 4*u) - 5*u**2 + 6*u**2 + 3*u**2.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*d + 42 = 0, 21*d - 13 = -n + 22*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2*3)\/(2*sqrt(175) + sqrt(175)) + 0)**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 11:14 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 2*v**2 + 5*v**2 - 2*v**2 - v**2 + (24*v + 30*v - 9*v)*(4*v - v - v) + (-2 + 2*v + 2)*(-2*v + 0 + 0) in the form w*v + r + z*v**2 and give z.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 232394*z**2 - 1394310*z - 2091438.\nAnswer: -2*(z + 3)**2*(z + 116191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3 + 6 - 22 + 9 - 2 + (2 + 0 - 4)*(-2 + 0 + 1) + 1 + 3 - 6)*(83*q + 81*q - 107*q) in the form d + n*q and give n.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*k**3 - 42*k**3 - 11*k**5 - 8*k**2 - 5*k**2 wrt k.\nAnswer: -660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0321 + -0.032099651. What is o rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 425 + -245. Let v = c + -103. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 285699646?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01324993 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 16*i - 84 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**3\/3 + s**2 + 2*s. Is 5 a factor of t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4446 - 4435. Let p(j) = -3*j**2 + 37*j - 18. Calculate p(i).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*w + 1980, w + 2*w - 1184 = 4*k. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 + -53. Let d = -35 + j. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34161*s - 317688.\nAnswer: -34161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-4 - (-6 - -2))) + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4282 + 15824 = 2*l. Let o be 7542\/(-8)*(1 - 1 - -4). Let u = o + l. Round u to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -339.9212 - -340.6. What is g rounded to two dps?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15628808552 take away -22822?\nAnswer: -15628785730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783014 to the power of 1\/2, to the nearest integer?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167 + 113. Let d = -31 - b. Suppose -5*p = 2*j - 36, j - 44 = -3*j + 4*p. Calculate the remainder when d is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*b - 7*b + 3*b)*(1 - 1 + 3) - 3*b + b + 6*b as z + h*b and give h.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.72 + 35.28. Let j = k + -19. Let h = j - 17.085. What is h rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -77*z**3 + 6*z - 6. Calculate f(1).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8321 is divided by 83?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b, 5*b + 46 = 3*w + 3*b. Suppose 19*z - 1144 = 566. Calculate the remainder when z is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4396 is divided by 1609.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 2*g - 3. What is f(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 50*q + 612.\nAnswer: -2*(q - 9)*(q + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 529*w**2 - 100*w**2 + 44 - 240*w**2 - 80.\nAnswer: -869*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -616 divided by -154?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 5?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9064573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4, 8*l - 3*l - 182 = -2*r. Let v(k) = -119*k**3 + 3*k**2 + 64*k + 62. Let x be v(-1). What is the greatest common divisor of x and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1133*u**3*y**3 - 3*u**2*y**3 - 57*y**3 - 3 wrt u.\nAnswer: 6798*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q**3 - 24 - 18*q**3 + 25*q + 5*q**4 + 4 - 16*q**3 + 15*q**2 = 0. What is q?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from qjohhjh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 104*v**3 + 7*v**2 - 4. Let p(u) = 69*u**3 + 5*u**2 - 3. What is 7*p(h) - 5*s(h)?\nAnswer: -37*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1995\/(-90)*(-1890)\/245. Let h = 212 + -98. Calculate the highest common divisor of f and h.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1029 + 119965?\nAnswer: 120994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by -2 + 99 + 8 + -9?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 12*o = 93. Let v = o - 12. Factor -8*l + v*l**4 - 3*l**2 - 16*l**3 - 15*l**4 + 12*l**2 + 11*l**2.\nAnswer: 4*l*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:39 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -1 - 1. Let x(d) = -65*d. Let y be x(s). Suppose 148*c = 89*c + 767. What is the greatest common factor of c and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 - 2 = -2*t, -5*w + 4*t = -20. Let j be 0 + (9\/(-12) - w). Let o = 0.44 - 0.04. Sort o, 5, j.\nAnswer: j, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0)*(0 + -1). Let x be 2\/11 + (-3)\/33. Let p = -27\/55 + x. Which is smaller: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 199.1825ml?\nAnswer: 0.1991825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 10*r**2 + 11*r - 4. Let n be 7 + (-1957)\/285 + 334\/(-30). What is l(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4022673260.\nAnswer: 2, 5, 3691, 54493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k = 1795*k + 364*k + 473*k - 133432 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-3094)\/(-315)) + (-2)\/(-9)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-10)\/6)\/((-21)\/54) and 7\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306858173?