{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 6 (c) -8\/43 (d) 1\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -1740*w + 137456. Calculate z(79).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2200*f + 1212 + 1842 - 417 wrt f.\nAnswer: -2200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12140*o**2 - 3*o - 3 + 12109*o**2 - 36428*o**2 + 12142*o**2 + 3.\nAnswer: -37*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:14 PM and 7:31 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v\/(v**(-2\/7)*v)))**25)**(-33) assuming v is positive.\nAnswer: v**(-4125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -2*n - 11. Let a = -7 + 23. Suppose -3*f - y - a - 10 = 0, -4*y = -4. Let m(q) = -q - 5. Calculate f*m(l) + 4*k(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 54325, 54322, 54331, 54358, 54409, 54490, 54607?\n\"Answer: s**3 - 10*s + 54334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 609 minutes before 7:46 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -8395*v**2 + 4134*v**2 - 1 - 2 + 2*v**3 + 4174*v**2 - v in the form y + m*v**3 + j*v**2 + u*v and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 4, s: 15}. Give prob of sequence sss.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.1, -3.1, -1, 95, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - 0. Let h(m) = -m**3 - 2*m**2 + 1. Let t be h(g). Let i(p) = -p**2 - 9*p + 2. Let x be i(-9). Solve x = l - t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = 6*r - 36. Suppose 15*a - a - 490 = 0. What is the remainder when a is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -36105216 divided by 6.\nAnswer: -6017536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 57*u - 58*u + 3*w = -5, 2*u = -3*w + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 2411633.\nAnswer: -4\/2411633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + i**3)*(3*i**2 - 3*i**2 - i**2) + 8506*i**3 - 38*i**5 + 297*i**5 - 260*i**5.\nAnswer: -2*i**5 + 8506*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1302888?\nAnswer: 2, 3, 54287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 111953226 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that -35*s**4 + 1485*s**3 - 16045*s**2 + 5775*s + 8820 = 0.\nAnswer: -4\/7, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 + -13210030101131?\nAnswer: -13210030101130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -3*a**4 + 153*a**3 + 2124*a**2 + 8880*a + 12096 = 0.\nAnswer: -4, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 661.6974 micrometers?\nAnswer: 661697.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -619, -617, -613, -607, -599, -589?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - 3 - 1)*(1 + 0 + 1) - 3 + 4 + 1)*(-3 - 3 + 0)*(4*u - 7 + 7).\nAnswer: 96*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 6981 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ctjttcjfjjjqbc. What is prob of picking 1 f and 1 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (-3 - (4 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o + 23. Let f be r(7). Suppose 0 = 4*t + 7*g - 2*g - f, 3*t + 5*g - 17 = 0. Which is the closest to -1\/3? (a) 64 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g**2 + 3*g**2 - 4*g**2)*(1 - 11 - 3) + 0 - g**2 + 0.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:31 PM and 11:14 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3591?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 350 divide 97650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -1003 (base 9) to base 14.\nAnswer: -3a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -617 - -612. Put 13, 4, z, 0 in descending order.\nAnswer: 13, 4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34482910 a multiple of 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0171862984 rounded to four decimal places?\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2054.363 + 2057. Let k = -0.063 - n. What is the biggest value in 0.2, -0.3, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-2)*68\/(-238)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes before 9:51 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 2*j. Let b(c) = -73214*c. Give a(b(p)).\nAnswer: -146428*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 224369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 70900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + (2 - -3) - (78 - 49)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a\/(a\/a**(4\/5)))*a**(-4\/5))\/(a**(1\/9)*a**(-3)*a))**(32\/3) assuming a is positive.\nAnswer: a**(1856\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -45*c**3 + 7*c**2 + 2*c + 2. Let x(b) = b + 1. Let g(j) = k(j) - 2*x(j). Find the third derivative of g(f) wrt f.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**2 + 8*g - 7. Let u be 56\/9 - 2\/9. Let b be v(u). Sort -3, b, 2.\nAnswer: -3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110 - -111111100010001?\nAnswer: 111111100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1858, -3775, -5692, -7609, -9526, -11443?\n\"Answer: -1917*y + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*y**3 + 19224613*y + 19224623*y - 38449236*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1 + 9 + d - 10 - 2*d + 20*d**4 wrt d?\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 27*v**3 - 89*v - 2*v**4 + 9*v**3 + 107*v + 4*v**4 - 6*v**3 as u*v**2 + n*v + x + i*v**4 + r*v**3 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 12 - (-3 - (-18 + 8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -99, -203, -309, -417, -527, -639?\n\"Answer: -h**2 - 101*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/(-8)*4\/20 + 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 4*r**3 - 3*r**2 + 8*r - 13. Let d(v) = -6*v**3 + 4*v**2 - 12*v + 20. Let y(n) = 5*d(n) + 8*o(n). Calculate the remainder when 11 is divided by y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - s = -18, s = 6 - 8. Put -5, -3, -12, j in descending order.\nAnswer: -3, j, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y + 11. Let g be l(-9). Let k be (-76)\/(-18) + (-4 - 0). Find d such that 0*d - k + 2\/9*d**g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor v**3\/4 + 19*v**2\/4 + 9*v\/2.\nAnswer: v*(v + 1)*(v + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 11 = 2*h, 0 = 2*a - 3*h - 1151. Let i = a - -144. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = -3*a - q, 10*q + 24 = -3*a + 7*q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (-120 - 51 + 30 - 8)*(-80*r - 12*r**2 + 4*r**2 + 7*r**2) as u*r + t + a*r**2 and give a.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 368770 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58*g - 46626700 - 52819339 + 9890733 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 14 - 8. Let z(f) = f**2 - 5*f + 7. Is z(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express l**2 - 891*l**3 + 2 - 908*l**3 + 3*l**4 + 1800*l**3 - 62*l in the form k*l**4 + u*l**3 + o*l**2 + g + j*l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -559 - -704. Calculate the greatest common factor of 58 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13\/2999 at most as big as -0.2473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -4*d - 4*j + 30, 4*d = -2*j + 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 3*x. Let l(d) = 10*d - 35. Let h(i) = -i**2 + 9*i - 4. Let s be h(9). Let w(a) = a - 4. Let m(b) = s*l(b) + 35*w(b). What is m(k(z))?\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine thirds of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together 3 and 0.037399.\nAnswer: 3.037399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 16) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(77)*6 + 5*sqrt(77)*-2)\/(sqrt(7)*1*-6 - (-2*sqrt(567) - sqrt(567))).\nAnswer: -22*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-51225)\/30 + (5\/(-2) - -2). Let y = f - -2859. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -18 + 11. Suppose -5*v - 4*n = -n - 154, -160 = -5*v - 5*n. Let u be (-27)\/21 + 29\/v. Which is greater: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*q + 4*q + 3*q)*(0 + 0 + 2)*(0*q + 4*q - 2*q) - 4*q**2 + 2*q - 82 + 82 as y*q + a + h*q**2 and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -406*o**3 + 410*o**3 + 1094 - 1094.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -28*h + 1. Let j(b) = 42*b - 1. Let m = -133 + 138. Calculate m*j(n) + 7*l(n).\nAnswer: 14*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 37, 2.\nAnswer: 0, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**4\/5 - 147177*s**3\/5 - 7221386388*s**2\/5 - 23635107569392*s - 2478503026200768\/5.\nAnswer: -(s + 21)*(s + 49052)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1020 - (-13 - -68)\/11 and 105.\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -104 + 187. Suppose 3*b - w = 55. Suppose -s = 2*g - 30, 3*g + s - b = -2. What is the lowest common multiple of 4 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 429*x + 439*x - 1933*x + 430*x + 195*x + 437*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.22 + 11.22. Let s = -55719 + 55707.9974. Let b = s + r. Round b to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 172618*a - 345277. Give r(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 8*u**3 + 4*u**2 + 9*u - 3. Is k(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -415*s = -418*s - 3*d + 3, 4*s - 3*d + 24 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(2\/7)*a)\/a**(-1)*(a\/a**(-2)*a)**(9\/11) assuming a is positive.\nAnswer: a**(428\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - -6) + (19 + -66 - 29)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bhhbhhbh. Give prob of picking 2 b and 2 h.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -546, -544, -542, -540, -538?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/120615 or 0?\nAnswer: -1\/120615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*sqrt(34)\/(6*(sqrt(8)\/sqrt(4) + sqrt(2))) + (sqrt(68) + 0)*2 + (sqrt(68)*1)**2 + 4.\nAnswer: 43*sqrt(17)\/12 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1626, -2518, -3428, -4356?\nAnswer: -5302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1341?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6 and 2868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4 - 8. Let r be c\/((-8)\/6) + -7. Let m(d) = d - 11. Let h be m(6). Put h, r, 5 in descending order.\nAnswer: 5, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 30\/(-4)*2*-9*18\/486\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 3 = h. Let n = 235\/339 - 3\/113. What is the biggest value in h, -0.5, n, -1\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m + 1. Suppose -2*w - c = -3*c - 4, 5*w = 4*c + 13. Suppose 12 = w*b - 8*b. Let x be o(b). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*y**2 - 5*y**2 + 4*y**2 - 5*y**2.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes before 1:12 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 20 = 6*o - 5*v, 0 = 5*o + 4*v + 42. Let m = o - -12. Suppose -m*w + 0*w = -4. Is w at least 6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the first derivative of -x**6\/120 - x**5\/15 + x**4\/12 + 2*x**3\/3 + 5*x**2\/2 - 19. Let c(g) be the second derivative of n(g). Give c(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.2 + 46.2. Let f = 41 - k. What is the second biggest value in -2\/5, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -70, -114, -196, -322, -498, -730, -1024?\n\"Answer: -j**3 - 13*j**2 + 2*j - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 1724.69l to millilitres.\nAnswer: 1724690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 19081 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 + 21 = 12*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 2, 6, 690?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 11 (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -119041 or -119040?\nAnswer: -119040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(264\/(-32)))\/(((-5883)\/1166)\/111).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 528690581.\nAnswer: 23, 22986547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 381889 to the power of 1\/2, to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 1, p: 1, v: 3}. Give prob of sequence vppv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.11*-0.15.\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 7*h**2 - 8*h - 13. Let r = -7 + 11. Let f(i) = -i - 2 - r + 0 - 3*i + 3*i**2. Let c(q) = 13*f(q) - 6*n(q). Find the second derivative of c(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.1485 - 0.3815. Which is the nearest to -2\/7? (a) m (b) 1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -4*j + 41. Let k be d(5). Solve 0 = 5*w - 3*w - 5*s, 0 = -5*w + 2*s + k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1073365 or 0.1?\nAnswer: 1073365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/(-1) + (4 - 4). Suppose 3*z - 3*c - c = 29, h*c - 8 = 0. Calculate the common denominator of -6 and (-425)\/z*(-3)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**3 - 11*y**2 + 10*y + 6. Let v be q(10). Solve -v*w = -2*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 62657408 divided by -178004.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3 and 2809?\nAnswer: 842.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 27290 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18 + 2 + -14 - (1 - -6) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify l\/l**(-6)*l**(1\/11) assuming l is positive.\nAnswer: l**(78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 367715 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d**2 + 4*d + 3. Suppose 3*g + 3*p + 17 = -7, -5*g - 28 = 2*p. Calculate r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1060 + 1056. Let y be (-5 + 1)\/2*-10. Suppose -3*c - 7*p + 2*p = 29, 0 = 5*p + y. Is c smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.08 * 1291.\nAnswer: -103.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 23437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -100*l**4*z**3 - 90*l**3*z**3 - 103*l*z**3 + 6*l*z + z**3 + 2 wrt l?\nAnswer: -1200*l**2*z**3 - 540*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 2, k: 4, c: 5, f: 2}. Give prob of picking 2 c and 1 k.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 1\/4, 3, 4, 226?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 2*h - 2*a, -3*a - 22 = 3*h - 7*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2026 + 2030. Which is the nearest to 4? (a) w (b) 46 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*c - 70829 = 12683. Suppose -q + 2426 = w - 184, 4*w = -3*q + c. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1339616 to the power of 1\/2, to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -1 + (sqrt(13) - sqrt(52))**2 + -4 + -3 + 4*((sqrt(325) + -1)**2 + 3 - sqrt(325))*-3.\nAnswer: -3939 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/18 + 172\/(-36). Let j(b) = 2*b - 6*b - 3 + 16 + 1. Let i(k) = 3*k - 9. Let q(v) = 7*i(v) + 5*j(v). Calculate q(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 8\/(-6) + 4550\/195. Suppose q*i + 247 = 23*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**3 + 8*o**2 + 5*o - 9. Suppose 0 = -5*a + a - 8. Let z be (-22)\/3 - a\/6. Let t be m(z). Put 3, 2, t in decreasing order.\nAnswer: t, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in thirty-seven halves of a century?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -66863296, -66863298, -66863300?\nAnswer: -66863302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 368005*w**2 - 2818597*w**2 - 1452670*w**2.\nAnswer: -3903262*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be 92 + (-20 + 5)\/3. What is the greatest common divisor of 116 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1, -12879, 0.3?\nAnswer: -12879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = -5*s + 14. Let r = s + -4. Suppose 0 = 26*g - 85 - 331. Solve -r*w = w - g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -34 - 44. Suppose 0 = -5*l - 4*p - u, -5*l - 3*p - 80 = 1. Is l\/3*7\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 39 - 28. Suppose -y - 3*l + 29 = 0, -6*y + 4*l = -2*y - 132. What is the remainder when y is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z + 4811 - 4782 = -5*z - 5*t, -9*z - t + 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 86*g**2 + 2078*g**2 + 8134*g**2.\nAnswer: 10298*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 213*j**3 + 198*j**3 + 22*j**3 + 339*j**3.\nAnswer: 772*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 + 6156*i**2 - 7 + 6165*i**2 - 12339*i**2.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9 and 1109.\nAnswer: 9981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4 - (0 - (-155238)\/882). Let k = p - -172. Do k and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v - 4*v + 342. What is the remainder when v is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -148167 divided by 49389\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 39 + -37. Suppose 2*t = h*v + t - 7, -4*v = 4*t - 8. Let r be 4 - 1 - (v - 0). What is the third biggest value in 1\/4, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 141523.04995 rounded to the nearest integer?\nAnswer: 141523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 977*x**2 + 25*x + 120. What is the tens digit of b(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence klf when three letters picked without replacement from {x: 1, f: 5, k: 6, l: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 + -1. What is the third derivative of -a**5 + 0*a**2 + 2*a**l - 4*a**5 + 4*a**2 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.4, -10\/141, 13?\nAnswer: -10\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*q + 37*q = 456*q - 123*q - 23142 for q.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25170?\nAnswer: 2, 3, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 130216733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.3 + 0. Let n = -14.7 + 15. Let z = n + 0.3. Which is the closest to z? (a) q (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-82)\/(55104\/(-144)))\/((-2088)\/(-168))\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 859200 >= 859200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7.58 + 1.28. Let c = -0.024 - 6.676. Let x = c - j. Sort -1\/2, 0.4, x in ascending order.\nAnswer: -1\/2, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 430999 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/13, -0.32, -0.4, -0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 3*u - 5. Let a(b) = -641*b + 752. Let y(x) = -a(x) - 9*h(x). What is the derivative of y(q) wrt q?\nAnswer: 614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1\/(-5)*((-119551 - 6\/6) + -3)?\nAnswer: 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-240)\/15)\/(222\/37)*6*(-2)\/2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1364, 2341, 2528, 1529, -1052, -5611, -12544, -22247?\nAnswer: -35116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 94812 is divided by 92118?\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 26413, 26423, 26431, 26437, 26441, 26443, 26443?\nAnswer: 26441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 5*r**2 + 6*r - 1. Let m(k) = -2*k**2 - 2*k. Let z(t) = g(t) + 3*m(t). Let d(p) = -8*p**2 - 2*p - 7. Give d(b) - 5*z(b).\nAnswer: -3*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + n = 35, -4*l - 44 = -4*n + 16. Let m(r) = -r**3 - 9*r**2 + 10*r - 4. Let z be m(l). Let x(k) = -k - 2 + 2 - 3. What is x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-3))\/((-375)\/(-45) + -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 24.2125 + -20.2125. Let c = -3 - -5. Sort c, x, 1\/6, -0.3 in increasing order.\nAnswer: -0.3, 1\/6, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xmc when three letters picked without replacement from {c: 1, x: 4, m: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -35 (base 11) in base 16?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 7*d**3 + 60*d**2 + 394*d - 1029. Let m(f) = 6*f**3 + 60*f**2 + 392*f - 1028. Let q(i) = 5*m(i) - 4*u(i). Let q(x) = 0. What is x?\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1111000001011 + 1111?\nAnswer: 1111000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7409, 7748, 8075, 8384, 8669, 8924, 9143?\nAnswer: 9320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -29*l - 131. What is u(-9)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 6 = -2*g + g, 4*g = -2*n + 4. Solve g*r = -4*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -3*f**3 - 250*f**2 + 912*f - 3906. Calculate s(-87).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jhzjg. Give prob of sequence hg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -296, -302, -312, -326, -344, -366, -392?\n\"Answer: -2*m**2 - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 2*y = -k - 20, 3*y - 23 = 4*k. Let r be (k - 0)\/(2\/(-18)). Solve -r = -4*u + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -31*c + 25*c - 828600. Round c to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -3*y**3 + 520*y**2 - 788*y + 106396. Give u(173).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 11*u**3 + 690*u**2 - 191*u - 106. Determine m(-63).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4642 or 4636?\nAnswer: 4642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 458536168*m**2 - 1861230*m - 310205. Let p(s) = -8869*s**2 + 36*s + 6. Give 6*k(z) + 310205*p(z).\nAnswer: 8863*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 34688 = -5*z, 8*z = 5*z - 6. What are the prime factors of w?\nAnswer: 3, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 42873 and 6.\nAnswer: 85746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -522.00174 + 522. Round m to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 91*w**3 - 12 + 2*w**2 + 4 - 119*w**3 + 4*w. What are the prime factors of v(-3)?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0290066739 to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -402 + 1?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*k = 29*k + 76 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 199 divide 2970285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p + 4. Let k be t(4). Let h(i) = i**3 + i**2 - i + 3. Let b be h(k). What is the tens digit of 41\/b - 4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c*c*(c**(-2)\/c*c)\/c*c)**(-49)*c**(3\/8)\/(c*c\/(c**(-2\/13)\/c))*(c**0\/c**(-1\/11))\/(c*c**(-2\/7)*c\/c**(5\/4)) assuming c is positive.\nAnswer: c**(-417635\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 24, 65, 162, 339, 620, 1029?\nAnswer: 1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 0.1786088 nanometers?\nAnswer: 0.0000000001786088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4035879*j**2 + 4339108*j wrt j?\nAnswer: -8071758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 17a (base 13) in base 6?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*t + 2*s + 481 - 273 = 244, 5*t = 5*s - 30 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (2957\/(-53226))\/((-2)\/(1\/(-1)))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -100 times -0.4\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 + 34. Let i be (15\/(-6) + 2)*(647 - -1). Let x = l + i. Round x to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -39*o**3 - 4*o + 47 wrt o.\nAnswer: -234*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -680 times -434576\nAnswer: 295511680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 3*j - 5 = -0*n, -24 = -3*n - 4*j. Let w = -1 - -1. Let r(z) = 5*z - 2. Let d be r(2). Solve w*u = n*u - d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**2 + 4*g - 6. Suppose -2*f + 60 = 42. Let n be f + -2 + 12\/(-4). Calculate r(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2246164657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 771, 3406, 7801, 13956, 21871, 31546?\n\"Answer: 880*g**2 - 5*g - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4910 and 8483498?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.8 + -4. Let q be (-2 - -4) + (-5)\/3. Let v = 54.1 - 58.1. What is the second biggest value in t, v, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 3*r**2. Let p(h) be the first derivative of -3*h**2\/2 - 4*h - 5. Let x(o) = -2*o - 3. Let a(l) = 3*p(l) - 4*x(l). Determine b(a(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add together 1.6 and -32698.4638.\nAnswer: -32696.8638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/24 of a day?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -26*q + 665. Calculate c(10).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes after 8:43 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be 72\/((22\/132)\/((-1)\/3)). Let r = y + 165. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 471788 and 948?\nAnswer: 1415364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-7 - -7)\/(2\/((-1)\/(-1))). Suppose -n - 13 = -g*n. Let s = n - -17. Sort 1\/5, -19, s in ascending order.\nAnswer: -19, 1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 22 - 29 = 0. Let q = 133 + t. Let s(j) = -25*j - 1954. Calculate the remainder when q is divided by s(-79).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*x + 6*x + 6*x)*(-x**3 + 4*x**3 - 2*x**3) + x**4 - 2*x**3 + 1 + 2*x**3.\nAnswer: 2*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 106 + -645?\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/14534 and 145\/5586.\nAnswer: 40593462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*u - u + 5*u)*(-20 + 20 - 26*u**4) + u**5 - 4*u**5 + 5*u**5.\nAnswer: -102*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*f + 6*f = -444. What are the prime factors of f?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -13*v**2 - 2*v + 3. Let l(r) = -4*r + 5 - 13*r**2 + 3*r - r - 3 + r**2. What is 2*b(w) - 3*l(w)?\nAnswer: 10*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from axaft. Give prob of picking 1 a and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 71*b**2 - 8*b. Let p be u(11). Let n = p + -7967309\/937. Are 0 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1022 (base 4) to base 8.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c**2\/7 - 259723388*c\/7 + 8432029784274818\/7 = 0.\nAnswer: 64930847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 + 13. Suppose -4*a + t*a = -535. Let v = a - -262. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 1 + -22 + 7 + 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3260034*h**2*j + 884*h**2 + 249*h + 3*j**2 + 1 wrt j.\nAnswer: 3260034*h**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 24 and 172686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 212357.\nAnswer: 73, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbbzubbbubbmmmm. What is prob of sequence mbuz?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 2*a. Let r(w) = 152149*w. Determine r(u(n)).\nAnswer: 304298*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l**3 + 8*l**3 + 2*l**3)*((-3 + 2 + 2)*(0 + 3 - 1) + 391 + 1511 + 21).\nAnswer: 13475*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 77*b**4*m**2 + 2*b**3*m - 2*b*m**2 - 88*b wrt b.\nAnswer: 924*b**2*m**2 + 12*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 5*i + 3*l - 39, -i + 3*l - 7 = 0. Let j be 2\/(-2) + (1 - 4) + 25. Let u = j + i. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 5*b - 3. Let y be d(2). Let h be y\/(-4) + (-15)\/(-20). Let c = -292\/3 - -97. What is the fourth smallest value in -5, c, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*j + 3*j - 2*j)*(1 + 0 + 1)*(17 + 18 + 45) to d*j + c and give d.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2 + 4. Suppose -m*t - 42 = -5*t. Suppose 10*j - 3 - 137 = 0. What is the highest common divisor of t and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 99\/21649030 and -5\/68926?\nAnswer: 238139330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*o - 885 - 11672 = 0. Let u = o - 436. Sort 4, u, 15 in decreasing order.\nAnswer: 15, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 4223, 8473, 12727, 16985, 21247, 25513?\n\"Answer: 2*v**2 + 4244*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of -2*i**7\/35 - 7*i**6\/40 + i**5\/10 + 2*i**2. Determine m so that z(m) = 0.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-28)\/(-35)*5\/(-50))\/(108\/135)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100001111001011001000 + 100?\nAnswer: 100001111001011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -1624*z + 814*z + 3*l + 85 = -815*z, -4*z - 70 = 6*l - 4*l for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -c + 4*c + 168, 3*c - 318 = -2*t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 143*u = 96*u - 86*u + 69 - 468 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*s - 20*s + 8*s to c + i*s and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-5440)\/(-119))\/16)\/((-4)\/14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7.2 - -7. Let h = -9.8 + n. Let b = -9 - h. Is b at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -61 - -80 - (302 + -194).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-6)\/3)\/(1\/(-27)). Suppose i = -5*q + 11*q. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -0.023 (b) 2 (c) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Total of 125863 and 0.2222268.\nAnswer: 125863.2222268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be 174*(-1)\/10 - (-8)\/20. Let x(w) = -w**2 - 32*w - 92. Is x(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -4 - 4*t**2 + 5 + 4*t**2 + 0 + t**2 - 6*t. Give v(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1, 84, 241, 490, 849, 1336?\n\"Answer: 3*w**3 + 19*w**2 + 5*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -1 and 2245440.527793.\nAnswer: 2245439.527793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 223 + -651. Let w = 1237\/3 + b. Find the common denominator of w and (-2)\/6 + (-190)\/(-48).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 60 + -5 + -38 - (7 - -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2179397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1061886 to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = 2*x - 5*x + 68, 3*p + 2*x + 68 = 0. Let k be (p\/(-2))\/((-2)\/2). Let v = 15 + k. Solve -5*i + q - 2*q = -12, 0 = i + v*q - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate f**2*h*t*y - 2*f**2*h*y - 4*f**2*t*y + 78*f**2 + f*h*t - f - h*t with respect to y.\nAnswer: f**2*h*t - 2*f**2*h - 4*f**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 2*o**3 - 14*o**2 - 560*o + 4352 = 0.\nAnswer: -17, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.94 + 0.06. Let o be 4\/(-8) - (-2)\/(-4). Let r = 0 - o. Which is the closest to r? (a) s (b) 3\/7 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1840, -1803, -1756, -1699, -1632?\n\"Answer: 5*w**2 + 22*w - 1867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1.11472525 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -33631*l**2 + 0*l + 33637*l**2 - 2*l + 3*l**3 to d*l**2 + q*l**3 + x + v*l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 2*q = q - 90, 4*k + q = 305. Suppose -i + 84 = k. Suppose -i*u + 11 = -7. Sort -2, -4, u in descending order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*m = -94 + 10. Let o(x) = x**3 - 5*x**2 - 4*x - 7. Let h be o(6). Suppose t = 2*t - h. Is m greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 51717 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10*62 + 3392\/(-212) is divided by 382?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -3 - (-32)\/12 - 3\/18. Which is the closest to u? (a) 0.4 (b) 2\/9 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + -1 + -2 + -1 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4217066 rounded to the nearest 10000?\nAnswer: 4220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 225533729 or 225533730?\nAnswer: 225533729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*x - 542 + 285 + 332 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 0.60265 at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6*(-13)\/390)\/(1\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 24586420 divided by 16?\nAnswer: 6146605\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 202213, 202126, 202039, 201952, 201865?\nAnswer: 201778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -38, 1830, -7, 3, 1, 7, 5 in descending order.\nAnswer: 1830, 7, 5, 3, 1, -7, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2769, -11086, -24947, -44352, -69301?\nAnswer: -99794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 70*z - 34 - 106. Solve j + 3 = -z, 15 = 2*o - j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that -3*s**2\/4 + 1149*s\/4 - 1143\/2 = 0.\nAnswer: 2, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -802\/5 - 399\/5*u + 1\/5*u**2.\nAnswer: (u - 401)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4242156371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 0.1, 0.067 in ascending order.\nAnswer: -1\/3, 0.067, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:11 PM and 8:04 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -7755*w + 90523. Calculate h(12).\nAnswer: -2537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18 and 0 + -2*6\/(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 12 = 0, 0 = 4*z + 9*g - 13*g - 3928. List the prime factors of z.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 722*r - 370*r - r**3 + 2 - 17*r**2 - 354*r in the form t*r + y*r**3 + w + p*r**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 91455 at most 91457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2962 - -2947 - (34 + -2 - 6).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the first derivative of -5\/2*o**2 - 1\/3*o**3 + 0*o - 13. What is p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 377 and 16965.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 2\/125 of a micrometer?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 31643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1*(-6 - 6\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/51 and -1\/528.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:54 PM and 11:34 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4098, -10237, -16370, -22497, -28618, -34733?\nAnswer: -40842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -130 - -135. Solve -2*s - 4*v = s + 3, -3*v = 5*s + a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6.02 + -0.02. Let d = m + -6.01. Let t = 1.99 - d. Is 1 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -420541, -1682124, -3784761, -6728452, -10513197?\n\"Answer: -420527*g**2 - 2*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -66? (a) 0.3 (b) 6 (c) -2\/15 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 16.7 + -0.7. Let x = 13 - u. Sort 0.3, -1\/4, x in increasing order.\nAnswer: x, -1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5\/3 + 1\/3. Suppose 5*y + 0 - 20 = 0. Solve g*x = -5*v, 4*x = -y*v + 6*v + 24 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (78*x + 19*x**2 - 78*x)*(-7*x - 2*x - 1 + 5*x) in the form n*x + l*x**2 + i*x**3 + z and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -47139056 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6169\/4086 + -20\/2043. Factor t*z**2 - 1\/2*z + 1\/2*z**3 - 1 - 1\/2*z**4.\nAnswer: -(z - 2)*(z - 1)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 69 = 3*q, -3*q + 4 = -2*n - 11. Which is smaller: -13 or n?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38393869?\nAnswer: 3673, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-34)\/(-6))\/((-9673)\/(-119490)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*q**6 + 74*q**3*r + 3*q**2 - 48*r wrt q?\nAnswer: -240*q**3 + 444*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**2 - 12*k + 5. Let u be p(12). Let c(n) = 3*n - 9. Let s be c(u). Suppose 0 = s*f + 7 - 91. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2860 and 35607.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b = -6*r + 2*r - 1, -3 = -3*r - 5*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/7, -0.12, 1\/29 in decreasing order.\nAnswer: 1\/29, -0.12, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -32985201*w**4 + 9709753*w - 2.\nAnswer: -395822412*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -228*h - 66 = 205*h - 411*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 819 and 286.\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -j - 3*a = 14, -2*j + 149845*a - 149841*a = -12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -a - 6. Let o(w) = w**2 - 2 + 3 - 2 - w + w**3. Let k(j) = j**4 - 12*j**3 - 13*j**2 + 11*j + 11. Let p(f) = a*o(f) - 2*k(f). Solve p(b) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 5*c + 28. Let r be k(-6). Is -8\/5 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 177992935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is (1 - (-13072)\/6) + (-178)\/267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 + 37 = 3*m. Calculate the least common multiple of m and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.526 + -1.519087. What is r rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-5)*(-127205)\/(-3914)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -2*b**2. Let q(a) = -3*a - 4. Let y be q(-2). Let n(c) = 33*c**y - 62*c**2 + 34*c**2. Calculate n(r(l)).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -271 + 15.318.\nAnswer: -255.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -7*l*t**2 - 13*l - 6*t**2 - 1 wrt t.\nAnswer: -14*l*t - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + q**4)*(33*q + 7*q + 12*q).\nAnswer: 52*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 46 = -0*f - p, 3*p = 5*f + 115. Let o = -20 - f. Let j = -0.189 - 0.011. Which is the third smallest value? (a) 0.5 (b) 5 (c) o (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 37 + (-24 - -15) + -15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 50.72882 millilitres?\nAnswer: 0.05072882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 6*f. Let j(c) be the first derivative of 0*c - 1\/2*c**2 + 1. Determine j(p(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 21*j. Let s(y) = -3*y**2 + 329. Calculate s(i(n)).\nAnswer: -1323*n**2 + 329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (36\/12)\/(4\/(120\/18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a + 20, -2*y = -y + 2*a - 135. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -10*v**2 - 1. Suppose 3*m + 8 - 23 = 0. Calculate the common denominator of m\/(-20) - (-1 - 324\/(-176)) and i(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -38 - -37.62. Let t = m - -0.88. Which is the nearest to -1\/3? (a) -1\/2 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2786324 (base 13) to base 7\nAnswer: -211130132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (19 - -8) + 1 + (-15 - -7)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -385 and 1912.194898875?\nAnswer: 2297.194898875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is ((-19272)\/(-96))\/(-73)*(8\/5)\/2?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1053)*2 + (sqrt(13)*-1)**2*5 + (-1*sqrt(13)*-1 + sqrt(13))**2 + sqrt(143)\/(sqrt(11)*1).\nAnswer: 19*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/144 and -33\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, -6, 1 in decreasing order.\nAnswer: 1, 0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 3*m = -21, -2*q + 0*m = -m - 57. Let t = 4 + q. Suppose -t = 4*b - 6*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/9, -5, 2, 9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24699.\nAnswer: 3, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be 5\/(-2) - (4 + (-63)\/14). Suppose 3*y = -2*q + 3*q + 11, -y + 3 = -q. Put -5, q, c in decreasing order.\nAnswer: q, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 10*v**4 - 6115*v**3 + 9150*v**2 + 5*v - 3050 = 0.\nAnswer: -1\/2, 1, 610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = r - 30. Let m be r\/1*1\/2. Suppose -2*b - 3*i = -0*i - 37, 35 = 2*b + m*i. Solve -3*c - c = b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24 - -2) + 24 + -16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 2065 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -3*n. Let c(i) = -4*i**2 + 5*i**2 + 2*i**2. Determine c(l(f)).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2552298, 20418438, 68912242, 163347540, 319038162, 551297938?\nAnswer: 875440698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 46 + -46. Solve -4*l + q*l = -16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 3772, 15208, 34276, 60982, 95332, 137332, 186988?\n\"Answer: t**3 + 3810*t**2 - t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.03 - 734.9.\nAnswer: -734.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of (-2754)\/(-10) + (-9)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*x - 40 = -3*x, 3*x + 35 = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 6947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (82\/1107)\/((8\/18)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is (-6)\/16*15072248\/(-97) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -6*a - 1. Let b be w(1). Let g(v) = -8*v + 8*v**2 - 3 - 2*v + 1 - 9*v**2. Is g(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-38 + 8)\/(3\/(-2)). Suppose -4*y = -4*f - t, -5*y + 11 = -3*y - 3*f. Suppose -5*o + y*o = -5. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 27832077 by -13.\nAnswer: -2140929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*q = 10*q + 18631. Let u = q + -7819\/13. Is 0.05 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -6*r**2 - 10*r - 246 - 6*r - 14*r + 32*r as h*r + q + k*r**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 10:43 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**3 + 5*j**2 - 4*j + 12. Let f(k) = -5*k + 31 - 3*k + 33*k**2 - 8*k - 34*k**2. Let u be f(-18). What is the smallest common multiple of 28 and r(u)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/40*2*2. Let m = 383608 + -383607.885. Which is the closest to 2\/5? (a) 5 (b) m (c) z (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z**2 + 7*z + 8. Let l(d) = d. Let x be l(-6). Let w be y(x). Let o(h) = h**2 + 2*h - 4. Let r(s) = 3*s**2 + 7*s - 13. Calculate w*r(a) - 7*o(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*b + 4 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 6156.943 millilitres?\nAnswer: 6.156943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (21*x**2 - 407 + 407)*(5*x - 3*x - 3*x + (5 - 6 - 1)*(-5*x + 4*x + 0*x)) to the form s + o*x + z*x**3 + t*x**2 and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 - 1. Let r be (-3)\/(-3)*3\/3. Let n be r*4\/(-44)*2. What is the nearest to g in -2\/17, 2\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-196)\/147*(-3)\/4. Let h = 7\/38 + -1445\/57. What is the common denominator of h and -2 + k - (-49)\/(-70)*-19?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 30184770 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -3520664?\nAnswer: 1\/3520664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 2\/5*y - 2\/5*y**2.\nAnswer: -2*y*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 4*k = 3*k - 67, -89 = -5*g - 4*k. Let d = g - 20. What is the remainder when 5 is divided by 4\/(-3)*(-2 - d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 * 3088344.\nAnswer: 9265032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 8 + -8 - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(1\/12)*c**(2\/3) assuming c is positive.\nAnswer: c**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -23*x - 199*x + 18*x - 115*x + 46*x as f*x + n and give f.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 61\/16295433 and -181\/30492?\nAnswer: 195545196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(704) - (sqrt(704) + -1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13996039 divided by -8909.\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 526.0001444 + -526. What is k rounded to 6 decimal places?\nAnswer: 0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 43003 - -15615?\nAnswer: 61621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u - 12 - 12. Let r be 1*(0 - (3 - 5)). Let s be u\/(-6)*(-9)\/r. Solve 3*w + l = -s, -3 = 3*l + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 128\/731217 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is c61c4 + 11?\nAnswer: c61d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i, 3*i = -3*d + d - 6. Let w = d + 6. Factor 3\/2*s**4 - 3\/2*s**2 + s**w - s + 0.\nAnswer: s*(s - 1)*(s + 1)*(3*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(52)\/sqrt(4)*5 + (sqrt(13) + 0)**2 + 1 + sqrt(13).\nAnswer: 14 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 4*w = 75, 0*x + 463 = -5*x - 2*w. Let b = x + 115. What is the greatest common divisor of b and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kxd when three letters picked without replacement from ddxkdxddxjcckkc?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*g - 45 = 51. Let b be 1*((0 - g) + -3). Suppose 4*y = 3*s + b, 4*y + 4*s = y + 35. Sort 16, -4\/3, y in descending order.\nAnswer: 16, y, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the first derivative of -c**3\/3 + 5*c**2\/2 - 3*c + 237. Calculate i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.57 rounded to one decimal place?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -988, -1903, -2808, -3697, -4564, -5403, -6208?\nAnswer: -6973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a + 2*a - 2*a)*(-117*a**2 - 711*a**2 + 6645*a**2 + 2272*a**2).\nAnswer: -16178*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 40*u**5 + 13*u**4 + u**3 - 12*u**2 + 10532197*u.\nAnswer: 800*u**3 + 156*u**2 + 6*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Evaluate 1330\/(945\/(-27))*4\/(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 162 a factor of 309655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -2*t - 7. What is the units digit of 2*1\/t*-122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1417\/2 - 661. Calculate the common denominator of q and 29\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 39 (base 16) to base 5.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -14.0633822295 + -0.3?\nAnswer: -14.3633822295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*-2*sqrt(128) + ((sqrt(128)*-1 - sqrt(128))*-6 - sqrt(128)))*5 + -1 + -3)**2.\nAnswer: -6720*sqrt(2) + 1411216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + 2.5. Let n = -2 + v. Let s be (-6)\/21 - (72\/21)\/2. What is the nearest to 2\/7 in s, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + c - 2 + 22 = 0, -5*c - 55 = -5*d. Let k be (-14)\/(-12)*2*d. What is the smallest common multiple of 22 and 90\/k - 2\/7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 40 and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21246, -21297, -21348, -21399, -21450?\nAnswer: -21501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(63))\/sqrt(9) + 3 + sqrt(7) + -2 + -4 + -4.\nAnswer: -7 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -2058474 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 30 = 5*k, 0 = 4*l - 3*k - 17 + 46 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -4 plus -5790?\nAnswer: -5794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f - 16. Let p be c(14). Let z(q) = -q - 6. Let w(h) = 4*h + 19. Let r(k) = p*w(k) - 7*z(k). What is r(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in 7, 0.3, -1280?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in g**2 + 23 - 2697*g**3 - 18 + 2693*g**3.\nAnswer: -4*g**3 + g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes after 1:00 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 20*k. Let s be 21\/21 + (-44 - 1). Let i be 72\/33 - ((-184)\/s - 4). Let n(m) = -55 + 55 + i*m**2. Give y(n(g)).\nAnswer: 40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -0*j + 94. Let p(d) = -2*d + 115. Let z be p(10). Let u = j + z. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(3\/(2\/(1\/1))*(-47479)\/(-1566807))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (32\/(-8) - -5) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -17*o - 375. Calculate the least common multiple of 268 and w(-23).\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -363334 (base 7) in base 13?\nAnswer: -24091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 3 (b) -0.1 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3 + 9.627.\nAnswer: 9.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**2 + 14*m - 43. Calculate the smallest common multiple of 156 and v(7).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (97110\/(-26975))\/((3\/(-10))\/((-1)\/(-2)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.8 (b) 5 (c) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -569, -14894, -42925, -84656, -140081, -209194?\nAnswer: -291989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -7, 0.02, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5 - 2912?\nAnswer: -2917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 119*l**2 - 2 + (4*l - 4*l - 2*l)*(6*l - 2*l - l) - l**2 + 1 - 1.\nAnswer: -126*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 y and 1 l when four letters picked without replacement from {l: 4, y: 10}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m and 2 c when four letters picked without replacement from {m: 3, c: 7, o: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuuuuuuuuuzuhz. Give prob of sequence uu.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((42 - 3569\/86)*5)\/((-6)\/4 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put together -917 and 0.105627057.\nAnswer: -916.894372943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -24, -12, -2\/9, -3, -1 in increasing order.\nAnswer: -24, -12, -3, -1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sssssmmssssmsm.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that 4*d**4\/3 + 296*d**3\/3 - 2188*d**2\/3 - 45536*d\/3 + 65728 = 0.\nAnswer: -79, -12, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 114 = 5*s - 31. Calculate the remainder when 48 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) be the third derivative of -18*q**2 + 1\/12*q**4 + 0 + 0*q**3 + 0*q. Let g(t) = 50*t**2. What is f(g(n))?\nAnswer: 100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 9*t + 9. Suppose -6*g + 22 = -20. Let n(p) be the first derivative of -13*p**2\/2 - 14*p + 4910. Determine g*w(x) + 5*n(x).\nAnswer: -2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -5*q**2 - 7*q + 27. Let r(x) = 11*x**2 + 17*x - 55. Let g(v) = 13*h(v) + 6*r(v). Determine g(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1cea (base 15) to base 7.\nAnswer: 24232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3.01 + -3. Let k = -19.981 - -20. Let j = y + k. Round j to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 206 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 12*f**2 - 216*f - 1379. Let d be n(-5). Let r = -79 + 52. Put 1\/13, d, r in ascending order.\nAnswer: r, 1\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14855822 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -75 (b) -11.3 (c) -119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rm when two letters picked without replacement from {o: 1, m: 1, r: 1, w: 2, a: 2, z: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w**2. Let s(g) = -3*g**2 + 61. What is b(s(c))?\nAnswer: -9*c**4 + 366*c**2 - 3721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 42498 is divided by 749?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -16*o - 6. Let r(s) = 29*s + 11. Let y(c) = 6*r(c) + 11*u(c). Let k(l) = 6*l - 2. Calculate y(k(v)).\nAnswer: -12*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (-112)\/(-8) + 1 + 40724 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17 - -2 - 7 - 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 460 + -43?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f**3 - 11*f**2 + 14*f + 20. Determine p(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - ((-21)\/(-6) - (-7)\/(-14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 118, 223, 330, 439, 550, 663, 778?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-68)\/14 + 72\/84. Let n be -3 - 2\/(1\/1). Which is bigger: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:02 AM and 11:58 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 130 and 6110?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 187 - -3323868?\nAnswer: 3324055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3157 - 3151. Solve -k*q + 43 = 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10 - 6. Let l(k) = -k**3 - 29*k**2 + 59*k - 97. Let b be l(-31). Put -5, 5, j, b in increasing order.\nAnswer: -5, b, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 - -11. Suppose -i*l + 4*l + 45 = 0. Suppose l = 5*c - 30. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 90 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 5*t - 57. Give k(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1434 - -0.007\nAnswer: 1434.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -78, 69, -1\/2 in ascending order.\nAnswer: -78, -1\/2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -757*i + 759*i - 4*h + 10, 4*h - 8 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**2 - 2*d + 4. Let j be v(0). Suppose -94 + 22 = -j*i. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*((v\/(v**(2\/5)\/v)*v)\/v*v)\/v)\/(v*v**(-6\/17)) assuming v is positive.\nAnswer: v**(166\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = 4*c, 5*c - 2 = 5*o + 13. Let j be -4 - 3\/(-2 - c). Let z(l) = l**2 + 3*l. Let p be z(j). Is 1\/6 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.41578109 to four decimal places.\nAnswer: 0.4158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes before 1:48 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4733\/38 + -743\/6. Find the common denominator of v and 67\/357.\nAnswer: 6783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5042 - -5041. What is the closest to -2\/15 in 19, -5, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1 - 3571658022.\nAnswer: -3571658021.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m**4 - 3412*m**3 + 176992*m**2 + 180400*m = 0. Calculate m.\nAnswer: -902, -1, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the first derivative of 2*u**2 - 7*u + 150. Suppose 8*w + 216 = -40. Let z be w\/(-10)*1*10\/4. Give c(z).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*q + 4*q + q + (-q - 2*q + 5*q)*(-2 + 1 + 2) + 2*q - 3 + 3 + (2 + 1 + 6)*(0*q - q + 0*q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 105857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 188, 364, 536, 704, 868, 1028, 1184?\n\"Answer: -2*b**2 + 182*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*u + 12*u - 26*u + 12*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -120*h + 32*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o**2. Let h(k) = 1. Let u(v) = -3*v - 2. Let x(c) = -2*h(c) - u(c). What is x(y(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 2*j = 4*f - 5, -4*f - 4*j - 68 = 0. Let z = f + 19. Let x = z - 4. Solve -11 + 1 = x*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -2246 (b) 0 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 7*f**4 + 6*f**2 + 0*f + 5*f + 0*f. Let a(p) = -p**2 - p. Let s(z) = -6*a(z) - g(z). What is the second derivative of s(o) wrt o?\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1587*m - 126*m - 239*m + 883*m to the form h*m + y and give h.\nAnswer: 2105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -c*o**4 + 2*c + 81*o**4 - o**3 - 337*o wrt o.\nAnswer: -12*c*o**2 + 972*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*w = -4*p + 5*w - 4, -5*p - 5 = -5*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 74.2 + 9.8. Let k = b - 84.00118. What is k rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, n: 3, g: 5}. Give prob of picking 1 g and 1 n.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 2 s when three letters picked without replacement from gsqfsssssvqzfffqf.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:42 PM and 2:30 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 92 + -92. What is the closest to d in 0.2, -3\/4, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 95.38952 kilograms to nanograms.\nAnswer: 95389520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -14433 (base 6) to base 15.\nAnswer: -a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2893380271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1172 in -3, 320, -2\/7, -4\/5, 2\/17?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**3 - 5*j**2 - 6*j - 6. Let v be i(6). Let w be ((-2)\/(-10)*4)\/v. Sort w, -2, -14 in ascending order.\nAnswer: -14, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1074665 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -7 - 8. Let m(c) = 2*c**2 - 11*c + 5. Let g be m(l). Suppose -9*y + 3*y + 498 = g. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1dd (base 16) to base 9\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m + 8. Let u(c) = c**3 + 8*c**2 - 10*c - 9. Let f be u(-9). Let b be s(f). Is 7 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 bigger than -90\/1413773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*l**3 + 12955*l**2 - 5853320*l.\nAnswer: -5*l*(l - 2008)*(l - 583)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 888*a - 2. Let l(j) = -7*j**2 - 36*j - 9. Let o(b) = 8*b**2 + 40*b + 10. Let m(i) = 10*l(i) + 9*o(i). Give m(c(t)).\nAnswer: 1577088*t**2 - 7104*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3071 - -3071.5. Put f, 2, 4, 1\/461, -2\/35 in ascending order.\nAnswer: -2\/35, 1\/461, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -775*r - 14*r = 501*r + 58050 for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*n + 25 = 7*n + 89 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes before 9:17 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 5*t = 18. Which is smaller: t or -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56645249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56833936.\nAnswer: 2, 281, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 - 9 = 3*k. Suppose 13*y = -k*y. Does 9 divide (y - 22)\/(1\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 32 and 36416192?\nAnswer: 36416192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 4 + 4)*(2*k + k - 2*k) - k + 2*k - 3*k + 53*k + 1571 - 780 - 790 to t + f*k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be 21*1\/((-33)\/(-10)). Let b = -908 - -913. Which is bigger: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 15, 1, -5, 5, 4 in increasing order.\nAnswer: -5, 1, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -3, -6978.\nAnswer: -6978, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*q - 4 + 8. Let n(p) be the first derivative of -1\/2*p**4 - p**2 + 0*p + q + 4\/3*p**3. Factor n(d).\nAnswer: -2*d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 + 11*g**2 - 24*g + 57. Let v be k(9). Solve 5*w - v*c + 5 = 7*w, 0 = 4*w + 2*c - 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2*(-2)\/(-8)*30. Suppose 6*y = y + b. Solve -3*h - a - y*a = 6, 0 = -a - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*(120\/18)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17387865?\nAnswer: 3, 5, 11, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 65789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = 5*c - 35, -2*g - 2 = -4*c + 26. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes after 12:27 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 219720611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 210 - -5053?\nAnswer: 5303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -183 + 1649\/9. Solve 2\/9*z**3 - 2\/9*z + 0 - p*z**4 + 2\/9*z**2 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7868143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8515364?\nAnswer: 2, 11, 13, 14887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1096 - -637. Let o = a + 448. Is -13 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 628 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u**2 + u**3 + 2*u**2)*(-4 + 9 + 13).\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v\/v**(1\/2)*v)\/v**(-7))\/(v**9\/(v*v*v\/(v**7*v))) assuming v is positive.\nAnswer: v**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes after 12:58 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/(16\/24*6\/(-130)). Let z be (52\/d)\/((-14)\/10 - -1). Factor 7*a**z + 8*a - 7*a**2 - a**3 - 7*a**3 + 4 - 4*a**4.\nAnswer: -4*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 + -1101100110011?\nAnswer: -1101100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/2 of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -14*h**3 - 3*h**2 + 3*h + 3. Let d(l) = -27*l**3 - 5*l**2 + 5*l + 5. Calculate -3*d(a) + 5*i(a).\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-5) - 108\/(-315)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 674564 (base 8) to base 4.\nAnswer: 313211310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -0*h + 3. Find the first derivative of -4 + 3 - 3*i**3 + 2*i**3 - 2*i**h wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i = 2*w - 11, -16 = -5*w - 14*i + 18*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 48, -68, -184?\n\"Answer: -116*t + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**3 + n**2 - n - 5. Give u(-4).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 2 i when three letters picked without replacement from {x: 1, f: 3, i: 2, p: 4, w: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -9 (base 16) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 4*p + 3. Let z(j) = 2*j**2 - j**2 + p*j**2. Is z(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -1672612*o. Let h(n) = 5*n**2. What is h(q(d))?\nAnswer: 13988154512720*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 137859 is divided by 67944.\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -5706*w. Let v(a) = -51*a**2 + 3*a. Calculate t(v(r)).\nAnswer: 291006*r**2 - 17118*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.5 and 2273523.345665.\nAnswer: 2273522.845665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/8 + 22047\/(-540). Let a = k + 697\/15. Find the common denominator of ((-22)\/(-99))\/((-12)\/333*-4) and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 46.71 + -47. Let o = t - 0.11. Let s = 10 + -9.9. Which is the nearest to s? (a) 0.3 (b) o (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2653435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 95*i + 5*i + 52*i + 119*i + 6*i.\nAnswer: 277*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 227*f - 114*f - 83*f - 94*f.\nAnswer: -64*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.4098 - -0.1098. Suppose 3*s = -3*p + 3, -s + 6*p - 5 = p. Let h be (3\/15)\/(-1 - s). What is the biggest value in g, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 269245 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {p: 11, g: 1, f: 5, h: 2, r: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 10259 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -x**3 - 9*x**2 - 8*x + 8. Suppose 3*y - 3 = 3. Let k be (-12)\/(y - (-3)\/(-6)). What is the remainder when 30 is divided by b(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.230941 tonnes to nanograms.\nAnswer: 6230941000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be (6 - 3) + (4 - 2). Suppose z = s*z - 408. Let p = 171 - z. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6 - 813*s**3 + 4 + 990*s**3 - 2*s**2 - 645*s**3 to t*s + y*s**2 + w*s**3 + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d**2 - 6*d - 6. Let j(z) be the first derivative of 5*z**2\/2 + 5*z + 26. Let y(n) = 6*j(n) + 5*l(n). Let r = 55 + -56. Give y(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 270475 and 775.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of b*h**2*r**3 - 4*b*h**2*r**2 + 10*b*r - 438*h**2*r**3 - 14*h**2 wrt r.\nAnswer: 6*b*h**2 - 2628*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*o**3 - 46*o**3 + 37*o**3.\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1543111 + 33.\nAnswer: 32.8456889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -184\/7 - -26. Let s = 0.1 + 0. Which is the nearest to s? (a) m (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:43 PM and 4:56 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-5 - (-4 - 1))*-1 + -1. Which is greater: -6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 302 + -302. Suppose -4*z = -4*u - 20, -10 = 3*u + 2*u. Solve q = n - z*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 553, 1107, 1661?\nAnswer: 2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1.25 in 0, 4, 0.1, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**2 + 14*h + 1792. Calculate b(50).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 42 - 38. Solve -3*c + 2*p - 2 = -2*c, 4*c + w*p - 28 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -248.1 - -248. Let u = 66 + -68. Which is the third biggest value? (a) -0.07 (b) u (c) l (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n + 72 = 2*n. Let c be (n\/42)\/(3\/14). Let j(l) = 0*l + 2 + 2 - l**2 + 2*l. What is j(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21337 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/1006686 and -79\/4865649?\nAnswer: 29193894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1865148*t + 1865110*t - 2 + 2.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the third derivative of b**5\/120 - 1177*b**4\/8 + 4155987*b**3\/4 + 10739*b**2. Suppose x(r) = 0. What is r?\nAnswer: 3531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13.6 + -11. Let a = -2.04 + h. Let o = a - 0.9. Round o to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -32.7 - -33. Sort x, -4\/3, 1\/3 in increasing order.\nAnswer: -4\/3, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the second derivative of m**5\/5 - 5*m**2 - 8*m. What is the first derivative of t(b) wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.1879 and 0.0315985417.\nAnswer: -0.1563014583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 1161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-40)\/13780*26*7\/224*8.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*s**2 + s**2 - 3*s**2)*(-5 + 365*s - 27*s + 5).\nAnswer: 676*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 3*m + 747 = 2*s, 5*s = 3*m + 1253. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1024201 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -519? (a) 4\/121 (b) -3 (c) 3\/17 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((-61)\/(-5))\/((-26)\/(-65)*6\/(-12))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*d**4 + 3560*d**3 + 950520*d**2 + 112795040*d + 5019379280 = 0.\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/16 of a centimeter in micrometers?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1198 divided by 2?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2434, 1916, 1398, 880?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6032 and 14587?\nAnswer: 3034096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 125091 is divided by 907.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is q in -237*q**2\/4 + 4493*q\/4 + 95\/2 = 0?\nAnswer: -10\/237, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/4 in 5, -0.4, -4.7, 0.27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be -1 - (-4 + 1)*1. Let q be 4\/(-6)*(b - -1). Let r be ((-3)\/9)\/(-1) + q\/6. Which is greater: r or -1\/85?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -6, -2*x - 26 = 7*o - 12*o. Suppose -q + 1121 = -o*c, 8*c - 6 = 5*c. What are the prime factors of q?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -832.31 + 4?\nAnswer: -828.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -27*s + 8 + 31*s - 2 in the form v + r*s and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(2\/5)\/x**(-3\/2)*x**3*(x*x**6)\/x*x*((x*x**(5\/3)\/x)\/x*x**(-5))\/(x**5\/(x\/(x\/((x**1\/x)\/x)))) assuming x is positive.\nAnswer: x**(47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, o: 8, r: 2, v: 5}. What is prob of sequence rvop?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -7*d**2 + 2 + 5 - 1. Let z(r) = -11*r**2 + 15*r. Let q(a) = -a**2 + 3*a - 1. Let x(b) = -5*q(b) + z(b). Determine -5*j(u) + 6*x(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 + 5*x**2 + 5*x - 1. Let u be y(7). Let s = 109 + u. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 342\/(-4)*(-48)\/(-18). Let j = m - -231. Solve 5*t + 3*z - 30 = 2*z, j*t + 2*z - 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**3 - 12*g**2 - 45. What is f(-13)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 4*y**2. Let o(r) be the first derivative of 5*r**3\/3 - 25*r - 29. Let k(t) be the first derivative of o(t). What is k(p(d))?\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 207350?\nAnswer: 2, 5, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 168 a factor of 133560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 3315928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -5*b - 235, 4*d - d = -4*b - 161. Let u = 134\/3 + b. Let a = -14 + 12. What is the second smallest value in u, -27, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -u**2 + 11*u**2 + 411 - 411.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*z**3 - 2 - 2*z**3 + z**3)*(2371 + 2947 - 1623 - 9738) to o*z**2 + d*z**3 + a + i*z and give d.\nAnswer: -6043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -24 + -13370102?\nAnswer: -13370126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1490 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 29777, 29768, 29759?\n\"Answer: -9*b + 29786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.9 + -2.1. What is the nearest to -0.4 in a, -2\/5, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -39028493, -5, -1, 2 in ascending order.\nAnswer: -39028493, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + 4*(sqrt(1539) + 0 + -5) + -2)**2.\nAnswer: -1728*sqrt(19) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 0.038, -3, 1\/5, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 1)*(9448 + 170*z - 9448)*(0 + 4 - 2)*(0 - 1 - 2*z + 0).\nAnswer: -1360*z**2 - 680*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 1735 divide 906881030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6386*z - 36375 wrt z.\nAnswer: 6386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s\/(s*s*s**6))*s**(-8)*s*s*s\/(s\/s**(-1\/6))*s*s*s**(1\/3))**9 assuming s is positive.\nAnswer: s**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.4 + 3.4. Which is the third smallest value? (a) h (b) -0.1 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -34 + 50 - (-3 - (-5 + 1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 0 + 32*a - 31*a - 2. Calculate z(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7 + 3 - 5*q - 16*q**2 - 13 + 4 to r*q**2 + h + l*q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 639 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -90, -180, -286, -414, -570, -760?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/60 - -4) + 5\/((-15)\/18)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l\/l**(1\/10)*l*l*l**42*l**(-5)*l*(l\/l**(-17\/4))\/l assuming l is positive.\nAnswer: l**(903\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 15 = -t + 6*t, 3*g + 5*t = -25. Which is the second biggest value? (a) 0.5 (b) g (c) 2\/3 (d) 327\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 23 - 16. Let n(j) = j**3 - 8*j**2 + 6*j - 3. Let f be n(o). Is -2 + f*(-54)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4*(-6)\/(-6))\/((-2)\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.039 + 0.961. Which is the second smallest value? (a) 0.1 (b) 0.5 (c) k (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 38401795?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-7)\/((v\/(v**(-3\/7)*v))\/v))\/(v\/v**(-1))**49 assuming v is positive.\nAnswer: v**(-731\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 42 + -30. Suppose -5*q = -4*n + 4214 - 238, -l = -3*n. Let x = -559 - q. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000150121784 to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g + 8. Let y be w(5). Let v be (-20)\/(-25) - (-286)\/5. Let d = v - y. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.3, -5, 0, -2\/23, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(243) - (sqrt(243)*-2 - sqrt(243))**2) + -4 + 5 + 4 - ((2 + sqrt(300))**2 + -5 + (sqrt(300) - (-4*sqrt(300) + 2 - sqrt(300))**2)).\nAnswer: -241*sqrt(3) + 5023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m + 2*m - 4*m)*(9 + 1 + 2).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 3*l**2 - 11*l + 4. Let x be -10 + 3 + 0 - -3. Let i(f) = f**2 + 8*f + 12. Let p(z) = z + 1. Let k(y) = 2*i(y) - 22*p(y). Give x*q(m) + 7*k(m).\nAnswer: 2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 5 = -3. Let s = 90 + -85. What is the least common multiple of r and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 111000011 (base 2) to base 4.\nAnswer: 13003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3493629826?\nAnswer: 2, 19, 29, 3170263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 3\/7 (b) 40 (c) -38 (d) 1 (e) -3\/20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/4 - (-105)\/20. Let u = 3.7 - 0.7. What is the second biggest value in u, 2\/7, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111203301 (base 4) in base 14?\nAnswer: 24277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the second derivative of -v**3\/6 + 6*v**2 - 5*v. Let o be s(12). Solve 0*l + 3*l - 6 = o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3406766 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 674492?\nAnswer: 2, 7, 13, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 16 - 15. Suppose -p - 4 = -2. Let n = a - p. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 2 v, and 1 x when four letters picked without replacement from xoxxvvovxvo.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.009316885 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s + 180 - 26. Suppose 15*l + 17 = s. Let u be 4\/(-10) + 714\/35. What is the greatest common divisor of l and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*h + 4*h = 12*h - 3795. Calculate the remainder when 810 is divided by h.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 6292920250?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f**4\/5 + 116*f**3\/5 - 1102*f**2\/5 - 116*f\/5 + 1104\/5 = 0. Calculate f.\nAnswer: -1, 1, 12, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -237552 divided by 21?\nAnswer: -11312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 58*s**2 + 3401*s - 50908. Give j(-71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + h = 624. What is the derivative of -197 + h - 17*u**2 + u**2 wrt u?\nAnswer: -32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r**2 + 4*r + 20. Let p(n) = n + 4. Suppose c + 1 = 3*d, -4*c + 0*d = -3*d - 5. Let y(t) = c*w(t) - 11*p(t). What are the prime factors of y(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 255842999674.599997522 - 255842999959. Let z = 284.4 + d. What is z rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -764688*m**2 + 2*m. Let r(g) = g. Determine r(l(z)).\nAnswer: -764688*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1799, 7221, 16263, 28925, 45207?\nAnswer: 65109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -3, 5, 49, -5 in decreasing order.\nAnswer: 49, 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4687757481 rounded to four dps?\nAnswer: -0.4688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*y**3 - 2*y**3 - 3*y**3)*(-3*y + 2*y + 2*y) + 131*y**4 + 431*y - 431*y + 3*y**4 - 1 + 1 to j*y**2 + k*y + l*y**3 + n + f*y**4 and give f.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are 2\/3 and 63 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(3*4\/(-84)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*l + 22 = 296 + 86 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 202 divide 754710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = 161 + -167. Let y = 25 + -50. Let p = d - y. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 492 minutes after 10:34 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**2 - 161*k + 565. Give m(0).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 12*m - 5. Let a(z) = -2*z**3 + 11*z**2 - 2*z - 4. Let l be a(5). List the prime factors of i(l).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 19432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 7, m: 3, u: 7, i: 3}. Give prob of sequence hhu.\nAnswer: 49\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010110111110 - -101011111?\nAnswer: 11011100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**3 + 8*n**2 - 4*n + 3. Let a be q(-8). Differentiate 44 + 16*p**2 - a + 6*p**2 with respect to p.\nAnswer: 44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s - 1. Let n(y) = 4*y**2 + 6*y + 6. Let l = -100 - -99. Let z(t) = l*n(t) - 6*u(t). Let k(a) = -4*a + 3. Determine k(z(m)).\nAnswer: 16*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence apai when four letters picked without replacement from ppiiaelaprrepr?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3, -5, 614, 818 in ascending order.\nAnswer: -5, -3, 4, 614, 818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 111679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 248, 252, 258, 266, 276, 288, 302?\n\"Answer: u**2 + u + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3 - -4 - 1) + 6. What is the third derivative of -4*w**2 - 3*w**6 + 3*w**6 - 2*w**v wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/858 and 85\/624.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 25885 and 668?\nAnswer: 103540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*w**3 - 153*w**2 - 940*w + 941*w + 174*w**2 to m*w**2 + z*w + n*w**3 + f and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-26)\/(-8) + -3 + (-1563)\/12. Let l = -389\/3 - i. What is the nearest to 1\/3 in 1, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 782992*b**2*c**4 + 8*b**2*c**2 - 11*b**2 wrt c?\nAnswer: 18791808*b**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 9*u = 12*u + 1633, 976 = 3*p + 2*u. Calculate the remainder when p is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**2 - 270548*y + 9149527538.\nAnswer: 2*(y - 67637)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x*x*x**(-13))**(28\/5)\/(x**(10\/9)*x)**41 assuming x is positive.\nAnswer: x**(-1283\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2387418 (base 9) in base 6?\nAnswer: 43453025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2276501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3181228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-304)\/14 - (152\/42 - 220\/66).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:42 PM and 5:46 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -14*v**2 - 81*v - 36. Let c(u) = -29*u**2 - 161*u - 71. Suppose 8 = -21*g + 23*g. Let m(t) = g*c(t) - 9*w(t). Let m(x) = 0. What is x?\nAnswer: -8, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 3*j**2 + 33*j - 229. Determine a(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23307528?\nAnswer: 2, 3, 19, 79, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-36)\/20*1)\/(30\/100)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the third derivative of -u**7\/1995 + u**6\/38 + 13*u**5\/114 - 5*u**4\/38 - 64*u**3\/57 - 3*u**2 + 178. Determine y so that g(y) = 0.\nAnswer: -2, -1, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1 - -3. Sort -2\/7, b, -1\/2, -0.7.\nAnswer: -0.7, -1\/2, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 7*c**2 - 4 + 162*c**3 + 2.\nAnswer: 162*c**3 + 7*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (8 + 1 - 2)*(-90*d + 432 - 432) as z + r*d and give r.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2661463 + 1281263. What is p rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p + 2*k - 4219 = 2*p, 2*p - 2*k - 1696 = 0. Is 37 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-15)\/(-9) + (-458)\/(-6). Let j = c - 103. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8031 and 12.\nAnswer: 32124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a + 5*h - 5 = 0, 0 = 2*a - 0*a + h - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 - -3. Let j be (-1)\/b - 2 - 0. Let u be (2\/j)\/((-14)\/(-6)). Is 0 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o**3 - 1 + 1)*(-o + o - o) + 3 + 8*o**4 - 3 + 0 + 0 - o**4 + 4*o**4 + o**4 - 3*o**4 + (-o**3 + 0 + 0)*(0 - o + 0).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -27ae - -a4ba?\nAnswer: 7c0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27409 is divided by 90.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 379, 776, 1173, 1570, 1967, 2364?\n\"Answer: 397*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -122\/3427 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 + 7b6?\nAnswer: 7b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 times -629?\nAnswer: -62.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 65858356.\nAnswer: 2, 263, 62603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 16*p**2 - 18*p**2 + 16*p**2.\nAnswer: -18*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -5*k + 7. Let j(s) = -4*s + 4. Let w(a) = a - 1. Let z(r) = -j(r) - 3*w(r). Let f be z(k). Solve 0 = -2*q - f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 2*t + 2. Calculate j(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.4, -30\/13319, 0.3?\nAnswer: -30\/13319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -221496 by 33.\nAnswer: -6712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 137768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0964813 centimeters in nanometers?\nAnswer: 964813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u**3\/7 + 36*u**2\/7 - 705*u\/7 + 1242\/7 = 0 for u.\nAnswer: -23, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 87 + -85. What is the second derivative of -54 - 16*g**4 - 1289*g**2 - g + o*g**3 + 1289*g**2 wrt g?\nAnswer: -192*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 149012.3 years to months.\nAnswer: 1788147.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 24*m + 183. Let t be b(-6). Suppose 4*j + 2*y + 7 = -t, -4*j = y + 51. Sort -2, 1, j, 2 in increasing order.\nAnswer: j, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*o - 2*o + 0*o - 6*o + 7*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, k: 1, h: 1, z: 1, b: 2, c: 1}. Give prob of sequence zh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -1240068\/13 less than or equal to -95390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 627 = -z, 0*c + 3*c = -4*z - 367. Let a = c - -124. Let v(y) = 966*y. Let q(j) = -23*j. Let r(l) = 253*q(l) + 6*v(l). Determine r(a).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 563*u**2 - 82*u**2 - 50*u**2 - 5*u - 26 + 3*u.\nAnswer: 431*u**2 - 2*u - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert aa (base 16) to base 6.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1853485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(5) + 1 + -1 + 3 + sqrt(5) + -2)*5)**2 + 0.\nAnswer: 100*sqrt(5) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ffhc when four letters picked without replacement from {o: 1, c: 1, h: 3, q: 2, f: 3, j: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = r**2 - r + 15. Let n(k) = -k**3 + 5*k**2 + 2*k + 15. Let v be (5 - (-6 + 2)) + 3\/(-1). Let s be n(v). What is the hundreds digit of p(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 131 + -86. Suppose -b = -v + 11. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -4*v**2 - 5*v + 1. Let k(z) = -6*z - 3*z**2 - 9 - 2*z**2 + 11. Let t(n) = -2*k(n) + 3*s(n). Suppose t(j) = 0. Calculate j.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 235 divide 41873005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 87\/4 of a gram in milligrams?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**3 + 6*d**2 + d + 10. Suppose v + 26 = 4*a, 5*a - 26 - 15 = -3*v. Let g be m(a). Let c = 27 + g. Sort 5, 3, c in descending order.\nAnswer: 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13 times -62881?\nAnswer: -817453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from oerrrdreddoeeee.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 141624, 148495, 155368, 162243, 169120, 175999, 182880?\nAnswer: 189763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 168239.\nAnswer: 37, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11 - 6. Let y = -0.87 - 4.03. Let j = y + i. Sort -2, j, 1.\nAnswer: -2, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 246, -176, -432, -516, -422?\n\"Answer: i**3 + 77*i**2 - 660*i + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4619646, 9239290, 13858934, 18478578, 23098222, 27717866?\nAnswer: 32337510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve n = 2*o - 13, o + 4 = 2*o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-1216)\/(-24))\/(2\/6). What is the greatest common divisor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*f - 36 = 12*f. Let o be 3\/(((-81)\/f)\/(-9)). Suppose -5*b + 75 = -o*b. Solve 0 = 4*q - 9*q - b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -275 + 279. Put -2, 1, 5, s in decreasing order.\nAnswer: 5, s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2166275 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**3 + 10*r**2 + 12. Suppose 4*d + n - 32 = 0, d - 5*d - 3*n = -40. Is l(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6 + 11. Suppose 5 = i - 16. Let o be 75\/i + 4\/(-7). Solve d*t - 6*l = -2*l, -o*t = -l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -438*j**2 + 167*j - 35. Determine v(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -214, -212, -208, -202?\n\"Answer: i**2 - i - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 372731.2ml to litres.\nAnswer: 372.7312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**3 - 5*c**2 - 6*c. Give j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.38 + 1.38. Let d = -0.067 + -3.933. Let b be (4\/6)\/((-14)\/21). What is the second biggest value in f, b, -3\/4, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -2457, -2458, -2459, -2460?\n\"Answer: -y - 2456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*g + g + 15. Suppose -g*n + 65 - 21 = 4*w, 0 = 2*n. Suppose -2*k = -19 + w. Solve -4*i + 3*m = i - k, -3*i + m + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {x: 1, y: 1, g: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-10) + ((-40749)\/2023)\/((-20)\/14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 6993000 to the nearest one hundred thousand.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the first derivative of 0*h**5 - 1\/1260*h**7 + 0*h**6 - 1 + 0*h**4 + 0*h + 0*h**2 + 2\/3*h**3. Let m(v) be the third derivative of x(v). Factor m(z).\nAnswer: -2*z**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -13*d - 4. Let z(f) = 7*f + 2. Let k(p) = 6*t(p) + 11*z(p). Calculate k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -110 - 22 + 322 + 26*h in the form u + z*h and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -5 + 5 + 3*q**2. Let d(y) = -y**3 - 2*y**2 - 2*y - 1. Let c be d(-1). Let u(b) = -b + c*b - b. Determine f(u(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 96053410 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 153501 and 372495?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w - 3200000. Let x(v) = 1. Let r(m) = m + 7. Let k(h) = r(h) - 2*x(h). Let u be k(-5). Let p be q(u). What is p rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3 + -2.92. Let z = i + -0.38. Let a = 1.7 - 1.3. Sort z, 0.1, a in decreasing order.\nAnswer: a, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 48*v + 257. Let m(i) = 438*i. Give o(m(s)).\nAnswer: 21024*s + 257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-8)\/(-26)*(18\/(-45) - 159\/(-360)). Let l(g) be the second derivative of h*g**4 - 2*g - 1\/13*g**2 + 0*g**3 + 0. Factor l(n).\nAnswer: 2*(n - 1)*(n + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 14272 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39055 is divided by 4874?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let 25*h**3 + 340*h**2 + 1085*h - 490 = 0. What is h?\nAnswer: -7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -41, 2, -4\/5, 0.06 in descending order.\nAnswer: 2, 0.06, -4\/5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 205 - 112 - 108 + u to the form m + n*u and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1959, 1966, 1961, 1938, 1891, 1814?\n\"Answer: -q**3 + 14*q + 1946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the first derivative of 170 + 7*r - 7\/2*r**2 + 1\/3*r**3. Determine p(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -11527 - -11510. Is 34.2 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13 (base 6) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38667?\nAnswer: 3, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 658\/5 + -132. Let r = 3 + 2. Let s = -8.4 + 8. Which is the closest to t? (a) r (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 30 + -42. What is the units digit of (-12)\/(d\/(-8) - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -75 + 121. Let w be 7\/35*5 - (-1 + -504). Calculate the highest common divisor of w and j.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x\/((x*x\/x**(1\/4)*x)\/x*x))\/(x\/(x**7\/x*x)))\/(x\/(x\/x**(-1)))**(-24\/11))**(1\/11) assuming x is positive.\nAnswer: x**(91\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -929 - -928.88. Which is the nearest to v? (a) 2 (b) 4 (c) -0.21 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6177, 12186, 18169, 24120, 30033, 35902, 41721?\nAnswer: 47484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, k: 1, h: 1}. Give prob of sequence ka.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 6031471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 6111583 a multiple of 1864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.621 times -0.1\nAnswer: 0.0621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*u + 9651200 = 25*u. What is u rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the third derivative of -p**6\/96 + p**5\/12 - 5*p**4\/24 - 18*p**2. Factor z(s).\nAnswer: -5*s*(s - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/220678 and 39\/3616.\nAnswer: 398985824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.2 (b) -0.04 (c) -0.09 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:49 PM and 5:11 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -11.6*-0.6\nAnswer: 6.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 4*t**3 + 3*t**2 - 2*t. Suppose 0*y = 2*y - 6. Is h(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 188.3 (b) 2\/7 (c) -0.3 (d) 4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -7910 * -17.406.\nAnswer: 137681.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2727 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3617.222 tonnes?\nAnswer: 3617222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(20) + 2 - (sqrt(5) - -4*(-4 + sqrt(5)))) + 5.\nAnswer: -3*sqrt(5) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z**(-1\/23)*z*z)*(z\/(z\/z**(-5\/4)))\/z*z)\/(z**(-12)\/z**(-13\/2)))**21 assuming z is positive.\nAnswer: z**(6363\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**3 + 3*q**2 + 3*q + 36. Give k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -83 - -82.63. Let t = -0.07 - p. Which is greater: t or -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10, 35, 106, 247, 482?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 + 7 + 5 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -67 + 67.47. Let a = x - 0.07. Let u be (-6)\/27 - ((-290)\/30 + 9). What is the closest to -1\/2 in a, -5, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.04 - 20087.\nAnswer: -20087.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 943237323.\nAnswer: 3, 7, 67, 223463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 851.2345 millilitres to litres.\nAnswer: 0.8512345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 4551943 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -117 + 203. Let t = h - 83. Which is the third biggest value? (a) 0.1 (b) t (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 24365859.6 or 2?\nAnswer: 24365859.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a - 3*k = -55, -4*a - k - 487 + 510 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 32586679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -6640, -13108, -19434, -25546, -31372, -36840, -41878, -46414?\n\"Answer: 12*q**3 - q**2 - 6549*q - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1*-18 - (-3 + 1). Let l be ((-2)\/4)\/(2\/t). What is the third derivative of 3*w**l - w**2 - w - 4*w + 5*w wrt w?\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c**3\/2 - 25*c**2\/2 - 5*c\/2 + 25\/2 = 0 for c.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (190\/7600)\/(11\/2552).\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 56 - 52. Let w(v) be the second derivative of v**5\/20 - v**4\/4 - v**3\/2 - v**2 + 5*v. What is w(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 79965 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5060746039.\nAnswer: 5060746039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4877438*c + 7179709.\nAnswer: -4877438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 37245559781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the second derivative of 5*s**4\/12 - s**3\/2 + 13*s. Let y(v) = -v. Let d be y(-4). Is q(d) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (487 + -1)\/(-3)*(-2)\/(-3). Let z be 1\/4 - (-4 - (-477)\/36). Let u be (18\/(-8))\/(z\/c*-3). What is the greatest common factor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 16\/(-7) - (-4)\/14. Let q = 234 + -219. Let y(h) = q*h + 4 - 5*h - 9*h. Determine y(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 220 and 31229396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 3*s**2 - 317898*s + 8421594867 = 0. Calculate s.\nAnswer: 52983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1839502*x**2 + 1838996*x**2 - 3679010*x**2.\nAnswer: -512*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -261 in 2\/31, -2\/13, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-93702)\/28428)\/(-97)*8\/(-14).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 151, -52, 0, 1 in increasing order.\nAnswer: -52, 0, 1, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 40 and 1240856.\nAnswer: 6204280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 488 + -196. Calculate the greatest common divisor of 1241 and k.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 29980906.61 to the nearest one thousand.\nAnswer: 29981000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -14 + 19.6. Let g = -6 + f. Let l = -4.3 - -4. Which is the third biggest value? (a) l (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -200 + 112?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 810 a factor of 59045760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 14076 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2670 and 537204?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:06 PM and 11:43 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2447705513 to the power of 1\/3, to the nearest integer?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2 - (-22)\/8 - ((-8658)\/72)\/37. Solve -z*b + b = -9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/34*(-14)\/(-35).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**3 - 6*u**2 - 5*u - 7. Suppose -t + 2*s - 18 = 3*s, 3*s - 58 = 5*t. Let h(l) = -l**3 - 14*l**2 - 5. Let j be h(t). What is m(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 44*r**3 - 5*r**2 - 10*r + 24. What is d(2)?\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add together -35648126 and 170222.\nAnswer: -35477904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = -2*a - 6, -2*p + 3*a - 7 = -0. Let s be (p\/3)\/((-2)\/6). Let t be (-3)\/3 + 3*1. Solve s*u = u - t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nw when two letters picked without replacement from {n: 4, w: 4, o: 9}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0761389 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.4 and -167244?\nAnswer: -66897.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1032 divided by 4.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -1 + -4 + -21 + 25.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 13) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**3 + 42*g**2 + 34*g - 135. Calculate the remainder when x(42) is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-36)\/27*9\/(-2). Let h(f) = 3*f - 11. Let g be h(u). Let j(n) = 7*n + 5*n**2 + 1 + g + 6*n. Let v(w) = w**2 + 3*w + 2. Give 2*j(c) - 9*v(c).\nAnswer: c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -4*w**3 + 2*w**2 - 223531*w - 40*w**4 + 0*w**2 + 223526*w in the form u*w**2 + p*w**3 + c*w**4 + f*w + z and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -2*x + 5*j + 9, -4*j - 6 = 2*x. Which is the fourth biggest value? (a) 4 (b) -0.3 (c) 2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -493 or -494?\nAnswer: -494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = 5*t - 18, 7*t - 3*t + 8 = 4*f. Let p be 1*-9 - 1392\/(-116). Solve 16 = t*g + 3*z + 2*z, -g - 14 = -p*z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-7)*-1)\/(44\/(-28)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + 3*d + 122 = 0, -2*c + 251094 = -11*d + d + 251010 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (6\/10 + -3)*(-100)\/6. Let b(a) = -a**2 - 38*a - 24. Let p be b(-36). What is the highest common factor of x and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 0 (b) 14 (c) 9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -21595, -21247, -20301, -18457, -15415?\n\"Answer: 50*k**3 - k**2 + k - 21645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u\/u**(-5\/4))*u)\/(u*u**(-7)))\/(u*u**7*(u*u\/(u*u**(-2)))\/u) assuming u is positive.\nAnswer: u**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*u - 3*h + 52793 - 52618 = -2*u, -5*h = 5*u - 295 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(25)*5)\/(sqrt(5) + (sqrt(20)\/sqrt(2))\/sqrt(2)).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -847212073356 - 4?\nAnswer: -847212073360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -683, 2, -3\/2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 7 - 73*c - 2 + 8. Is i(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 97478752 divided by -8?\nAnswer: -12184844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 47*l**2 + 88*l + 2. Calculate the remainder when 4451 is divided by s(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence shs when three letters picked without replacement from {s: 3, g: 1, h: 3, n: 1, j: 3, w: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0039448 to four dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 37216\/25586*55\/(-20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 467.5 minus 108671455?\nAnswer: -108670987.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -96*b**2 - 40*b - 97*b**2 + 289*b**2 - 94*b**2 - 14*b to u + x*b**2 + d*b and give d.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 - 16*w**2 - 28*w + 1. Let x be a(-14). Let l(g) = -2*g - 2. Let d = 32 + -6. Let f(t) = d*t + 0 - 1 - 27*t. Calculate x*l(s) - 4*f(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*i**4 - 16 + 5933*i**2 - i + 23 + 2*i**3 - 5933*i**2 to the form k*i + v*i**4 + q*i**2 + x + b*i**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -23 + 31. What is the remainder when 0*(-1)\/(-1) - -13 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y - 32 = 3*j, 7830*y - 21 = 4*j + 7829*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -45, 0.4, 0.2, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 122.05 - 125. Let k = c - -3. Let x = -4.05 + k. What is the nearest to 0 in x, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - h**4 + 6*h**4 + 1)*(5 - 9 + 10) in the form u + l*h**2 + q*h**4 + w*h**3 + v*h and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the second derivative of z**4\/12 - 2*z + 1030. Let l(m) = -m**3 + 18*m**2. Calculate -2*k(n) - l(n).\nAnswer: n**3 - 20*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 195\/26*20\/30.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/22866336 and -19\/134657312.\nAnswer: 1211915808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t**2 - 7*t**2 - t**2 + (t - 2*t - 2*t)*(3 - 21*t + 51*t - 25*t).\nAnswer: -23*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 - (-7 - -12 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5 - -8. Let n be 2 - (9\/(-6) + o). Factor -1\/2*y + 0 - 1\/2*y**4 + n*y**3 + 1\/2*y**2.\nAnswer: -y*(y - 1)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 8*c. Let p(b) = -2864*b + 5879*b - 2893*b. Determine r(p(n)).\nAnswer: 976*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-105)\/(-20)*((-154)\/(-105) - 26\/195). Let p(f) = f + 7. Calculate p(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1573.354 + 1576. Let a = 0.354 + l. Sort 0.01, a, -3, 1\/5.\nAnswer: -3, 0.01, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (8\/6)\/((-16)\/(-24)). Let v(x) = -w + 0 - 8*x + 2*x**2 + 6*x + 4*x. Let u be v(-2). Solve 2*b + 2*n = -u + 6, -5*n = -10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that z**5\/3 - 20*z**4\/3 - 263*z**3\/3 + 1034*z**2\/3 + 1712*z\/3 - 2464\/3 = 0.\nAnswer: -11, -2, 1, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -46410598*c**2. Let h(s) = -9*s**2. What is j(h(x))?\nAnswer: -3759258438*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 45650 and 31130?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.22 + -1.12. Suppose -7*w + 4 = -3*w. Let k be 2 + (0 - (-3 + w)). Which is the third biggest value? (a) k (b) 2\/13 (c) y (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 at least 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j**3 + 2*j**2 + 9*j - 4. Let r be l(4). Solve r = -65*k - 15 - 180 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 7}. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -337*h - 748*h + 1043*h**3 - 38*h**3 + 285*h**3 wrt h.\nAnswer: 7740*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((3 + sqrt(147) + 0 - sqrt(147))**2 + sqrt(147))*5 + (-3*(sqrt(147) + 0))**2*6.\nAnswer: 35*sqrt(3) + 7981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -34b40 (base 16) in base 4?\nAnswer: -310231000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 40*d**2. Let i(n) = 15*n**2. Calculate r(i(o)).\nAnswer: 9000*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7) + sqrt(28)*2 + 0 + sqrt(112))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*u + 40 = 74*u - 33*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -45 - -232. What is the greatest common divisor of k and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -204 in 3\/7, -2, -3.11, 0.1, 0?\nAnswer: -3.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-85)\/(-51))\/(2\/6). Suppose 3*z - 5 = -t - 7, -8 = r*z + 4*t. Solve 2*k + 4*y + 28 = z, 0 = -2*k - 4*y + y - 23 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -1432*l - 102*l + 18194 = 60201 + 76111 for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 15029, 15014, 14983, 14930, 14849?\n\"Answer: -l**3 - 2*l**2 - 2*l + 15034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 + -3. Let f = z - -14. Suppose f = j + 2. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-1)*-2 - 216\/(-56))*-5\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.0536 and 7.549.\nAnswer: -0.4046264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 2*y**3 + 11*y**2 - 49*y + 209. Determine t(-13).\nAnswer: -1689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjyyyyyyyyyyyyyyjyyy. Give prob of sequence yyjj.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 138066 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.03 (b) -2\/2527 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -5954054.737 and -4.8?\nAnswer: 5954049.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 3*y. Let z be q(2). Let c(x) = -x**3 + 7*x**2 - 4*x - 7. Let g be c(z). Suppose -g*t - 5*o + 10 = 0, -2 = 3*o + 4. Solve -m = -t*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1766253.2 and -0.4.\nAnswer: 706501.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 81121 (base 12) in base 13?\nAnswer: 5b4a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1432 + 0?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.01 - 0.031977524422329\nAnswer: -0.041977524422329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*6\/21*(-5570 - -5731)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -20, -45, 14\/3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -6*k + 2. Suppose 6*z - d = 2*z + 76, 3*z + 4*d = 76. Let m be (2\/(-2))\/(4\/z). Let h(q) = 7*q - 2. What is m*h(f) - 6*l(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -1 smaller than 6\/36463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-20)\/15)\/((-6)\/(-18))*637\/182?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -845511582.710816 - -842507271.711. Let a = p + 3004257. Let k = -54 - a. What is k rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3\/54200 or 30.1?\nAnswer: 30.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n**2 + 11*n + 3. Let j be c(0). Find the third derivative of 10*f - 11*f - 28*f**j + 13*f**2 + 44*f**3 wrt f.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18035188.\nAnswer: 2, 4508797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 3, 4, -10\/37, 0.5, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let 6\/7*p**2 - 4\/7 - 2\/7*p**4 - 2\/7*p**3 + 2\/7*p = 0. What is p?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 651504109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 840 divided by -5\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (375 - 2247 - 1125)*(-u**2 - 2*u**2 + 0*u**2).\nAnswer: 8991*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, x: 9, n: 3, g: 2, r: 1}. Give prob of picking 1 x and 1 r.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -11*n + 17. Let l be d(-5). Let g = l - 52. Suppose -30 = -2*x + 4*j, -j + 3*j = -4*x + g. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*k - 6 = -16*k. Suppose -k*z + 28 = -29. Let p(t) = -t**3 + 9*t**2 - 3*t + 5. Let d be p(6). What is the highest common divisor of d and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q + 10. Let w be o(7). Suppose -4*a + 3*t = 4, a - 2*t + 14 = 4*a. Let n be (-288)\/(-30) - 5 - a\/(-5). Solve -10 = w*j - n*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the third derivative of -7*x**5\/60 - 59*x**4\/24 - 17*x**3\/6 - 2*x**2 + 208*x. Determine j(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 3*t)*(0 + 2*t - 1 + 0*t).\nAnswer: 6*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w + 8. Let f be j(13). Let k = 5 + -2. Let l = 0.8 - 1.3. Which is the nearest to 0.1? (a) l (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 - -2. Suppose -3*p + 75 = -a*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-45*l**2 + 35*l**2 - 24*l**2)*(3*l - 2*l - 2*l) - 4*l**3 + 5*l**3 + 0*l**3 in the form j*l + u*l**2 + y*l**3 + w and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that -f**5 + 12*f**4 - 43*f**3 + 60*f**2 - 28*f = 0.\nAnswer: 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -365 + 355*n**2 - 345 + 710 in the form u*n + v*n**2 + s and give v.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 5*t - 45. Let v be b(19). Suppose 0 = -3*o, -3*o + 4*o = -5*k + v. What is the remainder when 27 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -97*u**2 + 18 + 28 - 46 + 98*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -4*j. Let g = -10 - -4. Let l be 7 + 1 - (1400\/(-20))\/14. Let b(i) = -8*i. Calculate g*b(t) + l*y(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 27924*a**4 + 47*a**2 - 2*a - 21.\nAnswer: 670176*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -45277589*r**2 - 46410403 wrt r?\nAnswer: -90555178*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -69*r + 73*r - 220. Suppose 0 = 5*s - 5*l + r, 2*s - 3*l - l + 30 = 0. Let v(t) be the first derivative of -t**2 - 6*t + 2. Determine v(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**2 - 828*a + 42048. What is j(48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 55 + t + 38 - 28 to p + i*t and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 2*p**3 + 12*p**2 - 47*p - 287. What is d(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (-8 + -2 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 302 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 115432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 2*m = 4, -18 = 3*t - 4*m + 7*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 803 a factor of 6244128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -11*y + 9. Let w(p) = 16*p - 13. Suppose -5*g - 23 = 12. Let s(v) = 513*v + 12307. Let n be s(-24). Determine g*a(u) + n*w(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -2*m**3\/9 - 36*m**2 - 1944*m - 34992 = 0.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 32 - -40a?\nAnswer: 43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9.886 - 10. Let a = 2.5 + -2.257. Let m = n + a. What is m rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q - 13 = -k + 7, 4*k + 5 = -5*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 70 divide 35140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 485 + -6310\/13. Let g = -61\/91 - s. Calculate the common denominator of (18\/12)\/((-6)\/(-11)) and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 84 - -3ba?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 35666286 + -2731.\nAnswer: 35663555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 656 and 109470.\nAnswer: 875760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 60 + 1500 = 0. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.63? (a) -5 (b) -4\/161 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 530*a**3 + 40*a**2 - 126*a + 1. List the prime factors of k(3).\nAnswer: 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -28*r**2 - 1156*r - 296. Give w(-42).\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 20.5 + -35.55. Let a = c - -16. Let y = a + -0.53. Round y to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1499?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 3*k**3 + k + 1. Let p be t(-1). Suppose 4*n = 2*n - 5*o - 9, 0 = 3*n - o - 12. Put -2, p, n in descending order.\nAnswer: n, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a**3 - 2*a + 2*a)*(3*a + a - a + 6).\nAnswer: 6*a**4 + 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 2*o**2 - 89*o + 1547. What is the tens digit of w(74)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (6\/10)\/(6\/90). Let i = -5 + h. Calculate the lowest common multiple of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.663654 minus -0.5?\nAnswer: 2.163654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000010894584021 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose k**2\/2 - 1037*k + 1075369\/2 = 0. Calculate k.\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kmn when three letters picked without replacement from {k: 1, n: 3, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*r + 5*r = -a + 375, 4*r + 3*a = -725. Sort 0, -3, -2, r.\nAnswer: r, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -68*r + 78 - 76 - 60*r + 134*r.\nAnswer: 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 5*g + 410, 16*g + 8 = 12*g. Is 101 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1799 or 9001\/5?\nAnswer: 9001\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -31 * 8312.\nAnswer: -257672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be -3*10\/(-45)*3. Let d be (0\/((-4)\/j))\/3. Solve -r - 6 + 4 = d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-2*(-8)\/(-7) + 3 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -0*w - 5*w - 2*c - 14, 0 = -3*w - 5*c - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d + 3*a = 1, -5*a + 8 = -2*d + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 23.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, g: 1, x: 1, n: 4, s: 2, k: 4}. Give prob of sequence ssg.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i**3 + 107*i**2 + 2. Let z(t) = t**3 + 107*t**2 + 1. Determine 2*j(y) - 3*z(y).\nAnswer: -y**3 - 107*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 - (6 - (-5 - 0) - 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 21*s + 2. Let f(y) = 40*y + 6. Let o(n) = 5*c(n) - 3*f(n). Calculate o(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 5*p - 26 = 0, 4*p - 18 = -0*a - a. Let x(h) = -30 - 17 + h**a + 47. Let u(m) = 9*m**2 - 3*m**2 + 2*m**2 - 3*m**2. Give u(x(r)).\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 0.02 < -280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 2 l when three letters picked without replacement from {l: 4, p: 5, r: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 538 minutes after 7:19 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -75432603 divided by -2679\nAnswer: 28157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 217*p**3 + 70*p**2 - 54*p - 168. Calculate f(2).\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -171 - -166. Suppose -5*d + 19 = -t, 2*t + 9 - 23 = -3*d. Let j be ((-312)\/(-54) + -6)*(d + -1). What is the nearest to j in 0, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -2\/3658775?\nAnswer: -2\/3658775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*o + 0*o - 2*o + (1 - 4*o + 4*o - 2*o)*(68 + 335 + 345)*(34 - 13 + 70) to f*o + t and give f.\nAnswer: -136138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-28)*(-9)\/1512*-49)\/((-20)\/90)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 309 - 350 - (-17 + -2 - 5).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 5674043, -1, -3\/4 in ascending order.\nAnswer: -1, -3\/4, 5674043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 208 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18*-2*38\/(-152)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*p**3 + 46*p**3 + 3*p**2 - 3*p**2.\nAnswer: 42*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 9) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -516940 != -516940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -155 - -185. Find the second derivative of -41*y - 3*y - 56*y**4 - a*y + 13*y + y**3 - 48*y wrt y.\nAnswer: -672*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 10\/(-2)*(-3)\/3. Let u(v) = -v**3 + 4*v**2 + 5*v - 1. Determine u(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-139 + 10*t + 139)*(-2 + 2 + 1)*(t - 5*t**2 - t) in the form w*t**2 + x*t + i + z*t**3 and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -325709 - -205196723\/630. Let m = t + -1\/35. What is the common denominator of 17\/2 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 70 and 6\/(-9) + (-2120)\/(-30).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 337799 + -338102.826. Let w = v + 303. What is w rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in fifty-nine fifths of a millimeter?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the first derivative of -2*s**3\/3 + 134. Let d(t) = 457*t**2. Determine m(d(x)).\nAnswer: -417698*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 * -2970.\nAnswer: -14850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 400997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -17 + (19 - 2 - -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -4*x + 4 + 0 + 2 - 2. Calculate the remainder when 55 is divided by v(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-4)\/t)\/t**(-2\/7))**50*t\/(t*((t\/t**(-5\/4))\/t)\/t*t)*t*t*t**(-1)*(t**(-1)\/t)**0 assuming t is positive.\nAnswer: t**(-6607\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the third derivative of y**5\/60 - y**4\/12 - y**3\/2 + 14*y**2. Factor i(g).\nAnswer: (g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 34184\/2229 + -2\/743. What is the common denominator of 81\/4 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15\/(-72)*-48*3*1\/165*-2.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(1\/2)\/(j\/(j\/j**20))*j**(-2\/65)*j*j*j\/(j\/j**(3\/14)))**(-1\/5) assuming j is positive.\nAnswer: j**(7879\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 342, 341, 338, 333, 326, 317, 306?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-898 + 894)\/(((-8)\/42)\/1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -14866780 divided by 5?\nAnswer: -2973356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is y in 4*y**5 + 110*y**4 + 1000*y**3 + 3000*y**2 = 0?\nAnswer: -10, -15\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -227e + 14?\nAnswer: -226a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9839 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -2*h**2 - 1445. Let p(m) = 9*m**2. What is c(p(a))?\nAnswer: -162*a**4 - 1445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 1928 by -2650.\nAnswer: -964\/1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 497231243*n**2*r + 3*n**2 - 6764205*n - 2 wrt r.\nAnswer: 497231243*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 25969636*c*u**3 + 63*c*u**2 + 15*c*u + 3*c - 4*u - 1 wrt u?\nAnswer: 155817816*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -39010, -38976, -38932, -38872, -38790?\n\"Answer: b**3 - b**2 + 30*b - 39040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2 and -0.15.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 14 = 10. Suppose 2*p - 2 - g = 0. Solve -2*k = f - 9, k - 2*k = p*f - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**(-8)*m**(-1\/9))\/(m**(1\/14)*m**(-4\/13)))**32 assuming m is positive.\nAnswer: m**(-180176\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -506 minus -1887686?\nAnswer: 1887180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, q: 1, x: 2, w: 1, r: 1, o: 2}. Give prob of sequence oo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the third derivative of -a**4\/8 + 63*a**2. Let g(f) = -2*f. Suppose 22 = -4*j + 6. Calculate j*s(m) + 7*g(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1370111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -33 divided by -883\nAnswer: 33\/883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by 4079.\nAnswer: -6\/4079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 95486 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = -22093 + 22324.44. What is z rounded to 0 decimal places?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -134*b = -175*b - 205. Sort -0.2707, b, 0 in increasing order.\nAnswer: b, -0.2707, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 66 and 999834.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 20196 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 23100130 - -300?\nAnswer: 23101030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 218793, 218741, 218655, 218535?\nAnswer: 218381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 1418 + 191 - 15*p + 12*p + 4*p + 513 as d + s*p and give d.\nAnswer: 2122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 4 = 0, -a = 6*y - 2*y - 48. Suppose -4*x - 4 = -a. Let v be (-152)\/(-64) - (-3)\/(-8). Solve 5*h = v*h + x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2377798 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*u - 3*u + 6*u)*(2*u + u + 0*u) + (5*u**2 - u**2 - 5*u**2)*(-2 + 3 + 0).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*m**2 + 15*m**2 - 5*m**2 + 29*m**2 + 2*m.\nAnswer: 33*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = -2*g - 416, -4*n + 4*g - 176 = -2*n. Let w = 160 + n. Suppose -3*c + w = -98. 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 667 minutes after 4:55 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vikkwli. What is prob of sequence il?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**2 - 17*o - 14. Let u be f(-10). Suppose u*p + 52*p**4 - 90*p**2 - 8 - 26*p**3 + 38*p**3 - 62*p**4 + 40*p**3 = 0. What is p?\nAnswer: 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*s + 838 = 44*s - 590. What is the highest common factor of s and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7\/(-7))\/((-3)\/(90\/(-5))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -93, -85, -65, -27, 35, 127, 255?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-8811)\/18)\/((-6)\/4 - -1). Let f = u - 620. Let a = -2537\/7 + f. Is -2 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 35151536*y - 35151303*y = 12116 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7457489509.\nAnswer: 641, 11634149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 545 (base 6) to base 12\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 184\/3 + -1282\/21. Factor 0 + 2\/7*q**2 - l*q.\nAnswer: 2*q*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**3 + 16*x**2 + 36*x - 12. What is k(18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the third derivative of 17*z**5\/15 - z**4\/12 + z**3\/6 - z**2. Let y be 1\/(2*(-1)\/(-2)). Is w(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 319*q - 2*q**3 + 0*q - 84*q + 111*q.\nAnswer: -2*q**3 + 346*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 369 is divided by 69.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes before 10:05 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t + 27 + 3. Let p = t + -6. What is the first derivative of 4*n**3 + n**p - 3*n**4 - 3 - 4*n**3 wrt n?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 686.3 + -688.3. Put 5, 18\/5, h, -19 in descending order.\nAnswer: 5, 18\/5, h, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -22*h**2\/5 - 4732*h\/5 + 864 = 0.\nAnswer: -216, 10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 329 - 318. Let i be ((-90)\/4)\/9 + 35\/14. What is the second biggest value in r, -4\/3, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 5*g - 12. Is d(8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -23 + (11 - -20 - 20) + -24?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -18 times 18755\nAnswer: -337590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 4*m - 2*m + 10*m + (-92 + 92 + 5*m)*(1 - 1 + 5) in the form y + r*m and give r.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*((-6*(sqrt(170) + 1*sqrt(170) - sqrt(170)))\/(sqrt(250) - (sqrt(250) + sqrt(250)*1 + sqrt(250) + sqrt(250))) + 1))**2*-2.\nAnswer: -2976\/25 - 128*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 152605 (base 13) in base 11?\nAnswer: 325353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 141321 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -59\/20 and -33\/35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9.46 + 117.92. What is o rounded to 0 decimal places?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 9*m - 6*m - 6 = 0, p = -m + 2. Find the second derivative of -3 - 2*a**2 + 5 + 57*a**2 + 50*a**2 + 19*a + p wrt a.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12965685 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes after 5:16 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the first derivative of -3*n**7 + 5*n**3 + 14. What is the third derivative of v(w) wrt w?\nAnswer: -2520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.05 take away -636230039271?\nAnswer: 636230039271.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes after 11:27 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -32.63 - -0.13. What is o rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 84 divide 10515425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the third derivative of -s**4\/24 - 3*s**3\/2 - 76*s**2 + 10. Determine t(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1002, -1118, -1234, -1350, -1466?\nAnswer: -1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1b535 - 3b?\nAnswer: -1b573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the second derivative of i**5\/20 + i**4 + 15*i**3\/2 + 27*i**2 - 2*i + 15. Suppose p(c) = 0. What is c?\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = 4*o. Let v(t) = -3 - t + 3 - 2. Let u be v(-2). Solve o = 2*z + i - 7, u*i + 7 = -4*z + 5*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 - (1 - -2 - (13 + -12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrrrrir.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the first derivative of 0*b + 1\/12*b**3 + 8 + 0*b**2 + 1\/16*b**4. Factor i(a).\nAnswer: a**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 5, -11, 15, 3 in ascending order.\nAnswer: -11, 3, 5, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2854 is divided by 501.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00149752412 rounded to 6 dps?\nAnswer: -0.001498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 109*b - 4494747 + 717788. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-seven fifths of a day in minutes?\nAnswer: 22176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -47025 plus 0.2650175?\nAnswer: -47024.7349825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 6933656.9 * 0.2.\nAnswer: 1386731.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2709823 to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1100110100101 + 11?\nAnswer: -1100110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 14387399*m + 18971851?\nAnswer: 14387399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = 3 - 93. Calculate the remainder when m is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4933*f**2*m*o + f**2*m - 39*f**2 - 3*f*m + 90*f - 10*o + 5 with respect to o.\nAnswer: -4933*f**2*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand x - 4*x + 5*x + (1 - 1 - 1)*(x + 0*x - 3*x) + 4*x + 0 + 0 + 0*x - x - x + (2 + 0 - 1)*(x + 0*x + 0*x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 69*g. Let i(m) = -26*m. Calculate i(p(t)).