\nAnswer: 1657, 185189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*62*(-2)\/(-8). Suppose -v = -2*a - 0*v + b, -37 = -2*a - v. Calculate the greatest common factor of 51 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x + 26. Give w(-10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (156633\/(-1635))\/(2\/(-20)). Which is smaller: i or 956?\nAnswer: 956","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 12*k - 1587 = 0. Suppose 3*w - k = 584. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0113 and -69533623.\nAnswer: -69533622.9887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 + -431260409488\nAnswer: -431260409487.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -9*f - 8. Is 34 a factor of 6 + f + (98 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 6*k - 19*k**2.\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y + 4*y - 3*y)*(1 - 4 + 2) + (19*y + 19*y + 0*y)*(7 + 23 - 6) - 2*y + 2 - 2 + (2*y + 0*y - 4*y)*(5 - 2 - 1) + 0 + 0 - y)*(y + 4*y - y).\nAnswer: 3612*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -295, -297, -295, -289, -279?\n\"Answer: 2*x**2 - 8*x - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9822 + 73*m - 9822)*(-1 + 2 - 3)*(-6 + 5 + 0) to the form s*m + w and give s.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 51*h - 154. Give y(4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 + -29. Let z be (-376)\/b - 2\/6. Let x be ((-4)\/6)\/(z\/(-24)). Put x, -4, 4 in ascending order.\nAnswer: -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12272 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 3*f**3 + 5*f**2)*((-f - 4*f + 2*f)*(-1 + 4 - 1) - 3*f - 3 + 3 + 3*f - 2*f + f).\nAnswer: -21*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 80 = -9*s. Suppose 0 = -m - 0*m - 22. Let z be (-524)\/m + 4\/22. Calculate the highest common factor of s and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-10))\/((-9)\/24). Let y be 30\/v*440\/(-33). Let t = y + -92. Solve -t*m + 20 = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18110989 divided by -18110989.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -23. Let b be (-8)\/40 + 21\/o. Solve b = -3*j + 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 2*c - 9. Give r(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 + -188. Let p(o) = 5*o**3 - 2*o**2 - 3*o - 6. Let f(z) = 13*z**3 - 7*z**2 - 8*z - 17. Let r(u) = y*p(u) - 3*f(u). What is r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 43 - 7 = 0. Suppose y*l = -11068 - 5312. Let m = -1089 - l. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873*w + 3162 = 11019 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8140 a multiple of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/60 + m**4\/12 + 4*m**3 - 14*m**2. Suppose 0 = c - 5*l, 4*l = -2*c + c. List the prime factors of d(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-2\/21)\/((n*n\/(n\/(n\/(n*n**(-4\/5)))))\/n)**(-11) assuming n is positive.\nAnswer: n**(934\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -817.2 + 817. Let i be (-2)\/24 - 14\/(-42). Let o be 3\/(-2)*2\/6. Which is the closest to i? (a) z (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.462644ml in litres?\nAnswer: 0.006462644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + 3 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:07 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10524, 42110, 94754, 168456?\n\"Answer: 10529*j**2 - j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 374972800960 and 85.\nAnswer: 374972801045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 2*l**2 + 0*l**2)*(3 + 2*l - 3)*(-15971*l + 7982*l - 43 + 7987*l).\nAnswer: 8*l**4 + 172*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/19 (b) -94 (c) -1 (d) -5 (e) -0.25 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22c6 (base 16) to base 2.\nAnswer: 10001011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.556 - 188.794. Let l = s + 191.3630214. Let x = 0.013 - l. Round x to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttn when three letters picked without replacement from {b: 11, n: 1, t: 5, a: 2, s: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -2\/7929 (c) -10\/9 (d) 5 (e) 2\/5 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -956*f + 796*f + 71200 = 0. Calculate the smallest common multiple of f and 385.\nAnswer: 34265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = 0. Suppose -4*d - 4 = r, -4*i - i = 3*d - 522. What are the prime factors of i?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8780356*i**2 + 7272918*i wrt i?\nAnswer: 17560712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3))**1\/(c\/c**(-2\/7)*c*c)**(3\/4))\/(c**5\/c**(2\/7)*(c\/c**(-2\/5))**29) assuming c is positive.\nAnswer: c**(-19927\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/7)\/(7048\/6167)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 12 = 4*d + 2*b, 98 = 2*d - d + 5*b + 154 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59895 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43350074 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67093?\nAnswer: 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n + 89. Give t(-6).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 0 - (-3)\/(-1). Let j(z) = 3 + t - 2*z**2 + 11*z**3 - 2. What is the remainder when j(1) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91 and 488565.\nAnswer: 6351345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2359 * -10.868\nAnswer: 25637.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -308 - -554. Suppose -4*z + h = -90 - 153, 2*h = 4*z - d. Is 30 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133.64 + 134.14. Put o, -1\/224, -16 in descending order.\nAnswer: o, -1\/224, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19965 divided by 17?\nAnswer: -19965\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 64 = -i. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 21, 41, 73?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*c**3 + 105*c**3 - 54*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 430830, 1722287, 3874378, 6887109, 10760486, 15494515?\n\"Answer: p**3 + 430311*p**2 + 517*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16316.4 centuries in months?\nAnswer: 19579680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3928 and 19.\nAnswer: 74632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 24. Let r be k(17). Suppose 2 = -t + 3*n, 0 = 2*t - 0*t - 3*n - 2. Let u be (-91)\/(-3) - t\/12. What is the highest common divisor of u and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + m - 1. Let r(a) = a**3 - 13*a**2 - 11*a + 3. Let y(b) = 3*i(b) + r(b). Find q, given that y(q) = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 - 8*a + 10. Let w be h(-7). What is the first derivative of -334*k**3 - 7 - 1 + w*k**3 wrt k?\nAnswer: 78*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27019738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 14.1. Let a = -13707 + 13708. What is the biggest value in a, i, -0.1, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1075 - 3.6.\nAnswer: -1078.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 8*w + 13. Let t be (1 - -1) + -2 + (-7)\/1. Let o be j(t). Let h = o + 34. Solve -3*f - 6 - 4 = u, -3*f + 10 = h*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18826.000020521 - -18826. Round n to seven decimal places.\nAnswer: -0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 0.3 (c) -0.5 (d) -1049 (e) -2.36\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61*(-126)\/(-261324)*-1054?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032125082 rounded to 6 dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (8 - (10 + 0 + -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcc when three letters picked without replacement from {z: 7, c: 4, r: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*f + 21 = -100*f. Suppose 11*n = 5*n - 24. What is the hundreds digit of 142 + (f - n) + 3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - f**2 + 1. Let o(h) = -2*h**2 - 1 + 8 - 3 - 2 - h**3. Let m be ((-1)\/2)\/(3\/12). Determine m*o(c) + 4*r(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 + 56.7. What is b rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/52 - -361\/3588. Let l = 6\/23 - n. What is the nearest to -1\/2 in 0.7, -2\/21, l?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 124, -3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14230 less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8316039844 to the power of 1\/2, to the nearest integer?\nAnswer: 91192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 26 - 8. Suppose 24*o - 1680 = -k*o. Suppose -4*w - 4 - 8 = 0, 3*r - 30 = 2*w. Calculate the greatest common factor of o and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let p(c) = c**3 - 4*c**2 - 4*c - 3. Let s be p(5). Let k(o) = -4*o**s + 3 - 4 + 0. Determine k(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -298? (a) 0 (b) 0.4 (c) -2\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14785918 is divided by 240?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1195*b - 3719*b + 488306 = -101374 for b.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 151, 156, 161?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285578 is divided by 988?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -2*l. Let o be l\/(-1)*7\/(-1). Let w be (-12)\/8*4\/(-6). Solve -3*s - w = -o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 6*r**2 - 8*r - 1. Let l be v(-6). Suppose 0 = -g + 15 + 83. Let p = g - l. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 597 and 6.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12360275.\nAnswer: 5, 17, 127, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = -0*a - 3*n, -3*a + 3*n = 3. Let p(j) = j + 2. Let y(k) = k. Give a*p(t) - 3*y(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 75\/2 of a gram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -38.21. Let u = p - 0.27. Let y = u - 0.04. What is the closest to 0 in -0.4, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-13)\/f)**(-40))**(-19) assuming f is positive.\nAnswer: f**(-10640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137554 is divided by 181?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-344)\/3870*(-4)\/((-8)\/(-5))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*x + 3*z, -7 - 1 = -4*z. Suppose -3*u + 5 = -x. Which is the closest to -1? (a) -1 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + b)*(2 + 0 - 3) + (3*b - 2*b + 0*b)*(3 - 1 - 1) + 4*b - 2 + 2 + 4*b + 2*b - 7*b + 3*b - b - 4*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:41 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21 + -29.5839079.\nAnswer: -29.7939079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -37*26430\nAnswer: -977910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126835 or -126833?