\nAnswer: -1794*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -416b (base 14) in base 16?\nAnswer: -2c03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.038 or 0.528?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1749611 and 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = b - 26 - 10, -4*b + 5*g = -92. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*3*((sqrt(12))**2 - sqrt(3))*-3 + ((sqrt(9) + sqrt(1296)*2)\/((sqrt(3) - 1*sqrt(3)*-2) + sqrt(3)))**2.\nAnswer: -54*sqrt(3) + 12243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 3800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be -3 + ((-2)\/8 - (-1155)\/220). Sort 93, -3, g.\nAnswer: -3, g, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -864 or -862?\nAnswer: -864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(80)*4 + 4 - (sqrt(80)*1 + 4 - sqrt(80))) + -1)**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 21622391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:50 PM and 10:39 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/1003 or -1?\nAnswer: 1\/1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence arae when four letters picked without replacement from {a: 5, e: 5, j: 1, f: 4, r: 1}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 38.7 - 41.7. Let o be ((-7)\/14)\/(2\/(-4)). Which is the closest to o? (a) v (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -h - 33, x = -3*x - 3*h + 146. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-13 - (-2 - -11) - -46) + (4 - -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, b: 3, w: 6, j: 2}. Give prob of picking 2 b and 1 w.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c - 30 = -22*a + 24*a, 0 = -3*a - 36 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1658 divided by 1?\nAnswer: -1658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -222330 - -2?\nAnswer: -222322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vpb when three letters picked without replacement from {v: 2, p: 1, b: 1, c: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gggg when four letters picked without replacement from sehhghgghehehhhsg?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 4*w = -243. Let a = w + -30. Let r be 0\/((-15)\/a - 4). Solve -6*u + u = r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9768353 and 4301.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3891*j**2 - 1297*j**2 - 1297*j**2 - 1300*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 24\/(-60)*15\/16\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.087 and 10.5.\nAnswer: 0.9135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-10)\/2 + (-3780060)\/(-60). What is the derivative of 24*c**2 - q + 23*c**2 + 62727 wrt c?\nAnswer: 94*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1034 in 3\/2, 0.4, -0.1, 16.4?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 21156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1959452608 rounded to 4 decimal places?\nAnswer: 0.1959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.02826 - 0.02174. Which is the nearest to 0? (a) 54 (b) 5 (c) w (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 4*q - 4824. Let w be q\/18 - ((-5)\/(-3) - 2). Is w equal to 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 - 204?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-520)\/2080)\/((-2)\/360*1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = -2*a - 23. What is the remainder when a\/(-4) - 1067\/(-22) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the first derivative of -i**6\/210 - 137*i**5\/280 - 17*i**4\/28 + 83*i**3\/3 - 35. Let s(f) be the third derivative of c(f). Factor s(n).\nAnswer: -3*(n + 34)*(4*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 2*l**3 - 4*l**2 - l - 2. List the prime factors of r(4).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = d, c + 4*c + 4*d = 658. Let x be 73\/c - (-2 - -3). Let p = 1\/26 + x. Put p, 1, 3\/7 in increasing order.\nAnswer: p, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes before 5:26 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -20 - -19.98. Let w = 0.02 + m. Let v = 245 - 2207\/9. What is the fourth smallest value in w, 0.5, v, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from llljlljlllllljllllj. What is prob of picking 4 j?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00002175 rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 11865 and 5120703.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2491 - 2419. What is the least common multiple of n and 64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 132499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1229528 is divided by 61476?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**2 + 18*g + 4. Determine r(6).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6639555 is divided by 138?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 16, t: 3, x: 1}. What is prob of picking 1 t and 1 x?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) -0.47 (c) -13 (d) 2 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -8747*r**3 + 4374*r**3 - 2*r - 3 + r + 4372*r**3 + 228*r**4 in the form k*r**2 + o*r**4 + x + w*r**3 + y*r and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {p: 16, r: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 6*n + 1. Suppose -3*d + 23 = 5*t, 0*t + t = 2*d + 15. Let z(c) = 5*c + 1. Let q(x) = t*z(x) - 6*v(x). Give q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -z**2 - 28*z - 469. What is l(-19)?\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 88 - 88 - (6 - 48).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*s + 39*s = -43*s + 583 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from msssmsjttmsjjmjsst. What is prob of sequence ttsm?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((3\/(-24))\/((-6)\/8))\/((-6)\/(-36))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -5083.42536 to the nearest integer.\nAnswer: -5083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 19 by 1842.\nAnswer: 19\/1842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:25 PM and 8:22 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 304689 and 561?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 14*b*h**4 + 5*b - 161*h**4 + 10*h - 16 wrt h.\nAnswer: 168*b*h**2 - 1932*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 127096 and 43704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 7 divided by -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 5*l**2 + 3525. Let s(x) = 2*x**2. Determine t(s(k)).\nAnswer: 20*k**4 + 3525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = 36.36 + -36.31. Let r be 2\/5 - 2\/30. Which is the third smallest value? (a) o (b) r (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*n - 7*n - 7*n + 3*n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 10483 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 206*z - 8056935 + 8048077 = 0 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -1123012 (base 5) to base 2\nAnswer: -100111110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes after 6:24 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3*(-4)\/18*-21. Let y = 13 - k. Let n(g) = -5*g**3 + 6*g**2 - 5*g + 4. Let a(x) = x**3 + x**2 - x + 1. Let d(q) = y*n(q) + 4*a(q). What is d(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -305139\/11 + 27740. Are p and -853 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 55575 and 0.0615?\nAnswer: 3417.8625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 39, 84, 133, 186, 243, 304?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 316621531 to the power of 1\/3, to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in 0, 1\/3, 0.2, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -18955666*n**6 - 3*n**2 - 1883818 wrt n?\nAnswer: -2274679920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 + (-26 - (-126 + 30 - -28)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 166*n + 71*n**5 - 166*n + (1 - 1 - 2*n**3)*(3*n - n**2 - 3*n) - 3*n**5 + n**3 - n**3 - 2*n**2 + 2*n**2 + 2*n**5.\nAnswer: 72*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1092.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 35269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -4\/5, -0.4, 1.592, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 20a19 (base 12) in base 8?\nAnswer: 123665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, w: 2, d: 5, b: 1}. Give prob of sequence dwx.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-37)\/6)\/((-30)\/492). Let p be 604\/(-6) + (-11)\/33. Let l = c + p. Sort l, 2\/7, -1\/4 in increasing order.\nAnswer: -1\/4, l, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 27*s**2. Let i = -45 - -47. Let n(l) = 5*l**2 - 7*l + 5. Let x be n(i). Let j(w) = -w + x - 11. What is m(j(p))?\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7712427*u**3 - 1864*u + 493 wrt u.\nAnswer: -46274562*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 483 divided by -180\nAnswer: -161\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -50 + -14. Let s = -4748 - -4685. Let q = r - s. What is the second smallest value in -0.07, -0.2, q, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -178*m + 42. Let n(r) = -148*r + 43. Give -5*c(v) + 6*n(v).\nAnswer: 2*v + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = -16*q + 11*q. Suppose 0 = 3*w - 12, 0 = 3*d - w - q + 2. Let c(j) = -j**3 + d*j**2 + j**2 - 1 - j - 5*j**2. Calculate c(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.4? (a) 24\/13 (b) -0.02 (c) 6 (d) 1 (e) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -4*z, -10*q = -12*q - 3*z + 2723. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 193443464 + -3?\nAnswer: 193443461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1039325832 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.02 - 0.42. Suppose 0*j + j = 20. Let t = j + -21. Which is the closest to t? (a) p (b) 1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2*(-1)\/8*(-5 + 1). Let k(j) = -j**2 - 3*j + 4. Let a be k(-3). Let l = 2 - a. Sort l, -10, p in decreasing order.\nAnswer: p, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 120.41163us?\nAnswer: 0.000000001393653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 7511*u**2 - 23*u + 5. Let c(g) = -3756*g**2 + 14*g - 3. What is 5*c(z) + 3*p(z)?\nAnswer: 3753*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 339 and 17214081.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 45683244 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-22)\/(-12) + 13\/78. What is the greatest common factor of 8 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - u + 25 = 2*a, -2*a + 35 = 5*u. Find the second derivative of 11*b**a + 5*b - 3*b**5 + 591 - 591 wrt b.\nAnswer: 160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3, 0.4, -2.5, -106, 5, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -2138*784\nAnswer: -1676192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 40959*i**5 - 181926*i**4 + 305940*i**3 - 235854*i**2 + 76797*i - 5916 = 0 for i.\nAnswer: 493\/4551, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 11\/4 of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*c - 4*c**2 - 2*c**4 - 2*c + 2*c**2 - c**3 + 11*c to r*c**3 + s + o*c**4 + j*c + v*c**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -3 + (sqrt(252)*2 + 4 + -2 + 2 + sqrt(252))*-5.\nAnswer: -90*sqrt(7) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 420039160 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15\/6 + 1\/(-2) - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 17 = 7. Let o be 2\/(-6)*q + 11. Solve 3*w + 12 = -0*w + z, 5*w + o = 4*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -14.4 >= 39062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 0*d + 3*d + 12*d + 1 + d**3 + 12*d**2. What are the prime factors of a(-10)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.09 and -1061911.\nAnswer: -95571.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-31 - -9) + 159\/12*-1*-12?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 16.7999 millimeters in meters?\nAnswer: 0.0167999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2102 = -51*w + 1286 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3701 + -3701. Suppose 5*m - 21 - 13 = -4*j, 2*m + 3*j = 15. Let h be (m\/4)\/((-1)\/2). Sort 5, -4, h, f in decreasing order.\nAnswer: 5, f, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Let y be (5\/4)\/((-4)\/32). Let q be 12\/10*y\/2. Let m = q - -7. What is the remainder when 2 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -260 divided by -8?\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 48853111273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -s = 5*l + 62 - 55, -3*s + 4*l - 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 45654*l - 730473. Calculate m(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4775 - -57211\/12. What is the common denominator of -1\/66 and u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (117\/169*(-13)\/10)\/((-6)\/620)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -14*r**3 + 5*r + 2280. Let l(s) = 6*s**3 - 2*s - 1139. Give -2*a(d) - 5*l(d).\nAnswer: -2*d**3 + 1135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 23.05 + -26.05. Which is the third smallest value? (a) 2\/3 (b) -140 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 292.0088 hours?\nAnswer: 1051231680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/8 and (0 - 159\/60)\/(8\/4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 130 - 95. Let x = -31 + z. What is the lowest common multiple of x and 170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -368 - -490. Let m = u + -857\/7. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + -3*sqrt(363)*1 + (sqrt(1920) - -1*sqrt(1920))\/(4*sqrt(40)\/sqrt(4) - sqrt(10)))*-2)**2.\nAnswer: 2656*sqrt(3)\/3 + 27748\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 117\/200 and 1\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/81*13 + -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1173, -2273, -3373?\nAnswer: -4473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-32)\/(-24)*27\/126.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 2 + h**2)*(0*h + 2*h + 0*h) to the form d*h**2 + y + k*h**3 + j*h and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 489, 677, 857, 1023, 1169, 1289, 1377?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 15751 divided by 3\nAnswer: 15751\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q = -2*n + 12, 5 = 137*n - 132*n - 5*q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -m*w*x + m*w + 25*m + 7*w*x - 11*x wrt m?\nAnswer: -w*x + w + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 1345 divide 398125380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i**2 - 9*i + 1. Let k be o(-8). Let c be 1 - 2 - 4\/(-1). Suppose -c = -0*b - b. Solve -b*h + 0 = -k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -839, 2, -5148 in decreasing order.\nAnswer: 2, -839, -5148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*h - 4*h + h**3 + (-2 + 2 - 5)*(0*h**2 - 2*h**3 + 0*h**2) + (2*h + 3*h - h)*(-5*h + h - 5*h)*(h - 1 + 1).\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 6*j = 36. Suppose j*y = -y + 250. Let u be (-1 + 6)\/y*15. Solve 2*v - 18 = u*p, 2 + 7 = -v - 3*p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 585034*o**2 - 398*o**3 - 585034*o**2.\nAnswer: -398*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/656 and -5\/2.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.58 + 0.562. Let w = u + 0.218. What is the closest to -0.1 in -2\/13, w, 2\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 81, -3, -13, 94, -5, 1\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, p: 2}. What is prob of sequence zp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 10) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15 + (13 + -20 + 4 - -5) + 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -3594111.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x + 27 = 12*x + 17*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b**2 - 49*b - 580. Calculate s(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -3*a + 42. Let r be q(21). Let c = 174 + r. Let b(p) = -p + 17. Let j be b(0). Calculate the greatest common divisor of c and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1848275 a multiple of 843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -171835, -171837, -171839?\n\"Answer: -2*m - 171833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*h - 9*t - 18, 3*h + 4995084 = 4*t + 4995073 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -7*q**2 + q. Let v be a(1). Let y be (2721\/v)\/(12\/86). Let c = 3241 + y. Find the common denominator of 65\/18 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 41 - 39.4. What is the third biggest value in -1\/8, o, 2\/13?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the second derivative of 7*t**4\/12 + 166*t. Let l(p) be the first derivative of 5*p**3\/3 + 7. What is l(o(a))?\nAnswer: 245*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 44*g - 35. Let t(p) = -21*p + 17. What is -2*d(j) - 5*t(j)?\nAnswer: 17*j - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 748874570 to the nearest one million.\nAnswer: 749000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -25ac (base 16) in base 11?\nAnswer: -7278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5292*w + 4156*w - 5280*w + 6424*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:28 AM and 9:53 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**3 + 25*q**2 - 2*q + 14. Let t be j(25). Let r be (-12)\/t*(-12)\/11. What is the nearest to -0.1 in r, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.18897 and -281.\nAnswer: -281.18897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 863450559?\nAnswer: 3, 95938951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 89737.\nAnswer: 19, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes before 6:44 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 482*g - 921. Let u be x(3). Calculate the greatest common factor of u and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**3 + 6*k**2 - 5*k + 1. Let y be r(5). Let z be (-27)\/(-9) + -1 + y. Suppose -h - 4*p = -66, p = -1 - z. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 5*b + 18 = -19, 2*b = 2*z + 32. Let k = -11 - z. Solve 0 = n - 0*n - 4*t - 1, -9 = k*n + 3*t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6188 divided by 67847?\nAnswer: -28\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 250 = -9*w, 2*w = -172*c + 168*c + 200. Calculate the remainder when 1838 is divided by c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*j = -j - 44. Solve -j*x + 5*i + 15 = -0*i, -3 = 2*x + i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (-30)\/(-2145)*-11 + 4936582\/91?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:36 PM and 10:12 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -29 + 32. Suppose -35 = -2*p + 5*y, 10*p = 5*p + 4*y + 45. Suppose -2*r + 10 + 17 = t*d, r = p*d - 32. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -2*l**3 - 4*l**2 - 2. Let b be h(-3). Suppose -3*w = w - b. List the prime factors of ((-60)\/9)\/w*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the first derivative of 29*a**3 - 15*a**2\/2 - 32*a + 25. What are the prime factors of k(-2)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -26 (b) 3 (c) -25 (d) -4\/9 (e) 5\/351\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1034)\/(-1551))\/(8\/252)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 510 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 4994.15 millilitres?\nAnswer: 4.99415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 4384.19 centimeters to meters.\nAnswer: 43.8419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4406747 to the power of 1\/2, to the nearest integer?\nAnswer: 2099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 21 - 24. Sort 0, -2, o in increasing order.\nAnswer: o, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -3*-575\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uusssuu. What is prob of sequence usus?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.16 (b) -2\/13 (c) -2 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 1105726 by -552863.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -4*p - s + 62, 80 = 5*p + 4*s. Suppose b - 25 = p. Suppose 0 = 40*d - b*d - 51. Calculate the remainder when 24 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 23968 + -14098. List the prime factors of c.\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 529 + -2115\/4. Put 0.3, 1\/6, 0, q in decreasing order.\nAnswer: 0.3, q, 1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1874*u = 1924*u + 805 - 3005 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 + -1.84. Let n = -0.227 - 0.073. Which is the second smallest value? (a) s (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(684)*-3*-2 + 1 + sqrt(684) + -4 + sqrt(684))**2.\nAnswer: -288*sqrt(19) + 43790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the third derivative of 0 - 9*v**2 + 0*v + 0*v**3 + 15\/8*v**4. Let f(q) = q**2. Calculate f(t(l)).\nAnswer: 2025*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 - -2. Solve 3*n + 6 = 5*w, q*n - 5*w + 2*w = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22585 = -26*k + 18625. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*j**5 - j**5 - 5*j**5 + (-j**4 - j**4 + j**4)*(0*j + j + j) - j**5 - j**3 + j**4 - j**4.\nAnswer: -6*j**5 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the third derivative of x**8\/560 - x**6\/90 + 2*x**3\/3 + x**2. Let u(h) be the first derivative of l(h). What is the third derivative of u(z) wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -13262, -26756, -40474, -54416, -68582, -82972, -97586?\n\"Answer: -112*l**2 - 13158*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 2*d + 16 = 0, 4*c + 0*d - 50 = d. Suppose 3*w + 4 = -q, -3*w + c = 2*w - 3*q. Solve 4 + w = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.9 + -0.1. Let q = 2 + v. Which is the nearest to q? (a) -3 (b) 0.4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3965 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 248 is divided by 40 + ((-13)\/1 - -11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**2 + 6*k - 7. Let d be h(-7). Suppose 4*z + 0*y + 3*y = 1, d = -4*z - 2*y - 2. Which is the smallest value? (a) 2\/13 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l + 3*b - 7 = -b - 27, 2*b = -239*l + 234*l - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -11*x + 41. Calculate y(10).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 196 + -198.13. Let w = x + 1.93. What is the smallest value in 3, -0.047, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -6*r**2 - 31*r - 15. Let l(k) = -k**2 - 6*k - 3. What is 11*l(d) - 2*w(d)?\nAnswer: d**2 - 4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-y + 2*y + 0*y)*((-2 - 4 + 3)*(-155 + 172 - 264) - 1 + 0 + 7) to the form m*y + t and give m.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 22626 and 1.\nAnswer: 22626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -666577 - -1281198. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -57.65 + -47.37. What is n rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -2*u**2 - 6*u + 7. Let n(c) = 3*c**2 + 13*c - 17. Let a(r) = 4*n(r) + 7*q(r). Give a(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 40, -5, -46, -83, -116, -145, -170?\n\"Answer: 2*p**2 - 51*p + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that -3*g**2\/4 - 197853*g - 13048603203 = 0.\nAnswer: -131902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 + 8*g**2 - 5*g - 4. Let d be k(7). Suppose -12*l = -d*l + 6. Let i be 0*(1\/(-2))\/(-1). Sort i, 5, l in decreasing order.\nAnswer: 5, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -86*a + 19 = -325. Solve -4 = -4*s + a*d, -2*s + d - 22 = 5*d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (106 - 103)*(-2)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 148290, -325.\nAnswer: -325, 2, 148290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -301, -699, -1073, -1411, -1701, -1931, -2089, -2163?\nAnswer: -2141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -30 times -117942\nAnswer: 3538260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**5 + q**3. Let b(f) = -6*f**5 + f**4 - 8*f**3 - f**2. Let w(y) = -2*b(y) - 14*t(y). Factor w(z).\nAnswer: -2*z**2*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5107, 10185, 15273, 20377, 25503?\nAnswer: 30657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h**2 + 1 - 1)*(-3*h - 2*h + 4*h)*(87*h + 235*h - 91*h).\nAnswer: 462*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve g + 5*n + 16 = 0, 0 = g - 6*g + n - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2101 - -2653. List the prime factors of p.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5 - -31411400551?\nAnswer: 31411401000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 25 and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the second derivative of c**6\/40 - 3*c**5\/20 + 3*c**4\/8 - c**3\/2 + c**2\/2 + 3*c. Let p(g) be the first derivative of a(g). What is j in p(j) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 279 = 1831. Suppose 0 = -c - 0*c + k. Suppose -i - 3*i + c = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h + 12. Let p = 0 - -6. Let m be f(p). Let g(z) = 4*z - 3. Let y(j) = -9*j + 7. What is m*y(r) + 14*g(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -125*c - 1619. Let i be f(-13). Suppose 3\/2*t**4 - 9\/2*t**2 - i*t - 2 + t**3 = 0. What is t?\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -13, -32 in decreasing order.\nAnswer: -5, -13, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/4 + 7 + 1675\/(-2). Let d be q*(14\/56)\/(6\/(-8)). Let u = d + -39. What are the prime factors of u?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*a**2 + 3316757 - 3316757.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3*(-14)\/(-49))\/(3\/(-1)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4923 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*d*s**3 - 2*d*s**2 - 254691964*d*s + 2*s**3 + 34881345*s**2 wrt s.\nAnswer: 12*d*s - 4*d + 12*s + 69762690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 14712931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 835136 * 412\nAnswer: 344076032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*i**4 - 3610*i**3 + 7180*i**2 + 14440*i - 28800.\nAnswer: 5*(i - 720)*(i - 2)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be (30\/20)\/(-1 + (-376592)\/(-376565)). Let z = n + -20914. What is the common denominator of z and -7\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -3575525 smaller than -3575675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -224*a**5\/5 + 1464*a**4\/5 - 1492*a**3\/5 - 1172*a**2\/5 + 144*a\/5 + 16 = 0.\nAnswer: -1\/2, -1\/4, 2\/7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18.901 - -18.829. What is the nearest to d in 7, 2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -17831 * 0.1.\nAnswer: -1783.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7826*p + 0*p**2 + 1 - p**4 + p**2 + p**2 - 7826*p + 37*p**3 to the form d*p + g + q*p**4 + l*p**2 + f*p**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 + -4e2c?\nAnswer: -4e2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is t in -2*t**2 + 11714*t = 0?\nAnswer: 0, 5857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -4*k - 2. Let c(u) = u**2 - 3*u - 2. Let i(t) = -3*c(t) + 2*n(t). Let z(v) = 30*v**2 - 18 - 3 - 11*v + 2*v. Let p(f) = 21*i(f) + 2*z(f). Factor p(q).\nAnswer: -3*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 187 - 1264*b**2 + 1238*b**2 - 187.\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply 584.4 and 735.\nAnswer: 429534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*o + l - 39, -7 = -5*l + 8. What is the closest to o in -1, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -48*u**2 + 3*u - 6. Let f be d(-6). Let z = f + 2669. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 15434 (base 8) to base 14.\nAnswer: 275a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1011100000 + -1100010100110100011?\nAnswer: -1100010011011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4.5? (a) -4\/5 (b) -2\/15 (c) 1195 (d) 5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.6 - -0.1. Put -0.3, 0, p, 2\/5 in increasing order.\nAnswer: p, -0.3, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*c**3*q**3 - 273*c**2*q**3 - 223*q**3 - 4*q wrt c.\nAnswer: -6*c**2*q**3 - 546*c*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -10 (b) -0.03 (c) 0.1 (d) 0.04 (e) -38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 + 9. Let m be (7*1)\/(o + -10). Is m < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 q, and 1 e when three letters picked without replacement from {e: 1, b: 2, q: 1, c: 1, a: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 3*f + 0 = -2, 0 = 2*d - f - 6. Is d at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/72*-3 + 0. Let u(j) be the first derivative of -1\/3*j**6 + 0*j**2 - 1 + n*j**4 + 0*j + 4\/15*j**5 + 0*j**3. Factor u(h).\nAnswer: -2*h**3*(h - 1)*(3*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.435356 and -73?\nAnswer: -31.780988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.11 - -0.29. Let f = 55 - 167\/3. Which is the third smallest value? (a) f (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 495*y + 12768 = -754*y - 730*y + 2283*y for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tdttdt.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*m = 243 - 376 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the third derivative of w**6\/120 - w**4\/12 - w**3\/6 - 13*w**2 + 19. Let h be 0 + (2 - 0)*1. Determine a(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/(-5) - (-9 + 10). What is the third smallest value in -2\/3, -4, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjfz when four letters picked without replacement from jzjvjvjzzzfzv?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the second derivative of -471*b**5\/10 - 303*b**2 + 259*b + 2. Differentiate k(f) with respect to f.\nAnswer: -2826*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33720017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 2*u**2 - 19*u**2 - 220 + 220 - 7*u**2. Let k(j) be the second derivative of -j**4\/4 + j. Determine m(k(i)).\nAnswer: -216*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*u**4 - 58*u**3 + 48*u**2 - 8*u = 0. What is u?\nAnswer: 0, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -73534, -73576, -73628, -73696, -73786, -73904, -74056?\n\"Answer: -b**3 + b**2 - 38*b - 73496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {y: 3, j: 4, q: 3, e: 8, v: 1}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the second derivative of 0 + 2*u**4 + 16*u**2 - 8*u**3 + 4*u - 1\/5*u**5. Solve c(v) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4229010*n*x**3 - 5*n*x**2 + 78*n*x - 713*n + 543*x wrt x.\nAnswer: -25374060*n*x - 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 38 + -17. What is the greatest common factor of 168 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 40 - 32450*p**5 + p**3 - 1 + 32439*p**5 + (-2*p**3 + p**3 + 3*p**3)*(-3*p**2 + 2*p**2 + 3*p**2).\nAnswer: -7*p**5 + p**3 + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 3, -113, 0, -2, 22, -1 in descending order.\nAnswer: 22, 4, 3, 0, -1, -2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (36\/(-56))\/(405\/(-180))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aby when three letters picked without replacement from accbycy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = g - 1. Is ((-1163)\/1)\/((-2)\/(4 - g)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1245 divided by -2.\nAnswer: -1245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 109857 is divided by 3923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 50250, 5, 0 in ascending order.\nAnswer: 0, 5, 50250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -2*w**3 + 9*w**2 + 3*w + 22. Let s be g(5). Let t be 4\/(s\/(-15)) + 6. Solve -t = -v - 0, 3*z + v - 10 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -18129 by 1.\nAnswer: -18129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -411*t - 2856. Let k be w(-7). Calculate the highest common factor of k and 2814.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 60656.71 micrograms to nanograms.\nAnswer: 60656710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -141479 (base 11) in base 15?\nAnswer: -4597b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5 and 39968735.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 + -1)\/((-14)\/(-4)*(-1200)\/420)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((0\/1)\/(-5))\/3. Solve 2 + o = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1489067.\nAnswer: 1489067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2538 and -0.2?\nAnswer: -0.05076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2496*b**3*t - 5*b**2 + 2*b*t**3 + 96*t**3 - 238*t**2 wrt b?\nAnswer: -7488*b**2*t - 10*b + 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -192*v**4 - 4724 + 273*v**4 + 2*v + 4722 in the form z*v**2 + c + p*v**4 + f*v**3 + r*v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2118948 or 2118947?\nAnswer: 2118948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 8*j + 12. Let g(k) = 7*k + 162 - 327 + 176. What is 5*f(b) - 6*g(b)?\nAnswer: -2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 2*k. Let d(z) = -169*z**2 - 424*z**2 + 11*z**2 + 172*z**2. What is b(d(u))?\nAnswer: -820*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9870 - 246712\/25. Suppose -31 = -5*u + 4*u. What is the common denominator of n and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - t = -1335, -2*y + 1674 = -7*y + 3*t. Let x = y + 604. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 475188*t*v**2 + 57124*t - 2 wrt v?\nAnswer: 950376*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**2 - 2*u - 123. Let d be c(-39). Calculate the greatest common factor of d and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 398 and 1555583?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/2640 and 109\/3696.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 - -1. Suppose 0 = m*z - 18 - 54. Let d be 3\/(-2)*z\/(-9). Solve -4*k = 0, d*r = -0*r + k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 16*b**2 - 4*b - 4. Let z be ((-3)\/5)\/(177\/(-3245)). Let p(q) = 47*q**2 - 11*q - 11. Calculate z*g(n) - 4*p(n).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m and 1 a when four letters picked without replacement from amaiwiweiwemmii?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-494)\/(-39) - 12)*1*-1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, h: 3, g: 13, u: 2}. Give prob of picking 3 g.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*6*(sqrt(60) - sqrt(15)))\/(sqrt(363) + (sqrt(363) + -2*sqrt(363) - sqrt(363) - sqrt(363)) + sqrt(36)\/(sqrt(24)\/sqrt(2))).\nAnswer: -4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-42)\/(-30) + ((-1352)\/(-320) + -3 - 3)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, 2\/5, -2, -6\/11, 3\/109, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kkp when three letters picked without replacement from {p: 7, k: 7}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = y + 5. Let m be k(-1). Solve 5*x + 40 = m*z, -5*z = x - 3 - 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the second derivative of h**4\/12 + 11*h**3\/3 - 20*h**2 + 14*h. What is the derivative of f(q) wrt q?\nAnswer: 2*q + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 10, 4, -21.\nAnswer: -21, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.12 (b) 0.6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 1 k when three letters picked without replacement from eeeeeeeeeexkeee?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0*(-3)\/9*-1. Let d be (3\/15)\/(-1) + (-42)\/(-10). Solve x*j = d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -13 + (-10 - 3) + 28. Solve -2*n = -u, -5*c - 8*n + 9*n = 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxc when three letters picked without replacement from {c: 2, k: 1, x: 2, y: 1, b: 1, m: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 604 = -10*c + 504. Let d(v) = 10*v**2 - 20*v - 78. What are the prime factors of d(c)?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*k = -r - 152 + 134, -5*r - 3 + 19 = -4*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 4, u: 5, x: 1}. Give prob of picking 2 t and 1 u.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 2.378 to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2081\/7 - -41053\/140. Calculate the common denominator of j and 51\/58.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-135)\/60 - 3\/4. Find the common denominator of -1\/48 and 4\/v*1330\/(-336).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 199822?\nAnswer: 2, 7, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 4871819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 0.005901 to four dps.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3882 + -3765. Is 118 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1338882?\nAnswer: 2, 3, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 117 + -51. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3259 + -3300. Let p(k) = -k**2 - 42*k - 43. What is p(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-d**2 - 5*d**2 + 5*d**2)*(6*d**2 + d - d) - 2*d**4 - 2*d**4 + d**4 as m*d**2 + c + b*d + p*d**4 + y*d**3 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -5*o - 9. Let u(a) = 9*a + 17. Let z(p) = 4*u(p) + 9*x(p). Let q be z(-7). What is the greatest common factor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*q**3 + 3518*q - 3518*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 171*r = -194*r - 10950 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 198\/5 bigger than 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 - (2 + -3 + -1). Suppose 3*s + 2*n = 4*s - l, -2*s + 1 = -5*n. Let z be (s\/(-2))\/(1\/(-2)). Solve 3*o - 4 = 5*b + 1, 4*b + 1 = z*o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 2*q**3 - 96*q**2 - 2*q + 93. Let t be p(48). Let x = 448\/3 + -151. Which is the biggest value? (a) x (b) 5\/6 (c) -2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 941000 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l**4\/5 + 16*l**3\/5 + 42*l**2\/5 + 36*l\/5 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3914884840.\nAnswer: 2, 5, 61, 1604461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 493 a factor of 119936054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Total of 50577 and -11.\nAnswer: 50566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -44, 141471 in decreasing order.\nAnswer: 141471, 4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -2*x. Let l(j) = 68*j**2 + j + 14114. What is q(l(d))?\nAnswer: -136*d**2 - 2*d - 28228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 38555 take away -148?\nAnswer: 38703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 15 = 3*j, -3*j - 6 + 21 = 0. Suppose 3*a - a = -s + 387, q = -5*s + 25. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -7*q**3 - 3*q**2 - 3*q + 3. Suppose 0 = 105*t + 144 + 276. Let o(v) = 8*v**3 + 4*v**2 + 4*v - 4. What is t*z(h) - 3*o(h)?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**3 - 16*j**2 - 18*j + 22. Let o be z(17). Suppose o*u - 28 = 4*y + 10, 0 = -u + 4*y + 14. Solve 5*d - 3*n = 8, u*d - 4*n - 8 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 29 + -336. Let n = q - -306.629. What is n rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64317408 a multiple of 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 997 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 (4\/(-165))\/(0 + (-12)\/30).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*d - 3*d + 9. Suppose 5*j - 10 = 0, d*i - j + 2 = 5*i. Suppose -2*v - 2 + 84 = i. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1599 and 15744.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((2*sqrt(98) + 4 + -1*-3*sqrt(98))**2 + 4)*1*2.\nAnswer: 3360*sqrt(2) + 29640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - 12 - (-4 + -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l + 3*l - 28. Let q be ((-36)\/(-8) - 4)*0. Calculate the least common multiple of ((-7)\/2 + q)*-4 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -155\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 1\/10, 2, -575, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ufhurqm. Give prob of sequence rm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -14503, -28987, -43475, -57967, -72463, -86963?\nAnswer: -101467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -16*z + 150. Is h(0) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 64 + -80. What is the common denominator of 122\/c - (-33)\/(-44) and 79\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1665 - 805 + 2899)*(2 + 0 - 3)*(3*z - 2*z**2 - z**2 + z**2).\nAnswer: 7518*z**2 - 11277*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.0043 - 213.9957. Let m = s + 213.99738. Round m to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3ba - -2838e?\nAnswer: 27ec4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(5\/4)*m**(-2\/9)*m)**(31\/2))**44 assuming m is positive.\nAnswer: m**(24893\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47866 = -2*p + 4*s, -p = p - 3*s - 47870. Suppose -81141 + p = -2*c. What is c rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -155.5333 times -0.04\nAnswer: 6.221332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-216)\/(-6))\/(-9))\/(1268\/(-28213)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -124*b - 112*b + 319*b - 102*b.\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 52 less than 0.05294?\nAnswer: -51.94706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 148552 and 5?\nAnswer: 742760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (62*x**3 + 645*x - 645*x)*(-7*x - 4 + 4).\nAnswer: -434*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 451943 is divided by 451878.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 583175*r**2 + 21*r - 58. Let h be w(23). What is h rounded to the nearest 1000000?\nAnswer: 309000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {z: 6, a: 2, e: 6, u: 4}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 116 - 124. Let d(k) = -5*k - 31. Let b be d(f). What is the highest common divisor of b and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 238 or 4542\/19?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*l + 2*l + 0*l)*(-21*l - 7*l - 2*l)*(-3 + 15 + 1) to the form k*l**2 + o + p*l and give k.\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -799*w + 37. What is the tens digit of f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 127 a factor of 219359821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.4 + 0. Let y = 1 - 2. Let f = 16218 - 16229. Which is the nearest to y? (a) h (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-8) + 9\/108. Factor 1\/3*r + i*r**2 + 0.\nAnswer: r*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -10*n**3 + 34*n**2 + 51*n - 12. Let z(m) = 4*m**3 - 14*m**2 - 19*m + 5. Determine -5*g(h) - 12*z(h).\nAnswer: 2*h**3 - 2*h**2 - 27*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -271.11399503 + 271.2161. Let q = x - 0.1021. What is q rounded to seven dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**3 - 28*u**2 - 23*u + 38. Let g be m(-27). Let s = g - -83. Let i = 59 + s. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**3 - 3\/4*b**4 - 3*b - 9\/2*b**2 - 3\/4.\nAnswer: -3*(b + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c = 3*b - 1 - 13, -2*b + 3*c = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Determine n, given that 2*n**5\/13 - 1192636*n**4\/13 + 177798771194*n**3\/13 - 355593964488*n**2\/13 + 177796385928*n\/13 = 0.\nAnswer: 0, 1, 298158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -16*u + 109. Calculate the least common multiple of 27 and d(4).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -72058695 divided by 24019565\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: a2 (base 12) to base 13\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1184380621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*q + 17*q - 84. Let x(n) = n**2 + 10*n + 38. What is the tens digit of x(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5077\/29 + 175. Suppose 0 = -g + 3*r + 10, r = -g + 3*g - 5. Which is smaller: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2347, -2350, -2353, -2356, -2359?\nAnswer: -2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 105499?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tts when three letters picked without replacement from sttttttt?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/463 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7 in -2, -35, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n - i - 8 = 0, -3*n - 66 = i - 83 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**2 - 6*k. Let r be s(6). Suppose -o = 4*t + 3, r*o + 16 = 2*o - 3*t. Suppose o*n = 103 + 122. Round n to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8\/13? (a) -0.2 (b) -1.7 (c) 5\/443\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3076*-0.1673.\nAnswer: -514.6148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1935 = -c + 42*w - 46*w, -4*w - 5805 = -3*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 1 + 1 + s**3 + 7*s**2 - 2*s**2. Let z be c(-5). What is the derivative of -z*x**4 + 5 - 3 + 0 wrt x?\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -237*d + 231*d + 990. Let j = 181 - d. What is the remainder when 53 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + (15 + -1 - 25).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 2*u. Let q(h) = 2*h**2 - 607*h - 2. Calculate o(q(i)).\nAnswer: 4*i**2 - 1214*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 20 + 10 + (-7 - 14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvueuuvvevvuevvvueu. What is prob of sequence ueu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 + 48*a - 59*a + 9.\nAnswer: -11*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3 - ((1 - -2) + -26049). Suppose 0 = 3*o + i + 185851, 0 = -5*o - 5*i - 102545 - 207200. Let h = o - w. What is h rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*z - 56 = -4*u, 307988*z = 307990*z + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14 + -2 + 11 + -3 + -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(832) - (sqrt(832) + 3 + 0))*-2)**2 + -4*(sqrt(832) + 1) + (1*sqrt(832)*5)**2 + 2.\nAnswer: -32*sqrt(13) + 21122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -489 - -1092. What are the prime factors of j?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8 and 1916744.\nAnswer: 1916744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -6*o**2 + o**2 - 767*o + 767*o. Let a(r) = -84*r. Determine m(a(n)).\nAnswer: -35280*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*r - 6*r - 6*r + (0*r + 0*r - 2*r)*(2 - 3 - 1))*(3 - 5 + 0) + 855 + 106*r - 855 to f*r + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 154 - 847 = -21*s. What is the remainder when 5177 is divided by s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 21 + 7. Let j(q) = -q**3 + 8*q**2 + q - 7. What is the tens digit of j(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -7*p**2 - 36*p + 2. Give n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**2. Let o be (2\/(-3))\/(2\/(-12)). Suppose 0 = -2*x + o - 0. Let a(s) = -x - 7 + 3*s**2 + 9. Calculate u(a(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1277977 - -1277977.24000059. Let f = -12.24 - -12. Let y = v + f. What is y rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/27 + (-561)\/(-81). Suppose h*j - 12*j = -3*k + 184, 4*k - 260 = 3*j. Does 68 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-4)\/8)\/((-47)\/24 - -2). Let b(n) = -n - 11. Let z be b(d). Let k = 6 - z. Calculate the remainder when 18 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1693*u + 1700*u - 21 = 0. Solve -u*p = -12, -12*p - 8 = 2*r - 13*p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 897118 is divided by 183?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 819 and 6279.\nAnswer: 18837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -5*p - 18. Let w be f(-4). Let x(c) = 1 + 0 - 5*c + 8*c - w*c + 2. What is x(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes before 3:23 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -5*a + 485. Let m be t(0). Let v = 497 - m. What is the lowest common multiple of v and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q + 13*q - 14 = 0. Let d be (0 + q\/1)\/((-2)\/(-3)). Let p(o) = -o**2 - 2*o + 2. Let z(x) = x - 1. What is d*p(r) + 6*z(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {p: 1, x: 1, c: 1, w: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*j + 3608 - 872 = 0. Calculate the highest common divisor of j and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -3940*o + 66961. What is q(17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 10071197?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 1, 14, 0.06 in ascending order.\nAnswer: -3, 0.06, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -45.5 - -28. Let o = -17 - m. Sort o, -4\/9, 4 in decreasing order.\nAnswer: 4, o, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = -f - 8. Suppose m = -2*i + f, 0 = 4*i + 5*m - 21 - 7. Calculate the highest common divisor of 5 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 16, -252, 1\/6?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -25 - -29. Let s be (t\/(-8)*2)\/(-1). Sort 9, s, -5, -2 in descending order.\nAnswer: 9, s, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3\/10622 - -6511301\/53110. Let a = -123 + j. Let b = 1 + -1. Sort -3, b, a in decreasing order.\nAnswer: b, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -t**3 + 6*t**2 - 5*t + 3. Let f be u(5). Suppose 20 = -5*s, 0 = 2*j + f*j - s + 16. Let o(n) = n**2 - 5*n + 1. Is o(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.47 - 0.5. Let p = -2.03 - h. Let r = -37\/5 - -7. What is the closest to r in 1\/2, -3, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4715.\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -16263498 - 0.23?\nAnswer: -16263498.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -20 + 20.09. Let n = 0.69 - i. What is n rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45*y + 1 - 41*y - 44*y - 80*y + 210*y + 2*y**2.\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 634 = 2*m, -3*m - 5*r = -10*r - 961. What is the highest common divisor of 132 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1264709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 152 minutes before 5:39 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-7038)\/(-161) + 4\/14. What is the units digit of (9383\/f)\/(5\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -74491\/5 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 7, -6 in decreasing order.\nAnswer: 7, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(3\/7))**(-30) assuming l is positive.\nAnswer: l**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 250 divide 21395706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 108*a = 1126 - 193 + 1335 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1560?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9 and 30268950.\nAnswer: 90806850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-76)\/(-6) - 12\/18) + 2. Suppose r = -23*f + 25*f. Solve 4*h - f = 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 980914?\nAnswer: 2, 11, 44587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2b77 + -68?\nAnswer: 2b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 261, 587, 881, 1143, 1373, 1571?\nAnswer: 1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -83 = -9*l + 2*w, -3*l + 27*w = 24*w - 72 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(76))**2*6 + sqrt(76) + sqrt(76) - sqrt(76)*1*5) + (-2 + sqrt(76)*-2)**2 + (sqrt(76) + (1 + sqrt(76) + sqrt(76) + sqrt(76))**2)*6 + -4.\nAnswer: 94*sqrt(19) + 4870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2592*-0.050732.\nAnswer: -131.497344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 57, 88, 121, 156, 193?\n\"Answer: v**2 + 28*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -3 (c) 1\/34 (d) 0.3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 40 (base 6) to base 9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/759 and (-503)\/(-48) - (251 + -241).\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2 or -1368\/1457?\nAnswer: -1368\/1457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, 0 in descending order.\nAnswer: 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 2*u**2 - 2*u - 1. Let f be y(5). Let x = 116 - f. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uue when three letters picked without replacement from uuuuuuuueuuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + l + 0)*(0 + 3*l**2 + 0 + (1 + l - 1)*(2 - 2 - l) + 2 + 2*l**2 - 2 - 6 + 2*l**2 - 3 + 1) in the form b*l**2 + a*l + r + t*l**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**2 - 7. Suppose -18*x - 29 = -173. Calculate the remainder when a(5) is divided by 4\/x + (2 - (-35)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((238\/(-51))\/((-2)\/(-6)))\/((-7)\/3507)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*v**3 + 12596*v**2 + 14724*v + 2104 = 0. What is v?\nAnswer: -1, -1\/6, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2 + 0)\/((-6)\/3). Suppose -15*h + 7*h = -32. What is the second biggest value in 0, s, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + ((sqrt(2) - (sqrt(12)\/sqrt(2))\/sqrt(3)) + (2*sqrt(72))**2 - sqrt(4)\/(-6*sqrt(8))))*-2*3.\nAnswer: -1698 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -9*c - 1. Let p be o(-3). Suppose 2*x - 4 = 2*s - 4*s, p = 5*s - 3*x. Solve -2*v - v = 4*j - 35, -s*j + 3*v + 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -2*k. Let s(l) = 306*l**2 - 2. Calculate x(s(b)).\nAnswer: -612*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the third derivative of -p**11\/66528 + p**9\/4032 - p**8\/2016 - p**5\/60 - 3*p**2. Let o(t) be the third derivative of m(t). Factor o(x).\nAnswer: -5*x**2*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 3, q: 7, v: 7, h: 3}. What is prob of sequence qvq?\nAnswer: 49\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-1\/33)*(u*u\/u**(1\/9)*u)\/u)\/(u*u**(-2\/3)*u**(-8\/11)) assuming u is positive.\nAnswer: u**(223\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 13729 + -13725. Let r = -2 + 2.1. Put i, -5\/6, r, -9 in descending order.\nAnswer: i, r, -5\/6, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-17822)\/1981 + 9)\/(1\/(-3)). Let p be -1621*7\/2547 + 1. Let y = p - m. What is the common denominator of 49\/10 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -38, 2 in increasing order.\nAnswer: -38, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 63105 and 248298.\nAnswer: 5222948430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.043 and 401?\nAnswer: 17.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = -9*n + 243. Suppose t - 4 - 2 = -4*u, -4*u - 6 = -t. Suppose 0 = v + t*l - 7*l - n, -5*v + 4*l = -101. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 866 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jdd when three letters picked without replacement from {j: 3, d: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 40 (base 6) in base 2?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s + 8*s - 5. Let l(n) = 5*n**3 - 2*n**2 - 2*n + 1. Let r(t) = t**3 - t. Let z(p) = l(p) - 2*r(p). Let h be z(s). Solve h*b - b = 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -20*h - 3. Let i be k(-4). Suppose 0 = c - 2 - 0. Suppose -8 = -c*l + 6. Calculate the greatest common divisor of l and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1509571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -361\/445 + 1\/89. Let i = 5221 - 5221.2. Which is the second biggest value? (a) z (b) -1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1919, 17, 6 in decreasing order.\nAnswer: 17, 6, -1919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m - 4*u = -10, 0*m + 2*m = 2*u - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*d + 3*d - 4*d)*(2 - 4 + 6)*(0*d - 4*d + 3*d)*(-4 + 2 + 1).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 4, g: 14}. What is prob of picking 4 p?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -l - 3*x, -3*l + 0*l = 3*x - 9. Suppose -l + 0 = -2*t, 5*n = 2*t + 11. Find the third derivative of 3*z**n - 15*z - 4*z**2 + 15*z wrt z.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -10*m + 2454. Calculate the remainder when f(76) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 0.04572179, 0.5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 136042851 equal to 136042851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k**2 + 7*k + 4. Let m be i(-6). Let f be m\/(-10) - 204\/(-30). Suppose -4*c - a = -24 + f, 2*a + 16 = 2*c. Solve c*b + 0*b = -20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -852*d + 402*d + 7650 = 0 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 36671, 73332, 109983, 146618, 183231, 219816?\n\"Answer: -m**3 + m**2 + 36665*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**2 - 62*t + 58. What is the units digit of u(-33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -3*l**2 - 55*l - 275. Give a(-5).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -6*v. Let w(n) = 7*n. Give 2*d(s) + 3*w(s).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6635632*d**3 + 57740*d**2 - d + 7?\nAnswer: 39813792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 2, -1, 31, 46, -5 in ascending order.\nAnswer: -5, -1, 0, 2, 31, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 346 + 950 = 0. Suppose -2*x + h = -470. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 0 - 2)*(23*d - 2*d + 7*d) + (0 + d + 0)*(-6 + 5 - 1) + 0 - d + 5 - 2 in the form b*d + k and give b.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*j = 39402 - 75478 - 131234. Does 40 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 2*k**3 - 13*k**2 - 13*k - 12. Let j(s) = 5*s + 20*s**2 + 21 - 3*s**3 + 15*s - 3 + 0*s**3. Let l(o) = 8*h(o) + 5*j(o). Determine l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 8\/(-24) + 14\/6. Let t(c) = 5*c - 3*c**2 - 2*c**d + 12 - 17 - c**3. Determine t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/18*10\/5\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 137 - 128. Let r(b) = -10*b**3 + 3*b**2 - 3*b - 3. Let n be r(-4). Is (n - g) + 1*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 123*r**2 + 55159086 - 55159086.\nAnswer: 123*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -9*b**3 - b**2 + 5*b - 29. Let f(z) = 5*z**3 + z**2 - 3*z + 15. What is -5*f(v) - 3*h(v)?\nAnswer: 2*v**3 - 2*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 26*s**2 + s + 57 wrt s?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -29779\/2834 - -11\/1417. Let u be (-1 - 14\/(-10))*-20. What is the common denominator of s and (38\/(-9))\/(u\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/c**(-1\/5))**(-5\/2)*(c\/(c\/(c**(-2)*c*c))*c)**36 assuming c is positive.\nAnswer: c**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -28 - -40. Calculate the remainder when 45 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1, -222, 0, -4, 5.\nAnswer: -222, -4, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1050145836.\nAnswer: 2, 3, 87512153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 191729201*u**2 + 1553175*u - 58 wrt u?\nAnswer: 383458402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 128 minutes before 12:56 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4332487.\nAnswer: 23, 188369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let 232\/5*a**2 + 0 + 294\/5*a**5 + 616\/5*a**4 - 24\/5*a - 718\/5*a**3 = 0. What is a?\nAnswer: -3, 0, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -197 = -3*p + 97. Calculate the remainder when p is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 3, -15, 14, -16, 5, 21 in decreasing order.\nAnswer: 21, 14, 5, 3, -1, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n + 42. Let b be (-1)\/(-2)*-6*(-70)\/15. What is the least common multiple of a(b) and 2?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(5 + 3 + sqrt(1300) + 0)*4)**2.\nAnswer: 40960*sqrt(13) + 349184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -2*n - 6. Let i be u(-6). Let w = 42886\/3383 + -1118\/199. Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h**3 + h. Let b(i) be the second derivative of 3*i**5\/10 + i**4\/6 + i**3\/3 - 3*i**2\/2 - 1410*i. Calculate -b(k) + 2*n(k).\nAnswer: -4*k**3 - 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1, -1\/9, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 89 = -4*u + u, -5*u - 159 = 4*g. Let l = -32 - u. Solve -3*r = -4*i + 12, 5*r = -3*i + l*r + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 33\/8 and -81\/455404?\nAnswer: 910808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 - -361?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -i - 9 = 3*g - 1, 5*g - 20 = 5*i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -4 greater than or equal to -2470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v - 3*g = 20, -7*v + 10*v + 4*g = -4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -70 + 102. Solve 0 = 5*n - 7 + p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 0, -18, -2 in decreasing order.\nAnswer: 0, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6.3 - 1.3. Let p be (-252)\/(-189)*(0 - -3). Which is the nearest to -0.2? (a) p (b) d (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 - 7*l**2 - 16*l - 6. Let y be f(9). Suppose 0 = y*b - 8 + 8. Suppose b = -3*w - 18 - 9. Which is bigger: w or -23\/3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*s + f + 13, -3*s + 24*f - 29*f - 11 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -40\/141 and 29\/99?\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) 0.2 (c) -0.0311557 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100010011101 - 11?\nAnswer: 100010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -53\/68 and -1\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -2*t**2 - 11*t - 6. Calculate the remainder when 11 is divided by d(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -258073, -515433, -772793, -1030153?\n\"Answer: -257360*m - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -592, -589, -584, -577, -568?\n\"Answer: p**2 - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**3 + 6*l**2 - 2*l + 6. Let m be z(6). Suppose 15 = 2*i - 7. Let y = i + m. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2 + (-38)\/21)*-3. Let n = -497 + 446. Let d = n - -52. Which is the nearest to d? (a) -1\/3 (b) 9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -793*x - 434*x - 389*x - 534*x + 1657*x.\nAnswer: -493*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -158, -654, -1614, -3146, -5358?\nAnswer: -8358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = -7*t - 37 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kq when two letters picked without replacement from qkw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -9*d - 20. Let a be k(2). Is -39 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**4 + c**3 + 1. Let j(n) = -n**5 - 7*n**4 - 14*n**3 + 28*n**2 + 3. Let x(d) = 3*h(d) - j(d). Solve x(z) = 0 for z.\nAnswer: -7, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1430, 9458, 29838, 68300, 130574?\nAnswer: 222390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s - 2*s - s**2)*((-3*s + 0*s + 11*s)*(3 - 3 + s) - 2*s + 2*s - s**2).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 11076*y + 1025. Is b(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 535, 1069, 1603, 2137, 2671?\nAnswer: 3205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve u + 3*l = -8, -821*u + 822*u + l = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.7767 (b) 0.2 (c) -1\/3 (d) 3 (e) 0.5 (f) -5 (g) -1\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 7089*n = 7068*n - 819 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39183?\nAnswer: 3, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-60)*3*(-18)\/24. What is the third biggest value in -3, -4, -1\/5, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d - 5. Let c be y(-6). Let f(w) = -28*w**3 - w**2 - w. Calculate the remainder when f(-1) is divided by 45*(c - 6\/9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l**2 - 13*l - 36. What is r(12)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -5*f**2 + 72*f**3 + 2 + 9*f**2 - f**2. Is a(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 459027 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2733 - 2578) + -81 + -1.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*o + 15 + 11 - 13 to the form k*o + c and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 2*x + 23 + 5, -5*j + 90 = 5*x. Let p = -13 + j. Suppose 2*m - 40 = -3*a, 3*a = 2*m + p*m - 100. Solve -2*o = 3*o - m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -15454, -24613, -33772, -42931?\n\"Answer: -9159*z - 6295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3239392531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -32 + 54. Let c be (2\/(-4))\/((-99)\/m - -5). Is c >= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/3*s**2 + 0*s**3 + 1\/6*s**5 - 1\/6*s - 1\/3*s**4 + 0.\nAnswer: s*(s - 1)**3*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 = -24*g + 25*g. Let u be 40\/g*(-7)\/(-2). Are 4 and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*t + 43*t = 270. Suppose 5*j = -4*d + 70, -3*j = d - j - 19. Is t at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6314 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (62\/(-2728)*66)\/(2*66\/(-16)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2 + -12012?\nAnswer: -12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22290986 is divided by 2476771?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 2160750, 4321473, 6482196, 8642919, 10803642?\n\"Answer: 2160723*a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 2*r**3 - 19*r**2 - 17*r + 327. Let i be w(8). Put i, 591, 9 in increasing order.\nAnswer: i, 9, 591","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 121.9 + -147. Let u = 25 + g. What is the third smallest value in 1, u, -53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -4, -3, -5, 558 in increasing order.\nAnswer: -5, -4, -3, 5, 558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j - 3*r + 20 = j, -3*r + 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4, 119, 48, -5, -3 in increasing order.\nAnswer: -5, -4, -3, -1, 48, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-79)\/(-395))\/((-1)\/3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40025 + 20014 + 20011 + 52*x**2.\nAnswer: 52*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 295856 is divided by 49307?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*b**3*r*s**2 + 2*b**3*r*s + 628741*b**3*s**2 - 4*b**2 - 23*r*s + 122 wrt s?\nAnswer: -8*b**3*r + 1257482*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 18 - 11*p - 7 + 17 + 17 + 12 in the form i + h*p and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/9 in -0.2, 1.4, 2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.2, -6, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 75078800 and 54900?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p + 3*x - 18, 5*p + 0*p = -x + 22. Suppose 4*j - 42 = -2*a, 3*a + 21 = p*a - 3*j. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 2 = s, 2*s + 3*s - 4*j = 24. Let c be s\/30*(5 + 1). Is c equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1242715 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 3038, 6641, 10808, 15539, 20834, 26693, 33116?\n\"Answer: 282*r**2 + 2757*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-2)*(-4 + 34\/4). Solve 2*v + 1 + u = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -8 in -0.166, 2\/19, 2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + 168 + 78. Let z = w - 77. Let y(n) = -6*n + z*n + 19*n. Let k(x) = 2*x**2. What is y(k(q))?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of h**5 + 232584426*h**3 - 198220*h**2 + 29 wrt h.\nAnswer: 60*h**2 + 1395506556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 102*r + 15. Let u be g(-2). Let m = u - -191. Determine f, given that 2\/5*f + 1\/5 + 1\/5*f**m = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**3 + 49*f**2 + 107*f + 48. Let z(v) = -16*v**2 - 36*v - 16. Let k(i) = 4*b(i) + 11*z(i). Factor k(o).\nAnswer: 4*(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0.03 (c) -3 (d) 0.2 (e) 9\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15146?\nAnswer: 2, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1 - (-2)\/(-4))*4. Let y be i\/8*-4 - -42. Suppose 0 = 6*q - 1443 + 363. What is the greatest common factor of q and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((sqrt(315)*2)\/sqrt(5))\/sqrt(9) + (2*sqrt(7623))\/sqrt(9) + 3.\nAnswer: 5 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3688169 is divided by 194114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 991 + -996. Let t(s) = 2*s**3. Let y be (2 - 0)*1\/(-2). Let v be t(y). Put v, -3, p in descending order.\nAnswer: v, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8877.134 grams in kilograms?\nAnswer: 8.877134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - 10334010113?\nAnswer: -10334010104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 234\/182 - (30 - 11048\/385).\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -15\/34 and -43\/1202?\nAnswer: 20434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 231*q**2 - 468*q**2 + 37*q + 247*q**2 in the form j*q + g + d*q**2 and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 2*s - 598 = -132, -3*s + 285 = 3*m. What is the remainder when 631 is divided by m?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 0.8, 0, -15\/7?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1881?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 4*p**3 + 14*p**2 - 9*p + 4. Let q be n(4). Calculate the highest common factor of q and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1011 (base 4) to base 2.\nAnswer: 1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -19813 + 9885 + 9936 - 2*o. Let y(d) = -11*d + 47. Determine -34*f(t) + 6*y(t).\nAnswer: 2*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the first derivative of -1\/6*p**3 + 2 + p + 0*p**2. Let r(f) be the first derivative of o(f). Let x(g) = -4*g**2. What is x(r(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -55*k**4 - 168?\nAnswer: -220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -83202 by -48.\nAnswer: 13867\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 4*x**3 + 18*x**2 + 11*x. Let d(z) = -z**3 - 6*z**2 - 4*z. Let y(c) = 7*d(c) + 2*i(c). Suppose -185 = 5*o - 220. Calculate y(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 93417?\nAnswer: 3, 31139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -68 + 71. Suppose 0 = -t*f - 3*m + 54, 3*f - m - 17 = 17. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (3 - (3 + -6)) + 29 + -38\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 35\/42226 and -19\/253356.\nAnswer: 253356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*t - 9*t - 5*t + 20*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-28)\/(-8) - 2 - (-5)\/10. Suppose 3*z + x*z - 25 = 0. Solve -24 = 5*r - 4*h, z*h - 32 + 7 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1 + (-2)\/(-1) + 16. Suppose -3*a + r = -14. Solve -b + 2*b = -3*v + 9, 5*b = 2*v + a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21020110 (base 3) in base 13?\nAnswer: -252c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 6 - 1)*(-2*b**2 + 9*b**2 - b**2 - 2*b**2 + 3*b**2 - 3*b**2 + (-b + 2*b - 2*b)*(5*b - 5*b + b) + 2*b**2 + b**2 - b**2).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -7*z - 2. Let s(g) = 20*g + 7. Let u = 32 + -28. Let m(h) = u*s(h) + 11*p(h). Let v be m(-2). Solve b + v = -4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 37.0275 centimeters?\nAnswer: 370275000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 2*r**3 - 7*r**2 + 10*r + 20. Let m be u(4). Which is smaller: m or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -88368*t**2 + 88373*t - 5.\nAnswer: -(t - 1)*(88368*t - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 13, 3\/43, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 279 and 15462.\nAnswer: 479322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1809582301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = -b - 5*d, b - d + 10 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 45306847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 113 - -9. Let y = 202 - q. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -17 * -90\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Add -501 and -39.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7 - 0. Let i = q + 7.5. Which is the nearest to 0.1? (a) i (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) 0.3 (c) 1.0442 (d) -2\/15 (e) 7\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (6*6\/1008)\/(24\/96)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 25 - 10. What is the remainder when (-957)\/(-22) - 1\/2 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from aeawawuaee.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -112149 - -180500. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:45 PM and 6:28 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/n**(-1))**(2\/89)*(n**1)**(-47) assuming n is positive.\nAnswer: n**(-4179\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of -y**4\/2 + 2*y**3\/3 - 20*y**2. Let j be w(-8). Calculate the greatest common divisor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -553685919*p**6 + 4*p**2 - 423*p - 17760.\nAnswer: -66442310280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -41527 + 124583\/3. Sort -0.3, 0, -6, 4, u in increasing order.\nAnswer: -6, -0.3, 0, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5363970050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the first derivative of w**2\/2 + 2875. Let b(j) = -1546*j**2. What is b(r(v))?\nAnswer: -1546*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 118 (base 9) to base 7\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1873247 (base 10) in base 13?\nAnswer: 50783c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 8*f**2 - 3*f + 3618 wrt f?\nAnswer: 16*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 23878213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-7)\/((-196)\/48)*-7. Let m be (-58)\/4 + 18\/12. Let j = d - m. What is the closest to 1 in -0.1, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2\/215 - 1481\/2580. Is q greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -3*p**2 - 2*p + 2. Let m(s) = s. Let k be (4 - 1\/1) + -1. Give k*m(n) + f(n).\nAnswer: -3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.9? (a) -4 (b) -0.5 (c) -1 (d) 3053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is (250\/(-45))\/(-10)*1\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.0893 and 2.\nAnswer: 2.0893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(((sqrt(208)*-1)**2 - sqrt(208)) + -2).\nAnswer: -206 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y be 205\/55 - (-3)\/11. Let a(o) = -30*o**3 + 4*o**2 + 4*o + 4. Let n(t) = -871*t**3 + 117*t**2 + 117*t + 117. What is y*n(v) - 117*a(v)?\nAnswer: 26*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0006884831 rounded to 5 dps?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -3*f - 19. Let h be k(-7). Suppose -v**h + 1 + 3\/2*v = 0. Calculate v.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1*4 + 1 - 528\/(-168). Let o = -228 + 228. What is the third smallest value in o, 0.5, 1, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 99*q**2 - 2138*q - 10152. Give k(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 51 = 2*t + 3*c, -3*t = -2*c + 96. Let q be (28\/(-5))\/(12\/t). Suppose q = 3*l - 37. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19 - 1 + 0)*(20 - 6*k - 21 - 7*k).\nAnswer: 260*k + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*q = 3 - 3. Suppose -2*i + 3*c + 288 = q, -3*c = 3*i - 300 - 162. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-45)\/456)\/((-9276)\/(-24736))?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 43.73064ng to milligrams.\nAnswer: 0.00004373064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 107445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 11 + b3?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 240006623 divided by 367\nAnswer: 653969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 149565 and 650?\nAnswer: 1495650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:12 PM and 9:56 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1754, -3432, -5096, -6740, -8358, -9944?\nAnswer: -11492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -61 + 98. Suppose w*p = 28*p + 126. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 31028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 32 = -2*h, 8*t + 4*h = 4*t + 20. Solve -5*p = -t*p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**3 - 15*k**2 + 14*k. Let n be h(14). Suppose n*r = 5*r. Let p be 56 + 4\/(-16)*r. What is the highest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g + 2 = 1, -3*d + 8 = 5*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.51 + 1.11. Let y = 124 + -120. Which is the closest to -2? (a) y (b) 1\/5 (c) z (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*j = -43*j + 1486. Let i = j + -487. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - (-10)\/14) + (-2460)\/(-35). Suppose 2*u + 5*w = -3*u + c, -32 = -2*u - 4*w. What is the remainder when 32 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 11, -10, 0 in decreasing order.\nAnswer: 11, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1043\/42 + 2\/12. Suppose 3*c - 4*i + 36 = -z, 2*c + 10 = -5*i. Let q(k) = k**3 + 16*k**2 + 13*k + 1. Is q(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14986, -29652, -44318?\nAnswer: -58984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 4*r + 4 - 11*r + r**2 - 2 - 1. Is w(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 5*g - 14, 5*f - 17171 = -3*g. What are the prime factors of f?\nAnswer: 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/((l*l*l**(-6))\/l)*l**(5\/4))\/(l\/(l*l\/l**(-2\/5)))**(-13\/6) assuming l is positive.\nAnswer: l**(253\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l = -28 + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1105 - -1107. Suppose -1542 + 190 = n. Is 1*o - (-9 + n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(-45)*-3)\/(1\/(-2))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a. Let o(b) be the second derivative of 827*b**3\/2 - b**2\/2 + 1076*b + 2. Determine x(o(j)).\nAnswer: 2481*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:20 AM and 11:37 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 3 = -2*p. Let i be p\/(1\/1*-1). Suppose -3*b + o + 25 = 0, -i*o = -4*b - 0*b + 25. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4925*n**2 - 2*n**3 - 1911*n**2 - 9131*n**2 + 3071*n**2 as f + j*n + b*n**3 + p*n**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10026400 + -10027289.0342. Let s = 889 + n. What is s rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2269.187516 to 1 dp.\nAnswer: -2269.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2)*(b - 2*b + 2*b) + 4697*b - 9332*b + 4 + 4661*b + (0*b + b - 2*b)*(-6 + 14 - 5).\nAnswer: 21*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12*6\/63 + 7909\/(-385) + 21.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 85\/28 (b) 31 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 212 divide 3407900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-2)\/g)**(-1\/8)*g**(-9)*g*g\/((g*g*g*g**(-3)*g)\/g*g)*g assuming g is positive.\nAnswer: g**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 178*b**3 - 5*b**2 + 5*b - 5. Let d(c) = 2135*c**3 - 61*c**2 + 61*c - 61. Calculate -5*d(h) + 61*p(h).\nAnswer: 183*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1922228 is divided by 87355?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 650*t**2 - 110*t**2 + 534*t**2.\nAnswer: 1074*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the third derivative of -i**5\/30 + 5*i**4\/24 + 7*i**3\/6 + 69*i**2 + 2. Calculate q(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the third derivative of -j**8\/1344 + j**7\/840 + j**6\/480 - j**5\/240 - j**2. Factor c(k).\nAnswer: -k**2*(k - 1)**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + (6 - 1) + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5\/2? (a) 4 (b) -2 (c) -102\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of -5*u**6\/24 + 29*u**5\/6 - 95*u**4\/6 - 100*u**3\/3 - 2*u**2 - 14. Let l(r) = 0. What is r?\nAnswer: -2\/5, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -43 = 5*d - 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ntyr when four letters picked without replacement from {n: 2, t: 4, r: 3, y: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1835, -3175, -4515?\nAnswer: -5855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2563066 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 + 8*y + 0*y - 2.\nAnswer: 8*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 20 = 3*r. Suppose -4*a = -2*k - 2*k - 4, 3*k + r*a = -19. Let c(f) = -f**3 + 12*f**2 - 2*f + 26. Let i be c(12). Put k, i, -4 in descending order.\nAnswer: i, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1253, -8151, -26367, -61559, -119385, -205503, -325571?\nAnswer: -485247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*m + 117*k + 105*k + 26 = 220*k, 0 = -5*m - 4*k + 3 + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -37.45 + 39. Round s to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is f in 28*f**3 - 9568*f**2 + 816012*f + 233928 = 0?\nAnswer: -2\/7, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*r**3 - 7752273 + 3876467 + 3875806.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -834.042 - -845. Let q = 21 + -10. Let b = q - s. Round b to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (3 - (2 - 0 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56733 is divided by 18646?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -497 in 1, 2\/5, 3, -14, -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 360*c - 128*c - 72*c - 100*c - 124*c.\nAnswer: -64*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -333100 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -2 < -1268\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3.716 - -0.284. Let l = -5 - -8. Which is the smallest value? (a) w (b) l (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 258\/(-24) + 11 + (-5)\/60?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f - 0*f - 30. Suppose -b = -3*b + f. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -94*i - 999 + 97 = 2219 + 1015 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 3*g = -123, -4*f - 192 = -5*g + 8*g. Put 4, 2, -1, f in descending order.\nAnswer: 4, 2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -122*g = 3*n - 121*g - 73, -4*n + 4*g = -92 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/45264 and -77\/432?\nAnswer: 407376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in -1\/4, -0.3, 27, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dek when three letters picked without replacement from {d: 1, k: 1, h: 1, e: 5, z: 1, y: 4}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of 13747789 and -0.4.\nAnswer: -5499115.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.3, -14\/5, 0.1, 3.5, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 + -4. Let o(d) = -d - 5. Let u be o(x). Suppose 0 = -k - u*k + 9. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -7 - 5*s**3 - 6*s + 0*s**2 - 5*s**2 - 4*s**2 + 13*s. Let b = 10719 + -10715. Let q(f) = 3*f**3 + 5*f**2 - 4*f + 4. What is b*g(p) + 7*q(p)?\nAnswer: p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*t**2 + 4*t**2 - 145*t**3 - 12*t**2.\nAnswer: -145*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 98251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 12 - -5952?\nAnswer: 5964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1070134883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2342\/7 - -334. Let a = 0.8 + -3.9. Let z = a + 3. Which is greater: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-156 + 162 - 109*w + 42*w)*(-2 + 1 + 0)*(0*w**3 + w**3 + 0*w**3) in the form u*w**4 + f*w**2 + x*w + l*w**3 + d and give u.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 58\/((1424\/890)\/(28\/(-35))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3.13 + 0.13. Let r = w - -3. Let v = r - 0.4. Which is the smallest value? (a) -1\/4 (b) -6\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 58*l + 1347. Let f be y(-23). Solve 0 = -14*t + 27*t + f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q**2 - 3*q - 2. Let y be a(-1). Let o be y\/(-8) - (-2030)\/56. What is the greatest common factor of 54 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 27 = 4*f - 67, 0 = -2*x - 4*f - 62. Let t = 42 + x. Solve -k = t*o - 13, 3*k - 6*o - 3 = -3*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 412*q - 9. Let t be i(2). Suppose 25 + 45 = 7*r. Suppose 2*f + t = 5*y, -r = -4*f + 10. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - 1053520\nAnswer: -1053521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-74 + -3 - -94) + -39\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 14 - 1 = 5*s, -s + r = 2. Let f(g) = -3 - 2 + g**2 + 0*g**2 + 4*g. Is 6 a factor of f(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*o + 5*o + 28 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -4*j**3 - 2*j**2 - j - 10. Let k(o) = -3*o**3 - 3*o**2 - o - 9. Let c(s) = 2*d(s) - 3*k(s). Let r = -41 - -36. What is c(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3\/574 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Are -797 and -37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9*70\/270*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -274 + 293.3. Let w = p + -6.5. Which is the fourth biggest value? (a) 1\/3 (b) 4 (c) w (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/3 and 2 + 1 - (-414)\/(-48).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3784260124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j - 3*j - j + (2 + 1 - 4)*(-2*j + 5*j - 2*j) + 2*j + 3 - 3 + 0 + 0 + 2*j - 2 + 2 + j - 11 + 11 + 11*j + (2*j - 6*j + 2*j)*(6 + 6 + 3))*(9 - 27 - 9).\nAnswer: 459*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of 288\/5*x**3 + 1579\/50*x**5 + 2*x + 141\/2*x**4 + 469\/75*x**6 + 7\/15*x**7 + 108\/5*x**2 + 0. Factor b(i).\nAnswer: 2*(i + 3)**3*(7*i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 113*j**2 - 3*j - 3.\nAnswer: 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**3 - 14*o**2 - 17*o - 12. Let h be t(15). Let k be (-48)\/(-12) - h\/(-8). Does 0 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v - w + 2 - 0, 5*v + 15 = 5*w. Let u = -6 + 8. Suppose -3*t - v = -u*t. Is t < -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) + (-2*sqrt(5) - sqrt(5)))*-2 + (-2*sqrt(30))\/sqrt(6).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4990 + -20055\/4. Let l = 35897\/6 - 6008. Find the common denominator of l and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -255*y**5*z**2 + 12*y**5 + 18*y**2*z + y**2 - 105*y*z + z**2 wrt y?\nAnswer: -15300*y**2*z**2 + 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 5*j. What is the closest to -1 in j, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -40.9 + 40.900000286. Round w to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (-1*(sqrt(2448) + -2 + sqrt(2448) + -2 + -1) + -2)*-1)**2.\nAnswer: -48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 79 = -15*x + 289 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 8*u - 58. Let v be p(7). Put -23, -7, v in increasing order.\nAnswer: -23, -7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3514947 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 3*d**2 + 3*d**2 - 1 + d + 2*d. Let h(p) = -5*p**2 - 2*p + 1. Let o = 9 - 13. Calculate o*h(m) - 3*n(m).\nAnswer: 2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes after 12:05 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -130*f - 348784 = -822996 - 1147928. What is the greatest common factor of 68 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -288, -498, -658, -774, -852, -898, -918, -918?\nAnswer: -904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Calculate 977217*-5.\nAnswer: -4886085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 66? (a) -3 (b) 0.2 (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**2 - p + 1. Let y be 168\/60*-5*1. Let v be (-4)\/y - 190\/(-70). Let w(r) = -r**3 + 4*r**2 - 2*r + 2. Let c(z) = v*f(z) - w(z). Factor c(d).\nAnswer: (d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*j**3 + 36*j**2 - 37*j**2 + 4*j**3 + 21 - 2*j**3 as d*j + u + n*j**3 + l*j**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 30 + 36 - 98 + 2*f + 30. Let j(y) be the first derivative of -3*y**2 + 6*y - 1. Calculate -5*j(t) - 14*q(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of -4\/21*g**6 + 8\/7*g - 13\/14*g**4 - 18 + 32\/35*g**5 - 22\/21*g**3 + 8\/7*g**2. What is n in h(n) = 0?\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -2*t, v - 2*t = -0*t + 20. Suppose 0 = -u + 4, 3*g = 4*u - 257 + 103. Let i = -11 - g. What is the remainder when i is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n**2 + 6*n + 4. Let z be d(-6). Suppose 2*i - 2*a + z*a = -2, 2*a = -3*i. Suppose 3 = -i*h + 5. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(((sqrt(24)\/sqrt(2))\/sqrt(6))**2 - sqrt(2)).\nAnswer: -10 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -292*j**3 + 7*j*p**3 + 11168*p**3 + 2*p wrt j.\nAnswer: -876*j**2 + 7*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-120)\/36*6\/35?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 471 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 401271 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be 10\/(6\/3 + -1). Suppose -o = -k - 0*k. Calculate the remainder when 29 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = 5*o + 15 + 5, 3*l - 16 = 4*o. Which is bigger: 13\/37 or l?\nAnswer: 13\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10000211211 - -210?\nAnswer: -10000211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r + 1. Let d(u) = -14*u**3 + 42*u - 42. Determine -d(c) - 42*w(c).\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 67 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*w**3 + 1512*w**2 + 161700*w + 3430000.\nAnswer: 4*(w + 28)*(w + 175)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 9 = -0*s + v, 3*v - 1 = -5*s. Solve 2*r - c + 9 = -2*c, -s*c = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 5, -4, 0.59?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -79 - (-16 + 9) - (-163 + 193)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 3*k - 7 - 20, k = -3*n + 9. Let t be (105\/k)\/((-2)\/(-6)). Solve 0 = -4*h + 5*r + t, 3*h - 4*r - 12 = 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 117 and (-12)\/28 - 1290\/(-70).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 77170 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3 and -0.2.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7381?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p + 2*k + 20 = 0, -37 + 5 = -4*p + 2*k for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20\/875*17\/(-51)*24\/16?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/7, -3\/8, -270\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**3 + 6*z**2 - z + 7. Let k be p(6). Let l(n) = -145*n - k + 124*n + 7. Is l(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 645.101962 rounded to the nearest ten?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be 87\/58*(-5)\/(15\/(-6)). Solve -2*m + u + 1 = -3*k, 4*k + 24 = -2*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 2 = -10. Solve -2*z = -z - y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 86 - 4 = 0. Suppose 12*w = l*w - 1794. What is the greatest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + g)*(-3*g**2 - 1 + 1)*(-3 - 1 + 5 + 3 - 3 + 2 + (0 + 0 - 1)*(1 + 4 - 3) + 2 + 4 - 4 - 88 + 61 + 52).\nAnswer: -84*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 407337 less than or equal to 407341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -50*m. Suppose j + 77 + 285 = 5*l, 5*l - 368 = 4*j. Let b be (l\/(-20))\/((-8)\/20). Let c(z) = b*z**2 - 26*z**2 + 15*z**2. Calculate k(c(f)).\nAnswer: 100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 2*k - 1 = 0, 5*k + 43 = 5*w - w. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - m - 3 = 0, 6*w + 5*m = 2*w + 30. Suppose w*u - 8*u = -60. What is the third derivative of 5*j**2 - 15*j**3 + 0*j**2 + u*j**2 wrt j?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 223198*n - 2231979. Determine b(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -455.635 plus -228738?\nAnswer: -229193.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 12 = 3*d - 472, 5*v = d - 148. Suppose i = -i + 1174. Let s = i - d. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -38 + -93. Let q = d - -196. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1*(4\/(-4) + 1). Suppose -2*g - f = -0*f - 5, 4*g - 6 = 2*f. Solve -o - g*o + 6 = x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-1\/2)*i*i\/((i\/(i*i\/i**(1\/4)*i))\/i)*i**(-1\/8)*i\/i**(1\/4))\/((i**1)**(-12))**(6\/19) assuming i is positive.\nAnswer: i**(1317\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -11100100010110011110 (base 2) to base 5.\nAnswer: -214412301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9578 is divided by 509?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is h in 45*h**5\/2 - 9015*h**4\/2 + 5965*h**3 + 1005*h**2 - 3975*h\/2 - 995\/2 = 0?\nAnswer: -1\/3, 1, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -219\/121559 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*p**2 + 30247*p + 43704.\nAnswer: -4*p + 30247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 3150829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-2)*18200\/(-1456).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -h + 3*c + 107, c = -5*h + 276. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30 + 28 - 85 - 46*q + 27 + 37*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.238 - 0.169. Let j = 0.188 - -0.081. Let v = f - j. What is the third biggest value in 2\/9, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 496 is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16*a**4 + 2*a**4 - 20*a**4 + 7*a - a**3 + 5*a**2 + 11*a**2 to the form y*a**4 + k + o*a + p*a**3 + g*a**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -950252180 to the nearest 100000.\nAnswer: -950300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t + 5. Let o(k) be the first derivative of 7*k**2 - 941. Give v(o(m)).\nAnswer: 14*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**3 - 5*s**2 - s + 4. Let l(u) be the second derivative of 0 - 1\/12*u**4 + 1\/2*u**2 + 0*u**3 - u. Let r = -34 + 30. Calculate r*l(m) + b(m).\nAnswer: m**3 - m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = -73 + 327. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*o**3 - 186*o**3 + 45*o**3 - 76*o**3.\nAnswer: -192*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 6*c - 3*c. What is the first derivative of 2*q**4 - 26*q**c - 7*q**4 + 26*q**3 + 1 wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 202232032 (base 4) to base 15\nAnswer: 2c217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (39 - 95 - -10) + 38 + 131.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 51.4007 and 0.3?\nAnswer: 15.42021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 5.9275 rounded to 1 decimal place?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 5\/(-10)*(-8)\/3*6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 9*g**2 - g + 1. Give m(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**3 + 62*k**2 + 70*k - 436. Let s be l(63). Suppose c - 15 = -5*v + 6, -v + 8 = 4*c. Let b(a) = -3*a**2 - a + 1. Let r be b(c). Sort r, s, 6.\nAnswer: r, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 711170147 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 - 38\/10)*-5. Let c(n) = 4*n**3 + v*n**3 - 12*n**3 - 4 - n**2 + 3. Determine c(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -60336288 divided by -55152?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5 + -3. Suppose -b = p - 3, -1 = -g*b + 2*p - 5*p. Calculate the highest common factor of 56 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-9)\/(-105)*(-141)\/9. Let n = -1469\/105 + c. Find the common denominator of n and 65\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-5)\/4 + 1 + 0. Let m = -8 + 8. Let p = -0.3 + m. What is the closest to 0 in 4\/9, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 13358 + -4575. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.045 - 1.022. What is the smallest value in w, 3, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 16 - -205?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + -34 + 2 + 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 101851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -829*x*z**2 + 2*z**2 - 35 wrt x?\nAnswer: -829*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*c + 0 + 0 + (4*c + 0*c + 0*c)*(-943 + 1929 - 966).\nAnswer: 78*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 148*u - 159*u - 66 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify p*p\/p**1*p*p*((p\/(p\/(p\/p**(1\/8))))\/p)\/p*p**(-3\/7)*p*p*p*p**(-6)\/p assuming p is positive.\nAnswer: p**(-143\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the first derivative of w**4\/4 - 2*w**3\/3 - 4*w**2 + 5*w + 49. Let u be m(4). Let z(f) = 1 + f - 2 + 2. Give z(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2912a (base 11) to base 6.\nAnswer: 515422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**3 - 33585*x**2 - 282139128*x - 2536532496.\nAnswer: -(x + 9)*(x + 16788)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 15730460.99963 - 15730379. Let g = 68.6 + 13.4. Let i = g - f. Round i to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 - -6.1. Let v = 3 - 2. Let u be (-18)\/24 + 14\/24. What is the nearest to v in u, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -10743, -10742, -10741?\n\"Answer: f - 10744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -2*c + 5*v + 41, -5*c - v + 85 = 0. Calculate the least common multiple of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b - 28 + 18 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**3 + 91*m**2 + 7232*m - 506. Determine a(-51).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 102 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16*25\/5*64\/1280.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -49*x**2. Let b(q) = 7*q + 3. Let t(f) = -40*f - 17. Let y(v) = -34*b(v) - 6*t(v). Calculate y(m(s)).\nAnswer: -98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -82.0205 - -82. Let z = 0.08 - 0.1. Let t = c - z. What is t rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.915091um to nanometers.\nAnswer: 3915.091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be -3*(-1 - (-4 + 2)). Let d be (-6)\/(-4)*(-4)\/y. Let k(x) = -3 - 7*x**2 - d + 4. Determine k(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 773 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1887*t**4 - t**3 + t**2 + 1907328*t?\nAnswer: -22644*t**2 - 6*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Total of 1.1 and -0.719.\nAnswer: 0.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 90 + -70. Suppose -t + 80 = 2*c, -15*c + n*c + 4*t = 200. Calculate the least common multiple of c and 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -192, -34, 1\/4, 0.08, 0.2 in increasing order.\nAnswer: -192, -34, 0.08, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose p**5 - 323*p**4 + 6097*p**3 - 11229*p**2 + 5454*p = 0. What is p?\nAnswer: 0, 1, 18, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-22)\/(-10) - 184\/(-230). Let d(l) be the third derivative of -l**2 + 0 + 1\/12*l**4 - 1\/6*l**x + 0*l. Differentiate d(v) with respect to v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 49*t - 103613 + 101408 = 0 for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 147006, 294432, 441858, 589284, 736710?\n\"Answer: 147426*z - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (4*c - 2*c + 23*c)*(0 + 0 - 3*c) in the form h + b*c + u*c**2 and give u.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 202190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 235862 and 10.\nAnswer: 1179310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (876\/294 + -3)\/((-14)\/49)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a = -4*a. Suppose 4*s = r + 52 - 3, a = 3*s + r - 42. Calculate the greatest common factor of s and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -29704 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2\/163 + -473\/1304. Let q = 52.5 + -53. Let v = -0.3 - q. What is the fourth smallest value in v, k, 0.4, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 3*x = -3*k + 79, 4*x = 5*k - 134. Suppose -2722 = -5*s + 2*v, -133*s + v = -131*s - 1089. Calculate the remainder when s is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iihhhhhhohyiiiiiyoh.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**2\/((w*w*((w*(w*w\/w**(-3\/5))\/w)\/w*w)\/w)\/w*w))**45 assuming w is positive.\nAnswer: w**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-2\/3)*v**(-14)\/v)\/(v**(-4))**(5\/4) assuming v is positive.\nAnswer: v**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 32 = 4*s, 4*t - 34 = -4*s + 5*t. Let c(h) = -h**2 + 11*h - 9. Calculate c(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 109*c**2 - 230*c**2 - 323*c**2 + 1045*c**2 + 962*c**2.\nAnswer: 1563*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2 - (-4 - -5))\/(1\/4). Solve 0*u = 4*u - 3*j, 5*u - s*j = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20874\/45 + (6 - (-528)\/(-90)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**2 + 13*y + 31. Let n be s(-11). Calculate the remainder when (-20)\/90 - (-371)\/n is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -80398, 4, 2, -36.\nAnswer: -80398, -36, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*b = 5*g - 21*b + 9, 5*g - 9 = -145*b + 142*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -2*t - t. Let b be (21\/6 + -4)*-4. Let r be b\/6 + (-8)\/12. Sort r, 2\/5, t in ascending order.\nAnswer: t, r, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 502537837 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-216)\/(-117)*3874\/(-4172).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-2\/5)*t\/t**(2\/3))**(-16)\/(t*t\/(t*t**(-2\/5))*t*t**(-2\/13)*t*((t*(t\/t**0)\/t)\/t)\/((t\/t**0)\/t)) assuming t is positive.\nAnswer: t**(-85\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -242 - 1128?\nAnswer: -1371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 70392 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**3 - 4*p**2 - 4. Let n be l(-4). What is the tens digit of (-21)\/2*n\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 315837781 to the power of 1\/2, to the nearest integer?\nAnswer: 17772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 4*h. Let l(v) = -3*v**2. Let m(t) = -3*t**2. Suppose -5*g - 8*o + 20 = -4*o, 0 = -5*o. Let d(x) = g*l(x) - 5*m(x). Calculate d(u(b)).\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 53 - -697. Calculate the highest common factor of 450 and y.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3 greater than -38\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11666361*a*t**4 - a*t**3 + a*t**2 - 2*a*t - 2648*a - 5*t - 36 wrt t?\nAnswer: 139996332*a*t**2 - 6*a*t + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -8*d - 10*d + 17 + 3*d - 2. Let j be v(-19). Suppose 0 = 2*b - j + 122. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 256, 1178, 2764, 5020, 7952, 11566?\nAnswer: 15868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 2*y + 10 = 0, 17 = -5*v - 4*y + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*w**4 + w + 2*w**4 - 138 + 11*w**4 + 415 - 204 - 3*w**3 to y + x*w**4 + r*w**2 + m*w**3 + u*w and give y.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**2*q**(10\/9)*q*(q**(1\/9))**(-2\/17))**31 assuming q is positive.\nAnswer: q**(6479\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*u + 135 = -27 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 15 = -5*u + 3*u, -2*u + 35 = 5*o. Let w be (-2)\/(-4)*(u + 55\/(-10)). What is the closest to w in 0, -5.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -z - 12 = -5*g, 0 = g - 3*z - 6 + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 2, x: 10, b: 3}. Give prob of sequence bpxb.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the second derivative of c**4\/60 - 28*c**3\/5 + 166*c**2\/5 + 811*c - 2. Factor a(p).\nAnswer: (p - 166)*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 130 - 70. What is the highest common divisor of v and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in -5, -9, 1\/4, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 16811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 11020, 44090, 99208, 176374, 275588, 396850?\n\"Answer: 11024*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1876 - 399. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 2*i = 60, -a = -5*a + i - 60. Let q = -15 - a. Solve 4 = 2*x + z, 3*x - 6*z + 2*z + 16 = q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + (3 - 2) - (4 + -20 + 23).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 68\/3 and 15\/(-6)*(-3127)\/(-10600)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 451*t - 40279 = 448*t + 4610. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 352*i - 174*i - 189*i - 8*i**2 in the form n*i + u*i**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -968308*v**2 + 1936623*v**2 - 968302*v**2.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 100 and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -265, -528, -791, -1054, -1317, -1580?\nAnswer: -1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4762, -9510, -14244, -18964, -23670, -28362?\nAnswer: -33040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10 in 0.05, 2, 4, 0.5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.3 - -0.2. Let v(h) = -h**2 + 4*h - 4. Let p be v(4). Which is greater: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (98\/12)\/7*279\/(-434).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2386 divided by -6.\nAnswer: 1193\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 22*w - 86. Calculate the remainder when 116 is divided by m(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10582028, -21164052, -31746078, -42328106, -52910136, -63492168?\nAnswer: -74074202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -13*k - 224. What is d(-20)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 95, 145, 233, 371, 571, 845?\n\"Answer: 2*q**3 + 7*q**2 + 15*q + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (856 - 7)*(2 - -2)\/12. Is y at most as big as 283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -4*b + 3, -30 = -4*n - 2*b. Suppose -4*g = n + 2. Let x = 1 - g. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*b = -23218 - 1287 - 4237. Calculate the remainder when 6171 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -59, -111, -163?\n\"Answer: -52*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 8, k: 3}. Give prob of picking 3 k.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 596665 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: Simplify (((u**(2\/23)*u)\/u*u**(-27))\/((u\/(u\/(u*u\/(u**(16\/9)*u))*u))\/(u\/(u\/((u**(3\/2)\/u)\/u*u)*u))))**(-31) assuming u is positive.\nAnswer: u**(329003\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2, -67, -2, 159, 15, 0.\nAnswer: -67, -2, -1, 0, 2, 15, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 6:06 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -155b (base 16) to base 3.\nAnswer: -21111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 388429040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2269, -2270, -2271?\nAnswer: -2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.35 + 0.3. Let d = 0.0311 - -0.0198. Let q = p + d. Round q to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 take away 176277158323?\nAnswer: -176277158322.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 96484483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 55 + -100. Let s = v + 25. Let i = s + 19. Which is the fourth smallest value? (a) i (b) 0.4 (c) -3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 246427867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, m: 1}. What is prob of sequence mmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u - 2*p - 4, -5*p = 4*u - 3*u - 2. Suppose z = -3*z + u*w + 2, 3*z + 4*w = -26. Which is the nearest to z? (a) -0.5 (b) 0 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 445742, 1782959, 4011652, 7131821, 11143466, 16046587?\nAnswer: 21841184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:38 PM and 8:05 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.5 + 0.9. Let s = 14.1 + -14. Which is the second biggest value? (a) -2 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that -p**2\/5 - 10920*p + 1256329\/5 = 0.\nAnswer: -54623, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - 5 - (3 + -9 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2966385.\nAnswer: 3, 5, 197759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 978323023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be 315\/(-15) - -22 - (-1 - -2)*-47. Solve 0 = -2*f + 46 - c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11203\/3817 - 9\/347. Find the common denominator of o and -107\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, -2, 100\/57, 691?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-80)\/(-16))\/(405\/18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1 + (-1)\/(-5))*-10 - -4. Is (2228\/o)\/(2 - 10\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -6*x**2 + 13*x + 1. Determine n(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15306, 29270, 43234?\nAnswer: 57198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l - 1. Let w(o) = 3*o - 4. Let b(n) = w(n) - 4*y(n). Let x(c) be the second derivative of -12*c + 0*c**2 + 1\/2*c**4 + 0*c**3 + 0. Give x(b(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*q + 3*q - 1534 = -74*q for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that -2*j**5\/11 + 32*j**4\/11 - 146*j**3\/11 + 68*j**2\/11 + 56*j - 784\/11 = 0.\nAnswer: -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11889 is divided by 290.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 8.527199 nanometers?\nAnswer: 0.0000008527199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (6 + -1 + 1 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2299, 9146, 20545, 36496?\n\"Answer: 2276*j**2 + 19*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - 15, -6 = -j - l + 3. Let w(o) = 43*o**2 + 59*o - 76. Let d be w(1). What is the greatest common divisor of d and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 5*q**4 + 110*q**3 - 915*q**2 - 1600*q + 14000 = 0.\nAnswer: -28, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/(35\/343)*8\/14*-1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 17 + 1 + -2 + -2. Let t = 6 + f. Solve 5*a + 4*g = 25, 0*a + 3*g - t = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5 - 2. Let z = 25543 + -25542. Sort 4, -5, z, q in decreasing order.\nAnswer: 4, q, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00257037783 rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14, -14, -10, -2, 10, 26?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2360887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ccr when three letters picked without replacement from {m: 2, c: 2, r: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*a - a - a)*(-183 - 139 + 240).\nAnswer: -410*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*b**4 + 1326664*b**3 + 110088534916*b**2 + 14294698466880*b + 464395604025600.\nAnswer: 4*(b + 65)**2*(b + 165768)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/3, -48\/37, -1\/9, 2\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nsnsnssnnnnnnnsn. Give prob of sequence sss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (10 + 4) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of 101100 and 0.097.\nAnswer: 9806.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 47 + -44. Suppose 0 = -5*z + 2*f + 109, 4*z = -i*f - 2*f + 107. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -110? (a) 54 (b) -10 (c) 26\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Calculate -301827225 - -89.\nAnswer: -301827136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 482968 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c - 1. Let j(m) = 7*m. Let s(q) = 6*f(q) - j(q). Let i be 2\/6 - 28\/3. Is s(i) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2\/(-2))\/((-18)\/54). Let n be (-40)\/650*(8 - y). Put 5, n, 8 in decreasing order.\nAnswer: 8, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8367 or 8368?\nAnswer: 8368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 2356122101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 137 - 169 = -j - 2*b - 87, 5*j - 2*b - 73 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:48 PM and 10:50 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + 3*i - 37 = -4*g, 0 = -g + i + 11. Suppose 84 + 156 = g*y. Suppose y*j = 19*j + 970. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3432174 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**2 - j + 1. Let z be d(1). Let p = -10595 + 10593. Sort 0, 3, p, z in descending order.\nAnswer: 3, z, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6.56 + -10.56. Which is the fourth biggest value? (a) u (b) 0.1 (c) 70 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is q in 4*q**5\/9 + 749876*q**4\/9 - 2999552*q**3\/9 + 999856*q**2\/3 = 0?\nAnswer: -187473, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 2 (b) -2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ijj when three letters picked without replacement from jljjaldjjajaiadlad.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, z: 2, c: 1}. What is prob of sequence zc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 4795278 divided by 123\nAnswer: 38986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*v**5 - 8670*v**4 + 767234*v**3 + 6080846*v**2 + 1769596*v - 1293824 = 0.\nAnswer: -7, -2\/3, 1\/3, 128, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 268 - 153. Suppose -124*d + 18 = -s*d. Solve -d*i = -5 - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 11*h**2 - 93509*h - 467820.\nAnswer: (h + 5)*(11*h - 93564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -54622540*a**3 + 42*a**2 - 589*a + 262 wrt a.\nAnswer: -327735240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7 + 11. Suppose -v - 125 = -6*v - u, -4*u + 100 = c*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 35.57357 tonnes to nanograms.\nAnswer: 35573570000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -220153415 + 1?\nAnswer: -220153414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 68 + -64. Which is the closest to -0.1? (a) -13 (b) f (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(-4) - 1039\/(-2). Let c be 1 - g*(2 + -3). Suppose 2*s + 5*o = 159, 5*s = 5*o + c - 210. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**2 + 9*m + 14. Let v(s) = 3*s**2 + 26*s + 41. Let j(x) = -7*k(x) + 2*v(x). Let w be j(-9). Solve t - w*f - 6 = 1, -5*t - 5*f = -20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -567, -453, -301, -93, 189, 563?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -559 (base 10) to base 8.\nAnswer: -1057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -86\/119 + 5\/17. Let u be ((-6)\/(-2))\/(6\/8). Suppose 0 = 2*h + 3*i - i + u, 2*h + 4*i = -8. Is n < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f - 3*y - 2, -2*f - 5*y + 7 + 8 = 0. Let q(j) = j - 3*j - j - 2. Let a be q(-4). Calculate the greatest common divisor of a and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**3 + 2*q**2 + 2*q - 3. Let o be m(2). Let k = 1.3 + -0.8. What is the biggest value in k, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -962.2794 - -963. What is n rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0 + 0 - (-7 + 5). Let t(h) = h**2 - 8*h - 5. Let v be t(7). Let s be -1*v\/(-9) + 3. Which is bigger: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*v + 34 - 6*v + 78*v**2 - 4*v - 13 - 39 to u + q*v + l*v**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(2\/7)\/(d*d**(2\/9)*d))\/(d**(-2\/11))**34 assuming d is positive.\nAnswer: d**(2942\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**0)**(-34)*p**(-1\/4)*p**(6\/11) assuming p is positive.\nAnswer: p**(13\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 255248.\nAnswer: 2, 7, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h = -4*v - 2755 + 2751, -6*v - 8*h + 36 = -3*h - 4*h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 28, 10, 1, 2, -2, -0.2, 61.4?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(288)\/(sqrt(12)*-3))\/sqrt(8).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, q: 9}. What is prob of picking 2 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -41 (base 7) to base 13\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -603 + 603. Let o(a) be the first derivative of f*a + 0*a**3 + 0*a**4 - a**6 + 0*a**5 + 1\/2*a**2 - 3. Find the second derivative of o(m) wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:34 AM and 12:44 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*d + 4*p - 0 - 5, -3*p + 15 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 295668\/11 + -26879. Let y be (-48)\/(-315) - 2\/7. Let r = 2.8 + -3. What is the second biggest value in y, w, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/m**(-2\/17))**(-1\/9) assuming m is positive.\nAnswer: m**(-19\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 4*v**2 - 29*v - 36. Let p(h) = 3*h**2 - 27*h - 36. Let x(n) = 5*p(n) - 4*s(n). Let i be x(-17). What is the second smallest value in i, -0.5, 86?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1563637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 5*c**2 - 7*c + 2. Let f(l) = 6*l**2 - 8*l + 3. Let r(s) = 4*f(s) - 5*v(s). Let m = 5 + -3. Does 2 divide r(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -ac4 + -2?\nAnswer: -ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11726 is divided by 142?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -77*d**3 + 158*d**3 - 365*d + 367*d.\nAnswer: 81*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrt when three letters picked without replacement from rrtrtttsttrtrfrfm.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3403 is divided by (-13)\/(19\/(-21) - (20\/21)\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**2 + 3519*d - 42095. Determine w(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let g = -1848 - -5540\/3. Which is the biggest value? (a) 3.4 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3097037458387 - -1.2.\nAnswer: 0.8902962541613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 2*12\/(-8) - (-184 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 361251 and 1107?\nAnswer: 1083753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bvbvvbbbmmvtbtvtmbv. What is prob of sequence mtbm?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*o - 3*o - 30. Suppose o = -2*p + 14. Let l(v) = 2*v**2 + 4*v - p*v. Let b(m) = -m. What is l(b(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-2\/5))**(-13)\/(z**(-2\/5))**(1\/54))\/(z*z\/z**0*z**(2\/7)*(z**(-1\/4))**(-1\/42)) assuming z is positive.\nAnswer: z**(3149\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m = 5*m + 20. Let k(o) = -74*o**2 + 3*o + 4. Let i be k(m). What is the common denominator of (-6)\/(-8)*i\/(-144) and -79\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.316427 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 347736721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - -13918.08637754.\nAnswer: 13918.08637754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/1 + (-26)\/(-2). Let x = 4 + -4. Suppose -b + 2 + 3 = x. Solve u + 4 = -b*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 23291\/8 + -2911. Which is the biggest value? (a) 2\/11 (b) 0.3 (c) u (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, 32, 1, -864, -2 in ascending order.\nAnswer: -864, -2, -1, 1, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h + 2*g + 22, h + 2*g - 26 = 3*g. Let u(a) = -3*a**3 - 7*a**2 + 29*a + 74. Calculate the smallest common multiple of u(-2) and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnguluf. Give prob of sequence fgu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -10395\/2 - -5199. Solve 3\/2*z - 3*z**3 + 0 + 0*z**2 + i*z**5 + 0*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 293635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 99 and 42845.\nAnswer: 385605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 1498*y - 1453*y - 990 = 0 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*l + l - l)*(-3*l**3 + 6*l**3 - l**3 + (56*l - 95*l - 271*l)*(2*l**2 + 2 - 2)).\nAnswer: -1854*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1850 - -1054. Let z = j + 7187\/9. Calculate the common denominator of (-14 - (-2220)\/150) + ((-534)\/(-40))\/3 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/15*-6 + (-6222)\/(-510). Suppose -s + 3 = -0*s. Let r be -5*-2*s\/6. Solve -d = r*c + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(-16)\/m*m*m**16*m*m assuming m is positive.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3, 6\/287, 2.6, -0.2, -0.4, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2777787079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -1 - (-3 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -247034 (base 8) in base 16?\nAnswer: -14e1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 620167?\nAnswer: 281, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + 8 + (3 - 4) - -22?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 53410417 to the nearest integer?\nAnswer: 7308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 27125*y**4 + y**3 + 30*y + 492 wrt y?\nAnswer: 325500*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 7 = -m + 4*d, -15 = -5*d. Let c be 10\/20*(-792)\/(-2). Calculate the highest common divisor of m and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (49 - 43) + 2 - (1 - (-5 + 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-2)\/(-5) - 4\/10) + 3. Solve 0 = -f - k*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 84 = -5*r - 13, -r = 3*x - 4. Suppose 4*p + 5*o - 42 = 165, -3*o = -3*p + 135. What is the remainder when p is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1152 is divided by 382.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 204 is divided by 145.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (0 + sqrt(7) + 3 + sqrt(7))*2.\nAnswer: 1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.05 * 2082444\nAnswer: -104122.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-1)\/4*(13 - 12))\/((-1)\/2). Let z(x) = x**2 + x + 1. Let j be z(-2). What is the closest to o in -4, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16381747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 961*d + 3385*d + 544*d + 112470 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 = -0*t + 3*t. Let j be (-5)\/(t\/(-244))*-1. Let d = 303\/5 - j. Which is the third biggest value? (a) -4 (b) d (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes after 4:57 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3.492693nm?\nAnswer: 0.003492693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -172138, -172140, -172142, -172144, -172146?\n\"Answer: -2*h - 172136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**3 + 6*f**2 + 9*f + 7. Let l be x(-4). Solve 2*n + l = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -2*g**2 + 18*g + 3. Let q be c(9). Suppose -548 = -4*h - q*l, 0*h - 5*h - 3*l = -682. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -49533 - -0.2.\nAnswer: -49532.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 17206406, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 54 - 814. Let z = d + 761. Suppose -3*r = -3*m + 15, m + 0 + 5 = -4*r. What is the closest to z in -0.4, -0.5, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the third derivative of g**5\/20 - g**4\/8 - g**3\/2 + 2*g**2. Let p be m(-2). Let q = -9 + p. Calculate the highest common divisor of 54 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(1\/12)\/(m**10\/m) assuming m is positive.\nAnswer: m**(-107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 114.1*-88481.\nAnswer: -10095682.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*g + 2*g + 0*g)*(3*g + 0*g - g) + (-1 - 1 + 9)*(2 - 2*g - 2)*(1 + 2 - 1)*(-17*g - 11*g + 7*g) as v + o*g + b*g**2 and give b.