\nAnswer: -126835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = 88 - 184 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 18*k**2 + 44*k + 12. Is 4 a factor of y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 30*l + 5. Let w be a(-30). Suppose 31 - 31 = -w*k. Solve 19*f - 21*f - 10 = k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -2, 7265 in increasing order.\nAnswer: -42, -2, 7265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f**2 - 30*f - 1168. Determine k(14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 12*o + 19 + 9*o - 37.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 76. Let b be i(-12). Is ((-12)\/2 - (12 + -14)) + b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -13. Suppose -b = -3*x - 5, 0 = -4*f + 3*x + 19. Let z = -1 + 3. Solve -o + f*y = -4, z*o + 15 - 3 = -2*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -75078?\nAnswer: -75074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/1300 and -67\/160.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 22. Let q be 0\/((-1)\/(2\/4)). Let x = w - q. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -799568 by 3304.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 135021\/21 + 93\/217. What is the greatest common factor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/1484)\/(4 - 78\/21). Which is the second biggest value? (a) -0.5 (b) m (c) -5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - -1.44. Let l = 0.3 - k. Let r = l + -0.46. Which is the smallest value? (a) -0.07 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -21*g - 29. Let j be h(-9). Suppose -f = -57 - j. List the prime factors of f.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Let k(o) = 2*o**2 - 2616*o. Calculate k(h(r)).\nAnswer: 8*r**2 + 5232*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4 and 83\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 3077594?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2 + 11*w - 26 = 0. What is w?\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or -916.9?\nAnswer: -916.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 9*x + 5 + 0*x + 6*x + 3*x.\nAnswer: 11*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, 27.637, 4?\nAnswer: 27.637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.36? (a) -2\/3 (b) -3\/2 (c) -5 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*g + 6*u + 29, -3*g - 2278 + 2254 = 3*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 636.8 + -637.3. Which is the nearest to -2\/5? (a) -46 (b) 0.2 (c) -2\/13 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*r - 29 = -47, -u - 3*r + 17 = 0. Solve 0 = -3*v - 9, 6*a + 29 = u*a - 3*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f - 16. Let j(y) = 6*y - 187. Let a(w) = -j(w) + 3*u(w). Let t(x) = -2*x. Give t(a(n)).\nAnswer: -6*n - 278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 + -739?\nAnswer: -737.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90\/59 - 3\/118. Which is the nearest to -1? (a) -0.3 (b) 2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22 - 20)*((-2)\/4 - -1). Is 1\/4 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewese. Give prob of picking 2 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k**3 + k**3 + 2*k**3)*(-1 + 1 - 2)*(20*k + 24*k + 2 - 48*k) in the form x*k**2 + b*k**4 + r + u*k**3 + p*k and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -101*t - 410. Let c(f) = 37*f + 137. Give 11*c(d) + 4*w(d).\nAnswer: 3*d - 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 4 = -8*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -40589007 to the nearest 1000000.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - t + 10 + 6*t. Let n be s(-7). Let j = -6 - -11. Solve 0*b + n*b = j*w - 5, w = -b - 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1840 and -118.662?\nAnswer: 218338.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d - 12. Let l(u) = 23*u + 160. Let k be l(-7). Let p(b) = b + 1. Calculate k*j(q) - 12*p(q).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/10 and (-253)\/30 + 9\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -4080284?\nAnswer: 4080279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(11\/4))*h*h*h\/(((h\/(h*h**(-42)))\/h)\/h))\/(h\/((h\/(h*h**(-12\/5)))\/h))**2 assuming h is positive.\nAnswer: h**(-669\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -622 > -941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7679681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 81 - 7*d**4 + 29*d**3 + 0*d**2 + 2\/5*d**5 + 0*d. What is the third derivative of p(t) wrt t?\nAnswer: 48*t - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 5*n - 39 = -7*f - 125, -n + 6 + 14 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.181ng in tonnes?\nAnswer: 0.000000000000288181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4812518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 + 0.51. Put 3, w, -5, 0.05 in decreasing order.\nAnswer: 3, w, 0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 4*r + 5. Let t be a(5). Suppose 2*i - 2*v - 30 = -0*i, t = -2*v - 6. Let -9 + 2*f**2 - 17*f**3 - i*f**2 + 19*f**3 + 16*f + 1 = 0. What is f?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*c**2*f**2*u**3 - 97*c**2*f**2*u - 5*c**2*f*u**3 - 42*c**2*u**3 + 2*c**2 + 2*c*f*u**3 + f*u**3 wrt f.\nAnswer: -292*c**2*u**3 - 194*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -2*u - 3*u - 28, 4*a - 21 = 5*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1610 - 652. Let l be w\/798 - (0 - -1). Let f = l - 2\/21. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1233 or 1236?