\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = -693733 + 1238033. Suppose h + 4*h = n. Suppose -2*z + h = -165140. Round z to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/10*4\/((-663)\/(136\/8)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (2 + 286\/16)\/((-42)\/(-7)) and -105\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(1\/3)*w\/(w*w**(2\/9)\/w))**(-29)*(((w**(-5\/4)\/w)\/w)\/w**(-7))\/(w**0)**(-1\/10) assuming w is positive.\nAnswer: w**(-1025\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/6)\/((-10)\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ewee when four letters picked without replacement from weeeweeeeeeeweweeee.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -47 + 52. Let f = 0.2 + -0.3. Let s = 7\/15 + -4\/5. Sort g, s, f.\nAnswer: s, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 70860, 73761, 78596, 85365, 94068, 104705, 117276?\n\"Answer: 967*o**2 + 69893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 360463 is divided by 1123?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -20 + 27. Let v = o + 1. Is 12\/v*140\/6 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 209895 - -139.2.\nAnswer: 210034.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 93759, 93760, 93761, 93762, 93763, 93764?\n\"Answer: z + 93758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-52)\/104)\/(10\/2*-1)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 + 789*j - 29829. Determine o(36).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 153038, 2, -5?\nAnswer: 153038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the first derivative of -y**9\/504 + y**5\/60 + y**2\/2 + 2. Let l(x) be the second derivative of u(x). Find the third derivative of l(j) wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/178 or 19\/3?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -51 + 61.6. Round a to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.012927 and -5747.79.\nAnswer: -5747.802927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -606*g - 90783. Calculate r(-150).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3 - -1)\/(4\/(-16)). Let j(k) = 3*k**2 - 29*k + 5. Let z(p) = -p**2 + 10*p - 2. Let t(v) = 4*j(v) + 11*z(v). Is t(w) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 149 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -10\/3*p + 4\/9*p**2 + 0 + 2\/9*p**3.\nAnswer: 2*p*(p - 3)*(p + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 269280, 270246, 271210, 272172?\n\"Answer: -s**2 + 969*s + 268312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3\/5 (b) -2\/9 (c) 2\/151 (d) -4373 (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2202696 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2482441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s**5\/7 - 452*s**4\/7 - 458*s**3\/7 + 908*s**2\/7 = 0 for s.\nAnswer: -2, 0, 1, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/(-7))\/((-2)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 102 and 1554.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 27040 and 672.\nAnswer: 567840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -29155, -116604, -262353, -466402, -728751, -1049400, -1428349?\n\"Answer: -29150*i**2 + i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from {w: 1, v: 4, g: 4, s: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 391569906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 334 and 12.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -28*z**2 - 109*z + 30. What is the least common multiple of p(-4) and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(4032) + 3*(sqrt(4032) - 1*sqrt(4032)) + sqrt(4032) + sqrt(4032) + sqrt(4032))\/(-2*((-3*sqrt(81))\/sqrt(9) - sqrt(9))) + 4.\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18, -57, -112, -177, -246, -313?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5952.64761ns in weeks?\nAnswer: 0.000000000009842340625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 66 divide 258320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*i - 330 = 4*i. Suppose -5*h + i = 11. Calculate the highest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 3*v**3 - 7*v**2 - 2*v + 7. Let h be z(5). Suppose 2*m = -3*u + 207, -u + h = m + m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-370*f + 5 + 369*f + f**2 - 3*f**2)*(0 - 1 - 1).\nAnswer: 4*f**2 + 2*f - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {b: 2, m: 1, q: 5, e: 2, w: 1, i: 6}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 20347 = 5*f, -5*f - 5*w = -4681 - 15634. What are the prime factors of f?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 97326 is divided by 8808.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 687*c - 687*c + 43*c**2 + 5*c**2.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 16 - 14. Suppose -b - l*p + 24 = -p, 0 = -2*b - 5*p + 57. What is the remainder when 60 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * -3\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -1\/26, 22, -0.298?\nAnswer: -0.298","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 z when three letters picked without replacement from zncccnuncccun.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/v**5*v)\/v*v*v\/v**2*v)\/((v*v**(-1\/2)\/v)\/v**5) assuming v is positive.\nAnswer: v**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of -523*u**6\/5 - 7*u**3\/3 - 14*u**2 + 787*u. What is the second derivative of m(w) wrt w?\nAnswer: -37656*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -130942 and 0.3375566?\nAnswer: 130942.3375566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-84)\/2)\/1 - (60 - 42).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + (5 - 4) + 4 - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -88*u + 390. Calculate i(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 2*i**2 + 7*i + 4. Let j(l) = -11*l + 8 + 5 + l**2 + 1. Suppose 0 = p, s = p + p + 9. Let g be j(s). What is r(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3427159 is divided by 942.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = 4*y, -4*s + 1859*y - 34 = 1848*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-1\/4)*c**(8\/7))\/((c\/(c\/c**13))\/((c*c**(3\/10)*c)\/c)) assuming c is positive.\nAnswer: c**(-1513\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + (-36 - -44) + (1 - 5 - 53)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-428)\/7062 + 172\/(-66))\/(2*1\/(-12)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 44*q**2 - 2*q + 1. Let m be a(1). Let h = -21 + m. Let k = -16 + 38. What is the greatest common factor of h and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-3)*31284\/(-869).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 5, e: 3}. What is prob of sequence zeez?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let 6*q**2\/19 - 99896*q\/19 - 33584462\/19 = 0. What is q?\nAnswer: -989\/3, 16979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 102 - 96 - (-30 + -5 + (3 - (0 + 2))).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 3, q: 5, x: 4}. Give prob of picking 2 b and 2 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -83.064, -20, -2\/9?\nAnswer: -83.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -3*v - 25. Let c be n(-9). Solve 5*a + c*r - 12 = -0*r, -a + 3*r + 16 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 (base 7) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - -6) + -4 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -2*v - 3*v + 11*v**2 + 2 - 10*v**2. Let t be n(3). Let g = 44 - t. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3272 - 3272. Solve 2*i - 20 = -6*s + s, x = -4*s + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.1 - -0.2. Let x = -0.3 + r. Let y = -675.52 - -675.12. Sort 1.1, y, 3, x.\nAnswer: y, x, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (114\/95)\/(1\/5). Calculate the common denominator of 29\/48 and p\/1 - (-429)\/(-78).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 2*s**2 + 6*s - 831. Let z be p(19). Let b(o) = 3*o - 3*o - 4 + 5*o + 0. What is b(z)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -f + 2*x, -5*x - 12 = -2*f - 3*x. Let g be 4\/(-3) + 8 + (-856)\/132. Sort 2, f, g in increasing order.\nAnswer: g, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 = -4*a + 6. Let f(o) = 4*o**2 - 2*o - o**2 - 2*o**2 + 1. Calculate the remainder when f(6) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -1.3 (b) 2\/7 (c) 2029.811\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-212*l**2 - 75399*l + 7 + 75399*l)*(14*l - 5*l + 3*l).\nAnswer: -2544*l**3 + 84*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 458.8 + -456.8. Let x be (12\/(-55))\/(2\/5). Sort r, -4, x.\nAnswer: -4, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -417429\/82660 + -1\/20665. Let k be (14\/(-42))\/(3\/90). Find the common denominator of v and 1\/(7\/35) - 33\/k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 173246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1560, -1567, -1560, -1533, -1480, -1395, -1272, -1105?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 44\/5 of a millennium in years?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.4 - 2.2. Let b = 0.3 - 0.5. Let f = b - a. What is the smallest value in 2\/11, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*u - 5*u - 306. Suppose 2*s - 3*s + u = g, 0 = 3*s - 4*g - 320. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.16 + 0.2. Let d = b - -0.96. Which is greater: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -1514.2+-0.1\nAnswer: -1514.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -593 - -5?\nAnswer: -58c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 6*k + 1. Let i(f) = -63*f - 173. Let g(b) = 2*i(b) + 18*y(b). Let z be g(-32). What is the highest common divisor of z and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 5 = u, 3*u = 2*l + 13 + 2. Let s be 10\/(-36) - (-2)\/(-9). What is the closest to 0.1 in -0.4, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**3 - 6*d**2 + 7*d - 12. Let o be g(6). Let v = o + -37. Let w(q) = q**2 - 12*q - 11. Does 21 divide w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -64661, -64627, -64573, -64499, -64405, -64291?\n\"Answer: 10*w**2 + 4*w - 64675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 2*x**2 - 5*x + 4. Suppose 12 + 2 = 7*n. Let m be k(n). Let p(f) = 2*f**m - 4*f**2 + 6*f**2 + 0*f**2. Let q(r) = r. Determine p(q(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 4*s - 4*r, 3*r = s - 0*r + 14. Let v(f) = f**3 - f**2 - f - 1. What is the remainder when v(2) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 - -443?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 3581.\nAnswer: -4\/3581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12 - -36. Suppose 0 = t + 4*x - 14, t + 2 = 4*x - 0. Let v(z) = z**2 - 6*z + 6. What is the least common multiple of p and v(t)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1\/1068 - -1239\/445. Let c = -1\/360 + -3989\/360. What is the common denominator of c and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 146.59 - 146. Let u = b + -124.59. Let g = u + 124.0133. Round g to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22 - 11 - 13 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - -2 - -2) + (-41 - -74 - 55164\/1254).\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -1 + 2 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7863?\nAnswer: 3, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -123508, -123505, -123502, -123499, -123496?\nAnswer: -123493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = p + 4*p. Suppose f - 5*n - p = 0, 2*f - 4*n - 13 = -n. Suppose f*x**3 - 4*x**2 - 1\/2 - 7\/2*x = 0. Calculate x.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 3*t - 3*s - 54, 2*s = -3*t + 62. Calculate the remainder when 83 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 184, 180, 174, 166, 156?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.7821 - 12.638. Round n to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes after 6:02 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 20 = -10. Suppose m = -t - o + 19, t = 5*o + 43. Is 11 a factor of (-1)\/1 - (-4 - t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f such that -f**2\/5 - 180656*f\/5 - 361292 = 0.\nAnswer: -180646, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 1, 4, -0.5, -60?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 79*z - 47185 + 39601 for z.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29 - (-37 + 46 - -29).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12464868?\nAnswer: 2, 3, 13, 79903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 33011133 - 301?\nAnswer: 33010232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:26 PM and 10:29 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2.08+19\nAnswer: 21.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11 + 10. Let k = 5\/2 - 4. What is the closest to l in k, -2, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 2*n = -5*j + 4, -7 = 5*n + 4*j. Suppose 0 = -21*i + 12*i + 36. Let s(o) = -i - 36*o + 1 + 34*o. Determine s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 4*b**2 - b. Let f be p(1). Suppose -3*n - 7 = 5. Is f\/((-6)\/n) - -35 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -3*b**2 - 14*b + 7. Let f be g(-5). Let q(i) = -2*i**3 + 1. Calculate q(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor v**2\/5 + 7*v\/5 + 12\/5.\nAnswer: (v + 3)*(v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -2\/3, -623, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 72*l**2 - 5*l - 26. What is the units digit of r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 2 - 12)*(4*s**2 - 5*s**2 - s**2).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(5 + 0 + sqrt(448) - sqrt(448))*-2)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2068 + -2067.93. What is the biggest value in w, 4, 0.5, 0.04?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (20010\/36)\/(-29)*3\/(-160) and -83\/40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1\/(-1) + (35 - 13) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes after 11:15 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**3 - 13*w**2 - 12*w + 5. Let s(r) = -r**3 + 10*r**2 + 5*r - 23. Let j be s(10). Suppose 28*x = j*x - 12. Determine h(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 4*v = 18, 11 + 3 = -4*y + 3*v. Let o be 20 - (y - -3)*(0 + -1). What is the highest common factor of 147 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (13\/65)\/((-16)\/10)*2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -21*h**4 + 24*h**3 + 27*h**2 - 24*h - 9. Let c(n) = 19*n**4 - 24*n**3 - 27*n**2 + 24*n + 10. Let w(m) = 3*c(m) + 2*l(m). Solve w(y) = 0.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26789771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*r + 1311258 = 271669. List the prime factors of r.\nAnswer: 28097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3\/117787339 or 0?\nAnswer: 3\/117787339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 less than -504537.37139?\nAnswer: -504536.87139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(325) - (sqrt(325) - (sqrt(325) + -3))))**2.\nAnswer: 10*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*r + 6*r + 8*r + 6*r - r - 3*r + (2*r + r - r)*(-1 + 3 - 4) + 0 + 2*r + 0 to the form z + f*r and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/4582 and -31\/1760184.\nAnswer: 139054536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 758395 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**3 + 27*q**2 - 49*q - 21. Calculate the least common multiple of p(25) and 409.\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 195138.15868 - 195333. Let d = -174.8405 - w. Let h = d + -20. Round h to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 594293559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fo when two letters picked without replacement from {o: 1, d: 2, u: 1, f: 7, g: 2, c: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the second derivative of -x**7\/70 + x**3\/3 + 3*x**2\/2 - 2*x. Let y(d) be the first derivative of o(d). What is the first derivative of y(a) wrt a?\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3558 or 0.63?\nAnswer: 3558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*w + 3*b - 173 = 0, 0 = -4*w + 4*b - 1098 + 1074 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -2*g**3 + 13*g**2 + 20*g - 110. Determine c(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = g**3 - 1520*g**2 - 44926*g - 41. Determine w(-29).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2\/101 (b) -1 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the third derivative of n**6\/60 + 59*n**5\/60 - 2371*n**3\/6 + 158*n**2. Differentiate x(o) wrt o.\nAnswer: 6*o**2 + 118*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 349643 is divided by 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 583 - -1483. Let a = -160 + -235. Let b = k - a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -506, -884, -1012, -764, -14?\nAnswer: 1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 - (4 + -2 - 3). Suppose 0 = 2*r + h*y, 4*y = -y - 10. Calculate the least common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w**3 + w**2 - 1. Let g(a) = -a**3 - 2*a**2 + 5*a - 4. Let q(s) = 3*g(s) - 6*p(s). Solve q(c) = 0 for c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5463274 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -3 - (0\/2 - 331)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -15*(20\/(-6) - 0). Suppose 5*k - c = r, 4*c = -k + 7 + 3. What is the least common multiple of k and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1811973 and 285?\nAnswer: 9059865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the second derivative of -v**3 + 22*v. Suppose 0 = -2*y + t - 11, -2*y - t - 8 + 7 = 0. Determine q(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -106743*o + 106726*o = 222 + 33 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -94 + 136. Suppose -6*g - 12 = -j. Solve k = -g*c + 2*c - 12, -2*c = k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -48.10539 rounded to 1 decimal place?\nAnswer: -48.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i + 4. Let g be (1 + -2 + 1)\/1. Let h be j(g). Solve h*m + 12 = -8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13039 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 1 + 5)*(2*m**2 - m**2 - 4 + m**2) in the form u*m**2 + p*m + w and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 6:54 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be (6\/5)\/(8\/(-20)). Let b(a) = -4 + 4*a**2 - 3*a + a**3 + 5*a + 1. Calculate b(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = 4*r - 2*p, -r + p = 2*p - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (50\/20)\/((-15)\/3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (1*sqrt(608))\/(-6*sqrt(2)*2).\nAnswer: -3 - sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5832 and 60?\nAnswer: 29160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -15 - 23. Suppose f - 133 = -o. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 103 - 821\/8. What is the closest to 1 in r, 0.2, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2*o**2 - 2*o + 4*o**2 - 5*o**2)*(13*o + 0*o + o + 1).\nAnswer: -42*o**3 - 31*o**2 - 44*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -2616*c + 99390. Calculate m(38).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000045777 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -282 divided by 24995?\nAnswer: -282\/24995","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 + 6*x**2 - 3*x + 8. Calculate the least common multiple of l(4) and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2\/5, 5, -8, 462, -148, -3\/2.\nAnswer: -148, -8, -3\/2, 2\/5, 4, 5, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-463 - 3)*(-18)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8532)\/5616*65)\/(15\/12)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -236*s - 8721. Let j be a(-37). Let o(y) be the third derivative of -y**6\/120 + 11*y**5\/60 + y**4\/12 - 8*y**3\/3 + y**2. Calculate o(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**2 + 10*j + 8. Let f be o(11). Which is bigger: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -o - 3*y = -59 + 49, 3*y + 90 = 24*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/16*(-34)\/(-17)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33 - 1380*d**2 - 1375*d**2 + 2747*d**2.\nAnswer: -8*d**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 23*w - 15. Let a(f) = -13*f + 8. Let y(r) = -7*a(r) - 4*p(r). Let u(h) = -9*h + 27. Let j(c) = -4*u(c) + 27*y(c). Let o(s) = -10*s. Give o(j(v)).\nAnswer: -90*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*u = -103*u - 11 + 11. Solve 11 = -m + 3*v, 2*m = -u*m + 5*v - 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 87553.65 litres in millilitres?\nAnswer: 87553650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify o*o**(-5)\/o*o**6\/o*((o**(1\/4)\/o)\/o)**7*((o**1)**(-46))**(-6\/7) assuming o is positive.\nAnswer: o**(761\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 6*j**2. Let r(y) = -54*y**2 + 22*y - 2. Let f(a) = -702*a**2 + 297*a - 27. Let t(b) = -2*f(b) + 27*r(b). Determine t(q(s)).\nAnswer: -1944*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 7*s + 22. Let l be m(-4). Let x be 1\/(-1) + l\/9*-6. Suppose x*y - 6*y = 3. Which is the nearest to -1? (a) y (b) -2\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 4 = -8*o. Suppose -f + o = -3*f - z, 3*z + 3 = -4*f. Suppose f*i - 120 = -6*i. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (16\/(-6) + 4)*6. Let k be (-1)\/8 + (-1)\/u. Let b = 1 - 0.9. Is b != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u*u\/u**(-2))\/u**(6\/7))\/(u*u**(2\/7)*u*u)**(2\/45)*u\/u**(-5)*(u\/(u\/(u**(1\/9)*u)*u))\/u*u*u*u**(-6)\/u*u*u**(-2)\/u assuming u is positive.\nAnswer: u**(664\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1 - (-3 - -2))*124\/496. Factor 2\/5*f**3 + 0 + 0*f**2 + u*f.\nAnswer: 2*f**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2713 + 2722. Solve 5*r = 4*r - 3*o + 3, -3*r = -4*o - b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {i: 1, w: 1, b: 9, s: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = 3*b + 6, 3*b = -2*a - 0*a - 6. Suppose a = -6*i + 10*i - 2*u - 1226, -u = 2*i - 619. List the prime factors of i.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + 48 - (-4 + (-45 - -45))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -112 + 313. Is -15 + 15 - (g - -2)*-1 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4994 + 9*z**3 - 4994 + z**2 - z**2.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -19 - -20. Suppose -5*o + 19 + x = 0. Suppose 0 = -4*t - t + 15. Solve -t*l = -5*u - 5, o*l - 2*u + 36 = -6*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 5, w: 7}. Give prob of sequence wxwx.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 5*g + 661375 = 0, 12*c - 4*g = 10*c - 440912. What is c rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4\/7 in -1\/6, -68\/145, -2?\nAnswer: -68\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -6373, -6380, -6387?\n\"Answer: -7*h - 6366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-20)\/8 - -2) + 3\/30. Which is the closest to 0? (a) 1\/6 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9668521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*q**2\/5 + 6022*q + 357982\/5 = 0 for q.\nAnswer: -71\/6, 2521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17655346?\nAnswer: 2, 113, 78121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l + 20. Let h be z(18). Suppose -h*q + 512 + 428 = 0. Round q to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -34377*s = -34378*s + 14 + 2 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = -3*v + 7*v. Let y be (-5)\/(-1) + -1 + 1. Let k = v + y. Let b(h) = h + 6. Give b(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 + 1.0144. What is g rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjjjjjdjjdjjjjjjjjj. Give prob of sequence ddj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wyw when three letters picked without replacement from ywwyywyy?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Do 1159385292 and 1159385292 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10020 + -10020. Solve t = 37*b - 32*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1219650 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2ac6c5 + -2?\nAnswer: -2ac6c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 32 - 73. Let r be (-2 + (-644)\/35)\/(2\/(-5)). Let x = v + r. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 321406 is divided by 364?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -3 - g + 2 + 0. Let b be i(-6). What is the second derivative of 2*k**b + 3*k - 3 + 4 - 1 wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.8 + -0.3. Let x be ((-8)\/(-18))\/((-2)\/(-642)). Let g = -144 + x. Put 4, g, f in decreasing order.\nAnswer: 4, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -42 - -54. Suppose -2*i + 32 = 4*g - 3*i, -3*i + h = 0. Solve 0 = 4*f - g - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -759*k**2. Let y(z) = -18*z**2 - 77*z**2 + 84*z**2. Determine f(y(i)).\nAnswer: -91839*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6147 + 6131 = -8*b. Let i = 0 - 3. Let m = 7 + i. Solve -2*r = -b*f + 4, -r - r = m*f - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 330968539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m**3 + 8*m**2 - 10*m + 93. Determine v(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 3*b**5 + 53685*b**4 - 430326*b**3 - 11705754*b**2 + 50312691*b + 735222501 = 0.\nAnswer: -17903, -9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -32, -5 in decreasing order.\nAnswer: 1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 4, 28, -2.\nAnswer: -4, -2, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = -509 - -946. Let l = -297 + o. Solve -98*i**3 + 29*i - 16 - l*i**2 + 53*i + 22*i = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-48)\/(-27))\/(540\/2430)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*r + 5*r = 3*u - 7, 1 = -u. Suppose 2*c - 3*b - 19 = -0, -b = -5*c + 67. Calculate the greatest common divisor of c and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3470 and 16419346.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 19956.71us to nanoseconds.\nAnswer: 19956710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 95 - 95.00001045. Round n to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -31, 46, 0 in descending order.\nAnswer: 46, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t + 23*t - 90 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 3 c when four letters picked without replacement from cduccmlcdc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 408 and 6014.\nAnswer: 1226856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.16 - 0.16. Let j = y - 1.1. Which is bigger: 5 or j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**3 - 6*k**2 - 3*k + 7. Let y = 277 + -282. Let a be g(y). Let q(z) = z + 4. Calculate q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**3 + 3*f**2 - 4*f + 4. Let o be i(-4). Let j = -1 + 3. Is j smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -5307*y + 96036. Calculate i(18).\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(-1)\/(-4) + (-5)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -117*c + 78*c + 38*c - 203*c**2 + 81*c + 5*c wrt c.\nAnswer: -406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 19 = b, 0*b + 2*w = -b - 16. Let a = b + 21. Let h(t) = t**2 + 2*t - 5. Let q be h(-4). Solve 0 = q*u + a - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 89575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -14325, -14331, -14335, -14337, -14337?\n\"Answer: n**2 - 9*n - 14317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 227942 is divided by 1702?\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 452 or 425?\nAnswer: 452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**5*(t*t**(-1\/2)*t)\/t)\/(t**(4\/5)\/t**(-5\/3)))\/(((t*t*t**(-7)*t)\/t*t*t**8)\/(t**(-1))**5) assuming t is positive.\nAnswer: t**(-179\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + (sqrt(128)*-6*-5 - (sqrt(128) - -4*sqrt(128) - sqrt(128) - sqrt(128))*6))*3)**2.\nAnswer: 6912*sqrt(2) + 166032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -88 - (-55 - -120 - 149)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 212122*p**3*x**2 - 11260*p**3 - 2*p**2*x**2 with respect to x.\nAnswer: 424244*p**3*x - 4*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -30*h**3 + 2 - 36*h**3 + 65*h**3 - 2*h in the form q*h + w*h**2 + k*h**3 + u and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 6 - 1 + (-4 + 5 + 0)*(0 + 0 + 1))*(2*y - 4*y - y) to d + u*y and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 111 - 46. Let l = z + -63. Suppose 2\/11*v**l + 2\/11*v - 4\/11 = 0. What is v?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-22 - -9 - -14) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - 8 - (-83 - -76)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 10 and -0.06239.\nAnswer: -0.6239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 37\/57, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/9677 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 79 and 9243.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 3 = 6. Let c = 6 + q. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 18\/(-30) + (-297)\/30 - (-1)\/2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = -f + 14, 4*o = 5*f + 6 - 0. Suppose -20 = -f*j - 2*y, -4*j + y + 22 = -4*y. Let s be 22\/j - -3*(-2)\/(-24). Solve -t + s = -1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**3 - 3*y**2 - 3*y + 1. Let l be f(4). Suppose 3*n + 66 = l*n. Suppose -3*m + n = -0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 33, 74, 117, 162, 209?\n\"Answer: n**2 + 38*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (20\/75)\/((-4)\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*c + c - 3*c)*(-53 + 40 - 32)*(1 + c - 1).\nAnswer: -90*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:11 AM and 1:21 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 21226960*d**3*n + d**3 + 128384*d - 14*n + 103 wrt n.\nAnswer: 21226960*d**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 3*v**3 - 9*v**2 - 5*v - 24. Let d be m(4). Solve 0 = -4*r - 4*i - 65 + 77, -d = 4*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -13 + 13. Suppose v*r = r. Suppose r = h - 4*h + 621. What is the greatest common factor of 23 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9 + 5*g + 9 + (3 - 3 - 2)*(-g - 2*g - 2*g))*(-4*g - 3*g + 0*g).\nAnswer: -105*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 + 110011001001000100?\nAnswer: 110011001001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 142\/(-355) - (26\/5)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + (2 - (-3 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -22a (base 13) to base 2.\nAnswer: -101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x = -18 - 636. Let n = x + -71. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*165696113.\nAnswer: -165696113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/9, -1, -0.4, -5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 + 0)*(n - 3*n - 3*n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/q**(-9\/2))\/q**(-2))**2\/(q**(-1\/4)\/(q\/(q\/(((q\/(q*q\/(q**(1\/3)*q)*q))\/q)\/q))*q)*((q*q**(-3\/5)*q)\/q)\/(q\/q**(-4))) assuming q is positive.\nAnswer: q**(1091\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1084347931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 66 and 2817?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 82 - -8. Let q = w + -89.99808. Round q to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8641615 - 8641615 + 13*p - 8*p + 14*p + 0*p.\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 + -3b3?\nAnswer: -3b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 4 = -0, 4*v + k = 534. Calculate the highest common factor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40431 is divided by 3113?\nAnswer: 3075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 4*j**2 + j + 63*j**2 - 24*j**2. Calculate the least common multiple of b(1) and 14.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*o**3 - 520*o - 515*o - 511*o - 511*o + 2057*o.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/96, -0.04, 0.2, 1\/2, -3.\nAnswer: -3, -0.04, 1\/96, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -29 - ((8 - (2 - -11)) + -2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59*r + 156*r + 115*r - 331*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -36\/5, 664, 2 in descending order.\nAnswer: 664, 2, -36\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 356.638597 rounded to zero dps?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 15 + -11. Let u = l - 3.99723. What is u rounded to 4 dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + 3*n + 2*n = 7, 5*c = 2*n + 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -7 + f + 18 - 6 + (3 - 4 - 1)*(0*f + 4*f - 2*f).\nAnswer: -3*f + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/900 and 61\/4180930.\nAnswer: 376283700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 75265.99ml to litres.\nAnswer: 75.26599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*o**2 - 2985255*o.\nAnswer: -3*o*(o + 995085)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5810 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2425372, 4850736, 7276100, 9701464, 12126828, 14552192?\nAnswer: 16977556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 476098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2542555969 to the power of 1\/2, to the nearest integer?\nAnswer: 50424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-666)\/(-1554)*147\/7*(34\/(-3))\/2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*t - 7143 + 2637. Let o = t - 999. List the prime factors of o.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -420*k + 1669. Calculate t(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 2064*c + 73. Suppose -19*w - 22 = -30*w. Is n(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2 and 73320.\nAnswer: 73320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -41 - -156. Suppose 3*x = 4*u + 49, -5*x - 35 = -5*u - o. Suppose -v + 6*v = x. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 75155.02 weeks?\nAnswer: 45453756096000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (-2800)\/(89 + -124)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 203 and 99592322.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 413.3 - 410.3. What is the nearest to 1 in 6, q, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-10)*n)**(3\/22) assuming n is positive.\nAnswer: n**(-27\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.14564 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11764 and 6698.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 2845046\nAnswer: 2\/1422523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3\/1808 (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - -28d4ea?\nAnswer: 28d4e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 11\/6 - 337\/186. Let z = x + -37\/279. What is the second smallest value in 1\/3, 0.5, z, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 48*y**2. Let q(o) = -o. Determine q(r(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 104746433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -10*x**2 - 4*x + 4. Let c(g) = -g**2 - g + 1. Let f(p) = -2*p**2 - 12*p + 6. Let v be f(-6). Calculate v*c(w) - t(w).\nAnswer: 4*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1409*n**5 + n**2 - 175*n**5 + 487*n - n**2 wrt n.\nAnswer: -31680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -9*h**3 - 10*h**2 - 107*h - 1. Let a(p) = -5*p**3 - 6*p**2 - 54*p - 1. Determine 5*a(b) - 3*n(b).\nAnswer: 2*b**3 + 51*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -128 + -2 - (65 + -42 + -52)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8003747 is divided by 2667865?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3818 - 3815. Let r(s) = -s**2 - s + 1. Let t(c) = -2*c**2 + c + 5. What is v*r(q) - t(q)?\nAnswer: -q**2 - 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7119983*n**4 - 2147*n**2 - 646 wrt n?\nAnswer: -170879592*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 170166901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -110313 (base 4) in base 5?\nAnswer: -20320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -4*d**3 + 3*d**2 + 4*d + 1. Let l be z(-5). Let b = 15 + -12. Suppose -b*r - r = -l. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h*(h\/h**(-1\/12))\/h*h)**6\/(h\/h**(2\/7))**2)**(-2\/27) assuming h is positive.\nAnswer: h**(-239\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4.9 - -5. Let j = 8.3 + -9. Let h = j - -1.7. Is h at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**3*d*d)\/(d*d**0))\/(d**(-1\/3)\/d*d)**(-4\/35) assuming d is positive.\nAnswer: d**(416\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 465, 932, 1399, 1866?\nAnswer: 2333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/(-15) + (-2)\/10. Suppose -2*x + y*x = -104. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (34\/(-24) - (-15)\/20)*(-426)\/(-3448754)*163.\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 112490\/(-16) + ((-7)\/(-35))\/((-96)\/180). Is 0.1 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -70.025 * 5.\nAnswer: -350.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**2 + r + 3. Let w be f(0). Suppose -4*y = -w*y. What is the lowest common multiple of 19 and 1 - 1 - (y + -11)?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (26*m - 3 - 31*m + 13*m)*(2*m - m**3 - 2*m) to o*m**3 + n*m**2 + p + r*m**4 + j*m and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 16423 - 16422.6. Which is the nearest to 4\/13? (a) -0.3 (b) k (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 3732311728 + 1.6876.\nAnswer: 3732311729.6876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8559186 is divided by 426.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -35 (base 6) to base 12\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = -4*w + 36, 2*g + 2*w = 5*g + 20. Let z = 6 + g. Solve -2*u + z*k = -4, 0*k + 7 = 2*u + k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 4 = -12. Suppose 11*r - w*r = 56. What is the lowest common multiple of (-18)\/(-4 + r + -6) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -20 by -43.\nAnswer: 20\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6759\/2201 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -5, 17, 2, -1, 44, 9 in descending order.\nAnswer: 44, 17, 9, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/675 in 3, -1\/6, 2, -34\/5, 0.1, 3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cccwww. What is prob of sequence cww?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d - 5. Let t be x(-5). Let k(n) be the second derivative of t + 2*n + 11\/2*n**2 - 5\/6*n**3. Let a(v) = 3*v - 7. Calculate -8*a(q) - 5*k(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 7*r**3 + 5*r**2 + 15*r + 10199. Let c(a) = -3*a**3 - 2*a**2 - 6*a - 5093. Give -5*c(u) - 2*g(u).\nAnswer: u**3 + 5067","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 12312 or 12198?\nAnswer: 12198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*o - 3*i + 8670 = 27*o, o - 4*i = 4313. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 647606159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1336)\/1169)\/(1\/(-7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52 = -2*q + 5*l, 5*q = 6*l - 3*l - 92. Let g be 567\/(-12)*q\/12. Let j(r) = -5*r. Let y(d) = 81*d. Calculate g*j(x) + 4*y(x).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -196.08 + 192.08. Put -10, 2, o, -15, 0 in ascending order.\nAnswer: -15, -10, o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - 5)*(-18)\/945?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -10*i**2 + 59*i + 10. Let t be r(6). Solve 0 = 2*m - 5*q + 27, 87*q - 29 = t*m + 82*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*45798568.\nAnswer: -228992840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -29*t**3 - t - 1. Let z be l(-1). Let a = 87 - z. Let s = 93 - 63. Calculate the remainder when a is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 15*h - 31 - 7*h + 13 - 29. What is the tens digit of k(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 5*a = -0*u - 5, -4*a = 5*u + 1. Let d(s) be the third derivative of 265*s**4\/24 + s**3\/3 - 3*s**2 - 8. Is d(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -3*x. Let g(t) = 4*t + 3. Let b(o) = -7*o - 6. Let j(l) = -8*l - 7. Let v(k) = -3*b(k) + 2*j(k). Let y(q) = 4*g(q) - 3*v(q). Calculate p(y(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 35 + -29 + 2 + (-22 - -5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t**3 + t**3 - 4*t**3 + (-t + 0*t - t)*(-t**2 + 2*t**2 + t**2) + (t**2 + 0*t**2 + 0*t**2)*(-13*t - 19*t + 6*t) - 4*t**3 + 3*t**3 + 4*t**3.\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the first derivative of a**3\/3 - 7*a + 1. Let t be g(3). Is (-1)\/(t*(-5)\/950) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 + -32 + -14 + 25.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.00711 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 18249250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.07914 - 3?\nAnswer: -3.07914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = 3*f - 31, -2*d + 4*f + 3 = -29. Let b(i) = 2*i**2 + 5*i + 4. What is the lowest common multiple of b(-4) and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0515112 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*i**3 - i**4 - 6*i - 1583*i**2 + 1580*i**2 + 2*i**4 + 2 + i**4 to the form l*i + g + s*i**2 + c*i**4 + y*i**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -47.2*3\nAnswer: -141.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1a9702 (base 11) in base 7?\nAnswer: 2502534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 9 (b) 5 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1503.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(1331) - (1 + sqrt(1331))) + -2 + -2)**2*4*2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**2 - 6*y + 3. Let j be c(5). Let n = 0 + j. Let h(o) = -2*o - 5*o**3 - o**2 + 4*o**3 - o**2 - o. Determine h(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/10 and 138\/45*-3 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/2)\/(((-1)\/(-2))\/((-621)\/69))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 23615 and 70845?\nAnswer: 70845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 12 + 83*t - 4 - 9 + 15 as a*t + g and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the first derivative of -5*o**6\/6 + 23*o**5 - 55*o**4\/2 - 1126. Determine s so that v(s) = 0.\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + (5 - (-2 - (4 + -13)) - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 313 + -143. Let m be (n\/(-5))\/(-1 + 0). What is the highest common divisor of m and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b + 37 = 1202*q - 606*q - 599*q, 5*q - 25 = 9*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1576 - -1581 - (3 + -2 + 0 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**2 - f - 6. Let m be j(0). Let n be m\/4*32\/(-12). Let x(c) be the first derivative of -c**2\/2 - 3*c + 1. Determine x(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 0 + 3 = 3*x, -5*i - 4*x = -3. Suppose b - 3 = 2*l - 1, -5*l - 11 = -b. What are the prime factors of i\/l*15\/(-10)*-182?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*c - 6*c + 64770 = 0. Suppose 2150 = i + n, 2*i = 2*n + 2*n + c. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1335*o - 11416 = 56669 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 230 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 219251*y**3 - 2193*y + 37?\nAnswer: 1315506*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -24292841\/2316597591 + 3\/527819. Calculate the common denominator of 73\/2793 and g.\nAnswer: 30723","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -175 = -7*u - 28. Let b be (-7)\/u*3*-3. Solve -3*n - 12 = -b*s, 0 = -3*s + n + 14 - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = o - 3. Let m(l) be the first derivative of 3*l**2\/2 - 10*l - 17. Let x be m(5). Solve -18 = o*q - 2*v, -5 + 30 = -q + x*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m - 3*m = 3*t - 1, -3*t - 19 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -89? (a) 4 (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0.11+1782008\nAnswer: 1782008.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3 + 3)\/(-1 - 0). Suppose -3*o + 28 = 5*z - u*z, -2*z + 4*o = -6. Solve 11 - 1 = z*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -72*l - 9*l - 6*l.\nAnswer: -87*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the third derivative of 53*x**8\/336 - 21*x**5\/20 - x**4\/24 + 676*x**3\/3 - 852*x**2 + x - 1. What is the second derivative of z(p) wrt p?\nAnswer: 1060*p**3 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -571 = -7*y + 1298. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -75 - 509*y + 255*y + 255*y + (9 - 7 + 0)*(-3 + 3 + y).\nAnswer: 3*y - 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9 - 9. Suppose h = -7*i - 17*i + 48. Solve i*x = -x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 140\/849 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = 521 - 363. Suppose r = 5*m - m + a, 4*m + 4 = 0. What is the least common multiple of 56 and r?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3\/(-9) - 382\/6. Let t = m - -127. What is the greatest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 2*n**2 - 5*n + 5. Let p = 12 + -9. Let g be p\/((-12)\/(-8)) - 7. Let i(a) = -2*a**2 + 6*a - 6. Let r = 659 + -665. Determine g*i(u) + r*h(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t**4 + 4*t**4 + t**4)*(1 + 0 - 3) + 5*t**2 - 5*t**2 + 10*t**4 + (0 - 10 + 2)*(-t**4 - t**4 + 0*t**4).\nAnswer: 22*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the first derivative of -27*g**7\/7 + 3*g**3 + 108. What is the third derivative of d(c) wrt c?\nAnswer: -3240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3302 times -60588\nAnswer: 200061576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2477 is divided by 548.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 - -100322?\nAnswer: 100324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j*j\/(j*j**(5\/3))*j)\/(j**(-16)\/j))**(2\/9) assuming j is positive.\nAnswer: j**(110\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y - 3. Let t(f) = -f**2 + 12*f - 15. Let k be t(11). Let z(c) = -c**3 + 9*c**2 + c - 12. Let q be z(9). Let r = q + k. Calculate w(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes before 12:28 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d = -4 + 28. Let 0*t**d - 8*t**3 + 11*t**2 - 56*t + 4*t**4 - 59*t**2 - 20 = 0. What is t?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 25*p - 26*p. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n + 7*n - 3*n + 2)*(4*n - 2*n + 0*n - 8*n**2).\nAnswer: -16*n**3 - 12*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-54 + 2*n - 35 + 18)*(-8*n - 4*n - n)*(0 + 0 + 5) to c + q*n + t*n**2 and give t.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -4, 0.4, 3\/7, -10, -0.06, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 39456 and 169632?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -109 + 178. Suppose 0*u + 5*x = -u + k, 4*x + 69 = u. What is the remainder when u is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5107 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -23436 by -3348.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -0.4 (b) -0.2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 60973?\nAnswer: 11, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -3, 10, 33, 66?\n\"Answer: 5*y**2 - 2*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13*0.14107.\nAnswer: 1.83391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 3*i + 147 = o, -2*i = -5*o + 143. Let b(v) = 2*v - 5. Let x be b(14). Let j = x + -13. Calculate the remainder when o is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) 76\/9 (c) -8\/7 (d) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q\/(q*q**(-1\/19))*q)*q)**19\/(q**(-1\/34)*q**(-35)) assuming q is positive.\nAnswer: q**(1803\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the first derivative of h**2\/2 - h + 2. Let c be i(5). Let v(j) = j**3 - j. Let m be v(0). Solve c*w + 1 + 3 = m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 + 1. Find x such that 3 - o*x - 2 + 5*x**2 - 4*x**2 + x = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/(-14) - 220\/(-14). Let k be (-3)\/(-4)*q\/(-2). Let h be k*((-62)\/(-20) - 3). Which is the second smallest value? (a) h (b) 0.05 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the second derivative of -4*a - 3\/2*a**2 + 0 + 2\/3*a**3 - 1\/12*a**4. Factor c(z).\nAnswer: -(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 + 8 + 8 + 7\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.23 + -54.77. Let o = p - -61. Let u = 0.1 + -0.2. What is the third biggest value in u, 0, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, q: 2, d: 1}. What is prob of sequence kk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 - 2. Suppose -1 = -3*c - 16. What is the units digit of (-85)\/c*2\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -3*d + 3207, 468*l = -5*d + 469*l + 5319. Solve d*q = 1063*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3 + 1119\/(-15))*-70. Suppose -3*v + f = 1001. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 311\/8 in 1\/5, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 - 18617?\nAnswer: -18618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes before 11:24 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2cd + 3?\nAnswer: 2d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1653790, -1653814, -1653838, -1653862, -1653886?\nAnswer: -1653910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 - -10) + 1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 11*h + 9. Let f(l) = -6*l - 4. Let w = -2518 + 2525. Calculate w*f(q) + 4*c(q).\nAnswer: 2*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**2 - 6*z + 6. Let g be k(5). Let o = g + 4. Suppose -27 = -b + o. What is the highest common divisor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -2*r - 10. Let j be 82\/(-10) - (-5)\/25. Let m be y(j). Suppose -m*v = v - 770. Calculate the remainder when v is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2963672 is divided by 740906?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t - m - 2 + 11, -3*t - 2*m = -6. Let k be (-4)\/(-6) + t\/(-6). Let l be -10*(0 - k - -1). What is l rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 510662747.\nAnswer: 7, 72951821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 1220220122210 (base 3) to base 13.\nAnswer: 29a129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -394 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 83313 (b) 1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 689 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2039297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 26 - 21. Let r = -2 + d. Suppose 3*p + 2*x - 350 = 0, -2*p = -4*p + r*x + 216. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g + 20 = -4. Let x(f) = 3 - 1 - 3. Suppose -42 = -9*o - 5*o. Let i(t) = -t + 1. Give g*x(b) + o*i(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 55 and 20155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**3 + 557*t**2 + 3232*t - 9269. Give i(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3500357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 13, z: 1, k: 3}. Give prob of picking 1 k, 1 r, and 1 z.\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.13 - -0.09. What is the nearest to -0.1 in q, 0, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -175 - 46. Let v = g - -237. Solve -v*q + 18*q - 6 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2, -1589, -5932, -14407, -28394, -49273, -78424?\n\"Answer: -230*f**3 + 4*f**2 + 7*f + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Two letters picked without replacement from {f: 2, a: 1, n: 1, b: 1, z: 2}. Give prob of sequence nz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((-88)\/55)\/(2\/5) - 19\/(-2)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16458800?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 180 - 181. Sort -7, 6, x.\nAnswer: -7, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/27, 1, -8\/9, -2\/83, 4 in ascending order.\nAnswer: -8\/9, -2\/83, 2\/27, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29 - 30 + 56836*j + 85.\nAnswer: 56836*j + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 14 - 15. Put v, -4, 0 in descending order.\nAnswer: 0, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2500*u - 86*u + 213*u**2 - 3*u**3 + 10404 - 1922*u + 428*u = 0. Calculate u.\nAnswer: 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -10 + 9 - 21*s + 19*s - 10*s**3. Let h(o) = 0*o + 0*o**2 + o**2 + o. Let p(l) = -h(l) - t(l). Determine p(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000515861 rounded to 6 dps?\nAnswer: 0.000516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 53\/4 of a hour in seconds?\nAnswer: 47700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-121)\/20 - -7) + 1\/(5 + -1)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/43, 2\/9, -3, -2\/23, -2\/3, 3, -9\/17?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 109 - 50. Suppose 0 = 56*n - h*n + 1287. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26812620 is divided by 764.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes before 2:14 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 65 - 64. Let h(t) = t + 1. Let a(d) = 6*d + 10. Give y*a(b) - 8*h(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((9 - 9)\/(-6))\/(-2). Suppose -2*n + 3*c + 35 = q, 4*n - 138 = -3*c - 59. Calculate the greatest common factor of n and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36649 is divided by 154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (12\/(-36))\/(5\/((-360)\/(-4)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that -z**3\/8 + 5*z**2\/2 = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor m - 23 - 11 + 14 - 4*m**3 + 20*m**2 + 3*m**3.\nAnswer: -(m - 20)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-800)\/(-104))\/(-10)*(-9)\/45.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 790603 to the power of 1\/2, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -5*v**2 + 2. Let z be a(2). What is the common denominator of (19\/(-1615))\/(711\/(-705) + 1) and z\/32 + 0 + 3?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the first derivative of -5*a**4\/4 + 2*a**3\/3 + 6. What is the third derivative of z(w) wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -35 + 0. Let g = f - -103\/3. Let x be (3 - 27\/15)*20\/18. What is the closest to g in 0, x, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the second derivative of -7*t**3\/6 + t. Let f(r) = r**2. What is f(h(q))?\nAnswer: 49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 47*x - 1252. Give i(26).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that -57*r**3\/7 + 100269*r**2\/7 - 110760*r\/7 + 10548\/7 = 0.\nAnswer: 2\/19, 1, 1758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1852034514 to the power of 1\/2, to the nearest integer?\nAnswer: 43035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -526 = -7*z + 188. Suppose -z = -2*f - 2*k, 5*k + 101 = -4*f + 308. Suppose 11 = n - f. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7294 divided by -14?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -2*u**3 + 5*u**2 + 9*u. Let s be 3\/6*2*-4. What are the prime factors of p(s)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, q: 2, w: 9, g: 7}. What is prob of picking 2 q?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3\/56740, 2\/9, -30\/181?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) 0.625 (c) -0.3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -918 + 924. Let l(d) = -d**3 + 6*d**2 - 3*d + 2. Determine l(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 591924 divided by -6.\nAnswer: -98654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 115076, 230502, 345928?\nAnswer: 461354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 5*x**2 - 877*x - 576. What is a(176)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-118)\/(-70) + -9 + 2808\/364. Which is the third smallest value? (a) 3\/7 (b) -5 (c) 1\/5 (d) -1\/3 (e) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 6 + 3)*(-5*v**2 + 2*v**2 + v**2) - 4*v**2 + 3*v**2 + 11*v**2 + (2*v + 4*v - 5*v)*(-3*v + 2*v + 2*v) - 2*v**2 + 5*v**2 - 4*v**2.\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - ((-525)\/75 + 0 + 46)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.4 and -19691?\nAnswer: -7876.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -376287249 - 3?\nAnswer: -376287252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (30\/(-25))\/6*4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-30)\/4)\/(-5 + 8 + 323\/(-102)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3850772 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s**3 + 3128*s**2 - 15702*s - 18828 = 0. What is s?\nAnswer: -1569, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 93 - (0 + -3) - (-6)\/2 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -18*c**2*q**2 + 86*c**2*r + 2*c*r - 406*q**2*r wrt c.\nAnswer: -36*q**2 + 172*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 106206.\nAnswer: 2, 3, 31, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-18)\/117 - 119\/(-13). Suppose -s = f + 7*k - 3*k, f = 4*k + 7. Let m(u) = -41*u**3 + u**2 - u - 2. List the prime factors of m(f).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5564.0774 - 5562. What is w rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1166, -4656, -10470, -18608, -29070?\n\"Answer: -1162*u**2 - 4*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/6*(-21)\/((-35)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 91*i**2*y**5 + 8*i**2*y**4 - 6*i**2*y - 15*i**2 + 4*y wrt y?\nAnswer: 1820*i**2*y**3 + 96*i**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 808*y - 1621. Calculate a(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 445 + -149. Suppose -2*s - u = -2136. What is s rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v - 0*v. Suppose v = 2*f + f - 240000. 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: List the prime factors of 9623850.\nAnswer: 2, 3, 5, 83, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.08 (b) -0.14 (c) 0.04 (d) 1\/4 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**3 - 14*p**2 - 13*p + 48. Let v be i(-13). Suppose 2*t + v = 5*u, -2*u + t = 3*u - 44. Which is the third biggest value? (a) 5 (b) 1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 171281038.\nAnswer: 2, 2837, 30187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 - 1 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 259.05189 rounded to one decimal place?\nAnswer: 259.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 45344857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = 81 + -134. Let o = 50 + c. Let r be (-1)\/o*(-4 - -13 - 3). Put -2\/5, -4, -2, r in ascending order.\nAnswer: -4, -2, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 40304*o**3 - 23340 wrt o?\nAnswer: 120912*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -10*s**3 - 5*s**2. Let y(p) = 5*p**3 + 3*p**2. Let t(j) = -3*w(j) - 7*y(j). What is the third derivative of t(f) wrt f?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*a + 952 = -0*a. Solve -5 = -4*u - 3*g - 9, -3*u = -4*g + a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 972 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -6534 - -27?\nAnswer: -6507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 639924*n + 93*n**2 - 639924*n - 110*n**2 - 5.\nAnswer: -17*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -535431 or -535432?\nAnswer: -535432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -2*o**3 + 14692*o**2 - 21883270*o - 21897964 = 0.\nAnswer: -1, 2078, 5269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 + -9. Let z be 5 - (m\/2 - -5). Suppose 0 = -z*r + 21 + 21. Calculate the lowest common multiple of r and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -4*b**3 + 3*b - 3. Let r(g) be the second derivative of 1\/4*g**5 - 51*g + 0*g**4 - 1\/3*g**3 + g**2 + 0. Determine -2*h(o) - 3*r(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Do 2 and -245 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 73, 150, 233, 322, 417?\n\"Answer: 3*i**2 + 68*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o**3 - 2*o**2 - 3*o**3 + 3*o**2)*(455*o - 455*o - 13*o**2) - 56*o**4 + 4*o**5 + 56*o**4.\nAnswer: 56*o**5 - 13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 + 60*k**2 + 457*k + 789. Determine x(67).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 16) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 4, l: 6, e: 3}. Give prob of picking 1 p and 3 l.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -2 (c) -4 (d) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**3\/5 + 282*l**2\/5 - 3892*l\/5 + 14112\/5.\nAnswer: -2*(l - 126)*(l - 8)*(l - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 9557 (base 12) to base 8.\nAnswer: 37723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3119926467 to the power of 1\/2, to the nearest integer?\nAnswer: 55856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2\/531 - -22843\/2655. Let f = -109\/15 + p. Solve j**3 - 4\/3*j - f*j**2 + 0 = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve v - 23 = -5*z, -3*v + 1 - 12 = -5*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (8\/10)\/(350\/(-125))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -3*o - 1. Let q be ((-7)\/(-4))\/((-3)\/36). Let v = q + 18. Determine t(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 130.41 + -129. Let c = 0.52 - a. Round c to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 213350 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1208593, -2417265, -3625937, -4834609, -6043281?\nAnswer: -7251953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 213*d - 1268341 - 422240. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4566*k - 7*k**2 + 2278*k + 2288*k.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*j - 9*j + 1056 = -4 + 4 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -29\/72 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -15, 4 in descending order.\nAnswer: 5, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8.7 - 8.7. Which is the nearest to g? (a) -3\/7 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -0.3, 0.09, -3\/5, -3\/35.\nAnswer: -4, -3\/5, -0.3, -3\/35, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 65066.9938 + -65050. Let r = s + -17. Round r to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7*p - 4*p**4 - 3 + 2 + 0 + 0*p**4 - p**3 - 54*p as f*p + t*p**3 + b + r*p**4 + m*p**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*b - 4*b + 148. List the prime factors of b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -48*w**3 + 431*w**2 + 13*w + 75. Calculate u(9).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1178099 + 1178101. Let j = -2.04 - -0.04. Let r = j - 0. What is the biggest value in 5, r, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*v**3 + 1175*v**2 - 918*v**2 - 189*v**2.\nAnswer: 2*v**3 + 68*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(170) - (-3*sqrt(170)*-2 + sqrt(170)))\/(5*sqrt(250)))**2.\nAnswer: 612\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 130103 (base 4) to base 7\nAnswer: 5165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 0.9894562 centuries?\nAnswer: 98.94562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -18, 2\/7, -5, -1 in descending order.\nAnswer: 2\/7, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**3 - 3*j**2 + 3. Let f = -5 + 8. Suppose -2*c - f*c = -5*t - 15, -4*c + t = -12. Suppose -6 = 3*m + 3*k, -4*k + k = -c. Give p(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -877886, -877939, -877992, -878045, -878098, -878151?\n\"Answer: -53*c - 877833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 - 5. Suppose 0 = t*l - 7*l + 10. Suppose 0 = -2*x - l*j - 37, -3*x - j - 34 = -11. Let i(o) = 7*o + 8. Let c(q) = -q - 1. What is x*c(k) - i(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 149 - 131. Sort -4, i, 5.\nAnswer: -4, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + -2 + 6 + -3 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1831\/198 + -1\/396. What is the common denominator of p and 6\/96*-166 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 0 - t**2 + 24*t - 24*t - 2. Let c(u) = -1. Let b(w) = 2*c(w) - k(w). List the prime factors of b(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(1008) - sqrt(63))*2)\/sqrt(9))**2 + (3*(-1*sqrt(7) - sqrt(7)) - sqrt(70)\/sqrt(40)).\nAnswer: -13*sqrt(7)\/2 + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (1\/(2\/2))\/((-6)\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the second derivative of -1\/40*b**6 + 3\/80*b**5 + 0*b**3 + 0*b**2 + 1\/16*b**4 - 1\/56*b**7 - 3*b + 0. Let s(d) = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + w = -5*i - 11, -4*i - 12 = 2*w. Suppose 27 = -3*u + 3*r, 10*r = -3*u + 5*r + 13. Put u, 0, i in increasing order.\nAnswer: i, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6240 = 4*m - 4*j - 2668, 5*j = -5*m + 11095. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(84)\/(sqrt(1452)*-1))**2 - ((sqrt(28)\/sqrt(4) - sqrt(7)) + -5 - (sqrt(84)\/(sqrt(12)*-1))**2).\nAnswer: 1459\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in -969, -2, 56?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6721 + 6718. What is the closest to 2 in -0.4, c, 7\/17?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 3*d = -g - 2, 0 = -3*g + 2*d - 6. Let k = -225 + 240. Let h be (k\/(-6))\/(g\/4). Solve -5*l + 0*v + 8 = -3*v, -2*v = -h*l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -5*z, -14 - 7 = -2*y + 5*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 86 + -93. Let g be (-1)\/(-50)*((w - -15) + -10). Sort 2\/7, g, 1\/4 in decreasing order.\nAnswer: 2\/7, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 700 (base 8) to base 6\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.11 - 3264494740.\nAnswer: -3264494739.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor s**3 - 76*s**2 + 1444*s.\nAnswer: s*(s - 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 67*d**2 - 11*d + 5. Let k(x) = 368*x**2 - 60*x + 28. Calculate 28*h(a) - 5*k(a).\nAnswer: 36*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = -29 + 31. Suppose -p = 2*t - 10. Differentiate -17 + t - 5*a**2 + 11*a**2 wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of x**5\/20 + x**4 - 7*x**3\/3 - 11*x**2 + 3*x. Let l be b(-13). Let y(p) = -7 + 7 - p + 0*p - 13. Calculate y(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(34)\/(sqrt(32) + sqrt(2))*-5.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 179423 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 - -3.1. Let k = 4.05 + -4. Let b = 0.45 + k. What is the nearest to 0.1 in b, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fkmwkfwpwbpbpw. What is prob of picking 1 b, 1 m, and 2 w?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 39304, 182, 3 in decreasing order.\nAnswer: 39304, 182, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the third derivative of -w**6\/120 + w**5\/15 + w**4\/4 + w**2. What is the units digit of n(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 121136?\nAnswer: 2, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*n - 4*n + 2*n)*(-18*n + 2*n - n).\nAnswer: 153*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the second derivative of 4\/15*j**3 - 1\/210*j**7 - 3\/50*j**5 + 1\/15*j**4 + 0*j**2 + 0 + 36*j - 1\/30*j**6. Find r such that l(r) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 40764819 to the nearest integer?\nAnswer: 6385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Divide 10621380 by 193116.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -14605 or -14619?\nAnswer: -14619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-4)*f**(3\/8))**(11\/3)\/((f\/(f\/((f**(-1)*f*f*f)\/f)))\/(f**(1\/4)*f)*(f**3*f*f*f)\/f**(-4)) assuming f is positive.\nAnswer: f**(-553\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 23673428 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - 1030?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 - 2. What is the derivative of 1 + 0*j**y - j**2 + 0*j**2 wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-n**4 + 3*n**4 + n**4 + (2*n - 2*n**3 - 2*n)*(-n + 3*n + n))*(-17 + 17 - 7*n).\nAnswer: 21*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -28 divided by 31412870\nAnswer: -14\/15706435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 50388 and 1014.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-259948)\/(-234)*-12*-3.\nAnswer: 2, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hp when two letters picked without replacement from {e: 1, m: 5, l: 1, p: 3, h: 1, n: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.04 - -0.56. Let q = 2\/34279 + -34287\/137116. Sort v, q, 2.\nAnswer: q, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10402129.\nAnswer: 10402129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 234 = -349. List the prime factors of b.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-19404)\/(-7056)*70\/55?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**3)\/u*u**11*u)\/(u\/(u*u*u*(u\/(u*u\/u**10)*u)\/u*u*u*u))**(-6) assuming u is positive.\nAnswer: u**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6498191390429\/8280 + -784805722. Let b = o + -7\/1035. Calculate the common denominator of b and 121\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*b + 0*b + 0*b + (-b - 1 + 1)*(-4 - 1 + 4) + 9 - 4 - b + 0.\nAnswer: 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000000325 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 38 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11)\/(-11)*-2*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from vmdvvggvv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.09216 and 20.\nAnswer: -1.8432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*x - 2*x + 0*x + 4*x**2 + 1 - 5012*x**3 + 5*x**2 + 5002*x**3 to a*x**2 + w*x**3 + t*x + r and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 36506550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 29488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = -38 + 1. Let d = 40 + x. What is the closest to 1 in d, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v**2 - 203*v + 1374. Calculate b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Do -8074679 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = -2*p + 2*f, 33*p + 71*f = 75*f + 243 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 719.4824um to millimeters.\nAnswer: 0.7194824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -2912731 by -102.\nAnswer: 2912731\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z, 2*y - 36 - 54 = -5*z. What is the highest common divisor of y and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/32*(-6)\/(-2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l - x = -l + 7, -5*x = l + 11. Suppose -l*k + 4 = -2*k. Let z = -2 + 4. Is z greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 82 = 103*d - 101*d. What is the common denominator of d and -28\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1831, 3665, 5499, 7333, 9167, 11001?\nAnswer: 12835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -8*k**3 + 22*k**2 + 17*k - 140. Is s(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from oyygykggoyn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 24.78 + -1.78. Let u = p + -20. Put 0, -0.4, u in descending order.\nAnswer: u, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/7, 0, -1, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -92\/1125 (b) -1\/28 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.1 (b) 436 (c) 0 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2723674 and 253498.\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v and 2 c when four letters picked without replacement from {c: 2, v: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l. Let c(n) = -n - 309. Give y(c(b)).\nAnswer: b + 309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y - 9. Let h be n(-13). Let u(w) = 2*w**2 - 2*w + 1. Let k(t) be the first derivative of 2*t**3\/3 - 3*t**2\/2 + 2*t - 7. What is h*u(j) - 3*k(j)?\nAnswer: 2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 364672243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 - 24 = -5*c, 3*t = 4*c - 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -14 + (-3 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + s = 0. Suppose -m = 2*l + 4, 5*m = 50*l - 49*l + 35. Sort s, m, -4 in decreasing order.\nAnswer: m, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 176 = 33*z + 12*z - 4. Calculate the remainder when 81 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(3\/4)*x)**(-44)\/(x**2*x*((x*x*x**(-2\/23))\/x)\/x) assuming x is positive.\nAnswer: x**(-1838\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i. Let j be ((-315)\/22 - 12\/66)*-2. Suppose g = -x + 2, -4*x - 3*g + j = -6*g. Calculate the lowest common multiple of d(1) and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 - 265?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 8059359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -15 - -1 - (-10 - 1 - (-233 + 228))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.55 + -0.65. Which is the smallest value? (a) 4\/11 (b) 2\/11 (c) 0.5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11 and 146.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 3*y = 122. Let d = y + -57. Let m = 193\/3 - d. What is the smallest value in m, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be -64*(-1)\/(-17) - -4. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 + -2453335?\nAnswer: -2453332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 25 - 21. Let b(u) = u**2 - 7*u + 6. What is b(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12.6*0.241.\nAnswer: -3.0366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 3*s**2 + 3*s. Let c(l) = l**3 + 2*l**2 - l. Let p be c(1). Let u be 1 - (p + 3\/3). Calculate t(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6.596 - -0.104. Let r = -22831141 + 22831134.2999951. Let p = r + o. What is p rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 7*d + 3. Determine z(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**3 + 8*f**2 - 43*f + 5. Let i(n) = n**3 - 13*n**2 + 64*n - 7. Give -5*i(d) - 7*s(d).\nAnswer: 2*d**3 + 9*d**2 - 19*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -173907 divided by 27.\nAnswer: -6441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2208*n = -2*c + 2203*n - 40, c - 25 = 5*n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a + 320 = 5*v - 3*a, 256 = 4*v - 3*a. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 335 divided by -67\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 - 14958923?\nAnswer: -1495891a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is m in -2*m**2 - 1830*m - 1828 = 0?\nAnswer: -914, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 5*l - 75 = 0, 2802*n = 2805*n - 5*l + 53. Suppose -17 = 3*k + 31. Is n < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 14212256 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.01 - -4.99. Let d = -3 - -3.2. Let l = -307\/50 + 2249\/350. What is the fourth biggest value in m, 1\/3, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 15567839.7 hours?\nAnswer: 92665.7125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2201789, -1, 1\/2.\nAnswer: -2201789, -1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 286 + -238. Sort -0.3, z, 1\/3, 0.5 in ascending order.\nAnswer: -0.3, 1\/3, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -3\/5, -2, -2\/19, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 461697 + -154246. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/6)\/(28644\/1953)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 619, 2444, 5495, 9778, 15299?\n\"Answer: w**3 + 607*w**2 - 3*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -184 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.6235 + 1.4235. What is the biggest value in 378, p, -2?\nAnswer: 378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 3847961, 3847962, 3847963?\n\"Answer: p + 3847960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2815*t**2 - 1149*t**2 - 1156*t**2 to n + u*t + g*t**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 2*m - 1 = -4, -2*m = 6. Let y(h) = -h**2 + h. Let n be y(2). Let x be (n - -2) + 4\/8. Which is the closest to x? (a) -0.2 (b) 3\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 6*s = 9*s, -5*r = -4*s + 5. Let z(x) = -x**2 - 5*x - 1. Let f be z(-6). Let v = f - -9. Solve r*o - 4*y + 3 = -1, -v*o - 5*y - 18 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f**3 + f**2 - 2*f + 2. What is p(3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5862618 is divided by 1172522?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, z: 7, c: 7}. What is prob of sequence cscc?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4 + 0 - 2)*(-2 - 1 + 1) + 2 + 1 + 4 - 6 + 3 - 3)*(0*d - 5*d + 3*d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -73*k + 306 = -40*k - 24*k for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/21 - (-2)\/7. Suppose r*l = l - 2. Solve -l*x - 3*u = 2*u - 15, 0 = 4*x - 5*u + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 713 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 96858 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve b = -3*u + 8*u + 17, 4*b = -3*u - 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (351\/(-18))\/((-171)\/(-60) + -3). Suppose b = 863*v - 858*v. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 6 + 10 = 0. Suppose -y*a + 76 = 4*d, -a = 3*d + 2*d - 3. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -89*c**2. Let v(m) = 2*m - 3. Let b(w) = -3*w + 5. Let h(o) = 3*b(o) + 5*v(o). What is d(h(x))?\nAnswer: -89*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 106175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 2 = -6. Suppose 0 + 4 = i*o. Calculate the greatest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20693316 to the power of 1\/2, to the nearest integer?\nAnswer: 4549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38 is divided by (10\/(-6))\/((-4)\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 121, 2, 288 in decreasing order.\nAnswer: 288, 121, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 17 + (-43 + 6 - 8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 + -1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1406, 2297, 3792, 5885, 8570?\nAnswer: 11841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 225.518 + -0.518. Let w = -224.9 + p. Let o = -10 + 10.3. Which is the second smallest value? (a) w (b) o (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*x + 96 = 34*x + 8*f, 5*x - 4368*f = -4369*f + 30 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:20 PM and 1:37 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 26.97603194 + 274.02397019. Let q = s - 301. Round q to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-7)*-4*59\/7788*-42?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0010657111 to 5 dps.\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -42 + 61. Calculate the remainder when 265 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 11100001101011101111 (base 2) to base 10\nAnswer: 924399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/21 (c) -18\/5 (d) -3 (e) 13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (-3)\/15)*(-510)\/(-153) - 33?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 10, g: 2, z: 2}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-40)\/18 + (-8)\/(-36). Let g be 3 + 18\/i*-1. Factor 6*u - 24*u**3 - 11*u**4 - 2*u - g*u**5 - 21*u**4.\nAnswer: -4*u*(u + 1)**3*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 1 + 4 - z - 11 + 2. Determine p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(2299) + sqrt(2299))*-3)**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 56725, 56727, 56729?\nAnswer: 56731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 25946*f + 207485. Calculate g(-8).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00001129 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the first derivative of g**6\/4 - 18*g**5\/5 + 18*g**4 - 32*g**3 + 274. Find q, given that s(q) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7590*n - 3*n**2 - 7590*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 18293\/6 - 3046. Let a(r) be the second derivative of -r + 0*r**4 + 0 - b*r**3 + 7\/20*r**5 + 0*r**2. Find the second derivative of a(n) wrt n.\nAnswer: 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(168)\/(5*sqrt(24)))\/(sqrt(4) + 1*sqrt(324) + -3*sqrt(64)))**2.\nAnswer: 7\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -159? (a) 3\/4 (b) -0.08 (c) -158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the third derivative of d**5\/30 + 7*d**4\/3 - 259*d**3\/6 - 3*d**2 - 54*d. Differentiate i(c) wrt c.\nAnswer: 4*c + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4.2 - 4. Let j = 12.3 - 1.3. Let h = j - 15. Which is the third smallest value? (a) h (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1856239542 to the power of 1\/3, to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2 - 4*h + 3. Let d be l(-4). Suppose -6*c = -d*c. Suppose -7 = -i - c. Solve -5*j - 10 = -i*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 5*h**2 + 0*h**2 - 27 - 3*h**2 + 27. Let x(o) = -6*o. Calculate x(t(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 15 + -16. What is the smallest value in 1, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -q - 5*z + 26 = 3, 2*z - 23 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 396*v**2 - 1521*v**2 - 1994*v**2 - 748*v**2. Let t(i) = i. Give p(t(a)).\nAnswer: -3867*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 1\/3 (b) -230 (c) -1 (d) -0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 2*a**3 - 17*a**2 - 7*a + 26. Give u(8).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-705266)\/(-103008) + (-150)\/90. Let y = -8\/1073 - d. Calculate the common denominator of y and ((-66)\/52)\/((-6)\/(-10)).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 176415*v + 26917*v + 17 - 17. Let i be t(-1). Let r = i + 408332. What is r rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 114*k - 566*k - 352*k = -34*k - 38500 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 5\/562 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -48 divided by -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 3 + 1)*(-11817*o**2 - 7162*o**2 + 5075*o**2).\nAnswer: 13904*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 316, 1320, 2994, 5338, 8352?\nAnswer: 12036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4371*r**3 + 17470*r**3 - 4372*r**3 - 4378*r**3 - 4378*r**3.\nAnswer: -29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -11070262223 less than -5?\nAnswer: 11070262218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 1 (c) 307\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 54 and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 195581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1229926, 1229960, 1229994?\n\"Answer: 34*x + 1229892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 7 - 1.68\nAnswer: 5.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r*r*r**(-2)\/r*r))\/r**(-3))\/(r**0)**8 assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 32766 - 1703891\/52. Find the common denominator of z and 2 - 21\/12 - (5456\/(-132) - -36).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-72)\/(-6)*24\/(-32).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 2.88449319 to two decimal places.\nAnswer: 2.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - p + 34 = 0, -4*o = p + 4*p + 39. Is -270\/23 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-3)*(-29)\/(-29)*-3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be -7 - (0 - 2\/1). Let s = 6 + l. What is the derivative of s + 0 + 0*q**4 + 0*q**4 + 2*q**4 wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2921 - -2930. Calculate the remainder when 2668 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-60)\/(-66)*1694\/924?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/(-224))\/(210\/(-245)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1506 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22 - (-37 + 13 + 22 - -18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is ((-4)\/1 - -4) + 749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 105 and 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1321751, -1321735, -1321719, -1321703, -1321687?\nAnswer: -1321671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 261 - 260. Are s and 15\/122 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -129098894*d**2 - 103476814*d wrt d?\nAnswer: -258197788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**3 - 15*o**2 - 17*o + 20. Let p be j(16). Let s be p\/(-22) + (-3669)\/(-33). Let q = s + -51. Calculate the remainder when q is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5170901 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 787312038?\nAnswer: 2, 3, 509, 257797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 - -157c953a?\nAnswer: 157c9538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = 5*r - 4*v + 6, 1 = -r + 4*v. Let c be 3\/5 - 537\/r. Let z = 12 + 0. What is the greatest common divisor of z and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -2*f**2 + 22*f + 17. What is q(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes after 9:21 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 + 2. Let m = 40 + -37. Solve -3*v - 4*y = 7, 5*v + m*y = -19 - u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2017.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes after 7:37 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 57229501 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-6\/5))**(-13)*(f**(1\/15)*f)\/(f**16*f) assuming f is positive.\nAnswer: f**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -10*y**5 - 7*y**4 - 150*y**3 + 6*y**2 - 3*y - 31.\nAnswer: -600*y**2 - 168*y - 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -2886, -2964, -3042, -3120, -3198?\n\"Answer: -78*z - 2808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 0*k + 0*k - 711*k**2 + 941*k**2 in the form p + j*k + c*k**2 and give c.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (47 - -44 - 62) + 13 + 16.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-1\/27)\/(z**12\/z))\/(z**(-12)*z**(-11)) assuming z is positive.\nAnswer: z**(323\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l**2 + 10*l - 15. Let a be i(-11). Let m(r) = -2*r**2 - 15 - 11*r**2 + 19*r**2 - 3 - 4*r. Does 21 divide m(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18*(-1)\/6*(-4)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 13400 and 16030420.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 228*c - 10*c**2 - 108*c - 120*c.\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 113.7753us in days?\nAnswer: 0.00000000131684375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-8)\/16 + 7\/2 + -3. Suppose u*q - q = -5. Suppose -1\/2 + w**3 - 1\/2*w**q - 1\/2*w**4 - 1\/2*w + w**2 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -51*-448877\nAnswer: 22892727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -11 (b) 2\/21 (c) 4 (d) -0.5 (e) -5896 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is one eighteenth of a week in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y**3\/19 - 36*y**2\/19 + 80*y\/19 = 0. What is y?\nAnswer: -20, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**2 + 6*a - 4. Let i(q) = -7*q + 9. Let f(o) = -6*o + 8. Let j(w) = -6*f(w) + 5*i(w). Let y be j(0). Let r be y\/9*(-1 - 11). Give b(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -0.9 (b) -1 (c) -1\/6444 (d) 6 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 783 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 9435529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 28 and 404.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1169870063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let b = -40 + 82. Let o = b - 27. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h + 8 + 1 = 0, 2*h - 14 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30)\/(sqrt(6) + (sqrt(180)\/sqrt(3))\/sqrt(10)) + (sqrt(50)\/sqrt(2))\/sqrt(5) + sqrt(5) + -1 + -5)**2 + (-2*(-3*-2*sqrt(5) - (sqrt(5) + -2)*-4))**2.\nAnswer: -670*sqrt(5) + 9293\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 36*t**2 - 30*t - 407. Is h(28) a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-14)\/273)\/((-2)\/9).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the third derivative of -3*p**4\/4 + 21*p**3\/2 + 21*p**2 - 3. Does 18 divide f(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*f**4*v + 350053*f**3*m - 1595*f*m*v - 416*f*m wrt f?\nAnswer: 48*f**2*v + 2100318*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k\/(k**(-1\/9)*k)*k*k))\/(k\/(k**(-1)*k)*k)*(k**1\/k*k)**(-8\/7))\/(k**(2\/25)*k\/k**(-1\/3)*(k**2*k)\/(k*(k\/k**(3\/5))\/k*k*k)) assuming k is positive.\nAnswer: k**(-9871\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 83.762 * 4.5.\nAnswer: 376.929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2 - 11123001?\nAnswer: -11122333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k + 8 = -x - 0, -3*k - 12 = 3*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (60\/18 - 3)*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10529*p + 676065 = 3343*p - 3215*p for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the second derivative of 1\/2*u**3 - 3*u**2 + 17\/5*u**6 + 0 + 9\/14*u**7 + 4*u + 69\/10*u**5 + 6*u**4. Suppose h(g) = 0. Calculate g.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor w**4\/6 + 106*w**3 - 213*w**2\/2 - 637*w\/3.\nAnswer: w*(w - 2)*(w + 1)*(w + 637)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 4*o**2 + o - 1. Let l be z(1). Suppose -3*y - l = -5*m, -m - 4*y - 3 = -13. Solve -m*v - 3*v - 25 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the second derivative of -2*x**3 - 11*x**2 + 2*x - 38. Determine a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(-1\/7))\/(z*z**(3\/5)\/z)*((z**(-8)*z*z)\/z)\/(z*z**(-2\/3)) assuming z is positive.\nAnswer: z**(-743\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 8466 + 2669. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 1 l, and 1 d when three letters picked without replacement from mdjliyiyl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/21 - 592\/(-1295).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1 - 77)\/(217 + -219). Calculate the highest common divisor of s and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5475200 divided by -590.\nAnswer: 9280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:33 PM and 3:01 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 15837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes before 10:57 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -204 divided by 51.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3)\/12 - (-3)\/(-4). Let t be (-3137)\/(-15) - (-1 - -1). Let x = 209 - t. Which is greater: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20377?\nAnswer: 7, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/l**3)\/(l\/(l**(-7)*l)*l))\/((l**7\/l)\/(l*l**(-2)*l*l*l*l)) assuming l is positive.\nAnswer: l**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mummuummmmummmmuuum.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 11772354 + -5?\nAnswer: 1177234a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that o**2 + 8*o**2 + 43*o**2 + 8 - 32*o - 2*o**2 - 2*o**5 + 14*o**4 - 38*o**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/(-6)*(2 + 4). Suppose 0*r = -m*r + 36. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1865636535 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -b**3\/6 - 17953*b**2\/3 - 227204*b - 1434720 = 0.\nAnswer: -35868, -30, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m - 3*f + 2, 0 = 3*m - 4*f - 2 - 5. Let n(s) = -95*s + 1 + 102*s - m. Let o(r) be the first derivative of 2*r**3\/3 + 2. Calculate o(n(b)).\nAnswer: 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1 + -3)\/((-45)\/5). Let f = -5.8 + -2.7. Let a = 8 + f. What is the smallest value in b, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**3 - 7*j**2 + 9*j + 9. Let s be o(5). Solve -i + 10 = -5*v + s*i, v = -5*i + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -20*i*j**2 - 523*i*j - i - 19178*j**2 wrt i?\nAnswer: -20*j**2 - 523*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**3 + 6*b**2 + 4*b - 1. Let z be p(-5). Suppose a = -1, 0 = -4*v - 3*a + z + 1. Suppose -v*i - 64 = -4*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1003.61 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 609 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -9*b - 17. Let i(n) be the third derivative of -n**4\/8 - n**3 + n**2. Let v(p) = -6*h(p) + 17*i(p). Let g(j) = j + 13 - 13 + 0*j. Determine v(g(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m + 4. Is 32 + (1 - (1 - m)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -k**5 + 24*k**4 - 133*k**3 + 66*k**2 + 224*k = 0.\nAnswer: -1, 0, 2, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**2 + 3*w. Suppose 5*n + 4 + 2 = -4*b, -2*b - 6 = 4*n. Let j be b - -8*(-3)\/6. Let z be r(j). Does z = -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in x**4\/3 + 180566*x**3\/3 + 49324932*x**2 + 40503952456*x\/3 + 3697482189056\/3 = 0?\nAnswer: -179744, -274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -112120012 (base 3) in base 11?\nAnswer: -7a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1\/3, 4, 1\/6, 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6232 is divided by 441?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 134*t*v**4 - t*v**3 + 19*t*v**2 - t + v**2 wrt v?\nAnswer: 3216*t*v - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 269342378?\nAnswer: 2, 967, 139267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**3 - 13*b**2 - 50*b - 60. Determine m(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qllnqdlllninll. What is prob of sequence dn?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) be the second derivative of -111*r**5\/10 - 37*r**4\/12 - 29*r**2\/2 + 8*r - 43. What is the third derivative of c(b) wrt b?\nAnswer: -1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.87 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 8739.567 centimeters in meters?\nAnswer: 87.39567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t - 161 - 331. Suppose 0*w + 54*w - 367 - 497 = 0. What is the remainder when t is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 - 5. Let k(j) = -2 + j - 2*j**b + 2. Let a(n) be the first derivative of -n**4\/4 + 7*n**3\/3 - 2*n**2 + n + 532. Determine -2*a(g) - 7*k(g).\nAnswer: 2*g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-258)\/(-1376)*2*-1*(-18)\/27\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 28, -149, 113\/8, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 23.3 less than -0.4?\nAnswer: -23.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**2. Let p(f) = -127714*f**2. Determine p(n(y)).\nAnswer: -127714*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 12 = 2*r + 3, 0 = -i - r - 8. Let v be (-1824)\/880 + (-4)\/i. Which is greater: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 0*t = 5*u + 202, 5*t - 5 = 0. Calculate the remainder when 1 + 1\/4 + (-1350)\/u is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/7, 7, -2\/5, -8, -2\/19 in increasing order.\nAnswer: -8, -2\/5, -2\/19, 1\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -163 (base 16) to base 8\nAnswer: -543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -372*k - 5436. Let x be w(-71). What is the highest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -4740551158 and -2.4116.\nAnswer: -4740551160.4116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/171028 and 5\/36608.\nAnswer: 10945792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -2\/9 (c) -1569 (d) -385 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 113725, 227592, 341447, 455284, 569097, 682880?\n\"Answer: -g**3 + 113874*g - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3.818 - -0.018. Let n = u - -3.954. Let i = n + -0.39. Round i to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 - 3)*((-4*n + 2*n + 3*n)*(-5 - 6 + 0) + n - 2*n - n).\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*q + 2 - 2 + 2*q.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 + 32 = -5*k, -w = 2*k - 22. Let i(l) = 3*l - w - 2*l + 33. Let s(r) = -2*r - 2. Give -3*i(n) - s(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*s + 13*s**3 - 7*s**3 - 7*s**3 - 2*s**2)*(2 - 5 + 4).\nAnswer: -s**3 - 2*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -52, -43, -36, -31, -28, -27, -28?\n\"Answer: -k**2 + 12*k - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1855 - 5503\/3. Let c = -22 + h. Put -0.4, c, 0.1, -0.3 in decreasing order.\nAnswer: 0.1, -0.3, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hb when two letters picked without replacement from {r: 1, h: 1, n: 1, w: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-x + 3*x + x)*(-2 + 1 + 0) + 66*x + 38*x - 80*x.\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5564829 + 2?\nAnswer: -5564827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -25 - -23.87. Let l = h + 2.94. Round l to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 12, d: 7}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = -794 - -810. Sort 43, x, -5 in ascending order.\nAnswer: -5, x, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -12*v**2 - 86*v + 917. Calculate b(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -4*t + 5. Suppose k - x = 2*x + 7, 73 = 4*k + t*x. What is the greatest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.1 - 0. Let f = 1\/389 + 385\/1556. Let r = 3.5 - -0.5. Which is the closest to z? (a) -0.4 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*g**2 + 1767*g**3 + 5*g**2 - 5 + 1567*g**3.\nAnswer: 3334*g**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -2\/15, -2, 0.08, -26\/15?\nAnswer: -26\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = 25 - 5. Let l = -7 + y. Calculate the remainder when 34 is divided by l\/12 + 49\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j**2 - 89779390*j + 403016943438605 = 0 for j.\nAnswer: 8977939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 7, l: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be -16*(-3)\/6*-1. Let g be (0 - 0)*r\/(-10 - -2). Put -3, g, 23, 3 in descending order.\nAnswer: 23, 3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 25579*l**2*t**3 - 153*l**2*t + 40*l**2 - l*t**2 wrt t?\nAnswer: 153474*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 125*f**3 - 264*f**3 + 136*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13131, 54056, 122787, 219324, 343667, 495816?\nAnswer: 675771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -114212 (base 5) to base 12.\nAnswer: -25ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2476 - 2455 - 2*w - 126*w**3 + 4931 - 186*w**3.\nAnswer: -312*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -7*h + 2. Let l = 45 - 33. What is the remainder when k(-3) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z such that z**4\/6 + 1015*z**3\/6 - 18326*z**2\/3 + 51418*z\/3 - 11200 = 0.\nAnswer: -1050, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 3*f**2. Let o(y) = -8313*y**2 + 3728*y**2 + 4064*y**2. What is c(o(k))?\nAnswer: 814323*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**3 + 4*l**2 - 3*l - 2. Let a(v) = -7*v - 12. Let w(o) = o. Let t(d) = a(d) + 5*w(d). Let z be t(-4). Calculate c(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -5*l - 28. Let a(u) = -2*u**3 + 12*u**2 + 16*u + 4. Let n be a(7). Suppose -7*c + n = -10*c. What is the smallest common multiple of b(c) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + -9 - 49\/(-7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**3 + r**2 + 4*r - 14. What is c(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add together -10 and -19753558.\nAnswer: -19753568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -17.6 - 78.4. Put 2, 0.1, b in increasing order.\nAnswer: b, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1035 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 414 and 943.\nAnswer: 16974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 97405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1\/16 of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3 - 6 - -1 - -2. Suppose -5*n + 1111 + 244 = k. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*-4*(4 + 1 + 3 + 3 + sqrt(1700) + -4 + sqrt(1700) + 2))**2.\nAnswer: 51840*sqrt(17) + 990864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 50 = -1. What is the highest common divisor of t and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2597 + -2594. Let h(t) be the first derivative of -1 + 0*t**4 + 0*t**m + 0*t - 8*t**2 - 3\/5*t**5. What is the second derivative of h(o) wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-5)*9\/(-27)*75?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 174 - 156. Calculate the remainder when o is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand o - 2*o**2 - o + (-o**2 + 0 + 0)*(3 + 3 - 5) - o**2 - 2 + 2 + (-1 - 3 + 2)*(30 - 30 - 13*o**2).\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**2 - 11*y. Let g be v(11). Let c(q) = q**2 + 4. Give c(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 48\/(-56) + (-6)\/(-21). Put -3, -4, l in decreasing order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, -3, 2, -4 in decreasing order.\nAnswer: 2, -3, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 249 = -0*r + 3*v, -5*r + 636 = 3*v. Let a(t) = t**3 - 3*t**2 - 44*t + 82. Let b be a(9). Calculate the greatest common divisor of b and r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -75, 0, 54, 5, -32 in descending order.\nAnswer: 54, 5, 1, 0, -32, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the first derivative of 0*n**2 + 4 + 1\/3*n**6 + 0*n**5 + 0*n + 0*n**4 - 1\/3*n**3. Find the third derivative of v(l) wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 35*n**2. Let i(g) = -4924*g. Give i(w(o)).\nAnswer: -172340*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of ((-4631)\/(-110)*6)\/(2\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 24 = -4*t, 0 = -3*t - c - 9 - 3. What is the closest to -1 in -4, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**3 - t**2 + 3*t + 168. What is the hundreds digit of h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 618 + -616. Suppose k - 5 - 3 = -q, a*k = q + 7. Sort 35, -5, -4, q.\nAnswer: -5, -4, q, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*1284.\nAnswer: 128.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2866068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1850, 1905, 1954, 1997?\nAnswer: 2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0.2+-0.191752917\nAnswer: 0.008247083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -2*y**3 - 914*y**2 - 4529*y - 4043. Give g(-452).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4065 a factor of 162270735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5 - -2 - -2)\/1. Let d be 12\/(-15) + 272\/40 + i. Let c(v) = -3*v**2 + 7*v + 1. Give c(d).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from segs. Give prob of sequence egss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-54)\/18)\/((-5)\/(30\/63))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*c**3 - 2547*c + 2545*c + 18*c**3.\nAnswer: 32*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, -29388, 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 23 + -13. Let s be ((-5)\/i)\/(3\/(-30)). Solve -5*v + 5*l - s = 0, 4*l = -v - v + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2883 is divided by 303?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -26 - -21 - (-12 + -4 + 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 7137 + -4?\nAnswer: 7133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 13764 and 72372.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-1\/4)*a**(-1\/2)*((a**6*a)\/a)\/(a*a**(1\/7)) assuming a is positive.\nAnswer: a**(115\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 2, -1\/3, -4, 0.74, -0.4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -18579, -18790, -19001, -19212?\n\"Answer: -211*p - 18368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4459162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -85.09997 * 0.03\nAnswer: -2.5529991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 575647 (base 8) to base 15.\nAnswer: 3cdd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (18 + 111 + 114)*((-m + 0*m + 2*m)*(-2*m**3 + 2*m**2 - 2*m**2) - 2*m**3 - m**4 + 2*m**3).\nAnswer: -729*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 9201198700 to the nearest one million.\nAnswer: 9201000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 670460 to the power of 1\/2, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16\/740*(-90)\/(-72).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gmzzriv. What is prob of picking 1 g, 1 m, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7 - -10. Let k be -11 - -9 - 3\/(1 + 0). Let l = -7\/2 - -33\/10. Which is the third smallest value? (a) x (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 884 + -882. Let h = -6.03 + 0.03. Let g = h + 7. What is the third biggest value in y, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -4*w + 1, -m - 2 = 3. Let c(k) be the third derivative of 1\/6*k**w + 0 + k**2 + 0*k - 1\/6*k**3 - 1\/60*k**5. Calculate c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, 4\/7, -0.15, -1.3, 2\/7, 2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 36041105 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c + 0*p + 8*p + 29 = 4*p, 286 = -42*c + 4*p for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in thirty-two fifths of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 16 - 12. Let j = -3.9 + u. Let q be (6\/5)\/(3\/20). What is the third smallest value in q, j, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12 - 8. Suppose 7*s - 3 = i*s, -s - 4 = n. Let r = 0 + n. Let q(u) = u**2 - 8*u - 8. Let g(z) = z**2 - 5*z - 5. Calculate r*q(h) + 8*g(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2757.\nAnswer: 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -154374.13 + -141.47. Let z = x - -154523.600028. Let w = z + -8. Round w to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 2*i + 8 + 10, -4*h + 17 = -3*i. Let v = -0.1 - 0.9. Which is the closest to v? (a) 0.2 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**3 - 2*r**2 + 5*r - 5. Let l(b) = -b**3 + 9*b**2 - 10*b + 11. Let x = 17 - 9. Let y be l(x). What are the prime factors of p(y)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10044 + -10043. Solve 5*s + 4*l + d = -17, s + l + 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the third derivative of -5*j**2 + 0 + 0*j - 1\/12*j**4 + 0*j**5 + 0*j**3 + 0*j**6 - 1\/105*j**7. Find the second derivative of g(d) wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:39 PM and 9:10 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of 0 + 5\/12*r**4 + 5\/2*r**3 + 13*r + 5*r**2. What is u in l(u) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50731 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.04 - -0.46. Let o be (4\/(-10))\/(2 + -3). Let l be (-4)\/5*6\/8. Which is the nearest to 0.2? (a) y (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes after 4:33 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (j - 3*j + 0*j)*(-2*j**2 - 6*j + 11*j + 3*j**2)*(j**2 + 3*j**2 - 2*j**2).\nAnswer: -4*j**5 - 20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -380154 = -9755*w - 637765 - 561809 for w.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 88 times -0.594?\nAnswer: -52.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3242600 rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -41 + 37. Let m = 0.8 - 1. Let p = m - s. Round p to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -3591092, -7182202, -10773332, -14364482, -17955652?\n\"Answer: -10*f**2 - 3591080*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 79*m**4*z**2 - 45*m**3*z**2 + 33*m**2 + 14*m*z + 2*z**2 + 5*z wrt m.\nAnswer: 1896*m*z**2 - 270*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 242 a factor of 697090863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 16659 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -108 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -198436 + 214*h**2 + 41*h**2 - 198430 + 396866 + h**3.\nAnswer: h**3 + 255*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4 and 146440.\nAnswer: 146440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -24 + 27. Let f = j - 12. Let g be -3*(4 + (6\/f - 4)). Solve 5*a - 7 = g*u, -3*u + 2*u = a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -5*l - 7. Let a be q(-3). Suppose 4*k = 8*k + a. Let y be 8\/(-4) + (0 - k). Solve 3*f + 4*w = -20, 2*f + y + 12 = -2*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = -5*y + 3*j + 465, y + 3*j = 75. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(-22)\/c)\/c**(-20)*(c**16\/c)**(3\/34) assuming c is positive.\nAnswer: c**(-23\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -3.87 - -26.109.\nAnswer: 22.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 55\/4 of a century?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 158114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -66*t**4 - t + 180 - 358 - 26*t**4 + 180 to the form c*t**2 + n*t + f*t**3 + l + j*t**4 and give j.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**10*b*b)**(3\/22))**20 assuming b is positive.\nAnswer: b**(360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 715.6232 micrometers?\nAnswer: 0.07156232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 1666 divided by -833\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rborrrrrborrborbo. What is prob of picking 2 r and 2 o?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 13483.5 - 13483. What is the fifth biggest value in a, 4.6, 4\/3, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 4*c - 59 = 3*b, b + c + 11 = 0. Let t = -20 - b. Sort 4, t, -4.\nAnswer: t, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 7 + 7\/((-14)\/10). Suppose 0 = 4*s + 4, 3*a - 105 = -n*a + 5*s. Solve x = 6*x - a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*m = 2*m - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 130646541 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = -5*i + 150, 101 = 4*i + m - 13. Suppose -4*r = -2*z + 64, 59 = 3*z + 4*r - 7. Calculate the least common multiple of z and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32264 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 352785145 = -115*h + 352783075 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a - 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.005 - 4.995. Let h = -0.09 - -0.1. Let t = -2.01 + h. Which is the closest to -2\/7? (a) 1\/3 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 0 = -3. Suppose -5 = -y*z + 13. What is the units digit of 10\/6*z\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(3\/2))**(2\/45)*(p*p**(-2)*p)\/p*p*p**(-2\/9) assuming p is positive.\nAnswer: p**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/2 + (-914)\/(-4). Let t = 2646 - 29132\/11. Find the common denominator of (f\/(-9))\/(-4) - -2 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 3*o + 5*p + 72, -5*p = 2*o - 72. What is the remainder when 1331 is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 46968 is divided by 5139?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 43 divided by -375831\nAnswer: -43\/375831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v - 4*x + 3 - 15, -v = 2*x + 6. Suppose v = 34*z - 7*z. Which is greater: -1\/134 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42105295 divided by 8421059?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/53 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -2*t**3 - 6 + 11*t**2 + 9*t - 3*t**2 + t**3. Let h(q) = -q**3 + q + 1. Let y(c) = 2*h(c) - l(c). What is the units digit of y(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8314353979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1476 + -398.8897\nAnswer: -1874.8897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 2*h**2 - 3*h - 4. Let v be x(4). Let m = v + 14. Suppose 0*a = 5*a - 30. What is the highest common divisor of a and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5795.\nAnswer: 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/((-3)\/(-5) + -1). Let y = -5 - f. Suppose y = c + 2*c - t - 3, 4*c + 3*t - 17 = 0. Solve -3*j + c = r, 0*j = -3*j + 5*r - 28 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (13 + -11)\/((-4)\/(-14)). Suppose 5*y + 54 = -16. Let g be y\/(-49) - (-40)\/o. Solve -4*a + a = -g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 plus -602?\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1276428 <= 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1214365 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1\/3)\/1 + (-8)\/(-3). Find the second derivative of 40*w**g + w**2 - 16*w - 26*w + 45*w wrt w.\nAnswer: 240*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 16 - 19. Let h be (-4)\/p + (-2)\/3. Which is the closest to h? (a) -1 (b) -2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**3 + 4*w + 5 - 8*w**2 - 3 - 3 + 4*w**2. Suppose -6 = -g - g. Let z be d(g). Solve 12 = z*q + 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4183935545 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.26 + 0.04. Let r be 1*1*(-1 - 0). Let k = -6.07 - -5.87. What is the nearest to k in r, d, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2 - 3*q - 2 + 5*q + 3 wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 6*t**2 - 7*t + 2. Let g be l(-3). Let x = 223 - g. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the third derivative of g**4\/12 + 3*g**3 - 26*g**2. Let m be o(-7). What is the units digit of (1 - 795\/(-9))\/(m\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 15 (base 9) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/116 in -68, -5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 58\/3 of a century?\nAnswer: 23200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -15*u**2 - 4*u + 4. Let k(w) = -w**2. Let v(o) = 6*k(o) - y(o). Give v(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -0.04 (b) -59 (c) 6\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*c**2*d**4 - 2*c**2*d**2 + 123*c**2 + 878*d**4 + 4*d**3 - d - 1 wrt d.\nAnswer: -48*c**2*d + 21072*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pilo when four letters picked without replacement from {p: 2, x: 3, l: 2, o: 6, i: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 56? (a) 1 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 62 minutes after 4:01 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -223*b. Let w be n(-1). Suppose 0 = 5*g - 1258 + 143. Do g and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*p + p + p)*(-1 + 8 - 1)*(40 - 40 + 2993*p - 3903*p) in the form f + d*p + l*p**2 and give l.\nAnswer: 5460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 85*s**2 - 2*s + 1. Is 12 a factor of h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -14, -4, 16, 52, 110, 196, 316, 476?\n\"Answer: x**3 - x**2 + 6*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 3*n = 20. Let c(q) be the third derivative of q**6\/120 + q**5\/12 + q**4\/8 + q**3\/3 - 26*q**2. What is c(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/13, 248, 1, -567, 5 in ascending order.\nAnswer: -567, -1\/13, 1, 5, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10 - -9.5. Which is the closest to 1? (a) q (b) 0.3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 130 - 224 = 25*u + 156 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**2 - v + 4. Let y be p(-4). Let j = y - -24. Suppose 5*c - j = 4. Sort -2, c, 5 in descending order.\nAnswer: 5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40774 is divided by 13586.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 61311 (base 7) to base 11\nAnswer: 1021a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -9*b - 317. Let g be w(-35). What is the fourth biggest value in 0.06, 0, -21, g?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.665 + 5.335. Which is the biggest value? (a) 4 (b) s (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4648.7 + 0.\nAnswer: -4648.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -5162498 (base 10) in base 14?\nAnswer: -98553c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 156 and 10842?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 734*u - 14186 = -3176 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -30*v**4 + 7390*v**3 + 106834*v**2.\nAnswer: -720*v + 44340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -168*s - 3687. Calculate the least common multiple of d(-22) and ((-13)\/(-3))\/(3\/27).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11266 is divided by 289?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*k = 14*a - 1092 + 850, 0 = -a - k + 25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 101121022001 + 2210?\nAnswer: 101121101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c**3 - 12*c**2 - 10*c + 11. Let t be k(-11). Suppose -21*y + 17*y + 64 = t. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000058547915 rounded to 7 decimal places?\nAnswer: 0.0000585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or -313?\nAnswer: -313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 37879240?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 30 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/x**(2\/5))\/((x\/(x\/(x*x**(14\/9))))\/x*x) assuming x is positive.\nAnswer: x**(-88\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 - -2201?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -78 + (79 - 74) + 145.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-11 + 3 + 3)*(4*b**2 + 3*b**2 - 3*b**2) + (4*b**2 - 4*b**2 - b**2)*(2 - 4 + 3) - b**2 + 3*b**2 + 0*b**2 as g*b + l*b**2 + f and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (2*i - 3 - 3 + 3)*(-i + 0 + 0) in the form y + g*i + f*i**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 - 278016.\nAnswer: -278015.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 311 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(99)\/(sqrt(63)\/(-2*sqrt(7))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4197 or 27847?\nAnswer: 4197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*q**3 - 3*q**3 - 6*q**3 + 9*q**3 - 6*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 96, 235, 420, 657, 952, 1311, 1740, 2245?\n\"Answer: h**3 + 17*h**2 + 81*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -610*k**3 - 11*k**2 + 5*k + 10. Let x be o(6). Let u = -204077 - -556193. Let p = x + u. What is p rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*h - 40 = 2*h. Let d(u) = -u**2 + u - 11. Let f be d(h). Let b = 27 + f. Let w(g) = g - 4. Give w(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 257 divided by 1?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 981*f + 11817. Calculate s(-12).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**2 + 4001*y + 28056. Determine t(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(210)\/sqrt(5))\/sqrt(6))**2 + -3 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11) + (sqrt(44)\/sqrt(4) - sqrt(11)) + 3 - (sqrt(396) + 1))**2*1 + sqrt(704)*2*3 + 4.\nAnswer: 28*sqrt(11) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 535907?\nAnswer: 199, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 2 - 1)*(-1 - 2 + 2)*(0*a**2 + 0*a**2 + 3*a**4) in the form v*a**3 + x*a**4 + s + c*a**2 + q*a and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1999 or -151843\/76?\nAnswer: -1999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 454473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 31758541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*z + 15*z - 12 = 0. Let g be ((10\/70)\/(1 - z))\/1. Which is the biggest value? (a) 4\/3 (b) g (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -795503 + -275?\nAnswer: -795778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -127344 (base 8) to base 15.\nAnswer: -d3ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -27*w + 26*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 42739772 divided by 392108.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*l + 5 - 8*l - 3 - 8*l - 13*l.\nAnswer: -27*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24461, -24252, -23883, -23336, -22593, -21636, -20447, -19008?\nAnswer: -17301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 5*a. Let x be c(-8). Let v be x\/25*2\/24. What is the second smallest value in -5\/4, v, -4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -33\/191?\nAnswer: -33\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v + 6. Let l be j(2). Suppose 3*y = -y - l. Is y less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(78) + 1*sqrt(78)*-4)*-2)\/(sqrt(6) - sqrt(294)*-2 - sqrt(6) - 2*sqrt(600))*-4)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4034671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 78 + -53. Let a(g) = g**3 + 20*g**2 - 2*g + 8. What is the remainder when a(-20) is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 102747 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 846668 less than 846668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6419637 and 588?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -12 (b) -5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 426 + -424. Put 1\/4, -14, -5, v in descending order.\nAnswer: v, 1\/4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30082 divided by 26.\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 117414 divided by 117414\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 11*y + 69. Let w be a(-3). Calculate the greatest common factor of 162 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.046 + 1.954. Which is the biggest value? (a) -1\/4 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4221 and 1407.\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 25412 = k, 6*x = 3*k + 5*x - 76230. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 77 - 34*v**2 + 2*v**3 - 77 + (-3*v - 4*v + 5*v)*(-7 + 3*v**2 + 7).\nAnswer: -4*v**3 - 34*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the first derivative of -j**3\/3 - j + 42. What is b(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -7, -183 in descending order.\nAnswer: -0.2, -7, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1328803 - 925043. What is j rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in fourty-six fifths of a meter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -213123 (base 4) in base 3?\nAnswer: -10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 155904.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 270 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 270 and 15470892?\nAnswer: 77354460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*v - 46 = 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1.7683533 months?\nAnswer: 0.147362775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 655627547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 82a7aa (base 11) in base 4?\nAnswer: 11011023333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 79507 = 23292. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b**2 - b + 2. Let h be r(0). Suppose 4*i = 20, m - 4 = -h*i + 7. Let u(x) = x**3 + 3*x**2 - 2*x - 3. Let v be u(-3). Solve -v = 4*s + m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 2*v**3 + 3*v**2 + 3*v + 6. Let d(a) = -a**3 - 2*a**2 - 2*a - 5. Suppose 4*o + 8 = 2*o. Give o*z(b) - 6*d(b).\nAnswer: -2*b**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a - 1. Let l(i) = -2*i**2 + 2*i - 2. Let r(f) = 2*l(f) - 4*x(f). Let o(w) = 2*w. Calculate r(o(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*w + 0*w - 5*w + (3 + 4 + 8)*(1 - 2*w - 1).\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1540001?\nAnswer: 41, 37561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -88.9*-639.301.\nAnswer: 56833.8589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -8*q + 17*q - 60 + 15 - 65 + q**2 - 12*q as f + w*q + b*q**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37099966.\nAnswer: 2, 23, 806521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -11*m**2 - 6*m - 1. Let r(n) = n**2 + n. Let h(s) = 5*r(s) + z(s). Calculate h(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the first derivative of -21*f**2 - 21 + 12*f**2 + 2*f**2. Let b(c) = 3*c**2. Determine b(r(v)).\nAnswer: 588*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**11)**(-8)*v**27*v*v\/(((v*v\/((v*((v*((v\/v**(-2))\/v)\/v*v)\/v)\/v)\/v)*v)\/v)\/v*v)*v assuming v is positive.\nAnswer: v**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 165 a factor of 221480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*r + 25, -2*g - 652 = -r - 659 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**3 + 37*l**2 - 2634*l + 263. Calculate the remainder when (171\/4)\/((-2)\/(-8)) is divided by n(36).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 676422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 - -0.8. Let u = 0.23 + -0.13. Which is greater: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c**5*c))\/(c**(-8)*c))\/(c**(2\/5)\/(c**(-2)\/c*c))*c\/(c**(-1\/2)\/c)*c**(-3)*(c\/(c\/((c\/(c\/(c**5\/c)))\/c)))\/(c\/(c*c*c**(-2\/21))) assuming c is positive.\nAnswer: c**(631\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the second derivative of 0 + 1\/6*n**3 - 1\/12*n**4 - 6*n + 0*n**2. Suppose -1 = -4*m + 7. Determine c(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or 142?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum 14.5679 and 1700213.\nAnswer: 1700227.5679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2*2\/((-4)\/(-31)). Let x = 52 + h. Let r = 22 - x. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 217074551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 733*b - 171*b - 171*b - 262*b - 131*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -112*z + 135*z = 46 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 47 = -12*s - 12 + 406 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2857564613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 6, y: 7, c: 4}. Give prob of picking 1 y and 1 c.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1840\/21 - -14618\/105. Suppose -4*n - 4 = -127*h + 131*h, 4*n = 5*h - 4. Is n <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -796 + 774 + (40 + 0 - 1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25905.\nAnswer: 3, 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-5\/4))**(-3\/2) assuming u is positive.\nAnswer: u**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 12*r**2 + 3*r. Let p be n(4). Suppose -3*f - f + p = 0. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 30 = 8*i. What is the units digit of 29 - (2 + 4 + i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -53 + 55. Let l = 2 + t. Suppose i = -2*x + 12 + 21, 0 = 3*x - 3*i - 45. Solve -4*j = 0, x = l*s - 0*j + 4*j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 53, 4, 1147 in descending order.\nAnswer: 1147, 53, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88)\/(sqrt(72)\/sqrt(9)))**2 - sqrt(88)\/(sqrt(8) - sqrt(128) - sqrt(8)).\nAnswer: sqrt(11)\/4 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = h + 3*p - 0, 3*p - 2 = -4*h. Let s be (16\/(1 + 1))\/h. Suppose -2*g - 5 = -13. Solve -s*f - g*j = 0, 0 = 4*f - j + 6*j + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*l - 16*l + 12*l**3 - 2*l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 90*s + 74*s - 256 = 36*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**2 + 3*l - 4. Let w = 28714 - 28715. Suppose -5*r = -0*r - 15. Suppose 12 = -r*p - 0*p. Let h(v) = 1. What is p*h(d) + w*z(d)?\nAnswer: d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -0.3*-10968822\nAnswer: 3290646.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*t + t + t)*(-36*t + 133 - 131 + 4*t) as u*t + j + v*t**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f - 8 = -2*f. Suppose -f*p = p - 55. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(14)\/((sqrt(2) - (sqrt(2) + 2*sqrt(2)))*-1 - sqrt(2)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-7)\/(-4) + (-2)\/(-8). Let y(z) = -9*z - 1 - z**3 + 6 + 2*z**2 + 3 + 7*z**s. Let r be y(8). Solve r*d = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59256.\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*q**3 - 11196*q**2 - 11200*q.\nAnswer: 4*q*(q - 2800)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d*d**14*d)**4 assuming d is positive.\nAnswer: d**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -200 + 186. Which is the smallest value? (a) g (b) 1\/3 (c) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -8*u**3 - 125. Let t(r) be the third derivative of -r**6\/40 - 7*r**3 - 11*r**2 - 2*r - 168. Calculate -4*i(y) + 11*t(y).\nAnswer: -y**3 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -121733, -121814, -121823, -121724, -121481?\nAnswer: -121058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-28)\/(-88)*(-156)\/(-91).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.07 - -1.93. Let c be -2 + (-3)\/(9\/(-8)). Sort j, -28, c in decreasing order.\nAnswer: j, c, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 8\/(144\/66) + (-2)\/(-6). Solve -25*o + 29 = t*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 3*v = -4*x, -4 = v. Let k be (x\/4)\/(2\/4). Let l = 4694.7 + -4696.7. Which is the third biggest value? (a) l (b) k (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**2 - 26*t + 109. Calculate the remainder when g(-17) is divided by 67.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 7140.329ng?\nAnswer: 0.000007140329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 - 1. Let a = 40 - q. List the prime factors of (72\/(-14))\/((-9)\/a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -12? (a) 1\/17 (b) -0.5227 (c) -2\/3 (d) -3\/2 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 25, -2\/36301, -4, 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.01 in 33483, 0.0155, 0.5?\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/((-1)\/(-3)*3). Let q be ((-3)\/(-6))\/(i\/2). Let c be (q - 2)*40*14. What is c rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 24414982 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -109? (a) 11 (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Solve 2*m - 3*m = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**3 + 26*i**2 - 46*i - 497. Let z be c(-27). Solve -3*r + 17 = q, -z*q + 17*q = -4*r + 22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**(-13)\/k)\/(k**(-17)\/k) assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 61\/2 of a millisecond in microseconds?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2267*q**3 - 340*q**3 - 17*q**2 + 17*q**2 + 2468*q**3 + 84 wrt q.\nAnswer: 13185*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1042 + -3?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find z such that -14*z**4 - 8110*z**3 - 2302*z**2 + 8110*z + 2316 = 0.\nAnswer: -579, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28852 is divided by 462.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -h - 2 = t, 5*h + 2*t = -14 + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 51\/4 of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -83 - -89. Suppose -g*d + 2*d = -d. Suppose d = 6*y - 2*y - 576. Does 24 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2729 + 7*g**2 - 5*g + 225*g**3 + 5322 - 7*g**2 wrt g?\nAnswer: 675*g**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**2 - 19*i - 45. Let b be f(-2). List the prime factors of (-2 - 68\/b)*(-1218)\/(-28).\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*g + g + 0*g + (-3 - 2 + 4)*(-3*g + g + 0*g) + 2*g + 3*g - 4*g)*(6290 - 12926 + 6488) to u + t*g and give t.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -5, 1, 1\/3, -24\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**2 - 10*n - 2. Let u(r) = -608*r**2 + 190*r + 38. Determine -76*o(l) - 4*u(l).\nAnswer: 2356*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**3 + 2*c**2 - c - 4. Let z be u(2). Let l(r) = 218328*r - 32. Let d be l(z). What is d rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = 10*j - 54 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 9827 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**3 + 18*h**2 + 17*h + 34. Let n be 4 + -9 + -4 + (-162)\/(-6). List the prime factors of i(n).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 plus 2.46?\nAnswer: 2.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8 + 1. Let p = f - 7. Solve 0 = -p*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34695 is divided by 34647.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 + 11002?\nAnswer: 11006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.023 and -1982308.0729?\nAnswer: 1982308.0499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1739486 is divided by 4884?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (3*t + 0*t - 16*t)*(0 - 2 + 1)*(5*t - 6*t - t) as k*t**2 + d*t + z and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 100001 + 120?\nAnswer: 100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -83*w - 410. What is d(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6568 + -6561. Which is bigger: 12 or j?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -211*k - 5538 = 765*k - 154 + 3400 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + 0. Let p = 325 + -223. Suppose 3*u = -3*q + p, n*q + 5*u = -3 + 71. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/(-1) - (-9 + -1684 + -4). Let n(b) = -x + 4*b - 5*b + 1693. Calculate n(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*u - 12 = 3*u. Suppose u*n = 6*n - 128. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + -2 + (0 - (-7 + 9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 = 2*k - 60. Is 29 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -35, -31, -27, -23, -19, -15?\n\"Answer: 4*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o, i = -3*i + o - 4. Let u be -5 + i + 7 + -6. Let m be 310\/25 - (-2)\/u. Solve 4*p + m = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) -4 (b) 0.01 (c) -0.5 (d) 0.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 109 + -63. Suppose 2*v - 10 = -h, 22 + a = 5*h + 4*v. What is the remainder when 45 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9175 - 1?\nAnswer: 9174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 AM and 7:34 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8915 + 9021. Let q(j) = -j**2 - 5*j + 5. Let l be q(-5). Suppose 0 = 3*t - 9, 4*o + l*t - 118 = 41. What is the remainder when f is divided by o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 + -28. Let m = -17 - u. Let y(g) = -14001*g**2 + 5*g. Let j be y(m). What is j rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the third derivative of 97*g**6\/120 - 131*g**3\/3 - 9*g**2 - 5*g. Differentiate b(l) with respect to l.\nAnswer: 291*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1235.2924 rounded to the nearest integer?\nAnswer: -1235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the third derivative of u**5\/20 - 3*u**4\/4 - 3*u**3\/2 - 8*u**2 - 67. Determine y(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -34981 or -104941\/3?\nAnswer: -104941\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 18*b - 12*b - 3 - 8*b. What is h(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r + 27*d - 26*d = -26, 55 = 219*r - 214*r - 5*d for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 5*p - 12. Suppose -2*c = 2*g - 7 - 7, -2*g - p = -4*c. Factor -2\/5*l**c - 4\/5*l**2 + 0 + 0*l.\nAnswer: -2*l**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -3*a**3 + 3*a - 7. Let c be h(-3). Suppose c = -7*n - 19. What are the prime factors of (-80)\/n*1\/4*30?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q. Suppose 32*f = 27*f + 20. Let s(b) = -b**2. Let t be s(-1). Let g(z) = -13*z - 2 + 16*z - 2. Calculate f*n(k) + t*g(k).\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 13*r**3 - r**2 + 2*r. Let x(q) = -38*q**3 + 2*q**2 - 7*q - 1. Let d(m) = 7*s(m) + 2*x(m). What is the hundreds digit of d(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5222747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 10028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 410 a factor of 3371461054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -1 + -20 + (-77703)\/(-3717)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is (-48 + 49)\/((-7)\/(-7986671)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 23934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the second derivative of a**5\/60 - 17*a**4\/12 + 11*a**3\/2 + 51*a**2 - a + 9. Let w(c) be the first derivative of b(c). Factor w(m).\nAnswer: (m - 33)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**2 + 6*x + 2. Let r be o(-6). Let z = -2.26 + 0.06. Let g = 1.9 + z. Sort g, r, 0.\nAnswer: g, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 738697, 738707, 738717, 738727, 738737?\n\"Answer: 10*i + 738687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 1b1a47 (base 16) to base 12\nAnswer: 717a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 282 and 110685.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the first derivative of -v**6\/120 + 4*v**3\/3 - 3. Let i(u) be the third derivative of j(u). Let w(o) = -o**2. Determine i(w(g)).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/967? (a) -4 (b) -1\/3 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 + -10 - 3) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5789440985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:35 AM and 9:21 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (55 - -11) + (-222 - -145).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 63\/4*g**2 - 1\/4*g**3 - 91\/2*g + 30.\nAnswer: -(g - 60)*(g - 2)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1292*n - 366*n - 33449 - 10426 = -9613 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-8)\/(-28) + 346\/14. Suppose -9 - 11 = -4*j. Let z be ((-4 - -27) + j)*(-50)\/(-8). What is the highest common factor of t and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -20*a**2 - 318*a - 5080. Let v(o) = -9*o**2 - 160*o - 2542. Let l(f) = -7*v(f) + 4*w(f). Differentiate l(g) wrt g.\nAnswer: -34*g - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -42, -82, -122, -162?\n\"Answer: -40*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -4*h**2. Let k(t) = 21*t**2 + 7*t. Let q(n) = -21*n**2 - 8*n. Let m(a) = -7*k(a) - 6*q(a). Let w = -19 - -30. Give w*f(y) - 2*m(y).\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m**2 + 22*m - 61. Let r be w(19). Suppose -a - a + s = -21, 5*a + s = 42. Put a, r, 3, 0 in ascending order.\nAnswer: r, 0, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -6, -54, -128, -222, -330?\n\"Answer: y**3 - 19*y**2 + 2*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -0.242 * -5\nAnswer: 1.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -36 times 0.36414?\nAnswer: -13.10904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0\/39)\/(3\/(9\/6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -k - 2. Let f be y(-2). Let b = 7 + f. What is the remainder when 20 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = l**3 + 10*l**2 - 32*l - 367. Let i be s(-9). Solve -5*q = -4*h - i, 1 = -h - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 7)*(-2*i**3 + 3*i**3 + 0*i**3)*(-2*i + 3*i + i).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 5*u**2 + 2*u + 3. Let t be m(-2). What is the highest common factor of 76 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 97 + -2.273.\nAnswer: 94.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -14690 and -9.14?\nAnswer: 134266.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**2\/3 - 98*d\/3 - 2401\/3.\nAnswer: -(d + 49)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 + 114467*x + 7 + 22636*x.\nAnswer: 137103*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -6713, -28268, -64681, -115952, -182081?\n\"Answer: -7429*a**2 + 732*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {e: 6, r: 8, t: 3, n: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c + 16*c. Suppose c = -7*k - 68 + 103. Solve h - k*h = -20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 2*s**3 - 42*s**2 + 8*s + 43. Give q(20).\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l + 3*l - 4*l)*(-4*l + 2*l + 3*l) + 0*l**2 + 2*l**2 - l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 33772 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -8 (b) -5 (c) -0.2 (d) 7 (e) -1\/8 (f) -143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -15 - -7. Let i(d) = d**3 + 9*d**2 + 7*d - 5. Let u be i(p). Find the third derivative of 3*k**3 - k**2 - 4*k**u + k**2 + 2*k**2 wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -72051719*g**2 + 164842*g - 116 wrt g?\nAnswer: -144103438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 22 = -5*n, 0*n + 3*n = 4*s - 20. Let z = -15\/4 + 4. Factor -z*h**3 - 1\/2*h**s - 1\/4*h + 0.\nAnswer: -h*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1981 - 1982. Which is the biggest value? (a) 1 (b) -0.2 (c) -2 (d) x (e) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 31477 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve l + 15 = 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes before 10:08 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 3*l**2)*(0*l**2 + l**3 + 0*l**2) - l**5 + 5*l**5 - 3*l**5 + 5*l**5 + 0*l**5 - 4*l**5 + (5*l - 5*l - 2*l**3)*(l**2 + 2*l**2 - 2*l**2).\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -28.1 + 28. Which is the third biggest value? (a) i (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - u - 3)*(-56320 + 29343 + 28752) as n + b*u and give b.\nAnswer: -1775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(1 + (sqrt(704) + sqrt(44))*-5 - 5*(sqrt(176)*-2 + sqrt(11) + (2 + sqrt(176) - sqrt(11)))).\nAnswer: 36 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 3 a when four letters picked without replacement from {u: 5, a: 5, e: 1}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 + 2.1. Let v = -6\/19 + 73\/171. What is the nearest to -0.1 in v, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 23395, 50372, 77349, 104326?\n\"Answer: 26977*k - 3582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14 - 12 - 20331*x + 54700*x.\nAnswer: 34369*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19449, 38906, 58399, 77946, 97565, 117274, 137091?\nAnswer: 157034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 3*v**3 - 5*v**2 + v - 2. Let y(x) = -10*x**3 + 16*x**2 - 2*x + 6. Let h(m) = -7*r(m) - 2*y(m). Let i be h(2). Solve -4*o + 3*o + 2 = i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 3*p**3 - 2*p**2 - p + 1. Let v be o(2). Suppose 0 = 5*m - v, 43 = -b + 6*b + m. Suppose 2*k = k + b. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**5*b*(b\/(b**(-1\/4)\/b))\/b)\/(b\/(b\/b**(1\/2))*b*b**(-9)))**(-7\/5))**(11\/3) assuming b is positive.\nAnswer: b**(-4543\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 21002022 (base 3) to base 14.\nAnswer: 1c4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6 - -9. Let n = s - 1. Calculate the remainder when 3 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -170*p + 11.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 32558 (base 14) in base 11?\nAnswer: 83562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the first derivative of -q**3\/3 - 7*q**2\/2 + 14*q - 17. Let o(f) = f**2 + 7*f - 13. Let y(l) = 6*g(l) + 7*o(l). Calculate y(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:07 AM and 6:27 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 324, 645, 964, 1281?\n\"Answer: -d**2 + 324*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4, -0.0222, -2, -1\/4, -11\/6, 0.02, 0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 50\/77 + -4\/11. Which is smaller: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from {e: 2, f: 1, u: 4}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-21)\/14)\/(6\/40). Let b(o) = o**2 + 10*o + 13. Give b(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -6 (b) 1 (c) 17568610\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -162049649*d*f**3 + 19*d*f**2 - 2*d*f - 2*d + 3*f**2 - 244*f - 10 wrt f.\nAnswer: -972297894*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(1728))**2 - (-1*sqrt(75) + 3)) + -4.\nAnswer: -1735 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:52 AM and 11:46 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -2*h**2 - 23*h - 24. Let j be v(-10). Let n be 364\/j + (-26)\/39. Let r be 15\/(1 + 0\/(-1)). What is the highest common divisor of n and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cesdsedce. Give prob of picking 2 s.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4 + 1 + (-6 - -6). Solve 4*v = d + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 105, 4, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -52\/9121 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 44\/(-286) + (-17502)\/(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8.3 + 8. Suppose t + v - 9 = 3*v, 2*t - v - 9 = 0. Let y = 5 + 0. What is the second smallest value in t, y, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*p - p + 0*p)*(-3 + 4 + 2)*(5 - 3 + 0).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 33177737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-345)\/(-348) - 1)\/(-26 + (-5671)\/(-214)).\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 365844 + -56615. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 2022170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8092 and 18445?\nAnswer: 1254260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -2 times -21.122\nAnswer: 42.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 418530 and 97657.\nAnswer: 2929710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 150648749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 0*l + 2*l**3 + l**2 + 7*l - 6*l in the form j*l**3 + n*l + y + v*l**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -117 - -201. Let m = p + -88. Sort -23, 1, m.\nAnswer: -23, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 174, 256, 338?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**2 - 2*z - 4. Let h be j(4). Suppose -q - h*q = 30. Let y = q - -10. Solve -y*m + 2*b - 4 = -2*b, -4 = 2*m - b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 597*j + 7678. What is t(-13)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2*w + 0)*(-w**3 + 2*w**3 - 3*w**3) + 3*w**4 - 4 + 4 + 6*w**4 - 14 + 14.\nAnswer: 13*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add together -1281 and 30565113.\nAnswer: 30563832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -528 + -6?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -86*k**4 - k**5 + 13*k + 86*k**4 - 2*k**5 wrt k.\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -60 (b) -2\/3 (c) 2 (d) -9 (e) -28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r\/(r*r**(-1\/15)))\/r**24*((r\/(r*(r\/r**(-3\/11))\/r*r))\/r)\/r**(-4\/15) assuming r is positive.\nAnswer: r**(-823\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -31 (base 6) to base 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -3*s - 12, -s - 7 = -2*v + 4. Let u be -2*(-270)\/(-25) - 3\/s. Is 0 - 1*u*5 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 17 - (-9 - -1) - 14. Let h(o) = -o**3 + 11*o**2 - 5*o + 6. Give h(t).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -0.1, 0.2, -0.01, -0.08, 20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 416*-0.219.\nAnswer: -91.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1211 * -89.3\nAnswer: 108142.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**2 + 83*s - 7208. Determine y(53).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -3137, -7070, -11003, -14936, -18869?\n\"Answer: -3933*r + 796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -17*y + 3 - y**3 + 234*y**2 - 245*y**2 + 0. Determine q(-8).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1436777526?\nAnswer: 2, 3, 239462921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -5*s**2 - 17*s + 11. Let y be w(-4). Is 4\/117 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * 0.2421.\nAnswer: 0.2421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1197.3 + 1197.3. Which is the nearest to j? (a) 0 (b) -1 (c) -1145 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = -l + 18079, 0 = 5*b - 52 + 37. Is l a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -54*i**3 + 24*i**2 - 24*i + 24. Let b(k) = -24*k + 46 - 51 + 11*k**3 - 5*k**2 + 29*k. Calculate 24*b(o) + 5*y(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 221 - 205 = 2*u, 640 = -3*c - 4*u. Let l = c - -236. Solve 0 = -6*j + 12*j - l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6545081*z**5 - z**3 + 36678670*z?\nAnswer: -130901620*z**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = -4*f - 2*j, -5*j + 9 - 32 = 2*f. Let u = 7 + f. Suppose 7 = -u*z - 5*h + 54, 4*z + h = 74. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 38 = 52. What is the common denominator of (12\/q)\/(72\/830) and 83\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -84*d**2*o**3 - 1407082*d**2*o + 5*d**2 + 512*d + 3386 wrt o.\nAnswer: -252*d**2*o**2 - 1407082*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the third derivative of m**4\/4 - m**3\/6 - m**2. Let j be 4\/16*4*0. Suppose j = 5*i - 22 + 7, -5*o + 17 = 4*i. Calculate h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**3 - 6*t**2 + 7*t - 6. Let w be f(-7). Let d(k) = -2*k**3 - 12*k**2 + 2*k + 12. Let u be d(w). Is -1\/27 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 77, 178, 353, 608, 949, 1382, 1913?\nAnswer: 2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the first derivative of 20 + 0*u + 0*u**2 - 1\/3*u**3. Let b(k) = 2*k. Give b(r(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v + v - 6. Suppose 545 = 3*j + v*j. Suppose -p + 1 = -4*h, -4*p - 6*h = -h - j. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 89 - 57. What is the highest common factor of 96 and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 5*v + 59. Let q be u(-12). Let p be (q\/(-3))\/(17\/(-102)). What is the nearest to 0 in 20, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3 + 3 - 2)*(443 - 443 + 3*d) - 2 - d + 2 as m + k*d and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 8 - 53*f**2 - 45 + 95*f**2 wrt f.\nAnswer: 84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 30006*b**4 - 14*b**5 + 284*b**6 - 309*b**2 - 279*b**6 - 30000*b**4 wrt b?\nAnswer: 600*b**3 - 840*b**2 + 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 145265890?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(-3*-5*(sqrt(832) + 0 + -2 + 5) + -5))**2.\nAnswer: 9600*sqrt(13) + 188800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -438175 by 25.\nAnswer: -17527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 - 2\/(-2))\/(-2). Suppose -3*k - 3 + n = 0. Is 0 - (k + (-20)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = -4 + 12. Suppose -4*q = -2*q - h, -4*o + 2734 = -5*q. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.028797 to 4 dps.\nAnswer: -1.0288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11*31\/13981*(-18)\/9.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*c + 10*c = -5. Is 3 a factor of c*17 + (4 - 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from {o: 6, j: 2, x: 1, b: 4, v: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 314565505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pjjpjjjp. What is prob of sequence pj?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.8 + 0.2. Let s = 488 - 488.5. What is the nearest to 1\/5 in s, -1\/7, k?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (40\/210)\/((-128)\/(-112))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**3 - 3*u**2 - 2*u + 1. Let y(b) be the first derivative of -b**2\/2 + b + 2. Let r be y(-1). Give i(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -39.89 - -40. Is m equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -22*o + 238 - 40. Solve -5*z - 3 = 4*a, -5*z - a = 3 + o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the second derivative of -n**3\/2 + n. Suppose -3*u - 5*y + 3 + 3 = 0, 3*y + 2 = u. Suppose 3*t = t + u. Give f(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-10 - -9)*(2 - 7). Suppose t*r - 3*r - 334 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -194 + 195. Let u(w) = -2*w**3 - w**2 + 3*w + 2. Let x be u(-2). Let f be 4*(x + 2)*y. Calculate the greatest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the third derivative of x**9\/1008 + x**8\/280 - x**7\/35 + 55*x**3\/2 + x**2 + 20*x. Let p(c) be the first derivative of i(c). Factor p(k).\nAnswer: 3*k**3*(k - 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*m - 3*i + 34, -3*m - 3*i + 21 = -i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -34.7+26750\nAnswer: 26715.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*r - 27 = 5. Let o be ((50\/(-5))\/(-5))\/r. Let q be (-20 + 6)*o*1\/(-2). What is the highest common factor of 49 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = -0*h - 15. Suppose 2532 = h*f - 1163. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-918)\/(-1071)*(-4)\/6\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.1 + -0.4. Let t be (-1*1)\/(112 + -114). Which is the closest to -2\/5? (a) -2 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (0 - -5 - (0 - -5) - -24) + (172 - 159)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, u: 4, l: 3, p: 6, x: 3, w: 1}. Give prob of picking 1 l and 1 u.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -0*s - s. Let l(u) = 4*u - 8. Let p(o) = -o. Let c(n) = -l(n) - 3*p(n). Calculate the least common multiple of s and c(-6).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in fifty-nine fifths of a decade?\nAnswer: 1416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 6757646*f**2 + 3 + 6757634*f**2 - f + f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t = -3*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/2 of a day in minutes?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 52696*q**5 - 176*q**4 + 15077*q**2 + 1570.\nAnswer: 3161760*q**2 - 4224*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 118955717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:53 PM and 1:21 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*(k*k**(-27))\/k*k*(k*k*k**(10\/3))\/k)\/(k\/((k\/k**(-22\/5)*k)\/k))**(-43) assuming k is positive.\nAnswer: k**(-3133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*n = 44*n - 40742. Is n a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 2*k**2. Let z(u) = -86*u - 21. Let y(l) = 259*l + 63. Let w(o) = 5*y(o) + 14*z(o). Let c(v) = -9*v - 2. Let s(t) = 21*c(t) + 2*w(t). What is h(s(g))?\nAnswer: 98*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 + -2 + 9 + 13 - -12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2677 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 1758, 0.2, 4 in ascending order.\nAnswer: 0.2, 4, 1758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 68173*s**3*v - 2*s**2*v + s*v + 3*s - 3564*v wrt s.\nAnswer: 409038*s*v - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 112047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c + 1 - 1 + 2*c**2)*(9529*c**3 + 6330230*c - 6330230*c)*(3 - 1 - 1)*(3 - 4 + 2).\nAnswer: 19058*c**5 - 9529*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 4352 (base 12) in base 11?\nAnswer: 5623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6 (base 14) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -800 - -799.7. Which is the closest to 1\/4? (a) -5 (b) o (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4*(-11)\/(-44))\/(2*(-3)\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 6626, 6624, 6620, 6614, 6606, 6596, 6584?\n\"Answer: -y**2 + y + 6626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the third derivative of -c**5\/30 - 5*c**3\/6 + 147*c**2. Let s(i) = -6*i**2 - 14. Let d(m) = m + 1. Let a be d(-4). Calculate a*s(u) + 8*o(u).\nAnswer: 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 637*s**2 - 1906*s**2 + 645*s**2 - 3*s + 3*s + 623*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -421, -367, -271, -133, 47, 269?\n\"Answer: 21*q**2 - 9*q - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 1101+-0.071\nAnswer: 1100.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3)\/63*-2*3. Let y = 48.7 - 48.8. Which is the closest to q? (a) 0.1 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 1 + 10*u + 3*u + 5*u - u**2 + 4*u**2. Let m = -11 - 1. Is c(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 - -11 - 1 - -3 - -1 - 49\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 + 69 + 91 + -182.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1321 + 1325. Which is the nearest to 0.1? (a) -2\/7 (b) -18 (c) x (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -69, -128, -189, -246, -293, -324, -333?\n\"Answer: z**3 - 7*z**2 - 45*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 616*b - 505. What is the units digit of s(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -3 + 50 + -5 + 2. Suppose -3*q + m = q. Suppose k - 2*k = -q. Calculate the remainder when 43 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xsxxsssxxwswxx. What is prob of picking 1 x and 2 s?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -919\/28083 + 6\/253. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 2*p**3 + 5*p**2 - p - 5. Let s(g) = g - 5*g**3 + 27 + 25 + 3*g**3 - g**3 - 4*g**2 - 48. Determine -5*s(t) - 4*u(t).\nAnswer: 7*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -36217.06119 to the nearest 10.\nAnswer: -36220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 56036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 0 - 2*y + 0. Let m(g) = -359*g - 10062. Let k(n) = -21540*n - 602043. Let t(r) = -6*k(r) + 359*m(r). Calculate t(c(j)).\nAnswer: -718*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 302422 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*t = 4*t + 2*k + 11736, 0 = -5*t + 2*k + 14668. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 6 (b) -0.3 (c) 3 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2650\/106 - (15 + 0). Solve 0 = -f*m + 36*m - 104 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -559*b = -567*b + 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11 + 19. Suppose 22 = 5*o + 3*t, t + 3 = 2*o - f. Suppose -6 = -o*k + 4. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**2 + 8*g - 71. Let y(b) = -b**2 + 3*b - 2. Give -f(z) + 2*y(z).\nAnswer: -z**2 - 2*z + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1646?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/53660 and 31\/53660?\nAnswer: 53660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -24*q. Let g(j) = 12801*j - 32. Give h(g(a)).\nAnswer: -307224*a + 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28201037.\nAnswer: 67, 347, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*h - 1080 = 159*h + 210 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1848935534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/5*5180\/2331)\/((-76)\/6)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the second derivative of 54*m**3 + m**2\/2 + 3*m. Let x be f(1). Suppose y - 6*y = -x. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 79542364 or 79542363?\nAnswer: 79542364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 3*b - 30 = b, -2*w - 2*b = 6. Find the common denominator of 81\/14 and 4 - w - 297\/12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4152*d - 4121*d + 465 = 0 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -380, -858, -1648, -2744, -4140, -5830?\nAnswer: -7808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor x**3\/12 + 86489*x**2\/12 + 475050346*x\/3 + 108083765260.\nAnswer: (x + 705)*(x + 42892)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 1101111100000111111101 (base 2) to base 10.\nAnswer: 3654141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 2*m = 60, 4*f = m + 4*m - 57. Let n = f + 29. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 388946945 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10 - 5. Let o = 0.5 + -0.2. Sort 3\/4, r, o.\nAnswer: o, 3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 755361 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the first derivative of -2*c**3\/3 + 15*c**2\/2 + 13*c - 219. Let q be z(8). Solve 9 = -v - 4*p - 0, 0 = 3*v + q*p + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 68783 and 481?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 65 and 2171.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -3*p + 3, 0 = 2*h + 2*h + 3*p + 21. Is h*(-1)\/(-3) - -212 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*m - 12*m = -80 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + h - 8 = 0. Let g(y) = y**h + 9*y - 7*y - 2*y. Let o(n) = 2*n**2. Calculate o(g(q)).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2597\/18 + 144. Let n = l - 2\/9. Which is the closest to n? (a) -0.2 (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -15*c - 92. Determine u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 953483?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**3 - 13*i**2 - 11*i - 3. Is y(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -10*b**5 + 5*b**4 + 5*b**3 - 5*b**2 + 5. Let n(y) = 15*y**5 - 8*y**4 - 8*y**3 + 8*y**2 - 7. Let d(w) = 5*n(w) + 7*v(w). Suppose d(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -1\/4, 33, -0.5, 0, -5 in decreasing order.\nAnswer: 33, 0, -0.2, -1\/4, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 2 g when three letters picked without replacement from guuughq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -5\/3*h**3 - 4505*h + 14045\/3 - 175*h**2.\nAnswer: -5*(h - 1)*(h + 53)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**2 + 18*u - 15. Let w be g(17). Suppose -w*r = -2*f - 10, -5*f - 5*r = 2 + 3. Put f, -4, 12 in increasing order.\nAnswer: -4, f, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68 = 4*x - 116. Let d = 164377\/6 - 54699\/2. Is x > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 23, 16, 7 in decreasing order.\nAnswer: 23, 16, 7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 7.984342 - 117241.25?\nAnswer: -117233.265658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (0 - 13) + (-2 - -3) - (13 - 16)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6939858*g*h**2 + g*h - 2208534*g + h**2 wrt h?\nAnswer: 13879716*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) 102 (b) -5 (c) -0.08 (d) 2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -2\/505923?\nAnswer: -2\/505923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12646 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 398399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the third derivative of 47*x**4\/24 + 14*x**3\/3 - 2*x**2 + 14*x. What are the prime factors of y(6)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -13*j - 28. Calculate the lowest common multiple of 1 and t(-8).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -d**3 + 10 + d**2 + 3*d**2 - 5 to t + g*d + x*d**3 + l*d**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11036623 - -6593377. Round d to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/(a**(-8\/5)*a)*a)\/a)\/((a*((a**(-2\/11)\/a*a)\/a)\/a)\/a)*a**(-4)*a*a*a\/(a\/a**(-2\/19)))**(1\/3) assuming a is positive.\nAnswer: a**(584\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21710?\nAnswer: 2, 5, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -0.7 * -2451105\nAnswer: 1715773.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**8*d\/(d*d\/(d*d**(2\/9))*d)*d\/(d**(-3)*d)*d**(-9) assuming d is positive.\nAnswer: d**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 6243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -90*l**3 - l - 13 wrt l.\nAnswer: -540*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 2*l = -11 + 4, 0 = -3*s + 4*l - 7. Is -314*s*1\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000091288911 to 7 dps.\nAnswer: 0.0000913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -17*p. Let w(y) = -2181*y**2 - 2187*y**2 + 4380*y**2. What is b(w(k))?\nAnswer: -204*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 112935171 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 27.3 - 29. Let w = 2 + k. Let z = -1 - -3. Which is the second biggest value? (a) 0.5 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -269 = -3*t - 2*z, 6*t - 455 = t - 5*z. Suppose 51 = -2*g - t. Let m = -40 - g. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5820234.\nAnswer: 2, 3, 7, 138577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 2*n**2 + 14*n + 47. What is q(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j + 11 = 11*l, -4*l + 0*l + 5 = 47*j - 43*j + l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -6498, -6456, -6414?\n\"Answer: 42*q - 6540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(1*(-5)\/25*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 2*n. Let a(f) = -f + 1. Determine 3*a(s) + 2*w(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p = -5*p. Suppose 4*d + 9 - 21 = p. Suppose 4*x - 78 + 23 = 5*f, 49 = 3*x + 4*f. What is the highest common divisor of x and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -191 + 201. Calculate the remainder when (52\/6)\/(2\/9) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0879233 times 18.3?\nAnswer: -1.60899639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -z**3 + 6 + 4*z**2 - 5*z**2 - 5 to v + j*z**3 + l*z**2 + n*z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 114*s**2 - 36*s - 2 - 114*s**2 + 426*s**5 - 23*s wrt s?\nAnswer: 8520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 4998*z. Let d(n) = 2*n**2. What is d(p(c))?\nAnswer: 49960008*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r - 2. Suppose -50*m - 56 - 44 = 0. Let x(w) = 4*w - 7. Determine m*x(k) + 7*j(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 2*u**2 + 58*u - 398. What is a(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*c = 6*c - 30 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -10 at most as big as 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, h: 7, k: 4}. Give prob of picking 2 h and 1 s.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6)\/(-8)*56\/(-14). Which is bigger: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3088467216?\nAnswer: 2, 3, 21447689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6)\/4 + (-62)\/124. Let d be (-50)\/225 + k\/(-9). Solve -5*n + n + 20 = d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 21 = 3*t, -5*t - 6*h + h = -45. Find the third derivative of t*m**2 - 13*m**4 - 20*m**4 + 22*m**4 + 3*m**2 wrt m.\nAnswer: -264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r**3 - 7*r**2 - 3*r - 4. Let t be z(-6). Let a = t - -27. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -7*q**2 + 6*q - 6. Let l(k) = 195*k**2 - 169*k + 169. Calculate -169*j(s) - 6*l(s).\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -28097 - 58322 = 4994*y + 30305 - 1862 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, -691, 2\/2207?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -165, -234, -303, -372, -441?\n\"Answer: -69*y - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 25 - 35 - ((-12 - -7) + 43).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.371012257 to 3 dps.\nAnswer: -0.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = o - 27, 62 = -5*k - o + 143. Let r = -44 + 84. Calculate the least common multiple of r and k.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 11, -4, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 10, 26, 3 in ascending order.\nAnswer: -1, 3, 10, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 3, p: 17}. Give prob of sequence rr.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -21 - -18. Let s be 1*71 + (2 - c\/(-3)). Let i = s + -54. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -23639\/15 + 1575. Let k = a + 3\/5. Which is greater: 12 or k?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6672 divided by 3336?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-96 + (-97 - -183) - (1 - 3)) + -77\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1282592 times -0.1?\nAnswer: 128259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -x**3 - 8*x**2 - 8*x - 4. Let v be n(-8). What is the highest common divisor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.338 - 0.33803692. What is m rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (11 - (6 + -2))*(-4)\/(-14). Solve 11*x = 8*x + 9, -g*j = 4*x - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -22.2 + 19. Let w = 4.9 + d. Let p = -0.1 - w. What is p rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the second derivative of -g**4\/3 - g**3 + 4086*g. Let c(x) = -x - 7*x + 6*x. Determine c(u(t)).\nAnswer: 8*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 2*o = -0*o - 40, 0 = 5*v + 3*o - 15. What is the derivative of v*x - 11*x - 56 - 12*x wrt x?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.119991 times -0.579\nAnswer: -0.648474789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find i such that 3*i**2 - 36*i = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + t + 2)*(5*t**3 - 4*t**3 + 0*t**3) + 1394*t**3 - 2*t**4 + 2 - 1394*t**3.\nAnswer: -t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(700) - sqrt(700))**2 + 1.\nAnswer: 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sdddywvydwsywdydyddv. What is prob of picking 1 d, 2 w, and 1 v?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**2 + 5015*u + 477029. What is q(-97)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lud when three letters picked without replacement from {b: 1, h: 4, l: 4, u: 7, d: 3}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**3 - s**2 - 4. Give k(-4).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19365544.\nAnswer: 2, 11, 220063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 396, 0 in descending order.\nAnswer: 396, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 3, l: 4, q: 4, v: 8}. What is prob of sequence aala?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Total of 63.745 and 6.\nAnswer: 69.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 4472*q - 277275. What is a(62)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 88272, 88254, 88212, 88134, 88008, 87822?\nAnswer: 87564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 61*h - 79. Is 24 a factor of c(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 50369620.\nAnswer: 2, 5, 7, 359783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -42*t - 50. Let x(i) = 22*i + 29. Calculate -6*s(z) - 11*x(z).\nAnswer: 10*z - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 148 minutes before 8:35 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00909794309 rounded to seven decimal places?\nAnswer: 0.0090979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 + 5. Suppose s*c + n = 58, 0*c - 4*c - 5*n = -59. Suppose 2*x + c = -4*q + 65, -5*q = -5*x - 40. What is the highest common divisor of q and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*f**3 + 2*f + 3 - f**3 - 3*f**3 + 2*f**2 - 10*f - 5*f to k*f**2 + u*f + p + t*f**3 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1239)\/(-6) + (-2)\/(-4). Suppose -3*k - 345 + 621 = 0. Calculate the greatest common factor of k and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 73.847, -437, -1 in decreasing order.\nAnswer: 73.847, -1, -437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 33 = -4*d, -5 - 10 = -5*d + i. What is the remainder when 32 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y**5\/13 + 348*y**4\/13 + 14744*y**3\/13 - 2928*y**2 - 318208*y\/13 - 371712\/13 = 0. What is y?\nAnswer: -88, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.1 - 0.5. Let g = -6.1 + 6. Let s = g - i. Which is the second biggest value? (a) s (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -156*o + 292. Give k(1).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*d**5 - 6 - d**3 + 639*d**4 - 2*d - 639*d**4 wrt d.\nAnswer: -140*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.02 + -0.52. Let d = 82 + -67. Let o be ((-9)\/d)\/((-22)\/(-20)). Which is the nearest to o? (a) 5\/3 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:05 AM and 11:27 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (-7 - 12 - -6 - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13780 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2531 + 2531.1994. Round b to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*w + 50*w + 5*r = 121255, -4*w + 97009 = -r. What are the prime factors of w?\nAnswer: 2, 3, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -113410 divided by -4.\nAnswer: 56705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = 4*p - 5605396, 0 = 2*p + 41*s - 44*s - 2802698. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 234, 229, 222, 213, 202, 189?\n\"Answer: -r**2 - 2*r + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, -120\/29, 1\/3, 2\/5 in increasing order.\nAnswer: -5, -120\/29, -4, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, l: 7, h: 2, j: 7}. What is prob of picking 1 e and 1 h?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 203083627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2248 and 50664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the third derivative of 1\/4*v**4 + 0*v - 1\/6*v**3 + 0 + 1\/60*v**5 - 10*v**2. What are the prime factors of x(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**2 - 7*r + 2. Let o be n(7). Let x be 41 + 8 + 1 + o. Let i = x - 46. Calculate the least common multiple of i and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -2*b**3 + 4*b**2 + 34*b + 50. Let o be h(6). Let w = -1.8 - -0.8. Do o and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 131965003 to the power of 1\/2, to the nearest integer?\nAnswer: 11488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*-5*((3*(sqrt(91)*-3 + sqrt(91)))\/(sqrt(7) - (sqrt(567) - sqrt(567)*3)))**2.\nAnswer: -14040\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 86 and 62522?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 242 (b) -3\/8 (c) 0.25 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -89? (a) -1\/6 (b) 1 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -3*k**2 + 26*k + 14. Let m(p) = p**2 - 9*p - 5. Let y(z) = 17*m(z) + 6*r(z). Suppose -4*x + 15 = -a, -4*x - a + 6 = a. Give y(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 37*x**3 + 2*x**2 + 2*x. Let i(l) = -l**2 - l. Determine 2*i(j) + z(j).\nAnswer: 37*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + x = -315, 4*b - 3*x - 1583 = -b. Suppose 52*t - 55*t = -87. Calculate the highest common factor of b and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:28 AM and 10:38 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13584, -13929, -14248, -14529, -14760?\nAnswer: -14929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes before 7:53 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**2 + 19*r + 343. Let y be v(-31). What is the greatest common factor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 88235.849 - 88167. Let r = q - -0.151. Let y = -68 + r. Is -37 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -75 + 75 + 6\/(-16) + 45\/24?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*g**3 - 3*g**2 - 3*g**2 - 24*g**3 - 7*g**3 + 24*g**3.\nAnswer: -7*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1869, 3646, 5415, 7176, 8929, 10674?\n\"Answer: -4*g**2 + 1789*g + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 2*h**3 - 2*h**2 + 1. Suppose -5*o = 5, 44 + 72 = 4*y + 4*o. Suppose 0 = -i - 5*i + y. Let m be 1 + 15\/(-3) + i. Determine t(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 + 234\/(-143) + 13\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -84 + 132. Let x(u) = 20*u**2 - 8. Let p be x(-2). Calculate the greatest common divisor of p and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 - 4 + 2)*(0 - 1 + 2) + 7 + 0 - 2)*(2*o**3 - 2*o**2 + 2*o**2).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.2 + -0.3. Let t be -14 + -12 + 19 + (2 - 1). Which is the closest to 1\/3? (a) t (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3405*r + 1245*r + 1136 - 3*r**2 + 1178*r + r**2 + 1228*r wrt r.\nAnswer: -4*r + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 50, 3, 477 in ascending order.\nAnswer: -3, 3, 50, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8.885 - 0.015. Let b = -2.9 + k. Let d = b + 12. Sort -2, 0.1, d in descending order.\nAnswer: d, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 16212, 32422, 48632?\nAnswer: 64842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1209266 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78612 is divided by 19559?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 765 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + 2.97. Let s = i + 0.16. Let d = -2.87 - s. Which is the third smallest value? (a) 0.2 (b) -1\/10 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 110221122122 (base 3) in base 11?\nAnswer: 164565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1\/7, 3, 2142809 in increasing order.\nAnswer: -1\/7, 3, 5, 2142809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000021405712447 rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 7 = -u, 7 = -5*k + 2*u + 37. Let h = 4 - k. Let o = 0 - h. Solve 0*t + t + 2 = o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1134, 2\/3, -73?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/6)\/((-4)\/(-18))*134. Let k = 803 + h. Is k a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001101111 - 1111100?\nAnswer: -1011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 15 = 3. Let y be (t\/8)\/((-2)\/4). Let r(w) = -59*w + 1. Let k be r(y). Calculate the highest common divisor of 24 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, w: 9}. Give prob of picking 1 w and 1 j.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 736164 (base 15) in base 4?\nAnswer: 110323313011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -a**3 + 7*a**2 + 7*a + 8. Let y be n(8). Suppose y = -5*l - 338 + 1223. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -14*z**2. Let u(x) = 31*x - 62*x + 34*x. Determine u(i(p)).\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/1 + 1 + -5. Let p be (-6)\/(-5)*10\/c. Which is smaller: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 + 3*t**2 - 2*t - 10. Determine z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.05 (b) 21 (c) -1\/2 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -3*m**2 - m + 2. Let l(t) = -16*t**2 - 4*t + 10. Let w be 5\/(-10*1\/(-4)). Let g(b) = w*l(b) - 11*q(b). Calculate g(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2029, 3976, 5831, 7582, 9217, 10724?\nAnswer: 12091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5306283 millennia in centuries?\nAnswer: 5.306283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -3*z + 25, z + 0 = 4*o - 29. Suppose h - o - 6 = 0. Let d = 24 + h. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes before 8:16 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**2 - 1. Let h(p) = -10*p**2 - 4*p - 7. Let s(m) = h(m) - u(m). Find the second derivative of s(y) wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -73.61 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes after 9:15 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -42 - 39*a + 42 as l*a + m and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -80 - -93. Calculate the remainder when 101 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2739648 and 4451928.\nAnswer: 35615424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -189634*s - 149. Let o(n) = 3*n. Give a(o(k)).\nAnswer: -568902*k - 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is a0f8c - 16?\nAnswer: a0f76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, w: 1, g: 2, f: 1, v: 2}. Give prob of sequence cgw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -17 + 20. Suppose -4*s - t = 3*t - 28, 4*t = 8. Let u(j) = j**3 + 4*j**2 - 1. Let q be u(-2). Solve y*x - q = h, -2*x - s*h = -h + 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.50715 decades to months.\nAnswer: 420.858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is z in -35*z**3 + 113*z**2 - 21*z - 9 = 0?\nAnswer: -1\/5, 3\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 4729.228 milligrams to tonnes.\nAnswer: 0.000004729228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add -6.8 and 27240780.\nAnswer: 27240773.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5775698.\nAnswer: 2, 29, 99581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5784.334438 + -5777.345. Let b = -6.99 + t. What is b rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -421322 (base 5) in base 6?\nAnswer: -144350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 + 4. Let a(u) = -u**2 + u**2 - u**o. Let d(b) = -6*b**2. Give a(d(j)).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 + -2023?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12, 3, 44, 117, 228?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-16*v + 11*v + 6*v - 77)*(-1 + 5 - 3)*(-3 + 1 + 0) to t + p*v and give t.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 7652905501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 21 - 13. Let g = z + -11. Which is the second smallest value? (a) -5 (b) g (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:17 AM and 2:11 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*n - 2*y - 28, 5*n - 3*n = y + 18. Let u(o) = -14*o + 4*o**2 + 4 + 18*o - n*o - o**2 + o**3. Give u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -d - 500*d**3 - 2*d + 3*d.\nAnswer: -500*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 44701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 491.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w - h - 17 = 6*w, 0 = 5*h - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 566 + 0.02793604389?\nAnswer: 566.02793604389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*d + 2*d + d)*(3 - 3 - 1).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -42\/73 and -44\/5?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 4832984393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 130 + -73. Let u = 77 - r. Solve -13*l = -8*l + u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 5:51 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15*a + a - 9*a - a to the form k*a + j and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5425350 + -1423?\nAnswer: -5430103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 2373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 2+-129.71\nAnswer: -127.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:32 AM and 9:20 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be (12\/5)\/(5\/(900\/8)). Suppose -d = 4*m + 58. Is m\/(-3) - (1 + 6\/(-9)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 465 (b) 12 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 234 and 3159?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.2 and 1589?\nAnswer: 1588.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 10*c - 147. Let b be j(14). Sort -3, 3, -1, b.\nAnswer: b, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.003206668 rounded to four decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 115, 232, 349, 466, 583, 700?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 1, 2, -16, -11, -5, -37 in decreasing order.\nAnswer: 5, 2, 1, -5, -11, -16, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -5*s**3 - 6*s + 4. Let c(w) = w**3 + 7*w**2 + 17*w - 6. Let z(m) = m**3 + 3*m**2 + 8*m - 3. Let h(f) = -3*c(f) + 7*z(f). Determine 4*h(y) + 3*u(y).\nAnswer: y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f**3 - 171*f**2 + 120*f + 7092. What is u(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 1 = -3*o + 1, 3*k - 21 = -4*o. Calculate the remainder when 42 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence laka when four letters picked without replacement from {l: 6, a: 5, k: 4}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -6*o - 230. Let n be v(-35). Is (-2150)\/n*(-13)\/((-260)\/168) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (30823019*r - 30823019*r + 7297*r**2)*(r + 4*r - 3*r) as c*r**2 + y*r**3 + t + z*r and give y.\nAnswer: 14594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -55*n + 51*n. Solve -13 = -n*i - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 7680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 + 63 = 4*f. Let o be 2\/6 + -1 + (-39)\/9. Let s = o + f. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 24, 20, 43.\nAnswer: -2, 20, 24, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 3 (b) 0.1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5860, -11823, -17786, -23749, -29712?\nAnswer: -35675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*f - 9*f = f + 5*f + 13*y - 10, 2*f - y = 14 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 + 9 = -2*g + 2*q, 0 = -g + 4*q + 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -20, -47, -86, -131, -176?\n\"Answer: n**3 - 12*n**2 + 2*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1001859 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: 1.1 * 2.6236\nAnswer: 2.88596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 416 minutes before 7:11 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -348 (base 16) to base 12.\nAnswer: -5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and -4941051?\nAnswer: 1976420.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 606 and 1818.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 81*b**2 + 5*b - 22. Let f be j(6). Let i = f - 1138. What are the prime factors of i?\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(1188)*1*6)\/((sqrt(297)*1)\/(sqrt(33)\/sqrt(48))).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5, -2, 1, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 131391, 0, 5\/4, -13\/7, -1\/2?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bk when two letters picked without replacement from kbgbrobbbbgbkk?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**2 - 6. Let z be y(6). Suppose 2*p - v = -5*v + 88, p - z = 5*v. What is the remainder when p is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2\/5, -4, 2\/11, -77.1, 0.2?\nAnswer: -77.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*z**2 - 4*z**2 - 11308*z + 11308*z + 4*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 83696334 and 857?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 0, 1\/3, -142\/19, 2\/831, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {g: 2, m: 1, d: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -10*y**5 + 5*y**5 + 0*y - 2*y wrt y.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.48 + -0.0026572\nAnswer: -0.4826572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1213468075 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 37641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -12*j. Let s(t) = -13058*t - 13060*t + 26106*t. Calculate -8*g(y) + 6*s(y).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -13023 = -2625*w - 2138 + 15365 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -2497.825959 to the nearest ten.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -33, 2\/3, -4\/3 in ascending order.\nAnswer: -33, -4\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 21252402\/138 + -2 + 4\/46 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2940 + -47065\/16. Calculate the common denominator of w and 37\/252.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2919.5154 rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -32.05942 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 235056 divided by -68.\nAnswer: -58764\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 286980.\nAnswer: 2, 3, 5, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1796131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*v + 4 + 2*v**2 - 10*v - 41 to the form z*v**2 + m*v + h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 668 - 611. Calculate the remainder when 73 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence moo when three letters picked without replacement from {d: 6, m: 1, t: 2, o: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 2*f. Let n(p) be the first derivative of -31\/3*p**3 + 0*p + 0*p**2 - 28. What is l(n(s))?\nAnswer: -62*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25691057 + 14858393 = 222*x - 6981416. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sooosssoss. Give prob of picking 3 o.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put together -83736223 and -5807.23.\nAnswer: -83742030.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.2 - 3.2. Let m = -6 - h. Let u = -4.881 + -0.119. Which is the second biggest value? (a) u (b) -4\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 59*w - 4. Let q(k) = 60*k - 4. Let b(t) = -5*q(t) + 6*y(t). Let d be b(-4). Let l = 457 + d. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -248 and -255 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3 (b) -101 (c) -374079\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-154)\/440)\/((-14)\/48).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -583*k**6 - 46*k - 52*k + 327*k + k**2 - 571*k**6 wrt k?\nAnswer: -138480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.047 + 23.253. Let g = -25 + b. Let x = 1.74 + g. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = 5*k - 3*a - 515, -118 = -k - 2*a. Let w be (k\/30)\/(2\/(-5)). Let b be w\/(-4) - 15\/60. Solve 16 = 4*r - 4*c, -r - b*c + 4 = -4*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11002 - 10975. Let h = 4 - -15. What is the remainder when m is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 393 - 2352 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -15, 4, 157351 in decreasing order.\nAnswer: 157351, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 641264848 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: Calculate the greatest common divisor of 6468892 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 158 or -2.1186?\nAnswer: -2.1186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x - 8 = -2*m - 3*m - 1, -5*x - 6*m - 26 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 1 = -6. Let a be (-3)\/(-9) + (-4)\/3. Is k smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-24)\/f)\/(f*f**(-2\/9)))\/(f**(2\/7)\/(f\/(f*f**(-1\/14)*f))) assuming f is positive.\nAnswer: f**(-3401\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 2995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 52 - 52. Suppose 3*a = s + 74, b*a + 3*s = 4*a - 97. What is the lowest common multiple of 1 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 57752 - 309390 = 2677*n for n.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -170, -290, -432, -608, -830, -1110, -1460?\nAnswer: -1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b + 17 - 97. Suppose -2*z - b = -7*z. Solve z + 6 = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) 2 (c) 0.17 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i**2 + 5*i - 3. Let h be j(5). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/89 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) -1375 (c) 9 (d) -1.735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12187 in -57, -10, -0.3, 5\/4?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrsrrrs. Give prob of picking 1 s and 1 r.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -21554 (base 6) in base 5?\nAnswer: -44042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - g + 1042 = 2*b, -6 = -3*g. Let s = 282 + -419. Let u = b + s. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -70914 - -18083167\/255. What is the common denominator of f and -55\/1632?\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*i - 1803786 - 2479983 = 1464547. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*f, 2*h - 5*h + 5*f = 10. Suppose -3*t + 6*t = -3*r + 384, -3*r - 2*t + 383 = h. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -83\/101 - -181939\/219675. Find the common denominator of 131\/24 and w.\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -3, 16, -5, -1.\nAnswer: -5, -3, -1, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 16779 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 656*l - 656*l - 120 + 120 + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2497651?\nAnswer: 13, 14779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/1854 and 13\/6.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 51\/55 and (-52)\/(-234) - (-2)\/(145728\/(-18010)).\nAnswer: 20240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (4 - 1)*3\/(-9). Let l = -1 + p. Let k be (l + 9)*(-6)\/(-7). Solve k*t - t = -20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52197 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**2 - a. Let q(r) = -12*r**2 - 8*r. Let d(m) = q(m) - 8*z(m). Let s(f) = 3*f**2. What is d(s(b))?\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2731?\nAnswer: 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 555 and 7143?\nAnswer: 1321455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -2, 2*t - 1 = p - 2. Let l = 9\/16 + -21\/208. Is l smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9840 and 344589420?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 + 0 - -5) + (-13 - -7) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -3969, -7929, -11869, -15789, -19689?\n\"Answer: 10*j**2 - 3990*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.2, 2.3, -4, 131\/3, 0, -9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -720 divided by -3.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of f*i*o**2*y + f*i*o**2 + 2*f*i - 4260*f*o**2 - 6*i*o*y - i*y - 62*i - 2*o*y wrt o.\nAnswer: 2*f*i*y + 2*f*i - 8520*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 281bbd (base 14) to base 11\nAnswer: 868948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 507699*c**4 - c**2 - 739110*c.\nAnswer: 6092388*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2 - -6*(-16)\/54. Suppose -65*v + 603*v - 1614 = 0. Factor 0 + 0*b**v + 0*b + 2\/9*b**2 - q*b**4.\nAnswer: -2*b**2*(b - 1)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + -1 + sqrt(1331)*-4 + (sqrt(11) - (sqrt(11) + (sqrt(11) - sqrt(176)) + 0) - (1 + sqrt(11) + 3)))**2.\nAnswer: 84*sqrt(11) + 19405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4377.\nAnswer: 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be 15*4\/12*1. Suppose -f + s*f = -2*a - 26, -3*a + 4*f = 29. Does 5 divide ((-12)\/(-3))\/(-4) - a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (-31 - -30)\/(4\/(-25))*1956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(1\/7)*(k*k\/(k*k\/(k\/k**(2\/21))*k*k)*k)\/k)**(2\/5) assuming k is positive.\nAnswer: k**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1536) - ((sqrt(1536) - (sqrt(1536)*2 + sqrt(1536))) + sqrt(1536)))\/(sqrt(32)\/sqrt(64)))**2.\nAnswer: 12288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -5, -344.7, 3\/5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 + 8. Let q be 2*(4\/(-6) - -1). Sort -3, q, k in increasing order.\nAnswer: -3, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3532.\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*a**4 + 30*a**2 + 40*a + 15.\nAnswer: -5*(a - 3)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2289490 is divided by 1018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3132 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: Let c(p) = -p - 1. Let i(r) = 7*r + 6. Let n(s) = 6*c(s) + i(s). Suppose 10*a = -7 - 3. Let x(o) = 3 - 2 - 1 - 2. What is a*x(y) + n(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 42313004 (base 5) to base 7\nAnswer: 3003306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-170)\/(-18) - 5698\/(-3663)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*y**3 - 4*y**3 - 3*y**3 - 2*y**3 - 2*y**3 - 5*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -31534, -252183, -851096, -2017405, -3940242, -6808739, -10812028?\n\"Answer: -31522*y**3 + 5*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 321370, 1285531, 2892466, 5142175, 8034658, 11569915, 15747946?\n\"Answer: 321387*z**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 4*m**4 + m**3 - m**2 + 1. Let j(o) = -9*o**5 - 154*o**4 + 511*o**3 - 481*o**2 + 175*o - 17. Let g(k) = 15*c(k) - 3*j(k). Solve g(r) = 0 for r.\nAnswer: -22, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -49\/395 and 25\/7?\nAnswer: 2765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the second derivative of p**5\/60 + 2*p**4 + 96*p**3 + 2304*p**2 + p - 138. Suppose l(x) = 0. Calculate x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4613 and 3295.\nAnswer: 23065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -157\/374400 and -121\/34560?\nAnswer: 2246400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be (((-189)\/18 + 10)*0)\/1. Solve b = -9*k - 2 - 25 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 108\/98179 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/4 and -47\/49058678?\nAnswer: 98117356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 PM and 6:36 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(2) + sqrt(72) + -3 + -3 - (((sqrt(24) + (sqrt(48)\/sqrt(2) - sqrt(24)))\/sqrt(12) - ((sqrt(20)*-2)\/sqrt(10) + sqrt(2))) + -4))**2.\nAnswer: -10*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 e when three letters picked without replacement from xxxeeeee?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-41)\/3)\/((-3)\/99)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -216 + 255 + -6 + 9 + 24.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -216, -196, -176, -156, -136, -116?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -2, 4\/5, -254, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 39576 = -13*c. Let x = -3327 - c. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 182718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 89627\nAnswer: -2\/89627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 2662\/6 - (-7 - 85\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-30)\/3)\/(6*12\/(-36))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fofo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/23 in -0.032, 0.3, -0.5, 0.4?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (6\/435)\/((-156)\/(-1170))\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 2, j: 1, h: 7, m: 4}. What is prob of picking 1 j and 2 h?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = -403 - -230. Suppose -3*v - 5*c = 787, -3*v - 2*c + 3*c - 793 = 0. Let r = g - v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from {u: 3, i: 1, l: 2, c: 1, a: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (31\/((-2790)\/162))\/((-2)\/(-10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 12304.68 years to millennia.\nAnswer: 12.30468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -550, -2238, -5052, -8992, -14058?\nAnswer: -20250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add together -4 and 31206348337.\nAnswer: 31206348333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is l in 8\/5*l**2 + 12\/5*l**3 + 0*l + 0 + 4\/5*l**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffz. Give prob of sequence zf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16908 - 4629*x - 16908 to the form n*x + q and give n.\nAnswer: -4629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1818373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = p, 4*p + 11 = m + 6*p. Suppose m*y - 5*j - 18 - 292 = 0, -2*j - 65 = -y. Let w = 64 - y. Solve -w*f = -4*a - 41, 0*a + 3*a = 3*f - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/27 not equal to -7412829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (31\/1)\/(42\/(2730\/(-65))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the second derivative of j**6\/30 - 2*j**3\/3 - 5*j. What is the second derivative of k(c) wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the second derivative of -10*q**8 - 199*q**4\/3 + 8*q - 2. What is the third derivative of s(y) wrt y?\nAnswer: -67200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.31204758 - -0.5.\nAnswer: -0.81204758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -31*s**3 - 7*s**2 - 9*s - 1. Give w(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-77000)\/(-11) + -3 + 15\/3 + -1 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3019 or 637140\/211?\nAnswer: 637140\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 342 - 335. Let n(t) = -2*t**3 + 6*t**2 - 12. Let f(j) = -2*j**3 + 7*j**2 - 13. Give m*n(b) - 6*f(b).\nAnswer: -2*b**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2246*k + 1975*k = 14634 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 988 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -591 + 607. Sort -11, -5, s in increasing order.\nAnswer: -11, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 487 - 409. Is h < 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q**2\/5 + 294*q\/5 + 297\/5 = 0. Calculate q.\nAnswer: -1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be (5 - 11)\/(-3) + 0. Solve -2*h + 9 + 7 = -2*o, x*o + 4*h = 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-4\/13)\/t)\/t)\/(t**(2\/39)*t) assuming t is positive.\nAnswer: t**(-131\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -29*v**2 - 21*v. Let y(u) = -28*u**2 - 22*u. Let a(l) = 5*m(l) - 6*y(l). Find the second derivative of a(b) wrt b.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**3 + 39*q**2 + 225*q - 27. Give g(-32).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 - 4 - 1)*(3 - 7 + 1)*(606*k + 34 - 32 + 60*k).\nAnswer: -3996*k - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -4*i + 3*i. Suppose -3*c - 20 = -7*c - 3*a, 3*a - i = 0. Let k(x) = -c*x + x + 4 + 2*x. Determine k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1130 divided by -5?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -109?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express ((0 + 0 + 2)*(-3 - 3 + 5) - 3 + 2 - 1)*(-52 - 4*f + 52)*(4 + 1 - 6 - f) as a*f + x*f**2 + q and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -908 = 15*w + 2557. Let z = w - -268. Let u(x) = 9*x**3 - 2*x + 2. Calculate the remainder when u(2) is divided by z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 269 and -3?\nAnswer: -807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Are 11490\/13 and 885 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -14*p**3 + 135*p**2 + 146*p + 11. Give m(11).\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93*i + 174*i = 0. Solve i = -1222*q + 1229*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 1.8 (b) 2 (c) 3 (d) -2 (e) 22.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes before 11:00 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that 2*h**4 - 6*h**3 - 20*h**2 = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {l: 2, e: 2, x: 3, m: 3, q: 5}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a**3 - 60*a**2 + 183*a - 372. Let d be f(-63). Solve d*o = 4*c - 22, 0*o + 3*c = 5*o + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34270559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.134 and 0.04914399.\nAnswer: 0.18314399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 100196 is divided by 2051?\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24\/1320*385\/(-70).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the first derivative of 5*i**3\/3 + 2*i**2 + 2*i + 6. Calculate k(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11 - 11.8. Let u = y - -4.8. Let r = 4.0000001 - u. Round r to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**2\/19 + 22*t\/19 - 52\/19.\nAnswer: 2*(t - 2)*(t + 13)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 5*w + 2 - 6*w**2 + 27*w**2 - 12*w**2 - 10*w**2. Give x(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the first derivative of -276*r**3 + 233*r**2\/2 - 1730. What is the second derivative of h(o) wrt o?\nAnswer: -1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -2303, 1 in increasing order.\nAnswer: -2303, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 4*c = 8*o - 49, 4*o - 26 = c. Solve 5*p = 6 - 31, o*f - p = 25 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -658 = d + 3*k, 5*d + 1313 = 3*d - 3*k. Let n = d + 654. Let h = -45\/4 + 413\/36. Sort 0.3, n, 2, h.\nAnswer: n, h, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w**2 - 4*w + 6. Let v be o(3). Let b = v - -16. What is the first derivative of -3*s - 3*s**2 + 3*s + b + 3 wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -263.2 + 207.28. Let f = j - -56. Let k = -115\/2 + 56. Which is the second smallest value? (a) f (b) -1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 34 - 31. Let g = 267 - a. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 531\/139 + -7783145\/2037323. Let w = l - -1333803\/117256. What is the common denominator of w and (4\/(-6))\/((-12)\/(-621))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the third derivative of j**4\/24 - 3*j**2. Let w(u) = -3*u - 1 + 4*u + 1. Let a(c) = -2*c. Let g(k) = 6*a(k) + 15*w(k). Give g(r(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 8 = -3*p. Let c(m) = -2*m - 10. Give c(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1110001001001 - -1?\nAnswer: 1110001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*r + 0*r + 8*r - 5*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -102.5 less than -479?\nAnswer: -376.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(117) + (2*sqrt(117) - sqrt(117)))**2 + -2 + 5 + -2 + -3)*3.\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85 = 4*k + 5. Let t = 7 - k. Let j = 92 + t. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 446325 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 2*s = 0. Suppose -21 = -5*g + f, 4*f + 13 = 2*g - f. Suppose -r + 0*r = -g. Solve 2*b + r + 2 = s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -2*u**2 - 1596342*u - 7. Calculate x(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -101, -7, 77, 145, 191, 209, 193?\n\"Answer: -y**3 + y**2 + 98*y - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*z - 71 = 309. Suppose -b - 16 = b. Let k = z + b. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -8*f + 252. Let s = f + -10. Suppose -5*h + 164 = 3*u, 2*h - 2 = 3*u + 51. Calculate the remainder when h is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**5 - 590*u**2 + 901*u - 682*u - 206*u**3 - 400 + 5*u**5 - u**5 + 777*u + 198*u**4.\nAnswer: 2*(u - 1)**3*(u + 2)*(u + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the second derivative of -211*d**4\/4 + 281*d**3\/3 + 948*d. Find the second derivative of y(z) wrt z.\nAnswer: -1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(5 + -3*(3 + sqrt(1300) + sqrt(1300)) + -3 + -6*((4 + sqrt(1300) - sqrt(1300)) + sqrt(1300)))**2.\nAnswer: -376322 - 14880*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the third derivative of -q**8\/3360 - q**7\/1260 - q**4\/24 + q**2. Let m(b) be the second derivative of r(b). Factor m(c).\nAnswer: -2*c**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is t in -5*t**4 + 5055*t**3 - 89670*t**2 + 296900*t + 993000 = 0?\nAnswer: -2, 10, 993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 4*g + 20, 4*v + 3*g + 2*g + 12 = 0. Solve -v*y = -y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 191 - 6 = 0. Let n(y) = -y**3 + 4*y**2 + 6*y + 5. What is the remainder when k is divided by n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*((q\/q**17)\/q*q)\/q)\/(q\/(q*(q\/(q\/q**8))\/q))*(q*q**(-10\/3))\/((q*(q**(-24)*q)\/q)\/q*q*q*q) assuming q is positive.\nAnswer: q**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -947 + 6618\/7. Calculate the common denominator of x and -5\/37.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 19*m - 272. Let a(f) = f**3 - 3*f**2 + 2*f - 3. Let g be a(3). Find the first derivative of -37 - g*w + 52 + 5*w - m*w wrt w.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -40 + 13 + (-133 - -29) + -17 + -3?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -53*z**2 + 4. Let r(p) = 105*p**2 - 9. Let w(s) = 9*n(s) + 4*r(s). Let t(m) = m**2. Let g(u) = u**2. Let c(k) = -2*g(k) + t(k). What is c(w(f))?\nAnswer: -3249*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**3 + 9*a**2 - 3*a + 10. Calculate i(-10).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fgwwggfgffggggggfggg. What is prob of sequence wgw?\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = 137 - 134. Suppose 0 = 5*t + 3*x - 544, i*t + 3*x = 326 - 2. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.012183 to 4 dps.\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0 - -27) + (-2 - 2). Suppose 5*c - y = 22. Calculate the lowest common multiple of c and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 94277 is divided by 3612?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1c4 (base 15) in base 6?\nAnswer: -1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the second derivative of l**4\/3 - 4*l**3\/3 - 6*l**2 - 19*l. Find n, given that s(n) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -91 - -147. Suppose 2*u + 4*a = 28, 2*u - 3*a + 4 = -3. Let r be (66\/u - (-6)\/(-4)) + -1. Calculate the highest common factor of o and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -344 (base 10) in base 8?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 18? (a) -4 (b) 1 (c) 3 (d) 0.3 (e) -4\/5 (f) 296\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + 17 + -12 + -7 - -16.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (42\/(-189))\/(15\/(-27))*5. What is the nearest to f in 1\/2, -5, 1, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h - 3*h = -2*h. Suppose h = 14*i - 7*i - 9779. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 10 = 6, 3*y = -d - 12. Let x be d + -3 + 1*7. Suppose -9 = -3*j - 0. Solve -j*c - 2 = -x*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2945)\/(-5985) - (-2)\/9. Which is the closest to 2\/5? (a) x (b) -4 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a = -n + 3, 5*a + 15 + 20 = -3*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - (-2 + -8)) + -24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 + -4. Let z = 2 - 1.7. What is the closest to n in 0.2, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -16 - -36. Suppose 2*k + 188 = 2*u - 0*k, -h = 4*k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(-18) + 1\/30. Let g(j) be the first derivative of 0*j**4 + 0*j**3 + 1 + 1\/2*j**2 + 0*j + i*j**5. What is the second derivative of g(m) wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -5*u - 5, z - u - 2 = 8. What are the prime factors of (z - 2)\/(-4 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -12*c**2 + c + 1. Suppose -p - 20 = -2*d - 25, 3*p - 9 = 0. Give i(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 57333951 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 29\/2 of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -49 + 41. Let u(l) = -56*l - 9. Is u(f) 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 43 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*g - 16 + 0*g - 60 - 27.\nAnswer: 2*g - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -576, 10244, 32454, 66054, 111044, 167424, 235194?\n\"Answer: 5695*a**2 - 6265*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.57 + -0.03. Let b = 0.4 - l. Let v = -0.9 + b. What is v rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-24)\/36)\/((-110)\/15)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 20 and 3550.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22855*v + 22844*v + 11 = 0. Put -11, 2, 3, 16, v in descending order.\nAnswer: 16, 3, 2, v, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -1854420 - -692998434\nAnswer: 691144014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8537\/996 + -82\/83. Let l = 153 - 6. Find the common denominator of q and (l\/54)\/7*(-234)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*v - 2*v + 0*v)*(-6*v**2 + 0*v**2 - 3*v**2) as n + a*v + z*v**2 + w*v**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/18126632 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the first derivative of -4*t**3 - 13. Let j(f) = 4*f - f - 2*f. What is b(j(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 2*t - 40 = 0, 0*t = -h - t - 1. Let r = 60 + 51. Is (r\/h)\/((-1)\/14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (40\/(-150))\/((-36)\/(-15)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 2446020, 9784136, 22014330, 39136602, 61150952?\n\"Answer: 2446039*x**2 - x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 26 = 4*t, -4*f + 2 = -2*f - 2*t. Suppose 0 = -3*i - 2 + 5. Suppose -i + 9 = 4*r. Solve 0 = -r*v + 4*w - 10, f*w = -v + 4*w + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 3 z when four letters picked without replacement from {n: 2, z: 5, o: 2, t: 1, e: 1, j: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.21 - 1.79. Which is the nearest to -1\/2? (a) -7 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17338 is divided by 79?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mnnm when four letters picked without replacement from mnmn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 1 = -3*y, -y + 4*t = 9*t + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the second derivative of 1\/10*c**3 + 0*c**6 - 1\/25*c**5 + 1\/210*c**7 - 1\/30*c**4 + 0 + 52*c + 1\/5*c**2. Let s(u) = 0. Calculate u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -17*d + d**2 + d**3 - 4*d**2 + 4 - 4*d - 5 wrt d?\nAnswer: 6*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**2 + 10*x - 13. What is the units digit of m(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*t - 0*t. Let z(h) = h**2 + 8*h + 15. Let a be z(-5). Suppose 3*f + t*f - 120 = a. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1281989639 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 414 a factor of 27324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 6076063 (base 9) in base 4?\nAnswer: 30112301130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7\/(-6)*(-2788)\/(-14637).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*u = -318 - 578. What is the remainder when 287 is divided by u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -0.04 (b) -65\/6 (c) -192 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -205*y + 9287 = -75*y + 121*y for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.2 + -0.3. Let v = d - 0. Let w(s) = -3*s**3 + 80*s**2 + 25*s + 53. Let q be w(27). Which is the second smallest value? (a) q (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4778 is divided by 4547?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 31513*u**4 + 12*u**3 - 124761?\nAnswer: 126052*u**3 + 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 91 + 14. Let u = 23 + 12. What is the highest common factor of u and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 64*m - 10 + 140 + 126 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**2\/11 - 22456*b\/11 + 269184\/11.\nAnswer: 2*(b - 11216)*(b - 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16)\/(-10)*(-135)\/252*-7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f - 46*f + 208 = 0. Solve 0 = -3*k - 4*s + s - 18, -f*s + 4 = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*o + 1381 = -1229. What is the remainder when 147 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -339\/26104 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/85887651 and -87\/2.\nAnswer: 171775302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the second derivative of -3*f**5\/20 - 3*f**4\/8 + 11*f**3\/4 + 9*f**2\/2 - 2*f - 2. Factor h(s).\nAnswer: -3*(s - 2)*(s + 3)*(2*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1154 (base 6) to base 7\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.73 in -360, 0.4, -1\/3, -25?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 9, l: 7}. What is prob of picking 1 l and 2 q?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 208 = 4*g, -19 + 243 = -2*x + 4*g. Let r be 4*(-147)\/x - 5. Factor -16\/9 + r*m**2 - 8\/9*m + 2\/9*m**3.\nAnswer: 2*(m - 2)*(m + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - -2 - (-5 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dyxx when four letters picked without replacement from xtdyxxxdttyxyxx?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that -2738*v**5\/11 + 310800*v**4\/11 - 11043996*v**3\/11 + 115536760*v**2\/11 + 58185342*v\/11 + 7157160\/11 = 0.\nAnswer: -9\/37, 20, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**4 + 11*n**3 - 31*n**2 + 21*n.\nAnswer: -n*(n - 7)*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9012 or 8879?\nAnswer: 8879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the third derivative of -1\/96*n**6 + 9*n + 0 + 5\/6*n**3 - n**2 + 11\/48*n**5 + 5\/1344*n**8 - 5\/8*n**4 - 1\/56*n**7. Factor b(j).\nAnswer: 5*(j - 2)*(j - 1)**3*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 + 319698?\nAnswer: 31969c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6516593*x**2 - 8609920.\nAnswer: 13033186*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 + 2 - 4) + (1 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(1\/11))**(-3\/8)*w*(w*w**(-12)*w)\/w*(w*(w*w**(-22))\/w)\/w assuming w is positive.\nAnswer: w**(-1423\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**2 - 10*a - 10. Suppose 4*c = 4*u - 1332, u - 335 = c - 2*u. Let f = -340 - c. What is j(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, f: 6}. Give prob of picking 2 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 79.25943 hours?\nAnswer: 285333.948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -31 + 100. List the prime factors of q.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {r: 1, y: 2, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/322 and 19\/6?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 21\/5 of a century?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2333 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**3 + 28*m**2 - m - 26. Let w be v(-28). Let x be -1*(-3)\/(9\/(-15)). Which is the closest to w? (a) 5 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7895 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qbbqqqeqbbmbqqb. What is prob of sequence eq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -8 - -297?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3545 is divided by 1172?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be -41 + 18 + 62 + -35. Let z(u) = -6 + 5*u + 0 - 3*u. Calculate z(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t**3 + 4*t**2 - 5*t + 4. Suppose -1 = -m + 2. Let a be i(m). Let g(k) = 3*k**2 + 3*k. Let u be g(a). Solve -u*v + v = 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -5 - 6*o + 4*o + 0*o. Let i be t(-5). Suppose 2*k = -6, 5*k + 12 = 2*q + k. Solve i*n = 2*c - 25, 0 = -4*c - q*c - 4*n - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -66 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2420, 4839, 7258, 9677?\nAnswer: 12096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + -13 + (1 - -4) - 2 - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 4*y**4 + 4*y + 24*y - 36*y - 5*y**2 - 2 + 8*y**3 in the form n*y**3 + a*y + g*y**2 + i*y**4 + p and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 41\/2 of a meter in millimeters?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1809596294.\nAnswer: 2, 11, 31, 1087, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50235*u - 1311379*u - 1568175*u.\nAnswer: -2829319*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + (-4 + 3 + 7 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d**3 + 4*d**2 + 11*d - 13. Determine t(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 4 = -7*m. Let g(v) = -v + 8. Let f be g(12). Sort f, m, 2 in ascending order.\nAnswer: f, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, 910, 1\/3?\nAnswer: 910","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 613 by 13921.\nAnswer: 613\/13921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 4, -121 in ascending order.\nAnswer: -121, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -89*g**6 - 829*g**2?\nAnswer: -10680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + p = 0. Suppose -5*i + 64 + 21 = p. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the third derivative of f**8\/336 - f**4\/12 + f**2. What is the second derivative of i(h) wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*v**3\/7 + 1777094*v**2\/7.\nAnswer: -2*v**2*(v - 888547)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 64 + 5?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let 9\/2*w**4 + 0 + 0*w + 27\/2*w**3 + 27\/2*w**2 + 1\/2*w**5 = 0. What is w?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 + 8. Calculate the greatest common divisor of 36 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1546122.\nAnswer: 2, 3, 257687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2*194540445.\nAnswer: -38908089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -167110000 to the nearest 1000000.\nAnswer: -167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*f**4 - 3*f**4 + 4*f**4 + 1 + 3*f**2 + 0*f**4 to the form x + s*f**4 + d*f**2 + g*f**3 + a*f and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -3*g**2. Let p(c) = -341*c - 1932 + 969 + 963. Give p(a(r)).\nAnswer: 1023*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y = 5*c - 5*y + 1, c = -2*y + 7. Let f = c + 6. Suppose f*p = 164 - 4. What is the highest common factor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b - 2. Let j be ((-1)\/(-2))\/(6\/(-60)). Let n be z(j). Suppose 3*q - n = 0, -q = -4*h + h - 19500001. Round h to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -65*r + 1669. Let x be a(25). Suppose w - d = 39, -w - w - 4*d + 108 = 0. Calculate the highest common factor of w and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*x**2 - 13*x**3 + 4*x**3 + 2*x**4 + 7*x**3.\nAnswer: 2*x**2*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2945599\/75 - -39274. Let d = 334\/675 - a. What is the common denominator of 115\/18 and d?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3122 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16144677.\nAnswer: 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**2\/3 + 298*p\/3 + 604\/3.\nAnswer: -2*(p - 151)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 6*q - 4*z = 0, q = -4*z + 25. Suppose -3*x + q*y + 12 = 0, -5*x + 8*y - 3*y + 10 = 0. List the prime factors of x - 3 - (-6 + -26).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2.88 - 2.8. Let w = 24 + -24.48. Let m = l + w. Which is the third smallest value? (a) m (b) -2\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.217 in 3, -19.1, -1\/9, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1449 and -82846.\nAnswer: 120043854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -410*a**2 - 489*a**2 + 311 + 2*a - 51*a**2 wrt a?\nAnswer: -1900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00182253131 rounded to 7 decimal places?\nAnswer: -0.0018225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 5*y - 3*y + 1545 - 1541 + y**2 as t*y**2 + g + u*y and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + k - 4. Suppose 12 = k*z + 2*v, -10 + 2 = -3*z + 2*v. Suppose 0 = -5*b - 3 + 8. Solve g - b = -z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -36*y + 72*y - 33*y + 40*y**2 in the form r + k*y**2 + q*y and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.03350267845 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 0*r = 4*j - 12, -5*j + 34 = r. What is the remainder when 11 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34860\/66150 - (-10)\/225.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f - 8. Suppose w = -w + 16. Let p be t(w). Let a be p\/(3*(-4)\/12). Solve -m = -a*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 85468443 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(-2\/39)*v)\/(v\/(v*v**(-13)\/v)) assuming v is positive.\nAnswer: v**(-466\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -12800219 (base 10) to base 8\nAnswer: -60650333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -849858.73 to the nearest 10000.\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -41*m - 197*m + 209 - 209 in the form t + a*m and give a.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**3 - 15*r**2 - 12*r - 2. Let b be u(16). Suppose -q - 65 = -3*j - 9, -4*q = -3*j + b. Calculate the smallest common multiple of 2 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -2*k**3\/9 - 2308*k**2\/3 + 7712*k - 111104\/9 = 0.\nAnswer: -3472, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11*(-22)\/(-121))\/(8\/(-1))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -3391, 3, -3 in descending order.\nAnswer: 3, -1, -3, -3391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2500 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -20*j - 3. Determine w(3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 34966.01 centuries in millennia?\nAnswer: 3496.601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3977656801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -107532 divided by -4.\nAnswer: 26883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -4*o**2 - 7*o + 2916. Let n(g) = 4*g**2. Give r(n(h)).\nAnswer: -64*h**4 - 28*h**2 + 2916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -6978*v - 149494 + 441697 + 245103 = 0 for v.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 37793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 6 + 2. Let m = j - 4. Let f = -0.006 + -0.294. Which is the smallest value? (a) f (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence he when two letters picked without replacement from hxues?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the second derivative of i**4\/3 + i**3\/2 + i. Suppose 5*c = 21*c - 176. Let n(y) = c*y**2 + 20*y - 6*y - 5*y. Calculate -3*n(q) + 8*p(q).\nAnswer: -q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 21309 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that -2*f**2\/11 - 19302*f\/11 - 46361596\/11 = 0.\nAnswer: -5149, -4502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 50 + (-1 - 9) + (4 - 5) + (-15 - -6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kbb when three letters picked without replacement from kbbbkbkkbkkk.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sum 119994 and 0.4.\nAnswer: 119994.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 385, -30121, -5?\nAnswer: -30121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:54 PM and 8:34 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -2*n**2. Let y be (-1 - -2) + (-6)\/(-2). Let r(f) = y*f**2 - 5*f**2 - 2*f**2 + 0*f**2. Determine r(p(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**2 - 8*g + 6. Let i be (-2)\/8 - (-145)\/20. Let u be h(i). Find the common denominator of (123\/21 - u)*-1 and -11\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -21315 + -2333?\nAnswer: -24052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31872936?\nAnswer: 2, 3, 127, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 66\/1193 greater than or equal to -1367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -17*d**3 + 5*d**2 + d. Let a be ((-8)\/(-12))\/((-8)\/132). Let m(s) = -6*s**3 + 2*s**2. Let q(o) = a*m(o) + 4*c(o). What is n in q(n) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**8\/g)\/(g**3*g))\/(g**(4\/5)*(g*g\/(g\/g**(-1)))\/g)*(g\/(g**(1\/4)\/g))**(-2\/135)\/((g*g**(1\/5)*g)\/g*(g**(1\/5)\/g*g*g)\/g*g) assuming g is positive.\nAnswer: g**(209\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.96 - 3.14. Let m = c + -0.9. Sort 2\/7, 2, m.\nAnswer: m, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4024 - -241244?\nAnswer: 233220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3023?\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**3 - 9*c**2 + 10*c - 11. Let v be b(8). Suppose 11 = v*i - 39. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 0*c - 4 + 2*c + c**2 - c + 7. Calculate r(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*h + 6*h + 4*h)*(-56*h**3 - 11*h**3 + 3*h**3).\nAnswer: -384*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {o: 1, w: 1, v: 3, k: 5, z: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-19)\/19*187\/(-44).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 188\/1995 + -18\/95. Let g = -41 + 42. What is the third smallest value in f, g, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-470400)\/11466 + (-3)\/(-117)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*(-9)\/(-6)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z when two letters picked without replacement from uzzuzzzzuz?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**3 - 3*m**2 - m - 1. Let g(v) = v + 5. Let s be g(0). Let a be s + -8 - (1 - 8). Give f(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31 divided by 79445.\nAnswer: 31\/79445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 20*p - 1. Let f(a) = -20*a - 1. Let v(d) = -6*f(d) - 5*t(d). What is the derivative of v(k) wrt k?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*x**2 + 938*x + 11 - 4*x**2 + x**2 - 2869*x.\nAnswer: -x**2 - 1931*x + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -1412*q + 312701. Is l(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 277193720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 - -9. Let s = -0.27 + 0.17. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37111204700 - 1.4?\nAnswer: 37111204698.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/31 (b) 15580 (c) 2\/13 (d) -0.5 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-9000)\/(-432) - (-2)\/4 and -58\/1005?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 464*i**2 + 486*i**2 - 964*i**2.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 8 - 4)*(-1 + 1 - l**3).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 62 + -74.7. Let z = u - -12.5. What is the nearest to z in -1\/8, 0, 0.04?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3941 + -3936. What is the third smallest value in b, -4.4, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/99*(-96)\/64.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -931, -7097, -23829, -56413, -110135, -190281, -302137?\nAnswer: -450989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 29923 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s + 2*s - 155 = 5*c, 5*c + 3*s + 157 = 0. List the prime factors of c\/2*(-1958)\/44.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - (-2)\/(-7))*700\/500?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nd when two letters picked without replacement from epodoopnwppn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -66, 4, -17, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6880 and 3225?\nAnswer: 103200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the first derivative of 10*h - 3\/2*h**2 - 15. What are the prime factors of s(-8)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + y + 58 = 0, y + 50 = -3*v + 2*y. Let i = 20 + v. Solve -2 = 2*j - 3*p + 9, 0 = i*j - p + 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 190\/(-6) + (-1)\/3. Let i be (33\/12)\/((-4)\/s). Solve 12 = -3*p, 0*x + 5*p + i = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*c - 26*c = 200 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 3*a**2 + 46*a - 2 + 10 + 10. Let g be w(-15). Solve -2*i - k = 3*i - 15, 5 = 5*i + g*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1199\/16 + 75. Is 0 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**2 + 5*z. Let b be k(6). Let x = -2 - b. Let c(g) = g**3 - 2*g**2 + 2*g - 2. Let h be c(2). Solve h*f + w = -w + 4, x*f + w = 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -192 + 200. Solve d*u - 12 = 11*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3841 is divided by 863?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 97397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5048443 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*p + 16789 = 134*p. Solve -5*i + 148 = p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1120 or -1098?\nAnswer: -1098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o, -4 = 3*m - o - 10. Let h(i) = -2*i**m - 2*i**2 + 8*i**2. Let g(d) be the first derivative of -2*d**3\/3 + 6. Calculate g(h(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -1167000 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 4*z - 12 = 7, -3*z = -3*w + 21. Suppose 0 = -5*g + 3*r - 15, -5*g = -3*g - w*r + 15. Are g and 5\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the first derivative of q**6\/120 - q**5\/60 + q**4\/24 - q**3\/6 - q**2\/2 + 8. Let h(d) be the second derivative of z(d). Does 20 divide h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 2445, 2497, 2565, 2649?\n\"Answer: 8*s**2 + 28*s + 2409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -377, -2656, -8503, -19700, -38029, -65272, -103211, -153628?\nAnswer: -218305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(171) - (sqrt(171) + sqrt(171) + 0 + sqrt(171)*1))*1 - (sqrt(76) + 1 + (-2*sqrt(1539) - sqrt(19)) + 5).\nAnswer: -6 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 193098417 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-82 + 34 - 204)*(0*m**5 + m**5 - 2*m**5 - m**2 - m**5 + m**2 + (1 - 1 + m**4)*(-m + m - m)).\nAnswer: 756*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -4, -1.2, -1\/12, -1\/2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 241487 + -241458.99935. Let y = -28 + p. What is y rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggfoflnofllollllgg. Give prob of sequence lg.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 177649.\nAnswer: 59, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -2, 5, -3132, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 4*r**2 + 4*r + 1. Let l be j(-6). What is the highest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -26 + 30. Suppose -u*b = -4*d - 216, 2*d - d + 4*b + 39 = 0. Let z = -38 - d. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2.82377854 to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -842*r. Let l(o) = -1676*o**2. Give l(m(q)).\nAnswer: -1188223664*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 140*s. Let n(z) = 29*z + 6247 - 29*z + 72*z - 6247. Let w(r) = 3*i(r) - 5*n(r). Let j(u) = u. Determine j(w(k)).\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1513 divided by -2\nAnswer: 1513\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j = 16, -4*o + 6*j - j = 4*j - j - 28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 374, 2837, 9486, 22415, 43718, 75489, 119822, 178811?\nAnswer: 254550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 1 + 4*l**2 - 8*l**2 + l + 6*l**2. Let p be h(-1). Solve -12 + p = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 364 a factor of 17670744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -55\/168 and -59\/5324088.\nAnswer: 5324088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -1204 = -2*w - 1202 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 930153.9mm?\nAnswer: 930153900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 213051*k - 5752393. Give l(27).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 5*((0 + (sqrt(405) - sqrt(405)*4))**2 + sqrt(405) + sqrt(405)).\nAnswer: 90*sqrt(5) + 18221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -167.561 * -341\nAnswer: 57138.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3040765633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -40a3 (base 12) to base 6.\nAnswer: -52323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the first derivative of -i**4\/4 + 22*i**3\/3 - 27*i**2\/2 + 16*i - 31. What is the units digit of u(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 137812 and 1441?\nAnswer: 1515932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 460164*z + 3. Let j(g) = 5*g**2. Determine x(j(c)).\nAnswer: 2300820*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*p + 5530 + 40145 = 0. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5701*c**3*n**4 + 2*c**3*n**2 + 12*c**3 - 11*c**2 + 24*c wrt n?\nAnswer: 22804*c**3*n**3 + 4*c**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 1 (b) 5 (c) -1\/4 (d) -3\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 7*a - 10*a**3 + a**2 + 0*a**2 + 4*a**2 - 8803 + 8800 in the form r*a + d*a**2 + b + w*a**3 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 38675 and 133042.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11 + -4. Let j = l + -4. Suppose 3*k - j*o = k + 8, 3*k + 3*o - 42 = 0. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5 in 133, 3\/4, 23?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 474 and 18.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - s - 3 = 0, -2*s - 1 = -3*n + 7. Suppose 96 = -n*t - 2. Let j = -293\/6 - t. What is the closest to 5 in 2\/19, -2\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -98*c**3 + 1820*c**2\/3 - 1016*c\/9 + 16\/3 = 0.\nAnswer: 2\/21, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**3 - 108*u**2 + 8909496*u.\nAnswer: -4*u*(u - 1479)*(u + 1506)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 16a (base 13) to base 7.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*k + 242 - k - 120 - 122.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 335850099 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -24*t**2 - 9*t + 29. Let g(x) = x**2 + x - 3. Let b(m) = -3*g(m) - y(m). Does 27 divide b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 57\/5 of a day?\nAnswer: 16416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 52 = 4*d, 4*n - d = -65 + 21. Let w(p) = -7*p**3 - 1605*p**2 - 459*p - 225. Let s be w(-229). Sort n, -1, s in increasing order.\nAnswer: n, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 927420.1 millennia?\nAnswer: 11129041200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 1001*m. Let h(o) = -14*o + 18. Let k(r) = -155*r + 200. Let z(s) = -100*h(s) + 9*k(s). Determine z(d(p)).\nAnswer: 5005*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1232 and 462?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19 + 16. Let j = m + 23. What is the remainder when j is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -l + 2. Suppose 0*d - d - 48 = -3*m, 0 = 4*m - 2*d - 62. Suppose l*y - 3 = m. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -526350*3.\nAnswer: -1579050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -11 - f + 15 - 4 + f**2.\nAnswer: f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 211 + 1?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 31. Let m(y) = 294. Let u(z) = -19*i(z) + 2*m(z). Let l(r) = r + 4. Let v be ((-2)\/4)\/((-4)\/24). Calculate v*u(j) + l(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 14, 5, 414, -1, 1158 in descending order.\nAnswer: 1158, 414, 14, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -2 + q - 2 - 4*q. Suppose 0 = -2*a - 6 - 18. Let v(j) = -j + 47106 + 47151 - 94258. Calculate a*v(l) + 3*h(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -4, 4224 in descending order.\nAnswer: 4224, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j**2 + 4*j**2 - 9*j**2)*(-5 + 2 + 1)*(0*j + 0*j - 2*j).\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be 65300*((14 - 2) + -2). What is g rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11995 + -34605. What is i rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 18 * 5\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -8 + 3*b**2 - 5*b**2 + 1 - 17*b**4 + 4*b + 0 in the form y*b**4 + r*b**2 + k + f*b + j*b**3 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d**3 + d**2 - 2*d - 4. Suppose -4*f = -8*f - 48. Let q(o) = -o - 15. Let a be q(f). What is the tens digit of i(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7936 - 39683\/5. Let k = 4\/548003 - -1280682751\/35620195. Let o = 179\/5 - k. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -90*l - 60. Let r(v) = -v - 1. Let p(s) = c(s) - 60*r(s). Let j(d) = -3*d**2. Calculate j(p(u)).\nAnswer: -2700*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-8\/5))**(-2\/75) assuming s is positive.\nAnswer: s**(16\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-943 + 929)*6\/(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -288, 4, 17 in descending order.\nAnswer: 17, 4, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -64, -171, -334, -553, -828?\n\"Answer: -28*a**2 - 23*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110110 + -11110100000011000111?\nAnswer: -11110100000011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 less than 35357405.6?\nAnswer: 35357405.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.087 - 0.413. What is the biggest value in 3, 2, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2011717 and 39095.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*y**3 - 2*y**3 + 7*y**3 - 4*y**3 - 4*y**3 + 4*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = k - 114, 0 = -k - 0*k - o + 94. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -77254.35708 + -23053?\nAnswer: -100307.35708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -47 in -17, 5, -0.506?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sum 51 and -0.2.\nAnswer: 50.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 21 (base 9) to base 3\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 33 - 43. Let u = -9.2 - q. Is u greater than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(364)*1)\/sqrt(7) + -2).\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 80*z**4 + 56437*z**3 - 3550253*z**2 + 7*z?\nAnswer: 1920*z + 338622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2867863*h**3 + 2*h**2 - 4*h - 32888324 wrt h?\nAnswer: -8603589*h**2 + 4*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nna when three letters picked without replacement from nanannnnnnnnann?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 3786*o**2 + 956*o + 8. Let r(x) = 7572*x**2 + 1911*x + 14. Let s(a) = 7*b(a) - 4*r(a). What is the second derivative of s(h) wrt h?\nAnswer: -7572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 + (2 - (0 - -4)) - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-66)\/110*(-30)\/9*(-87)\/(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -4543 (base 6) to base 3.\nAnswer: -1110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 85*c**2*q**5 + 4*c**2*q**2 - 2*c**2 + 648*q**6 + 2733*q**2 - 2*q wrt q.\nAnswer: 5100*c**2*q**2 + 77760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 2 - 3 - 278*x + 3 + 295*x. What is the tens digit of j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -68 - -70. Let v = 0.84 + 4.16. Which is the second biggest value? (a) -0.8 (b) v (c) 1\/3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -15567 - -15570. Let -1 - 19\/2*b - 16*b**2 - 15\/2*b**z = 0. What is b?\nAnswer: -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -m**5\/4 - 146*m**4 - 1745*m**3\/4 - 581*m**2\/2 = 0. What is m?\nAnswer: -581, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 3*n + 48. Let z be x(-17). Let k be z\/(-2)*64\/(-24). Suppose -2 = -2*h + 4*h, 2*g = 3*h - 1. Put -5, 3, k, g in descending order.\nAnswer: 3, g, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 203428591?\nAnswer: 29, 1213, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/17, 0.15, 0.4, -5.\nAnswer: -5, -3\/17, 0.15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**2 + o - 2. Let x be b(1). Calculate the common denominator of (-145)\/(-6) + x*(-1)\/2 and 51\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.507 + -2.32. Let m = -23076.287 - -23064. Let c = m + a. Round c to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -7*y**2 - 32*y + 3*y**3 - 4*y**2 - 4*y**3 - 5 + 0*y**2. Let o be m(-6). Solve -1 = o*x - 6*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 5 and -141.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -1\/30685874 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -212 + 285. Calculate the remainder when a is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 32000 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 68 + 10 = 2*p, 4*o = -4*p + 192. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*c - 140 = -21*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**3 - 4*f**2 - 4*f - 1. Let h be w(5). What are the prime factors of 1\/(-2) + 34\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3\/17, 11.2, 3\/5, 60\/7?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2314389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -96089283.\nAnswer: 1\/32029761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1429523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -487*g + 482*g + 56334 = 2*u, -45112 = -4*g + 4*u. Is 27 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -186 + 197. Let s(w) = 50*w. Let d be s(3). Let k = 271 - d. Calculate the greatest common divisor of k and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 3 + 0)*(n + 4 - 4)*(9*n**3 - 6*n**3 - 1276*n**2 + 1090*n**2) as d*n + l + z*n**2 + s*n**4 + w*n**3 and give w.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -21343995272 take away -366?\nAnswer: -21343994906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 258 + 637. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10020221100 - -111201?\nAnswer: -10020102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29545452 divided by 2462121.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2560.4 + -2562.4. What is the nearest to p in 0.8, 0.4, -27\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 1\/3 (b) 2\/11 (c) 2\/9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 148 divide 219398160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 11 = o + 15, 0 = 4*o - 4*k - 16. Which is the nearest to -1.7? (a) o (b) -3\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -143041\/27 - -5297. Find the common denominator of -1 + ((-8512)\/(-784))\/(30\/(-14)) and s.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/(-1) + 10 + -1. Let o = 17\/2 - n. Let u = 0 + -3. Which is the closest to o? (a) -0.3 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oqg when three letters picked without replacement from oggqovo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*q - 5 = 17 + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 423, 421, 415, 405?\n\"Answer: -2*z**2 + 4*z + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.02, -0.2, -3, -9, -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -39 + 46. Suppose m = 5*x + 11, -h = -x + 5*x + m. Let a(d) = -12*d + 1. Give a(x).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**2 - 5*y - 1. Let a(k) = -5*k + 828. Let w(d) = -d + 184. Let u(x) = -4*a(x) + 18*w(x). Let h be 4\/(-14) + 33\/(-7). Determine h*u(n) - 2*z(n).\nAnswer: 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -215894*t + 4965521. What is j(23)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 70811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 61692812 to the power of 1\/2, to the nearest integer?\nAnswer: 7854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 2*o + 2 = 0, 8 = -n + 5*n - 2*o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -d + -495?\nAnswer: -4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 29 = -67. Suppose -2*n - 5*q = -32, -3*q - p = n - 3*n. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7 + -2. Let r = 6 + k. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 17 by 1471.\nAnswer: 17\/1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5573.\nAnswer: 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p - 12 - 8, j - 5*p + 28 = 0. Let r(s) = -20*s + 3. Let o(c) = -13*c + 2. Give j*o(v) + 5*r(v).\nAnswer: 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 14 (b) 2 (c) -54 (d) -44 (e) -3 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -1*sqrt(7))*3*-1.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 460153 and 12023.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k - 89 + 69 = -5*q, 5*q = 4*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * 1.827637.\nAnswer: 0.9138185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*s - 4*s + 3*s + (1 - 1 + 1)*(4*s - s - 2*s) + (-1 - 1 + 0 + (5 - 2 - 1)*(2 - 1 - 2) - 4 + 2 + 0)*(-3*s + 6*s + 0*s).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 120649?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -3*d + 1636, 2*z + d - 1139 = -323. What is the greatest common divisor of z and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 26346043 - 223?\nAnswer: 26345620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 124 - 115.3. Let v = l - 9. What is the second smallest value in v, -1\/4, 7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3363 - -671?\nAnswer: -2472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3251 = -29*q - 728. What are the prime factors of q?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 31? (a) 2\/6727 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2146250 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 73 and 19973019.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 368.28096028 - 312.2809612. Let y = q + -56. What is y rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*t**5 - 12774*t**4\/5 - 61276*t**3\/5 - 12224*t**2 + 35072*t\/5 = 0 for t.\nAnswer: -137, -8\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/6 - ((-4)\/(-3) + -3). Let f(l) be the first derivative of 1\/3*l**3 + 1 + 0*l - l**j. What is the second derivative of f(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 20679\/20 + 374239\/80. Let r(a) = -159*a**2 - 2*a + 5. Let s be r(-6). Let p = w + s. What is the common denominator of 53\/22 and p?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 4, j: 10}. What is prob of sequence jjss?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 5290945.\nAnswer: -3\/5290945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.4 (b) 9 (c) -84662 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -3653, -5296, -6939, -8582, -10225?\n\"Answer: -1643*b - 2010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 3*r - 5*r**2 + 3*r + 6 - r**3 - 7. Suppose -4*u - k - 17 = 12, 4*u + 24 = 4*k. Is n(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 173570335 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = -44688\/2195 + -18\/439. Let m = -928\/45 - a. Let i = -3188\/3 + 1077. Find the common denominator of m and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 2*d + 4, 4*d - 21 - 7 = -4*y. Suppose 4 = -2*h - d*j + 34, -66 = -3*h + j. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 4*c - 2236 = 0, -3*w - c = -5*w + 1109. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.13*-277.3.