\nAnswer: 1233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116\/1707 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 divided by 153?\nAnswer: 248\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*t**2 - 88*t**2 + 36*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(33)\/sqrt(3) + sqrt(11) + 1 + sqrt(539))**2 + 2.\nAnswer: 6*sqrt(11) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 - 19. Let j = t - -120. Solve -v - 3*z = -2*z - 7, 5*v - 31 = -j*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 553 - 356. Let z = x - 111. Suppose -13 = -3*n + 3*h + 41, 4*n = -3*h + z. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c - 1. Let y be p(1). Let k = -2 + y. Let w = 6 + -1. Put -1, w, k in descending order.\nAnswer: w, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 1139 = -14*w - 1130, -4*w + 5*j - 45 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 8*d - 7*p = -24, -2*p + 2 = -d. Calculate the smallest common multiple of d and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1935098 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6111 + -3?\nAnswer: -6114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -1327*u**8\/48 + u**5\/60 - 2891*u**4\/24 + u**2 - 56. What is the third derivative of a(r) wrt r?\nAnswer: -557340*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-2\/7)\/t*t*t*t**12 assuming t is positive.\nAnswer: t**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487719443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -111110000101101 (base 2) to base 3\nAnswer: -1121121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3\/15 + 7*c**2\/5 + 9*c + 93. Factor f(t).\nAnswer: (t + 5)*(t + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 34, 1, 89150, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/25*(-75)\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1682 is divided by 74?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 0.073?\nAnswer: -0.00292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 366 - 365.8. Do k and 27\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 624, 1457, 2290, 3123, 3956?\nAnswer: 4789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 101\/9 + -11. Let i = -65 - -68. Which is the third smallest value? (a) 0.4 (b) i (c) 0.12 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 5, -2, -518588?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - l = 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 2*l - 2 = 0, 3*i - 257 = 2*l - 259 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 515 - 105. What are the prime factors of y?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27, 217, 719, 1689, 3283, 5657, 8967, 13369?\n\"Answer: 26*g**3 + 8*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/6*(32\/(-50))\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1584*p**3 - p**2 + 5*p - 3. Let j be d(5). Let t(w) = -w**2 - 7*w + 9. Let r be t(-9). Let n be j\/r - (-1)\/(-3). Round n to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 6:33 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -685 divided by -1119?\nAnswer: 685\/1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 99b66c - -3a?\nAnswer: 99b6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 2\/(-2 + 0). Suppose z = -7*c + 6*c. Suppose c = 4*t - 49 - 15. Calculate the remainder when 46 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 983926.14 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*k**2 + 3*k**3 - 5*k**2 - 14*k**2 + 1 in the form q*k**3 + u + b*k + n*k**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132 + 21 + (10 - 46) - 11.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - 1065*s**3 + 350*s**3 + 359*s**3 + 357*s**3.\nAnswer: s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2 - 2*h - 6. Let q(o) = 149*o + 4 - 145*o + 9 - 11*o**2. What is 6*q(t) + 13*s(t)?\nAnswer: -t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -117682 to the nearest one hundred.\nAnswer: -117700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355.5914 centuries to millennia.\nAnswer: 35.55914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2012 at most as big as -2020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*j + 9254 = -113*j + 60*j. Is 1322 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - -936) + 0 + -5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -109, -164?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 4*w + 8*w - 4*w + 18. Let v be f(9). Let x = v - 23. Calculate the lowest common multiple of x and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvrr when four letters picked without replacement from {v: 2, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/6943543 (b) 235 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**3\/3 - 5*i**2\/2 - 17*i. Let t(x) = -3*x - 10. Give 7*h(l) - 4*t(l).\nAnswer: -2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(8\/7)*p)*p)**12\/((p**(-20)*p*p)\/(p*p\/((p**(18\/11)\/p)\/p))) assuming p is positive.\nAnswer: p**(1436\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 + 0*b + 2*b**2 + 4*b + 5. Let f(a) = 5*a**2 + 3*a + 4. Let y = -6448 + 6443. Let z(v) = y*f(v) + 4*k(v). Suppose z(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 8. Let c be r(6). Let t be (-35)\/c*480\/56. Let g = -95 + t. What are the prime factors of g?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 10 = -4*f + 2*a, 2*f - a = -66867 + 66850 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m**3 - 8*m**2 - 7*m - 4. Let z = 0 - -5. Let w(y) = -11*y**3 - 12*y**2 - 11*y - 6. Let v(c) = z*w(c) - 8*i(c). Determine v(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106806839?