\nAnswer: 36.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.835 and 4?\nAnswer: 3.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:26 PM and 8:21 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-60)\/(-14) + (-8)\/28. Suppose 3*y = -2*i + 7, v*y = -i + 5*i + 36. Let h = -2 - -12. Solve -4*s - y = n, 2*n - 4*n - h = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 49 divided by 49\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 83*q**2 - 3605*q + 1548. Give i(43).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(-2)\/z)**(-20)\/(z**(-1\/2))**(-43))**31 assuming z is positive.\nAnswer: z**(1147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 5*d**2 + 3*d + 8. Let q(j) = -2*j**2 - j - 3. Let o(c) = c**3 - 2*c**2 - 3*c - 3. Let x be o(3). What is x*b(g) - 8*q(g)?\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 325\/182 - (-4 - -6).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -562807 (base 12) to base 4\nAnswer: -11033100013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = -2*m + 95772, -d + 24126 = -5*m + 216. Does 197 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -86*a**2 + 5*a**3 - 4*a**3 - 2*a - 6 + 91*a**2. Let h be q(-2). Solve -2*r + 5*d - 3*d = 14, -5*r - 4*d + h = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3*b**2*t - 4*b**2 + 7*b*t - 3*b - 5*t - 202 wrt b?\nAnswer: -6*b*t - 8*b + 7*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 2 + -129065\nAnswer: -129063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1254728329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 822 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i - 3*c = -1, i - 18 = 4*i - 2*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 6*p - 2*p + 22, 4*p = 5*h - 26. Suppose -h*x + 48 = 6*x. Solve 0*g = 5*t + 3*g + 10, -3*t - x = -2*g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2622009 is divided by 1310886?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 21 (base 12) in base 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1780980\/10*(-6)\/(-18).\nAnswer: 2, 29683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 8\/(-56) - (1 - (-10)\/(-7)). Suppose -686 = -30*c - 626. Let -2\/7*t + 0*t**c + 1\/7*t**4 + w*t**3 - 1\/7 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**2 - 6*o + 5. Let u be s(-13). Let m = -54 - u. What is the highest common factor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, y: 1, k: 1, o: 2}. Give prob of picking 1 o and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**4 + 546*m**3 - 2792*m**2 - 3336*m.\nAnswer: 2*m*(m - 6)*(m + 1)*(m + 278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10567403?\nAnswer: 7, 11, 137239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3204173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be 13\/(-26)*(-280)\/30 - 1\/(-3). Solve 4*p - 11 + 3 = 4*m, s*p - 4 = -m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t**5 - 394*t**4 - 20787*t**3 + 74554*t**2 + 58824*t = 0. Calculate t.\nAnswer: -43, -2\/3, 0, 4, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -a + 850 = 2*u + 839, 2*u + 4 = 4*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1074.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 95377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.02 + 2.02. Let t = -47.593 + 47.793. Which is the second smallest value? (a) 0.07 (b) m (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - -35. Suppose t*h = 32*h. Let u = -130 + 130. Solve h = -2*d - u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 1 + 1)*(-27 - 10 + 7)*(2*o**3 - 2*o**2 + 2*o**2).\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 2*r**3 + 13*r**2 + 4*r - 7. Let w be p(-6). Suppose -w*o - 92 = -3*j - 0*j, 3*j - 3*o = 90. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -21180019.05 to the nearest 1000.\nAnswer: -21180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 - -9. Let m be (-1)\/g - 26\/(-6). Suppose -m*j = -j - 15. Solve j*h - 15 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14 - 9. Suppose -6*b = -w*b - 1. Let f be b*(4 - 0)\/(-4). Let v(y) = -5*y - 1. What is v(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (6\/9)\/((-2)\/3). Let v be (1\/(-2))\/(k\/(-4)). Let i = -3752.4 - -3752. Are i and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes before 3:30 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (8 - (-8 - -19 - 8)) + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 31041 = -9*c - 7914, 4*m = -2*c + 30776. Does 80 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyxxyxyyyxyoyy. What is prob of sequence yo?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the third derivative of 0 + 0*v**3 + 0*v**4 - 25*v**2 + 0*v - 1\/30*v**5. Let z(s) = 15*s**2. Calculate z(j(u)).\nAnswer: 60*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + 0 - (-371 - -392)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:36 PM and 5:55 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 5 - (7 - -8) - -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -0.3869205 < 3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -8317601 to the nearest 10000.\nAnswer: -8320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3562460 and 7040?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 2, i: 1, n: 2, p: 1}. What is prob of sequence gn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/(-3)*(-1)\/(-4). Let j be ((-87042)\/(-42) - 14) + 6\/(-14). Let w = 10292\/5 - j. Which is the smallest value? (a) g (b) -2 (c) w (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -3 + (5 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 500192?\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 48\/2075 and -93\/1660.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, -1, 4 in ascending order.\nAnswer: -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13222075 divided by -9.\nAnswer: 13222075\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-o - 2 + 2)*(-391*o**2 - 286 + 184 + 102)*(-4 + 2 - 1) to d*o**2 + u + c*o**3 + r*o and give c.\nAnswer: -1173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -5595*k - 127443. Determine m(-23).\nAnswer: 1242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 14546 + -14545.8. Which is the second biggest value? (a) -4 (b) 136 (c) 1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3944\/(-145))\/8 - (-6 - -3). Let w be (-1 - 0) + (-1 - 0). Let c be (1 - 1)*(w - -1). Are c and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 114230141004 + -2?\nAnswer: 114230141002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-16)\/(-8) - (-296 + -1). Suppose -4*r + v = -21. Suppose 0 = z - 2, -2*y + 3*y - 3*z = r. Calculate the remainder when y is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2836919 millennia to months.\nAnswer: 3404.3028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 9, 24, 49, 84, 129?\n\"Answer: 5*u**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1150742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38*q**3 + 5*q**3 + 2*q**3.\nAnswer: 45*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2129, -2296, -2473, -2666, -2881, -3124, -3401, -3718?\n\"Answer: -g**3 + g**2 - 163*g - 1966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -9 (b) 2 (c) -0.3 (d) 161.59 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 234 (b) 1\/12 (c) 3 (d) 10 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(-61) + 96135\/12480295.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 176\/66*(3 + 15\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7084*w + 5*k + 24 = 7086*w, 4*w + 2*k - 48 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -6*b*k*s*z**2 + 10*b*s*z - 26*k*s*z**3 + s*z**3 - 3*s*z**2 + 3*z**2 wrt k?\nAnswer: -6*b*s*z**2 - 26*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 y when three letters picked without replacement from dujyivyuj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -4*q + 80. Let u = 65 - 63. Suppose 5*p = u*x - 32, -2*x - 24 = -p + 3*p. Is 16 a factor of s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes after 5:42 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 7 = f, -9*f = 3*q - 11*f - 11. Let y(w) = w + 4. Let u be y(6). What is the greatest common divisor of u and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 540, 1062, 1566, 2052, 2520?\n\"Answer: -9*i**2 + 549*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 22*n + 1. Let m(y) = y - 1. Determine s(m(w)).\nAnswer: 22*w - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 65 + -44 + (-97 - (-27 + 17)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2562)\/(-336)*-4 + 27)*-11?\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -5*4*(-2)\/(-10). Let v = 657 - 654. What is the second smallest value in 0.2, v, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l**5\/5 + 6*l**4 + 259*l**3\/5 + 834*l**2\/5 + 1108*l\/5 + 504\/5 = 0. What is l?\nAnswer: -18, -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -17655\/4 + 4390. Calculate the common denominator of u and 85\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 5 = 3*k, -3*k - 256*j = -254*j - 25. Solve 0 = 22*v - 27*v - k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 4*s - 14 = 4*d, 2*d = 2*s - 4. Let b be 4\/(-16) - 273\/12. Suppose -17 = 5*c - o, 4*c + 13*o - 59 - 24 = 0. Put s, b, c in increasing order.\nAnswer: b, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -0.0788 (b) -5 (c) 53\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3 + 9*x**2 + 10. Let b be z(-9). Suppose -b*j + 3*j + 231 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*i + 124098 + 124048 - 248096 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 2a770d (base 15) to base 13\nAnswer: 56a259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d**(-8)\/(d\/d**(6\/7)))\/(d*d**(-1\/3)*d*d\/d**(-3\/7)))**(16\/5))**9 assuming d is positive.\nAnswer: d**(-11328\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34018 is divided by 140.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -111*s + 236*s - 0 - 0. Sort s, -4, 27, -20, -2 in decreasing order.\nAnswer: 27, s, -2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(65)\/sqrt(5) + -1)*-4.\nAnswer: -4*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 5, s: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -67 + 113. Suppose 279 = k + n. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes after 7:59 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4719 - 4876. Which is smaller: -136 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 177048380*z + 35*z**2 - 177048380*z.\nAnswer: 35*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 2\/9, 795\/121, -57 in decreasing order.\nAnswer: 795\/121, 2\/9, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 15 - 11. Suppose 6*c - 62 = o. Suppose 5*a - 27 - 13 = -y, -5*y = 25. Solve 0 = -5*w + c + a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 49, -2, 13, -68, 3, 460 in increasing order.\nAnswer: -68, -2, 3, 13, 49, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 30 = 4*r, -2*r - 40 = -3*x - 0*r. Let s = -48 - -53. Calculate the greatest common factor of s and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-93*t - 69*t - 52*t - 140*t)*(4*t - 2*t - 3*t) as a*t**2 + x + q*t and give a.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2 + -54 + 6\/2. Let l = -36 - g. Let z(h) = 13*h**2 - 5*h - 1. Let c be z(4). Calculate the highest common divisor of c and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 3*p - 2*s = 20, -2 = 2*p + 2*s. Calculate the remainder when (-8)\/(-16) + (-7)\/(-2) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.3 - -1.8. Let h be (330\/(-80) - -4)*-2. What is the third biggest value in 3\/4, n, h, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) -2 (c) 3\/98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -84478, -3, -385 in ascending order.\nAnswer: -84478, -385, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20*q**3 + 6*q**3 - 2*q**3)*(2 - 2*q - 2) + 0*q**4 + 2*q**4 - 14*q - 257 + 259.\nAnswer: 34*q**4 - 14*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 20513 + -17612. What is the lowest common multiple of 12 and w?\nAnswer: 11604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -16 + 8. Let y = -2.3 + d. What is y rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 38\/795 and 58\/371.\nAnswer: 5565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 116 a factor of 2081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) be the first derivative of 0*i**4 + 0*i**5 - 41 + 2*i**6 + 0*i**2 - 31\/3*i**3 + 0*i. Find the third derivative of m(g) wrt g.\nAnswer: 720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2346, -4686, -7026, -9366?\nAnswer: -11706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 10*h**2 - 2 - 26*h**4 + 3*h**3 - 10*h**2 + 133*h - 129*h as m*h**4 + z*h**3 + r*h**2 + w + d*h and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11729\/(35\/(-105)*(1 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 41*g**3 - 3*g**2 - g + 6. Let d be r(2). Let m(h) = -d*h + 164*h + 164*h. Let a(w) = 4*w**2. What is a(m(j))?\nAnswer: 256*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 3*d**2 - 9*d - 5. Let s be m(-5). Suppose -3*c - 5*i + s = 0, -9 - 1 = -2*i. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 + 6. Suppose -6*x = -4*x. Find the second derivative of x*z - w*z + 2*z**5 + 3*z wrt z.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 28 + 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2058145079.\nAnswer: 15823, 130073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x be 93372\/(-27)*((-27)\/10 + 3). Let p = x + 1038. Calculate the common denominator of p and 74\/63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) -4\/7 (c) -0.1 (d) 1.3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 5*m = 4, -m = -4*t - 0*m + 6. Solve -11 = 3*r + n - 0*n, t*n - 33 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1195\/239 - (-1 + -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -17*j - 8. Let h(r) = 2*r + 1. Let l(d) = 40*h(d) + 5*x(d). Let i(q) = -8*q. What is l(i(z))?\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -2*y + 144, y + 4*r - 357 = -4*y. Calculate the remainder when y is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 132*l**3 + 259*l**3 + 2541*l**3 + 467*l**3.\nAnswer: 3399*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b + 36*z = 37*z - 20, -9*z = b - 214 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 12\/10 + ((-26451)\/(-45) - -16). What is the greatest common factor of w and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 84828921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llcrcclccl. What is prob of picking 1 r and 1 c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 727571*r**3 - 363784*r**3 - 63*r**4 - 4 - 363787*r**3 - 20*r**2 to the form m + k*r**2 + j*r**4 + z*r**3 + u*r and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 75729723 to the nearest integer?\nAnswer: 8702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7.8 - 6.8. What is the smallest value in -7, j, -0.1, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8.4 + -8.4000077. What is v rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -121*y + 55*y + 66*y - 316*y**3 - 59*y**3.\nAnswer: -375*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3 (b) -5 (c) 0.2 (d) 26.464\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 14511*r**3 + r**2 + 12*r - 233.\nAnswer: 87066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -4aa2 (base 14) to base 13\nAnswer: -5c50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -315 (b) 8 (c) 0.04 (d) -4 (e) 0 (f) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -33, -134, -301, -534, -833, -1198, -1629?\n\"Answer: -33*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 40369, 161451, 363251, 645769?\n\"Answer: 40359*m**2 + 5*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -4073 + 2035 - 10*z**3 - 7*z + 2031. Let r(v) = 10*v**3 + 6*v + 6. Give -7*r(u) - 6*t(u).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 21018.92 micrograms in tonnes?\nAnswer: 0.00000002101892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 2*p**2 + 52*p + 29. Let i be h(-28). Let d = 147 - i. Let q(a) = -a**3 + 5*a**2 + 8*a - 7. Calculate q(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 - 8 + 0)*(-7*f**2 + 3*f**2 + 3*f**2)*(58 - 25 + 3*f**2 - 27).\nAnswer: 48*f**4 + 96*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*p + 248 = 27*p. Calculate the smallest common multiple of 2 and p.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 111611176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.5, 10, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 46628*l - 71053*l - 66918*l + 4.\nAnswer: -184599*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -16\/45 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:13 PM and 7:20 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 18*w**2 - 95*w - 2036. What are the prime factors of r(-52)?\nAnswer: 2, 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -101002121221212 (base 3) to base 5.\nAnswer: -2333204023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 354225543 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply -100 and -110.\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 94 + -98. Let r = 24 - 73\/3. Put -0.2, y, r in increasing order.\nAnswer: y, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d - 70 = -14*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/12*(2 + 1). Let k be 3 + (0 - t)*-3. Solve 2*u - 4*u - 6 = k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence be when two letters picked without replacement from eeeefefeebbeeebb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (4*(((sqrt(352)*3)\/sqrt(8) - sqrt(44)) + sqrt(44)))**2.\nAnswer: 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 974\/5 - 194. Suppose -4 + 1 = -k. Suppose z + 11 = -k*c, 2*c = z + 7*c + 19. Which is greater: i or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/15680 and 43\/80.\nAnswer: 15680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b and 2 i when four letters picked without replacement from bbbbbibbbib?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5.173 + 2.136. Let m = i - 0.063. Let h = 3 + m. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*u - 3*u + 0*u + (1 + 1 - 5)*(0 + u + 0) to p*u + n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**2 - 6*i - 3. Give x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 10) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.5*-5898.731\nAnswer: 2949.3655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1558 - -2188. Is 42 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 40 + 153. Let c = l - 193. Solve -4*u - 14 - 6 = c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5175051994 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 * -2017.\nAnswer: -403.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7954 and 492.\nAnswer: 47724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 - 5bb3?\nAnswer: -5bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 30560762 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**3 - 6*j**2 + 7. Let s = 53 - 54. Suppose 4 = d - 4*u + 12, 4*u = -4*d - 12. Let h be (-36)\/d - (s - -4). Determine n(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.100307 - 0.199693. Let z be (-1)\/(-2) + (-14)\/20. Let s = 2.7 + -18.7. What is the second smallest value in s, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 31 + 18. Suppose -6 = 2*q, -3*h + v = -3*q - 401. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 194823\/21890 - (-3)\/(-45)*-6. Let a = r + -1\/10945. Find the common denominator of 95\/24 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 + 1734 = 11*b. Let y = b + -142. Solve -3*j + y = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -663 or 481879?\nAnswer: -663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 155 - 106. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -z + v = 0, -3*v = -2*z - 73 - 69 + 143 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 76 + -69. Suppose -5*b + 219 = -3*q, 3*b + 3*q + 174 = w*b. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -4285 and -4286 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 29136 and 13354?\nAnswer: 320496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/2*(-42 + 42).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 194.9083078 to one dp.\nAnswer: 194.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/((-55)\/10) - (31 - (6 + 13))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 38*g - 577. Determine m(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -261*v**3 + 5*v - 1452. Let o(b) = -b**3 + b - 1. Let z(s) = 5*o(s) - t(s). What is the first derivative of z(j) wrt j?\nAnswer: 768*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j**3 + 3*j**2 + 1. Suppose 3*f = -3*w + w - 29, -4*w - 4*f = 52. Suppose 5*r + 11 = 2*q + 45, -3*q - 46 = -5*r. Let m = q - w. Give t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 796.7784 minutes?\nAnswer: 47806.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v - 16 = -l, l + 2*v - 20 = 52 - 87 + 27 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -31131913*z**2 + 1402476*z.\nAnswer: -62263826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.5 and 55865003922.\nAnswer: 55865003921.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 440.2082 decades in centuries?\nAnswer: 44.02082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -11cc (base 13) to base 5\nAnswer: -40114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 49 - 54. What are the prime factors of 1\/3 - (1560\/(-18) + q)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 1, o: 1, j: 2}. Give prob of sequence jjjq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*y**2 - 5*y**2 - 20*y**2 - 21*y**2 + 8*y.\nAnswer: -42*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1*2\/(-4))\/((-2)\/(-5)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -6. Let g(w) be the second derivative of -w**3\/6 - w**2\/2 - w + 3. Give 6*g(k) - q(k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1044*k = 1048*k - 20. Solve k*c = -12*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14192*b**4 + 0*b + 9*b**2 + 14190*b**4 - 7*b - 1 - b**3 to the form a*b**4 + c*b**2 + f*b**3 + d*b + r and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*l - 36*l + 1274 + 20486 = 206*l for l.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 13002.65 litres?\nAnswer: 13002650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -16 + 69. What are the prime factors of h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/23 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/4 and -13\/87351?\nAnswer: 349404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -280 divided by 56\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -2284759959494 less than -1.6?\nAnswer: 2284759959492.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*n**3 + 17*n - 34*n + 4*n**3 + 291344 - 2*n**2 + 17*n - 291344.\nAnswer: -10*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 253.18 hours?\nAnswer: 15190.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 204068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -18? (a) -53 (b) 0.12 (c) 2\/13 (d) 0.55 (e) -1 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 1, p: 1, y: 2, w: 4}. What is prob of picking 3 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes after 7:21 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 31777500 divided by 317775\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:58 PM and 6:33 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 28 + 13*k - 49 - 11*k + 11*k - k**3 - 6*k**2. Calculate n(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**7*v*(v\/(((v*v\/v**(-7)*v)\/v)\/v))\/v)**(8\/11))**(-39))**(-14) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 87, 74, 53, 24?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 2*u - 1. Let o be n(2). Solve -w - o*w = -20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:27 AM and 10:15 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v**2 + 6*v**2 - 5*v**2)*(-3*v - 64*v - 25*v).\nAnswer: 184*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v**3 + 15*v**2 + 15*v + 24. Let n be z(16). Suppose n*a + 2 - 194 = 0. What is the second derivative of 25*b + a*b + 8*b**2 - 28*b - 29*b**2 wrt b?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/7, 8, -2, 0.1, -3 in ascending order.\nAnswer: -3, -2, -2\/7, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -19 + 7 = -6*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be -4*-1*1\/2. Suppose 74 = 4*s + j, -w*j + 31 + 22 = 3*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 5.637164mm?\nAnswer: 5637.164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 + 9. Let h = 4 - r. Let z = -2 - h. Which is the smallest value? (a) z (b) 0 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 936 = -4*p, -3*p = -7*p - c + 956. Suppose 26 = 2*a - 2*q - 122, 5*q = -3*a + p. What is the remainder when a is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9 - -4) + (7 - -7). Suppose -2*u = 3 - k. Factor 0*d - 1\/2*d**2 + 0 - 5\/4*d**u.\nAnswer: -d**2*(5*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*t**5 - t**5 + 2*t**5)*(0 + 2 - 4) + 6*t**5 + 15*t - 3*t**5 - 2*t**5.\nAnswer: 3*t**5 + 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 7*t + 12 = 0. Let i be (-1)\/5*(-10)\/t. Which is the nearest to 0? (a) -0.4 (b) i (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 302.3 + -302. Let q = 0 + 0. Suppose s - 2 + 3 = q. Which is the closest to 1? (a) 0.4 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the second derivative of a**8\/560 - a**7\/35 + 13*a**6\/120 - 3*a**5\/20 + 11*a**3\/3 - 8*a - 1. Let w(t) be the second derivative of c(t). Factor w(k).\nAnswer: 3*k*(k - 6)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k + 2*k - 25. Let z(n) = n - 5*n - n**2 - k - 3*n. What is the units digit of z(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the first derivative of 2\/3*r**3 + 0*r + 0*r**2 - 6 - 1\/2*r**4. Factor z(b).\nAnswer: -2*b**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4296023\/3 equal to 1432009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2640 - 4230 = 360*q - 37110 for q.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1313810.\nAnswer: 2, 5, 131381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((0 + sqrt(1872) + -1)**2 - (2*sqrt(1872)*-3 - sqrt(1872))**2) + -5.\nAnswer: -89865 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*g - 14 = 18*g. Let m be (63\/g - 3\/2) + 1. Let q(x) = -x**3 - 3*x**2 + 3. Let l(i) = 2*i**3 + 4*i**2 - 4. Let h = 0 + 3. Determine h*l(s) + m*q(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -89\/132?\nAnswer: -89\/132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*x = 26 + 14. What is the greatest common factor of 14 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 405 divided by -81.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from nrtrqzi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -20 + 22. Let z be 50*(105 - 5)*10080\/n. Round z to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 + 19. Let c = -107 - -10. Let l = -23 - c. Calculate the remainder when l is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**3 + 0*f**2 - 5*f**2 + 2*f + 2 + 3*f**2. What are the prime factors of s(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -212 - -211. Let p be (m\/(-3) - 51\/(-9))*1. Let q(t) = -t**2 + 6*t + 1. What is q(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.206 (b) 1 (c) 1\/6 (d) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*l**3 - 2*l + 2 - 4*l**3 + 8*l**3 to the form b*l**3 + o + h*l + j*l**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l - 2*w = 0, -w + 1 = l - 0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 880, 1760, 2638, 3514, 4388?\n\"Answer: -x**2 + 883*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3609 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(7) - (3 + (sqrt(21)\/sqrt(3))**2) - (-3 + (sqrt(56)\/sqrt(8) + sqrt(7) - sqrt(7))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*c - 3*c + 45 = 0. Let d = -4 + 2. Let o = -0.3 + 2.3. What is the nearest to -0.1 in o, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*318\/4*((-280)\/(-15) + -18)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**3 - 3*u**2 - 20*u - 4. Determine s(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 12626015 (base 7) to base 4\nAnswer: 10130303123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i\/(i**(-1)*i*i))*i\/i**(-6\/13)*i)\/(i*i\/i**(2\/5))**(-20\/7) assuming i is positive.\nAnswer: i**(731\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqwqqwqqwwqqqwww. Give prob of sequence qww.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 54141.1 hours to seconds.\nAnswer: 194907960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 210, 215, 220, 225, 230?\n\"Answer: 5*j + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -4*m**4 + 5*m**3 + 11*m**2 - 5*m + 5. Let w(j) = j**4 + j**3 + j**2 - j + 1. Let r(d) = -v(d) + 5*w(d). Find the third derivative of r(o) wrt o.\nAnswer: 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -10*m**3 - 18*m**2 + 59*m - 103. List the prime factors of h(-12).\nAnswer: 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 62, 5, 50, 6, -6, 4 in descending order.\nAnswer: 62, 50, 6, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tytttytwtytya?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 450 and 7450.\nAnswer: 67050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 50642468 and 155.\nAnswer: 253212340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7118*q**3 + 2668*q - 125872283.\nAnswer: -21354*q**2 + 2668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.4606 - 0.8606. Which is the nearest to 0.3? (a) h (b) -16 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:15 AM and 4:34 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00003858 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -110 - -107. What are the prime factors of 1588\/18 + 12\/162*d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -43 + 410. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10526*s + 10531*s = 2*l + 29, 5*s - 25 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4804 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*u - 49 - 1. Let d(p) be the first derivative of p**4\/4 + 10*p**3\/3 - p**2 - 12*p - 3. Let n be d(u). Solve 0 = -2*g + n - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 52 divide 46212036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((3 + -4 + (sqrt(468)*-1 - sqrt(468)))*-1*5)**2 + -3 + -2.\nAnswer: 600*sqrt(13) + 46820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 294*z**5\/5 - 439796*z**4\/5 + 499910546*z**3\/15 - 4854845216*z**2\/15 + 11941923968*z\/15 = 0. Calculate z.\nAnswer: 0, 104\/21, 743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 13773, 14001, 14529, 15507, 17085, 19413, 22641?\n\"Answer: 25*g**3 + 53*g + 13695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4153 + 8179. Does 183 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the third derivative of -t**6\/120 - 59*t**5\/60 + 14*t**3 + 2*t**2 + 12. Differentiate h(w) with respect to w.\nAnswer: -3*w**2 - 118*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3890701820 a multiple of 4947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1536\/61870 + 9016\/(-1212652)?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 668 + -666. Let a(g) be the first derivative of 2\/3*g**3 + 0*g - 1 - 9\/2*g**v. What is the second derivative of a(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -56 and 630.53?\nAnswer: -35309.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oggllgg. Give prob of picking 1 l, 2 g, and 1 o.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h**5\/5 + 2184*h**4 + 608824*h**3\/5 + 10775888*h**2\/5 + 52334892*h\/5 - 30563704 = 0. What is h?\nAnswer: -19, 2, 2785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 24 = -6*j. Suppose 5*m - 181 = j*m. Let u = 258 + m. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -259 divided by 3331.\nAnswer: -259\/3331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the first derivative of -15*i**2\/2 - 94*i - 9975. Determine u(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21543 - 28681 - 21897 = 7417*r - 12785 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in c - c - 19*c**2.\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -4, -905 in increasing order.\nAnswer: -905, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + -3 - ((-15 - 128) + -12) - 17?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -26080 + 912297\/35. Let p = -95\/7 - k. Suppose -2*c - 35*i + 39*i = 2, -2*c + 1 = -i. Is p > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00042277451 rounded to six decimal places?\nAnswer: -0.000423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (c**3 - 4*c**3 + 2*c**3)*(-17*c - 6 - 3106*c**2 + 3 + 3103*c**2).\nAnswer: 3*c**5 + 17*c**4 + 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*t - 3*t + 104. Let i = 29 - t. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -11*i**4*r**3 - 46*i**4*z + 2*i**4 - 35*i**2*r**3*z + i**2*z + i*r**3 + i*r**2*z + 3*i*z wrt i.\nAnswer: -264*i*r**3 - 1104*i*z + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 38 + -80 + 33 - (0 + -51 + -8)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the third derivative of 5*z**4\/24 - 10*z**2. Let h(f) = 2*f**2. What is h(t(k))?\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -195*u - 871. Let d be b(-5). Which is greater: d or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.26*35436629.\nAnswer: 9213523.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 69 + -67. Solve i*s - 9 = m, -5*m - s = s - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000003965216 to seven dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.3 + -0.1. Let r be (-3)\/(-2)*(-2)\/6. Let o be (2 - 30 - -30)\/((-2)\/4). What is the nearest to q in -3, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 10344631 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -16751887572.5 + -202?\nAnswer: -16751887774.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 0 - ((-13)\/((-52)\/36) + -44) and 5480?\nAnswer: 38360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-31)\/(c\/(c**25*c)) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 9 + v + 4*v - 4*v. Suppose 5*y = y - 28. List the prime factors of a(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 60*i - 591. Let r be d(40). Is r at least 1810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, a: 4, g: 3}. What is prob of sequence agg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*l = -21*l + 51 + 54 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -35638 + 35635. Sort 0.257, y, 19 in descending order.\nAnswer: 19, 0.257, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qvrgqmo. What is prob of sequence vqo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3288653 years in decades?\nAnswer: 0.03288653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9 + -6. Suppose h = -4*w - 17, r + 4*w = -19. Solve -f - r = 3*i, 5*f = 5*i - 0*f - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 64129 - -14573. What are the prime factors of z?\nAnswer: 2, 3, 13, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 376407851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5\/3 + -17\/12. Suppose 0*t = 5*t + n + 13, -3*t - 3*n = 15. What is the nearest to 0.1 in c, t, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(72))\/sqrt(4).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*k - 3*k + k**3 + (-3 + 4 + 1)*(-2*k**3 + 3*k**2 - 3*k**2))*((7 - 3 - 3)*(9 + 10 - 5) + 2 + 4 - 2) to s*k**3 + y*k + v + b*k**2 and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -8, -22, 1, 955, 5, -1 in increasing order.\nAnswer: -22, -8, -4, -1, 1, 5, 955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 5 + sqrt(1700).\nAnswer: 4 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, -1\/4, 5, -1, -0.8.\nAnswer: -1, -0.8, -2\/5, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -2*v**2. Let n(i) = -105*i - 2. Give u(n(a)).\nAnswer: -22050*a**2 - 840*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 29, -20, 4 in increasing order.\nAnswer: -20, 1, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -10 + 12. Solve 0 = -d*z - 0*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + (1 - (-1 + 3)) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2\/(-324)*-8)\/(178\/9256). Which is greater: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q. Let o(b) be the third derivative of -b**4\/12 - b**3\/6 - 71*b**2. Calculate -2*o(t) + 3*x(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the third derivative of 0 - 6*h**2 + 0*h**3 + 0*h**4 + 0*h - 1\/60*h**6 - 1\/30*h**5. Factor q(w).\nAnswer: -2*w**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 188297.\nAnswer: 29, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = -157.8 + 157.6. Let n = 68.1 + -64. Put 0, n, o, -5 in ascending order.\nAnswer: -5, o, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 7 + 27 = 0. Let k = 211\/3 + -69. What is the closest to 2\/3 in -3, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 18\/53? (a) 0 (b) -17 (c) 5 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 3*v**3 - 2*v + 1. Let s(n) = n + 7. Let i be s(-6). Let g be u(i). Is g greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 62 + -34. Let u be 7\/k*-2*14*1. Let t(f) = -2*f**3 - 16*f**2 - 14*f + 9. Let m be t(u). Solve 0*j = -3*j + m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**2 + 9*p - 3. Let x be t(7). Suppose x = -2*j + 3. Let u be j\/(-10)*18\/(-12). Which is the second smallest value? (a) -0.3 (b) u (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 13077*d**2 + 1176919*d - 1001. What is t(-90)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + -4 + -19 + 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 - 2)*(19*v**3 + 174*v**2 - 174*v**2) - 2*v**3 - v**3 - 4*v**3 - 4 + 2 + 3*v**3 + 0*v**3.\nAnswer: -23*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6267259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -4*t**2 + 16*t + 13. Let q(o) = -o**2 + 4*o + 3. Let b(x) = 2*l(x) - 9*q(x). Suppose -156*k + 4*s + 32 = -152*k, 3*s - 18 = -4*k. Calculate b(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (0 + 2) - (-4 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 67967.4 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -1833*o. Let q(x) = 16*x - 355. Calculate q(a(l)).\nAnswer: -29328*l - 355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51651 is divided by 10327.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/4 in -6.97, -2\/11, 1\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**2 - 1. Let p(b) = 3*b**2 + 6*b + 6. Let u(o) = -4*d(o) + p(o). List the prime factors of u(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence glg when three letters picked without replacement from {g: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2 at least as big as 75\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -39580889, -79161767, -118742645, -158323523, -197904401?\n\"Answer: -39580878*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -81*k - 5 - 1 + 6.\nAnswer: -81*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 40149398 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 4, d: 3, u: 4, c: 6}. What is prob of picking 3 u and 1 c?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-468)\/624*(-240)\/(-10)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 45*f + f**3 + 7 - 6 - 7*f**4 - 55*f in the form o*f + m*f**3 + a*f**2 + j*f**4 + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ai when two letters picked without replacement from {d: 1, a: 4, q: 1, i: 6, k: 8}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 - 1. Suppose 0 = -2*p + 19 - 1. Let d = -7 + p. Solve 0 = 2*h - 0*a + d*a + 2, -l*h + 3*a = -27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 449\/3, -3, 564, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, z: 3, h: 3, v: 3, y: 2, o: 7}. What is prob of sequence vzz?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 2*p + 48029, 2*k - 86*p = -91*p + 32051. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 98*w - 968. Calculate y(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -101\/2180410 and 87\/235720?\nAnswer: 8721640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*v**2 + 15*v**4 - 51\/2*v**3 + 0*v - 3\/2*v**5 + 0 = 0. Calculate v.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p + b - 56, -4*p = 4*b - b - 108. Suppose 4*d - d = p. Calculate the remainder when (2\/(-4))\/(2\/(-72)) is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001031 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2232*l = 2239*l + 2*d - 31, 0 = 5*l + 2*d - 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 4 - 5 + p - 3*p + 4*p. Let c = -4951 + 4956. Give o(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**2 - 158*v - 3290. Let l be o(-21). Which is greater: -414 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 5*r**4 - 3*r**3 - r**2 - r. Let u(s) = -s**4 + s**3. Let v(m) = -j(m) - 4*u(m). Factor v(x).\nAnswer: -x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*s - 9159 = 11241. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3706731 and 4573?\nAnswer: 997110639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (-1*sqrt(66)*2)\/sqrt(6)*3 + -3 + (-4 + ((0 + sqrt(891))*-6 - (sqrt(891) - -4*(sqrt(891) + 1))))**2.\nAnswer: 1578*sqrt(11) + 107877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -6*a**2 + 25. Let r(g) = -2*g**2. Determine p(r(s)).\nAnswer: -24*s**4 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -0.219 times 650547\nAnswer: -142469.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -6*(1*(sqrt(2420)*-1 + sqrt(20))\/(sqrt(10) + (sqrt(10) - -2*sqrt(1000)))*-3)**2 + -3.\nAnswer: -3426\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -7*o**2 - 208*o + 2. Let a(u) = 13*u**2 + 419*u - 3. Determine -6*a(t) - 11*n(t).\nAnswer: -t**2 - 226*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = 3*l - 904, -2*c - 316 = 2*l - 3*l. Calculate the highest common divisor of l and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6630\/(-340)*((-8)\/(-7))\/((-72)\/(-84)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyyywcccywwc. What is prob of sequence cyyw?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*k - 4732 = -1033 for k.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 479.3816 centuries in months?\nAnswer: 575257.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-57*o - 59*o + 106*o)*(30*o**2 - 30*o**2 + 41*o**3) - 6*o + 6*o + 4*o**4 to the form d + v*o**3 + b*o**4 + l*o + z*o**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1778 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 530*(-269)\/(-42771)*(4\/(-10) + (-86)\/10)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 24*d - 108. Let s(g) = g**2 + 7*g - 6. Let i be s(-8). Suppose -3*r - 5*q = -i*q - 12, 2*q - 6 = 0. Solve -d - r = -2*t, -2*c - 5*t + 7 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1706497.0725095 - -0.0725095. Let k = 1706496.8150083 + i. Let j = k + 0.185. What is j rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 152222 (base 7) in base 10?\nAnswer: 29612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13 + -6. Suppose g - 16 = 3*a. Put a, -5, 0 in descending order.\nAnswer: 0, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5109)\/(-786)*(-84)\/(-26)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wfg when three letters picked without replacement from znwfmfg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.055491 + -63.997491. Let z = o + -0.058. Let q = 63.9999829 + z. What is q rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.665535 years in millennia?\nAnswer: 0.000665535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 23 + 3 + 1 + (1 - 9) - -11\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -32385*u**2 + 50292. Let k(n) = -139*n**2 + 216. Let v(p) = -6*h(p) + 1397*k(p). Let m(y) = 16*y**2. What is v(m(w))?\nAnswer: 32512*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 42 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + b - 17284 = 0, -46*y + 3*b - 17292 = -50*y. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -446 + 442. Let k(d) = -d - 1. Suppose 0 = -3*v - 15, -s - v - 3 = -0*s. Let j be k(s). Which is the closest to 0? (a) -0.4 (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o - 126 + 858. Suppose 7*d = 11*d - o. List the prime factors of d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -137 - -148. Let l(x) = 0*x - 14 + x**3 + 9*x - 12*x**2 + 4*x. Does 2 divide l(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1178 divide 5053620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x = -3*l - 3*x - 42, 5*x = -5*l - 40 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-3)\/2)\/(4 - -1 - 2). Let z be (-2)\/3 + 10\/6. Is z less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 201 (base 3) to base 8\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 x, 1 o, and 1 j when four letters picked without replacement from jwoggooxwjgowogg?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k - 2*k + 2 = 0. Let h = -2827\/93 - -91\/3. Is k bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 216 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence czl when three letters picked without replacement from zlzcjjyclyhhzzjjhy?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h + 57 + 449. Let m = h - 497. Let w(d) = -d**2 + 10*d + 2. Determine w(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 43.9 - 44. Let w = 538 - 377. Let z = 165 - w. What is the second biggest value in 0.3, p, -0.5, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1372451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.22074394 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1663339 and 30286?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*m + 3*q + 18, 4*m + q + 746 = 736 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 66\/13 equal to -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-5486)\/2743*(-3)\/(-2)*2\/3*-73\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes before 6:10 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the first derivative of -2*s**3\/3 + 174. Let l(o) = -19*o**2 - 5*o. What is w(l(t))?\nAnswer: -722*t**4 - 380*t**3 - 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2283 minus 67785559?\nAnswer: -67783276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 570810*p*t + 236682*t wrt p.\nAnswer: 570810*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 9749.029 centuries in years?\nAnswer: 974902.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -6 + (3 - (3 + 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 179360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 895, -2\/7, 1 in descending order.\nAnswer: 895, 1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s**3 - 167472*s**2 - 1752929424*s = 0.\nAnswer: -20934, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 5057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**12*v*v)\/(v\/((v*v**(-2)*v)\/v)) assuming v is positive.\nAnswer: v**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 1 h, and 2 x when four letters picked without replacement from sjxxshjjjjss?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 881, 884, 889, 896, 905, 916, 929?\n\"Answer: r**2 + 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/(-3) + 84680\/87 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1313, 1305, 1291, 1271, 1245, 1213?\nAnswer: 1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -3*o + 10. Let k be x(-4). Let t = -12 + k. Solve -t = n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7921488, 15842932, 23764376?\nAnswer: 31685820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 239844929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:20 PM and 10:41 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2511, -2504, -2493, -2478, -2459?\nAnswer: -2436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2*j. Let r(y) = y. Let t(x) = 7*r(x) + 4*v(x). Let q(c) = -5766*c - 24*c**2 + 2887*c + 2879*c. Determine q(t(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 353*k = -59*k + 824 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w\/w**(-1\/3)*w**(-4)*(w\/(w*(w*w**(-1)\/w)\/w))\/w*w*w*w**(-1\/2) assuming w is positive.\nAnswer: w**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 115279 times 27.05\nAnswer: 3118296.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*w**4 - 7116*w**3 - 21324*w**2 - 21316*w - 7104.\nAnswer: -4*(w + 1)**3*(w + 1776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = -16.3447 + 16.5047. Let z be (-3 + 8)\/(-2 + -1). What is the third biggest value in 0.06, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.969 + 5.399. Let w = 0.43 - p. Let c = -21 - -27. What is the nearest to -1\/4 in 0, w, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.26910296 times -0.2?\nAnswer: 0.253820592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 771731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/5 in 0, -0.04, 0.03, 2688, -0.4, 0.5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 824\/7 - 118. Which is the nearest to -3? (a) -0.2 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3234)\/(-7590) + 8*(-54)\/720\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00002294 to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*f - 36309 = -2955. Is 105 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11, -55, -129, -233?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -116834, -116809, -116784, -116759, -116734, -116709?\nAnswer: -116684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3\/3787 - 4603\/1030064. Let j(s) = s - 7. Let h be j(13). Suppose -i + h*i = 0. Which is greater: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2160123023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*c**2 - 48 + 48 to the form i*c**2 + k*c + y and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*r + 3126 = -79607. Calculate the highest common divisor of r and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -7*a*q**2*x**2 - 13*a*q**2*x - 437*q**2*x**2 wrt a?\nAnswer: -7*q**2*x**2 - 13*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 44714, 89432, 134148, 178862?\n\"Answer: -b**2 + 44721*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 20 - 13. Suppose 0 = f*o - 5*o - 92. Suppose -5*p + 7*p - o = 0. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -98.15249166 rounded to 2 dps?\nAnswer: -98.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/2 + 187\/68 - -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3*d**2*q**2 + 3579*d**2 + d - 6*q**2 - 3550*q - 4 wrt q?\nAnswer: -6*d**2*q - 12*q - 3550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes before 3:45 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 37.9646 decades in months?\nAnswer: 4555.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**3 - 7*x**2 + 7*x - 3. Let l be n(6). Suppose 6*j - 92 = 2*j - u, -u = l*j - 68. Calculate the greatest common divisor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 0 + 3d1?\nAnswer: 3d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00007981 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(1\/3)*n)\/(n\/(n\/n**(-10))))**(-5)*(((n*(n*((n*n*n*n\/(n\/(n\/n**(-1)))*n)\/n*n)\/n*n)\/n)\/n)**(-4\/9))**32 assuming n is positive.\nAnswer: n**(-142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 7*b. Let n(z) = -118*z + 6*z**2 + 6*z**2 - 3*z**2 + 53*z + 58*z. Calculate n(i(q)).\nAnswer: 441*q**2 - 49*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*x**5 + 322*x**4 - 1854*x**3 + 2952*x**2 - 1675*x + 246 = 0. What is x?\nAnswer: -41, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 153491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 16418 in 38, -1\/4, -3?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -2.79 times -0.2\nAnswer: 0.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 - -3686?\nAnswer: 3700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/61 in -5, 5, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -15 + 20. Suppose -2*f + a*f - 78 = 0. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**3 + 7*g**2 + 8*g + 166. List the prime factors of b(12).\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 191048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -15 + 17. Let w be 51\/(-9) + (-1)\/3. Let l = w - -8. What is the remainder when l is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-252)\/(-66) + (-2)\/(-11) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times 406031\nAnswer: -121809.3","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(1\/6))\/(p\/(p*p**(-15)*p*p)*p*p*p) assuming p is positive.\nAnswer: p**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 - -2. Suppose 0 = 3*d + 2*d + 4*s - 81, 4*s + 49 = x*d. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 39241110 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-1\/9)*(q*q**(2\/11))\/q assuming q is positive.\nAnswer: q**(7\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -5*p**2 + 576*p - 535. Calculate the least common multiple of 4 and i(114).\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 7*g + 9. Give a(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 118231092 divided by -4\nAnswer: -29557773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 471 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 29890 and 65758?\nAnswer: 328790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 143, 2, -5, 10 in decreasing order.\nAnswer: 143, 10, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes after 8:19 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 49*y**3 + 1785*y**2 - 1032*y + 148.\nAnswer: (y + 37)*(7*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -37 + 43. Solve -i*z = 15 + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1 - 153\/372*3 and (-22)\/(-110) + 0 + (-79)\/(-10).\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {a: 3, x: 4, l: 1}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -2*t**2 + t - 2*t + t. Let i(q) = -8*q**2. Calculate i(y(a)).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 8060.896 centuries in decades?\nAnswer: 80608.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 1, 11404, -0.03, 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -271*y**2 - 5955*y + 178. Determine k(-22).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o\/(o\/o**(-3)*o))\/o)**(-1)\/((o\/((o*o\/o**(3\/10)*o)\/o))\/o**(-1\/14)))**(-18\/5) assuming o is positive.\nAnswer: o**(-3546\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (2 - (0 + (-1)\/(-3)))*90?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1587925 and 2375?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eetllweetwtteeettee. Give prob of picking 1 t and 1 l.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 4*n + 0*n + 20 = 0, 6 = -t + n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - -14 - (0 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 52609092 to the nearest integer?\nAnswer: 7253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from qaawwwwmmm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 5, -31, -69, 4 in descending order.\nAnswer: 5, 4, 0, -31, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 98 and 12374558?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4784 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that -4239*d**3\/8 + 123*d**2\/8 + 4239*d\/8 - 123\/8 = 0.\nAnswer: -1, 41\/1413, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 12 = 4*g, g + 12 = 2*w - 6. Solve 3 = -3*r + w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -n**3 - 19*n**2 + 71*n + 618. Let q be x(-21). Solve q*i - 5*t - 36 = 0, 4*t = 2*i - 13 + 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 + 121 = 63*r + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 0*u - 2*u**2 + 8*u**2 + 1 - u - 5*u**2. Let g(t) = 966*t**2 - 510*t**2 - 5*t - 450*t**2 + 5. Suppose x + 16 = 5*x. Determine x*g(m) - 20*a(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, z: 2, k: 1, t: 2, l: 1, v: 1}. Give prob of sequence vlkt.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the third derivative of -x**5\/60 - x**4\/3 - x**3\/2 - 50*x**2. Determine o(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:46 PM and 7:49 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 5 (b) 0.038 (c) 1\/4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*u**2 - u**2 + 2*u**2)*(-293*u - 19837 + 19837).\nAnswer: -293*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -6017, 1\/7, -8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -90.35 - -90. Let s = p - -0.15. Which is the second smallest value? (a) s (b) 0.03 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13.15 - 0.15. Let v = 1275.903 - 1276.903. Let o be (-13)\/5 + (-4)\/10. Which is the closest to v? (a) o (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 5\/152 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/22 + 2\/4. Let w = -319 + 170. Let h = -149.2 - w. What is the second biggest value in -0.4, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -473599.1*0.1\nAnswer: -47359.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 9508754 to the power of 1\/2, to the nearest integer?\nAnswer: 3084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2435?\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (-2 - -4) - (33 - 11 - 14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Solve -11*r + 10*r + 12 + 13 = -5*m, -m - 19 = -3*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10 and 156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -31339 - -31338. Let f be 2\/6 - (-17)\/3. Let n be (2\/f)\/((-2)\/4). Which is the closest to n? (a) q (b) 3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 - 3011?\nAnswer: -3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -2.210799 to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14.8 + 13.8. What is the closest to -0.1 in 0.5, g, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (13\/(-78))\/(4\/330*(-135)\/216)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -952 in 0.0514, -0.5, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*t**2 - 423493*t - 6456802 wrt t.\nAnswer: -6*t - 423493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = n - 1. Let u be w(3). Let b be u*(-172)\/(-8)*1. Suppose -b = -q - 5. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 175407*8.\nAnswer: 1403256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**3 + 39*o**2 - 74*o + 3. Determine b(37).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (5\/35)\/((-13)\/(-273)). Solve -5*q - 1 = b*m, -5*m + 3*m + 2 = 2*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-900)\/18*8\/(-80)*-5\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**2 - n + 2. Let p(d) = -d**3 - 6*d**2 - 3. Let g be p(-6). Let c be l(g). Let o be ((-6)\/c)\/(1\/2). Is o <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h**3 + 91609*h**2 + 91622*h - 1099320 = 0 for h.\nAnswer: -4, 3, 91610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 10*s - 19. Suppose 3*z - 54 = -s*w, z = -2*z + 5*w + 62. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 984.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = 23.7 + -24. What is the second biggest value in -6, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-5)\/(-3)*72\/40. Let k(r) be the first derivative of -1\/3*r**2 + 2\/9*r**l + 2 - 4\/3*r. Let k(s) = 0. Calculate s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -111111010 (base 2) to base 14\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 223668015?\nAnswer: 3, 5, 14911201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5933 + 17278\/3. Which is smaller: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:43 PM and 2:22 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 195692589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**46*i**(14\/13))**(9\/7) assuming i is positive.\nAnswer: i**(-5139\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 25, -0.029, 138 in ascending order.\nAnswer: -0.029, 3, 25, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t**3 - 18*t**2 + 2. Let p be q(18). Suppose 4*r - 2 = p, 5*r + 139 = a. Suppose -2*f + 470 = -a. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -473 + 469 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the first derivative of -7*h**3\/3 - 6*h - 11. Find the first derivative of o(d) wrt d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 41 - -6. Let u = r - 47.0000108. What is u rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*(-9)\/21*14\/(-9))\/((-1)\/141)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -24*j. Let r(o) = o + 1. Let y(t) = 2*r(t) - w(t). Let b = -1\/142 - -2876\/71. Calculate the common denominator of b and y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 1223\/141 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 607 a factor of 1011073869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -346*o**3 - 300*o**3 - o + 659*o**3 + 325*o**3 - 306*o**3.\nAnswer: 32*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 79 + -74. Which is the nearest to 0? (a) -3 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2002 and 13321?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 5*c**2 + 9*c - 11. Let l(b) = -3*b**2 - 5*b + 6. Let n(a) = -7*l(a) - 4*s(a). Is n(3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 18782766?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2446 = 59*a - 3969 + 1813. What is the remainder when 371 is divided by a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 44 + -42. Solve y*n - 10 = 7*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the third derivative of -d**6\/40 + d**5\/30 + d**4\/24 + 4*d**2. What are the prime factors of g(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -8\/943 and 20\/7?\nAnswer: 6601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.3 - 0. Sort -0.04, c, -1\/2 in ascending order.\nAnswer: -1\/2, -0.04, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -110 (base 2) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -7*h + 7. Let v(p) = -4*p + 6. Let y(n) = -16*n + 25. Let g(u) = -26*v(u) + 6*y(u). Let i(r) = -7*g(r) - 6*k(r). Does 14 divide i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 4*u + 1, 0 = y + 2*u + 4. Suppose 4*d = 2*r - y*d - 24, 2*d + 2 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 983695?\nAnswer: 5, 196739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -18a7654 (base 12) to base 3\nAnswer: -100210000222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-20)\/(-30)*3\/(-4). Let i = -4 + 3.9. Which is the second smallest value? (a) i (b) o (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 17894 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 499769776?\nAnswer: 2, 11, 2839601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-1\/13)*p**(-21)\/p*(p**(-9))**(-2\/21))**(-6) assuming p is positive.\nAnswer: p**(11586\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the first derivative of 241*x**4 + 218*x - 813. Differentiate u(v) with respect to v.\nAnswer: 2892*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -22*p - 10. What is the remainder when 118 is divided by q(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 42, 91, 150, 225, 322, 447, 606?\n\"Answer: v**3 - v**2 + 45*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -319c - -a78?\nAnswer: -2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -6 by -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-2)\/(-5))\/((-6)\/(-7050)). Suppose -s = -4*t - 38. Suppose 2*w = 2*k - 68, -2*k + w = k - t. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 + (6 - 8) - -12) + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 2070, 2070, 2072, 2076, 2082, 2090?\n\"Answer: x**2 - 3*x + 2072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 2005*c**2 + 351*c - 2. Does 62 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 17 + -12. Suppose 0 = h*c - 173 - 157. Suppose -6*f + 2*f = 3*p - c, -3*p = 2*f - 36. Calculate the remainder when f is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 278122457 is divided by 55624491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.61 - 0.71. Which is the closest to -0.1? (a) -5 (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**2 + 4*a + 2. Let h(b) = -3*b - 1. Let i = -6 + 2. Give i*h(j) - 3*t(j).\nAnswer: -3*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -2100303 (base 4) to base 3\nAnswer: -110201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(4\/3)\/l**5)**(-12) assuming l is positive.\nAnswer: l**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.576 + 0.076. Which is the nearest to 0? (a) 2 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -2*t**2 + 56*t + 601. Calculate the remainder when 20472 is divided by h(36).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1330274.\nAnswer: 2, 11, 23, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -234*r + 0 + 153*r + 1 + 74*r - 1.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 85820.\nAnswer: 2, 5, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 1 - 2)*(3 + 3 - 7)*(2*t + 2*t + 2*t)*(48 + 54 - 104) as r*t + s and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -30989714*a**4 - 2632*a**2 + 498*a - 5 wrt a.\nAnswer: -743753136*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1 + (-13)\/3)*54\/45. Let w = -0.7 + -0.2. Let u = w + 1. What is the closest to u in -3, 5, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v + 5*w + 100, 2*w = -v - 4*v - 125. Let h(r) = -r**2 + 2*r + 6. Let m be h(6). Let n = m - v. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.35*-706438\nAnswer: 247253.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -327.59075673 + 46.59075983. Let j = f + 281. What is j rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -5*y + 4, 3*g - 3*y + 2*y = 4. Suppose g*a - a - 50 = -5*n, -2*a = -n + 10. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*x + 0*x + x)*(-65 - 118 + 46)*(-1 - 1 + 0)*(-2 + 2 + 1) as q*x + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 - -8)*2\/4. Suppose -5*k + z*j = -10, 1 = -4*k + 3*k + 4*j. What is the units digit of 2\/(-4) - k\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 0, -3*c + 58 = 4*f + 52. Let d = 720 - 401. Suppose c*k = 3*k + 4*s - 177, -2*k - s = -d. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q - 4*j = -11 - 19, 2*j = -9*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 19\/6 - 3. Let l(s) = -17*s + 0 + 17*s**2 - 6 + 2 + 13*s**2 - 29*s**2. Let f be l(0). Which is the third smallest value? (a) 1\/2 (b) -1 (c) t (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14528 - -24513. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.014089234 to five dps.\nAnswer: 0.01409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -25210136*p - 209. Let d be g(7). Let u = d - -111171161. Round u to the nearest one million.\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 1 = -w, 4*w + 2 = -5*n + 6. Solve -2*j + c - 1 = 0, n = -j - 5*c + 2*c + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*l + 12*l - 15. Let n be ((-3)\/(-2))\/(l\/200). Let u = 38 + n. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2206 minus 20644.586?\nAnswer: -18438.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2 + 189\/(-12))*-4. What is the greatest common factor of 33 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = 30 - 32. Let z be ((-4)\/(-6))\/(4\/30). Solve -z*v + 17 = i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1.09 (b) -2\/5 (c) 1.2 (d) -5 (e) 2\/65 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 41, 3.657, 0.4, 6, -4.\nAnswer: -4, 0.4, 3.657, 6, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -14 - -8. What are the prime factors of 532\/21*m\/(-4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 2, x: 1, n: 1, r: 3, g: 4}. Give prob of picking 2 g and 1 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 146, 4, 5.\nAnswer: 4, 5, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2605 is divided by 201.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 30003333 (base 5) in base 8?\nAnswer: 712533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6314 divided by 1.\nAnswer: -6314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 216.1 times 0.0372\nAnswer: 8.03892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 201251 (base 6) to base 16.\nAnswer: 3dff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11 + (14322\/(-18))\/31)*(-9)\/6*1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g - 3*t = 5*g - 878, 5*g = t + 894. List the prime factors of g.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 50\/3 - (-7)\/21. Let a be 1*2\/(-4)*0. Suppose -5*x + h - 7 = a. Solve -q = -5*o + 3*o + 7, -x*o + 4*q + 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -11011001 (base 2) to base 14\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -0.1, 4, 0 in decreasing order.\nAnswer: 4, 2, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.3 + -1.2999982. What is p rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 49660 by -65.\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(525) + sqrt(525) + sqrt(525)*-2)\/(2*sqrt(1008)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9.1 in -0.5, 1.488, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + o = -18. Calculate the common denominator of (-1)\/((-168)\/38) - o\/(-8) and 71\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 49676 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-16)\/4)\/(10\/(-2))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v + 279 - 405. What is the remainder when v is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmwwmqmebbexwww. What is prob of sequence qw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4599 - 3949. Calculate the greatest common factor of c and 450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-127 + 41 + 28 - 148)*(-2*d + 3*d - 2*d).\nAnswer: 206*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.194 + -1.194. Which is the fourth biggest value? (a) -1\/7 (b) 0.2 (c) -8 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k - 6 = a + 4, -5*a - 8*k + 34 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the first derivative of o**5\/20 + 7*o**4\/12 + o**3 + o**2\/2 + 137*o + 85. Let m(i) be the first derivative of n(i). Calculate m(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 7, q: 3, w: 3, n: 4, u: 3}. What is prob of sequence uuww?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -40564*z**2. Let d(i) = 2*i**2. Give p(d(b)).\nAnswer: -162256*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 1\/297?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(152) + sqrt(152))*-1)\/(sqrt(32) + sqrt(64)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**3 - 1. Let z be t(1). Suppose z = -8*u - 0*u + 32. Suppose -u*j - 8*j = -60. Solve 5 = -j*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n + 13 = 37 + 36 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000025291 rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 4303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/52995 and -73\/180?\nAnswer: 635940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -2*p**3 - 9*p**2 + 3*p - 93. Give f(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (26*k**2 + 3 + 31*k**2 - 59*k**2 + 4*k)*(3*k - k + 0*k).\nAnswer: -4*k**3 + 8*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 32 + -1. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 10*g - 3. Calculate c(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-196)\/(-21)*15\/20\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 32684.236 rounded to the nearest ten?\nAnswer: 32680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -10111 (base 3) to base 4\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -29*y**3 - 55*y**2 + 33949*y - 11. Let t(w) = -16*w**3 - 30*w**2 + 16976*w - 6. What is -11*t(p) + 6*z(p)?\nAnswer: 2*p**3 + 16958*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 25433, 25438, 25447, 25460, 25477, 25498?\n\"Answer: 2*c**2 - c + 25432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-1)\/(-5))\/(10\/25)*0. Let k be (-2 + n)\/(0 - (-8)\/20). What is the tens digit of (-118)\/k*((-42)\/(-12) - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -1864*h. Let q(c) = 39*c + 24. What is i(q(n))?\nAnswer: -72696*n - 44736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**2 - r - 2. Let y(t) = -8*t**2 + 9*t + 14. Let x be (-7)\/(-6) + (-10)\/(-12). Let u(h) = x*y(h) + 14*n(h). Suppose u(g) = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -131*t - 2381450*t**2 + 131*t.\nAnswer: -2381450*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of 17505 and -327.\nAnswer: -5724135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is o in -599076*o**5 + 4891680*o**4 + 44134028*o**3 + 68085944*o**2 - 12175872*o + 516096 = 0?\nAnswer: -3, 32\/387, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3\/(-2)*2*-1. Suppose 37 = -3*y - m*a - 23, 5*y = 5*a - 100. Let f = y - -27. Calculate the smallest common multiple of f and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - -2) + -3 + (55 - 58).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*g - 7*g - 15 = -57 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 4*y + 23. Suppose 9*b + 10 = -35. Let w be o(b). Solve -s + 12 = -5*s, 4*s + 21 = -w*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 4 + 2, 3*g + 3*z - 18 = 0. Suppose -g*i = -2*d + 4*d + 8, d = -i - 1. Let x be 0 + 2 + (0 - -1). Sort i, x, -2 in ascending order.\nAnswer: i, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 55\/217412 and -7\/4.\nAnswer: 217412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 180584920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4 + -464?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 7, s: 2}. What is prob of sequence stst?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t\/t**44))\/t*t**(-2\/9) assuming t is positive.\nAnswer: t**(385\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-4 - -5)\/((-2)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -69 + 69. Is 26 a factor of (468 - 4 - a) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(560)\/sqrt(5) + -4 + sqrt(63) + 1)**2.\nAnswer: -98*sqrt(7) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (-6*n + 6*n + 3*n**2)*(257*n - 109*n - 407 + 411) in the form p*n + t*n**2 + l*n**3 + f and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 15387 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -14 (base 14) to base 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 314 and 1727?\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 904360?\nAnswer: 2, 5, 23, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7403?\nAnswer: 11, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**3 + 32*a**2 + 340*a + 3364. Calculate i(42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5312, 5549, 5786, 6023, 6260?\nAnswer: 6497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4409*z + 4411*z - 1 + 1.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**(1\/2))\/j**(-3\/4))**(-30)*j**(1\/7)\/(j**1*j*j*j)*j*(j\/(j*j**(2\/9)))\/j*j*j*j\/j**(-3\/5) assuming j is positive.\nAnswer: j**(-42827\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 30203230 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 0 + 6 - 4 + 17*g**2 - 7*g**2 - 4*g. Let q be x(1). Solve 2*z = -0 - q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*a**4 - 11*a**3 - 2080*a**2?\nAnswer: 48*a - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + 10, 43*r - d - 499 = 40*r. Does 60 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o = -4*o + 8. Put -4, o, 7 in decreasing order.\nAnswer: 7, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -559 < -5444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81212 is divided by 38294.\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 285*t**3 + 11*t**2 + 39. Let q(k) = -57*k**3 - 2*k**2 - 8. Let b(j) = -2*f(j) - 11*q(j). What is the derivative of b(h) wrt h?\nAnswer: 171*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y + 5*y - 4*y - y**2)*(136*y - 651*y - 43*y).\nAnswer: 558*y**3 - 558*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -4*l + 3 + 5*l + 0*l + l. List the prime factors of o(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the first derivative of -2*t**2 + 7*t - 19. Let c(a) = 3*a - 6. Determine 6*c(b) + 5*o(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1202 + 223?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -330 times 458.177?\nAnswer: -151198.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -15*z**2 + 9. Let t(a) = 11*a**2 + 2*a - 6. Let h(b) = 3*r(b) + 4*t(b). Let n = -11 - -20. What is h(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 4*y**2 - 188*y - 7. Let d(k) = -13*k**2 + 564*k + 21. Let t(q) = -3*d(q) - 8*v(q). Let j be t(27). Calculate the highest common divisor of 150 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1 - (2 - (-21)\/(-6)). Let r = 16.1 + 6.7. Let n = 22.8 - r. What is the closest to g in n, 3, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**2. Let j(w) = -70*w**2. Determine j(h(y)).\nAnswer: -70*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*t - 280 = 47*t. Solve -4*g + t = 3*i, 9 = 4*g + i - 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1900)*2 - sqrt(1900) - (sqrt(76)\/sqrt(4) + 1).\nAnswer: -1 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1306 + 242*u**2 - 553*u**2 - 37*u**2 - 151 - 826*u**2 wrt u.\nAnswer: -2348*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 4 - 12*o + 2*o + 4*o + 9*o. Is m(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2122 (base 4) to base 5.\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/2*-1*3. Let a be (3 - b)*(-2)\/4. Let f = 0 + 1. Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/118 and 81\/8?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j + 29 = 103*y - 102*y, 5*j - 20 = 5*y + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5900764 to the nearest integer?\nAnswer: 2429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*d = 5*n - 17*d - 25, -2*n - d - 2 = 0. Let s(v) = 6*v**3 + 8*v**2 + 2*v - 6. Let l(r) = r**3 + r**2 + r - 1. Calculate n*s(b) - 5*l(b).\nAnswer: b**3 + 3*b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*p - r - 1, -23 = 53*p - 54*p - 3*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -0*n + 4*n. Let i = 215 + -223. Let r = i + 14. Calculate the lowest common multiple of n and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121) - sqrt(121)*-1)*-5 + sqrt(121))\/(4*(sqrt(11) - 4*sqrt(11)))*-6.\nAnswer: -9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4050299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -3*(-3*sqrt(130)*1 - ((sqrt(130) + sqrt(130)*2 + sqrt(130))*1 - sqrt(130)))\/(sqrt(250)*1*2 + sqrt(250)))**2.\nAnswer: -24*sqrt(13)\/5 + 568\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -31, -61, -93, -127, -163, -201?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 621 + -627. Let o(m) = -m**3 - 7*m**2 - 7. Give o(l).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-84)\/175)\/((-42)\/45)*(-42)\/(-18)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*p**3 + 24*p**2 - 60*p + 48.\nAnswer: -3*(p - 4)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -4 (b) -1\/624 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -170d9 (base 14) to base 7.\nAnswer: -330362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -4662 - 143*f + 4662 as u + z*f and give z.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -40 - -22. Let w = y + 18.1. Sort 1\/5, -0.2, w in decreasing order.\nAnswer: 1\/5, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -149 in 9, 4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -18*j - 30. Determine o(-14).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51174?\nAnswer: 2, 3, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 173589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be -24*((-180)\/16 - -9). Put 5, 4, d in decreasing order.\nAnswer: d, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 692858458?\nAnswer: 2, 269, 1287841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the first derivative of 0*s - 78 + 1\/21*s**3 + 1\/7*s**2. Factor b(w).\nAnswer: w*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 58 = -5*w - 3*s, -4*w - 45 = -10*s + 11*s for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-120)*((-450)\/(-12))\/15.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/42*12\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -296 - -301. Suppose u*h + 11*g = 8*g, -1 = -2*h - g. Solve -9 = -h*x, -6*a + 2*x = -3*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.101466876 to three decimal places.\nAnswer: -0.101","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h**2. Let i(u) = -u**3 + 4*u**2 + 4. Let p be i(4). Let m be 1\/(-1 + 5\/p). Let d = m + 2. Let s(v) = -8*v**2. Give d*z(n) + s(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(-1\/4)\/o)**(-9\/4)\/(((o*o**(1\/5)*o)\/o)\/(o**(-1)*o)) assuming o is positive.\nAnswer: o**(-51\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v**2 + 8*v - 15*v + 11*v)*(-301*v + 2463 - 2463).\nAnswer: 602*v**3 - 1204*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -222 divided by -32?\nAnswer: 111\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6 and 52416.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x**(-1\/4)*x*x))**(-12\/11)\/(((x*x**(2\/5))\/x*x*x*x)\/x)**(27\/4) assuming x is positive.\nAnswer: x**(-846\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -516136, -516135, -516134, -516133, -516132?\nAnswer: -516131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2897\/2 + 1445. What is the third biggest value in -1\/4, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let v be 14\/16 + 5 + (-2 - 4). What is the fourth smallest value in v, 0, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 11*n - 14*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 + 9. Suppose -4*l - 5*t + 5 = 0, 4*l - 3*l - q*t = 20. Suppose -7 = 4*p + 5, 3*v - l*p - 132 = 0. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.04*-0.107.\nAnswer: 0.00428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 129?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*t - 9 - 576 = 0. Let d = t + 70. Suppose 2*g + 0*g - 3529 = -d*x, 8865 = 5*g + 4*x. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 452 = -28*g + 60 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (5\/(-35))\/((-1)\/(-23)). Let m = i - -131\/42. Let l = -0.27 - 0.73. Which is greater: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-442)\/2652*(-2)\/(-4)*2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 4*r - 398 - 63, 5*i + 565 = 5*r. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*n**3 + 287916*n**2 + 3*n - 287916.\nAnswer: -3*(n - 95972)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-288)\/(-28))\/((-4)\/(-126))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -148 and 4?\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-8) - (297\/(-8))\/(-9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) -1 (b) 16 (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 0 + 1 + -3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5851 + 5875. Suppose -z + 48 = -23. What is the remainder when z is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (6\/15)\/((-4)\/(-20)). Suppose 4*j + 4 = 0, -7*c - n*j + 46 = -3*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m - 12 = -3*a, 5*m + 11 = -2*a - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65 = -6*z + 319. Solve -27 + 3 - 25*m + z*m**2 - 65*m**2 = 0 for m.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -23*f + 51. Let q(d) = 8*d - 18. Let m(k) = -6*i(k) - 17*q(k). Suppose -3*x - 4 = -p, x = 6*x + 15. Let g(z) = -z. Determine p*m(u) - 8*g(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1.1964 * 1595\nAnswer: -1908.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**2 + 10*u - 9. Let d be o(-12). Suppose -70 = -20*t + d*t. Suppose -t + 8 = -3*k. Solve k = -4*m + 2*h, -19 = m + 2*m + 2*h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:55 PM and 12:40 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 195719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, v: 1, j: 2, m: 6, f: 1, q: 5}. Give prob of sequence umf.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-5 + (sqrt(500) - -1*sqrt(500)) + sqrt(500) + (sqrt(500) - (4 + -1*sqrt(500)))) + -4 + sqrt(500) + sqrt(500)*3 + 2 + sqrt(500) + 4)**2.\nAnswer: -18800*sqrt(5) + 202209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-10)*25*(-1463)\/(-385).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence li when two letters picked without replacement from iimml?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2*1.56\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*c - 3 + c**2 + 2*c**3 + 4 - 1 + 616*c**4 - 615*c**4 to the form z*c**3 + t + g*c + v*c**4 + k*c**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d = -5 - 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 8*m + 2. Let u = -202 - -199. Calculate z(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -1323*z + 1305*z - 10 + z**3 + z**2 + 3*z**2 + 2*z**2. What is the hundreds digit of a(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes before 8:56 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 890 - 893.77. Let g = k + 3.6. What is g rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -3150816*p**2 - 50*p - 366. Let g be j(-7). What is g rounded to the nearest one million?\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:43 PM and 2:19 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 14 (b) -38\/21 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 471, 951, 1427, 1899, 2367, 2831?\nAnswer: 3291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 7*h + 5929 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**5 + 0*f**5 - 18*f**3 + 12*f**3 + 3*f.\nAnswer: 3*f*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i + 6*i - 8. Suppose 52 = i*z - 26. Let t = z - 26. Calculate the remainder when 24 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*j**2 + 315864519*j + 90247006.\nAnswer: -(j - 45123503)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 28787125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fffffkfffffff. Give prob of picking 2 f and 1 k.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**2 + 6*f + 12. Let h be v(-9). What is the units digit of 1\/((3\/h)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:44 AM and 2:17 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44 = 5*b - 66. Suppose -11 + 1 = r. Let f = r + b. What is the greatest common divisor of f and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) be the second derivative of -t**3\/6 + 5*t**2 - 3*t. Let z be k(14). List the prime factors of (-2)\/(312\/(-76) - z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 + 131 = -3*q. Is q at least as big as -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(1\/3))**8)**(-18)\/(t**3*t\/(t*t**(2\/5)))**(-20) assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -1 + 3. Let t = 56 + -36. Let l = t + a. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/18, 0, -43, -0.1.\nAnswer: -43, -0.1, 0, 1\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, g: 1, j: 1, a: 2, k: 3, e: 3}. What is prob of picking 2 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3413*w = -6699*w - 119060 - 170108 for w.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 3*o - 8 = 0. Let t be 78\/o*(-32)\/(-24). Calculate the highest common factor of t and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(45) - (-2 + sqrt(180)\/sqrt(4))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be 12\/20 + (-1071)\/(-15). Let r = 120 - g. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 j, and 1 v when three letters picked without replacement from {v: 2, q: 10, k: 4, u: 1, j: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = -4 + 184. Suppose 0 = 7*i - 2*i - u. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.42 + -0.12. What is the closest to j in 5\/4, 0.3, 4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(95) - (3*(sqrt(95)*-3 - sqrt(95)) + sqrt(95)) - 4*-6*sqrt(95))\/(-3*sqrt(55)\/sqrt(11)*1*2))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 45 and 1665?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r**4\/3 + 1789*r**3\/3 + 69682*r**2\/3 - 468064*r\/3 + 214368 = 0. What is r?\nAnswer: -44, 2, 4, 1827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 7030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z = 3*t - 76, -837*z - 22 = -4*t - 838*z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 117 a factor of 2541839157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert eabc (base 15) to base 6.\nAnswer: 1021553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (10*-1)\/2 + -7 + 8. Let b(x) = -x**3 - 5*x**2 - 3*x + 6. Let o be b(u). Solve 20 = -3*t - o*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*x**3*y**2 + 108*x**3*y + 16*x**3 + x**2*y**2 + 12*x**2 + 173*x*y**2 + 2*y wrt y?\nAnswer: -10*x**3 + 2*x**2 + 346*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (3\/6)\/(23\/276). Suppose 8*i - 3*i - 110 = 0. Let q = 37 - i. Solve 0 = -f + k*f + q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4009273799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -20*h + 30*h - 110 + 20 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 14442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.8, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*f - 5*f + f + 0*f + f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -305, -764, -1383, -2162?\nAnswer: -3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-306)\/3876*12\/9.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 89 minutes before 10:21 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxgxxxhxhghnn?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 4*o = 2. Let g(z) = -z. Let t(l) = -13*l - 1. Let w(k) = -22*g(k) + 2*t(k). Let x be w(o). Solve -4*m + 17 = -b + 2*b, x*m = -4*b + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 - (1 - 0 - (20 + -19 - 1)) - -10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) 2\/9 (c) -1 (d) -1\/9 (e) -1\/19 (f) 0.2 (g) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -18*y**2 + 5*y - 4. Let d be f(-4). Let g be 978\/(-10) - (d\/40 - -8). Let k = g - -231. List the prime factors of k.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9880570 a multiple of 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2.1036 rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 39 + -9. What is the smallest common multiple of h and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 1 - 2*r + r + 0 + 0 + (1 - 1 - 1)*(-1 - 2*r + 1) - 1 - r + 1 + 107*r - 11712 + 11712 - 23*r + 195*r - 5*r in the form f + k*r and give k.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 4361031572 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -186 + 749\/4. Suppose 3*p = -0*p - 6, -11 = -h + 5*p. Sort 2\/7, h, n.\nAnswer: 2\/7, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from qhqfcc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 5*w = -35, 12*u - 15581*w - 48 = -15577*w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*n**2 + 4*n**4 + 6*n**3 - 10*n**3 - 12*n**3 - 6*n**4 = 0. What is n?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g + 25 - 5. Suppose -k = 2*k + 3*z - 18, g*k = -3*z + 21. Is -2 + k - (-22 - -1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 - -4. Suppose -7 + 1 = -x. Let w(s) = -s + 6. Let d(g) = 1. Give b*w(i) + x*d(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 24 + -9. Let u = 211 + -144. Suppose u*n + 110 = 77*n. Calculate the remainder when q is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4724 - 145?\nAnswer: -5071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 133 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y be 5 + 0 - -3*5\/(-15). Solve 6*v = 10*v - y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x - 3*r = -5*x - 2, -17 = 4*x - 3*r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(132)\/(2*sqrt(12)) + (sqrt(88)\/sqrt(2))**2 + -6*(0 + -1 + sqrt(11))*3.\nAnswer: -35*sqrt(11)\/2 + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6602*a**3 + 190*a - 190*a + 7*a**2.\nAnswer: 6602*a**3 + 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -209, -657, -1333, -2237, -3369, -4729?\nAnswer: -6317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-17 - (32 - 18) - -69) + -127?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.11 - 0.49. Let x = -0.6 - y. Let o = 8.17 + -9.17. Which is the nearest to -0.1? (a) -5 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3659838 and 364?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 5273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 53524 + -53529. Let r = 38 + -23. Which is the biggest value? (a) v (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1225 a factor of 15859591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3275*h**3*u + 25*h**3 - 300241*h**2 - 7*h*u**3 - h*u wrt u?\nAnswer: 3275*h**3 - 21*h*u**2 - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -331100 (base 4) to base 12.\nAnswer: -2328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -28 - -26. Let i be 5 - (0 - (2 - 6 - p)). Solve d = -i*l + 15, 3*d - 5*l = 2 - 27 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 45644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 585 and ((-18)\/(-63) - 752\/84)*-120?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 2*o - 21 = 0. Suppose -i = -2*i + 4*u - o, -3*u = i - 7. What is the first derivative of 0 + i - s - s wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the first derivative of 11\/3*y**3 + 5\/2*y**2 - 14 + 6*y - 1\/4*y**4. List the prime factors of v(11).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 138 - -103. Let z = n + -239. What is the third smallest value in -3, -0.4, -4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 608 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, -11, 8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 3*z = -3*b + 156, 2*b - 94 = 4*z. Suppose -5*i = b + 57. Let g = i + 40. Calculate the remainder when 177 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 309977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q = 104 + 28. Let i(y) = 41*y**2. What is the remainder when i(-1) is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -273176 to the nearest one thousand.\nAnswer: -273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -459.05 + 463. Let x = -3.65 + z. Which is the biggest value? (a) -2\/7 (b) x (c) 8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l = -2*m + 60, 6*m - 8*m - 18 = l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) -5\/8 (b) 5 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -4*z**2 + 264*z + 2350. Give v(-9).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 91409 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be (30\/8)\/(16\/(1792\/21)). Solve -4*t + 3 + 1 = -3*d, -g = -5*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*h - 2*h - 3*h)*(16*h - 16*h + 6*h**2) to i*h**2 + j*h**3 + q + s*h and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Total of -823.9919 and 2.035907.\nAnswer: -821.955993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**2\/19 + 5652*h - 322146\/19.\nAnswer: -2*(h - 53691)*(h - 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add -136975 and 0.29.\nAnswer: -136974.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 464458 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 139411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*y**3 - 7*y**3 + 275 - y - 12*y**3 + 26*y**3.\nAnswer: -y**3 - y + 275","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 270339.9 months to centuries.\nAnswer: 225.28325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3.05 - -0.05. Put -5, d, 1, -1\/2 in decreasing order.\nAnswer: 1, -1\/2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1712267 * 0.5.\nAnswer: -0.08561335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 9*z**3 - z**2. Let b(w) = 25*w**3 - 169*w**2. Give -b(v) + 2*u(v).\nAnswer: -7*v**3 + 167*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sum 323.2 and -43.178284.\nAnswer: 280.021716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m = 2*d - 7, 4*m - 7*d = -4*d - 2*d - 41 + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 130128763 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12677, -25359, -38043, -50729?\nAnswer: -63417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 7*a - 18 = -2*m, 2*m = 5*a + 21. Suppose -3*o - 18 = -2*q - 6*o, 2*o = -2*q + 16. Solve q*g = 3*g - m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.01362 - -1.98638. What is the smallest value in -3\/4, d, -0.4, -0.5, 24?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 - (4 + 1 + -3). Suppose d + d = u. Let m = -2 + 2. Is d != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -37468, -37429, -37346, -37207, -37000?\n\"Answer: 2*u**3 + 10*u**2 - 5*u - 37475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**3 + 3*r**2 - 10*r + 21. What is y(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 24 = o. Let p(w) = 2*w + 16. Let d be p(-7). Suppose -3*c = -2*l + 26, 4*c - 13 = l - d*l. Do o and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 + 5*s - 4. Let g be f(-6). Suppose -4*x + 6 = l, -x = -g*l - 6*x + 9. Suppose -3*d + 17 = l. What is the highest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.1 - 14.1. Which is the smallest value? (a) m (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, c: 2, e: 1, m: 2, k: 1, d: 1}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 44*y = -39*y - 1103, 2766 = 5*f + 4*y. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -2*b - 120. Let v(l) = -4*l - 1. Determine r(v(k)).\nAnswer: 8*k - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, u: 8, m: 4}. What is prob of picking 1 m and 1 u?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be 10\/(-35) - 186\/(-14). Solve w = -3*g - 5*o, -5*g + 6*o = 2*o - 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.2 + 0.4. Let r = 3 - 3. What is the nearest to r in 2\/7, -2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3255692621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 10234 + -1400?\nAnswer: 4434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**2 + 5*j - 4. Let g be q(-5). Let z be g\/(-18) + 392\/18. Suppose -5*h + 8 = -z. Let t(d) = -3*d**2. Let n(b) = -3*b**2. Determine h*t(f) - 5*n(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1192\/7 + 10742\/63. Let u = 0.5 + -1. What is the closest to k in -2\/17, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 2*d**3 + 443*d**2 + d + 87. Let a(g) = -6*g**3 - 1330*g**2 - g - 261. Let f(w) = 3*a(w) + 8*x(w). What is the second derivative of f(u) wrt u?\nAnswer: -12*u - 892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, -0.1, 0, -17\/3, 1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*z = 51*z - 11*z - 318160. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 - 5. Suppose -6*n + 5 + 19 = 0. Suppose 0 = -w - 0*z - n*z + 12, 0 = -i*w - 4*z + 12. Solve -o = -w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(153)*-3 - (3 + sqrt(153) + sqrt(153))*3) + 0 + -1)**2*-2.\nAnswer: -25028 - 1188*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:09 PM and 4:27 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 945 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: Suppose -3*u = 5*q - 252 + 28, -3*u - 4*q + 223 = 0. Suppose 2*z + 2*z - 12 = 0. Suppose z*y = 67 + 8. Calculate the remainder when u is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 9005221.2 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 1210 + 1205 = 0. Let q = -259 - -395. Does 5 divide (q\/28)\/j*-7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 214470\/25 - (-22)\/110 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the first derivative of c**6\/4 - 3*c**5\/10 - 9*c**4\/8 + 5*c**3\/2 - 3*c**2\/2 - 2. Factor m(t).\nAnswer: 3*t*(t - 1)**3*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 102*-55*304\/1563320?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**3 - 15*x**2 - 7*x + 108. Determine y(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(4) - sqrt(16)) + sqrt(4))\/sqrt(2) + -6*-2*sqrt(2))*4.\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add together -10.8367 and 1.3111096.\nAnswer: -9.5255904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -i**3 - 768 + 2*i**2 + 768 + 3*i**3.\nAnswer: 2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 480.04 milligrams to grams.\nAnswer: 0.48004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -17 (base 11) to base 3.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12212 + -11775.36. What is c rounded to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/10 + 40\/28 + (-160)\/112?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_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 851.9 minus 0.2553136629?\nAnswer: 851.6446863371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 43659.33ml?\nAnswer: 43.65933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be 11\/3 + ((-5)\/3 - -2). Suppose -f*l + 4*g = 5*g - 161, -2*l - 4*g = -84. What is the remainder when l is divided by 10 - (-2 + -1 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -347*d + 3827. Determine z(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 23*a**2 - 1. Let i(d) = 115*d**2 - 222*d**2 + 109*d**2. Give j(i(r)).\nAnswer: 92*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + c + 3*a = 15, -2*a = 2. Let k be 3\/2*(-2 - 30\/(-3)). What is the greatest common factor of c and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46.292375 rounded to 2 dps?\nAnswer: 46.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47 is divided by 104\/156*(-21)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**2 - 10*p + 25. Let j be i(5). Sort 3, -1, 4, j in decreasing order.\nAnswer: 4, 3, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 50575 (base 10) to base 11\nAnswer: 34aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6 - (-960)\/(-165) - 93\/(-33). Find z such that 18*z - 3\/2*z**w + 24 + 0*z**2 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that a**5 - 615*a**4 + 87263*a**3 - 581049*a**2 = 0.\nAnswer: 0, 7, 207, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -80 plus 451823.9?\nAnswer: 451743.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-18)\/((1 - 35\/40)*-3). What is the closest to -0.1 in -2, p, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 90682668 to the nearest integer?\nAnswer: 9523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (120\/35)\/(20\/(-15705)*(-18)\/84)?\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 4*c + 11, 8 = -c - 3*c + 4*t. Let u be ((-4)\/c)\/(6\/30). Suppose -u*n - 6*n + 20 = 0. Solve -n*w + 0*w = -5*b + 20, -5*w - 3*b = -12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f**2 - 6*f + 7. Calculate a(6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/11, -5, 2\/7, 23\/4, 5, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -5 + 0 - 3*b + 12*b - b**2. Let k be m(8). Suppose k*h - 110 = -2*h. Calculate the highest common factor of h and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 2*z - 417 = 0. Suppose 0 = 5*v - z + 14. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4.8 + -25.8. Let h = 19 + y. Suppose 10 = 3*g - g. Put g, h, -2\/11 in descending order.\nAnswer: g, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 5*l - 16. Let b(i) = 7*i**3 - 8*i**2 + 12*i - 13. Let c be b(2). What is the highest common factor of c and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-35)\/(-2))\/(1\/2). Suppose -d = 2*y + 2*y - 303, 4*y = d - 327. Calculate the highest common divisor of u and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 1 p, 1 m, and 1 b when four letters picked without replacement from {y: 3, m: 3, p: 1, b: 2, u: 2, w: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(1\/((-610)\/(-5))). Differentiate -32*c**4 + 4104*c - 4104*c - q wrt c.\nAnswer: -128*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*y - 2*y + 0*y)*(-6*y**2 - 7*y**3 + 11*y**2 - 4*y**2).\nAnswer: -14*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*b + 14 = -0*b + 74 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 2 v when three letters picked without replacement from trccvcccctttrtcctc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i = -6*i - 7*o + 63, 55*i = 53*i - 4*o + 36 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 0 - 5561?\nAnswer: -5561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 13 - 28)*(-15*m + 5*m**2 + 12*m + 5*m).\nAnswer: -115*m**2 - 46*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 1.483, -461, 0.1 in increasing order.\nAnswer: -461, -5, 0.1, 1.483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -175525.3869 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -2.39290149 to 3 decimal places.\nAnswer: -2.393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 175*d + 899. Give y(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-12)\/(1*(-1)\/25). Suppose -3*j - 2*j = -30. Is 7 a factor of t\/21 + j\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1033 + -22?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -22*d - 9*d**2 - 24*d - 27 - 18*d - 3*d**3 + 19*d - 12*d**2.\nAnswer: -3*(d + 1)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 44 divide 55440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -24 - -11 - (-10 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/26602 and -5\/564.\nAnswer: 159612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, g: 1, p: 1, f: 1, t: 1}. Give prob of sequence fp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -101111 - 1?\nAnswer: -101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8532.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -600, -221, -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41 = -3*s - 5*m - 13, 0 = -5*s - 3*m - 74. Let r = 17 + s. Suppose 52 = -3*u + r*u. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) 1935 (c) -2\/7 (d) -4 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 5611 (base 7) to base 15\nAnswer: 8e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 20 - 45. Let s = 1 - o. Let m = -14 + s. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -2 (b) -0.035035 (c) -38 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from mcrllxd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 98.15117 weeks?\nAnswer: 16489.39656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-6 - 10) + 37 - 13) + (-2 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3757313*a*m + 4425336*m wrt a?\nAnswer: -3757313*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 12 - 1150?\nAnswer: -1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -3*u**4 - 876*u**3 + 6261*u**2 - 5382*u = 0.\nAnswer: -299, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -4*i**3 - 40*i**2 + 194*i - 6. Let u(g) = -8*g**3 - 80*g**2 + 413*g - 13. Let k(j) = -13*b(j) + 6*u(j). Find r, given that k(r) = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 847, -2, 0.4?\nAnswer: 847","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 9*l**2 - 7*l - 5. Let p(i) = -11*i**2 + i + 4. What is -3*a(u) - 4*p(u)?\nAnswer: 17*u**2 + 17*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes after 7:50 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 2 + 5)*(-16*j + 28*j + 40*j).\nAnswer: 208*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -6 (base 13) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -11, 8, 27, 46?\n\"Answer: 19*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = 2*j + 46, j = -9 + 16. Solve -p*m = 21*m + 33 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 69 - 49. Let v = q + -18. List the prime factors of -3 + 11 + 4 - v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18817 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -5*j + 70. Let o be t(13). Solve -3*k - o*r = -0*k + 22, -3*r = -4*k + 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18085538351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1536523, 1536524, 1536525, 1536526, 1536527, 1536528?\n\"Answer: i + 1536522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -134, -737, -2362, -5519, -10718?\n\"Answer: -85*u**3 - u**2 - 5*u - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-7)\/(105\/(-36)))\/(61\/(-305)) + 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000658118 rounded to seven decimal places?\nAnswer: 0.0000658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 41946 + -41942. Solve 0 = -4*n + 4*f + s, 0 = -4*n + 4*f + f + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 1747 = -3*s, -2*s - a - 1169 = -0*s. Is s equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-14924)\/(-234) - 67) + 0 + 1\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(132)*-3 - sqrt(132)) + (sqrt(132) - (sqrt(132) + (-1*1*sqrt(132) - sqrt(132)))))\/(((-2*sqrt(24) + sqrt(24))*5)\/sqrt(2)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10020620 or 10020621?\nAnswer: 10020620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add together 31274.029 and 4.829.\nAnswer: 31278.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.16, -4\/7, -180, 0.4, -5, -8.\nAnswer: -180, -8, -5, -4\/7, 0.16, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2.85 - 3. Let o = -0.1506 - l. Round o to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6932 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 10 = -c - c, 2*d + c - 10 = 0. Suppose -d*y - 3 = -4*y. Put 4, y, -4 in decreasing order.\nAnswer: 4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 69\/6926300 and 71\/60951440?\nAnswer: 304757200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4283 + 13198*q - 4283 to y*q + n and give y.\nAnswer: 13198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 34, 4, -0.3, 12, 0.5 in descending order.\nAnswer: 34, 12, 4, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyyyygyggg. What is prob of sequence ygyg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 5847444739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -5*h**3 - 6*h**2 - 8. Let o(c) = 4*c**3 + 5*c**2 + 7. Suppose p + 3*k = 8, -p - 8 = -k - 0*k. Let v be (9 + (p - (3 + -3)))*-1. Give v*d(j) - 6*o(j).\nAnswer: j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-63)\/(-14) + 4\/8. Put -3, -5, w, 15 in descending order.\nAnswer: 15, w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 4*f - 121 - 28 = 0, 0 = 4*f - 8. Let a = b + -30. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (sqrt(128) - (sqrt(128) + sqrt(128)*4)) - (sqrt(126)\/(sqrt(112) + sqrt(7)))\/sqrt(9))*5.\nAnswer: -161*sqrt(2) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 10*c**2 - c + 6. Let b be 325\/(-130)*(-1 - 6\/10). What is the hundreds digit of k(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.0337, -4, -7 in decreasing order.\nAnswer: -0.0337, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes before 1:54 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -387 + 673. Suppose -c*d + 8 = -284*d. Solve s + 0 = d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 52*s - 422455 - 450261. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -820*g - 24 = -817*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes before 1:44 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 10796146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 5*q - q - 8*q**2 + 8 - 8 as o + l*q + i*q**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzgzgzz?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j + 1 - 10*j + 38*j**2 - j**3 - 19*j**2 - 12*j**2. Let z = 6 - 8. Let q(b) = b**3 - 13*b**2 + 18*b - 1. Let f(k) = z*q(k) - 5*v(k). Factor f(l).\nAnswer: 3*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (8\/(-60)*5)\/(686\/(-12)) and -62\/35.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 2*y. Let d(l) = 4*l. Let s(n) be the first derivative of -n**3\/3 + n**2 - 2*n - 4. Let x be s(2). Let a = 10 - 5. Give a*j(b) + x*d(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 7.79 and -1.13?\nAnswer: -8.8027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 19 = -875*x + 880*x + 2*y, -5*y - 35 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0 + 0 + 11 + 145 + 3897\/(-27)\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 304756717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -8*u**2 + 78*u - 15. Let d(i) = 3*i**2 - 39*i + 9. Determine -5*d(p) - 3*v(p).\nAnswer: 9*p**2 - 39*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3\/34 - 87\/170. Let m = 22.4 - 22. Let y = -4 + 4. Which is the closest to y? (a) -0.5 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8 - 1 - 3)*(-5 - 2*x + 5) - 5*x + 3*x - 4*x + 27*x + 0*x + 31*x + 7 + 5*x - 7 to o + l*x and give l.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2538947*n*q + 4*n + 8916439*q wrt n.\nAnswer: 2538947*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 29a6b (base 14) in base 13?\nAnswer: 381bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-5 - -7) + (4 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes after 11:08 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 61983893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/26)\/((-1224)\/1768)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-15)\/(-54)*(-375083)\/5. Let f = v - -20845. Find the common denominator of (-203)\/(-24) - 2\/(-3) and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/5 in -0.3, 4\/7, -1\/91?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i + 306 - 790. Let c = i - 70. Suppose -5*a - 49 = -x, 0*a + 19 = x + 5*a. What is the highest common factor of c and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 367 = 8*w + 111. What is the least common multiple of w and 36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -4*y + 20, 4*y + 19 - 3 = -4*z. Sort -2, z, 5 in increasing order.\nAnswer: z, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {s: 10, g: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 968710.\nAnswer: 2, 5, 73, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -37413 (base 8) to base 14\nAnswer: -5c4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 92, 89, 86, 83?\n\"Answer: -3*s + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k - 32 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from {w: 1, i: 2, b: 2, t: 6}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -27\/2091140 and 11\/7695.\nAnswer: 169382340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**4 + 104*o**3 - 1492*o**2 + 7536*o - 12672.\nAnswer: -(o - 88)*(o - 6)**2*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**3 - 3*r**2 + 5*r + 6. Suppose -2*n - y = -11, -4*n - 4*y + 29 = -n. Suppose -o = -a - 5, -7 = n*a + o + 4. Calculate w(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3539.758 grams to micrograms.\nAnswer: 3539758000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1584 divided by 25\nAnswer: -1584\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j - 4*p - 9 = 0, 6 = -j + 175*p - 173*p + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 20295?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*s - 1561 = -2*z - 29*s, 3*z - 2334 = -3*s. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1761143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the third derivative of 3*s**6\/40 - 11*s**5\/60 + 9*s**2. What is the third derivative of r(w) wrt w?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**3 + 8*d**2 - d + 1. Let u be l(-8). Let o = -11 - u. Let j be -7*(-4)\/o - (-6)\/15. Put 4, j, 1 in descending order.\nAnswer: 4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from aajajjajajjaaaaj.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 220622 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 164622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.446*-6.\nAnswer: -2.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (714 - 217*t - 100*t - 714)*(-39 - 7*t + 39)*(1 - 1 - 1).\nAnswer: -2219*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-129)\/58480*-10*-8.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**3 + 9*k**2 + k + 142. Let g be p(-10). Suppose 123*j - 131*j = -g. Solve 0 = 3*c + q + q + 15, -q = j*c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 606 - 1215 - 2*t**2 - 4*t**2 + 4*t + 607 + 5*t**2. Calculate v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10\/8 - (-1)\/(-12)*15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -90*x + 40*x - 350 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**3 - 8*n**2 - 21*n - 84. Let m be o(-9). Calculate the highest common factor of m and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/3 - (-56)\/21. Suppose 3*t - i = -0*i + 11, -2*t - k*i = 0. What is the third derivative of -8*u**6 + t*u**2 - 8*u**2 - 7*u**2 wrt u?\nAnswer: -960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(612) + 1 - sqrt(612))**2 - sqrt(119)\/(sqrt(49)\/sqrt(7) + sqrt(7)).\nAnswer: -sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 13380\/48 + ((-4)\/2)\/(-8). Let h = -2787\/10 + o. Find the common denominator of 69\/8 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -716, -2921, -6616, -11783, -18404, -26461, -35936?\n\"Answer: 3*t**3 - 763*t**2 + 63*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (1 + -4 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4 (b) 0.3 (c) -0.0411 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 20 = 4*k. Suppose -3*x - k = -x. Let o be 2\/(-3) - x\/6. What is the nearest to o in 1\/2, 2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a**3 - 21*a**2 - 24*a - 4 = 0.\nAnswer: -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -423\/80 - -13\/5. Let i = -135 + 1091\/8. Calculate the common denominator of i and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 13993, 28025, 42123, 56287, 70517?\n\"Answer: 33*n**2 + 13933*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 3, a: 1, k: 3}. What is prob of picking 2 u and 1 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 4*y + 13*y**3 + y**2 + 5*y**2 - 117 + 123 + 2*y. Let x(f) = -f**2 - f - 1. What is -6*x(a) - z(a)?\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**3\/z)\/z*z\/z**8*(z**(-6)\/z)**(-10\/7) assuming z is positive.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*r - 11*r + 24 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 96 a factor of 1219851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 3*x**3 + 4*x**2 + 2*x. Suppose -2*l - l = 6. Let b be i(l). Let a = -12 - b. Solve f + 2 + a = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -592*n**3 - 213*n**3 - 1025*n + 513*n + 514*n - 4*n**2 in the form v*n**3 + d + j*n + t*n**2 and give v.\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 0*u**2 - u**6 - u**2 + 0*u**2 wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0\/(8\/(5 + -1)*2). Suppose x = a + c - 9796 - 11262, a - 4*c = 21043. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*c = 10758 - 10797. Solve c*r + 3*w = w - 21, 0 = -r + 2*w + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -2*u + 26 + 17 - 7*u - 39. Let m(g) = 10*g - 5. What is 7*b(c) + 6*m(c)?\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/(-6)*297\/(-18). Suppose 0 = 2*p + 7 - 65. Suppose -4*m + n = -p. Solve m = -t - 2*z, 5*t = 5*z - 0*z - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes before 4:55 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) -50558 (c) -1\/2 (d) -0.2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15763, -31509, -47255?\nAnswer: -63001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -3369 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -2*y**3 - 35*y**2 - 4*y + 209. Determine w(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 24\/11 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32288, 32291, 32294, 32297, 32300, 32303?\nAnswer: 32306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -2*c + 8. Let q be m(3). Suppose 4*g = q*r + 8, -r + 2 = -2. Is 4\/(-6)*(-252)\/g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 16 = -0*j + 2*b, 4*b = -2*j + 8. Suppose 9*f + j = 10*f. Let o be (15\/9)\/(2\/f). Solve -i = m + m - 8, o*m + 2*i = 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.2, -0.5, 182997?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11 + -15. Let m = 8295 - 8304. Let s be (-9)\/24*i*(-30)\/m. Let o(w) = -w**3 + 5*w**2 + w - 4. Calculate o(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**6*n**(-4))\/(n**(-14)\/(n**0*n)) assuming n is positive.\nAnswer: n**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2443, -3281, -4119, -4957, -5795, -6633?\n\"Answer: -838*k - 1605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 11\/1 + 0\/(-3). Suppose -5*a + 2*y = -y - 23, -2*a + t = -3*y. Let i be 0\/((2\/(-4))\/((-2)\/(-4))). Solve s + i*s - a = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve m = 528*r - 513*r - 44, m - 3*r = 4 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 4*z - 10 + 24 = 0, 18 = 5*s + 2*z. Let n be s*((-14)\/4 + -3). Let q be ((-2)\/3)\/(n\/1014). Calculate the highest common factor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/450932763 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.03 - 9.97. Let o = 8386 - 8386.1. Which is the closest to x? (a) o (b) -0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*a - 29*a**2 - 5 - 939*a**3 - 933*a**3 - 924*a**3 + 2795*a**3 to the form n*a + g + i*a**3 + c*a**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 709924931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 385.1776 millennia in months?\nAnswer: 4622131.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -i**4*k - 245*i**3*k - i**2*k**3 + 3*i*k - 214*k**3 - 2 wrt i?\nAnswer: -12*i**2*k - 1470*i*k - 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 1050 divide 32600400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 9*l + 45 = -3*a - 7*l, 17*l - 289 = 0. Factor 2\/3*g**3 + 19\/2*g - 14\/3*g**a - 6.\nAnswer: (g - 4)*(2*g - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x - 4*r + 23538, x - 2*r = -r + 11781. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**3 - 13*i**2 - i + 26. What is k(-13)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*u**3 + 230*u**2 + 237*u**2 - 467*u**2.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-13 - (-6 - 3)) + (11 - -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51212 is divided by 244.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be (21*-1)\/(-3) + 1. Let s = 17 - u. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**2. Let i(f) be the third derivative of -f**5\/15 - f**3\/6 - 8*f**2. Let u be (6\/4)\/(2\/(-4)). Determine u*d(o) + i(o).\nAnswer: -o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.9 - 5.1. Let y = -14685.7 + 14686. What is the nearest to 4 in y, n, 4\/7, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jxxx when four letters picked without replacement from {j: 7, x: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22 - 2200222111002222?\nAnswer: -2200222111002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 17569555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 34210 to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 776281.\nAnswer: 11, 70571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxuaoaajgxjx. Give prob of sequence jou.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (170\/68)\/((-50)\/3220*-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 316 and 57670?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 48 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 87*o**2 + 85*o - 37. Is d(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/1069? (a) 8 (b) 17\/10 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3815781753 to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -53851 (base 10) in base 12?\nAnswer: -271b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -30 = 7*j - j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 - 11 = -4*p. Let a be -3*(-14)\/p*1. Suppose 4*x - a = 1. Solve 0 = -4*c + c + 5*h + 26, h + x = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the second derivative of -l**4\/48 - l**3\/24 + 3*l**2\/4 - 2*l + 26. Solve n(z) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**3 - 5*r**2 - 5*r + 4. Let h be w(-5). Let m = 33 - h. Suppose 0 = 4*p + m*n - 96, -3*p + 5*n + 60 = 2*n. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -109427 - 0.115279.\nAnswer: -109427.115279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*y - 41*y + 2*y - 452 + 2902 = 0 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -564*k**2 - 5*k + 65.\nAnswer: -1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1\/68 (b) 1\/4 (c) 1 (d) 96 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 26 - 4 = 2*o, -2*o - 45 = -3*r. Suppose -2*p = -3*g - 4*p + 235, -r = -3*p. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -5, 6\/5, 27, 1 in decreasing order.\nAnswer: 27, 6\/5, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 195 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be 10\/40*(-4)\/1. Let d(r) = 3*r**2 + r + 1. Give d(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -650*g - 4221*g - 5127*g - 615623 - 514151 = 0 for g.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 2*b**2 - 4*b + 2. Let g be s(2). Let u be 1\/((-4)\/(-80)*g). Suppose u*q - q = 2979. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18)\/(sqrt(18)\/sqrt(3)*5))**2.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 1 = l, -5*l - 3*b = -7 + 6. Put -2, 110, 3, l in ascending order.\nAnswer: -2, l, 3, 110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, m: 1, c: 2, e: 2, i: 1, v: 1}. What is prob of picking 2 e?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (n + 7*n + 5*n)*(94*n + 598 - 598).\nAnswer: 1222*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 times 0.117754?\nAnswer: 0.058877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 53 - 49. Suppose 3*g + 2*g - 170 = 0. Suppose -3*b - 15 = 0, g = o - i*b - b. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**2 - 7*d + 8. Let w be m(-7). Let p be 402\/33 + w\/(-44) + 0. Solve -p*v = -7*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vd when two letters picked without replacement from {d: 5, v: 2, y: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 47 - 44 - (0 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 282*b**3 + 572?\nAnswer: 846*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**41*h**(-9\/2))\/(h\/h**(5\/8))**(1\/2))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 727326 is divided by 6380?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 65761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1153 + 40?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -214.000242 + 214. Round m to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 96*h + 9. Let u(s) = -s + 2. Determine k(j) - 3*u(j).\nAnswer: 99*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2*(-30)\/4 - 0. Let o = -3 - i. Let j be (18\/(-15))\/(15\/(-50)). Solve t + j*g = 9, 2*g - o = 3*t - t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5.12 + 5. Let n = 255673.1199784 + -255673. Let p = n + j. Round p to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 413 = -3*h, 10*x - 127 = -h + 5*x. Let j be (-6)\/27 - h\/(-9). Suppose 3*i - j = m, -i - 2*m + 4*m = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3023\/11 - 275. Which is the closest to 1? (a) 0 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q, 1 s, and 1 v when four letters picked without replacement from {q: 2, v: 4, z: 1, s: 2}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -396900*t**3\/11 - 590310*t**2\/11 + 7544*t\/11 - 24\/11 = 0. Calculate t.\nAnswer: -3\/2, 2\/315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.1, -5, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be 14\/(-6)*(-90)\/6. Calculate the greatest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 141.3 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -163 - -174. Let h(r) be the second derivative of 0*r**2 + 2\/3*r**3 + 7\/30*r**6 + 0*r**5 + 0 + 0*r**4 - w*r. Find the second derivative of h(o) wrt o.\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 + 20. Suppose -s - 3 = -3*r. Suppose 3*z - 5*h = 66, -r*z + 46 = 3*h - 30. Solve 0 = b + f + 2 - 4, -z = 5*b - 4*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -42146, 19, -0.03 in descending order.\nAnswer: 19, -0.03, -42146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 32313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.8 + -0.8000108. What is g rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 24 = z + 2*z, -4*w + 5*z = -33. Calculate the highest common divisor of w and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-19)\/(361\/(-57)) - 7*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -324 + -42?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -4500 (base 11) in base 5?\nAnswer: -142204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*i**2 - 1330*i**3 + 1242*i**3 + 2*i**2 - 4*i**2.\nAnswer: -88*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -23*i**2 + 15*i + 38. Let r(b) = 8*b**2 - 5*b - 13. Let v(m) = 3*g(m) + 8*r(m). Factor v(o).\nAnswer: -5*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 53 is divided by 0 - ((-2)\/11 + 1216\/(-88))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1303 - 15 = 46*w. Suppose 0 = c - 8 + 1. What is the greatest common factor of c and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 95505286?\nAnswer: 2, 17, 19, 163, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 25405472 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 44 + -50. Let m(c) = -10*c - 58. Let t be m(i). Solve 0 = -t*h - 5*g + 18, h + 3 = -g + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - (5 + -7 - (12 - 9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 157766 and 2478.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence muuk when four letters picked without replacement from {u: 2, m: 1, k: 1, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -468, -352, -168, 84, 404, 792, 1248?\nAnswer: 1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 49868 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.1, -32, 41?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*(y**(-1\/2)\/y)\/y*y)**(-3\/4)*((y\/(y**(-5)\/y))\/y)\/y**(-6)*(y**(1\/2)\/(y*y**(-1\/3)))**(-7\/5) assuming y is positive.\nAnswer: y**(1513\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -17748.66973 rounded to the nearest 100?\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 9018543, 9018452, 9018361?\n\"Answer: -91*a + 9018634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 2 - 5)*(p - 2 + 2) + 81*p - 79 + 152 - 72 as d*p + b and give d.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-10 - (7 + -13)) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -1 - 4*l - 5*l - 7*l**2 + 2*l + 6*l. Let u(o) = 8*o**2 + o + 1. Let w(z) = -5*n(z) - 4*u(z). Calculate w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/(1*(-2)\/(-124)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 113795+39\nAnswer: 113834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sum -1028629 and 1683.\nAnswer: -1026946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v + 20. Let s be j(14). Suppose 0 = 2*k - s*k. Let g = -9 + 8.8. Which is the nearest to -2? (a) g (b) -0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -118942 divided by 1?\nAnswer: -118942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 2 k when three letters picked without replacement from {q: 2, f: 2, d: 12, k: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -722, -2920, -6582, -11708, -18298, -26352, -35870?\nAnswer: -46852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 5 - 2*h)*(-2 + 2*h**2 + 2)*(-1141 + 2154 - 129).\nAnswer: -3536*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 4*d. Let t(s) = 3 + 2 - 5 - 1. Suppose -8*c = 5*v - 3*c + 25, -2*c - 22 = 4*v. Let i(r) = -r - 6. Let a(l) = v*t(l) + i(l). Calculate a(g(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -g - 29*p + 34*p = -19, -7*g - 11 = p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -11711905*o - 22090755?\nAnswer: -11711905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from jjkkmzmmljm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 19398191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 29532.8 + 4826.2. Let r = -34339.9885 + v. Let j = 19 - r. Round j to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -926 - -964. Which is smaller: 155\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 4, p: 3, t: 3, s: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -199? (a) 1 (b) 2 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1087, -2294, -3503, -4714, -5927, -7142?\nAnswer: -8359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*w + 28434 = 4*f + 8*w, 0 = -3*f - 2*w + 21300. What is the thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 2*p**2 + p. Let g(m) = -10*m**2 - 69*m - 36. Let v(r) = -g(r) - 4*k(r). Let l be v(-32). Solve 3 = o - l*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a + 81 = z, 2*a - 73 + 38 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -23873400 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 217 and 403961.\nAnswer: 2827727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43 = -3*l - 46. Let y(a) = a**2 + 5*a**2 + 4*a**2. Calculate y(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -91*g - 78*g + 64*g + (-2 + 1 - 1)*(1 + 2*g - 1) to the form o*g + p and give o.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from ynnynyyynnnnn?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 + 15 = 12*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**2 - a - 4. Let v be m(3). Suppose 0*q + q + 4 = -v*d, 0 = -d + 5*q + 20. Let i = 8 + -3. Solve i = -z - d*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*h**3 - 5 - 4*h**2 - 2*h**4 + 5 - 5*h**3 + h in the form y*h**2 + t*h**3 + v + p*h**4 + i*h and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 5, -10, 102, -18, -2.\nAnswer: -18, -10, -5, -2, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -124 + 130. What is the remainder when 19 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 4*q - 1. Let s(m) = -5*m + 2 + 0*m - 2*m. Let h(r) = -5*f(r) - 3*s(r). Let p(z) = 2*z - 2. Let n = 10 + -7. What is n*h(o) - 2*p(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = 273 - 301. Let q(a) = 13*a**2 - 5*a - 5. Let m(x) = -72*x**2 + 28*x + 28. Give p*q(w) - 5*m(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -6*f. Let t(h) = -4*h**2 - 2*h - 117. What is n(t(j))?\nAnswer: 24*j**2 + 12*j + 702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -2*p. Suppose -3*y + p = 9. Let d = 4 - y. What is the remainder when 11 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 + 1 - (-2 + -4) - 1. Suppose -262 = -x - h*z, -4*x + 3*z + 1282 = x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 7*i - 5. Suppose 3*l - 4*l = -12. Let x = l + 19. Calculate the remainder when x is divided by k(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1497433*b**4 + 731186*b**2?\nAnswer: -35938392*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 5, e: 3}. What is prob of sequence kkke?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 4243.64 to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 63 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 463410 rounded to the nearest one thousand?\nAnswer: 463000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 105 = -15. Calculate the remainder when 117 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 171 and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 + -1. Suppose u = 5*t - 33 - 72. Let z = t + -14. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (140*t**3 + 3*t**2 + 4*t - 90*t**3 - 146*t**3)*(5*t**2 - 2*t**2 - 2*t**2).\nAnswer: -96*t**5 + 3*t**4 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 249 + -137. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1 and 712.\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-8) + (-43)\/4. Let m = p - -51. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f - 216 = 16. Let m = f - -34. Solve -5*t = m*r + 15, t - 4*r - 12 = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -2219*m. Let o(a) = 72*a. Let p(g) = -63*o(g) - 2*u(g). Let r(w) = 7*w**2. Calculate p(r(l)).\nAnswer: -686*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*((n\/(n\/n**1))\/n*n)\/n)**(-48)*(n**0*n)**(1\/49) assuming n is positive.\nAnswer: n**(-2351\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/44733 and -89\/15?\nAnswer: 223665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from euuuueuueuueueuu. Give prob of picking 2 u and 1 e.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -38? (a) 4\/11 (b) -4 (c) -3 (d) -0.4 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from {b: 9, q: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -229*q**4 + 2062*q - 66906012*q**3 - 5*q**5 + 66906012*q**3 wrt q?\nAnswer: -100*q**3 - 2748*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**2. Let g(v) = 28*v**2 - 7*v**2 - 22*v - 23*v**2. Give w(g(l)).\nAnswer: -4*l**4 - 88*l**3 - 484*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 185256 is divided by 1818?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12687 - 12687 + c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3324 - 320. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 32*v - 20. Let p be a(7). Let i = 265 + -126. Let f = p - i. List the prime factors of f.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -0.34, 4, -1157, 0.3, -0.1, 3?\nAnswer: -1157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) 82.3 (c) -0.1 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(-2 + 4 + 5*(sqrt(171) + sqrt(171)*-2) + 1))**2.\nAnswer: -360*sqrt(19) + 17136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 994.5 - 994. Suppose -k + 18 = 4*k + 4*p, -4*k + 16 = 4*p. Suppose -18 - k = -4*i. Put s, i, 1\/4 in ascending order.\nAnswer: 1\/4, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3404 is divided by 1167.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8 - 531\/60)\/((-3)\/(-12)) - -4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7322\/999 or -7?\nAnswer: -7322\/999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-14))\/(-2*((-1)\/4)\/((-3430)\/20))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -39 - -4. Let u be (-84)\/s*(-10)\/(-4). Let x = 8 - u. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -82 = -3346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 5*w + 3*w**2 + 13*w**4 - 14*w**4 + 513 - w**3 - 3*w - 2*w**2 in the form y*w**3 + p*w**2 + q + i*w + b*w**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z**3 + 14*z**2 - 255*z - 4175. What is d(-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 3*h + 24. Let p be b(16). Let d = p - 67. Suppose -d*f = -16*f + 176. Does f = 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve v - 4*d - 2 + 5 = 0, 5*d - 30 = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.3, -117, 2\/9, 0.227?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 5 (b) 3 (c) 0.4 (d) 13184\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (48 + -118)\/(6\/(-381)).\nAnswer: 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 18 = 4*x, n + 11 = 3*x - 4*n. Suppose -3*f - 4 = -5*f. Solve -f*t + x*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1640*b**4 + 126*b**4 + 42 - 42)*(-1 + 8 + 2) to g*b**4 + q*b**2 + f*b**3 + m*b + s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -1\/5 (c) -0.1 (d) -36669 (e) -2 (f) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 6 + 4*r**2)*(r**2 + 2*r**2 - 4*r**2)*(-3*r + r + r)*(9 + 5 - 1).\nAnswer: 52*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 9 = 3*d - 18, -3*d = u - 12. Let p = d + -10. Let v(y) = -2*y - 4. Does 6 divide v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor y**2 - 109*y + 318.\nAnswer: (y - 106)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 6 (b) 35.1656 (c) -1 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 22188 divided by 5547\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-22)\/4)\/(2\/(-4)). Suppose -4*t = 2*j - 0*j + 2, -4*j - 4 = -3*t. Let f be 6\/(0 + (-12)\/(-8)) - t. Solve -5*g - l = -f*v, 0*g - 5*v + 25 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3.6 (b) 1.5 (c) -0.02088\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -3*k**2 - 26821*k + 134131. Determine y(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve m - 2*c = 661 - 641, 0 = 3*m + 4*c - 90 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -6491673 to the nearest 10000.\nAnswer: -6490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 275, 1135, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 63683 and 29620.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 + -4965401694783.\nAnswer: -4965401694782.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 67 + -62 + (-1 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 44131555571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n - 7. Let l be h(-7). Let v = -938 + 920.99. Let f = v - -17. Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-9 - 264\/(-32))\/((-1)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/14 and 109\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2 + 9. Let j be q(-3). Suppose 4*i + j = 5*f, -6 = 5*i + 12*f - 10*f. Which is smaller: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -14 + 8. Let d = 0.2 - -4.8. What is the closest to m in d, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000022991 rounded to seven decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -10*z - 193. Let l(d) = 2*d. Calculate l(q(h)).\nAnswer: -20*h - 386","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**2 + 9*l - 4. Suppose -17*t - 3 = -20*t. Let z(d) = 1. Let y(b) = t*j(b) - 3*z(b). Calculate y(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 428 is divided by 89.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 171 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the first derivative of 0*b**2 - 2*b - 4\/135*b**6 - 1\/27*b**4 - 7\/90*b**5 + 2 + 1\/27*b**3. Let l(g) be the first derivative of m(g). Factor l(u).\nAnswer: -2*u*(u + 1)**2*(4*u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 592 minutes before 3:23 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 44*l + 31. Let y(u) = 2*u - 2. Let h(v) = -n(v) - 3*y(v). What is the first derivative of h(c) wrt c?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*r**2 - r**2 + 47*r**4 + r**4 - 17*r**4 wrt r?\nAnswer: 744*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 14213, 28421, 42631, 56843, 71057, 85273, 99491?\nAnswer: 113711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1333 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27231*j + 27231*j + 452*j**2.\nAnswer: 452*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4*o + 7 - 7)*(3 + 0 + 0)*(0*o + 3*o - o) + 1 + o**2 - 1)*(3*o**3 - 3*o**3 - o**3).\nAnswer: -25*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be 52\/(-5)*49 + (-234)\/585. Let g = -506 - y. Solve 31 = 2*l + 5*s, -5*l - 4 - 1 = -g*s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oqoy when four letters picked without replacement from {q: 1, a: 2, y: 1, i: 4, o: 3, w: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*k**4 - 4*k**4 + 0*k**4)*(-4 + 4 - 1).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be -10*(-1)\/2 + -1. Suppose -i + 4 = k*q, 4*q = 4*i + q - 16. Find the second derivative of -9 + 9 + 2*v**i - v wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-261)\/15*(-5 + 0) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -3.8 (c) 0.3 (d) -1\/5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*h**2*j*u - 94*h*j**2 + 2*h*j*u**2 + 2*j**2*u + 7*u**2 with respect to h.\nAnswer: -4*h*j*u - 94*j**2 + 2*j*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**3 - o**2 + o. Let s(f) = 4*f**3 - 28*f**2 + 8*f. Let m(d) = -16*g(d) + s(d). Determine r, given that m(r) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -11499261*r**2. Let i(o) = -2*o. Calculate l(i(w)).\nAnswer: -45997044*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 2*y**3 - 4*y**2 - y. Let q be m(3). Is 3 a factor of (18\/q)\/((-4)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 + 4. Let u = y - 1. Suppose u = 2*m + 4*s - 108, 2*m = 5*m - 3*s - 135. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7 - -3. Let f = v + 9. Let s be (8360\/37620)\/((-17)\/18 + 1). Put 2, 3, s, f in ascending order.\nAnswer: 2, 3, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -29, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-6*25\/(-30))\/(((-168)\/36)\/(-14))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 528 + -527. Solve 3*i + s + 8 = 0, -4*r - 9 = 3*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from pggpkgggkpkgk?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*p = -3*o + 37, -173*p = 3*o - 175*p - 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 246 and 219507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -802*v - 78913 + 5273 = -2906*v for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -4.235 plus -1454137?\nAnswer: -1454141.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -138, -269, -398, -525, -650?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 6\/35 (c) -2\/3 (d) -5 (e) 0.33 (f) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -2*y + 3*y - 1 + 3*y. Let n be b(1). Let x = 302\/119 + -2956\/1071. Sort n, x, -3 in descending order.\nAnswer: n, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 880201397\/1023 - 860412. What is the common denominator of v and 109\/930?\nAnswer: 10230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -389058 divided by -12?\nAnswer: 64843\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 + 5 - 12 - 31*d.\nAnswer: -31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -0.109 * 297\nAnswer: -32.373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1320032, -1320031, -1320030, -1320029, -1320028, -1320027?\n\"Answer: o - 1320033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**3 + 7*m**2 + 9*m - 9. Let d be l(8). Does 36 divide ((-3)\/d + 1)*(-35 + 62)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*a + 3*v, 0*v + v = -2*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20685 is divided by 1621.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 4*y**2 + 2 - 2*y**2 - 4*y + 0*y + 0*y. Let p(x) = -2 + 3*x - 2*x**2 + 0*x + 2*x. Let c(t) = 3*t + 3. Let a be c(-2). Determine a*p(v) - 4*o(v).\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 884, 904, 946, 1016, 1120, 1264?\nAnswer: 1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v\/(v\/(v**(2\/3)\/v)))**21*((v\/(v\/(v\/v**(-2\/9)))*v)\/v)\/v*v\/(v\/v**0))\/(((v\/(v\/(v*v**1*v)*v))\/v*v)**(-1\/6)*((v**1\/v)\/v)**38) assuming v is positive.\nAnswer: v**(473\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -391*g + 7424. Let h be r(19). What is the third biggest value in -2, h, 6, 0.18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of -b**5\/60 - 46*b**2. Let p(s) = 2*s**2 + 3*s. Suppose 0 = -2*k + 7*k + 15. Calculate k*v(f) - p(f).\nAnswer: f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q**2 + 16*q - 308 = 0. Calculate q.\nAnswer: -11, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -15698, -34389, -53082, -71777, -90474, -109173?\nAnswer: -127874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 11 and 11223?\nAnswer: 123453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.61 from 1817.\nAnswer: 1816.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**3 + 17*f**2 - 80*f + 64.\nAnswer: -(f - 8)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 3*r**2 - 6*r + 6. Determine x(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, f: 5}. Give prob of picking 1 a and 1 f.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve g - 16*g - 135 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 64 + -47. Which is smaller: y or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8\/79 - -4068\/395. What is the common denominator of j and ((-1072)\/(-12))\/(-4) + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*z + 2*a + 12, 0*z = -4*z - a + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 42126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -25 + 24. Which is smaller: -135 or a?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 35\/2 + -16. Suppose 3*t = 2*m + 13, m = t + 48 - 53. Which is the biggest value? (a) q (b) -1 (c) 0.2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1057911184, -1057911186, -1057911190, -1057911196, -1057911204, -1057911214?\n\"Answer: -v**2 + v - 1057911184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 688 minutes before 4:32 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 - -2. Let b(p) be the first derivative of p**5\/60 + p**4\/6 - p**3\/3 + p**2\/2 - 37*p + 30. Let z(c) be the second derivative of b(c). What is z(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 245*p - 10787. Determine n(43).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -4*z**2. Let b(h) = 4*h**2 - 17. Give s(b(w)).\nAnswer: -64*w**4 + 544*w**2 - 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -2760 by 5.\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1342*h + 12582 + 1335*h - 4017*h + 1338*h to i*h + o and give o.\nAnswer: 12582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000413757188 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 38 - 40. Let o(w) = -4*w**3 - w**2 + 3*w + 1. What are the prime factors of o(j)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/((d**(-2\/11)\/d)\/d)*d)\/(d*d**11)*(d\/d**(-2\/9))\/d**(-12) assuming d is positive.\nAnswer: d**(535\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 30 - 25. Put -5, -3, a, -4 in descending order.\nAnswer: a, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2012582 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 2*w**3 + w**2 + w - 2. Let z be 19\/(399\/14)*3. Give d(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3 - 114\/(-18))*(7 + -1). What is the greatest common divisor of y and 12100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13400 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 24 + 3*n**2 - 3*n - 2*n**2 - 40 + 15 in the form g*n**2 + b + k*n and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 46*d - 1375. What is w(27)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -2*m**5\/11 - 10*m**4\/11 + 4274*m**3\/11 + 89722*m**2\/11 + 496200*m\/11 + 667800\/11 = 0. What is m?\nAnswer: -35, -15, -6, -2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-742)\/(-4) - 2\/4. Suppose 3*z = 5*y + 356, 0 = -3*y + 5*z - 0*z - 204. Let h = y + s. What is the highest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -131 - -106 - (-6 + -1). Let n be 105\/6 - (-3)\/6. Let d be ((-3)\/6)\/((-3)\/n). Sort w, -4, d in increasing order.\nAnswer: w, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -437 or -433?\nAnswer: -433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 240*z - 16439. Determine l(64).\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0, -95\/7, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 5 + (5 - 12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2014000 rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 418662 to the nearest 1000.\nAnswer: 419000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (-2 + -4 + (7 - 3 - -6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/((-2)\/(-7) - (-35)\/(-294)). Calculate the highest common factor of 45 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - 4. Let b = s - -9. Solve -6*n**2 - 4*n**b - 2*n**4 - n - 2*n - n - 8*n**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 605010840 divided by -420\nAnswer: -1440502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 4*y - 6 - 4 + 1 - 3*y**2 + 12. Let l(o) = 4*o**2 - 3*o - 3. Let n(k) = 4*l(k) + 5*s(k). What is n(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5141502 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 419486265 divided by 4510605\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 g when three letters picked without replacement from uucvmggc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -79458, -80130, -80804, -81480, -82158, -82838, -83520?\n\"Answer: -w**2 - 669*w - 78788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/5, 1\/3, -5, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qehe when four letters picked without replacement from ooteqethw.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.4, -0.3, 65, -9.62?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 111\/7, -0.1 in increasing order.\nAnswer: -2, -0.1, 111\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 411*n = 383*n + 112 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l + 18 = -7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-3090)\/234 - (-7 + 0) - (2 - 8) and (-1)\/3 - (-623)\/378.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-24)\/14)\/6 + (-1)\/7. Suppose -2*u - 5 = -m, 5*m = 3*m - 5*u - 35. Let n be 3*3 + (-945)\/126. Which is the closest to 0.3? (a) m (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, 5, 3.2 in descending order.\nAnswer: 5, 3.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 124 a factor of 1283597656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - (24 - 2) - 0) + 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 15446 at least 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -7*g**2. Let k(l) = -l + 17 - 2*l - 17. Determine k(j(x)).\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3.59 - -0.41. Which is the second biggest value? (a) 0.3 (b) g (c) 174\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11854*j + 11971*j + 2457 = 0 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxxkxxxxkxwxkxw. Give prob of sequence kwwx.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -30 - -46. Let g be ((-680)\/b)\/((-1)\/2). Calculate the highest common factor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c + 6, -469*n + 471*n - 4*c = 32. Calculate the lowest common multiple of n and 363.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ufu when three letters picked without replacement from {s: 2, z: 4, x: 1, f: 6, d: 2, u: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 19974863 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/13 in 0.16, -3, -5\/8, -1\/4, 4?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -163 = 5*y - 268. Suppose -5*b + 4 = -y. Solve 0 = 2*j - x + 4, -22 = b*j - 5*x - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 199*b + 2024 + 8896 = -347*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -3*l - 24. Let z(b) = -70*b - 2. Calculate the remainder when z(-1) is divided by f(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02 plus 15212571301994?\nAnswer: 15212571301994.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -2*y - d, -38*y = -39*y + 5*d + 25. What is the least common multiple of 19 and y?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhywwzh. What is prob of picking 1 h and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from {j: 2, m: 1, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 16 - 16. Let p = 1 - a. Let s be 2*p\/6*3. What is the greatest common divisor of 5 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -2*n**3 - 9*n**2 - 12*n + 11. Let y(a) = a**3 + 6*a**2 + 8*a - 7. Let x(s) = -5*d(s) - 8*y(s). What is the remainder when 30 is divided by x(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*o = -35*o + 156. Suppose 0 = 2*d + 286 - 514. Let l = d - o. Calculate the highest common divisor of l and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 247908*r + 2*r**2 - 2*r**2 + 1546*r**3 - 1539*r**3 - 247908*r.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16380 - 18845*c - 10343*c - 32764 + 16384 to q*c + h and give q.\nAnswer: -29188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 + (-48)\/2)\/(1*-14*(-267)\/3738).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -242051.8 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be 7*6\/21 + 1. Solve -12 = o*j, -k + 2*j + 24 = -3*j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/2)\/((-2)\/(-7))*144\/(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -5*d**2 + 1190*d - 70305 = 0. Calculate d.\nAnswer: 109, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -178784 by 148.\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Total of -368 and 289522.\nAnswer: 289154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 0.5 times 51\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes before 9:23 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80*s = 62*s + 432. What is the lowest common multiple of s and 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -177*l**2 - l + 20 wrt l?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 148*f + 16. Let n(u) = 74*u + 9. Let r(h) = -11*n(h) + 6*w(h). Is r(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 + 8. Which is the smallest value? (a) -2 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 85.31931 grams in nanograms?\nAnswer: 85319310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -11902, -23797, -35678, -47545, -59398?\n\"Answer: 7*t**2 - 11916*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 15 = -0*v. Suppose -z = -v - 1. Let j be (4\/(-6))\/(4\/(-18)). Calculate the highest common factor of j and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2211170, -2211153, -2211096, -2210975, -2210766?\nAnswer: -2210445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-30)\/(-80))\/((-3)\/(-4)). What is the third smallest value in q, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1314 + -731. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1*(14\/(-6) - 2)*9. Let f be 3\/(2 + (-2 - -1)). What is the greatest common divisor of p and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1007 + 296.153\nAnswer: -710.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.06 and -5?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r - 1496 + 27. What is the remainder when r\/(-26)*(1 + -3) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -12*i**3 - 44*i**2 + 160*i - 48.\nAnswer: -4*(i - 2)*(i + 6)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1933 + -23245\/12. Calculate the common denominator of 33\/4 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w - 2*w + 2*w)*(7*w**2 - 3*w**2 - 2 + 3*w**2).\nAnswer: -7*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 131096 is divided by 65181?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/4 and 33\/485?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-12538)\/(-6))\/(2\/(-6)). Let o = n + 169286\/27. What is the common denominator of o and 26\/90 + (-7266)\/32697?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 18*q**4 - 24*q - 24 - 2*q + 10*q**5 - 7*q**5 + 4*q + 33*q**3 + 6*q**2 - 14*q.\nAnswer: 3*(q - 1)*(q + 1)*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * -0.01441\nAnswer: -0.004323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 2320*c = -2322*c + 2084, 0 = -5*c - 10. Calculate the smallest common multiple of p and 348.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1804 + -22b6b?\nAnswer: -21367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.4 - -0.4. Let x = h + 1. Let r = -0.9 + x. Which is smaller: r or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3b281 (base 12) to base 13.\nAnswer: -2b1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/57 or 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*l - 421 = -541 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.1, 0.0649, -4\/5, 5?\nAnswer: 0.0649","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -85\/1064 and -34\/1197.\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-235)\/(-15) - ((-8)\/(-3) - 2). Calculate the greatest common factor of c and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 29463360 by 1504.\nAnswer: 19590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 8*j + 39. Let a(m) = 7*m + 40. Determine -7*a(t) + 6*k(t).\nAnswer: -t - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -14*c - 4. Let w(b) = 7*b + 2. Let j(m) = -4*h(m) - 7*w(m). What are the prime factors of j(14)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -293 by 250674.\nAnswer: -293\/250674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -561 - -566. Solve 2*m - 26 + 7 = -5*b, 5*b - 5 = i*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -334*r + 427*r - 228*r.\nAnswer: -135*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -156000 = -73139*i + 73129*i. List the prime factors of i.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 138077545.\nAnswer: 5, 41, 673549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*q + 4*p, -4*q - 5*p = -25 - 35. Let i = -39 - -56. What is the remainder when i is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 3 c when four letters picked without replacement from cihccchicciicc.\nAnswer: 32\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = 27333 - 27065. Calculate the greatest common factor of 436 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, t: 2}. Give prob of sequence pt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-five quarters of a kilometer in meters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 2*i. Let h(v) = v**2. Let g(k) = -18*k**2. Let r be 2\/9 - (-490)\/(-18). Let w(z) = r*h(z) - g(z). Give w(q(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes after 8:09 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 8786, 17748, 26710, 35672, 44634, 53596?\n\"Answer: 8962*b - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 4*y + 18. What are the prime factors of -7*(y + -1 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3 + 4 + 1)\/1. Calculate the lowest common multiple of 8 and 715\/39 - w\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -b - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -118 + 76. Let r be (-1)\/((y\/3180)\/7). What is r rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 2*d + 6 = 0, 0 = -h - d + 1. Suppose -14 = -2*q + 4*o, -3*q = -3*o + 4*o + 7. Sort q, h, -19 in descending order.\nAnswer: h, q, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16019?\nAnswer: 83, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12531\/2 - 6151. Suppose -214 - 341 = -5*y. Let q = p - y. What is the common denominator of -73\/8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u + 0*u + 0*u)*(2*u**3 - 10*u + 10*u) + 0*u - u - 3*u**4 + 0*u**4.\nAnswer: -7*u**4 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 1741014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -33715 or -33756?\nAnswer: -33715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -63220 times 5?\nAnswer: -316100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(4\/9)*b)\/(b*b*b\/(b\/(b\/(b**(-2\/21)\/b))))*(b\/(b*b*b\/b**10*b))**(-1\/18))**21 assuming b is positive.\nAnswer: b**(-383\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 2*p - 14. Suppose 7*r - 3*r - 4*j = 4, 2 = -3*r + 4*j. Let n be m(r). Which is the second smallest value? (a) 3\/8 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 12 = -27. Suppose -4*d + 36 = y, 5*d - 8*d + v*y = -50. Solve 0 = 5*u - s - d, 0*u + 4*s = -5*u + 35 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5847 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 3*x**2. Suppose 0 = 5*f - k - 9, -7 = -5*f - 0*f + 3*k. Let o(y) = -f*y - 6*y + 4*y. What is o(s(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes after 1:56 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -127 + 132. Suppose -3*g + 164 = -g - 5*y, 4*g + f*y = 298. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d**(1\/2)\/d)**(-6)\/((d\/((d*d\/(d\/(d**(2\/7)\/d)))\/d))\/d**9))**(-3\/5))**(4\/7) assuming d is positive.\nAnswer: d**(-864\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -121680 by -16.\nAnswer: 7605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**2 + 6*k + 1. Let r be d(-5). Let f be ((-12)\/(-10))\/(r*(-2)\/60). Factor 80*o + 19 - 4*o**2 + f - 56*o.\nAnswer: -4*(o - 7)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 186.42 - 181.42. Let k = -0.03 - -0.23. Which is the second biggest value? (a) k (b) g (c) 30 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 491801031 is divided by 2398.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 19bf (base 16) in base 14?\nAnswer: 258b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 12054105 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 + 3.4. Sort 0.2, -3\/7, t.\nAnswer: t, -3\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -897, -883, -859, -825, -781?\n\"Answer: 5*i**2 - i - 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s + 1. Let y be c(-2). Suppose -16*x + 8 = -40. Let p = y + x. Solve -p*k = -k + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = 5*f - 378, -4*f - 5*x + 298 = -2*x. Suppose 59 = 5*v - f. Suppose -4*m = -m - v. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 27, -1, -2, 2 in descending order.\nAnswer: 27, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -n*w**3 + 146089318*n - 2*w**3 - 7*w - 1008987 wrt n.\nAnswer: -w**3 + 146089318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 4*r - 2 = -0, -5*a - r - 7 = 0. Let t be (a\/(-3))\/(24\/144). Solve -3 = -t*k + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 224910777 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7.7 + -3.7. Which is the closest to 1\/4? (a) 0.2 (b) k (c) -2\/5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes after 11:43 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 156, 1453, 4880, 11505, 22396, 38621, 61248?\nAnswer: 91345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(9)\/(-1*sqrt(3) - sqrt(3)))**2 - sqrt(3)) + (sqrt(48) + sqrt(336)\/sqrt(7))**2.\nAnswer: -sqrt(3) + 771\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 387 - 415.1. Let n = t + 27. Let g = -0.7 - n. Which is the second biggest value? (a) g (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g\/g**(5\/2))*g**2)**(2\/93))**(-2\/33) assuming g is positive.\nAnswer: g**(-2\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -19546, -20158, -20762, -21352, -21922?\n\"Answer: d**3 - 2*d**2 - 613*d - 18932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 0.16 + 4242.1\nAnswer: 4242.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 231 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2508847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -723176 + 1071995. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 0 - 1103946*i**2 + 0 + 1103970*i**2. Let x(h) = 5*h**2 - 3. Let u(b) = b**2 - 1. Let c(g) = -3*u(g) + x(g). Determine n(c(k)).\nAnswer: 96*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -718426 or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 2 - 2 = 0. Let f be g\/16 - (-23)\/4. What is the tens digit of (-24)\/36 - (-94)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -1067*c**2 - 5439*c + 33. Let h(g) = 356*g**2 + 1812*g - 12. Let f(s) = 4*d(s) + 11*h(s). Find the second derivative of f(t) wrt t.\nAnswer: -704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 478 + -495 + 5 + 46\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.55 + -0.55. Sort j, 2\/11, -0.01 in decreasing order.\nAnswer: j, 2\/11, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 73 = -n - 0*n, 31 = u - 4*n. Suppose -f + u = -3*z, 3*z - 6*z = f + 11. Suppose 0 = -f*c + 29 + 11. What is the remainder when c is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15 - -31\/2. Let k = 8 - 7.6. What is the smallest value in f, k, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes before 10:08 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.388 - 1.612. Let i be 1*(-7)\/(245\/(-20)). Which is the nearest to -2\/3? (a) i (b) z (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -2 + 5. Let h(g) = -6*g**3 - g**2 + 3*g + 2. Let v be h(k). Suppose v = c - f, -2*f + 61 = c - 82. What is the greatest common factor of c and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 24629 + -24634. Sort -0.403, 5, n.\nAnswer: n, -0.403, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16316*h + 16328*h - 32652*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 60*h**2 + h. Let s be b(1). Suppose 142 = s*g - 59*g. Suppose g*v = 67*v + 1076. What are the prime factors of v?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 23 - w**4 + 1438*w**2 - w**4 + 8*w - 1433*w**2 in the form i*w**3 + b*w**4 + s*w**2 + t + k*w and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 8*z = 42, -3079*s + 70 = -3074*s + 2*z for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y + 37 + 14. Let z be y*(1\/3)\/(-1). What is the highest common factor of z and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10*u**4 - 1289247*u**3 + 225198*u**2 - 3*u - 2?\nAnswer: -240*u - 7735482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**3 - 13*j**2 + 14*j - 11. Let q = 29 - 17. Let t = q - 0. Is v(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 15751643.3 and -1.\nAnswer: 15751642.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1ba85b0 + -33?\nAnswer: -1ba85e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p - 1. Let o(c) = -6*c**2 + 9*c - 9. Let v(z) = 18*d(z) - 2*o(z). Let s be 2\/(-4) - (-1)\/2. Let x(k) = 0 - 9*k**2 + s + 8*k**2. What is x(v(h))?\nAnswer: -144*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**2 - 14*z - 4. Let c(b) = 2*b**2 - 27*b - 8. Let w(g) = -3*c(g) + 5*h(g). Let d be w(11). Solve 0 = d*n - 2*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.1 - 0.1. Let d = 0.0838 + -1.0838. Which is the nearest to 2\/5? (a) 0.4 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 636?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 2*x - 8. Let q be (-393)\/(-36) - (-9)\/108. Determine f(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01757 rounded to 4 dps?\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 46889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the second derivative of -5*m**7\/42 + m**6\/3 - m**5\/4 - 12*m. Factor a(o).\nAnswer: -5*o**3*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 79 divide 33733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/88 and -43\/13288?\nAnswer: 13288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve u = 3*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2525 is divided by 48.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 10649*b + 11031?\nAnswer: 10649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1026*k**3 + 670*k**2 + 8 - 670*k**2.\nAnswer: 1026*k**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (8 - 2)\/2 + -1. Suppose -b - s*b - l + 3 = 0, -l - 13 = -5*b. Suppose 2*h = 2*n - 2, 14 + 26 = 5*n + b*h. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/9)\/(112\/(-120) - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00030785515 to 5 dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -5 + 2*sqrt(17) + sqrt(68)\/(sqrt(64) + sqrt(4)) + sqrt(17).\nAnswer: 16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/(h\/(h**1\/h*h)))\/h**(-5)*h*h**(-2\/21)*h*h\/((h**(-3)*h*h)\/h))**(2\/9))**29 assuming h is positive.\nAnswer: h**(13282\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -38615*x = -38928*x + 20658 for x.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be -3*(-4 - (-50)\/(-6)). Suppose 484 = r*b - 33*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 5*i**2 - 4*i - 10. Let h be j(2). Put -7, 4, h, -3 in increasing order.\nAnswer: -7, -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4794 (base 12) in base 16?\nAnswer: -1f60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7490 and 3264142?\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0\/((-10)\/(-5)))\/(10\/5). Let x(z) = 0*z + z**3 - z + 10 + 3. List the prime factors of x(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 5*l**2 + l - 5. Let i be s(-2). Suppose -4*j = -4*w - 8, 9*j = i*j + w + 12. Which is the nearest to -1\/8? (a) 5 (b) j (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 647 = 31*f + 2197. Let t be (-2)\/(6\/(-73))*3. Let x = f + t. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-4)\/6*(-8)\/((-224)\/1762698)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvhvchv. Give prob of picking 1 v and 1 h.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33 and 880?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 29 + -26. Suppose -5*u + 219 = -2*f - 337, -s*f = 5*u - 541. Suppose -5*w + u = 5. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 2*n. Let z be p(0). Let c(g) = 3 + 3 + 10*g + z - g**2. What are the prime factors of c(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.16 - 2.34. Let t = j + -0.5. Let y be 3*(-1)\/102*-4. What is the smallest value in 2\/7, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 105980*s**2 + 7*s**3 - 105980*s**2 - 3*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d**2\/d)*d*d*d\/(d*((d\/((d*d**1)\/d))\/d)\/d))**29*(d**(-5)\/(d*d\/(d\/d**(-6\/11))))**(19\/2) assuming d is positive.\nAnswer: d**(706\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 225096329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (-1 - -6) - (7 + (6 - 11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -89497\/43800 + 3\/1825. What is the common denominator of 101\/8 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 653 is divided by 131.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -162 = -9*n + 18. Let r be ((-45)\/n)\/(-3)*8\/(-12). Let h = 1 - 1. Is h >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 680909813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 121335*k - 242647. What is d(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:16 AM and 4:01 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 75*j + 1052. Let y be h(-14). Solve y*d - 11*t + 4 = -16*t, -4 = 2*d + 3*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 41834.7 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-4\/11))**(-21) assuming b is positive.\nAnswer: b**(84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o - 1. Let b(c) = 5*c**2 + 6*c + 23. Give b(m) + 6*x(m).\nAnswer: 5*m**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1669 from -3.\nAnswer: -1672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 10424477 and 271593?\nAnswer: 3353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ubpp when four letters picked without replacement from bpllujluplulupl?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nionnnniniionnniii. What is prob of picking 1 n, 1 i, and 2 o?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -5 at least -77\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (27 - 70 + 28)*(-3*a**3 + 3*a**3 - a**3) + 5*a - 3848 + 3848 + 4*a**3.\nAnswer: 19*a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((-208)\/(-80))\/(((-29)\/58)\/((-5)\/2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 192718.\nAnswer: 2, 167, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = -4*d - 290. Let j = -25 - d. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4926679*g**2 - 3342304 wrt g?\nAnswer: -9853358*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the first derivative of 1\/2*v**2 + 1\/4*v**4 + 1 + 3*v + 1\/3*v**3. What is p(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2\/(-3))\/(872\/291 - 3). Let o = -173 + y. Calculate the least common multiple of o and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the second derivative of -55\/12*w**4 + 0*w**2 + 11 + 0*w**3 - 1\/5*w**5 - 2*w. Find the third derivative of t(l) wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 102192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 + 16*o + 41. Let v be p(18). Suppose 0 = n - v*a - 74, -5 - 3 = 4*a. Is n a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 154 a factor of 1001462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*d, -2*n + 24*d + 8 = 25*d. Let t(c) be the second derivative of -c**2 - 7\/12*c**4 + 0*c**n + 0 - 24*c. Differentiate t(v) wrt v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -31*a*g**3*v + 4*a*g*v + 54*a*g - 2*a + 491*g**3 - 2*g**2*v + 2*v - 12 wrt g.\nAnswer: -186*a*g*v + 2946*g - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 2*z**2 - 281*z - 7965. What is i(-24)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 89534178887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12589 - -12582.889. Put -3, -1\/5, q in decreasing order.\nAnswer: -1\/5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6238.\nAnswer: 2, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 10875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/13, -2\/5, -15\/11, -1\/8 in descending order.\nAnswer: 2\/13, -1\/8, -2\/5, -15\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pxm when three letters picked without replacement from {s: 3, m: 4, x: 1, i: 2, b: 6, p: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3078, -6130, -9152, -12144, -15106, -18038, -20940?\nAnswer: -23812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 62762.69 tonnes in grams?\nAnswer: 62762690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*d**3 + d - 19*d**3 - d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*a**2 + a**2 + 0*a**2)*(5*a - 5*a + 2*a)*((1 + 0 - 4)*(-3 + 3 - 2) + 1 - 4 + 4).\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -2a3a7b (base 13) to base 11\nAnswer: -648885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 43 + -21. Let w = 37 - u. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -16.5 (b) 1 (c) -147.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - j + 1)*(-3 + 3*j**2 + 3)*(4 - 4 + 5*j).\nAnswer: -15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 - -4 - (1 + 8)) + 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 3*j + 2*j - 2 = 0, 3*s = 4*j + 8. Suppose s = 2*u - u + 2. Let h be -3 + (-2)\/(-2) - u. Solve -o - 1 = -h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q - 4*f + 1 = -15, -2*q = 5*f - 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 2940316, 2940313, 2940310, 2940307?\n\"Answer: -3*b + 2940319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) -4 (c) -222 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 4*y**3 - 136*y**2 + y - 40. Let i be u(34). What is the third biggest value in -291, 0.4, -2\/11, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = y - 9, -y - 4*h = -6*y - 12. Let u(t) = -t - 1. Suppose 25 = -5*j - 5. Let s be u(j). Sort 3\/5, s, y in ascending order.\nAnswer: y, 3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 6*f**3 + 6*f**2 - 7*f - 10. Let o(y) be the first derivative of y**4 + 4\/3*y**3 - 5\/2*y**2 - 1 - 7*y. Let m = 23 - 28. Calculate m*c(n) + 7*o(n).\nAnswer: -2*n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11539554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q + 3*x - 6 = 0, -176*q + 170*q = 4*x + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 19, 31, 37, 37, 31?\n\"Answer: -3*u**2 + 21*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/(-2) - (4 - 28\/8). Which is greater: u or 6\/229?\nAnswer: 6\/229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -72*y + 67*y + 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 28231?\nAnswer: 2\/28231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.768575 micrograms to grams.\nAnswer: 0.000009768575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((sqrt(49)*-4*2 + sqrt(49) + sqrt(49))*-1)\/((sqrt(7) + (sqrt(70)*1)\/sqrt(10))*-4).\nAnswer: -3*sqrt(7)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 0.2 <= 186257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:26 PM and 7:33 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be -4*7117\/86196 + (-1)\/(-3). Let k(u) = u**2 + 3*u - 3. Let a be k(-4). Is a >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -9*h + 5. Let n be ((-4)\/(-8))\/(1\/8). Suppose j - 23 = -2*u - 4, -n*u = -5*j - 17. Let q(s) = -14*s + 8. Determine u*f(t) - 5*q(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/(-14) - (-1)\/(21\/29). What is the nearest to 5\/3 in v, 3\/4, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u - 5 + u**3 - 5*u**2 + 6*u + 4*u - 12*u**3. Let d be 2 + (-2 - 0) + 8. Let g(l) = -17*l**3 - 8*l**2 + 14*l - 8. What is d*w(n) - 5*g(n)?\nAnswer: -3*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -268.8, -0.22, 3, -5 in descending order.\nAnswer: 3, -0.22, -0.3, -5, -268.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = 45.2 - 45. What is the second smallest value in j, -2, 0.4, 0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 3808778, 3808854, 3808932, 3809012, 3809094?\n\"Answer: y**2 + 73*y + 3808704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, z: 4, o: 2, t: 1}. Give prob of sequence oz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v + 20. Let l be i(-17). Solve l*u = 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -62 - -131. Suppose 42 = 4*j - m, -4*j + 5*m - 19 + i = 0. Calculate the remainder when 15 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -49, -192, -433, -766, -1185, -1684, -2257?\n\"Answer: n**3 - 55*n**2 + 15*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -3*c**3\/2 + 423*c**2\/2 - 8631*c + 83496 = 0.\nAnswer: 14, 56, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -2*d - 39*d**3 + d**2 + 0*d**2 + 4*d - 102*d**3. What is the remainder when j(-1) is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 33 and 1101?\nAnswer: 12111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 + (-7 + -1)\/(-2). Suppose 0 = n*l - 20 - 28. Suppose 2*w - 7*w = 2*i - 23, 17 = 5*i - w. Solve i*a - 8 = l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 79*j**2 + 20*j + 6. Calculate x(-2).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9 + 8275*c + 33 + 1865*c - 24 to the form n*c + m and give n.\nAnswer: 10140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 2 h when three letters picked without replacement from husequuhuququu.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*k + 3 = -67. Suppose 0 = -l - 2*t + 1, -l + 15 = -k*t - 7. Let z be -1 - (0 + -4 - 25). What is the highest common factor of z and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*a - 3404 = -a + 20*a. Let j = -10 - -100. Let l = a - j. Solve -l*w - 12 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 2*t + b - 2, 2*b + 8 = 5*t. Let m = 1 - 1. Suppose 2*l - l = m. Solve l = -t*h + 4*h + 2*n, 3 = 2*h + n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 8 - 8*t - 17 + 6 + 4. What is y(4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the first derivative of -113*x**5\/5 - x**2 + 33*x - 83. Find the second derivative of l(w) wrt w.\nAnswer: -1356*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -17604, -34977, -51896, -68133, -83460, -97649, -110472, -121701?\n\"Answer: 38*d**3 - d**2 - 17636*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*u**3 + 3*u**3 - 4*u**3 + u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/6*3*(-8)\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -d - 3 - 4, -d = -2*g + 6. Put -7, -0.7, 2\/17, d in decreasing order.\nAnswer: 2\/17, -0.7, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -21 - 14a?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1*(-2 - 0)\/2. Let l(x) = -x + 30. Let k be l(23). Let o = -6 + k. Is o >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 116 and 23287?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -492 - -496. Suppose -1420 = -2*j - 2*d, -q*d = 4*j + j - 3555. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*o**2 - 28*o**2 + 29*o**3 - 15*o - 24*o**3 + 60 + 23*o**2 - 5*o.\nAnswer: 5*(o - 3)*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 13 - 2*(-3)\/(-6). What is the greatest common factor of 96 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14223 - 8040. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65*u - 58*u - 14 = 0. Is 62 a factor of u\/(-6) + (-748)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -d**2 - 7*d + 10. Let l be c(-8). Suppose 4*x - 3*y = 328, 7*y - l*y - 105 = -x. What are the prime factors of x?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 + -14. Let h be (-2 - t - 4) + -1. List the prime factors of h\/(-11) + (-909)\/(-99).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -4*j**3 + 6*j**2 + 6*j + 8. Let h be 17*(-3)\/(-6)*-2. Let o(d) = 11*d**3 - 17*d**2 - 17*d - 23. Let q(a) = h*b(a) - 6*o(a). Differentiate q(l) wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003077880941 to 5 decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4124 is divided by 153.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from tvtvnvigtvnttvvtg.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -12912, 5, 1039.\nAnswer: -12912, 5, 1039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1625639.\nAnswer: 193, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -18057 * -0.1.\nAnswer: 1805.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes before 12:16 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 52\/7 - (-3)\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes after 7:49 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -y - 2*y - 9. Suppose -m = 4*m + 20. Let r = m - y. Let s(i) = -4*i**2 - i. Give s(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 2 (c) 0.2 (d) 0.39 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 2*c + 18. Let p(f) = -3*f - 25. Let m(g) = 7*d(g) + 5*p(g). Suppose 20 = 5*o - 70. Let r(i) = 8*i - 8. Calculate o*m(x) + 2*r(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v - 8. Let o be s(7). Let t be 9*(25\/o + 2). Suppose t*w - 84 - 57 = -3*m, -3*m = w - 137. What is the remainder when m is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/15 - 16\/(-24)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -92 - -390. Let c = 298.00601 - j. Round c to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 2*h**3 - 4*h**2 - h + 2. Give c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the first derivative of -6*o**4 + 52\/3*o**3 + 3*o + 0*o**2 - 14. Find the third derivative of v(t) wrt t.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5861072 divided by 602?\nAnswer: 9736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 42 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 60934 and 5988?\nAnswer: 182436396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 33*m - 153. Let s(a) = -32*a + 155. Let w(k) = -6*s(k) - 7*v(k). Let c be w(3). Solve 0 = 3*h + 27 - c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.5 (b) -1\/90 (c) -58 (d) -0.0122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4615*z + 4616*z = -5*t - 55, -5*z - t + 13 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p + 5. Let u(s) = 12*s + 1. Give -a(w) + u(w).\nAnswer: 11*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-8)\/6*(-3)\/(-2). Let g be 57 - (-7 + 2 - p). What is the greatest common factor of 40 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/5 or -127727?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 51608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -76, 0.5, -2\/3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the third derivative of j**6\/15 + 3*j**5\/10 + j**4\/2 + j**3\/3 + j**2 + 3*j. Suppose m(s) = 0. What is s?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -8*d - 9. Suppose 92*f + 296 + 350 = 186. Let t(p) = 1. Give f*t(b) - y(b).\nAnswer: 8*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -971 - -2088. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2455915 (base 10) to base 3\nAnswer: 11121202212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - -8 - (-13 + 8) - (-16 - 6).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4412587.\nAnswer: 4412587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -0*g - 9. Solve 23 = -g*v + 32 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (2\/6)\/(28*254\/(-12)*1) and 125\/18?\nAnswer: 16002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2438403*q**4 + 2263307*q.\nAnswer: -29260836*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t**2 + t - 1. Let o(g) = 16*g**3 - 21*g**2 - 5*g + 5. Let m(i) = o(i) + 5*v(i). Find the third derivative of m(k) wrt k.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -560 - -757. Let w = r - 197.9. Which is the third biggest value? (a) -5 (b) -1\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*v**2 - 26*v**5 - 47*v**3 + 47*v**3 wrt v?\nAnswer: -1560*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 524546533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*k = -45*k - 33 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/45, 5\/3, -2\/3?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -52*l**4 - 7960*l**3 + 23564*l**2 - 23040*l + 7488 = 0.\nAnswer: -156, 12\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from mfmmmfmmmfmffrf?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -304.0071 + 1508740.0071. Let n = 1508435.60000048 - b. Let o = -0.4 - n. What is o rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -4*x**3 + 5*x**2 - 44*x - 6. What is the units digit of f(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/32)\/((-1)\/(-8)*-2)*7760\/174600?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.4*8\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 18 - 11*r - 10 - 7. Let t be o(-13). Calculate the highest common divisor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_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: Which is the second smallest value? (a) 2\/5 (b) -0.5 (c) -4 (d) 1.2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 1 l, and 1 y when three letters picked without replacement from {y: 1, f: 6, x: 3, l: 5, a: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 977961160?\nAnswer: 2, 5, 11, 19, 116981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xhbrghzhbrrzz. What is prob of picking 1 h and 1 x?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**2 - 2*i**2 + 5*i**2. Let n(v) = 12*v**2 - 44*v**2 + 12*v**2 + 18*v**2. Calculate g(n(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lmmfmfmmllfommmoo. Give prob of picking 1 l, 2 m, and 1 f.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-10)\/(-24)*(-368)\/(-18400). Let s(i) be the third derivative of 0 + 0*i + 1\/6*i**3 + 1\/8*i**4 + 1\/20*i**5 + c*i**6 - 17*i**2. Factor s(h).\nAnswer: (h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -57 = -117*f - 291 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that -3*p**5 - 13538*p**4 - 15291150*p**3 - 40657644*p**2 + 25452185*p + 30510150 = 0.\nAnswer: -2255, -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11 - 16)*26\/2275 - 12\/840.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/((((m\/m**(-2))\/m)\/m)\/m))\/m*m)\/m)**(-22)*m*m**2*m*m\/(((m*m**(-2\/3))\/m)\/m)*(m**(3\/4)\/m)\/((m**7*m)\/m)*m**(2\/3)*m*m\/m**(-3\/7) assuming m is positive.\nAnswer: m**(211\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*j + 34884 = 60*j. Is j a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes after 10:43 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - -9 - (-5 + 16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -0*z - z. Suppose -5*a - 30 = -4*h, -z*h + 6*a - 2*a = -18. Solve -5*v = -0 + h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1355693191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 60514664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 2*n = -58, -n - 4*n = -2*o - 1. Let c(k) be the first derivative of -k**4\/4 + 13*k**3\/3 - 6*k**2 + 2*k - 1. Let d be c(o). Solve -d*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3828 and 792.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 2.1+-450\nAnswer: -447.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 22 (base 4) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -486 + 3*o - 4*o + 5098*o**2 - 491 + 978. Let x(i) = i**3 - 4*i**2 - 1. Let k be x(4). Let a be d(k). Round a to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k = 623 - 372. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 5*v - 17 = -p, 4*p = 5*v + 9. Let c be 1 + 3*4\/(-24)*p. Suppose 3 = 3*b, -c*s + 5*s + b - 663 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4799 + -3345. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2 and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 574 + -564. Let q(r) = r**3 - 9*r**2 - 5*r + 4. What is the remainder when 256 is divided by q(f)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.12959926 - 1981.02189926. Let x = 1981 + q. Round x to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1031443034 (base 5) to base 13\nAnswer: 5c8a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 9 + j**2 - 6*j**2 + j**2 - 4*j. Let u = -9 - -11. Let r(i) = 5 + i**u - 6*i + i**2 + 4*i - 4*i**2. Determine 6*a(y) - 11*r(y).\nAnswer: -2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = -13.4 + 15.4. Let i = 0.7 - -2.3. What is the third smallest value in 1, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*k**3 + 142*k + 4*k**3 + 2 + 0 - 158*k to v*k**2 + s + o*k**3 + x*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 - -2. Let m = 9.6 + -10. What is the closest to q in -3, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15025 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - 3 - (16\/(-10))\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-12)\/(-48) - 153\/24 and 125\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 356*j**2 - 356*j**2 + 33*j**4 + (-2 + 3 - 3)*(-j**4 - 3*j**3 + 3*j**3).\nAnswer: 35*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 2*d + 4 = 3, 2*d + 2 = -4*t. Let o be 192\/8*(t - 12\/(-9)). Let f(n) = -o + 0*n - n**2 + 0 + 6*n + 4*n. What is f(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02 plus 3772149691?\nAnswer: 3772149690.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 96*c + 81*c + 79*c + 87*c - 344*c + 4 + 2. Let y(b) be the second derivative of -b**3\/2 + 11*b**2\/2 - 2*b. Determine -7*v(r) + 4*y(r).\nAnswer: -5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.16 + 0.24. Let w be (-4)\/18 - 40\/144. What is the nearest to 10 in 0.5, v, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the second derivative of 14*q**4\/3 + 3*q**3\/2 - 5*q**2\/2 + 42*q. What is the hundreds digit of b(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 30.41681 weeks to microseconds.\nAnswer: 18396086688000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -33*c + 126. What is j(-12)?\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 993*f + 1949*f - 1696*f - 4824*f - 4727*f - 2 as a*f + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 317*a + 315*a - 626*a + 6*a**3 + 105 wrt a.\nAnswer: 18*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1031.3 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 11561 take away 0.15?\nAnswer: 11560.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r = -5*l - 199 + 204, -5*r + 3*r = -3*l - 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -a + 6 = 3*m, 2*m + 92730*a = 92727*a + 25 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**3 - 8*f**2 - f - 5. Let c be n(-8). Let q be (c\/(-15))\/(3\/101). Let b = q + 19\/3. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -10*d**3 + 5*d**2 + d - 7. Let s(v) be the second derivative of 29*v**5\/20 - 7*v**4\/6 - v**3\/2 + 10*v**2 - 1414*v. Calculate -17*m(z) - 6*s(z).\nAnswer: -4*z**3 - z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -14, 0.1, -0.5, 12, -13103, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -122*i**3 + i**2 + i - 1. Let g be m(-1). Let n = 11 - 0. Calculate the highest common factor of n and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*g - 60 = -8*g - 5*g. Let d(f) be the first derivative of 8*f**2 + f + 2. What is the units digit of d(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-2\/5))**9\/(t**(-8)\/(t\/(t*t**(-1\/3)*t*t))))**(-27\/4) assuming t is positive.\nAnswer: t**(-369\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**3 - 3*m**2 + 16*m + 10. Let o be y(-5). Let w be 30\/o + (-30)\/(-4). Which is smaller: 10 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -2592*r**2 + 638*r**2 - 2822*r**2. Let p(a) = -2*a. Calculate m(p(g)).\nAnswer: -19104*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 29\/3 of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 307885879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p - p = 0. Let y = p + 6. What is the greatest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/245, -1.5, -3\/11?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1255170 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.03561 - -0.10161. Let j = 7.68 + -11.746. Let t = o + j. Which is the fourth smallest value? (a) t (b) 1\/4 (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 9497*f - 4155*f - 3619*f + 5 as z + m*f and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 131, 273, 417, 563?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 492 minutes before 11:10 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = p + 4*d + 36, -4*d + 24 = 2*p. What is the highest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 14, 94, 204, 326, 442, 534?\n\"Answer: -3*t**3 + 33*t**2 + 2*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -147*d + 145*d = 4*a - 44, -4*d + 121 = -3*a - 0*a for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 13, r: 5}. Give prob of picking 3 u.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f be (11 - -2) + (-16 - -8). Find the second derivative of 113*j**5 + 2*j**4 - 211*j**f + 103*j**5 + 177*j wrt j.\nAnswer: 100*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 89*c - 17831. Calculate h(201).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -0*a - 5*v + 14, 0 = a - 4*v + 13. Solve 7 = -a*x - 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/7 (b) 74 (c) 2\/7 (d) 0.4 (e) 668\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0.2941586 + -29\nAnswer: -28.7058414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -601.68 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -84 = -7*x + x. Solve x = 4*c + 3*v, c - v - 3*v = 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3, 28.5 in increasing order.\nAnswer: 1, 3, 28.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1404216607?\nAnswer: 173, 1913, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(15)\/(sqrt(9)\/sqrt(3)) - (sqrt(20)*-2)**2.\nAnswer: -80 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -12997116482314 + -3?\nAnswer: -12997116482317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5317 + 5366. Calculate the remainder when 291 is divided by t.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*y - 4*b - 47 = 20*y, -5*y + 5*b = -40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, b: 1, n: 1, y: 1, l: 1, x: 6}. What is prob of picking 4 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-12)\/(-45)*6)\/(106\/(-265)). Sort 1, -43, t in descending order.\nAnswer: 1, t, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -50, -107, -170, -239, -314, -395, -482?\n\"Answer: -3*r**2 - 48*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the first derivative of -1\/3*w**6 + 0*w - 2*w**2 + 2*w**5 - 9\/2*w**4 + 14\/3*w**3 + 2. Factor p(f).\nAnswer: -2*f*(f - 2)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -74.7 rounded to the nearest integer?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -1391668.\nAnswer: 3\/1391668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 - 221*a**2 + 698*a - 9583. Give r(218).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2220351.\nAnswer: 3, 7, 23, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -4, 25 in increasing order.\nAnswer: -5, -4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4107 + -4101. Calculate the least common multiple of 406 and g.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-48)\/(-16))\/((2 + 0)\/(-2)). Suppose 15 = 3*n + 3*f, f + 4*f - 22 = -2*n. Put k, 0.3, n in descending order.\nAnswer: n, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -3*r - 1 + r - r + r**2. Let c be d(4). Suppose c*o = 11 + 7. Calculate the greatest common factor of o and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p - 35 = 2*g, 15 = 4*p - 5*g - 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2 take away 164?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -12 + 14. Suppose v*k - 2*q = 3928, 0 = -k + q - 5*q + 1944. Suppose -22*y = -15*y + k. What is y rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/30 and -53\/29?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 119329.4 litres in millilitres?\nAnswer: 119329400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 82 - 46. What is the greatest common factor of a and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 63963591*w**4 + 62810324*w wrt w?\nAnswer: 767563092*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**3 - m**2 - 3*m - 7. Suppose -3*k - 2 = o, -2*o = -0*o + k + 9. Is p(o) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {w: 6, i: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49*s + 12*s + 17*s + 18*s + 4553 + 2124.\nAnswer: -2*s + 6677","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**3 + 15*y**2 + 15*y + 22. Let z be 235\/10 - 8 - (-3)\/6. Determine c(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1457? (a) -4 (b) 0.1 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -62 - 150. Let b = y + 334. List the prime factors of b.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.73 and -4946062.\nAnswer: 3610625.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/5, 0.079, 2.4, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-49*u**3 + 43*u**3 - 65*u**3)*(26*u - 12 - 2*u - 19*u) as j*u**4 + b*u**2 + m*u**3 + q*u + s and give j.\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4\/11*s**3 + 0*s**2 + 0*s + 0 + 10\/11*s**5 - 6\/11*s**4 = 0. Calculate s.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101001101111000000 + 0?\nAnswer: -101001101111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1945*4.\nAnswer: -7780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.3 and 57386115430967.\nAnswer: 57386115430967.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.129 - -5623.34156355\nAnswer: 5623.47056355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the third derivative of -c**8\/112 - 7*c**5\/30 + 13*c**2. Find the third derivative of a(w) wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 13 - 8)*((-3*x**2 + 0*x**2 + x**2)*(-4*x + 3*x - x) + 8*x**3 - 27*x**3 + 8*x**3).\nAnswer: 112*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of a*g**2*s + 10*a*g**2 - 10*a*s - a + 3*g**2*s wrt s?\nAnswer: a*g**2 - 10*a + 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32378440 divided by 9.\nAnswer: 32378440\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1, 1\/8, 9, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2984 - -2989. Let d(u) = 9*u - 58. What is d(f)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 519 is divided by 88?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1074\/(-39)*18\/(-36) + -13.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2285 + 2312. Solve -6*j + r*j - 126 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -188.09*1.2\nAnswer: -225.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**3 + k - 2. Let n be f(0). Let x = -270 + 820\/3. Let b = x + -52\/15. Sort n, b, 3.\nAnswer: n, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -2*s - 2. Calculate the least common multiple of l(-2) and (-1)\/(3 + -2) + 12.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9738 = -35*x + 34203. Is 44 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(3\/4)\/y*y**(6\/7))**(2\/81) assuming y is positive.\nAnswer: y**(17\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the first derivative of j**4\/4 - 4*j**3\/3 - 2*j**2 - 3*j + 2. Let m be b(5). Solve -m*w = -5*f - 23, 0 = -0*f - 2*f + 4*w - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 140 = g, 9*f - 4*f - 2*g = 140. Suppose a + 13 = 2*z, -5*z - 6*a + f = -10*a. Solve 2 = -5*n - z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g**(-23)*g)\/g)\/(g*(g**(-39)\/g)\/g*g))\/((g*g\/g**0*g*g)\/g**34) assuming g is positive.\nAnswer: g**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u**(9\/4)\/u)**(-2))**2)**(-40) assuming u is positive.\nAnswer: u**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 12 = f. Suppose -v + 40 = f*v. What is the least common multiple of v and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -2*h**3 + 30*h**2 - 124*h - 147. Let l(z) = 4*z**3 - 32*z**2 + 124*z + 148. Let q(g) = 3*l(g) + 4*x(g). Factor q(j).\nAnswer: 4*(j - 4)*(j + 1)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = 3*j - 2341, j + 2*a = 3*j - 1550. Suppose -151 = -t + 3*d, 5*t = 4*d - 0*d + j. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tv when two letters picked without replacement from {t: 1, z: 2, u: 2, k: 1, v: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes before 7:14 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = 4*h + 6468612, 5*i = 3*i - h - 3234310. Let v = 1782843 - i. Round v to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qsss when four letters picked without replacement from {s: 4, w: 6, q: 3, k: 3, o: 2, z: 1}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*s - 1582*x + 1580*x, -2*s - 4*x - 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bkeedlyk. What is prob of sequence deyd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1409.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 178442062 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 1606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3.052 + -0.052. What is the nearest to -1\/6 in 2, o, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*o*p + 20951*o + 1543*p with respect to p.\nAnswer: -2*o + 1543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of 4 and 40299.\nAnswer: 161196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 8*q = 20, 0 = p - 5*q + 31. Let x be 229\/7 - p\/21. Suppose -h + 6*h - 135 = 4*o, 0 = -h + 2*o + x. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 3*s**2 + 7*s + 7. Let t be x(-2). Let j(n) = n**2 - 5*n + 2. What is j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 43401145 (base 6) to base 11\nAnswer: 802025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -2*1\/45*((-8580)\/(-3120))\/((-22)\/(-16))\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5586 and 6384.\nAnswer: 44688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1886*s**2*u**2 + 3*s**2*u + 21*s**2 - 2841454*s*u**2 wrt s.\nAnswer: 3772*u**2 + 6*u + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 4594 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 45 = -5*h, -3*h - 129 = c - 102. Let l = 3.5 - 3. Let d = l - 2.5. What is the third smallest value in -4, d, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10 + 4. What is the common denominator of (-226)\/24 - t\/(-9) and 1\/2*((-201)\/(-12) + -5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -2371319, -3, -18.\nAnswer: -2371319, -18, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 747*h - 65*h + 1019 + 7165 = 0 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 19 - 19.3. Let f be 2\/12 - (-22)\/84. What is the third smallest value in s, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 30*z - 23. Let m(g) = 15*g - 12. Let r(s) = -11*m(s) + 6*v(s). Find the first derivative of r(p) wrt p.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (49\/26264)\/(3\/48).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24326121?\nAnswer: 3, 1733, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 181811*w**4 - 2*w**3 - 3*w**2 - 104803137.\nAnswer: 727244*w**3 - 6*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 17 - 12. Sort 2, q, -5 in increasing order.\nAnswer: -5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes after 10:20 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 34403, 68841, 103279, 137717?\nAnswer: 172155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ppe when three letters picked without replacement from {p: 7, e: 2, q: 6}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(1100)*-3*-6)\/((-2*sqrt(3888))\/(sqrt(768) - 2*sqrt(768))).\nAnswer: -120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11 and 1661?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(-56) - (100 - (-2224313)\/(-22932))?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 15, 19, 9, -15, -53, -105?\n\"Answer: -7*p**2 + 25*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/105*3*(-5)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be -5 + 11 + -5 + 449. Let p = o - 421. Suppose -18 = -3*g + 6. What is the remainder when p is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 27*g + 191. Let z be b(-7). Solve 0 = -4*p + 12, 5*m + z*p = -0*p - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 151754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve p + 3*a = -176 + 175, -2*a = 11*p - 51 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 11856598 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1472957334 divided by -6?\nAnswer: 245492889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -20 + 1 + (8 - -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i**3 - 4*i**2 - 7*i + 32. Let p be o(4). Solve p*c + 5*y = -15, -11 = 3*c + y + 3*y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 5*c + 4. Let s(b) = 3*b + 2. Let f(l) = -5*l + 11. Let z be f(5). Let n = z - -7. Calculate n*s(o) + 4*d(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 8, t: 2}. Give prob of picking 2 t and 1 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {s: 7, u: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3051 or 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -10, -2 = 4*z - 5*l + 11. Solve 6 = -n - 2*v, -v = z*n - 0*n + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*r + 7*r + 23 = 0. Let s(n) = -n + 50. Is 8 a factor of s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the first derivative of m**2 + 2 + 1\/4*m**4 + 0*m + 4\/3*m**3. Give d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g + 17. Let t be (0 + 2 - 8)\/1. Is h(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*p**3 + 23577244*p**2 - 34742913953340*p + 34742890376100 = 0. What is p?\nAnswer: 1, 2947155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = -28663 + 47280. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbv when three letters picked without replacement from {v: 9, b: 7}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/9 in 2.5, 0.02, -33, 8?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1477905 to the power of 1\/2, to the nearest integer?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10769637 + 10769637 - 140*l**2.\nAnswer: -140*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u + 14. Calculate the least common multiple of t(-8) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4170261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 62003 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1.5 or -2\/2989055?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes before 6:31 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 70278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 - 169)*(-36)\/(-48). Let f = 54 - i. Does 30 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2376 and 84672?\nAnswer: 931392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -77, 7, -0.5, 0.45?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 147 a factor of 20521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11\/4 - -9\/4. Let b = -1052695\/11 + 95699. What is the closest to 0.1 in b, r, -2\/3, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 138049 is divided by 140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 147, 105, 61, 15, -33, -83?\n\"Answer: -i**2 - 39*i + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(78)\/sqrt(2)*-1 - sqrt(39)) + sqrt(39))\/sqrt(3).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14 + -4 - -9) + -12 - (-2 - 6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 1999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*o**5 - 3*o**5 - o**5 - 648 + 648 + 5*o**5 + (o**2 - o**2 + o**3)*(0 + 0 - o**2).\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -340 + 340.5. Put -1, -16, y in increasing order.\nAnswer: -16, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1238594823?\nAnswer: 3, 17, 157, 51563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -53 = 4*c + 14*c + 127 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 4*f = -6256, -f - 15 + 11 = 0. Suppose -23*t = 3*t - l. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1239779000 to the nearest 1000000.\nAnswer: 1240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 11751 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 25 = a + c, 5*c + 5 = 3*a. Let t(p) = p**3 + 6*p**2 + 3*p - 5. Let r be t(a). Suppose -h + 2*h = -x + 33, -20 = -r*x. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 296 and 1.4.\nAnswer: 414.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -9 - -15. Let n = 8 + 0. Let r = n - m. Solve -4 = 4*i + 2*h, -r*h - 2 = 3*i - 0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 36 in -1\/10, -24\/5, 3, -3\/8, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 897*s - 401*s - 444*s - 4*s**3.\nAnswer: -4*s**3 + 52*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12712, 12713, 12714?\nAnswer: 12715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 6005 divided by 5\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 + -4 + (2 - (-7 - 0)). Let l(b) = -h*b + 2*b - 3 + 27. What is l(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*g**2 + 71*g**3 - 109*g**3 + 54*g**3 - 6*g**2.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 5841 (base 12) to base 9\nAnswer: 14444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -286 = -4*c + g, -5*g = -4*c + 362 - 84. What is the greatest common divisor of c and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 87\/5 of a millennium?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 10117, 9977, 9839, 9703, 9569?\n\"Answer: j**2 - 143*j + 10259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -96133 less than or equal to -96136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes before 4:21 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 + -33. Let n = -35 + t. Let b = 119 + n. Does 26 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2 - -212100?\nAnswer: 212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**2 + 27606*q - 3599225.\nAnswer: -(q - 27475)*(q - 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 4249884 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/10*(-30)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15)\/945 + (-5168)\/126882?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7 + -3. Let f = -60 - -91. Suppose -165 = -5*j + 3*g, 0 = -2*j + j + g + f. What is the greatest common factor of q and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.069*118.\nAnswer: -8.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 38 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 20848 - 10621. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -2\/5, -12, 0.075?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 4*l = 4. Let i = 9.58 - 59.58. Which is bigger: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x**5\/2 - 101*x**4\/2 - 1191*x**3 - 2417*x**2 + 28301*x\/2 + 30855\/2 = 0. Calculate x.\nAnswer: -17, -5, -1, 3, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - (-6)\/(-1)) + (-400)\/(-56)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b**3 + 6*b**2 - b. Let k be f(5). Suppose -g + k = g. Factor -4 - 5*z + 9*z**3 + 6*z + 7*z + 27*z**2 + g*z**3 + 4*z**4.\nAnswer: (z + 1)*(z + 2)**2*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 24428165*v**5 + 61639041*v wrt v?\nAnswer: 488563300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 133, 135, 137, 139, 141, 143?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 11 - (-17 - -27) - (0 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 508, 2032, 4566, 8110, 12664, 18228, 24802?\nAnswer: 32386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3\/5 + 106*h**2\/5 + 304*h + 1320.\nAnswer: 2*(h + 10)**2*(h + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -403 times -84\nAnswer: 33852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -374 + 375. What is the biggest value in 4, -0.2, -1\/3, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-95)\/45 + 66502\/7299\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 = 2*f + q, -5*q + 10 = -5. Let y = f + -5. What is the nearest to 1 in 1\/2, y, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**2 - 13*u + 26. What is the smallest common multiple of 5 and o(13)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -3*j - 3. Let n(v) = -2*v**2 - v + 1. Let f be n(2). Let m be (12\/f + 2)*-3. What is the units digit of z(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 99*o - 671. Let d be s(7). Solve n + 4*p + 5 = d, 19 = -n + 5*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 60454999?\nAnswer: 11, 59, 93151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:54 PM and 7:38 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -10528424 divided by -10528424?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 83*m**5 - 2*m**3 - 243*m**2 wrt m.\nAnswer: 4980*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the third derivative of -1\/120*l**6 + 1\/24*l**4 + 0 - 7\/3*l**3 - 5*l**2 + 1\/60*l**5 + 0*l. Calculate i(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31744185 is divided by 18684.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 217*a = 80*a - 3836 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1412 (base 5) in base 8?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the first derivative of -3*d**4\/2 - 32*d + 15. Find the first derivative of h(s) wrt s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/(-1) + 5 + -3. What are the prime factors of (h + (-5)\/(-2))*(-83 + 1)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - x = 3*x - 27, p + x = 6. Suppose -127 + 551 = 3*i - 2*k, -2*i + 261 = p*k. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (13*h**4 - 5*h - 6*h**2 - 18*h**4 + 3*h**4)*(-1 + 1 + 1) to the form c*h**2 + n*h**4 + g + u*h + z*h**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 270\/(-24)*168\/(-378).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/3)\/((-872)\/(-86328))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**5. Let u(k) = -3*k**5 + 17*k**2 - 61*k. Suppose -4*n + 1 + 3 = 0. Let y(d) = n*i(d) + u(d). What is the second derivative of y(b) wrt b?\nAnswer: -40*b**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6634 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 41.7 * 0.06\nAnswer: 2.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -120320202 (base 4) to base 12\nAnswer: -4ab96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -373\/8 + 47. Suppose -5*x - a + 59 = 0, 2*x + a + 3*a - 20 = 0. Let f be -15 + x + 1 + 0. Sort 0.1, f, z in ascending order.\nAnswer: f, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 95 = -3*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6\/7, -5, 2\/3, -1, 0 in decreasing order.\nAnswer: 6\/7, 2\/3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -3036107 - -2.9\nAnswer: -3036104.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -53, -8, -4 in decreasing order.\nAnswer: -2, -4, -8, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 519, 937, 1507, 2313, 3439, 4969, 6987, 9577?\n\"Answer: 14*g**3 - 8*g**2 + 344*g + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6\/(-4) - 5\/(-2). Let i = 4 - 0. Put c, i, 3 in descending order.\nAnswer: i, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 7\/(-2)*1288\/1127 - 46\/(-11)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 5567883.7 to the nearest one hundred thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -14205 + -131622?\nAnswer: -146130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -51, -57, -65, -75?\n\"Answer: -z**2 - 3*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add together 346 and 2.538.\nAnswer: 348.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(252) + -3*-1*sqrt(252).\nAnswer: 4 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1399 a factor of 391261128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = 2*j + 8 + 109, 0 = 2*f - 4*j - 70. What is the remainder when f is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.01 or -0.3976?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mkkkbkbmkbbbkclkkkkl. What is prob of sequence kl?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*((-12)\/1)\/(-6)*(-12)\/6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 38 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 4*k = 24, -j - 14 = k + k. Let i be j\/10 - (-23)\/(-5). Let t = 9 + i. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-2)\/(y*y**1\/y))\/((y*y**(1\/6))\/(y**(-5)*y)))\/(((y\/y**7)\/y**0)\/(y**(-1\/3))**(-38)) assuming y is positive.\nAnswer: y**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2179817 to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 30719660 to the nearest integer?\nAnswer: 5543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 109.396 + -106.2. What is q rounded to one dp?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1153123620 to the power of 1\/2, to the nearest integer?\nAnswer: 33958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 38 and 874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5832000*f**5 + 5880600*f**4 - 11615265*f**3 - 776519*f**2\/8 - 2159*f\/8 - 1\/4 = 0. What is f?\nAnswer: -2, -1\/360, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 5*z = -2*g + 4, -2*g + z = -4. Solve -10 - 5 = -g*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -259 * 319.697.\nAnswer: -82801.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be 10 - 3 - -1*1. Let o be (2\/(-4))\/(2\/j). Let i = -207 + 206. Are i and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**3 - 3*j**2 - j - 6. Let n be g(6). Suppose 4*x = 2*x + y + 27, -42 = -3*x + 2*y. What is the greatest common divisor of n and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 973 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2 + 4. Let u(z) be the second derivative of -z**4\/12 + 17*z**3\/6 - 24*z**2 + 2*z + 3. Let r be u(14). Sort x, -2, r, 1 in decreasing order.\nAnswer: x, 1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (286\/(-66))\/((-1209)\/744)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 21647 + -15996. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -2036*z**3 + 12 + 13*z - 3 + 2035*z**3 - 11*z**2 + 3. Determine g(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-j + j + 2*j + (1 - 5 + 5)*(-4*j + 0*j + j))*(j - 4*j + 2*j)*(-166*j - 69*j + 331*j) as w*j**3 + s*j**2 + r*j + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 512*g - 23874. Calculate j(49).\nAnswer: 1214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 20 by 49.\nAnswer: 20\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1581 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) be the second derivative of 0*s**2 + 0 - 39*s + 0*s**3 - 5\/6*s**4. Let w(t) = 2*t. Give w(o(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is p in 5*p**4 - 5*p**3 - 155*p**2 - 355*p - 210 = 0?\nAnswer: -3, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.5 - 0.3. Let z = 295.5 - 295. What is the closest to -2 in 3, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3 - 1)\/((-4)\/(-142)). Suppose -3*g = -3*q - 84 - 3, d = 3*g + q. Solve -3*z + 37 = 5*b, -4*b = z - g + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**2 - 3*j + 1. Let v(f) = -f + 5. Let n be v(3). Let r be z(n). What are the prime factors of 30*(r\/2 - -1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -201101112120 (base 3) to base 12\nAnswer: -164a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-one quarters of a minute in seconds?\nAnswer: 915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -46, -151, -318, -541, -814, -1131?\n\"Answer: l**3 - 37*l**2 - l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be 28\/(-10)*(-3 + -2). Suppose 3*i - w = -0*i - 2*v, 5 = 5*v. Suppose -i*f = -6*f. Solve -2*r - r = f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvvvavmvav. Give prob of picking 1 a and 3 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 7483457 a multiple of 1691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -613257 plus 4403.2?\nAnswer: -608853.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -334*v + 1206 + 338*v - 1198. Determine d(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (405 - 2)\/((1\/(-81))\/(5 - 6))?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z**2 - 387*z - 10276. Give o(-28).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 2 = 7. Suppose o + 7 = 4*c - 17, -33 = -w*c - 3*o. Is c at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 57, 85, 115, 147?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 103 a factor of 18184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -2*y - 2. Let s be k(-4). Let l = 0 + s. What is the third derivative of -2*z**2 + z**2 - 2*z**l - z**6 - z**2 wrt z?\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -18083978*a**3 - 3116213*a**2 - 4?\nAnswer: -108503868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 2*s - 14 = -4*g, -s + 8 = 3*g. Suppose -r - f = -95, g*r + 4*f = 2*f + 285. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 divided by 46.\nAnswer: 9\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = 3*j - 207, -j + 3*g + 71 = 2*g. Let b be (37\/j)\/(2*1\/48). Is (-10)\/b*-4*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 61445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4248 and 124136?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/(10\/(-5)) + 7. Let j(v) be the second derivative of 0 + 2*v - 1\/4*v**4 + 1\/3*v**3 + 0*v**2 + 1\/20*v**d. What is s in j(s) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13876061 is divided by 130.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 218552 and 272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12 + 4. Let c be (2\/(-3))\/(d\/(-12)). Is c\/3 - 64\/(-3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 35271c (base 13) to base 4.\nAnswer: 10310023032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - -4) + -7 + (7 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -x**3 - 3*x + 3*x - 5*x**3 + x**3 + 3*x**3 + (-2 + 3 + 1)*(-4*x**3 - 2*x**3 + 5*x**3) + (0*x**3 + 5*x**3 - 4*x**3)*(-2 + 11 + 0).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 222 (base 3) in base 4?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 13\/42 + -1\/7. Let l = 13 + -12.7. Which is the second biggest value? (a) 5 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52553114891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/5, -27, -66\/71, -0.4, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the third derivative of -i**5\/6 - 3*i**2. Let g(c) = -9850*c - 9846*c + 19691*c. Give w(g(t)).\nAnswer: -250*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3015 - -2990)\/(1 + 1 + -1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -173, -392, -615, -842?\nAnswer: -1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/219, -1, 0.26, 2, -0.2, 2\/7 in ascending order.\nAnswer: -1, -0.2, 2\/219, 0.26, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnmnnnccnnccmm. Give prob of picking 4 n.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y - 21 - 14. What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 2\/(-5) + (-616)\/(-90) and 0 + (-4)\/14 + 2460\/4200?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*d**5 + 0*d**5 + 2*d**5 + (3*d**2 - 3*d**2 - 2*d**2)*(2*d**3 - 928 + 79219*d - 79219*d).\nAnswer: -6*d**5 + 1856*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y**3 - 6*y**2 + y - 8. Calculate w(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-88 + 88 + 8*w + (-3*w - 2*w + 4*w)*(5 - 2 - 2) + 2*w - 6*w + 2*w + w + 0 + 0 - 3*w - w + 2*w)*(3 - 1 - 1).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor r**4\/2 - 45556*r**3 + 1037674568*r**2.\nAnswer: r**2*(r - 45556)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -20, -18, -18, -20, -24, -30?\n\"Answer: -h**2 + 5*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*k**2 + k**2 + 5*k - 5*k + 5 to t + m*k + y*k**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -729, -1458, -2187?\n\"Answer: -729*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -3*m - 2. Let w(n) = 7*n + 5. Let h(l) = l**2 + 32*l + 130. Let y be h(-5). Let x be ((-3)\/y)\/(69\/230). Calculate x*w(f) + 5*j(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -141604750 + 0.4?\nAnswer: -141604749.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, u: 5, y: 1, j: 4}. Give prob of picking 2 u.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1537, -3076, -4615, -6154?\nAnswer: -7693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -3.1. Let n = 4 + 0. Which is the third biggest value? (a) 0 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 33.8 - 33.7756. Let z = -0.3244 + y. What is the closest to 1\/4 in -1, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, u: 3, k: 6, t: 2, m: 2}. What is prob of sequence uum?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -85, -342, -771, -1372?\n\"Answer: -86*w**2 + w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the third derivative of -4*r**6\/15 + r**5\/30 - r**4\/24 - r**2 + 67*r. Let g be ((-12)\/(-42))\/(4*(-2)\/(-28)). What is y(g)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 0.4, 0.6, -358115, 5\/4, 0.1, 4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 17707 > 3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4257\/77 - (-6)\/(-21))*16\/(-40).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 12) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1033201110 (base 4) in base 11?\nAnswer: -202796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -7 - 3*l - 40*l + 20 - 2. Let n(k) = 1. Let w(j) = c(j) + 6*n(j). Differentiate w(g) wrt g.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -8*d + 6. Let l be i(9). Let b(u) = u**2 - 6*u + 4. Let s be b(4). What is the common denominator of (3\/4)\/(s\/l) and -23\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**2 + 6*p - 27. Let o be g(3). Let i be (-24)\/((-16)\/(-4)) + o. Let m = i - -28\/5. What is the closest to m in -6, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 89402609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1\/13321 + -386277\/426272. What is the common denominator of n and (1786*50\/34200)\/((-6)\/4)?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 464 = 435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 - 47 - -2 - -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.88 + 0.87999959. What is c rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = -4*j - 3*a, -74586*a - 8 = -74588*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 2 i when three letters picked without replacement from {y: 4, e: 2, x: 2, i: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -53751, -53895, -54037, -54177, -54315, -54451?\n\"Answer: o**2 - 147*o - 53605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3\/7 or -878009.39?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 4*w**3 + 3*w**2 - 3*w. Let x be i(1). Suppose x*s + 2*q = 24, -7*q = -10*q. Calculate the highest common factor of 18 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -868295*u + 134. Let d(s) = 2*s. Determine d(o(h)).\nAnswer: -1736590*h + 268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**3 - 235*w**2 + 1843*w - 6277. Calculate j(227).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 0.1 = 3247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(75)*2 - sqrt(75))**2 - (1 + sqrt(75))**2*2.\nAnswer: -73 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -763 or 3\/19069?\nAnswer: -763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x\/x**(-36))*x**(-2\/23)\/x)**(-37) assuming x is positive.\nAnswer: x**(31561\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - -4 - -1 - 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -113016520 divided by 4.\nAnswer: -28254130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -114622 (base 8) to base 5\nAnswer: -2224224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 150899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 - -6217979?\nAnswer: 6217975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 34359539 to the power of 1\/2, to the nearest integer?\nAnswer: 5862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**2 - 5*x - 3. Let w be f(7). Suppose w = 4*v - 3*d, -2*d = v - d - 1. Suppose 2*i + 0*r = r + 29, -38 = -4*i - v*r. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (5\/2)\/(-1)*(-368)\/115. Let y be 28\/a - 1\/(4\/(-2)). What is the third derivative of 11*i**y - 30*i**2 + 34*i**4 - 6*i**4 wrt i?\nAnswer: 936*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -158, -440, -748, -1094, -1490, -1948, -2480?\n\"Answer: -2*l**3 - l**2 - 265*l + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 191 = -69. Calculate the remainder when n is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -58602 - -2?\nAnswer: -58600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 3*q - 5*x + 2, 5*x = -4*q + 3. Let y be q - (0 - (3 + -7)). Let a be (y - -2) + 2\/1. Solve 5*w = 4*w + a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -6269 or -6272?\nAnswer: -6269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -132 = a + 3*a. Let z = a - -37. Let w be 1\/((-3)\/((-12)\/z)). Solve 0 + w = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -f**4 - 172*f**3 + 12*f**2 + 2080*f + 2752 = 0.\nAnswer: -172, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*p - 3*p + 2*p)*((p + 0*p - 4*p)*(4*p**2 - 5*p**2 + 2*p**2) + 0*p**3 + 3*p**3 - 2*p**3).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine fifths of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1333 (base 4) in base 5?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.2*-9664080\nAnswer: 1932816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1496 (b) 106 (c) -3\/4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -4*o**2 + 2578248*o - 41250944 = 0.\nAnswer: 16, 644546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be (5 - 19)\/(-2) + -3. Sort 165, 1, s, 5.\nAnswer: 1, s, 5, 165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -22 + r**2 + 13*r**4 - 27*r**4 + 12*r**4 + r - 16 - 33 as x*r**2 + g*r**3 + y*r**4 + f*r + a and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffyfyfffyfy. Give prob of sequence ff.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 600337430?\nAnswer: 2, 5, 7, 11, 779659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 3*q - 26. What is n(13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m - 2*j - 6 = 0, -465*j + 466*j + 3 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 563967.42 rounded to the nearest one thousand?\nAnswer: 564000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -2*t + 19. Let p be m(12). Let a(v) = -4*v**3 - 3*v - 5. Let h(n) = 2*n**3 + n + 2. Give p*h(d) - 2*a(d).\nAnswer: -2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + s - 4*i = 41, 3 = 3*i. Suppose -3*w + s = 0, -5*z - 2*w + 65 = -5. Solve -x = 3*g + 2 + 1, g = -4*x - z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor q**3 - 96700*q**2 - 386812*q - 386816.\nAnswer: (q - 96704)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 36 and 111192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 11987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -243516 - 5525528.4\nAnswer: -5769044.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -178*m - 426. Determine u(-3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes before 10:01 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**7\/c)\/(c\/(c\/(c**7\/c)))*(c**(-2))**(2\/39))**14 assuming c is positive.\nAnswer: c**(-56\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 3*z = 0. Let h(f) = -f**2 + 5*f. Let g be h(5). Suppose 2*s + z - 12 = g. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 43 + -40. Suppose 0 = -3*m + i*s + 996, -5*s + 3*s = -4*m + 1338. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 470630 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) -0.0015352 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 19 + -17.2. Let d = 0.7156 + -0.4156. What is the nearest to 0 in d, 2, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.2 and 7062892.\nAnswer: 7062892.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 460711414?\nAnswer: 2, 461, 499687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 - 3*p**5 + 4 + (p**4 + 0*p**2 + 0*p**2)*(6*p + 0*p + 2*p) + 2*p**5 - 2*p**5 - p**5 + p + p**5 - p.\nAnswer: 5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -30 - -89\/3. Let g = 2.49 + -2.6. Let s = g + 0.21. Which is smaller: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 22 = -4*w. What is the units digit of 33\/w*6*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 24914*p - 373707. Let f be k(15). Suppose -10\/9*s**4 + 10\/3*s**2 + 2\/9 + 23\/9*s - 1\/9*s**f = 0. What is s?\nAnswer: -1, -1\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4.59 + 0.36. Let o = l - 5. Let b = 0.0499896 + o. What is b rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-170)\/35*1 - -5. Suppose 2*h - 3 = 33. Let m = h - 13. Which is the biggest value? (a) -0.5 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1455 + 112023\/77. Suppose -2*j - 38 = 36*j. Are j and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-5)*d*d*d**11\/d*(d*d\/d**0*d*d)**(-2\/9))**(1\/53) assuming d is positive.\nAnswer: d**(55\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 368976 and 548?\nAnswer: 50549712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 - -1. Is 0 - d - (-16 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d**3 - 4*d**2 - 259*d - 494 = 0 for d.\nAnswer: -13, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-2)\/2)\/2*-48. What is the remainder when (9\/12)\/(2\/c) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -299*u**2 - u**3 + 0*u**3 + 303*u**2 as a*u**3 + q + p*u**2 + r*u and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 116345 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*w = -2*b + 24*w + 12, 4*w = -24. Solve -s + 12 = 4*s - 3*y, 0 = -s - 3*y - b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 210 divide 36540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-524)\/(-7860))\/((-11)\/4290).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**2 - 56*z - 141. Let h(n) = -14*n - 34. Let f(t) = -18*h(t) + 4*r(t). Let f(o) = 0. Calculate o.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1718103 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 4*i + 100680 = 50358 + 50342, -3*t + 2*i - 4 = -2*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 578 - 2326 + 585 + 5157*v + 585 + 578.\nAnswer: 5157*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 15864, 126935, 428444, 1015617, 1983680, 3427859, 5443380, 8125469?\n\"Answer: 15871*p**3 - 7*p**2 - 5*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -95581 + 134605. What is the ten thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = 3*t - 4, -4*t + 4*o - 58 + 110 = 0. Solve -t*v - 22*v = -196 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2037\/4*r**2 + 0 + 339\/2*r + 9\/4*r**3.\nAnswer: 3*r*(r - 226)*(3*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**2 - 5*x - 2. Let v(r) be the second derivative of -r**4\/6 + r**3 + r**2 + 3*r. Let d(n) = 3*a(n) + 2*v(n). Factor d(l).\nAnswer: -(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 175184039 to the nearest integer?\nAnswer: 13236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(351)*3 - sqrt(351))\/(sqrt(300) - 2*sqrt(300)))**2 + -4.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 61896.9 decades in years?\nAnswer: 618969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5 + 8. Suppose 0 = -m - 2 + 4. Factor 0*c + 1\/4*c**m - 1\/4*c**4 + 0*c**o + 0.\nAnswer: -c**2*(c - 1)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*x - x - x)*(-4*x + 3*x + 2*x) - 13 + 80*x**2 + 28 - 17 + 2*x to v*x**2 + p*x + r and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j be -9 - -1 - (-1 - 0). Suppose -2*h + h = 12. What is the units digit of j\/42 - 170\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 3\/27322?\nAnswer: 3\/27322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 175784550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that 6*d**4\/11 + 20*d**3\/11 - 48*d**2\/11 + 12*d\/11 + 10\/11 = 0.\nAnswer: -5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 33111948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(396) - -2*sqrt(396)) + 3)*2 - -3*(1 + (sqrt(396) - (-1*sqrt(396) - sqrt(396) - sqrt(396))))**2) + -5.\nAnswer: 180*sqrt(11) + 19012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o = -4*o. Suppose o = 2*l - 9 - 31. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the third derivative of 54*u**2 + 0 + 0*u - 1\/6*u**3. Let y(o) = -7*o**2 + 35. What is 35*n(j) + y(j)?\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -104 = -3*q + 244. Let w(c) = -c**3 - 6*c**2 - 179*c - 1070. Let d be w(-6). Calculate the greatest common factor of q and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1065 - 1061. Suppose 5*t - t - 36 = 0. Solve t*x - 5 = p*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 144446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 9871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = -11 + 3. Let r(o) = -21*o**2 - 28*o**2 - 26*o**2 + 74*o**2. Give r(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 478.839 - 3.327. Let b = w + 5.888. Round b to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -71\/382 or -1?\nAnswer: -71\/382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13 - 13. Suppose o = 4*v - v. Suppose 2*p + 32 = -0*p - 5*h, 0 = 2*p + 2*h + 20. Sort p, 2, v in descending order.\nAnswer: 2, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.07 + 0.37. Let r = -39 - -39.2. Let l = r - k. Which is greater: l or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3284342 is divided by 1066?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3, n: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 113 + 6. Calculate the remainder when h is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 325*b = -374*b + 7689 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 5, l: 3}. Give prob of picking 4 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 8, l: 5}. What is prob of sequence ll?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = o**2 - 1081*o. Let g(p) = 2169*p + 2159*p - 6496*p + 2167*p. Calculate g(l(u)).\nAnswer: -u**2 + 1081*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 2902554 by 126198.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 41 a factor of 36449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*n - 120035346 + 4907346 = 0. Round n to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.55? (a) 0.5 (b) -1\/4 (c) -0.5 (d) 0 (e) -56 (f) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1020*d - 267 + 2017 = 829 - 4179 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -12? (a) 3 (b) -2\/11 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1761, -1759, -1757, -1755, -1753?\nAnswer: -1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (50\/375)\/(42\/183) and -32\/63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/4 + (-295)\/10)*(61 - 60)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, 0.8, 7.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve a = -c - 3, -13*a + 8*a = -5*c + 25 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -5*f**2 - 8. Let h(d) = 3*d**2 + 5. Let v(b) = -8*h(b) - 5*s(b). Let y(r) = 4*r**2. Give y(v(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 39 (base 16) to base 10\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 5 + 3005*m**2 - 1494*m**2 - 2*m - 1504*m**2 + m**3 + 20. Determine n(-6).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 181268 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1533?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:54 PM and 8:14 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 431 = 26*s + 275 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -60473 - -1.31205?\nAnswer: -60471.68795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6\/5? (a) 5 (b) 2\/9 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 474\/2 - (2 + -1) is divided by (9009\/2574)\/(3\/(-9)*(-21)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 32319, 6, 384?\nAnswer: 32319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -445 - -406. Let p be -1 + 41*(-2)\/(-2). Let m = v + p. What is m rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(405) + -3*(sqrt(405) + 1))*2)**2.\nAnswer: 6912*sqrt(5) + 104256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(156)\/(sqrt(72)\/sqrt(6)) + -1))**2.\nAnswer: -50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c**3 + c**2 + 51*c + 107. Let f be b(-21). What is the greatest common divisor of f and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by -10876?\nAnswer: -1\/10876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(170) + ((-2*sqrt(170) + sqrt(170))*-6 - sqrt(170)))\/(sqrt(10) - 2*sqrt(810)).\nAnswer: -6*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 177 + 23 = 0. Let w = j - -40. Solve 5*x - 7 - 8 = w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:43 AM and 3:33 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -44 + 71. Calculate the remainder when x is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (31\/(-155))\/((-6)\/(-10))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 126 = 4*y, -3*y + 8*y = -4*x + 165. Suppose y - 37 = -2*d. What is the derivative of -31 + 32 + 23 - 32*r**d wrt r?\nAnswer: -128*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/101745 and -1\/27474.\nAnswer: 49041090","meta":{"dup_signals":{},"source":"numbers__lcm_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: Calculate 749775417 - 0.2.\nAnswer: 749775416.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 y and 1 m when four letters picked without replacement from mcmycmmyycy.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the first derivative of -q**8\/560 - q**5\/120 + 2*q**3\/3 + 2. Let p(h) be the third derivative of r(h). What is the second derivative of p(s) wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 29412690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2 - 26596?\nAnswer: -26594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 66 and 1012.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 504535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**2 - 2*y + 4. Suppose -4*o + 14 = -t, 5*o - 2*t + t - 18 = 0. Does 9 divide q(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 1 i, and 1 b when three letters picked without replacement from {m: 6, i: 1, o: 3, y: 4, b: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -484 - 143. Let z = 1255 + m. Let d = z - 405. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/190)\/((-52611)\/13490*(-4)\/78)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -b + 1c9c?\nAnswer: 1c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14 - 23 + 5*o + 15 to the form l*o + w and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1432187 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 3*r + 7. Let f(z) = -z - 1. Let i(a) = -5*a - 29. Let c be i(-6). Determine c*m(u) + 6*f(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = 110 - 72. Suppose -g = -o + j + 4*j, j = 1. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 6*d**2 + 3*d. Let i be c(3). Suppose 0*g = -3*g - i. Is (-87965)\/(-35) - (-6)\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhhcchhhvvccchhhcc. Give prob of picking 2 h.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n*n*n**(-2)*n*n*n)\/n*n*n)\/n**(-3)*(n**(-4)*n*n)\/(n\/(n\/n**(2\/9))) assuming n is positive.\nAnswer: n**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -156 = 5*p - 36. Let d be (2\/(-6))\/(3\/(-225)). Let i = p + d. Let z(s) = -s - 6. Let k(o) = -1. Give i*z(c) - 3*k(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -46, -16, 1, 2267, -1 in decreasing order.\nAnswer: 2267, 1, -1, -6, -16, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -44 = 227*j - 210*j - 333 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 72 + -31. Suppose -7*n + 16 = 2. Suppose -2*i - u + 25 = 0, n*i - 3*u = 2*u + 43. Calculate the remainder when v is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 - 1 - (-3 + 2). Let m(d) = 1. Let o(p) = 17831 + p - 17828 - 3*p. Determine n*o(j) + m(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sum -259566940722 and 1075.\nAnswer: -259566939647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*h**3 + 20*h**3 - 52*h**3.\nAnswer: -58*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = 5*a + 5*s, 3*s - 8 = 4*a - 3*a. Suppose 0 = 5*y - 5*l - 11 - a, -2*y + l + 6 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -7*u**2 - u - 4. Let x(q) = 8*q**2 + 2*q + 5. What is -5*s(a) - 4*x(a)?\nAnswer: 3*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1\/8*v**2 - 1\/4 - 3\/8*v = 0. Calculate v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 624, 1226, 1818, 2400, 2972?\n\"Answer: -5*c**2 + 617*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand r**5 - 2*r**5 + 0*r**5 + (0*r + 2*r + 0*r)*(0*r**4 + r**4 - 3*r**4) - 21*r**5 + 9*r**5 + 7*r**5.\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that -3*b**5 + 114*b**4 - 441*b**3 - 10770*b**2 + 74100*b - 63000 = 0.\nAnswer: -10, 1, 7, 10, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-306)\/(-24) + 4)*(-2)\/31 and 63\/10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (9 - -3)*(-3)\/(27\/(-3)). Suppose -5*p - 4*l = -12, m*p + 2*l - 8 = -2*l. Solve 4*o = 3*r - 11, -2*r + 1 = -5*o - p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 528616511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0 - (-5 - -1 - 413). Let s = -89 + x. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*d**2\/9 + 5608*d\/9 + 51392.\nAnswer: 4*(d + 88)*(d + 1314)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1302638?\nAnswer: 2, 347, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11.9487 - -0.0513. Which is the third biggest value? (a) 0.5 (b) 0.4 (c) k (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 2443*o**2 - 4*o + 4. Let m(q) = 141696*q**2 - 234*q + 234. Calculate -2*m(h) + 117*p(h).\nAnswer: 2439*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2204 + -2263 - (-106 + 1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 189016533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1\/154 - -13\/154. Let c = 2 + -1.9. Let k = c + 0.4. What is the second smallest value in 0.2, k, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(2*(sqrt(84) + 2*sqrt(84))\/sqrt(12) - (sqrt(567) - (sqrt(567) + 1*sqrt(567)))*2) + -3)**2.\nAnswer: 576*sqrt(7) + 64521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes after 9:41 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 13\/6? (a) -1 (b) 2 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 38*k - 8. Let p be n(2). Let o = p - 66. Let t(f) = 14*f + 8 - 7*f**o - 22*f - f**3 + 10*f. Give t(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes after 2:40 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2469 - 1583. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53.32984 litres in millilitres?\nAnswer: 53329.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -16*u - 13. Suppose 43*a = 45*a + 16. Let c be l(a). Let z(v) = 6*v**2 - 2*v - 2. Let j be z(3). What is the greatest common factor of j and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (33 - 34)*2\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -660 - -0.05.