\nAnswer: 106806839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224074588.\nAnswer: 2, 89, 167, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 9, -5*z = v - 0*z - 180. Let s = 253 + -193. What is the greatest common factor of v and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3567036 is divided by 710?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/4 - 2787*h**3 + 503689*h**2\/4 + 11148*h - 503685 = 0. What is h?\nAnswer: -11193, -2, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 928158.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Let h(j) = j + 13. Let f be h(-11). Suppose 5*w - f*w + 3*o - 54 = n, 52 = 4*w - o. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -565, -3, 0, 1, 7, -1 in descending order.\nAnswer: 7, 1, 0, -1, -3, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 672.7 - 672.700008534. Round s to 7 dps.\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378519661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + -7 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6083*z + 30486. Calculate n(-5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 v, and 1 m when four letters picked without replacement from {r: 2, v: 3, m: 1, s: 5, l: 1, u: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5041 - -5040. What is the closest to 0 in 31, -5\/4, -3\/8, v?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669 - 394 = -59*s - 1 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (13 - (75 - 42))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11440521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -64198 divided by 187?\nAnswer: -64198\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 - 4*r**2 + 4*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 34*k + 46. Let t be s(-14). Let c = 377 + t. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7590 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 253 (base 6) to base 10\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 2792*y - 2789*y - 150, 2*z + 4*y = 182 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, 3, -2, 5 in decreasing order.\nAnswer: 32, 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = n + 9, -2*y = -n + 4*n + 11. Suppose -y*c + 0 = -10. Solve c*i - 8 = -3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64eb3 (base 15) to base 3\nAnswer: -121021201220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 - 6*q - 36. Let g(p) = -6*p**2 - 14*p - 73. Let y(v) = 7*a(v) - 4*g(v). Find the first derivative of y(l) wrt l.\nAnswer: 6*l + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002611069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 + 1)*(-4 + 2 + 0)*(-3*j**3 - 4*j**3 + 2*j**3) to the form v*j**3 + l + i*j**2 + p*j and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2171 + -2083. Let t be 0\/15 - (-66 - 0). Calculate the greatest common factor of o and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3699 and 1828813.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 30*a**2 - 3*a + 10. What is the units digit of q(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12111010 + 12?\nAnswer: 12111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.74 + 7.44. Let x = 0.4 + -0.2. What is the nearest to x in s, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13780 and 1180946?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (396\/16)\/((-2700)\/10800)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22554 is divided by 640?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + t**2 - 2*t + 4. Let j be g(0). Sort 2, j, 5, -4.\nAnswer: -4, 2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 230\/281?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.015 times 69323\nAnswer: 1039.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - 5*l)*(2*l + 2*l - 6*l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4))**(4\/17)*(h*h\/h**(-1\/2))\/(h*(h\/h**(2\/13))\/h))**(-1) assuming h is positive.\nAnswer: h**(-705\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3389, -0.2, 2?\nAnswer: 3389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3 = -q. Let b(a) = 2*a - 2. Let t(j) = 1 - 2 - 4 + 6. What is q*b(i) - 2*t(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69602381 is divided by 34801184?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 2*i**2 + 3*i - 1. Let t be r(2). Suppose -3*d - 10 = 2*d, 2*d - 11 = -t*v. Let l(o) = o**2 - 3. Give l(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6400 - 6379. Sort n, 0.2, -0.4, 0.08.\nAnswer: -0.4, 0.08, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 11*f - 9*f - 26, 4*o - 12 = -4*f. What is the greatest common factor of 3272 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*j - 122*j = -5. Suppose 8*n = j + 3. Is n at least as big as -1\/317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 4}. Give prob of picking 1 u and 1 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5 + 4 = 0. Let w(n) = n**3 + 3*n**2 - 3*n + 1. What is the tens digit of w(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, z: 1}. Give prob of picking 1 z and 3 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3361056 (base 8) in base 5?\nAnswer: -213103440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -25. Suppose 5*g - 135 = v + 4*v, 4*g = -4*v + 108. Suppose -4*u = -25 - g. Solve m*y + 3*j = 5*y - u, y + 4*j = 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}