\nAnswer: -659.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -48*g**3 + 42*g**2 - 4287*g - 4. Let s(i) = 97*i**3 - 82*i**2 + 8571*i + 7. Let a(t) = 7*j(t) + 4*s(t). What is the second derivative of a(y) wrt y?\nAnswer: 312*y - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -11250652+-4.2159\nAnswer: -11250656.2159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 73429 and 757.\nAnswer: 73429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000010298292 rounded to 7 decimal places?\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 2*s - 18 = 0, s = -4*k - k + 135. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes after 9:32 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + (2 + -1 - 2) + -5 + 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 108 or 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 2*r = -12. Suppose m + 4*m = 2*d + 23, 0 = -2*d - r*m + 17. Let b be -4 + 157*-121 + d. Round b to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -7*l**2 + 7*l - 110. Let s(q) = 4*q**2 - 4*q + 55. Give -3*d(h) - 5*s(h).\nAnswer: h**2 - h + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 3*r = 5*g - 1, 4*r - 20 = 0. Suppose 8 = u + g. Suppose -i = 3 - u. What is the nearest to i in 9, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from ugieeueuuppiiceupeii.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 337 - 337.2. Which is the closest to i? (a) 76 (b) 3\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 94549092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*y - 2*y - y)*(11583 - 304*y**2 - 11583).\nAnswer: -608*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 70, 278, 624, 1108, 1730, 2490?\n\"Answer: 69*a**2 + a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*z + 0*z - 2*z)*(-2 - 1 + 1) + 5*z + 2*z - 8*z + 3.\nAnswer: -5*z + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*t**4\/2 + 55*t**3 - 250*t**2 + 260*t.\nAnswer: 5*t*(t - 2)**2*(t + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 494657.\nAnswer: 71, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 2*o + 10 + 9 - 16. Give z(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w**2 - 5. Let g(o) = o**2 - 6. Let r = -7 - -3. Let x be 1\/(((-2)\/r)\/1). Suppose -3*s - 4*i - 18 = -s, 5*s - x*i + 21 = 0. Calculate s*g(k) + 6*m(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**2 - 6*p. Let v be y(7). Let u(n) = n**2 + v - 3*n**2 + n**2. What are the prime factors of u(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = -5*p + 5, 4 = q + 3. What is the closest to -1\/2 in 2\/7, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -6.98 times -0.01\nAnswer: 0.0698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*l - 562 = -1769. Calculate the remainder when l is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 13 + -6. Let q be (4\/5)\/((-8)\/120). What is the units digit of (q\/n)\/((-1)\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -126, -112, -98, -84, -70?\n\"Answer: 14*c - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(2904) + sqrt(2904) - sqrt(24))\/(sqrt(24)\/(-1*sqrt(8))) + (sqrt(96)\/sqrt(16))\/(-2*sqrt(27)).\nAnswer: -385*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -14 (b) 0.02 (c) -2\/3 (d) 0.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2401 - 13*h**3 - h**4 + 1372*h - 98*h**2 - 196*h**2 + 41*h**3.\nAnswer: -(h - 7)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 36980 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g be 7*((-2)\/(-7))\/1. Let h be -2 + (-10 + 1 - g). Suppose -11*k = -4*l - 16*k + 11, 0 = -3*l + k - 6. Sort l, 5, -3, h.\nAnswer: h, -3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -683 - -685. What is the third biggest value in z, 0.5, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*j**5 - 13970*j**3 - 163*j**2 - 251117400*j.\nAnswer: -60*j**3 - 83820*j - 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((sqrt(450)*1 - sqrt(50)) + 1*(sqrt(200) + sqrt(50)))**2.\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the second derivative of 1437*f**5\/20 - 5*f**4\/12 + 13*f**2 + 2773*f. Find the third derivative of v(a) wrt a.\nAnswer: 8622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -k**3 + 82370*k**2 - 126960*k**2 + 44590*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-116)\/(-16) - (-3)\/4. Let y(k) = -q*k**2 + 2*k + 10*k**2 - 3*k. Let z be y(-3). What is the highest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, b: 2, g: 1, q: 4, k: 1, x: 3}. Give prob of picking 1 p and 1 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + (4 - (2 + -6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the first derivative of -61*u**3\/3 - 5*u - 1440. Let g(m) = -31*m**2 - 3. What is 5*g(f) - 3*i(f)?\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -13613 greater than or equal to -13528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 2*i**2 - 1. Let r be c(1). Suppose -5*b = 0, 0 = -o - 2*b + 4 + r. Solve -3*k - 21 = 2*h - 6, -o*k = -h + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1939*c = -2*t + 1935*c + 30, 2*t + c + 3 - 21 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14899 is divided by 1485?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -104234043 (base 6) in base 2?\nAnswer: -111001100100101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w**2 - 3*w + 9. Let g(f) = -21*f + 165. Let b(q) = 8*q - 62. Let y(s) = 8*b(s) + 3*g(s). What is -o(d) - 5*y(d)?\nAnswer: d**2 - 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 12 - 3. Let i(d) = 159*d**2 + 2*d + 4. Is i(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*7\/((-1127)\/(-3)))\/((-5)\/(1225\/(-210)))?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**2 - 7*d + 8. Let h = 12 + -6. Suppose -p + 15 = 12. What is the remainder when p is divided by s(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -109472735 or -109472736?\nAnswer: -109472735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 6 = -4. Suppose 2*o = -u*l - l + 22, -8 = 2*l. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + -47 + 45 + 2 + -3 + 32\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 1281*g + 5920 = 1006*g - 955 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y + 0*y - 6*y)*(-73*y**3 - 7791*y**2 + 7791*y**2).\nAnswer: 584*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 - 1 - -2)\/4. Suppose 0 = -5*u - n - 5, -n + 6*n = 25. Sort u, g, 3 in ascending order.\nAnswer: u, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of -u**6\/160 - 13*u**5\/20 - 143*u**4\/32 + 49*u**3\/2 - 36*u**2 - 54*u + 1. Determine q so that l(q) = 0.\nAnswer: -49, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b - 5*b + 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41 = r - 95. What is the greatest common factor of 45 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (-4 - (2 - 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 32710*g - 2. Let b(m) = 6*m. Give o(b(h)).\nAnswer: 196260*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11 - -18. Round j to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 14*v + 850. Let z be f(-57). Let b be 16\/3 + 2\/3. Suppose -20 = -b*l + z. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.0065 (b) -7\/23960 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(119)*6 - sqrt(119))\/((sqrt(35)*-1)\/sqrt(5)).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 127 - 3880*a**2 - 391 + 132 + 132.\nAnswer: -3880*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: ((-14)\/(-2))\/((159\/(-212))\/(3\/4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be 27\/6 + 2\/(-4). Suppose -45 = b*f - 165. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 92.3468913 rounded to one decimal place?\nAnswer: 92.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 200762819 by -200762819.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -0.5 (b) 1\/4 (c) 146 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 6169 = 4*t, -7*p + 2*p = t - 1548. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = -o + 68, -3*o - 3*b = -4*o + 64. What is the remainder when o is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.63 + 0.13. Which is the nearest to -0.1? (a) -2\/5 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -183.64 + 183.6305322. Round w to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 597 (b) 1\/3 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -5 + 14 - (-3 + (4 - 13) - -102)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*k - 768 = 131 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 11 + 6102?\nAnswer: 6113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 20154887?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 - 6*p**2 + 17*p + 13. Let d be q(-8). Suppose -3*j - z = 2*z - 24, -d*z = -j - 10. Sort -2, 32, j in descending order.\nAnswer: 32, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 3, -16, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 195 and 28230?\nAnswer: 366990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-20)\/30 - (-8)\/3. What is the first derivative of 5*b - 32*b + b**2 - 2*b**s - 68 - 18 wrt b?\nAnswer: -2*b - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:06 PM and 6:19 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -2*m + 1. Let c(b) = 2*b - 1. Let v = 1 + 2. Calculate v*c(z) + 4*d(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -1 <= -737\/1622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i = -i + o - 26, -5*o - 26 = -i. Suppose 16 - i = 5*n. Suppose 2*k = -n*k. Solve 3*f + 22 - 7 = k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence grg when three letters picked without replacement from {r: 1, p: 3, g: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4.6 - -13.4. Let v = 13 - u. Let t = v - -10. Does t = 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2077 + -2164.1. What is h rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1501879 is divided by 500621?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 2*m**3 + 3*m**2 + 17*m - 3. Let n(p) = -3*p**3 - 4*p**2 - 18*p + 4. Give 4*d(q) + 3*n(q).\nAnswer: -q**3 + 14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 4, e: 1, l: 3}. What is prob of sequence bell?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor w**2\/2 - 11647*w\/2.\nAnswer: w*(w - 11647)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15271 is divided by 196?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1a5ba3 (base 12) in base 6?\nAnswer: -13555523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 21*d**3 - 11*d**2 - 3*d - 3. Let t(a) = -42*a**3 + 23*a**2 + 7*a + 7. Let v(r) = 7*m(r) + 3*t(r). What is the third derivative of v(n) wrt n?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11212110023 (base 4) in base 5?\nAnswer: 333431114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 363 - 348. Suppose 0*b = -4*b - 48. Let u = -9 - b. Solve -10 = -4*i - u*r - 3, 0 = 5*i + 5*r - l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 122558, 490288, 1103188, 1961258, 3064498?\n\"Answer: 122585*x**2 - 25*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -4*i, 4*c + 2*i - 362 = i. What is the remainder when c is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 65\/167324 and -11\/14889.\nAnswer: 3513804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**2 - 9*k - 1. What is q(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i when three letters picked without replacement from xixsiijxixi?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 6835929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 31606739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 7738075 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -24 + 23. Let z be ((0\/3)\/(-2))\/q. Solve z = -k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the second derivative of -6*o**5\/5 + o**4\/12 - 74*o**2 + 335*o. Differentiate w(p) wrt p.\nAnswer: -72*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 342*k - 5252 - 10472 + 1564 = -838*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -n**3*u + 2*n**3 - 1176*n**2*u + 82*n**2 - 74*n*u + 116*u + 113 wrt n?\nAnswer: -6*n*u + 12*n - 2352*u + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/21 of a week in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21\/(-9) - (24600\/72)\/(-41).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -235\/1098 + -1\/122. Let u = 64 - 61. Sort u, -5, h.\nAnswer: -5, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.026344 and -1?\nAnswer: 0.026344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -13*r + 3. Let p(z) = -7*z + 2. Let m(o) = -3*b(o) + 5*p(o). Let u(g) = g. Calculate -m(t) + 3*u(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 203 minutes after 6:29 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -61, -2\/7, -0.4, 0.1635, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1 and 256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 - 10002?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qavovvdv. What is prob of sequence ovqv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(3\/11)\/h**(-1\/8))\/(h**(-1\/9)\/h*(h**(2\/13)\/h)\/h*h))\/(h**(-4)*h**(1\/4)*(h\/(h\/(h\/(h**1*h)))*h)**42) assuming h is positive.\nAnswer: h**(62857\/10296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03324051 rounded to 5 dps?\nAnswer: 0.03324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 0.81, -1\/4, 4 in ascending order.\nAnswer: -1\/4, 0.81, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**3 + 146*u**2 + 1733*u - 62. Calculate y(-133).\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -10*c**3 + 2*c**2 - 9*c - 9. Let g be (936\/(-3))\/(-24) - (4 + 0). Let y(p) = 5*p**3 - p**2 + 4*p + 4. Determine g*y(j) + 4*u(j).\nAnswer: 5*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-18))\/(41\/75276*-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1737816\/86520 - -2*((-4)\/10 - 0). Find c such that 3\/7*c**3 - 48\/7*c**2 + p*c + 486\/7 = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 174 - 639 = 0. Calculate the remainder when 90 is divided by n\/(-2)*26\/(-39).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, 2, -4, 31, 0.697, -0.39.\nAnswer: -4, -0.39, 0.697, 2, 16, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -84, 2, 4 in decreasing order.\nAnswer: 5, 4, 2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w - 2*w - 4 + 11. Let a be p(5). Let q(m) = m**2 + 3*m + 2. Let s be q(-2). Sort s, -5, a in decreasing order.\nAnswer: a, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (9\/(-12))\/(1\/(-4)). Suppose -5*m - 4*k + 8*k - 1 = 0, m + w = -2*k. Let d = -379.6 + 380. What is the biggest value in m, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.723 - -0.755. Let j = 44\/5 - 26\/3. What is the third biggest value in p, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from notnoodcddk. Give prob of sequence dndo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 5*g - 12 = 8, -m + 4*g - 16 = 0. Suppose m = 2*t - 0*t - 8. Let z = -107\/399 - 1\/57. Which is the closest to z? (a) 2\/15 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 3*n + 10. Let u be t(-6). Is 3 + 6*u\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 36931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be (0\/(31\/(-8) - (-16)\/(-128)))\/(-2). Let t(m) = -m**3 - m**2 - m - 7. Determine t(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -617 - -1141. Is 524 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-5 + (-182)\/(-39))*(0 - 9). Let l(c) = 6*c**2 + 3*c + 3. Let b be l(3). Suppose t + f = b. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000001279 to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 - -4. Suppose 4*r = 3*x, -q*x + 2*r = 3*r - 23. Solve j = 3*j + x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = c - 7, -10 = -5*w + 10. Suppose f - 6*f + 4*m = -8, -5*m = 3*f + 10. Let z be (f - (1 - 3)) + -6. Put 4, c, z in increasing order.\nAnswer: z, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 845.7592 micrometers in kilometers?\nAnswer: 0.0000008457592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-6477 + 6483)*(-1 + 8\/(-3))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eqqqqwqqwqqwqqq. Give prob of picking 3 q.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2\/4)\/(1\/4). Let a(r) = -4*r + m - 1 - 2 - r. Let w be ((-1)\/2)\/((-3)\/(-12)). Give a(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 42 - 167\/4. Suppose 2*k - 20 = -3*k. Let u = 0.29 - 0.09. Put k, u, n in ascending order.\nAnswer: u, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 17186.67254 and -102.1.\nAnswer: 17084.57254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v**2 + 6*v - 2. Let n = -4 + -1. Let j be 3\/(n - (3 - 9)). What is b(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {m: 5, p: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 23 = l + 5*d, -2*l + 18 = 2*d + d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-2\/19)*a**(-2\/5)\/a)\/(a**6\/(a*a**6*a)))\/(a**(-5)*((a\/a**(-6))\/a)\/a*(a**(-1\/2))**(-18)) assuming a is positive.\nAnswer: a**(-808\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2544?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 + 2 - 6)*(-1 + 0 - 2) + 11 - 55 - 19)*(3 - 2*x - 2 + 0*x).\nAnswer: 120*x - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2 times 0.010313?\nAnswer: 0.020626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -261 - -566. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:11 AM and 7:06 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 2*y**3 + 8*y**2 + 13*y + 77. Let q be v(-4). Solve -19 = 6*o - q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 287806 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -1543303 (base 8) to base 10.\nAnswer: -444099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -5702938 by -1.\nAnswer: 5702938","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Subtract -0.08 from -246.\nAnswer: -245.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 2*p**4 - 5184*p**3 + 2242206*p**2 - 266784328*p - 269031720 = 0. What is p?\nAnswer: -1, 254, 2085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the first derivative of b + 2*b**4 + 0 - b**4 - 1 - b**2. Calculate i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.2? (a) 4153 (b) 3 (c) 0.08 (d) 0 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11356 is divided by 7787.\nAnswer: 3569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 39865, -2, -0.3, 2, 0.3, -0.2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 69 or 1225?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53357 - 334138 = -47*n + 19079. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -7*w - 375. Give q(-15).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*i**3 + 107*i + 5*i**3 + 23*i - 130*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -16.428 - 1.572. Let i be (-8)\/(-6)*(-42)\/(-308). What is the nearest to -0.1 in i, 2, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13944 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the third derivative of -7*c**5\/60 + c**4\/12 - c**3\/6 + c**2. Let d be (-8)\/(-12)*6\/4. Let v = d - 0. Give g(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 6 + 2019.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 4) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1477 is divided by 187.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m**3 + 4*m**3 - 4*m**3)*(2*m**2 + 0*m**2 - 4*m**2) - m - 170*m**5 + 402*m**5 - 155*m**5.\nAnswer: 79*m**5 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41085?\nAnswer: 3, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 20786.553 to the nearest ten.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 - 28 = -5*h. Suppose -h*a - 1886 = -5*b, a + 350 = -2*b + 1111. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*u**2 + 2 - 2 as b + n*u + d*u**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 3127*u**2 - 40*u - 44. Let o be i(10). Let w(f) = -o - f + 312256. Suppose -2*s = 2*j - j + 6, -2*s + 6 = -j. Let a(k) = 7*k - 3. Give j*w(x) - a(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 75250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 324463110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 + 3\/9)\/(9\/(-135)). Suppose 3*x + 4*k = -3 - 5, -v = -5*x - 2*k. Let q(g) = 6*g - 9*g - 3*g + x*g. Let l(j) = 2*j. What is q(l(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1706 and 10?\nAnswer: 8530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1 - 3817?\nAnswer: -3816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -31167, -124315, -279443, -496551, -775639?\nAnswer: -1116707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/(-3) - (-3)\/(-9). Suppose -5*m - 110 + 615 = i. Let u(q) = 262*q - 1022. Calculate the remainder when m is divided by u(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 71*t**3 - 67*t**3 - 60*t**3 + (0*t**2 - 4*t**2 + 3*t**2)*(0 + 0 + t) + 2*t**3 - 3*t**3 + 0*t**3.\nAnswer: -58*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 5*d + 347 = 8*b, 5*d = 2*b - 181. Let o be 4\/(-2)*2 + b. Factor 36*z - 4*z**2 + 111 - 1006 + o*z - 5.\nAnswer: -4*(z - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -11*b - 15. Let y(u) = -5*u - 7. Let w(v) = 6*t(v) - 13*y(v). What is w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 29*y**3 + 55*y**2 - 45*y - 95. Calculate z(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes after 12:50 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 4*y = -y + 22, 0 = b + 4*y + 13. What is the least common multiple of 5 + 4 - b\/(-3) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the first derivative of 17621*r**3\/3 - 21*r**2 - 4*r - 49. Let q be m(-4). What is q rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 11*t. Let c(d) = -3*d**2 + 4*d. Let k(i) = i**2 + 6*i - 16. Let a be k(-7). Let u(p) = 7*p**2 - 9*p. Let x(r) = a*c(r) - 4*u(r). Determine l(x(o)).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 274 minutes after 8:40 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dzzzabzzzadtazazz. What is prob of picking 3 a and 1 t?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7 + -12. Put s, 5, 4 in decreasing order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*b + 2 = 2*b - 2*s, -4*s = -3*b - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 210919 divided by -4.\nAnswer: -210919\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21 + (-38 - -38) - -22.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 104 + 10*i - 28*i + 13*i + 7*i as s*i + n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1496922833 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 15 = 3*x, 5*c - 2*x = 567. What is the greatest common factor of c and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/8*-2)\/((-18)\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 0.057, -0.4, -0.2, -0.6, 5 in increasing order.\nAnswer: -0.6, -0.4, -0.2, 0.057, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 136967 is divided by 11811?\nAnswer: 7046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k - 6. Let x be g(-8). Suppose 11 = -3*c + 4*q, -c = q + x*q + 8. Let u = 214 + c. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 57 - 58. What are the prime factors of (j + 3)*1 + -2 + 330?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.016 and -7.65?\nAnswer: -0.1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -59406778*0.5\nAnswer: -29703389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**4 - 15*o**3 + 82*o**2 - 125*o + 7. Let l(u) = u**2 + 1. Let y(q) = 28*l(q) - 4*v(q). Solve y(t) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -215*u + 308 + 552 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 134696 is divided by 33674.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 14778*j**3 + 14*j**2 + 1091486*j wrt j.\nAnswer: 88668*j + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffggxxfxggfxggx. What is prob of picking 1 x, 1 g, and 1 f?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) -4 (c) 2 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/6 or 992?\nAnswer: 992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 7c7379 - -4?\nAnswer: 7c7380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2287*s + 2291*s - 90416 = -4*q, -113041 = -5*q + 2*s. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -586*u + 142361. Give w(243).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0\/(-33)*1\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 137999268.\nAnswer: 2, 3, 11, 17, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 18, -14, 1, -2\/7, -0.02 in descending order.\nAnswer: 18, 1, -0.02, -2\/7, -0.4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11.01 + -11. What is the nearest to 1 in 0.5, i, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -5*j + 2. Let t(y) = 6*y - 2. Let k(z) = 5*p(z) + 4*t(z). Give k(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1362 - -1362.5444. Round p to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -23 - -13. Let g = v + 8. Let x be 21\/g*(-9 + 7). What is the greatest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29719256.\nAnswer: 2, 7, 530701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7887964 to the nearest integer?\nAnswer: 2809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be (70000\/(-21))\/((-3)\/162). What is u rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the third derivative of m**6\/120 + 2*m**5\/15 - 11*m**4\/24 - 13*m**3\/6 - 5*m**2. What is the smallest common multiple of 3 and y(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-82307)\/(-60)*(-80)\/(-30) + 2. Let t = d - 3661. Find the common denominator of t and -7\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the first derivative of -11*d + 0*d**4 + 2\/3*d**3 + 9*d**5 + 0*d**2 - 59. Find the third derivative of v(u) wrt u.\nAnswer: 1080*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + -1.1. Let a = 370 + -365. What is the nearest to n in -5, 1\/5, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3209252*v**4 + 8042997*v wrt v.\nAnswer: 38511024*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put together -10814664 and -3630840.\nAnswer: -14445504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h - n - 10 - 2, -h - n = 6. Let g be h + 0 + 16\/(-14) - -4. Which is the biggest value? (a) g (b) -4 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6 - -131. Let y = q + -122. Solve 5*l - 2 = y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -6 - 9 - 6 - 1 - 4*d. Let i be b(-7). What is the third derivative of 9*f**2 + 3*f**i + 0*f**6 - 13*f**6 wrt f?\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -5*w**2 + 7*w. Let n(k) = -k**2 - 3*k + k + 2*k**2 + k. Determine 2*a(d) + 14*n(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 q and 1 s when four letters picked without replacement from {s: 7, q: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -53038.3000072 - -53038. Let s = 0.3 + y. Round s to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -34 - -42. Does 19 divide (570\/h)\/(5\/(40\/3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l\/l**1*l**13\/l)**(-3) assuming l is positive.\nAnswer: l**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -9 - (14 + -13 + -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*a - 14*a = -23. Let n(d) = -d + 9. Let x be n(6). Let p(b) = -2*b**3 + 2*b**2 + 2*b - 4*b**2 - x*b. Determine p(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 119*p - 63. Does 35 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from esowwwswewaw. What is prob of picking 2 s and 1 e?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 23*j**2 - 2*j + 7. Let o be d(1). Solve r + o = 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**3 - 78*q**2 - 1436*q + 27456.\nAnswer: 2*(q - 48)*(q - 13)*(q + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 251602*n - 251597*n - 4*b = -2, -2*n - b = 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 407 is divided by 136.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by 8635\nAnswer: 1\/1727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 7 - 2*p - 4*p**2 + 6*p**2 + 1 - p**2. Let z be ((-10)\/(-18) - (4 - 3))\/(24\/(-108)). Let w(t) = 6*t**2 - 11*t + 41. What is z*w(s) - 11*i(s)?\nAnswer: s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 10) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-one halves of a century in years?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -1262261*u**3 + 5044*u**2 - 5044*u + 15132. Let p(w) = -1251*w**3 + 5*w**2 - 5*w + 15. Calculate -5044*p(f) + 5*t(f).\nAnswer: -1261*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -0.04+-247\nAnswer: -247.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + 2*z + 1 - 6, -10 = -5*z. Suppose d - 2 = k. Differentiate 2*s**d + 1 - 1 + 3 with respect to s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**3 - 23*z**2 - z - 19. Let m be b(-23). List the prime factors of (-4 - (-5 - m))*51.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.959, -426, 2\/13?\nAnswer: -426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 153 in -2\/7, 2, 138.7?\nAnswer: 138.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 20 = -0*f. Suppose 4*r - 3*t + 2 = f, -3*r - 4*t + 31 = 0. Suppose r*g = -3*q + 79, q - 2*g - 8 = -0*g. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5.02 - 0.02. Let z = 5.3 - y. Let v(p) = -3*p**2 - 3*p - 2. Let i be v(-1). Sort z, i, -2\/3.\nAnswer: i, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + -11 + 12 + (1 + -11 - (-3 - -13))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 3*u**2. Let b(d) be the second derivative of d**3\/3 + 2*d. Let l(f) = -4*f. Let j(m) = 11*b(m) + 6*l(m). What is j(t(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.029 in 2\/7, 5, -5\/2, 1, -4\/3, 45.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -47\/7412 and -37\/8.\nAnswer: 14824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 8:01 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8288400 is divided by 21090?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -2*s**5 - s**5 + 2*s**5 - s. Let v(w) = -4*w**5 + w**2 - 5*w. Let t(c) = -5*b(c) + v(c). What is the third derivative of t(z) wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -20619 - -247279\/12. Suppose 4*v + 2*f - 8 = 0, f = -5*v - 2*f + 12. What is the common denominator of r and 0 + (v - 110\/16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 494 is divided by 316.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q - 1 = -2*j - 8, -5*j + 5*q = -5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(1900) + (sqrt(1900) + 1)*-2) + -5)**2.\nAnswer: 500*sqrt(19) + 47525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -277457 or 3.3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 8, 2*i + 1315494 = 4*i + 4*y. Suppose -3382261 = 4*s + i. What is s rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide (-9)\/(-7) + -1 + (-6350120)\/(-980)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) - sqrt(12)*-5 - (3 + -1 + sqrt(3)))**2.\nAnswer: -40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.4 - 0. Let f = 6 - 7. Let x = -4.1 + 6.1. What is the closest to f in 1\/4, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 618671777 to the power of 1\/2, to the nearest integer?\nAnswer: 24873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 3 - (2 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 328 divided by -35?\nAnswer: -328\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 717 - 696 - 59*b**3 + 19*b**3 wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12\/25 - -1058\/225. Is a less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the third derivative of -f**6\/120 + f**5\/6 + f**4\/12 + 5*f**3\/3 + 13*f**2. Let i be r(7). Calculate the greatest common divisor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-44)\/33)\/((-12)\/(-45))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*-1556.\nAnswer: 622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2506*r**3 - 958647*r**2 + 20 - 20 + 958647*r**2.\nAnswer: -2506*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4233 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be 6\/33 - 554\/22. Let u = -22 - f. Suppose -13 = -u*x - 10. Put -1, x, 4 in descending order.\nAnswer: 4, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 92137067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (8\/(-10))\/(6\/(-180))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -220.57 plus 19?\nAnswer: -201.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 136*h**3 + 155879*h**2 - 10 - 155879*h**2.\nAnswer: -136*h**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 - -1. Let k(j) = j. Let z be k(h). Suppose 0 = p - z*p - 2*w + 12, 3*w + 9 = 0. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 1034826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 127 + -43. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -28*o + 8. Does 8 divide w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/(-40)*5\/(-7)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 7) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 4*f - 39, f + 10 - 41 = -2*h. Solve -3*c - 5*n - 14 = 0, 6*c + h = c - 2*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/o**(-28))\/o)\/o**(-42) assuming o is positive.\nAnswer: o**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 26*i - 13. Let p(w) = 13*w - 6. Suppose -4*a = -2*q - 40 + 14, 3*a + 52 = -4*q. Give q*p(h) + 6*t(h).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-610)\/(-732) - 595\/30. Let s be 2\/(-3) + 5\/3. Sort s, 0, 2, n.\nAnswer: n, 0, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 113, 466, 1087, 2006, 3253?\n\"Answer: 5*b**3 + 104*b**2 + 6*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -2402*h**2 - 3*h - 3. Let m(j) = -21595*j**2 - 28*j - 28. What is 3*m(k) - 28*s(k)?\nAnswer: 2471*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 880952738 to the power of 1\/2, to the nearest integer?\nAnswer: 29681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -19.2823199 to one decimal place.\nAnswer: -19.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 4*y. Let h(u) = 2*u**2 + 414. Calculate t(h(v)).\nAnswer: 8*v**2 + 1656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 + -1. Let r = -4.92 + -0.08. Let f = -4.06 - -3.06. What is the nearest to g in r, 3\/5, f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -54720, -219575, -494334, -878997, -1373564, -1978035?\nAnswer: -2692410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 14, h: 4}. What is prob of picking 3 h?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:19 PM and 2:00 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((sqrt(19)*1 + 4)*1)**2 + (-2*sqrt(171))\/sqrt(9) + 2.\nAnswer: 6*sqrt(19) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -1071330*y**2 - 24395*y - 3485. Let a(g) = 615*g**2 + 14*g + 2. Calculate 10455*a(v) + 6*b(v).\nAnswer: 1845*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3752 and 560.\nAnswer: 37520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 4, j: 1, n: 4, m: 5, s: 1}. Give prob of sequence mj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**2 - 33*j - 231. Let s be w(-10). Which is the closest to s? (a) 2\/9 (b) 0.42 (c) 0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2080*p = 1980*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -316.9338 - 0.0662. Let c = -143.5 - r. Round c to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2246 by 60795.\nAnswer: 2246\/60795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3 - -1 - 0) + 818. Suppose 0*l + d = 4*l. List the prime factors of l.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1, 7, 19, 35, 55?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 128, 163, 222, 305, 412, 543?\n\"Answer: 12*v**2 - v + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2847069*0.09.\nAnswer: -256236.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -13*k**4 - 13*k + 13*k + (0*k**3 + 2*k**3 - 4*k**3)*(2*k - 6*k + 3*k) as i*k + u + l*k**4 + g*k**2 + w*k**3 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (x - 2*x + 5*x)*(-2*x - x + 2*x - 7*x + 2*x + 3*x + (2*x - 3*x + 2*x)*(2 + 0 + 1) + 2*x - 3 + 3).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19 + -24. Let f = -2 - k. Suppose f*l + 9 = 0, t - 4*l = 18 + 36. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 3\/2 (b) -3 (c) 0.093 (d) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:27 AM and 11:11 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -116, -253, -440, -659, -892, -1121, -1328?\n\"Answer: 3*i**3 - 43*i**2 - 29*i - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1624 - 14588\/9. What is the common denominator of n and 5\/(220\/(-128)) + 0?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*(3*(sqrt(110) - (2*sqrt(110) + sqrt(110))) - sqrt(110) - sqrt(110)))\/(sqrt(20)\/(3*-1*sqrt(2))))**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14\/(-5))\/(19\/(95\/(-2))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyyjjyj. What is prob of sequence jjyy?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2*t + 25. Let x = 526 - 518. Let m(k) = 0*k + 7*k - 10*k + x*k. Calculate m(y(o)).\nAnswer: 10*o + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*g + 4763 - 1361 = 0. Let p be (4\/(-6))\/((-333)\/g). Are p and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the first derivative of 136*b**3 + 6*b**2 + 2*b + 146. Is a(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 71054 is divided by 168.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 6904838071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2748)\/(-60) - (-6)\/5. Let a = o + 41. What is the remainder when a is divided by 7 + -5 + 7*4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 136 + -5651104?\nAnswer: -5650635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 248904 is divided by 59840.\nAnswer: 9544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**2 - 14*i + 4. Let x be c(14). Let z = x + -2. Let 2\/5 + 1\/5*r**3 - 1\/5*r - 2\/5*r**z = 0. What is r?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d**(-6\/5)*d)*d\/((d*d**(8\/7)\/d)\/d*d))\/((d*d**(2\/3))\/d)**(-34) assuming d is positive.\nAnswer: d**(2491\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (9\/(-12))\/((-225)\/800*60)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 6, 24 in decreasing order.\nAnswer: 24, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:16 PM and 12:44 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -9898 divided by -3\nAnswer: 9898\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 118127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -254 (base 11) in base 7?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 7*n - 26. Calculate i(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.76 + 0.66. Let n be (-3 - -1)\/(-6 + -1). Let q = -517\/7 - -74. What is the second biggest value in q, i, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17023 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-16))\/(-1) - 4\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 386905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2*3\/12*-38. Calculate the highest common divisor of k and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*r = -50*r + 60. Suppose -76 - 58 = -2*z. What is the remainder when z is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) 9\/4 (b) -2 (c) 5 (d) -10 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {n: 4, g: 3, e: 2, v: 2, c: 3, w: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 2*i**4 - 9763*i**3 + 11774208*i**2 + 343402945*i + 168756700 = 0. Calculate i.\nAnswer: -28, -1\/2, 2455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + p = -9, -a = -2*a + p + 7. Let z = a + 22. Suppose 3*t = 6*t - z. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 103*l - l**3 + 98*l + 101*l - 298*l + 8*l**2 + 6. Suppose 0*w + 14 = 2*w. Is u(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000290111489 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -4630*h + 101857. Calculate t(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Total of -17865412 and -10383.1.\nAnswer: -17875795.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -1473 (base 13) to base 6.\nAnswer: -21423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 3*o**3 - 9*o**2 - 5*o + 1. Let t be q(5). Suppose 68 = -2*x + x. Let h = x + t. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 200\/90 - 12\/54?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(2)*-2 + 5 - sqrt(32)\/sqrt(4)) + sqrt(2) + (sqrt(14)\/sqrt(7)*-6 - sqrt(2)) + sqrt(98) + -2)**2.\nAnswer: -18*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the third derivative of 1\/240*j**6 + 1\/360*j**5 + 0*j**3 + 0 + 0*j + 1\/2016*j**8 + 0*j**4 - 10*j**2 + 1\/420*j**7. Factor c(g).\nAnswer: g**2*(g + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 6 - 3*q**2 - 14 + 3*q + 2*q**2. Let u be j(8). What is u rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11.7 + -9.54. Let h = -0.26 + d. Let p = h - -2.1. What is the third smallest value in -7, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12936 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ruujl. What is prob of picking 2 u and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 37321, 74641, 111961, 149281, 186601, 223921?\n\"Answer: 37320*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -4, -1, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 7 + 2 = 0. Suppose -l = -k*l + 22. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15924*s - 31424*s + 15501*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 5*w = -3499, 3*p - 2*w = -674 - 2811. Which is greater: p or -1161?\nAnswer: -1161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -222, 23, 4, -1, -8 in descending order.\nAnswer: 23, 4, -1, -8, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 1397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 353 minutes after 4:58 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -11*c**5 + 43*c**2 + 12*c**5 - 24 + 24 wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-2\/5)*(f\/(f*f**(1\/3)))\/f)**(-2\/7) assuming f is positive.\nAnswer: f**(52\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9433?\nAnswer: 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-78)\/30 - (-7 + 4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -270 divided by -27.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -215*a - 228225 + 230375 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -3\/8 (b) 76.5 (c) -3 (d) -5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -101 - -106. What is the third smallest value in s, -3\/5, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -446 + 443. Let m be (-114041 + 41)*160\/t. Round m to the nearest 100000.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((283\/(-1))\/(5\/(-10)))\/1.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2444894946 to the power of 1\/3, to the nearest integer?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -3 - -16 - (399 + -369)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -2*n**3 - n**2 + 2*n - 1. Let j be l(-2). Let q be (-188)\/(-28) - 4\/(-14). Let y = q + -3. Solve j*g + 4*m + 12 = y*g, -12 = 4*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + r - 3*p = 451, 5*r = -4*p + 587. Suppose -173*u - r = -178*u. Calculate the remainder when 100 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 9 and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q**(1\/6)*q))\/((q**(-9)*q*q)\/q))**(10\/13) assuming q is positive.\nAnswer: q**(235\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2302 - -5041?\nAnswer: 10343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be -3*-1*(2 - 1). Differentiate -6 - 3*d**3 + 15 - 6*d**y with respect to d.\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1.1 (b) -5\/4 (c) -1\/26903\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 204 and 1258.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -36 - -22. Let l = -11 - g. Suppose f + 3*c - 94 = 0, 0 = -l*f - 2*c + 312 - 58. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 7*i**2. Let q(x) = -x - 6. Let k(y) = -y - 5. Let s(d) = 6*k(d) - 5*q(d). Determine j(s(n)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 8 divided by -934\nAnswer: -4\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**3 + 16*u**2 + 15*u + 12. Calculate the remainder when 14 is divided by b(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 2*v. Let m be j(2). Suppose -2*q - 67 = -7*q - f, f - 53 = -m*q. Suppose -3*i + 5*o + 0*o = -45, 0 = -i + 2*o + q. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1+0.4099\nAnswer: -0.5901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1827 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 8*b**3 + 12*b**2 - 2*b**3 - 5*b**2 - 5*b**2.\nAnswer: 2*b**2*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2603727176.\nAnswer: 2, 325465897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1097, -2197, -3287, -4361, -5413?\nAnswer: -6437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 112 - 332 + 3269*d + 4919*d + 106 + 113 to a*d + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -30*z + z**2 + 48*z**2 + 10*z - 94 + 33*z**2. What are the prime factors of f(-4)?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 AM and 9:22 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 236 and 4421047.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 629\/61673?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:07 AM and 9:31 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 342 and 380.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14910 is divided by 2980?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*i = -9*i. Let m(p) be the second derivative of -1\/126*p**7 + 0 + 6*p + 2\/45*p**6 - 1\/18*p**3 - 1\/10*p**5 + i*p**2 + 1\/9*p**4. Factor m(a).\nAnswer: -a*(a - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 356 = -i - 298. Let c be 2\/(-8) + i\/(-24). Solve 2 = -5*d + c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1088) + 2 + -5 + sqrt(1088))**2*6 + -2*sqrt(1088)*-1 + 4)*3.\nAnswer: -1680*sqrt(17) + 78510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum 1.4 and -19305.0435802.\nAnswer: -19303.6435802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 16.80712575 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 52633.7733 to the nearest 10.\nAnswer: 52630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0314574678 to 6 decimal places.\nAnswer: -0.031457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 517910 and 109210?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2144509 less than 2144508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h, 1 e, and 1 p when three letters picked without replacement from ehhhhheeps?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 26 (b) -4 (c) 3\/8 (d) -5.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**2 - 16*x + 10. Give l(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4485 + -2652. Suppose 0 = c + 3, -3*w - 3*c + s = -378. Round w to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-18)\/11)\/((-78)\/572)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 2, k: 2, u: 4}. Give prob of sequence uuuk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*q + 29*q = 1. Let g = -174 + 172. Put q, -3, g in decreasing order.\nAnswer: q, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4512 less than 5.75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -182*y + 2188. Calculate f(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((b*b*b**(-2\/97)*b*b)\/b)\/b*b)\/b)**(-3\/17)*b\/(b**(-1\/43)\/b)*b\/(b\/(b**(-5)*b*b)) assuming b is positive.\nAnswer: b**(-94026\/70907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 216*s - 32. Let z = -579 - -583. List the prime factors of x(z).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 16.4, 11, 0.0662, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2096*p**5 - 41*p**2 + 39?\nAnswer: -125760*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2, -852, 5, 17, -13 in ascending order.\nAnswer: -852, -13, -4, 2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 784743.02 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3052*v + 2897*v - 6550*v.\nAnswer: -601*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - 2 - (-2 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 166247573 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 3*u - 2. Suppose -3*j + 9 = 0, 3*j + 0 = 4*g + 1. Let h(n) = g*n + 8*n - n - 5. What is 8*f(s) - 3*h(s)?\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5153.\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3706039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + 0. Suppose -2*n + 2 = g, -2*n + 24 = 3*l + n. What is the remainder when 25 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1865565 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, v: 2}. What is prob of picking 1 z and 1 v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 4, n: 2, k: 1}. Give prob of sequence knii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be (12\/6 + -3)\/((-18)\/(-42)). Which is the second smallest value? (a) -0.4 (b) u (c) -2\/11 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = -4*y + 6023, -6*y - 3*g + 7531 = -y. Suppose y = -k + 2*k. Suppose 4*s - k = 2372. Round s to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-8)\/(-16))\/((-3)\/(-1434))?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 40\/9 in 2\/3, 0, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the first derivative of -3*k**2 - 21*k - 16. Let a(m) = m + 4. Let o(l) = l - 17. Let w be o(15). Determine w*f(p) - 11*a(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - l = 2*l. Sort -4, 6, l in decreasing order.\nAnswer: 6, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 359*i + 1907. What is t(-4)?\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-5 + (sqrt(5) - sqrt(20)))*-4*3 - ((0 + sqrt(605) + sqrt(605))*-4 + ((sqrt(80) + -1)*2)**2 + sqrt(80)).\nAnswer: -260 + 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = j + n, -2*n + n = -4*j - 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 829109.2 rounded to the nearest 1000?\nAnswer: 829000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/2*(-1 + (-18)\/2). Suppose -2*z + 18 = -3*z + 5*s, 3*z = -r*s + 26. Solve -2*y = z*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(325) + sqrt(325) + -5)*-4*1.\nAnswer: -40*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 9 = 0, -3*q - 3*r - 22746536 - 14810518 = 0. Let g be q\/(-9) + (-75)\/45. Round g to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 - 3. Let n = o + 4.00027. What is n rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((p\/(p**(1\/6)\/p))\/p)\/p)\/p)**(3\/35) assuming p is positive.\nAnswer: p**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1118 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -335 + 378. What is the greatest common factor of v and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (13196\/(-4))\/((-28)\/140) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4229 - -4228.995436. What is z rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1044, 1758, 2478, 3204, 3936, 4674?\n\"Answer: 3*x**2 + 705*x + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 134075977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -973*i + 971*i - 470*i**3 + 21 - 372 wrt i.\nAnswer: -2820*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*b - 9 + 20 - 3*b - 22 - 2*b + 11.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7 - -2 - 3) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2469351746 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.778 (c) 4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in b**3 + 16164 - 175*b - 8087 - 8077.\nAnswer: b**3 - 175*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -471 + 466.3. Which is the third biggest value? (a) 0.4 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 272, 277, 292, 323, 376, 457?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2962 + -468?\nAnswer: 2494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (234\/(-27))\/(104\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is j in -3*j**2 + 1014675*j + 2029362 = 0?\nAnswer: -2, 338227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 - 2.109.\nAnswer: -1.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**2 - 101 + 101 + 3*v - 6*v. Let i be q(-4). What is the nearest to -1 in -2\/9, 1\/3, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 17\/4 - 2\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -217 - -219. Let y(g) be the first derivative of -9\/7*g**j - g**4 - 1\/21*g**6 - 3 + 32\/21*g**3 + 4\/7*g + 12\/35*g**5. Factor y(o).\nAnswer: -2*(o - 2)*(o - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 7, -4\/9, 1, -8.\nAnswer: -8, -4\/9, -0.2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be 173 - (0 - -2 - 3). Calculate the greatest common divisor of 290 and m.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 962 and 442.\nAnswer: 16354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -37, 10, 4, -4.\nAnswer: -37, -4, 0.2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 23997 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 122222\/11 + -11111. Put 1, 3\/5, d, -39 in descending order.\nAnswer: 1, 3\/5, d, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 2*k = 2*c - 13, 0 = -2*k - 2*c + 12. Let m = -931094\/17 - -38696873\/697. Let y = m - 749. Is k > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 132 (base 6) to base 8.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 53\/423 + -2\/141. What is the fourth smallest value in x, -1, 0.7, 1\/2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 16 * -134.6\nAnswer: -2153.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -5783*k - 5788*k + 5*q - 6 = -11572*k, 0*q - 2 = k - 3*q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -3*d**3 + 8*d**2 + 9*d - 34. Calculate z(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7299\/83767 + -44\/397. Let i = -6249\/5486 - q. Find the common denominator of i and -1 + 0 - 67\/(-22).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -65\/293724 and -8\/205.\nAnswer: 1468620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/h**(-4))\/h)**(-14\/3) assuming h is positive.\nAnswer: h**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jpfw when four letters picked without replacement from kpkkjrwfwrrj?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 149 divide 128596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 19 (base 13) to base 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 6710000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (14 - (15 - 8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 676 + 626 = 93*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 633651578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 7, u: 1, z: 3, p: 5}. Give prob of sequence up.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -5*j**2 - 3*j + 2. Let o(z) = -10*z**2 - 6*z + 4. Suppose 4*b = -4*y + 12, 0 = -3*y - 64*b + 69*b - 55. Determine y*t(h) + 3*o(h).\nAnswer: -5*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 3*i - 11. Let m(b) = 6*b + 12. What is the tens digit of m(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3496*a - 9649*a + 451095 = 284608 - 451328 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 4 - 2)*(1 - 5 + 3) - 3 - 1 + 2)*(z + 2*z - 4*z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*l + 4*l = -72. Suppose -5*g + 3*g = -60. Calculate the greatest common divisor of g and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.39 (b) 3 (c) 4\/5 (d) 12\/427 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - y + 28 = y, 3 = 2*s - 3*y. Calculate the remainder when 2\/s + 412\/9 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (1*4\/8)\/(7\/(-14))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) 4 (c) -126 (d) -0.61 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/14652939 and 40\/7.\nAnswer: 14652939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = l - 3*g - 6, 5*l - g - 11 = 0. Suppose 2*q - 12 - 2 = -4*p, -2*p - 4*q + 22 = 0. Is p smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1.8, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 11 and 1419?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 = 2*x + 37. Solve -5*o = 11 + x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -26*q - 18 - 13 + 31. What is the remainder when 310 is divided by h(-2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*t**2 + 281*t**2 + 175*t**2 + 860*t**2.\nAnswer: 1301*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 89535.39 days to seconds.\nAnswer: 7735857696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -295 - -289. Let v be 50\/114 + 2\/c. Sort 2\/7, -1\/9, v, 0.4 in decreasing order.\nAnswer: 0.4, 2\/7, v, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 - -11022121020002?\nAnswer: 11022121020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**2 + 15*a + 4. Let t be l(-15). Let m be t\/(-24)*4*3. Does 13 divide 0 + (-3 - -44) + m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 441 = 5*a + 2*f, -f + 180 = 2*a + f. Let z = 6 + a. Calculate the remainder when z is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 1778*t - 3430. What is the least common multiple of 798 and y(2)?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 364\/(-1568) - (-6)\/16.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i**4 + 3*i**3 - 3*i**3)*(-85 + 4*i + 25 - 16*i + 34).\nAnswer: 12*i**5 + 26*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-62 + -31 - -30) + 30?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 867541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (-1*sqrt(396))**2 + sqrt(11) + 4.\nAnswer: sqrt(11) + 403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 1280, 22, 20, 5 in ascending order.\nAnswer: 3, 5, 20, 22, 1280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/606 and ((-5)\/2)\/(308\/(-539)).\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, 5.51791, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 + -244?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6 + -6. Let q = v - -3. Suppose -3*c + 3*d - 5 = -d, -45 = -5*c - 4*d. What is the nearest to 0.1 in c, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4.7, -21, -19, 2, 1 in ascending order.\nAnswer: -21, -19, -4.7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the first derivative of j**4 - 740*j**3 + 205350*j**2 - 25326500*j + 379. Determine f, given that t(f) = 0.\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -123*u**2 + 124*u**2 + 8 + 2*u + 10. Let n be p(0). Let f(d) = 16*d - 11*d - n*d. Let a(g) = -2*g**2. Calculate f(a(x)).\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 43066031?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -455.336 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 166, -6 in decreasing order.\nAnswer: 166, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 17*u + 24. Let l(q) = -16*q - 25. Let o(i) = 4*j(i) + 5*l(i). List the prime factors of o(-13).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-5\/6)*t\/(t**(2\/19)\/t)*(t*t\/t**(-1\/2))**22*t**(6\/11)\/t**(-2)*t**(-2\/9)*(t\/(t*t**3*t))\/t assuming t is positive.\nAnswer: t**(200833\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be -6*3\/36*(-108)\/(-3). Let q(a) = a**2 + 19*a - 18. What is q(o)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 432 and 3264?\nAnswer: 29376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:04 PM and 5:20 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*c + c + 12200 = 0. Let d(p) = -c - 4*p + 1525. Let a(h) = -2*h**2. What is a(d(n))?\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -127*p + 125 = -102*p. Which is the closest to -1\/6? (a) p (b) 10 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -2785*o + 4 - 2784*o + 8353*o - 2794*o. Give d(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 282033 is divided by 166?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 83 a factor of 10819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the third derivative of -a**6\/120 + a**5\/15 + a**3\/3 + 24*a**2. Determine y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -20519687\/5 = -4103936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 1cbe9 (base 15) to base 7.\nAnswer: 540345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -2*j**2 - 2*j - 1. Let u be g(-1). Let y(x) be the second derivative of -2*x**3\/3 + 92405*x. Calculate y(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 564.5536 millilitres in litres?\nAnswer: 0.5645536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -2*b**3\/3 - 121084*b**2 + 12352880*b\/3 = 0. What is b?\nAnswer: -181660, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -1049 + 1057, -4*m + 4*s + 32 = 0. Solve -4*j - 16 = 4*r, 5*j - m*r = -7*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.2 + 0.5. Let l = 420.4 + -423.4. Let p = 1.3 - 1.5. What is the closest to p in l, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-52*u + 821 - 821)*(-u**2 + 0*u**2 + 3*u**2) + (4 - 4 - 2*u)*(u**2 + 0*u + 0*u) + 6*u**3 - 3*u**3 - 4*u**3 - 2*u**3 + 1 - 1.\nAnswer: -109*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -861, -828, -811, -816, -849, -916, -1023, -1176?\nAnswer: -1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 415311468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -828, -33 in increasing order.\nAnswer: -828, -33, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((1*sqrt(85) - sqrt(85))\/sqrt(5) + (sqrt(17) - sqrt(51)\/(sqrt(3) - -1*sqrt(3)))).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -c**2 - 378*c + 379 = 0.\nAnswer: -379, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 167*b - 1868 = 634*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify s\/s**(-3\/10)*s\/(s**3\/s) assuming s is positive.\nAnswer: s**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -103 (b) 1\/2 (c) 3.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - (13 + (-1380)\/108 + (-210)\/(-27)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**2 - 50*j + 328. Calculate v(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 2, k: 1, g: 1, c: 5}. Give prob of picking 2 c and 1 g.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be -6 + 2 + -5 + (-10)\/(-5). What is the common denominator of (((-4473)\/12)\/w)\/(-6) and -49\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28788929.\nAnswer: 13, 41, 54013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.4, -0.5, -4, 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 166 - 160. What is the highest common divisor of 42 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 1690*350\/(-45500)*1\/(2\/2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 7*u = 1764. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 19? (a) -234 (b) 1\/39 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*d**3 - 3924153*d**2 - 6*d - 18093910 wrt d?\nAnswer: -6*d**2 - 7848306*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 26707 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -11042, -36306, -61570, -86834, -112098?\n\"Answer: -25264*v + 14222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zznyznnzzyezndzzn. Give prob of picking 1 e, 1 z, and 1 n.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 48722, 195063, 438956, 780395, 1219374?\nAnswer: 1755887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -45*t + 35*t. What is the third derivative of -146*b**2 - 144*b**2 - 108*b**2 + 327*b**t + 38*b**4 - 2*b wrt b?\nAnswer: 912*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -22 + 28. Let k = u + -4. Find a, given that 4*a**3 + 0*a**2 - 2*a + 2*a + 4*a**k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 118, 212, 284, 322, 314, 248?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1017, -5, 53, 3, 15.\nAnswer: -5, 3, 15, 53, 1017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 517 or -93?\nAnswer: 517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**3 - 10*w**2 - 13*w + 16. Give b(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 5*p**5 - 485*p**4 + 11260*p**3 + 12740*p**2 - 23520*p = 0.\nAnswer: -2, 0, 1, 42, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -10*x**3 + 4*x**3 + 4*x - 3*x in the form d*x**2 + j*x**3 + k*x + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -3*x - i, 2 = 2*x + 2*i - 4. Suppose -2*l + 2*s + s = -16, -8 = -x*s. What is the common denominator of l and -43\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 40.099 - 40. Round o to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 96*k - 9. Let c be u(-1). Is -106 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 - -8. Let j(n) = -4 + 0*n + 2 + n**o - n. Give j(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1003012 (base 7) in base 6?\nAnswer: -2313251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 1.2 (b) 0 (c) -23 (d) -5\/614\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be 15\/(6*(5 - (-22)\/(-4))). Put k, 0, -10 in ascending order.\nAnswer: -10, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -5*k + 6. Let w be b(4). Let u(z) = -z**2 - 8*z - 27. Let h be u(-6). Which is bigger: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 0 + -24b31c?\nAnswer: -24b31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes after 4:27 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-48)\/72)\/((-8)\/(-12)))\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(320) + -2)*2 + 1*(3 + (0 + sqrt(125) - sqrt(125)) + sqrt(125)))**2.\nAnswer: -42*sqrt(5) + 2206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*o - 204 = -7*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 + 9 = -5*r. What is the nearest to -0.2 in 3, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -423 = -80*w - 13*w + 507. Let j(i) = 0*i**2 - 6*i + i**2 - 5*i - 5. Calculate j(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 18 = -4*u - 0*u, -2*b + 6 = 2*u. Suppose -f - 18 = -3*a + f, 0 = -b*f - 15. Let w = a + 5. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m**3 - 8*m**5 + 10*m**2 + 3*m**5 + 34*m**4 - 44*m**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 334978 + -1662827\/5. Let v = 2421 - m. Calculate the common denominator of 15\/6*298\/30 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 13329828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add together 347913 and 0.0486936.\nAnswer: 347913.0486936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 13 divided by 84\nAnswer: 13\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in -24, 5, -5, 8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -66, -139, -184, -189, -142, -31, 156, 431?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bobb. What is prob of sequence obb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6961465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -2*y. Let h(q) be the third derivative of q**4\/3 - 20*q**2. Calculate z(h(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*g - 2*f + 13986 = 20*g, 4*f = -2*g + 9324. Suppose 16*r - g = 7*r. What are the prime factors of r?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the first derivative of -p**4\/4 + 28*p**3\/3 + 7*p**2\/2 - 15*p - 168. Is g(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 663.2 greater than or equal to -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -9 - 1 - 4*q + 3*q. Let n be s(-9). Calculate the least common multiple of n\/1*2*-11 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 5*d + 1. Let g(c) = 4*c + 2. What is -2*b(q) + 3*g(q)?\nAnswer: 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 5*j - 18 = 0, 0*j + 22 = 3*y + 4*j. What is the nearest to y in -4, -3\/5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -31 + 34. Suppose 0 = r*f + 22 - 205. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 91 + -11. What is the lowest common multiple of b and 12?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) 82 (c) 136 (d) -45 (e) 5 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.010794 plus 8?\nAnswer: 7.989206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the third derivative of 0*h**3 + 1\/150*h**5 + 2*h**2 + 1\/60*h**6 + 4\/525*h**7 + 0*h**4 + 0*h + 0. Factor w(m).\nAnswer: 2*m**2*(m + 1)*(4*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -48*x**4 + 7*x**3 + 7*x**2 - 2. Let r(l) = 16*l**4 - 2*l**3 - 2*l**2 + 1. Let c(v) = 2*o(v) + 7*r(v). Find the first derivative of c(w) wrt w.\nAnswer: 64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/26 + -1*16\/(-234). Which is the closest to 1? (a) 1\/10 (b) d (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(104) - 3*(sqrt(104) - (sqrt(104)*2 + sqrt(104) - sqrt(104))))*2)\/(-6*1*sqrt(8) + sqrt(8) - (sqrt(128) - sqrt(8))*6).\nAnswer: -8*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18402 - -30879. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -52 divided by 55?\nAnswer: -52\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 96.56687 rounded to 1 dp?\nAnswer: 96.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be (51\/(-34))\/(3\/(-4)). Let u = 0 + 3. Suppose -5*v - 2*m = m - a, 3 = -u*m. Which is smaller: v or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 60 and ((-54)\/(-21))\/(194\/(-28) - -7)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24792?\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and 9601?\nAnswer: -4800.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 2*o**2 - 4258*o**3 + o - 4*o**2 + 4265*o**3 to k + w*o**2 + h*o**3 + n*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q + 3*q - 6*q)*(-1 - q + 1 + 3*q - 2*q - 2*q + (-1 + q + 1)*(-3 - 2 + 4) - 5*q + 5*q - 9*q).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -54*t + 59*t. Let l = 5 + t. Which is bigger: 3\/35 or l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n**2\/4 - 255*n\/2 + 515\/4 = 0. Calculate n.\nAnswer: -103, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**2 - 13*y - 11. Let c be g(14). List the prime factors of 160\/c + 6\/(-18).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {q: 4, m: 2, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4\/7 in 183, -0.1, -4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24 - 20. Suppose -5*t + 8*t = -2*f - 15, -h*t = -4*f + 20. Let l(v) = -v**3 - 2*v**2 + 5*v - 6. What are the prime factors of l(t)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:09 PM and 5:38 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -1278*j**3 + 15*j**2 + 5*j + 5. Let v(d) = -187864*d**3 + 2208*d**2 + 736*d + 736. Determine 736*u(t) - 5*v(t).\nAnswer: -1288*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l + m = -23, -22 = -2*l - 5*m + 9*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 422554.4 to the nearest one hundred.\nAnswer: 422600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 184 = -4*i, -4*i + t + 3*t = -188. Suppose i = d - 15. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes before 6:42 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -22*360\/50160*(-133)\/6.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -82979 + 83056. Suppose -f = -5*f + 84. What is the highest common factor of f and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 76.1 (b) -6 (c) -0.2 (d) 4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 4021920 by -10584.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be -3*(-5)\/(-9)*3. Let h(i) = 2*i**2 - i + 31. Let x(r) = 5*r**2 - r + 71. Let u(m) = 7*h(m) - 3*x(m). Calculate u(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 575352, 575347, 575342?\nAnswer: 575337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*((-3)\/2)\/((-2)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 - (9 + (-93 - (13 + (-1 - -11 - 9)))).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 630567983 is divided by 916.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be 135\/180*((-177)\/(-9) + -1). Solve n = -5*x - 2*f, -f + 4*f = -2*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 560427 is divided by 14748.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/352774 and 73\/6164?\nAnswer: 47271716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7 - -10. Suppose -y*i + 68 = -i. Suppose -4*l = -10 - 38. Calculate the remainder when i is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {e: 5, b: 4, q: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the first derivative of -g**2\/2 + 6*g - 4. Let p be n(13). Let v(r) = -2*r - 5. Calculate v(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 87*o + 24*o + 42*o - 1 - 5 + 5 - o + (2*o - 4*o + 0*o)*(-2 + 4 + 0) + 5*o - o - 2*o + 6*o - 3*o - 4*o + 6*o - 3*o - 2*o in the form y*o + k and give y.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 12*k**2 - 10*k + 10. Calculate f(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 627430.\nAnswer: 2, 5, 62743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express u + 0*u**2 + 2*u**2 - 8 + 6 + 4*u**2 - 4*u**2 - 6*u**2 - 29*u - 4*u**2 + 29*u + (0 + 0 - u)*(2*u + 0 + 0) in the form s*u**2 + i*u + y and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -15.53 + 15.83. Let z = 3 + -5. What is the fourth smallest value in 0.2, z, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7 + -13. List the prime factors of (-6)\/10 + (-132)\/q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -24\/223315 and 107\/20650.\nAnswer: 15632050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 148336 is divided by 152?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/467? (a) -0.3 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -219*o**2 + 364*o.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (0*f - 5*f - f)*(6*f**2 - 38*f**2 - 32*f**2 - 11*f**2 + f**2) in the form i + b*f + k*f**2 + d*f**3 and give d.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -48*((-24255)\/880)\/49\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2816, 5459, 7788, 9647, 10880, 11331?\n\"Answer: -26*m**3 - m**2 + 2828*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -17 + 33. Let n = 16 - o. Let d(u) = 0 + u**3 + n + 6*u**3 + u. Give d(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 82119, 164256, 246393, 328530, 410667, 492804?\nAnswer: 574941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/12, 2\/5, -2, -1.\nAnswer: -2, -1, 1\/12, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4372750?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -667 > -4666\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -6*x. Let m be -5*((-144)\/10)\/6. Suppose 5*s = 37 - m. Let i(f) = -2*f + 2*f + s*f - 3*f. What is a(i(c))?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u**2 + 7*u. Let w be f(6). Calculate the common denominator of (-706)\/60 + (-2)\/w and -23\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*j + 282 = 186 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 80 = -5*p, 5*p = -2*n + p + 26. Suppose -n*z + 17*z = 6. Let o = -4 - -6. Solve -u + o*m = -z*u - 8, 3*u - 3*m = 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -9, -45, -105, -189, -297, -429?\n\"Answer: -12*a**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**3 - 7*d**2 + 3*d + 10. Calculate k(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at most as big as 319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1027 and 869?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r + 5*y - 4, r - 2*y = y + 6. Suppose 0*i - 4*i - 66 = -2*g, 0 = -g - r*i + 23. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 30*o - 10830 - o**2 + 40*o**2 - 12*o + 6*o**3 - 9*o - 12*o wrt o.\nAnswer: 18*o**2 + 78*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 - -100100100010000110011?\nAnswer: 100100100010000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 15071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/8, -47\/2811, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 850831036 to the power of 1\/3, to the nearest integer?\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 2*d + 4*i - 6 = 0, -5*i + 15 = 5*d. Let o(x) = -x. Let h be o(-2). Suppose -z - 5 = -h*z. Solve -2*q = -3*q + f - 1, 26 = d*q + z*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -111101 (base 2) in base 7?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nxpxnxaxxxampyx. Give prob of picking 1 a, 1 y, and 1 n.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -64 - -44. Let a = x + 15. Let g = 4.9 + a. Sort -3, 1, g in decreasing order.\nAnswer: 1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*y - y + 655 = 33*y - 505 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-2\/3)\/o**(2\/11))\/(o**(1\/2)*o*o*o\/o**(-3\/2)*o))**46 assuming o is positive.\nAnswer: o**(-10396\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**2 - 41*h + 10. Let v(i) = 37*i - 8. Give -4*o(n) - 5*v(n).\nAnswer: 4*n**2 - 21*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:05 AM and 8:56 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s**3 + 6*s**2 - 10*s - 2. Let f be l(4). Put 21, f, -1 in decreasing order.\nAnswer: 21, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.05461? (a) -1\/2 (b) 0.3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 14 (b) -269 (c) 135 (d) -2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3182)\/23865)\/(((-102)\/459)\/(10\/21))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 595 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be 10*2\/4*-2. Let c be (-106)\/f + (-14)\/(-35). Let l = 2647 + -2636. What is the greatest common factor of l and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) -0.123 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-7)\/(-4))\/(-7) - 11\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1351794 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02491254 rounded to five dps?\nAnswer: -0.02491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 3*d - 2*d - 6*d + (4*d + 2 - 2)*(1 + 2 + 2) - 2 + d + 0 + d + 2*d - 4*d - d in the form m*d + r and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*r**3 - 5*r**3 + 0*r**3)*(-258*r - 346*r + 268 + 599*r) + (-2*r**4 + r**4 - r**4)*(0 + 2 - 4).\nAnswer: 9*r**4 - 268*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = 3*v - 299, v = -s + 56 + 18. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 28 = 118. Let y = -27 + u. Suppose 3*z - 27 = y*r, -2*r = -4*z - 0*r + 28. What is the third smallest value in z, -0.5, -2\/5, -4\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4*180\/(-80) - 8930\/(-990)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/504 and 47\/105?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/(-7) - 2338\/49. Let l(f) = 6*f**2 + 2*f - 4. Let o be l(-2). Is o\/h + 8396\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.6, -3\/316, 1, -0.5, 2\/9 in descending order.\nAnswer: 1, 0.6, 2\/9, -3\/316, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the third derivative of -p**6\/120 - p**5\/60 - p**4\/24 + 2*p**3\/3 - 3*p**2. Let k be q(0). What is the nearest to -1 in -0.3, k, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9012909ng to tonnes.\nAnswer: 0.0000000000000009012909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.2 - 1.1. Which is the fourth smallest value? (a) -12 (b) 2\/15 (c) g (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/4293960 and 139\/24202320.\nAnswer: 266225520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1384, -1596, -1820, -2062, -2328, -2624, -2956, -3330?\nAnswer: -3752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 + -31. What is the tens digit of ((-1 - -1) + l)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes after 12:59 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 585 + -578. Which is the third biggest value? (a) 0.5 (b) h (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 82\/(59778\/(-135))*2\/(-5).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**3 - 17*l**2 - l + 2. Determine y(17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 9.2759 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 670774 + -671195.99584. Let r = 422 + s. Round r to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 45018359 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -234*r + 77*r - 141*r - 5364 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in -0.5, -1\/3, -1, 0.95, 8, 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = -c - 9 + 37, -5*c - 4*o = 5. Suppose 3*w - 14 - 10 = 0. Suppose r - c*f - 42 = 0, 7*r - f = w*r - 34. What is r rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 3 + sqrt(343).\nAnswer: 6 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 61615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pspwscp. What is prob of sequence cccs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10 - 7. Let j = 0.049 + -0.004. Let y = 3.955 + j. Which is the nearest to 0.1? (a) y (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 156 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-21)\/(-43)*4037\/(-28259).\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13362202 and 41598.\nAnswer: 4622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 2*a + 1. Let g be y(1). Let r = g - 1. Let p(w) = -w + 7. Let t(c) = -2*c + 8. Let f(l) = -7*p(l) + 6*t(l). Calculate f(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 191761565.\nAnswer: 5, 37, 113, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.03 + 1.97. Which is the biggest value? (a) 0.5 (b) -9 (c) 0.4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -480*h**3 - 2634*h + 2634*h.\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.5 - -4.5. Let i = -962 + 1921\/2. What is the nearest to 0 in v, i, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (-6 + 3 - -2 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80) + sqrt(80)*-2*-4 - (sqrt(80) + 0)*2)**2 - (-4 + -6*(-3*sqrt(80) + -1)).\nAnswer: -72*sqrt(5) + 3918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -11*f + 30*f - 16*f. Let x(u) = 3*u. What is s(x(n))?\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 22900379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = q - 5*c - 15, 2*c + 6 = q. Suppose -2*d = -d - 15. Let b = d - q. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 - 2410223?\nAnswer: -2410231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 96978.66 years?\nAnswer: 96.97866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 2*y - 9. Let m be v(4). Let k = -17 + 13. Let n be 4 + -2 + k\/(-2). Which is the closest to m? (a) n (b) 3\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 446715 and 38745?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 387*g**2 + 4*g - 161. Let a(v) = 776*v**2 + 10*v - 322. Let o(y) = 3*a(y) - 7*u(y). Differentiate o(j) wrt j.\nAnswer: -762*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8977 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 32 and -492535865033?\nAnswer: 492535865065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5072 and 3170?\nAnswer: 25360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 263334412*x + 162511531?\nAnswer: 263334412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 6, 2, -523\/81, 0.04, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 - 67274?\nAnswer: -67273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 22*q**3 + 6*q + 9. Let k be n(3). Suppose k = -r + 884. What are the prime factors of r?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1562212 > -1562212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 11122.11t to kilograms.\nAnswer: 11122110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-85)\/(-15))\/((-2)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 2*s**2 + 2*s + 18. Let k(a) = -12*a**2. Calculate o(k(u)).\nAnswer: 288*u**4 - 24*u**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes before 1:30 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.204544424 rounded to 4 decimal places?\nAnswer: 0.2045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1219648635 and 36?\nAnswer: 1219648599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 2*x**2 + x - 7. Determine s(-6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*q**3 + 142668592*q**2 - 689142680 wrt q.\nAnswer: -6*q**2 + 285337184*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1000010 (base 2) in base 15?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 5 + 4*v + 0 + 4 - v**2 - 2. Calculate k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -6*s**3 - 14*s**2 + 34*s - 7. Let z(g) = 5*g**3 + 12*g**2 - 35*g + 6. Let d(c) = 2*x(c) + 3*z(c). List the prime factors of d(5).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -140*w + 535*w - 3 - 127*w - 272*w.\nAnswer: -4*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*l**5\/5 + 1934*l**4\/15 - 13574*l**3\/15 + 9398*l**2\/5 - 17272*l\/15 + 152\/3 = 0. Calculate l.\nAnswer: 1\/21, 1, 2, 5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from tkkmfmtkfkfvv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5167 + -5137. Calculate the highest common factor of 980 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (-1 - 0) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(132) + (sqrt(132) - -1*sqrt(132)))\/sqrt(12) + (-3 + sqrt(11))*4 + -4.\nAnswer: -16 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the first derivative of 69*m**2 + 75*m - 77. Does 17 divide r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -15\/1144 and -107\/468.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 164344 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -81\/7108 and 1\/8 - (-13 + (-15190)\/(-880))?\nAnswer: 78188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1137, 2445, 3753, 5061, 6369?\nAnswer: 7677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -67465 and -24002?\nAnswer: 43463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 137938913 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 93 + -82. Let d(a) = a + 9*a + 0*a**2 - 2*a**2 + g*a + 16. Let l be d(11). Is 7 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 324843 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/361858 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -9712 = 868*y - 10417 + 55389 for y.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 6*o**3 + 35*o**2 + 115*o + 8. Let n(f) = -3*f**3 - 18*f**2 - 57*f - 6. Let q = 207 - 194. Let h(b) = q*n(b) + 6*m(b). Suppose h(k) = 0. Calculate k.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 770.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**2 + 4*y - 2. Let d(g) = -2*g**2 - 7*g + 4. Suppose 5*h = h + 8. Suppose -4*k = -3*k - 2, -8 = 3*v + h*k. Give v*d(b) - 7*t(b).\nAnswer: b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -9 + 115*l + 71*l - 4. Let k be v(6). Round k to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25 divided by 5143489.\nAnswer: 25\/5143489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 333950077?\nAnswer: 653, 511409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -2105025 (base 6) to base 15\nAnswer: -20425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2673)\/sqrt(11) + sqrt(24)\/(sqrt(392) + sqrt(8)))*5.\nAnswer: 365*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -78*x = -56*x - 40*x - 3027600. Round x to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -18\/1715 - 153936\/39445. Let j = -685\/322 - c. Let g = 34217\/22 + -1555. What is the common denominator of g and j?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.05 - 2.45. Let v = 254 - 251. Let d = t + v. Sort -2, d, 0.1 in descending order.\nAnswer: d, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand b**5 - b**5 - 2*b**5 + (6 - 2 - 2)*(4*b**5 - 2*b**5 + 0*b**5) + (-2*b**5 + 248*b - 248*b)*(-4 - 4 + 4).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j + 2*t - 0*t - 4, 3*j - 4*t = -1. What is the common denominator of (j + 1)*(-129)\/(-48) and (-593)\/28 + 20\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, r: 5, h: 8}. Give prob of sequence hrr.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*k**2 + 11*k**2 + 62*k - 3*k - 59*k + 69*k**2.\nAnswer: 107*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**2 + 5*q + 22. Let c be l(7). Is ((-67)\/1)\/((-5)\/(c - 3)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 2, p: 8}. What is prob of picking 1 p and 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h = -2*x + 22, 2*h - 3*x - 4864 = -4881 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45754141?\nAnswer: 29, 1577729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 3 + 8 = 0. Solve -3*c = 2*c - x, 0 = -3*k - c - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-8))\/(4\/(-16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 5*y**2 - 2*y - 3. Suppose 8 = 2*h - 2. Let u be i(h). Calculate the greatest common factor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/(z*z**(-1)*z*z))\/z*z*z**(-5\/4))\/(z**4\/(z\/(z**8\/z*z))))**(2\/101) assuming z is positive.\nAnswer: z**(-53\/202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3.4 + -0.6. Let y = 5 + n. Let f = y + -3. Is -2 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -54*b**2 - 58*b**2 + 239*b**2 - 59*b**2 - 69*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1360*s**5\/3 - 29564*s**4\/3 - 49168*s**3 + 105268*s**2\/3 + 1583480*s\/3 + 358400 = 0. Calculate s.\nAnswer: -14, -5, -3\/4, 256\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 457 + -456. Solve -2*b - 3*w + 3 + h = 0, 4*b = -2*w + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21.23 + 21664533410.\nAnswer: 21664533431.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * 0.03.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -36 - -58. Let v be -1*(-2)\/(-1) + m. Suppose -4*a = v, b - 4*a - 23 = -0*b. Solve -b*u + 25 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -b7 + 5?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 70 + -29. Let v = 41 - b. Let q(f) be the third derivative of f**6\/120 - 7*f**3\/2 - 26*f**2 - 2. Give q(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6469376 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38*k**2 - 639*k**2 - 1346*k**2.\nAnswer: -1947*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.2018 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the third derivative of -v**6\/120 + v**5\/60 - 7*v**3\/6 + 3*v**2. Suppose -4*n - m = -3, -4*n + 4*m = -8 + 20. Calculate a(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1500 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -73*x = -66*x + 553. Put 0, x, -2 in descending order.\nAnswer: 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27874 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v**3 - v**3 - 3*v**3)*(-1030*v**2 + 3 + 11 - 14 + 61*v**2)*(0 + 3 + 1).\nAnswer: 7752*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(200) - (sqrt(200) + 2)) + 0)**2*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -3.06809 to two decimal places.\nAnswer: -3.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-48)\/(-28)*(-14)\/(-4). Solve 4*d + 14*g = 19*g, -g = -2*d - o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 429 minutes before 3:42 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z - 7. Let b be -3 + 2\/1 - -10. Let h be j(b). Suppose -2*s + 23 = -3*y, -23 = 4*y + 7*s - h*s. Is -7 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1141509?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -6*h**3 + h**2 - h + 1. Let w be m(1). Which is the second biggest value? (a) w (b) -4 (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2650*x + 18913 + 28787 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.176381 or -1925?\nAnswer: -1925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**2 - 11*k - 22. Let x(o) = 2*o + 4. Let h(w) = -6*r(w) - 33*x(w). Let l(a) = -8*a - a**2 + 8*a. What is l(h(t))?\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -70 + 39. Let x = 31.0000002 + p. Round x to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 3*i**4 - i - 1. Let q(d) = 5*d**4 - 31*d + 2890. Let z(y) = -5*b(y) + q(y). Differentiate z(g) with respect to g.\nAnswer: -40*g**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cf when two letters picked without replacement from cststkfkssssstts?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 378375 (base 12) to base 2.\nAnswer: 11011101001100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*o = 64296 + 7416. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v - 3*v + 4*q + 43, 5*v = 2*q + 39. Suppose -5*p = 4*w - v, -p - w = -4*w + 10. Is -2 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -747*c**5 - 8*c**2 + c.\nAnswer: -44820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 2*f - 19. What is b(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 120 a factor of 3588527280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 12602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2\/3 (b) -3 (c) -0.1 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (21 - 9) + 82 + -18 + (-4 - -5).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3542661 (base 7) in base 6?\nAnswer: 13332133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 2161, 2107, 2017, 1891, 1729, 1531?\n\"Answer: -18*x**2 + 2179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 277479 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-42)\/(-245) + (-4)\/7.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 94\/(-10) + 8\/20. Let j = -41\/40 - -5\/8. What is the closest to j in v, 1\/5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the second derivative of 2\/3*v**3 + 0 + 25*v + 19*v**2. Let d be a(-9). Solve d*r + 4 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 1481456405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 8, 2\/21, 13 in ascending order.\nAnswer: -5, 2\/21, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 4*w**2. Let o(g) = -4*g - 41. Calculate o(s(x)).\nAnswer: -16*x**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h - 5*a - 349, 0 = -4*h - 2*a + 421 + 1. Let o = h + -104. Solve -3*y - 7 = o*r, -2*y - y + r = 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes before 1:09 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -121\/476070 and -173\/420?\nAnswer: 952140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.2 - 6.3. Let l = s + -1.2. Let b = l - -4.7. Put b, -3, 0.1, -0.1 in descending order.\nAnswer: 0.1, -0.1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2455405 = -69*i + 64*i - 4*u, -982162 = -2*i + 5*u. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 3 = -t + 10, -5*s + 5 = 0. Let p = 2 + t. Suppose 5*z = v + 86, v + 0*v = -p*z + 84. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 552\/129*3870\/(-180)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 3 h when four letters picked without replacement from {h: 4, u: 14}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17415101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 6*r + 10. Let p be x(-15). Let d = -43 - p. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the first derivative of -2*a**2 + 48*a + 0*a**4 - 10*a**2 - 8*a**3 - 33 + 2*a**2 - a**4. Factor g(v).\nAnswer: -4*(v - 1)*(v + 3)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a = 4*l - 55, 214*a = -9*l + 219*a + 55 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o**2 + 5 - 5)*(9752 + 151*o - 9752)*(6 + 9 - 5).\nAnswer: 3020*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2625.20888 - 0.50888. Round f to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 37 + -45. Find the common denominator of 141\/4*2\/(-24) and s\/(-66)*63\/8.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the third derivative of l**4\/24 - 81*l**2. Let s(a) = -a. Determine -f(n) + 3*s(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:32 AM and 7:04 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 74330*h*j**2 + h*j + 592*h - 17*j + 2 wrt j.\nAnswer: 148660*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 770942 less than -1228522?\nAnswer: -1999464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.08792 + -74777092.\nAnswer: -74777093.08792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5 + 4.6. Let g = -23147 - -23143. Let i be -2 + 63\/15 + -2. Which is the closest to i? (a) u (b) g (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 188 - 188. Suppose -7*s + 3*s = -4. Let g be (s + 0 - 0)*-1. Which is the nearest to g? (a) m (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 - 26 = d. Let c be (-2)\/6*(-76 - d). Put 30, -1, c in increasing order.\nAnswer: -1, c, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 177181?\nAnswer: 163, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + ((-2368)\/(-80))\/(4\/10). Suppose -76*m + s*m + 16 = 0. Suppose -1 + 9 = m*z. Calculate the lowest common multiple of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(0 + sqrt(176) + 1*sqrt(1100)).\nAnswer: 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8717 = k - 170634. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0006147 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be (3 - 2)*(5 + 2 + -4). Solve z - a*f + 0 = 15, 3*z + 2*f + 10 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the third derivative of -z**4\/8 - 8*z**2. Let p(n) = -4*n. Let g(r) = -5*o(r) + 4*p(r). Let x(f) = -5*f. Calculate x(g(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-984)\/(-11316) + (-188)\/46\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 163952*u**3 + u**2 + 352470 wrt u.\nAnswer: 983712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 868\/(-952)*-17*-2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 54 - 14. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 10 + -12 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -3*z**2 - 2*z + 2. Let c(j) = 7*j**2 + 5*j - 5. Let h(w) = 5*b(w) + 2*c(w). Let i = -1 + 3. Let d(u) = 3*u**2 - 3*u**2 - 2*u**i. Calculate h(d(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 303 + -218. Let a = i - 84. Sort -0.3, a, 1\/4, 2 in ascending order.\nAnswer: -0.3, 1\/4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -3*d, -4*d + 1 + 6 = k. Suppose -k - 34 = 5*v. Let l be (-6)\/(-4)*(-2 + 0). Sort l, v, 0 in descending order.\nAnswer: 0, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 149 minutes after 3:50 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -47\/2 (b) 0.1 (c) 26\/7 (d) 4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 70 and 485436.\nAnswer: 2427180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-35)\/2625*-25*(-27)\/(-21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 78 - 5*t - 180 - t**2 + 95 in the form j + m*t + y*t**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 4 - 3)*(-2111 + 37*n + 2111)*(-22 + 22 + n) to the form k*n**2 + h*n + i and give k.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(363) + -2)*-6)**2 + -5 + -3 + sqrt(108)*-1.\nAnswer: -798*sqrt(3) + 13096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -d, r + 94 = -5*d - 35. Let f = r - -224. Calculate the remainder when f is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*f = -7*k + 391, -1250*k + 1247*k = 4*f - 199 for k.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be 73\/438*3\/2. Let n(w) be the third derivative of -4\/15*w**3 - 7\/300*w**5 + 0 + x*w**4 + 0*w - 17*w**2. Factor n(l).\nAnswer: -(l - 4)*(7*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.722524 minus -7.46465?\nAnswer: 8.187174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 124.2 - 124. Sort r, -5\/2, -3.1.\nAnswer: -3.1, -5\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -10\/31, -8.6, 2\/7, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Is (-874)\/(-8) + 16\/(-64) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14.2 - -84.2. Let r = -201 + v. Let h = r - -96. Which is the third biggest value? (a) h (b) -3 (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t**3 - 3*t**2 + 4. Suppose 3 = -h - a - 2*a, 3*h = -2*a + 5. Determine b(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -48*z**4 + 174*z**2 - 95*z**2 - 199*z**4 - 76*z**2 + 29 wrt z?\nAnswer: -5928*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = v**3 - 30*v**2 + 125*v + 83. Give h(25).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1029*k**3*m**2*w + 2*k**3*m**2 - 18*k**3*m + 2*k**3*w - 7*k**2*m*w + k*m**2*w + m*w - w wrt m.\nAnswer: -2058*k**3*w + 4*k**3 + 2*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 17 and 188.\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 2 + 3)*(128*b + 165 - 233*b + 126*b - 42*b) in the form r*b + v and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 - 6*x + 5*x - 9 - x to the form i*x + w and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eewv when four letters picked without replacement from vwevwwvwwvvvwweevw?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 13166 (base 7) in base 13?\nAnswer: 17b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 10*p**3 - 4*p + 7. Let m(a) = -5*a**3 + 2*a - 4. Determine 5*m(o) + 3*r(o).\nAnswer: 5*o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 87959.\nAnswer: 87959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**3 - 19*b**2 + 5*b + 494. What is v(19)?\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 322 - 308. Solve 4*h + d + 14 = -d, h = 3*d + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 351, 358, 365, 372, 379?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 135212 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 44 divide 5820056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -100 - -96. What is the closest to -2\/5 in 3\/7, -1\/10, o?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1535292 and 1980.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -2*(-51)\/(-18)*(-99 - -96)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*y + 4*y - 6*y)*(-385*y**3 + 3235*y**3 + 140*y**3 - 4*y + 4*y).\nAnswer: 5980*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/(-14))\/((-6)\/7).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -20 - -26. Calculate the least common multiple of 3 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -481, -1731, -3815, -6733, -10485, -15071, -20491?\n\"Answer: -417*j**2 + j - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p + 11. Let i be t(4). Suppose -i = -2*r + m, -r = 2*r + 2*m - 40. Let k(z) = z**3 + 2*z**2 - z. What is the remainder when r is divided by k(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18169 is divided by 149?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -2*q + 5. Let i(h) be the first derivative of -3*h**2\/2 + 9*h - 231. Calculate -3*i(o) + 5*v(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v - 169*x + 166*x = -27, 0 = 2*x + 4 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7034 is divided by 176?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69 + 37 + 54*g**3 + 196 + 2*g**2 + 158 - 55*g**3.\nAnswer: -g**3 + 2*g**2 + 460","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x + 2 - 10. Suppose 0 = -x*t + 3 + 1. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 12*k**5 - 40*k**5 + 10*k**5 + (5*k**3 + 3*k - 3*k)*(k**2 + k**2 + 0*k**2) + (0*k**2 + k**4 + 0*k**2)*(2*k - 4*k + k).\nAnswer: -9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13*o**2 + 5*o + 5 - 5 wrt o.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2 - -1)\/((-9)\/(-12)). Let m be (d\/(-30))\/(2\/3). Let i = -2 - -2.4. Which is the biggest value? (a) i (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 113557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1491?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 8*x**2 + 843 - 396*x - 398 - 444 in the form t + p*x + m*x**2 and give p.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 27 - -188a06?\nAnswer: 188a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 361605365 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**33\/(((c**6*c)\/c)\/c))\/(((c\/(c\/(c**(-40)*c)))\/c)\/c**25) assuming c is positive.\nAnswer: c**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 13*q**3 - 6*q**2 + 16*q - 28. Let r = 201 - 198. List the prime factors of k(r).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 2*p. Let z(l) = 195*l - 3*l**2 - 195*l. Calculate a(z(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -4*m**2 + 308*m - 304 = 0.\nAnswer: 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 226*i**5 + 1100*i**3 - i**2 + 66*i - 121 wrt i.\nAnswer: 13560*i**2 + 6600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*((h\/h**18)\/h)\/h*h)**32 assuming h is positive.\nAnswer: h**(-544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-12)\/(-2492))\/((-6)\/(-4)). Let i = -57955\/4984 + r. Find the common denominator of -1\/12 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 3 = 5. Suppose z + d*k = 79, -4*k = -3*z + 140 + 87. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3417 or 3577?\nAnswer: 3577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 40.62 plus -0.0539239?\nAnswer: 40.5660761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1318423 (base 10) in base 6?\nAnswer: 44131451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 297165 to the power of 1\/2, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = -2*h - 2*x, 76 = 5*h - 12*x + 15*x. Calculate the remainder when 53 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.15 and -13.82?\nAnswer: 15.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-67 - (-30 + 19)) + (-1 - -11).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w**3 + 27*w**2 - 8*w - 12. Is 42 a factor of g(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.695 + 1.695. Which is the fourth smallest value? (a) p (b) 5 (c) -0.28 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 166 - (-62 - -64) - 101?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 0 - 4 = 0. Let x = 0 + h. Let b(y) = -8*y + 33. Calculate the remainder when x is divided by b(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes after 9:09 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = -15 - -4. Suppose 0 = 2*m - 25 - 5. Let x = m + i. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 2659*m**3 - 567*m**2 - 2*m. Let t(l) = -2654*l**3 + 567*l**2 + 2*l. Let s(d) = 5*q(d) + 6*t(d). What is the third derivative of s(p) wrt p?\nAnswer: -15774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**3 - 11*w**2 + 10*w - 22. Let p be k(-12). Suppose 46 - 166 = -24*v. Solve -g - v*h = -24, g + 8 = -p*g + 5*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35 at least as big as -17.7255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(2\/(32\/(-12))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 3*d**2. Suppose 5*g + 0 = 10. Let q(n) = -2*n + g*n + n + 2*n. Determine q(a(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is j in j**4 - 71*j**3\/2 + 449*j**2\/2 + 1620*j + 1800 = 0?\nAnswer: -3, -3\/2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t + 74 = -20*t + 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-3)\/(-2))\/((-3)\/(-8)). Suppose 0 = 2*r - q*r + 16. What is the smallest common multiple of r and 13 + (-3)\/(-1 + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 13.4656 * -30.45\nAnswer: -410.02752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -85506 divided by -3\nAnswer: 28502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*p**4 - 21*p**3 - 18*p**2 + 36*p + 24 = 0 for p.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.1 - 2.9. Let a = 7 + f. Sort a, 0.4, 4\/3 in ascending order.\nAnswer: 0.4, 4\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1014 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1802)\/(-102) - 20) + 4\/(-6)*62\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Put 21, 16, -93, 1 in descending order.\nAnswer: 21, 16, 1, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 215840 or 215890?\nAnswer: 215890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -5253149 divided by 12907?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 48229*i**2 - 9432 with respect to i.\nAnswer: 96458*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 8898391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10.62 - -1.82. Let r = m + 8.84. Let h = 0.1 + -0.4. Which is the third smallest value? (a) r (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 13 = -2*h - 0, -11 = -h + 3*d. Sort -2, -7, h in ascending order.\nAnswer: -7, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 63266.08cm?\nAnswer: 632.6608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -137*b + 20 = -142*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:52 AM and 10:10 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -184, -508, -1094, -2080, -3604, -5804, -8818?\nAnswer: -12784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1500358 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -k**4 - 19*k**2 + 25*k - 8 - 10*k**2 + 7*k**2 + 11*k**3 - 5*k**2 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6.81 + 2.81. What is the smallest value in 3, m, 6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 67210 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -27 - -22. Sort 0, 1.6, g.\nAnswer: g, 0, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((3\/(-2))\/(-1))\/((-2)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 11:59 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 2*o = 2*f - 13, f - 5*o - 17 = 0. Let k be (-21)\/7 - (-52)\/f. Let r = -16 + k. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 - 12 = -2*x. Suppose r = x + 1. Suppose 4*p - 28 = -0*p. Calculate the remainder when r is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37411 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 3, q: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 2455a (base 16) to base 5.\nAnswer: 14230301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 726 and 1936.\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0\/(-11) + ((-2)\/(-8))\/(9\/36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.31 and -3?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 55.2 + -55.4. Which is smaller: q or -435?\nAnswer: -435","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*g**2 + g + 2*g - 331 - 371 - 10.\nAnswer: 8*g**2 + 3*g - 712","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 152*n + 485*n**3 - 480*n**3 - 152*n.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*l**2 + 3*l**2 + 0*l**2)*(1 + 2*l - 1 + (1 + 2 - 1)*(-61*l - 70*l + 43*l) + 4 + 2*l - 4) as o*l**3 + q + t*l + p*l**2 and give o.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -9185 greater than or equal to -9187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 472 and 8134094.\nAnswer: 32536376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be (17\/3)\/((-4)\/(-12)). Calculate the highest common divisor of y and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1686708881?\nAnswer: 11, 13, 41, 47, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3075 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1184483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3535360 + -3535085.980288. Let i = v - 275.02. Let l = i - -1. What is l rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-234)\/(-4)*(-400)\/(-600)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*p**4 - 9*p**3*s - 12*p - 22*s wrt p?\nAnswer: -36*p**2 - 54*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -2*q**2 - 23*q + 36. Let b be u(-13). Let l be (b\/(-2))\/(1*(-9)\/48). Put 0, l, 1, -1 in decreasing order.\nAnswer: 1, 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-36)\/30)\/(-6) + 2619\/5. Let y = p + -521. Factor -1\/2*d - 1\/6 - 1\/2*d**2 - 1\/6*d**y.\nAnswer: -(d + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 112843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 1191510008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 35509745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(2) + -6*sqrt(32) + -4))**2.\nAnswer: 1656*sqrt(2) + 9666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 242377300 rounded to the nearest 100000?\nAnswer: 242400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 892369155 to the power of 1\/3, to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111011111011001 - -1101011111?\nAnswer: 111101100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-553*f - 140*f - 1071*f)*(-6*f**2 - 4*f**2 + 36*f**2) to the form v*f**3 + o + i*f**2 + l*f and give v.\nAnswer: -45864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 945.42895 plus -138.6?\nAnswer: 806.82895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 - -2 - (0 - 1). Suppose 0 = -2*j - a + 14, -8*j + m*j = 5*a - 35. What is the remainder when j is divided by 9 + 25\/(-7) + (-9)\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:24 PM and 4:20 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8 in 0.5, -13, -97, -0.02, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/4*(-7)\/175*-70?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k\/(k*k**(-4)*k))\/k**1)\/((k*k\/((k\/(k\/(k*k\/k**1))*k)\/k))\/k)**(-10\/17) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (5 - 8) + 0 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 10) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - (1 + 0)) + 4 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 154, 27 in decreasing order.\nAnswer: 154, 27, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1209.76 and -0.068?\nAnswer: -82.26368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 332200 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -1\/10, 61, -0.4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 3132810 divided by -45\nAnswer: -69618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the second derivative of o**8\/56 + o**7\/7 + o**4\/6 + o**3\/2 + 55*o. What is the third derivative of b(l) wrt l?\nAnswer: 120*l**3 + 360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 324114 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = 5*r + 26. Let u = r - -23. Calculate the smallest common multiple of u and 13 - (2 - 1)*-1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 125 + -104. Let w be (-1)\/(5\/5) + q. What is the highest common factor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + g + 3)*(421*g + 426*g + 11 - 840*g) as h + u*g**2 + x*g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3132 + 13034?\nAnswer: 20210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**2 + 19*j + 29. Calculate a(19).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*d**3\/3 - 404*d**2\/9 - 809*d\/9 - 170\/9.\nAnswer: -(d + 2)*(d + 17)*(21*d + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u = -3*d - u + 20, -2*d - 3*u = 12. Suppose 5*g - 2*f - f = 10, d = -2*g - 4*f + 30. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 3175225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15870105 is divided by 1553?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -10*b + 133. Let n(z) = z + 6 - 13 - 2*z**2 + b*z**3 + 8. What is the remainder when 35 is divided by n(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = 4*k - 4, -3*u + 0*u = -3*k + 3. Suppose u = 5*o + 3*a - 18 - 2, 3*a + 4 = o. Solve 0 = 3*q - 2*q + o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11151 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 168 and 84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**3 + 7*p**2 - 10*p - 11. Let i be s(-8). Suppose 0 = i*k - 5*v - 30, k - 5*v + 0*v = 6. Solve -5*m - 5*h + 4 = -k, 0 = -2*m + h + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((6204\/11)\/12*1)\/((-3)\/3).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-3861)\/12)\/(-9)*(2 + 2). Let h = 1 + 12. Calculate the highest common factor of t and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -3, -389, 14, -5 in decreasing order.\nAnswer: 14, 3, -3, -5, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are 170124 and 170124 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be 33 + 120\/(-1380) + (-136)\/23. Solve -16*z = -28*z - y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vvwv when four letters picked without replacement from nnmmcnwcnwcvnvvcn.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -2*u - 3. Suppose 0 = -3*r + p - 4 + 10, 2*r = 3*p + 4. Let q be (-3 - -2)*(r - 1). Let g(s) = -s. Calculate q*l(v) + 3*g(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -92484.2 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -2*u - 20. Let d be y(-10). Which is greater: d or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3 - -2)\/4)\/((-1)\/2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 436 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: Round -202422.748 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence seep when four letters picked without replacement from spssesepsp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -15, 10, 0.3, -2, 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y be -3*(-3 + 4) + 4. What is the remainder when (39 - y) + (-2 - -6) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the second derivative of 5*b**4\/12 + 3*b**2 + 2*b. Differentiate o(u) with respect to u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 13265010, 13265012, 13265014, 13265016?\n\"Answer: 2*h + 13265008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*z = 27*z - 78. What is the lowest common multiple of 45 and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 558024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((38\/(-3))\/19)\/((-1)\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mrrm when four letters picked without replacement from {r: 7, k: 9, m: 2}?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b = 2*k + 20, 0 = 3*k - 5*b - 21 + 47 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 5*u = 3*i + 7, 2*i - 3*u + 1 = 0. Suppose g - 2*h = i, h = g - 2*h + 1. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 15. Let f(d) = -d - 16. Let s(g) = 3*b(g) + 2*f(g). Calculate the remainder when s(-19) is divided by (-360)\/(-14) + (-4)\/(-14).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -2 - 10 + 3*m + 11. Suppose 37*y - 45*y - 16 = 0. Give a(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (32\/(-1248))\/(2\/12)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the third derivative of 0*z + 0*z**5 - 1\/28*z**8 + 0*z**7 + 0*z**6 + 0 + 7\/8*z**4 + 25*z**2 + 0*z**3. What is the second derivative of f(v) wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.4, 2, 0, -1\/2, 16\/11, 58, 173?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in 33, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 5a4618 (base 16) in base 11?\nAnswer: 3380a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 15 - 35561278?\nAnswer: -35561263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -282 - -1000676598?\nAnswer: 1000676316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3.9 + -7920.\nAnswer: -7916.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3424417 is divided by 2682.\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 11448, 22902, 34368, 45852, 57360, 68898, 80472, 92088?\n\"Answer: p**3 + 11447*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**3 - 41*a**2 + 371*a + 225. Give z(-48).\nAnswer: -1455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 56195108 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -52 + 6 + (3 - (-1 - 0)) - -11\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1264, -1267, -1286, -1327, -1396, -1499, -1642?\nAnswer: -1831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9398 is divided by 71.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 19? (a) 2 (b) 0.9 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 396 = -0*l. Let h = -94 + l. Sort h, -3, 19 in descending order.\nAnswer: 19, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.06 (b) 1231 (c) -266\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 4 = 5*t, -26 = -5*l - t. Suppose -l*u + 10738444 = -7711556. Round u to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n + 28 = 2*h, -3*n = -12*h + 17*h - 7 - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand j - 4*j**4 - j + (0 - 5 + 0)*(2*j**4 + 0*j + 0*j) - j**4 + 0*j**4 + 4*j**4.\nAnswer: -11*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -20*v**5 + 2*v**2 - 17*v wrt v?\nAnswer: -400*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1, 1\/2, 47?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12347, 49391, 111131, 197567?\nAnswer: 308699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1129, 1126, 1123, 1120, 1117?\nAnswer: 1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -136.00593 + 0.00593. Which is smaller: f or 7\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**2 + 3*y - 3. Let h(s) = 2*s**2 + 4*s - 3. Let i(p) = -2*h(p) + 3*v(p). Let q be ((-3)\/9)\/((-1)\/9). What is i(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 76173, 158919, 241665?\nAnswer: 324411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2453 and 446.\nAnswer: 4906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 375109134\/11 or 34100830?\nAnswer: 34100830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15933 is divided by 2272.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 1914*s - 120523. Calculate n(63).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.002446723 rounded to six decimal places?\nAnswer: -0.002447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 63341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -59*l**2 + 84*l + 3. Let w = 60 + -59. Let u(s) = -s**2 + s + 1. Let j(d) = w*v(d) - 3*u(d). Find the second derivative of j(g) wrt g.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 48118?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 340 + -356. Suppose -4*n - 5*b + 78 = 0, 3*n - 15 = 4*b + 28. Let w = c + n. Solve -3*a + 4 = w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:37 AM and 10:02 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -310960853*b + 310960853*b + 1318*b**3.\nAnswer: 1318*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4\/118797 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 222 and 518.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 141362480 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -2 * 121\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -737 - -739. What is the biggest value in u, -20\/3, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 986031 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2369*s + 1517 = 2410*s for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + -73 + 53 + -15.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 2*w**2. Let g(l) = -4*l**2 - 12*l. Determine o(g(p)).\nAnswer: 32*p**4 + 192*p**3 + 288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 6 + -7136154?\nAnswer: -7136148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/((-75)\/(-40)))\/(6\/(-30)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1024 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 times 985?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-8 - 11 - 6)*(238193 - 238197 + 2*c**3 + 7*c**3 - 7*c**4) as p*c + n*c**4 + t*c**3 + v + x*c**2 and give t.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 128549 = 5*i, -2*i + x - 26897 = -78340. List the prime factors of i.\nAnswer: 25717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**12\/(y*y\/y**(-6)*y))**(6\/19)*y**(-4\/3)\/(y*y\/(y\/(y*y**(4\/5))))*(y*y**(-5\/3)\/y)\/y**1 assuming y is positive.\nAnswer: y**(-556\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 17\/41 - 433\/451. Which is the smallest value? (a) x (b) 5 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 8 - 18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -45*a**3 + 71*a**2 + 2*a - 5. Let h(r) = -17*r**3 + 24*r**2 + r - 2. What is 8*h(d) - 3*n(d)?\nAnswer: -d**3 - 21*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**3 - 28*i**2 + 29*i - 60. Suppose -p - u - 3 = -6*u, 2*p - 24 = 5*u. Calculate x(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bovb when four letters picked without replacement from opvbtby?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2206822906 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 26889 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/(-4) + 15\/6. Let t(a) = -6 + 2*a**u + 6. Let d(q) be the third derivative of q**5\/30 + 2*q**2. Give t(d(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be (3\/28)\/(488\/(-160) - 476\/(-170)). What is the second smallest value in 294, -5, 5, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-15)\/((-1080)\/96))\/(((-5)\/6)\/5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 2*j**2 - 4*j + 3. Let s be o(2). Let k(h) = h**2 + 8*h + 4. Let g be k(-8). Let x(m) = -m**2 + 7*m - 4. Let q be x(g). Solve v - q = s*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2197826432.\nAnswer: 2, 2897, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-20)\/(-25))\/(-7*(-18)\/315). Solve 0 = -3*t - f*w + 4*w + 9, 5*w + 3 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11 + -4. Let q = n + 19. Solve q*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.854848ms in minutes?\nAnswer: 0.0000475808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 726.4 (b) -190 (c) 2 (d) -18\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 4 = -t. Suppose 3*c + 5*a = -43, 4*c - 4*a = -0*a - 4. Let h = t - c. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 8*r - 296. Let k = -66 + r. Let -37*b**2 + 28*b**4 + k*b + 27*b**5 - 47*b**5 + 9*b**2 + 12*b**3 = 0. Calculate b.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*n + 7812 = 2392. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -8*o + 4*o + 5*o - 39 + 1 in the form y + k*o and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (2*i - i + 3*i)*(i - i + 2*i + (0 + 1 + 0)*(2*i - i - 3*i) + i + 0*i - 2*i) in the form h*i**2 + s*i + y and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -845 - -1614. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 303097\/18 - 16845. Calculate the common denominator of z and -64\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y + 1. Let u(s) = -5*s - 4. Let w(r) = 4*m(r) + u(r). Let i(d) = -4*d - 6. Determine w(i(o)).\nAnswer: 4*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 - 73*k**2 + 2472*k - 36. List the prime factors of j(44).\nAnswer: 2, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/3, -1\/80, -3, -7 in ascending order.\nAnswer: -7, -3, -4\/3, -1\/80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 3*v**2 - 1 + (6 + 1 + 7)*(5*v**2 - 4*v**2 - 7*v**2).\nAnswer: -87*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 135103 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 15 - (3 - -32 - 50)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Expand (0*q - q + 2*q + (-5*q + 4*q + 2*q)*(4 + 1 - 3) + 5 + q - 5 + 10*q - q + q)*(2*q**2 - 3*q**2 + 2*q**2) + (-2*q**2 + q**2 + 3*q**2)*(3*q + 2*q - 6*q).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 2 - 3)*(4*v - 16*v - 30*v) to j + q*v and give q.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 4*f - 4 = 3*n, 5*n - 2 = f. Let i = -38 + 37.7. Suppose 0 = -5*k + 3*k + 10. Which is the biggest value? (a) f (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10111 (base 2) in base 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -53994, -216071, -486192, -864351, -1350542, -1944759, -2646996, -3457247?\n\"Answer: l**3 - 54028*l**2 + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -22 + 23. Suppose 7*u - h = 8*u. Let m = u - -28. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6845 - -6844.99982252. What is f rounded to six dps?\nAnswer: -0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/(-3)*(-60)\/(-57 - -37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of (-4)\/6 - 390\/(-18) and (4\/(-18))\/(10\/15)*297\/(-3)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 20*o**2 + 18*o + 17*o - 50*o + 17*o in the form k + u*o + h*o**2 and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0 + 2 + 0 - ((-3 - -12) + -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-1)\/(1\/3))\/(39\/(-26)). Let q(n) = -4*n + 16*n - n**2 - s + 10*n - 5*n. What is the units digit of q(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + (-1 - 2 - -14) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/20*4*(-24)\/(-32).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = t + 25*x - 20*x + 23, 21*t - x - 156 = -533 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 99750089 to the power of 1\/2, to the nearest integer?\nAnswer: 9987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14 + -15. Let b be (21 - 6)\/(u\/(-7)). Suppose b = 2*p + 5*g, 0 = 4*g - 5*g - 3. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - k - 5 = 0, -3*y = -4*k + 8*k + 7. What is the remainder when 31 is divided by y - (2 - (0 + 19))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 times -4130\nAnswer: 20650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1024110 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 99, 208, 317?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3476967665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -220 (base 8) to base 5\nAnswer: -1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f**2 + 2*f**2 - 2*f**2)*(4 - 5 + 11) + 2*f**2 - 6*f**2 + f**2 - 2*f + 2*f**2 + 2*f.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = m. Suppose m = -2*c - 4*b - 12, -c + 6 = b - 5*b. Is (c\/3)\/((-2)\/159) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y - y - 4 + 2)*(-3*y - 8*y - 4*y).\nAnswer: -30*y**2 + 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -55, -99, -133, -157, -171, -175?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/2)\/((1\/36)\/(38\/57)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-8)\/(-5))\/((-8)\/(-260)). Suppose -2*g - 4*c + n = 0, -107 = -5*g - 3*c - 5. Let y = g - 6. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes after 6:47 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 11.188455 months?\nAnswer: 0.00093237125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 546, 1090, 1634, 2178, 2722, 3266?\n\"Answer: 544*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 0 + -9 + (9 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-910)\/9455 + -27*(-40)\/(-32940).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -186*p**2. Let l(c) = 74*c**2. Suppose 4*z + 25 = -19*v + 18*v, -35 = 3*v + 4*z. Let w(m) = v*y(m) - 12*l(m). Let b(r) = -8*r**2. Determine b(w(k)).\nAnswer: -14112*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5360*t**3 - 2*t**2 + 11*t - 7.\nAnswer: -32160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 1903*u. Let v(q) = 7*q**2 - 2. Calculate v(m(r)).\nAnswer: 25349863*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 110421 (base 12) in base 7?\nAnswer: 2203444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*v - 195 = 7*v. Are v and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 3*r - 7*r**2 - 7*r - 2 - 2*r - 2*r**2 + 1. Let s(c) = -c**2 - c. Let a(x) = x**3 + 6*x**2 + 6*x - 1. Let z be a(-5). What is z*s(u) + q(u)?\nAnswer: -3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand ((5*v**2 + 6*v**2 - 2*v**2)*(-4 + 4 + v) + (0*v - 2*v**2 + 0*v)*(-2 + 2 + 2*v))*(4 - 7 - 1).\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the third derivative of q**4\/8 + 4*q**3 + 2534*q**2. Suppose 3*b = -3*t, -2 - 2 = 3*t + 4*b. What is the tens digit of n(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-24 - -2) + 20 + -5 + -25 + 19?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 307 and 222435929.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0334823 + 0.2?\nAnswer: 0.1665177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3409 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 8 = -4*w - s, -4*s = 5*w - 5. What is the remainder when (2 + w\/(-9))*12 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110*g - 35326 = -127*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/2315340 and -13\/2052?\nAnswer: 6946020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -305 - -1103. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/122, 0.07, -1 in descending order.\nAnswer: 0.07, -1\/122, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 157 in -2, 73, 0.3?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 475 is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 538 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.7863 + -3.7863. What is the smallest value in -0.75, -4, -0.1, -0.3, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the first derivative of 1\/14*m**4 - 8\/7*m - 10 + 0*m**2 + 2\/7*m**3. Factor z(u).\nAnswer: 2*(u - 1)*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.674 in 0.2, 2, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let 4*i**2 - 18*i**3 + 12*i**4 - 13*i**3 + 15*i**3 = 0. What is i?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 121160 (base 7) to base 16\nAnswer: 561b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 32481191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u**3 - u**3 + 0*u**3 + (u**2 - 4*u**2 + u**2)*(0*u + 0*u + u) - 4*u**3 + u**3 + 2*u**3 + (-2*u**2 + 1 - 1)*(-u + u + 3*u).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p - 3*l = 1729 - 1693, -8 = -p - l for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 31538 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(2) - (sqrt(48)\/sqrt(3) + sqrt(16) + sqrt(16) + sqrt(16))\/sqrt(8)) + 4.\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3 - 621.\nAnswer: -621.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18, -25, -34, -45, -58?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**3\/5 - 808*a**2\/5 - 1646*a - 4140.\nAnswer: 2*(a - 414)*(a + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x. Let h(y) = 0*y + 4*y**2 - 5*y - 2*y**2 - y**2 + 6. Let v(g) = -h(g) - 5*r(g). Let i(p) = p**2 + 11*p - 17. Let a be i(2). What is v(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 111 divide 27429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = u + a, 0*u = -3*u - 5*a + 17. Which is smaller: -1\/47 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 14\/4 + 9\/(-18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 285364908 to the nearest integer?\nAnswer: 16893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 2 = 10, 150 = 3*n - 3*m. What are the prime factors of n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53*s**2 - 16*s**2 - 3*s**2 - 16*s**2 - 21*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 69676, 137642, 205608, 273574?\n\"Answer: 67966*s + 1710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {h: 14, d: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 189583 - 189399.101. Let i = l + -182.9. Round i to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -281*v - 1253 = -102*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -816*s + 4082 = 8162 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 737.6278 nanometers in millimeters?\nAnswer: 0.0007376278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4309 + -4306. Solve -2*u + 10 = 5*d, 3*d + 10 = j*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -100*r**2 - 30*r - 3. Let u(v) = 27 + v**2 - 43 + 15. Let f(a) = -c(a) + 3*u(a). What is the second derivative of f(x) wrt x?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**2 + 12*c + 5. Let n be t(12). Suppose h + 17 = -n*l - 2, -3*h + 3*l = 21. Let d be (6\/h)\/((-386)\/(-78) - 5). Solve 4*r = d + 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-5)\/(-3))\/(2\/6). Solve -2*p = -7*p - d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(133) + -2*sqrt(133)*5 + (sqrt(133) + (3*sqrt(133) - sqrt(133)))*2)\/((-2*sqrt(2541) + sqrt(21))\/(sqrt(81)\/sqrt(3))))**2.\nAnswer: 171\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h + 17 = s, -4*h - 43*s + 37 = -38*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor z**3 + 60550*z**2 + 544859*z - 605410.\nAnswer: (z - 1)*(z + 10)*(z + 60541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -3*t - 2*t - 3*t - 24 + 4*t + t**2. What is the tens digit of z(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1 + 2\/(-2)*263. Let z = k - -3404\/13. Let i = -934 + 929. Which is the third biggest value? (a) -3 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/6 and -77\/87.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-80)\/(-3))\/((-4)\/(-12)). Calculate the highest common factor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -156 + 75. Let b = 34 - i. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -588 - -535. Which is smaller: j or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.076903 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z - 2 - 4 = 0. Let s be 16\/192*(-1 - z). What is the second smallest value in -0.1, -2\/11, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o + 1. Let l(k) = 5*k**2 - 3*k - 4. Determine -l(h) - 4*n(h).\nAnswer: -5*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 12892 and 1503793786.\nAnswer: 6446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -7 (b) 28 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the third derivative of -p**9\/120960 + p**8\/13440 - p**7\/5040 - p**5\/60 - 2*p**2. Let w(n) be the third derivative of y(n). Solve w(m) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 5 = -31. Let z be 3\/c - 10\/(-8). Calculate the remainder when 14 is divided by -2 + (-1 - -6) + z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) 10.6 (c) -565 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 333 = 4*z + b, -24*b = 2*z - 22*b - 162. Suppose 3*v + 66 = z. Calculate the lowest common multiple of 34 + 1\/(-2)*2 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -3 + (-2*sqrt(2299)*-2*4 - (sqrt(2299) + -1 + 3 + 2))**2.\nAnswer: -1320*sqrt(19) + 517290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -1\/1405?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/21*(-21)\/102\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -103*w + 440 = -123*w for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3.2 - 1.8. Let y = 4.8 + n. Let b(h) = -6*h**3 - h**2 + h + 1. Let p be b(-1). What is the closest to y in -0.1, p, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 7\/35 + (-349)\/70 and -37\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/2, 2, -9, 0.5, -0.3 in decreasing order.\nAnswer: 2, 3\/2, 0.5, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2449601053.\nAnswer: 769, 3185437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9 - (44 - (-22 - -42))) + 2 + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z - 4. Let a be -3 - -2 - z\/2. Which is bigger: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t - 3*f = -80, -3*t - 15337*f + 15342*f - 64 = 0 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the first derivative of o**2 + o - 6. Suppose -g + 1 - 3 = 0. Let n = g - 0. Give v(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-5)\/10*2 + -4 - 2. Is 2*m\/14*-3437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 5 + -4 + (-3 - -1) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t + 2, -2*v + 3*t + 53 = 3*v. What is the remainder when 28 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 166332.95 + 1051432.\nAnswer: 1217764.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -17572 + 33613. Suppose 5*k + 25 = 0, 6*z - 3*k - y = 3*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 277 or 669?\nAnswer: 669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 24.51 and -0.1?\nAnswer: -2.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*o**2 + 6006*o - 3006003.\nAnswer: -3*(o - 1001)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -n**2 + n + 1. Let i(a) = -3*a**2 - 9*a - 4. Let w(x) = -i(x) - 4*z(x). What is the second derivative of w(h) wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 75 = 3*h, -5*u + h - 4930 = -4880 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 6*x**3 - 62*x**2 + 16*x + 40 = 0.\nAnswer: -2\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 2*a**2 - 7*a + 2. Let m be w(7). Calculate the highest common factor of m and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = v - 2*q - 13, 15*q - 91 = 17*v + 20*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3450\/(-1035)*2\/(-15).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 8 - (-70 - -83)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*y - 10*y = j + 92, 4*j - 6*y + 44 = -2*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -13 + 25. Solve -5*r + 13 + b = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*h - 16*h + 159*h**3 + 49*h - 27*h**3 - 19*h.\nAnswer: 132*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 144 = -6*h. Suppose 930 = -12*q + h*q. List the prime factors of q.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 41931258*a*q*y**2 - 2*a*y**2 + 13*q - 663082*y**2 + 2 wrt a?\nAnswer: 41931258*q*y**2 - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 126 divide 159516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 23*c - 115. Let k be h(5). Suppose k*d - 13*d = 39. Let v(b) = -b**2 - b - 1. Determine v(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 16 and -14521.\nAnswer: -232336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 51345208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that 0 + 6\/13*o**4 - 6\/13*o**2 + 8\/13*o + 2\/13*o**5 - 10\/13*o**3 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = -20, -2*q + 0*q - 20 = 3*n. Let b = -8861\/10 - -883. Find the common denominator of b and -5 - n - (-230)\/28.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5 + ((-1674)\/190 - -4) and -27\/95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7893 and 152760245.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76)*-1 + -4)*2 + 2*(sqrt(1216) + 2*sqrt(1216) - sqrt(133)\/sqrt(28)))**2.\nAnswer: -688*sqrt(19) + 35195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8905 - -8905. Which is smaller: -2\/7211 or t?\nAnswer: -2\/7211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 10179 + -10173. Let u(d) = -3*d - 4. Let i(r) be the third derivative of -r**4\/12 - r**3\/2 - r**2. What is k*i(t) - 5*u(t)?\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 0 - 1)*(0*a**2 - 3*a**2 + a**2) + 4*a - a**2 - 4*a - a**2 + 0 + 0 + (a - 3*a + a)*(3*a + 0*a - a) - a**2 + 2*a**2 - 3*a**2)*(-12 + 40*a + 12).\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -314754065*b**2*c**2 - 60530*b**2 + 2147*b*c wrt c.\nAnswer: -629508130*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 556 and 19008667.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 57 + -61. Let u be (6\/z)\/3 + 2034\/36. Let h be 2\/(-16) - (-119)\/u. Solve 0 = x - h*k - 3*k + 20, -2*x = 4*k - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 335289392?\nAnswer: 2, 20955587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10 + 13. Let s = -8 - -5. Let q = 2.9 + s. Is k smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 620850109 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*n**4 + 8*n**2 - 8*n**2 + (n**2 - 3*n**2 + 0*n**2)*(n**2 + n - n).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 divided by 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 3*y = 5*y + 221, -3*k = -3*y - 129. Calculate the remainder when 295 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, k: 5, i: 1, t: 2, m: 2, p: 6}. Give prob of picking 1 m and 1 i.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -v**2 - 23*v**2 - 10 - 12 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in -21.6, 5\/9, -57\/5, 5?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -32 + 2 + 25 + -1 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 333 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.23 + -0.39. Let s = q - 0.9. Is 0.1 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*o**2 + 3 - 16*o**2 - 3 + 0*o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.249753 tonnes in micrograms?\nAnswer: 249753000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g*g**1)**(-3\/17)*(g**(-1)*g)**(-1\/61) assuming g is positive.\nAnswer: g**(-9\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18.741 + -18.741. Let g = 450.07 - 463. Let k = 13 + g. Which is the nearest to r? (a) -1\/5 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -57*v**2 - 259*v**2 - 5*v**4 - 22*v**5 + 8*v - v - 7*v wrt v?\nAnswer: -1320*v**2 - 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 115.0441 + -115. Round s to 3 decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 5\/(-2 - -1) - (-66 + -40 + 115)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 6 = -p, -p - 4 = 2*p + 5*h. Let q(m) = 2*m**p - 4*m - 3*m**2 - 1 + 11*m**3 - 3*m**3. Is q(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor p**3 - p**2 - 5*p - 3.\nAnswer: (p - 3)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 6*z**2 + 169*z + 93. Calculate l(-28).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in ten thirds of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 15891 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**3 + 5*q**2 - 3*q + 11. Let s be j(-6). Let a(o) = 1 + 3 + 8*o + o**2 - 3*o**2 + 4*o**2. List the prime factors of a(s).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*l - 4*l + 14*l)*(0*l**3 + 4*l**3 + 0*l**3).\nAnswer: 56*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -152\/7*c + 2\/7*c**2 - 312\/7.\nAnswer: 2*(c - 78)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 108797 = 9*w - 525604. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5331165704?\nAnswer: 2, 251, 2654963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3121602 divided by 66.\nAnswer: -47297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -0.4 (b) 3 (c) 3\/7 (d) 74 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 28 divided by -1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -l**2 + 134*l + 2292. Let a be k(148). What is the highest common factor of a and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**2 - 88*y + 491. Give q(-82).\nAnswer: 983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 65*n**2 - 13*n - 13. Let r(d) = d**2 - d - 1. Give 2*a(p) - 26*r(p).\nAnswer: 104*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 663 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**3 + 5*c**2 + 13*c + 7. Let d be z(-2). Let r(w) = -w - 7. Let v be r(-3). What are the prime factors of 1 + (-330)\/v + d\/14?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 55 = 5*r - 5*d, 5*r - 3*d + 464 = 507 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r + 2*r + 5*r)*(8*r**2 + 2*r**2 + 2*r**2).\nAnswer: 108*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 2*w**2 + 8*w + 8. Let f be p(-5). Let n = -18 + f. Solve n = -2*z - 0*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72687737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (5 - 9)*(-1 + (-3)\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -886 + 225. Let w = r + 2084. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1535 = 3*w - 8*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (4\/(-3))\/(10\/15). Let p be -33*1*(o - 22)\/4. Calculate the highest common divisor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1479 + -9.4?\nAnswer: 1469.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -30386 greater than or equal to -334230\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 22.02789ug?\nAnswer: 0.00000002202789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 8*u - 180. Suppose 6*c - u = 2*c. Let l = -6 + c. Solve 2*x + 3*o - l = -30, x = -5*o - 28 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 344761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g = 5*z - 17, 2*g - 10 = -3*z - z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b. Let f = -40 - -43. Suppose -23 = -f*q - 17. Let x(k) = q*k - 5*k - 395 + 395. Calculate x(d(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrj when three letters picked without replacement from {r: 3, j: 12, l: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-18)\/4*2604\/(-31). Suppose 0 = -4*a - 5*g + u + 90, -2*a = -4*g - 208. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -693.14 and 1.7.\nAnswer: -1178.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 212 and 2014?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -116, 4, -811 in decreasing order.\nAnswer: 4, -116, -811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 70*a + 16*a - 215 = 43*a. Let q = 5 - -22. Suppose 4*i - q = -5*c + 13, -2*c = 4*i - 28. Solve 5*w = i*y, 0*w - a*w + 4*y = -5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b = y + b + 20, 2*b + 20 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -2\/31531?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17 + -7. Suppose 4*y - 13 + 37 = 4*x, 2*y = 4*x - 16. What is the third derivative of x*u**3 - p*u**3 + 15*u**3 - 12*u**2 wrt u?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 14*y**2 + 27*y + 1. Let d be j(-2). Suppose -d*t + 5*i - 5165 = 0, -t - i = -5*i + 1724. Round t to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g**2 + 4*g + 4. Let v be n(-8). Suppose 7*t - v + 1 = 0. Solve u + 2*b - 8 = 0, t*u - 2*b + 12 = b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6787 + -4422. Let h = p - 1290. Let l = -1074.99469 + h. Round l to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 461*a**2 - 930*a**2 + 466*a**2. Let d(y) = 57*y. Give d(r(o)).\nAnswer: -171*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = 10601 - 10193. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -697\/7 + 99. Which is the closest to 2\/3? (a) q (b) -0.4 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -164899 <= -659599\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 107650*k - 1507083. Give v(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1985*(1\/(-5) + 1). Suppose w + d = 5*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the third derivative of -4*z**7\/105 + z**3\/3 - 7*z**2. What is the derivative of y(o) wrt o?\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes after 9:45 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (7 + 115 - -7) + -5 + (13 - -5 - 0)\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) -0.2 (b) 1.4 (c) 0.3 (d) -1.35 (e) -1 (f) -5\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p and 1 j when three letters picked without replacement from {v: 1, p: 5, y: 1, d: 3, j: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -3*k + 17. What is v(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -h**2 - 12*h - 8. Let v be z(-11). Suppose -8 = v*i - 14. Let k(u) = u + u**i + 2 - 1 + 1. What is k(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 + 1 + 4 - 0) + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/16 and -11\/244.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1 + -2 + 261)\/((-13710)\/(-4566) + -3). Round o to the nearest one thousand.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = 4*x + 5*o, x - 4*o - 4 - 16 = 0. Let h(p) = 3*p + p**3 + 3 + 6 - 2*p. Calculate h(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.07 (b) 1\/2 (c) -37 (d) 4 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -54, -131, -210, -291, -374, -459?\n\"Answer: -b**2 - 74*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 1\/24 of a minute?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = h - 27 - 10. Let m be 786\/9*3 + 4. Let p = 673 - m. Calculate the greatest common factor of p and h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r - 1 = -2*n + 5, -2*r = 3*n - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 5*c - 5*c + c**2 + (-4*c + c + 2*c)*(-c + c - 2*c) + (9*c**2 + 24 - 24)*(-3 - 1 + 5) as k + w*c**2 + h*c and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 11*c - 14. Let f(u) = -u + 1. Let t(j) = -3*f(j) - q(j). Let i(w) = 4*w - 6. Determine -11*i(h) - 6*t(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 2)*((1 - 1 - 1)*(2*o - o - 2*o) + 4*o + 4*o + 4*o).\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*d = -4 + 29, 0 = -5*n - 4*d + 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.3, -1.2, -0.0573?\nAnswer: -0.0573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 5, x: 2}. Give prob of sequence xdxd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6814, -6823, -6832, -6841, -6850, -6859?\nAnswer: -6868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v = -4*r + 4, 5*r - 2*r - 3 = -2*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + 16 + -6 + -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 443 - 223. Let f = 221 - u. Are -11 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -14*u**2 - 7*u**2 + 25*u**2. Let l(m) be the first derivative of -m**3\/3 - 1. Determine k(l(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-85)\/30*(-627)\/(-22). Is -82 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 101 + -74. Let h(c) = o*c - 14*c - 11*c. Let t(s) = -9*s. Let m(f) = -9*f. Let q(z) = 4*m(z) - 5*t(z). What is h(q(j))?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6175, -12348, -18525, -24706, -30891, -37080?\nAnswer: -43273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3*((-2)\/3 + 0). Is (-10 - -13) + 461*t*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z**4\/9 - 4232*z**3\/9 - 1150714*z**2\/9 - 2288740*z\/9 - 380752\/3 = 0.\nAnswer: -1796, -318, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + -1*sqrt(252) + sqrt(252))*4 - ((sqrt(175) + -1*sqrt(175) - sqrt(175))*6 + -2))**2.\nAnswer: -1080*sqrt(7) + 6624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -83 divided by 2?\nAnswer: -83\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 + -38?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 - 2 - 4 - 3*a - 2.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 8502 = 9*i - 6*i, 5*i + 5703 = 2*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 140132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = -3*a - 3, -4*a + 2*u + 9 = 3*u. Suppose 9 = a*k + 3. Solve -2*i - 3*x = -20, -k*i = -4*i - 2*x + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the second derivative of 1307*u**8\/56 - u**7\/42 - 4547*u**4\/12 - 23*u + 61. Find the third derivative of j(q) wrt q.\nAnswer: 156840*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h + 4. Let w be z(-2). Find the third derivative of -w*m**2 - 3*m**6 + 0*m**2 + m**6 + 5*m**6 wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -2 + 550\/(-88) + (-3)\/4. Put -4, -2, -3, m in descending order.\nAnswer: -2, -3, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dny when three letters picked without replacement from ddyggytygdddegdn.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**3 - 4*m**2 + 103*m - 52. Let k be z(8). Solve 5*a + 2 = 3*v, -56*a = -57*a - 3*v - k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 - 6*x**2 - 6*x - 5. What is l(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -132494 divided by -2?\nAnswer: 66247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in 3\/7, -2, 0.12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(13)*3*5 + sqrt(13))**2.\nAnswer: -6656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a + 10 = -2*a. Solve -a*p - 2*o - 9 = -p, 0 = -p - 3*o - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -3*c, 4*u - u + 4*c = 3. Suppose 10 = u*h - 0. Suppose 3*m = -h*s + 33, 0 = -4*s - 5*m - 0*m + 67. 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: How many minutes are there between 11:10 AM and 12:40 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 13*q - 10*q - 18 = 0, -2*q = a - 7. Solve -a = 3*u + 5*f + 1, 0 = -5*u - 5*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 11*h**3 - 43*h**2 + 28*h - 19. Let n(c) = 2*c**3 + 7*c - 4. Calculate -a(o) + 4*n(o).\nAnswer: -3*o**3 + 43*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.387 - -2.317. Let w = 37900.0531 - 37902. Let b = m + w. Round b to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.2 - -0.7. Let n be 69\/12 - (-2)\/8. Let z = 5 - n. Which is the closest to z? (a) u (b) 1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -a97250 (base 14) in base 13?\nAnswer: -1261417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1320009305 to the nearest integer?\nAnswer: 36332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*v**5 + 156*v**4 - 855*v**3 - 1416*v**2 - 420*v = 0. What is v?\nAnswer: -14, -1, -2\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t**3\/4 + 15507*t**2\/4 - 61955*t - 139419 = 0. What is t?\nAnswer: -2, 18, 15491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -323*b + 3554. Let f be x(11). Let i = 1 + 4. Suppose 0 = 3*k - i*k - 5*c - 26, -2*k - 4*c = 22. Put f, k, -5 in descending order.\nAnswer: f, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 11 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 3 - 1)*(-z + z + 4*z**2)*(-2*z**3 - 4*z**3 + 3*z**3 + (2 - 5 - 1)*(0*z**3 - 8*z**3 + z**3)).\nAnswer: -300*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 5, -2\/531, -2.2, 3\/8, 2\/13, -6\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -37*s**2 - 53*s**2 - s + 645*s**6 + 116*s**2 + s wrt s.\nAnswer: 77400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 + 321e?\nAnswer: 3223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p = 3*r + 2*p - 17, -p = -5*r + 11. Suppose u = -5*o - 5 - 15, -o - 4 = r*u. Solve g + 4 + 1 = u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the second derivative of r**7\/70 - 5*r**4\/24 + 3*r**2\/2 + r. Let g(c) be the first derivative of u(c). What is the second derivative of g(w) wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7684492 is divided by 1324?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 55 - 73 - (-7 - (-3 - (4 + -4))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9 + 2*u - 2 + 25 + 31 to r*u + m and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2251, 581, -7\/8, -0.2.\nAnswer: -2251, -7\/8, -0.2, 3, 581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 222408223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 2 + 1)*(-548*p + 548*p + 39*p**3) + (-4*p**2 + p**2 + 2*p**2)*(-1 + 1 - 2*p) in the form j*p**3 + v*p + b*p**2 + x and give j.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 18 = 4*k, -k + 3*k = 2*i - 6. Let c(f) = -f + 4. Calculate c(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 3981120 and 5.\nAnswer: 3981125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w\/(w**(-1\/24)*w))*w)\/(w*w\/(w*(((w**(-18)*w)\/w*w)\/w)\/w*w)*w) assuming w is positive.\nAnswer: w**(-433\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -2099.43*14.2\nAnswer: -29811.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 25 = -v, -v - 3*v = 5*q + 25. Let f be 2\/(v - 2)*-35. Let u = 65 - f. Calculate the greatest common divisor of u and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/3*a**2 + 0 + 1\/6*a**3 - 5\/6*a.\nAnswer: a*(a - 5)*(a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jzsjjsjlhljlj. What is prob of picking 2 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/25 of a millimeter in micrometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10 - 6. Let x(v) be the third derivative of 1\/6*v**s + 0 - v**2 + 0*v + 0*v**3 - 1\/10*v**5. Determine c so that x(c) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -313, -29, 1 in ascending order.\nAnswer: -313, -29, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93 + 118 = 5*v. Suppose -1 = 5*f + 4*m - 3, 5*f = -v*m. Calculate the least common multiple of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1916*n + 18697 - 1453 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(1701)*1*-4)\/(6*(sqrt(3) + (sqrt(96)\/sqrt(4))\/sqrt(8)))*6.\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1506062 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 5*o - 63 = 0, 20*o - 19*o - 105 = -5*d. Calculate the smallest common multiple of (5*1)\/((-1)\/(-12)) and d.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*b - 15 + 23 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3025 is divided by 31 + 3*(8\/(-28) + (-2)\/42)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 1166*o**3 + o**2 + 32*o - 38. Is a(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 16479, 32973, 49467, 65961?\nAnswer: 82455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1335.94 - 1339.23935. Let z = -37.7 - -34.4. Let d = i - z. Round d to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -9 - -9.03. Let n = 0.27 + u. Let o = -7712 - -7713.5. What is the smallest value in o, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the second derivative of -b**7\/420 - b**6\/60 - b**5\/30 - b**3 + 5*b. Let i(g) be the second derivative of p(g). Solve i(j) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 4*y = -10*d + 36, 16 = 3*d + 2*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 78*y + 11. Let u(s) = 2*s**2 - s - 5. Let h be u(0). Let i be w(h). Let d = 11 - i. What is d rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 + 15. Let a(p) = 10*p - j*p - p**2. Let d(l) be the third derivative of -l**5\/60 + 3*l**2. Determine d(a(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 11767900 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -86 - 70. Let w = 465 + u. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((m - 2*m + 3*m)*(m + 19*m + 4*m) - 3*m**2 + 0*m**2 + 6*m**2)*(1 - m + 1 + 2*m).\nAnswer: 51*m**3 + 102*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cccpcdqaccqpaqpdapdc. Give prob of picking 2 q.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6165 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**3 + 52*v**2 - 530*v + 3231. Calculate w(41).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2. Let p(y) = -211*y**2. Give i(p(g)).\nAnswer: 44521*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 12312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 66645 and 720.\nAnswer: 1066320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1311 - -2206. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2 - 1123042*t - 4492136.\nAnswer: -2*(t + 4)*(t + 561517)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (109 - 8*d - 26 - 121)*(9*d**3 - 3*d**3 - 12*d**3) as q*d + t*d**3 + i*d**4 + n + v*d**2 and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -6867314*r + 6867434*r - 7440 = 0 for r.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (31 - 13 + 5)*(0*n - 3*n + 2*n).\nAnswer: -23*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-2)*(-10 - -14)*-1. Let 2\/9*m**3 - 2\/9*m**5 - 4\/9*m**2 + 0 + 0*m + 4\/9*m**p = 0. Calculate m.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -751, -743, -735?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 146 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be 6 - 1\/6*18. Solve -3*x + 2 = -s + 15, 5*x + d*s + 17 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/8, 1\/7, 0.033876, -2\/9 in descending order.\nAnswer: 3\/8, 1\/7, 0.033876, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -247, -13, -4, 7.\nAnswer: -247, -13, -4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rjjjrjjjjjjjjjjjjjjj. Give prob of picking 2 j.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*m = 3*m + 40. Let w = m + 79. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uluuhuull.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = 0, 0*i = 5*i + s + 50. What is the least common multiple of 10 and ((-5)\/((-75)\/36))\/((-3)\/i)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 + -19 + -17 + -1 - (1 - -4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x - 5*m - 16, -5*x + 8*m = 4*m - 38. Solve -2*c = 5*k - 23, -c + 3*k - 22 = -x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 254 = 3*q, 148 = 3*w - 3*q - q. Suppose -4*h = 9*h - w. Suppose 0*z - h*z - 5*s = 8, -5*z = 5*s + 10. What is the nearest to -0.2 in 4, z, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -229 + 233. Suppose 28 = h*a + 3*q, -q = 4*a - 0*a - 20. Solve -3*j = -a*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 32\/(-16)*10\/8*(-10)\/25\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 2*o + 515 = -1203, 0 = -5*u - 3*o + 8551. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1951264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b - 3*b + 2*b)*(-3 + 2 - 29)*(-4*b + 4*b + 5*b + (4*b - 2*b + 0*b)*(4 - 3 + 1) + 2*b - 3*b + 3*b + 4*b + 0*b - 2*b).\nAnswer: -390*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-93))\/((-2)\/(((-2)\/(-56))\/(199\/5572))).\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14478221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand c**5 - 2*c**5 - c**5 + (-c**3 - c**3 + c**3)*(c**2 + c**2 - c**2) + 2*c**5 + c - c - 4*c**5 + 3*c**5 + 3*c**5 - c**5 + 9*c**4 + 2*c**5 + 3*c**4.\nAnswer: 2*c**5 + 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes after 5:15 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 121891160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*r**6 + 4*r**4 - 208702*r**3 - 2*r**2 + 1166671*r + 5.\nAnswer: -600*r**3 + 96*r - 1252212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-6)\/(-18) - (-5962)\/6)*1. Let j = q + -332. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -2, 0, 3\/8, -2.2, -0.7, 1\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 33102 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -91*n + 3*r + 10 = -96*n, -6*n + 32*n + 110 = -4*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -28107*n - 17*n**2 + 28107*n + 10*n**2. Let k(l) = -l - 28. Determine b(k(j)).\nAnswer: -7*j**2 - 392*j - 5488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 644 + -585. Calculate the greatest common factor of v and 1829.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 181384175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-three thirds of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*c + 606 = 2*p + 4*c, 2*p - 4*c = 604. Is (-27852)\/(-66)*p\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-56)\/(-8) - 7)\/(0 + -1). Solve -24 = 12*z - d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -44 + 53. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1\/8 (b) -4 (c) 739\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 30 and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = -2*z - 1, -44*z = 3*a - 43*z - 22. Let x(d) = d - 7. Let v be x(7). Suppose -54 = -3*j - v*j. Calculate the highest common divisor of a and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, 4, 1245\/11, -1, 3\/29, 3\/4?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f + 786 = 5*f - 3*o + 919, -13*f - 3*o = -193 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -7*t + 780. What is the highest common divisor of 52 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 4546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 12 = 2*v - 4*v, 0 = 2*v + 2*x - 10. Let g = v - -694. Let s = -481 + g. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -1070*j - 28081. What is w(-26)?\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: 71048 divided by -4\nAnswer: -17762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.3 + -2.3. Let o = -308.3 - -307. What is the nearest to 4 in x, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 489 in 0.244, 1\/4, -0.06, 1, -2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 19082*f + 352 = 9544*f + 9546*f for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 - 86c2?\nAnswer: -86c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-24)\/(-30)*(-40)\/(-112). What is the nearest to h in -0.3, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20)\/25 + 44\/(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (72\/(-21))\/4*14\/(-336)*6.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w + 1. Let u(f) = f**2 - 11*f + 11. Let m(s) = -22*c(s) + 2*u(s). Let v(z) = -13*z. What is m(v(x))?\nAnswer: 338*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.1531 times 12\nAnswer: 1.8372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z - 5*f - 302 + 27, 5*f = 3*z - 169. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the third derivative of -179*v**6\/120 + v**5\/6 + 4285*v**4\/24 - 31*v**2 + 3. Find the second derivative of b(m) wrt m.\nAnswer: -1074*m + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 111 + -113. What is the nearest to 5 in 2\/15, o, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 105 - 734\/7. Sort 0.4, -3\/5, 5, u.\nAnswer: -3\/5, u, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 83 = 3*m, -7*d + 2*d - 130 = -5*m. What is the remainder when 40 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -107166 divided by -112\nAnswer: 53583\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(156) - -3*sqrt(156)) + sqrt(156))\/sqrt(4) + sqrt(195)\/sqrt(180))\/(sqrt(15)\/(sqrt(5)*-1 - sqrt(5)) - -2*sqrt(363)))**2.\nAnswer: 12493\/16641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from bhxcnenbxbcnchb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -10 + 13. Suppose -s + 2*s - o = 0. Let y(d) = 4*d**2 - d. What is the remainder when y(-1) is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1097, 1099, 1093, 1067, 1009, 907?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by -58.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 81 (base 9) to base 15.\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -16074247317 - 0.16\nAnswer: -16074247317.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -32 + 68. Suppose 0*t + 4*i + v = 4*t, 0 = -4*t - 2*i + 24. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s**2 + 13*s - 14. Suppose -31 = -3*l - 5*a, 3*l + 5*a - 17 = 7*l. Calculate the lowest common multiple of w(11) and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2\/335 + 664\/1005. Let c = 11\/3 - 3. Factor t*b - c*b**3 - 2\/3*b**2 + 2\/3.\nAnswer: -2*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 0.095, 0.5, 3 in ascending order.\nAnswer: 0.095, 0.1, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.4, -5\/6, 1, -38, 3\/4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(65) + (sqrt(65) + (sqrt(65) - (sqrt(65) + sqrt(65)*-1 + sqrt(65) - sqrt(65)))*1 - sqrt(65)) + sqrt(65))\/sqrt(5).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 + -686?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*a**2 + a**3 + 3*a**2)*(-4 - 5 + a + 6)*(5*a - a - 2*a).\nAnswer: 2*a**5 - 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 43*w + 66*w = 75*w + 1258 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -3*p**3 + 2*p**2 - 9*p + 1. Let q(w) = 10*w**3 - 7*w**2 + 27*w - 3. Let d(n) = 4*q(n) + 11*x(n). Let u(r) = -r**3 + r**2 - r. Give d(s) + 6*u(s).\nAnswer: s**3 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8325 and 17928165?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence awl when three letters picked without replacement from awhhxlk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 390 = -5*p - 5*r, -5*p - 21*r - 345 = 27*r - 52*r for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 7 and 338.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o + 4*x - 14, -2*o - 20*x - 6 = -16*x. Is (o - -2)*(-1774)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - c + 2)*(22*c - 164*c + 470*c).\nAnswer: -328*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -13162 or -13032?\nAnswer: -13032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 2*c**2. Let v(w) = -w - 1. Let t(u) = 20*u**2 + 10*u + 10. Let y(o) = t(o) + 10*v(o). Determine p(y(i)).\nAnswer: 800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cecccarv. What is prob of picking 1 r and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 5*x + 18. Differentiate -12*v**4 + 6*v - 9 - x*v - v**4 with respect to v.\nAnswer: -52*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 22946375 to the nearest integer?\nAnswer: 4790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**2\/3 + 136*f\/3 + 354.\nAnswer: 2*(f + 9)*(f + 59)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 3, p: 3, t: 2, d: 4, h: 6}. What is prob of sequence dht?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 582 + -252. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 31083 and 2067?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*v = -37 + 26. Does 18 divide 3036\/((-30)\/(-5)) + v*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23777 (base 12) in base 9?\nAnswer: -72451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be 140 + 4 + -8 + (-12 - -12). Calculate the greatest common divisor of 34 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 27*h - 19. Let t = 293 - 292. Let q be v(t). Solve -6*o + q*o - 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((5*f + 0*f - 3*f)*(3 + 3 - 5) + (-36 - 9 - 12)*(-3*f + 2 - 2)*(1 - 1 - 1) - 2*f + f + 0*f)*(-5 + 2 + 4).\nAnswer: -170*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.0410405 and -0.1?\nAnswer: 0.00410405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the first derivative of 13*l**6\/120 + l**4\/24 - l**3\/6 + 3*l**2\/2 + 1. Let h(b) be the second derivative of j(b). What is the units digit of h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 246?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (4*y**2 - 2 + 2)*(2*y - 4*y + 0*y) + 28*y**3 + 5394*y**2 - 5400*y**2 + 111*y**3 as s + m*y**3 + o*y + u*y**2 and give m.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes before 9:18 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 171*b**2 + 3*b - 168*b**2 - 276*b**3 + 364*b**3 to i + v*b**3 + u*b**2 + g*b and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 130 + -129. Is -5 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by -1448\nAnswer: -3\/1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 2*h - 7*h = 15, 0 = 5*w + 2*h + 6. Suppose -2*s + 6*s - 5*a - 153 = w, 0 = -5*s - 3*a + 182. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**2 - 42*m - 117. Let r be g(-43). Let u = 746 + r. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.172 + 0.172. Let w be 16\/(-7) - 4\/(-14). Let t = -0.1675 + -0.2325. Which is the nearest to -2\/5? (a) t (b) f (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ryryyuuruyuy. What is prob of picking 3 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1689652*x**3 + x**2 + 363*x - 1094 wrt x?\nAnswer: -10137912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000850183266 to 5 decimal places.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1738 and 89270.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in x**3 + 0*x**3 + x**3 + 4*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of 0*s - 1\/30*s**5 + 0 + 0*s**3 + 0*s**4 - 3*s**2. Let x(k) = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 121010 (base 3) to base 15\nAnswer: 1e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3975 greater than 3986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -54\/7*a**4 + 0 + 0*a**2 - 180\/7*a**3 + 0*a + 2\/7*a**5 = 0.\nAnswer: -3, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 120 and 70557310.\nAnswer: 846687720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = 44 - 46. Sort -1, 14, c, 3 in descending order.\nAnswer: 14, 3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lhllashsvhlhshvvaah. Give prob of sequence hva.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 842, -17, 5 in descending order.\nAnswer: 842, 5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -4*u - 13*v + 15*v, -9 = -u - v. Solve u*n - 4 = -4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14693841223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -62\/13894713 and -121\/43227996.\nAnswer: 389051964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 589.6*-0.1.\nAnswer: -58.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 435359.\nAnswer: 435359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -24 - -30. What is the least common multiple of 8 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (214\/8)\/((-51)\/(-612)). Let m = o + -358. Do -47 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 219*p + 2*a = 222*p - 190439, -32 = -4*a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = l**2 + 3*l + 2. Let o be s(-4). Let h be (4 - 3) + (4 - (o + -3)). What is the derivative of -24*b - 7*b**h + 24*b + 7 wrt b?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**12\/h**(-47) assuming h is positive.\nAnswer: h**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.018808908 to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17969?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -353, -693, -1045, -1415, -1809, -2233, -2693?\nAnswer: -3195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) 1242\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2536889547?\nAnswer: 3, 27847, 30367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - -2)*((-114)\/(-18) + -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -39*a + 59162 - 57992 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1496, -5969, -13430, -23885, -37340, -53801, -73274, -95765?\nAnswer: -121280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -9, -7\/5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 86, 84, 46, -46, -210, -464?\n\"Answer: -3*k**3 + 19*k + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the second derivative of d**6\/360 - d**5\/60 - d**3\/3 + 2*d. Let y(w) be the second derivative of i(w). What is the second derivative of y(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1678679861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -10*l - 4. Let s be c(-6). Let x be ((-63)\/s)\/(3*-1). What is the smallest value in -4\/5, 4, x?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-225)\/(-100)*(0 - 24\/(-2)). Calculate the greatest common divisor of a and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -52\/13413?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-1))**(4\/7)\/((n\/n**(-2\/5)*n)\/(n\/n**(-1))) assuming n is positive.\nAnswer: n**(-34\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -22 or -2681515?\nAnswer: -2681515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -2*w**2 + 10*w + 5. Let u(z) = -z**2 + 5*z + 3. Let m be 6*(9\/(-6) - -2). Let c(a) = m*v(a) - 7*u(a). Let n = -25 + 30. Calculate c(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -5*f + 6. Let s(v) = -6*v + 6. Let o(q) = 4*s(q) - 5*x(q). Let y be o(5). Put y, -2, -5 in ascending order.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 58136 and 3193008.\nAnswer: 41509104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 59544569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 13197630 and 14973.\nAnswer: 92383410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 71516844 by -189.\nAnswer: -378396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 304*b**2 - 1742*b - 1. Let o(j) = 3*j**2. What is g(o(w))?\nAnswer: 2736*w**4 - 5226*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes after 7:33 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 148 is divided by 79?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -28*a + 57*a - 32*a - 4*a**2 + (a**2 - 2*a**2 - a**2)*(4 - 3 + 3).\nAnswer: -12*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(63)\/((sqrt(84)*-2)\/sqrt(12) + sqrt(7)))\/(sqrt(432) - sqrt(432)*-2*5).\nAnswer: -sqrt(3)\/132 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a**3 - 17*a**2 - 489*a - 117. What is z(-15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1331941 times -0.5?\nAnswer: -665970.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 132 and 2684.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -42 and -1258957?\nAnswer: 1258915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1471 + 4240 = 13*g. List the prime factors of g.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n*n**(1\/18)))\/(n*(n**3*n)\/n*n) assuming n is positive.\nAnswer: n**(-91\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = 10 - 0. Let d = -7644 + 7664. Let q be (d\/h - 6)*1*-110. What is the highest common factor of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4216799 is divided by 1405574?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-44280)\/(-168))\/(-15) - (-27)\/(-63)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 775.37 + -1098.26. Let k = -325 - f. Let v = k + 13.41. Round v to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + 1 + -42 + 44.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**1*m**1)\/(((m\/(m*m**1)*m)\/m)\/(((m*m\/(m*m**5)*m*m)\/m)\/m)) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 113114793, 113114792, 113114791, 113114790, 113114789, 113114788?\nAnswer: 113114787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 430*l - 43*l**3 - 421*l - 2*l**2 - 6*l**3 + 2*l**2 to f + a*l + o*l**2 + k*l**3 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x**2 - 3*x**2 - 7*x**2)*(10 - 11*x - 19 + 7).\nAnswer: 88*x**3 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -23, -1, 2199.3 in decreasing order.\nAnswer: 2199.3, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -3*j**2 + 74*j + 37. Let q be f(25). What is the greatest common divisor of 1056 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2152 = 3*l - 7*l. Let r = -268 + l. Calculate the highest common divisor of 30 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 384, 768, 1152, 1536, 1920, 2304?\nAnswer: 2688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -250 - -395. Let u = -226 + q. Let b = 87.4 + u. Round b to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -732 in 1\/39, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 281459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*i + 3*i**3 - 4*i + (1 + 1 + 0)*(0*i + 11*i**3 + 36*i**3 + 2*i).\nAnswer: 97*i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -0.2 (c) -2\/13 (d) -914 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/243846 and 37\/21390?\nAnswer: 1219230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -39177967 < -39177966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -6 less than 568930?\nAnswer: 568936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b\/((b*(b*b\/(b**(-3\/8)\/b*b))\/b)\/b))\/b**14)\/(((b\/(((b\/(b**1*b))\/b)\/b))\/b)\/(b**(-5\/8)*b)) assuming b is positive.\nAnswer: b**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -25301, -25290, -25253, -25178, -25053, -24866, -24605, -24258?\nAnswer: -23813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 397924534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -18 - -25. Suppose 0 = v - 0*y - 2*y - w, 0 = -3*v + y - 4. Let c(z) = -z**2 - 45*z - 295. Let l be c(-37). Put -2, l, v in ascending order.\nAnswer: v, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the first derivative of s**6\/120 + s**5\/15 - s**4\/6 - 5*s**3\/6 + 9*s**2\/2 + 8. Let x(a) be the second derivative of y(a). Give x(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(72))**2*-6.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1214, 1538, 1906, 2318?\nAnswer: 2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 179 is divided by 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -247cd0 (base 14) to base 2.\nAnswer: -100110001011011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 143396595 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -319246*k**2 - 491911 with respect to k.\nAnswer: -638492*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9 - -14. Solve -s*x = -4*c - 4, 0*c + x + 8 = 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(243) + 1) + 1*sqrt(243) + 4 + sqrt(243) + -3 - ((sqrt(243)*-1 + sqrt(243) - sqrt(243)) + -5 - (sqrt(243) + 0 + 5))*-5)**2.\nAnswer: 13860*sqrt(3) + 50653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((6\/(-25))\/(4\/30*-6))\/(16926\/(-1085)).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 84 = 7*c. Suppose -c = 4*m - 320. Calculate the remainder when m is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*j + j + j)*(48*j + 169*j - 54*j).\nAnswer: -326*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1490 and 9710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -2*j**3 + j**2 + 18*j + 21. Calculate q(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5501392.\nAnswer: 2, 13, 26449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -12028613 times -6.8\nAnswer: 81794568.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 36*x + 0*x + 38*x to l + y*x and give y.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3851977 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2.4 - -61.4. Let z = -59.097 + x. Round z to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 2) + (0 - 0) - (-35 - (1 - 43)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -3*b**3 + 230*b**2 + 77*b + 372. Let z be j(77). Solve z = 40*o - 164*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.4 + 0. Let f = -10879\/2 - -76159\/14. Which is the closest to -0.4? (a) f (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*y + y + 7*y - 4*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 83, 222, 451, 770, 1179, 1678, 2267?\n\"Answer: 45*b**2 + 4*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -69 + 71. Solve 4*b = 2*c - 6, 3*c - 2*b - l = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 527 - 319. Let m = q - 208. What is the third smallest value in m, 4, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -19*x**4 - 3*x**3 + 21*x**2 - 3*x. Let a(r) = r**4 - r**3 - r. Let n(f) = 3*a(f) - y(f). What is the third derivative of n(b) wrt b?\nAnswer: 528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 35 = 9*c. Solve 3*f - 5*i = 12, c*f + 4*i = 3*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -69*z - 76*z + 2 - 61*z + 312*z - 81*z - 65*z.\nAnswer: -40*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 354*k + 5. Suppose x + 4*x + r - 454 = 0, -4*x + 356 = -r. Let n = -87 + x. Is d(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((-4*-1*sqrt(187))\/sqrt(11) - (((sqrt(561) - -1*sqrt(561))\/sqrt(11))\/sqrt(3))**2)*3.\nAnswer: -36*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*x**3 + 134475*x**2 + 1344295*x + 1209825.\nAnswer: 5*(x + 1)*(x + 9)*(x + 26885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 496130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 13*w - 3. Determine t(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - (9 + -13) - (1 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 3*y. Let f(x) = x + 3. Determine l(f(g)).\nAnswer: 3*g + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 795052367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(152)*6 - -5*sqrt(152)*-1)\/((sqrt(8) - (2*sqrt(32))\/sqrt(4)) + 1*sqrt(512)).\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 795 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -491715 (base 11) to base 4.\nAnswer: -2331332313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 27800 and 1400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2035 and 11.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -77.6 + 77.8. What is the closest to -12 in -3, -0.07, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 562*l + 2339*l + 277*l as f + n*l and give n.\nAnswer: 3178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + 38 = -k. Let m = 60 + k. Solve 5*v - m = -4*f, -f - 5 = -v - 2*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 156.543 decades to centuries.\nAnswer: 15.6543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -5*p + 20, 2*p + 11 = 4*d + 1. Suppose 8*u - 9*u = 0. Suppose 5*i = -2*g - 19 + 82, u = p*i + g - 59. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 - 6. Let b be (14 - w\/(-1)) + -3. Suppose -v - b = -36. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28 - -33 - (-1 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -8296 - 2194.1957658.\nAnswer: -10490.1957658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(4*(-3)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-6)*l*l\/(l\/l**(-2\/23)) assuming l is positive.\nAnswer: l**(-117\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = 34 + -52. Let u = q + 58. Calculate the common denominator of u\/(-18) - 4\/(-18) and 35\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 4\/20435?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2.268, -1\/4, -1\/7, -0.2 in descending order.\nAnswer: 3, -1\/7, -0.2, -1\/4, -2.268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -196*2048.\nAnswer: -401408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1396, -1332, -1268?\n\"Answer: 64*g - 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -2*w - 277. Let q(y) = -11*y + 11793. Calculate z(q(l)).\nAnswer: 22*l - 23863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in -2\/13, -13\/5, 125.5, -3, 5, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00008007854 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 24835616 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/6 (c) -0.5 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -0.02 * 20.144\nAnswer: -0.40288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (6 - 0 - 0) + -2. Let l = 8 - k. Differentiate 4 + 0*f**l + 2*f**4 - 2 with respect to f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71.56993 hours in minutes?\nAnswer: 4294.1958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9505381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.3, 0.51, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -138*m**5 + 9*m**4 - 144*m**2 + 8*m?\nAnswer: -8280*m**2 + 216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1109617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rsirrsesrssxsiysr. Give prob of sequence re.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be (531 - 536)\/(-5*(-1)\/(-4)). Solve 0 = 4*p + 4*z - 17 - 15, 3*z = 2*p + u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqqqqqqqqwqqqqq. What is prob of sequence qqqq?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 579, 1157, 1737, 2319?\n\"Answer: i**2 + 575*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -3\/2 (b) 2 (c) -28 (d) -16\/39 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.5 - -0.3. Let p = v + 0.4. Suppose 3*n + 1 = 13. Which is the third biggest value? (a) 1 (b) n (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4847.9 + -4021. Let g = 853.68 + 17.32. Let o = b - g. Round o to 0 decimal places.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 133886*o = -l - 133881*o - 70, -3*o + o = 4*l - 28 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (16\/(-160)*5)\/(2\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-10)\/6 + (-176)\/(-48). Suppose -3*z + 37 = r*m, 2*m - 3*z + 17 = 3*m. Solve -v = -5*v + m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let i = 46 - 40. Let r(u) = 6*u**2 + 4*u**2 - 3*u**2 + 87*u - 82*u + 1. Let w be r(-1). What is the highest common divisor of i and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 27 = -6*k. Calculate the smallest common multiple of -2 + 0 + -1 + 11 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4336402 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2510\/4377 + 4295422\/2534283. Let g = 2\/193 - y. Is g >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 99 + -5. Let n = j + -94. Suppose 4*u + 7*d = 4*d + 1265, -u - 3*d + 314 = n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, -3, -5, -25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -1\/6, 4, -101, 255 in ascending order.\nAnswer: -101, -1\/6, -0.1, 4, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-3))\/(10\/(-12))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 + -2 + (-3 - -3). Let w = 1 - f. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1dee + -3f?\nAnswer: 1daf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 80913649\/6920 + -802443\/173. Let n = h - 7055. What is the common denominator of 17\/32 and n?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 500, 2030, 4580, 8150, 12740?\n\"Answer: 510*l**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -49471\/1256 - -315\/8. Let f = 0.6 + -1.6. What is the third biggest value in f, -5, -2\/11, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(12) + -2)**2 + (sqrt(147) + -1 - sqrt(147))**2.\nAnswer: -8*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7675 is divided by 1223.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 3*t**3 - 7*t**2 + 3. Let g(s) = 7*s**3 - 16*s**2 + 7. Let d(o) = -4*g(o) + 9*r(o). Let y(h) = -2*h**3 + 5*h**2 - 1. What is -5*d(x) + y(x)?\nAnswer: 3*x**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1.6 and -9937290?\nAnswer: 9937288.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*-5*(sqrt(68) + 2 - sqrt(68)) + -5.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(52) + sqrt(4212))**2*-3.\nAnswer: 15600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9090 and 39690?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-55 - 11)*(-2076)\/9. Let k = c - 7617. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -3 (c) -2 (d) 1\/3 (e) 1\/2 (f) -3575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.9609 and -5.55.\nAnswer: 5.332995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is ((3*-3)\/3)\/(((-2112)\/24)\/(-11))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 4, -104, -3, -4 in descending order.\nAnswer: 4, 3, -3, -4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, c: 1, h: 13}. Give prob of picking 2 h.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify r\/(r\/(r**(-16)\/r*r))*r**(6\/13)*(r**13\/r*r)\/(r**(-19)*r) assuming r is positive.\nAnswer: r**(201\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 177647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the first derivative of -a**4\/4 - 10*a**3\/3 - 5*a**2 - 7*a + 2. Let f(v) = -v - 15. Let u be f(-6). Let k be n(u). Solve k + 8 = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the second derivative of -g**4\/6 + 2*g**3\/3 - g**2 + 4*g. Suppose 70*b + 1042 - 1392 = 0. Calculate h(b).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 68983 - 68984. Let k be 1\/(7*(-3)\/39). Is z at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 570.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -8170 - -7099729\/869. Let b(q) = q**3 - q**2 - 3. Let j be b(2). Is l less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/105 and 67\/6.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 30477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 28 - -15. Suppose -p - 209 = -4*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6572 + -6526. Solve 10 = 51*n - j*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4731?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4*((-6279)\/(-196) + 20\/28). Calculate the greatest common factor of 524 and t.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is b (base 12) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 83209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 621093 is divided by 124203?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 - 18*h**2 + h**2 + 10 + 3*h.\nAnswer: -17*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 110 - 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 2*s**2 + 12794*s\/3 - 21340\/3 = 0.\nAnswer: -2134, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -5*q**2 + 750*q - 28125 = 0. Calculate q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 12 + 135 = 0. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 918350 - 7.2711?\nAnswer: 918342.7289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -28*a - 74. What is the remainder when u(-12) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -413 - -510. List the prime factors of i.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -239*d + 234*d - 3*l = -147016, 0 = 3*d + 3*l - 88218. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 418939773\/10 = 41893978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 2 r, and 1 j when four letters picked without replacement from jrjmhjjhqrjj.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 12614 by -2.\nAnswer: -6307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be -4*50*(-3)\/8. Let q = -43 + x. Suppose -p - p = -q. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1106*h**3 + 4*h + h**2 + 1103*h**3 + 0*h - 4*h.\nAnswer: -3*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*r - r**2 + 3*r)*(-81*r**3 + 76*r**3 - 13*r**2 - 5*r**2).\nAnswer: 5*r**5 + 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 28 and 10688?\nAnswer: 74816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000004969 rounded to seven dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1162 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 + -1 + (-1 - 102). Let c = n + 104. Solve c = 7*s - 4*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1, -9, -15, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18 and 2013644.\nAnswer: 18122796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s - 7 + 3 - 4)*(4*s**2 + 0*s**2 - 2*s**2).\nAnswer: 4*s**3 - 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -154 (b) -3 (c) 5 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-1)\/i)**(-17\/6)*(i**5*i)\/i**(6\/11))\/((i**(-7)\/i*i**(-4))\/((i*i*i**(-1\/3))\/i)**2) assuming i is positive.\nAnswer: i**(269\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1210, -2420, -3630?\n\"Answer: -1210*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 1952*w. Let a(h) = 2*h**2 - 3*h - 12445. Give a(m(y)).\nAnswer: 7620608*y**2 - 5856*y - 12445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 491*t = 493*t. Sort -744, t, 5 in increasing order.\nAnswer: -744, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 51.00555 grams to nanograms.\nAnswer: 51005550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 56 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 1552 - 124 = 0. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -2*g - 1. Let x(q) = -10*q - 62. Let j(d) = 4*u(d) - x(d). Calculate the remainder when j(12) is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.123 (c) -0.4 (d) -1\/5 (e) 0.5 (f) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.6 - 0.4. Let u = 1.1 + -1.13. Let y = u - 0.07. Put y, -0.2, q in descending order.\nAnswer: y, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (4\/(-5))\/((-54)\/135). Suppose -z*n + 6*n - 274 = -5*a, -n + 1 = 0. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) -3 (c) -33 (d) 2\/15 (e) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -20832 - -36332. Round j to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y = i + 7, 130*y - 133*y - 47 = -7*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = -4*a + 25, -2*u + 2*a + 1 = u. Solve -u - 1 = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 38322386 or 38322384?\nAnswer: 38322384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -7\/4 (b) 0.5 (c) 1.37 (d) -2 (e) -2\/3 (f) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -q**3\/4 - 11459*q**2\/4 + 17195*q\/2 + 11462 = 0.\nAnswer: -11462, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/737934 and -115\/54.\nAnswer: 6641406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 514660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 2*a. Let k(w) = 54*w**2. Calculate t(k(v)).\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 3\/13 (b) -1 (c) -3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -116549 minus -1?\nAnswer: -116548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 86*a**2 + 6705*a - 59419. What is l(-86)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 + -0.14. Let l = 1.66 - d. Let z = 8.8 - l. Is z greater than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u - 3*u - 3*u. Solve f + u = 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 31 + -22. What are the prime factors of 2*-8*f\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 154238 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/51 and 27\/187.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9418035 and 181500.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -5 (b) 4\/3 (c) 11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -77 + 1. Let l = n + 1. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 76*q**3. Does 19 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnnnnnnfnnf. What is prob of picking 2 n?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d**2 + 23*d + 171. Suppose -5*f - 4*k - 25 = 21, -f = 4*k + 22. Let l be g(f). Sort l, -1, 57 in increasing order.\nAnswer: l, -1, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 50093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 - 6f?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -63626324 divided by 4.\nAnswer: -15906581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 310224.\nAnswer: 2, 3, 23, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 4300215965?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-250)\/150)\/((18\/135)\/(-2)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 525173 to the power of 1\/2, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-11)\/(-7) - 1)*(-455)\/(-130). Let n = 10858\/11 - 986. Is i less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 82 - (77 + (9 - 43))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -311 divided by 93?\nAnswer: -311\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2422ed + 25?\nAnswer: 242312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 5*p**2 + 23*p. Let m(o) = 3386*o**2 - 70*o - 1142*o**2 - 1128*o**2 - 1130*o**2. Determine -11*c(y) - 4*m(y).\nAnswer: y**2 + 27*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -72 - -71. Let o(f) = 114*f**2 - 2*f - 2. List the prime factors of o(q).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*w + 2*w + 2*w)*(0 + 4 - 2) + (6 - 6 + 4)*(-1 - w + 1).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -1009*m + 13226. What is y(8)?\nAnswer: 5154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add -1551950506 and 0.25698.\nAnswer: -1551950505.74302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48*n - 1156 = -69*n + 1067. Solve -35 = 4*z - n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-19)\/(-3) - (6 - 3)) + -4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -341 - -353. Suppose -2*u + 5*r - 34 = -111, -4*r = -5*u + 184. What is the greatest common factor of w and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*v**4\/4 - 1401*v**3\/4 - 12933*v**2\/2 - 39123*v - 78570.\nAnswer: 3*(v - 485)*(v + 6)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from vmcmvvvqvk?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the second derivative of 40*h + 0*h**2 - 4\/3*h**3 + 0. Let j(d) = 4*d**2. Give j(k(x)).\nAnswer: 256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -472*z**3 + 3*z**2 + 146*z.\nAnswer: -2832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y + 17. Let f be ((-855)\/135 - (-4)\/3)*-3. What is g(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12856086823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -33502 or -33538?\nAnswer: -33502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2672*u - 2674*u + 6*z = z + 7, -2*z + 7 = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c\/c**(-3\/5)*c)\/(c\/(c\/(c**(1\/27)*c)*c)) assuming c is positive.\nAnswer: c**(481\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 113221758 is divided by 608.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -2*z**2 + 6*z - 26. Give v(9).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:04 PM and 5:55 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 9.305539km?\nAnswer: 930553.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1269537 divided by 6.\nAnswer: -423179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 137 times 204?\nAnswer: 27948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from ullclfuunuufffznn?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 2*k**5\/7 + 4*k**4\/7 - 26*k**3\/7 + 20*k**2\/7 = 0. Calculate k.\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is s in 18*s**5 - 246*s**4 - 364*s**3 + 52*s**2 + 122*s - 30 = 0?\nAnswer: -1, 1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (3 + (sqrt(704) - -2*sqrt(704)))**2.\nAnswer: 144*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(102)\/(sqrt(2) - sqrt(72)\/sqrt(4)))\/(sqrt(33)\/(sqrt(1331)*1 + sqrt(1331))))**2.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2951543.\nAnswer: 7, 557, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -2*s**3 + 16*s**2 - 22*s - 11. Let z be y(6). What is the common denominator of z + (142\/(-44) - -1) and -47\/26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11 - 6. Let d(g) = g - 9. Let x(w) = w - 8. Let u(q) = -5*d(q) + 6*x(q). Let y be u(c). Solve -l + 6 = y*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 55275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 219 a factor of 1382107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4*(-1 - (-30)\/28).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 76912, 76929, 76956, 76993, 77040, 77097?\nAnswer: 77164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 194963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000111851 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6738738 to the nearest integer?\nAnswer: 2596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = 119\/41 + -6199\/3280. Calculate the common denominator of 99\/4 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2*d + (2 - 2 + 2*d)*(-3 - 1 + 2) + 2 - 2 - 2*d + 5*d - 5*d + 7*d)*((-4 - 3 + 5)*(-7*d + d + 5*d) - d + 5*d + 0*d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 170 = 1831*o - 1814*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 220*y**2. Let h(f) = 16*f + 11. Suppose 3*j + 6 = -2*g - j, -4*g = 2*j + 36. Let a(i) = -6*i - 4. Let x(c) = g*a(c) - 4*h(c). What is z(x(n))?\nAnswer: 880*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 23648.91 rounded to the nearest ten?\nAnswer: 23650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 2 - 69)*(h**3 + 3*h**3 - h**3) - 3*h**3 + 2 + 4*h**3 + 1.\nAnswer: -233*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + (35 - 29 - (-9 - 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -480010*b + 4. Let l(g) = 6 + 39116*g + 56886*g - 6 - 1. Let f(c) = 28*l(c) + 6*p(c). Let a be f(-1). Round a to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 674 = -12*y + 662 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/5 - 28\/20. Let o(d) = -d + 1. Let r be o(k). Suppose -5*i = r*h - 44, i + 16 = h + 2*i. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j**2 - j**2 + 2*j**2)*(-10*j**2 + 2*j**2 - 3*j**2).\nAnswer: 11*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*b - 2*b = 2*b - 680 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3 + 28\/8)*(-5 + 223). Let p = -91 + m. Let w(k) = k**2 + 6*k - 1. Let t be w(7). Calculate the greatest common factor of t and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-18)\/a**(-1\/2) assuming a is positive.\nAnswer: a**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70716612 = -3*i + 3*d, 2*d = i + 7*d - 23572180. Suppose -4*h - i = h. Let n = 9014440 + h. What is n rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 - 2. Let w = -13 - 1. Let h = -13.5 - w. Which is the closest to h? (a) s (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-12)\/(-42))\/(16\/14). Let q(c) be the first derivative of 4\/3*c**3 + y*c**4 + 5 - 2*c**2 - 3*c. What is q(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46011118 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/5*v**2 + 8*v - 96\/5.\nAnswer: 4*(v - 2)*(v + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4408 and 82099?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -3*u**2. Let n(p) = -4*p + 0*p - 5*p + 14*p. Give t(n(m)).\nAnswer: -75*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3825.7? (a) -12 (b) 3\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 2924 divide 2085035316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -21 (base 3) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -496 - -495. List the prime factors of 138\/(((-7)\/21)\/r).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56450.\nAnswer: 2, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.45 + 0.3. Let c = -0.23 + -0.22. Let f = c - t. Sort 0.4, f, -1\/4 in descending order.\nAnswer: 0.4, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -3, -82 in descending order.\nAnswer: 3, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**3 - 73*p**2 + 209*p + 73. Let o be h(70). Let k be (-18)\/(-2)*(-2)\/(-6). Let b(w) = -w**2 + 2*w**2 - k*w - 4 + 6*w. Determine b(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.0133650139 + -13.0133643339. Let g = -13.09 - -0.09. Let z = g - u. Round z to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the first derivative of 0*q**5 - 37\/6*q**6 + 0*q + 0*q**3 + 39\/2*q**2 - 4 + 0*q**4. What is the second derivative of p(v) wrt v?\nAnswer: -740*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6 - 12. Let i(q) = -q**2 - 8*q - 7. Let w be i(g). Suppose w*j = 4*z - 289, z + 3*j + 44 = 112. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 57250495 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1 + 2 + -5 + (-6)\/(-1). Let m be (-48)\/(-32)*v\/(-9). Put -0.3, 0.3, m in decreasing order.\nAnswer: 0.3, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3122)\/(-1784))\/(-2 - 285\/(-140))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -31 + 2*w + 99*w**2 - 89*w**2 - 4*w + 2*w to s + q*w**2 + l*w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -f - 5*p + 10, -3*p = -f - 4. Let s(g) = -g**3 + 9*g**2 + 0*g**f - 6 + 6*g - 5*g**2. Let h be 1*6 + -1*1. Give s(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-2\/7))**(-15)*(i\/i**(-1\/4))**(-26)*(i\/i**(-2))**(-20\/7)\/(i**(-8)\/(i*i**(1\/8))) assuming i is positive.\nAnswer: i**(-1549\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the third derivative of -c**6\/300 - c**5\/75 + 7*c**4\/60 - 4*c**3\/15 - 5*c**2 + 3*c. Suppose z(y) = 0. What is y?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**2 - 3*q - 3. Let h = 4 - 7. Let r be (-2 - -3)*(h - -1). Calculate i(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 23631 - 15407. What is the greatest common factor of c and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - 2 - (-10 + 13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 230 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8 and 307.\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**3 + 48*n**2 + 4*n - 60. List the prime factors of a(46).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 180382134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 88193291 * -0.4\nAnswer: -35277316.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**3 - 5*w**2 + 3*w - 13. Let q be s(5). Let 3*t**q + t**2 - 48 - 25*t - 36*t + 57*t = 0. Calculate t.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 25483 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply -261 and 33.\nAnswer: -8613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 824.3 + -884. Let h = t - -8.7. Let d = 51.00018 + h. Round d to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(304) + (sqrt(304) - sqrt(304)*5*3))**2 + -4 + sqrt(19) + (2 + sqrt(19))**2 + 2 + 4.\nAnswer: 5*sqrt(19) + 51401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the second derivative of 5*a**4\/12 + 110*a**3\/3 - 705*a**2\/2 - 452*a + 1. Factor t(z).\nAnswer: 5*(z - 3)*(z + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 128 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1484461496.\nAnswer: 2, 7, 26508241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 1\/170 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -28 + 34. Suppose 0 = -0*a - 3*a - 3*u + 54, 0 = a + 3*u - 14. What is the lowest common multiple of a and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes after 8:31 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2236341 is divided by 1032?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2\/7, -1\/8, -0.193, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.13 + 4.13. Suppose 2*m = -2*m + 8. Which is the biggest value? (a) 1.1 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p - 0*p + t + 915, -3*p + 2*t - 915 = 0. Let d = 308 + p. Solve 0 = c + d*m - 12, -c = -m - 0*m + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -5*z - 8. Let g be v(-6). Let j = 22 - g. Let u be (-93)\/(-9) + 4\/6. Sort -1\/3, u, j in decreasing order.\nAnswer: u, j, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**2 - 144. Let u(r) = -3*r**2 + 15*r. Determine u(x(s)).\nAnswer: -3*s**4 + 879*s**2 - 64368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 62 (base 8) to base 15.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 162705225 and 25095.\nAnswer: 3585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(252)*-2*-4.\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -40059*f = -40064*f - 205, 0 = -9*o - 3*f - 123 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/38432016 and 52\/12709.\nAnswer: 38432016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.262 in 0.01, -2\/11, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*m**2 - 12*m**3 - 9*m**2 - 3*m**2 - 48*m**3)*(151 - 4*m - 151).\nAnswer: 240*m**4 + 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 27 and 243199?\nAnswer: 6566373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + b = 112. Let w(j) = -b*j**2 - 22*j**2 + 56*j**2. Let o(k) = -26*k. What is o(w(x))?\nAnswer: -156*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 50*d**3 - 9*d**2 - 41*d + 28. Let y(w) = 13*w**3 - 2*w**2 - 9*w + 7. Give 9*y(p) - 2*z(p).\nAnswer: 17*p**3 + p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k = -5*k. Which is the closest to -0.1? (a) k (b) -1 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/10*(-12 - -7). Suppose 4*b + 0*b = -2*k + 280, 0 = 5*k - 2*b - 712. What is the remainder when k is divided by p\/(3\/(91 + -4))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 21*i + 74. Calculate the remainder when z(6) is divided by 162.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1120*i - 3382*i + 1127*i + 58*i**2 + 1135*i.\nAnswer: 58*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes after 4:23 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -9\/17 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 15620987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 28080 and 21744720.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 4*s + 5*z = -24, 8 = s - z. Suppose p + h + 2*h = -4, s = -2*h. Find the third derivative of -i + 4*i**p + 6*i**3 + 3*i**3 + i wrt i.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 29.6 - 4.6. Let j = g + -25.1. Which is the closest to 0? (a) 2 (b) 1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-x + 3 - 3)*(x - x + 2*x**2) + x**3 + 8*x**3 + 0*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -591295 (base 10) to base 14\nAnswer: -1156b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 131335 is divided by 796.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 5 = 25. Let c be (n\/(-8))\/(4\/(-144)). Suppose 0 = p + 3*l - c, 4*l + 15 = p + l. What is the remainder when p is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the second derivative of 0*l**3 + 1\/4*l**5 - 50*l - 1\/15*l**6 + 0 + 0*l**2 - 18*l**4. What is the third derivative of u(t) wrt t?\nAnswer: -48*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -4*t**2 - 3*t + 2. Let z(j) = 7*j**2 + 7*j - 6. Let s(g) = 27*g**2 + 28*g - 25. Let m(y) = 2*s(y) - 9*z(y). What is -7*a(x) + 3*m(x)?\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 8\/5 (b) -3 (c) -2 (d) -5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 441662 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the second derivative of -u**7\/84 - 7*u**6\/20 + 47*u**5\/20 - 73*u**4\/12 + 33*u**3\/4 - 25*u**2\/4 + 413*u. Let z(y) = 0. What is y?\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 560868 is divided by 1660?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 243 and 675.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -15*c - 68. Put c, -12, 1 in ascending order.\nAnswer: -12, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/11? (a) -0.3 (b) -2.4 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 - 3)*(10*z - 10*z - 8*z)*(-4 - 2 + 4)*(-2 - 3 + 0)*(13*z**2 - 5*z**2 - z**2)*(-4*z + 0*z + z).\nAnswer: -3360*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:40 AM and 4:12 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q\/(q*q\/((q**(2\/3)*q)\/q*q)*q))\/q*q)**(-10\/7)\/((q\/q**(2\/7))\/q)**(-46))**(-5\/4) assuming q is positive.\nAnswer: q**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 307006.686s in weeks?\nAnswer: 0.507616875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 5 = -2*w. Let o(i) = -i**3 + 5*i**2 - i + 7. Let n be o(w). Suppose -n*p = 3*f + 8 - 20, 5*p - 4*f = 30. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) -243 (c) 2053\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 308087 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1984260749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -50 divided by -1346757?\nAnswer: 50\/1346757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 97*q**2 + 774*q + 61. Determine p(-8).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.01 - 93.91.\nAnswer: -93.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0049875104 rounded to six decimal places?\nAnswer: 0.004988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -273842.29 - -61.71487\nAnswer: -273780.57513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*l - 2 - 14. Let j be ((0\/l)\/(-3))\/2. What is the remainder when ((8 - (3 + j)) + 3)*4 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 732456.\nAnswer: 2, 3, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 3243538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(252) + 1)*5 - sqrt(252))**2.\nAnswer: 240*sqrt(7) + 4057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -7, 15, -3, 3.\nAnswer: -7, -4, -3, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -894, -886, -864, -822, -754?\n\"Answer: j**3 + j**2 - 2*j - 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 0.22 + -1.95\nAnswer: -1.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -65\/357 and 71\/22384665.\nAnswer: 156692655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (27346\/(-6))\/(410\/60 - 7)?\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 2*(-2)\/(-4) + (-411)\/180 and 37\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6825 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -60630, -4 in ascending order.\nAnswer: -60630, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -3.5 (c) -1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 28 = 4*a, -3*q - 4*a - 8 = -0*q. Let z(v) = -v**2 + 5*v + 2. What is z(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -68*p**2 + 4083457*p - 340160111.\nAnswer: -136*p + 4083457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 17239830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/212517 and -29\/630.\nAnswer: 14876190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 236*g - 234*g - 130 = 0. Let d be (5\/3)\/(19\/(4446\/g)). Solve -2*k + d*o = 3*o + 8, -3*k - 2*o = -1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(1 + ((sqrt(13) + sqrt(13) + 2)*-2 + sqrt(13) + sqrt(637) + -1)*-1 + 2))**2 + 3.\nAnswer: -64*sqrt(13) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15.98 + 16. Is 1 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4.70948952 * -0.3.\nAnswer: 1.412846856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -2*p**2\/5 + 46*p\/15 - 8\/3 = 0. What is p?\nAnswer: 1, 20\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjpjjjjpjjpjjjjjjpp. What is prob of picking 3 p and 1 j?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w**3 - 13*w**2 + 12*w + 3. Let f be m(12). Suppose 4 = 3*x - 4*l, f*l = -x + 7*l + 4. Solve z + 6 = -2*n - x, 4*z + 6 = -2*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.04 + 3.96. Let n be (93\/(-558))\/(22\/(-24)). Suppose 0 = -4*h + 12, 0*l - 3*h + 5 = -2*l. What is the third biggest value in n, l, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by 22493594.\nAnswer: -3\/11246797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -13183.47419 to one decimal place.\nAnswer: -13183.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be -3 + 1 - 15\/(-9). Is 3.2 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 736506 divided by -3.\nAnswer: -245502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 13578 (b) -4 (c) 0 (d) -3\/100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 7208177 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -465*g**2 - 236*g**2 + 715*g**2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeyxvesrvrr. Give prob of sequence yse.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ayaa when four letters picked without replacement from aayaaayaaaaaaayayaa.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**(-1))**(-1\/19)*(d\/(d\/(d**(-2\/11)*d*d*d)))\/d*d*d**9)**3 assuming d is positive.\nAnswer: d**(390\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 5*l**3 + 14*l**2 + l - 18. Let k(b) = -4*b**3 - 13*b**2 + 16. Let f(w) = -4*k(w) - 3*u(w). Determine f(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 538637858?\nAnswer: 2, 11, 227, 107857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(396)*-2)\/sqrt(9) - -2*sqrt(176))\/(sqrt(20)\/((-3*sqrt(45))\/sqrt(9))*-4).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*z = -23*z - 8. Let i(t) = 2*t**2 + t + 2. Does 30 divide i(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -38? (a) 16\/3 (b) 2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1.06 * 0.4\nAnswer: -0.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -350 - -347.06. Let k = 2.34 + g. Which is the smallest value? (a) -4 (b) 0.1 (c) k (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1654485 (base 11) in base 5?\nAnswer: 1210120343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 - 2 + 2*n + 0 + (3*n + n - 2*n)*(-59 + 20 + 10) to m*n + p and give m.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 478 - 473 = -5*x, -3*x = -3*y + 30. Let c = 139 - 975\/7. Sort x, -0.4, c, 0.4 in descending order.\nAnswer: 0.4, c, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qmmmqqqqqqqq. Give prob of sequence mm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o + 9. Let d(l) = -l + 10. Let q(f) = -4*a(f) + 3*d(f). Suppose 0*k = 5*k + 40. Let c be ((-18)\/k)\/(3\/8). Calculate q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from inqqyiinniiqq. Give prob of picking 1 y, 2 n, and 1 q.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**2 + 214*a - 1311. Let q be i(6). Solve 15 = -6*y + q*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -1790*j - 10. Let m(k) = -3549*k - 18. Determine 7*d(g) - 4*m(g).\nAnswer: 1666*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1965491 + -1384770. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 65.292 - -732.098. Round s to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6326?\nAnswer: 2, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y**3 - 3*y**2 + 3*y + 3. Let v be n(3). What is the greatest common factor of 18 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 22774 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -515 (base 10) to base 3.\nAnswer: -201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1716664?\nAnswer: 2, 59, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1110 - 100?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 + 4\/((-36)\/29). Let d = -470.9 - -511. Let j = d - 40. Sort 1\/5, m, j, 1.\nAnswer: m, j, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 - 2. Suppose 0*h - 88 = -2*h - y*g, 4*g = -4*h + 176. Calculate the greatest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**3 + 12*x**2 + 9. Let c be u(-12). Suppose 4*g - 23 = c. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 4*y**2. Let l(s) = 253*s - 1. Calculate l(j(x)).\nAnswer: 1012*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18490 is divided by 8886?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 6.7 and 11790?\nAnswer: 78993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 130834, 261451, 391866, 522085, 652114?\nAnswer: 781959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 24162156 and 864?\nAnswer: 579891744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 864721.\nAnswer: 11, 13, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (((sqrt(242) - (sqrt(242)*-2 - sqrt(242)) - sqrt(242)) + -4)**2 - sqrt(242)))*-2.\nAnswer: -4378 + 550*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is (4 + 0 + (-370)\/(-3))\/((-94)\/(-114069)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 33.91 - 21.91. What is the biggest value in 1.9, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -4*r**3 + 7*r**2 + 17*r - 1046. Let x(g) = 3*g**3 - 5*g**2 - 11*g + 701. Calculate 5*l(q) + 7*x(q).\nAnswer: q**3 + 8*q - 323","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 25, 15, 3, -11, -27, -45, -65?\n\"Answer: -u**2 - 7*u + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let 64 + 43*h + h**4 + 34*h**2 + 100*h - h**2 - 31*h - 14*h**3 = 0. Calculate h.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -6, 1.38, -3\/2, -38, -0.2 in descending order.\nAnswer: 1.38, -0.2, -3\/2, -2, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 64225543 to the nearest integer?\nAnswer: 8014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor l**3 + 70234*l**2 + 2948505*l + 30954672.\nAnswer: (l + 21)**2*(l + 70192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 2 - (43 + -42) - 3) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -3*r - 4\/3 - 2\/3*r**2 = 0.\nAnswer: -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 21 = s + 24, 4*s + 17 = 5*w. Let t be 1 - 4\/((-2)\/1). Suppose p + 48 = t*n - 2*p, -5*n = -s*p - 65. What is the remainder when 21 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 37 + -50 + 14 + (-5 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.2 - 0.6. Let k = 4 - 9. Let v = k - -8. What is the third biggest value in -3, v, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -43d226 - -1?\nAnswer: -43d225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 558, -2, -9 in decreasing order.\nAnswer: 558, 11, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*d**3*l*r - 2*d**3*l + 5*d**3*r + 15*d**3 - 3561*d**2*r - 2*d*r + 76*l*r wrt d.\nAnswer: 12*l*r - 12*l + 30*r + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -373 - -813. Suppose 0 = 7*s - 3*s - w. Suppose -281*z = 5*t - 282*z - 49, 11 = 2*t - 9*z. Calculate the highest common divisor of s and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-18)\/4*(-6)\/9. Let v(q) = q**2 - 38*q + 22. Let j be v(0). Solve -t*n = -4*k - 29, j = -n + 2*k - 7*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1507784 less than 0.67?\nAnswer: -1507783.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -38, -8, 150, 502, 1114, 2052, 3382?\n\"Answer: 11*p**3 - 2*p**2 - 41*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -81 - -176. List the prime factors of r.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56576136317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5571 - 5568. Sort -4, o, -58, -3.\nAnswer: -58, -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 24329539 to the nearest integer?\nAnswer: 4932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((s*s**(-4\/7)*s)\/s**(2\/3))**(3\/10))**(-11))**14 assuming s is positive.\nAnswer: s**(-176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 1748 + 122 = -5*n, -660 = -2*n - 4*w. Let c = 8 - 6. Calculate the smallest common multiple of c and n.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000260214115 to 7 decimal places.\nAnswer: -0.0002602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1578990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 261 + -179. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6185153532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1444 + 531. Let h = m - -12735\/14. Find the common denominator of h and -93\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2211426 is divided by 355?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -4023989, -8047980, -12071971, -16095962, -20119953?\n\"Answer: -4023991*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the third derivative of v**5\/6 - v**4\/6 + 7*v**3\/6 - 2*v**2. Is z(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 13.6 - 122.6. Let v = -306.66328687 + 197.6632856. Let w = v - i. Round w to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -9763 - -976347\/100. Calculate the common denominator of 13\/18 and t.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i*i*i*i\/i**(-1\/2)*i*i)**(-2\/77)\/(i**1*i*i)**(-15\/7) assuming i is positive.\nAnswer: i**(480\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3, -23, 5, -2 in descending order.\nAnswer: 5, 4, -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(2\/13)*p**1*(p**0)**31)**(2\/85) assuming p is positive.\nAnswer: p**(6\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -114 - -159. Suppose 0 = 12*x - 17*x - g. Put 3, x, 5 in descending order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -780.99997772 - -781. Round y to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in eight fifteenths of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hfhf when four letters picked without replacement from {f: 5, h: 9}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 148170114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/216 + (-100)\/5040?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -0.1, -2330\/3, 168?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.8, 2\/5, -11 in ascending order.\nAnswer: -11, -1.8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**2 - 6*o + 6. Let h be y(-6). Suppose 24 = h*m - 5*m. Calculate the remainder when m is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 45\/32 and -59\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-540)\/(-4275))\/(32\/80).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -38 + 37 + -22 + 2 + -19.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2966 = -4*h + 1858. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4524 + 2593 + 4973 = 93*b. What is the lowest common multiple of b and 660?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 - -5475?\nAnswer: 5472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 29860157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 653 + -593. Calculate the smallest common multiple of n and 150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-71)\/(-4) + 1\/4 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/(-5)*((-4)\/2)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 2 i when four letters picked without replacement from digdiyiggiggodgoigi?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -d - d + 0*d + 2 - 3*d - 2 + 3*d + d - 2*d + 4 + d - 4 + (d + 0*d - 3*d)*(4 - 4 + 1).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**5 + y**4 + 2*y**3.\nAnswer: -y**3*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 52 = -2*f, -5*w + f + 0*f = 260. Let r = -48 - w. Suppose 2*m + 2*k - 24 = 0, -r*m + 2*k - 19 = -85. Calculate the remainder when m is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2336.74 - -2337. Let n = -1.42 - -0.76. Let p = n + z. Round p to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 1547*c - 531806. Determine k(344).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -9*u**3 + 6059562*u**2 - 1019954565180*u + 679967016984.\nAnswer: -3*(u - 336642)**2*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 20021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ydtd when four letters picked without replacement from {y: 1, d: 6, t: 11}?\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 7 = -j - 4, 5 = -j - a. Suppose 46 = -27*f - 19*f. Sort 1, j, f in ascending order.\nAnswer: j, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that -2*y**4\/3 - 2144*y**3 - 5342864*y**2\/3 - 443629312*y - 2640455840\/3 = 0.\nAnswer: -2090, -562, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28294 = 4*a - 2*k, -2*k + 1 - 7 = 0. Does 44 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 12\/7*h + 0 - 3\/7*h**2.\nAnswer: -3*h*(h - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -773 - -777. Solve 0*i + 20 = 5*i + a, 2*i - 2*a = -l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 900 = -11*a + 2583. Let o(c) = -16*c - 3. Let g be o(5). Let r = a + g. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 6440 (b) 2 (c) -2\/11 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 769.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 61*f + 995. What is d(-16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6261146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2187 = -4*y - 629. What are the prime factors of ((-9)\/6)\/(24\/y)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) -1\/10 (c) -57\/4 (d) 0.02 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18291, 73139, 164549, 292521, 457055, 658151, 895809?\nAnswer: 1170029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000643984872 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (48\/(-72))\/(-2*1\/5949)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 417228 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.32 * -16.34.\nAnswer: 5.2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, -0.5, 2, 12, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n = 5*l - 45, 0 = -0*n + 2*n + 2*l - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1046025, 1046020, 1046015?\nAnswer: 1046010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1461 - -1461.3815. Which is the nearest to z? (a) -1 (b) 1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 80293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the second derivative of -n**6\/10 - n**5\/4 + 5*n**4\/12 + 5*n**3\/6 - n**2 - 3*n. Determine z, given that h(z) = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.2, -0.1, 0.1, -21142, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 56359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40580 is divided by 50?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -103 - -100. What is the fourth biggest value in -6\/5, -0.5, l, 0.02?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 903 and 20958?\nAnswer: 901194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s - 3*f + 13, -2*s + 8 = 3*f - 11. Let w(r) = -2 - 2*r**s + 2 - r**2. Let z(b) = -1 - b + 1 + 3*b. Determine w(z(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and -2130069?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 557 = 4*m - 2*b - 1253, 0 = m + 4*b - 457. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/48 and 13\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -154*z = 210 - 1750 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 2520*z - 10072. Determine s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 16 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -11901 - -17519. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*(p**(-23)\/p)\/p)\/p*p**(-25) assuming p is positive.\nAnswer: p**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -3*w**2\/5 + 10713*w\/5 - 980514\/5 = 0.\nAnswer: 94, 3477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/560 and -109\/60.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2.004 - 2.0039997353. What is g rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 9 = 33. Let a(f) be the third derivative of 0*f**4 + 0*f + 1\/6*f**3 + 0 - 2*f**2 + 0*f**5 - 1\/60*f**h. What is the first derivative of a(l) wrt l?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {z: 2, m: 16}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(-8)*((-3)\/(-33))\/(450\/990)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 608 minutes after 1:10 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Calculate (17 - 4)*(-462)\/(-273).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.1 - -3.1. Which is the smallest value? (a) -5 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * 15\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -29.591, 2\/13, 1\/2, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 128 is divided by 83?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 3*s**2 + 7*s + 2. Let w(v) = -25*v**2 - 2898*v + 290. What is the remainder when o(5) is divided by w(-116)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 5*u = -394, 5*y - 3*u - 706 = -7*u. Let z be 142\/4*(99\/(-11) - -13). Let v = z - y. What is the remainder when 8 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of f**4*x**2 + 290812*f**4 - 2*f*x - 902597*x**2 wrt f.\nAnswer: 12*f**2*x**2 + 3489744*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 323*i**4 + 2*i + 11 wrt i.\nAnswer: 3876*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -59*p**3*s**3 - p**3*s**2 + 2*p**3*s + 2*p*s**2 wrt s.\nAnswer: -354*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 353 = -217. Let m = n - -245. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-19)\/(-15) - 15*(-3)\/(-27). Let c = -191 + 190.8. What is the second biggest value in f, c, -0.276?\nAnswer: -0.276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 634*n + 215*n = 7159 - 25837 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-16)\/(-6))\/((-10)\/(-15)). Let z(j) = -n + j + 4. Let a(d) = 15*d - 7. Let l(o) = -10*o + 5. Let g(f) = 5*a(f) + 7*l(f). Determine g(z(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 29*w**5\/4 + 263*w**4\/2 + 106*w**3 - 1127*w**2\/2 + 1275*w\/4 = 0. What is w?\nAnswer: -17, -3, 0, 25\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 2*g**3 + 22*g**2 - g - 9. Suppose 2*v + 7 = -15. Let h be x(v). Solve h*w + 16 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -143604888 by 35901222.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -120.47 rounded to 0 dps?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**2 - 7*k + 34. Let b be q(5). What is the greatest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 - 6 - 4*d + 9)*(-8 - d**3 + 8) as c + o*d**3 + a*d**2 + l*d + m*d**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.2 + 2. Let g = -3.7 - -4. Let q = l + g. Do q and 1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 - -4. Let c(d) = -d**3 + 37*d**2 - d + 44. Let j be c(37). What is the second derivative of -11*u**z + 4*u - 7*u - j*u - u wrt u?\nAnswer: -66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 4 + 3*y - y - 12*y**2 - 22*y**2 - y. Let z be h(-2). Let d = z - -249. Does 35 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d - 4. Let v be y(-5). Let r be (-3)\/(-2) + 2\/(-2). Is r < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -81*x + 23*x + x**4 + 44*x**2 - 489 + 490 - 42*x**2 to y*x + u + z*x**2 + q*x**3 + a*x**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1957504 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1.593733 millilitres in litres?\nAnswer: 0.001593733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/(-8) - (-1)\/4. Suppose 0 = 5*f - 6 - 19. Suppose j*g - 110 = -f*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -162.1 - -162. Which is the closest to w? (a) -1\/8 (b) 4 (c) 34 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -8704 and 11.\nAnswer: -95744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 3*n - 4498. Let f(c) = 5*c - 8965. Calculate -4*f(m) + 7*v(m).\nAnswer: m + 4374","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -26\/5 and 79\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -5*m**2 - 125*m - 716. What is c(-6)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 3*x + u + 3*u, x + 10 = -3*u. Which is the third biggest value? (a) x (b) -1\/4 (c) 10.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0006205665 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 3, c: 4}. Give prob of sequence ccl.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 1. Let c(v) = -384*v - 2116. Let b(t) = -35*t - 189. Let f(j) = -56*b(j) + 5*c(j). Calculate -2*f(r) + 8*o(r).\nAnswer: -80*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x**2 + 0*x**2 - x**2 + (-x + 3*x - x)*(2 - 2 - x) - 146*x + 146*x - 12*x**2 + (-1 + 6 - 3)*(-2*x**2 + x**2 + 3*x**2).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -5710, -6045, -6378, -6709, -7038, -7365?\n\"Answer: c**2 - 338*c - 5373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5 + -2. Let a = -2015 - -2023. Solve a*h = -3*g + p*h - 4, 2*g = h - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*f**3*y - 2*f**3 + f**2*r*y - r*y - 20*r with respect to f.\nAnswer: -9*f**2*y - 6*f**2 + 2*f*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1411, -5704, -12853, -22852, -35695, -51376, -69889?\n\"Answer: v**3 - 1434*v**2 + 2*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1454.7 in -9.15, 2, 3, -0.2?\nAnswer: -9.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 778 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 30229774 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -r + 120*r**3 - 277*r**3 + 94*r**3.\nAnswer: -63*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 4201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 15 + -15. Suppose -4*i = 2*r - 9 + 3, -5*r + 5*i - 15 = j. Is -1\/5 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1010\/303)\/(3*2\/18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -63 take away 1.7?\nAnswer: -64.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*a**3 - 2*a**3 - 7*a**3)*(-3 + 5 - 4) + (2*a**2 + a**2 + 0*a**2)*(2*a - a - 2*a) - 2*a**3 + 5*a**3 - a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ivvxrevvve. Give prob of picking 1 r and 1 x.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1\/4562 - -18241\/31934. Which is the third smallest value? (a) g (b) 4\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -137561 (base 8) in base 7?\nAnswer: -262612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 20, 7, -38, -127, -272?\n\"Answer: -2*z**3 - 4*z**2 + 13*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q. Let n(i) be the second derivative of -i**4\/12 - 14*i**3\/3 - 43*i. Determine l(n(y)).\nAnswer: y**2 + 28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.81 + 54.\nAnswer: 54.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 53\/78 or 0.48?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(171) - (4 + sqrt(171) + -5)) + sqrt(171) + sqrt(171) + sqrt(171) + (1 + sqrt(171))*2 + sqrt(171) + 5)**2.\nAnswer: 288*sqrt(19) + 6220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 11.106 - 10.706. What is the fourth biggest value in b, 2, 0.1, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 36 = -4*i. Let g = i - -9. Suppose 4*q + h + 2*h - 33 = 0, -2*q = -4*h. Solve 3*j - q = -g, -n - j - 1 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10 + (-3 + 27 - 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 71519.\nAnswer: 7, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (5*u + 7 - 7)*(0*u - 3*u + 4*u) + 4*u**2 + 2 - 2 in the form j*u + n + t*u**2 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide -327991 by 4.\nAnswer: -327991\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*v - 3*v = 30. What is the third derivative of -5*p**v + p**6 - 7*p**2 + 3*p**2 wrt p?\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -85 - -120. What is the common denominator of 15\/(-100)*(-26)\/(-6) and y\/(-12) - 6\/9?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uruu when four letters picked without replacement from {r: 3, o: 2, u: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-180)\/(-44))\/(-5) + 1. Suppose -3*n = -0 - 15. Which is the nearest to -0.2? (a) 1 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -109\/63701 bigger than 2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/1523275 and -41\/162110.\nAnswer: 88349950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 494 and 12688?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the third derivative of -p**4\/12 - p**3\/6 - p**2. Let h = -8 - -9. Let v(r) = 1. Suppose 2*q - 3*q = 1. What is h*u(w) + q*v(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 2 r when three letters picked without replacement from {u: 2, v: 5, r: 6, b: 3, m: 2}.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 2 + 1)*(677*c - 330*c - 330*c + 5) - 2*c - 6*c + 2*c to the form q + d*c and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from nnmnmmmkkknmmnnmnm?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**3 - 7*o**2 + 4. Calculate r(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the first derivative of p**3\/3 - 2*p + 4. Let x = -4 + 6. List the prime factors of l(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/7, 2715003, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12169.\nAnswer: 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 6*r - 7. Let t = -28 + 303. Suppose 5*z - 80 + t = 0. Let x(l) = -l + 1. Let o(u) = z*x(u) - 6*c(u). Differentiate o(m) with respect to m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 45*g = -48*g + 6, 8*g - 25 = -t. Let y be 4 + -3 - 209\/8. Let o = 8647\/344 + y. Is t smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9 - 873*q**2 + 16 - q + 870*q**2 to c + o*q**2 + d*q and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(1\/36)*z*z)**(-2\/37) assuming z is positive.\nAnswer: z**(-109\/666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in one sixth of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 4771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -h - 715 - 220 = 156*s, -s - h - 1 = 4 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -u - 16. Let t(i) = -4*i + 1474. What is t(y(s))?\nAnswer: 4*s + 1538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/(-1) - -14 - 3. Suppose -3*u - 66 - 6 = 0. What is the common denominator of u and (511\/21)\/(w\/(-3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -15890210, -31780420, -47670630, -63560840, -79451050, -95341260?\n\"Answer: -15890210*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h**(-1\/3)*h)\/((h*h**(-5))\/h))\/((h*h**(-1))\/(h\/h**(-2))) assuming h is positive.\nAnswer: h**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3 + 0 - (0 - 1497\/3). Is v\/12 + 2 + 55\/(-30) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y**3 - 5*y**2 + 7*y + 12. Let i(r) = 3*r**3 - 15*r**2 + 20*r + 35. Let h(v) = 6*i(v) - 17*w(v). What is h(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 718 = 2*z - l, -4 = -2*l. Calculate the greatest common divisor of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -9944823 divided by 4\nAnswer: -9944823\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.08870637 - 0.0887. Round s to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2*x**2 + 8*x - 10. Let m(b) = -3*b**2 - 7*b + 10. Let f(j) = -2*c(j) - 3*m(j). Determine u, given that f(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g\/g**(-1\/9)*g)**17\/(g**(-16)*g*g\/(g\/g**(3\/2))*g) assuming g is positive.\nAnswer: g**(1177\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -59 = -5*g + 2*b, b + 34 = 54*g - 50*g - 5*b for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is h in 5*h**3\/6 - 245*h**2\/3 - 134815*h\/6 + 22550 = 0?\nAnswer: -123, 1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ibbddbbdiid. What is prob of sequence ibd?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 456 + 360 = 34*d. Calculate the greatest common factor of 192 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4*(38\/8 - 3). Let c(n) = n**3 - 3*n**2 + n + 4. Let h be c(4). Let y = 33 - h. Is y greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {d: 1, a: 1, f: 2, b: 1, g: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c + 1. Determine b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = -4*f - 4, -3 = -2*y + 3*y. What is the derivative of -18 + 5*k**f - 7 - 2 + 2*k**2 wrt k?\nAnswer: 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/12 and 89\/6824744?\nAnswer: 20474232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -683.50734*-0.05.\nAnswer: 34.175367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.2 - 22.8. Let a = -24.000048 - k. What is a rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1 + 8\/24)*(-7 - -1). Put -35, p, -3 in ascending order.\nAnswer: -35, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j. Let t be (-34)\/10 + (-24)\/40. Let b be 4\/(-8)*2*t. Let r(m) = 5*m**2 - 4*m + 4*m + b*m**2. Calculate r(s(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l + 3*x + 129, -10*x + 4 = -12*x. What is the greatest common factor of l and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*g**2 + 2*g**2 - 3*g**2 + g**2 + 3*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j - 4 = -3*c, -2*c - 34*j = -32*j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -3*8\/(-90)*(-5)\/(-6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 9857\/81 or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 9*b**2 + 0 - 5*b + 17*b - 14*b - 1 - 27*b**2 in the form v*b**2 + u*b + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(637)*-2 + sqrt(637)*-2*2 + sqrt(637) - (sqrt(52) + 1 - 5*(-2 + sqrt(13))))**2.\nAnswer: 704*sqrt(13) + 13433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s + 16 = 4*x, 2*s - s + 5*x + 1 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 380607899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(85)\/(sqrt(30)\/sqrt(6)))**2 - (sqrt(68)\/(sqrt(8)\/sqrt(2)) + sqrt(17) + sqrt(17) - sqrt(1700)*-1)**2.\nAnswer: -2907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 + 3. Suppose 0 = -d + 5*d - h*l - 11, 3*l = 5*d - 13. Suppose -d*u = 3*u - 25. Sort 0, 2, u in increasing order.\nAnswer: 0, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:40 AM and 12:22 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4 + 4\/(-12)*-3. Suppose -5*l - 7*c + 3*c - 70020 = 0, 55975 = -4*l + d*c. Round l to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.4891 + 1?\nAnswer: 3.4891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -1*(sqrt(17) - -1*sqrt(2057)))**2.\nAnswer: 120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 82 + 83 + 88 - 5 + 296*g - 114 wrt g?\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 229861047 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 96 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-6 + 5)*(-1)\/(-2) + -2)*-1372.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -101\/154719656 and -55\/10864.\nAnswer: 309439312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a**2 - 415*a + 30420. Give z(320).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2002 - 11?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u**3 + 123*u**2 - 254*u - 742. What is w(-125)?\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6268 + -6940. Which is smaller: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*z + 17*z + 72 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 810.4 and 6.3?\nAnswer: 5105.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out 371 * -0.13.\nAnswer: -48.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 436658 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l = 9*k + 116, 679*k - 3*l - 64 = 683*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 225 + 154?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 30604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 481*s + 577*s - 22619 - 14411 = 0 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 543.7 - 552. Let n = -0.1 + -3.2. Let s = l - n. Which is the biggest value? (a) 3 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6551, -212, -49 in descending order.\nAnswer: 6551, -49, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 106 - 101. Sort c, -4, 3\/4 in descending order.\nAnswer: c, 3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -2*g + 5. Suppose 0 = -4*l - 4*j + 36, l + 0*l - 4*j + 11 = 0. Suppose -l*k + k = 4. Let o = k + 5. Give t(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 292 - 291.36. Which is the nearest to -1? (a) m (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -185 + 41 = -3*x. Solve -28*o + 52*o + x = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9281570?\nAnswer: 2, 5, 928157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + 0 + -15 + (51 - 17 - 15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6\/(-3) + (-42)\/(-18). Let h = -9 - -8.9. What is the third biggest value in h, x, 1\/2, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.1 - -0.4. What is the nearest to q in 5, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -25*l**3*m - 27*l**3 + l**2*m - 2*l**2 + 2*l*m + 115*l - 8398*m - 52 wrt m?\nAnswer: -25*l**3 + l**2 + 2*l - 8398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the third derivative of b**5\/15 + b**2. Let f(x) = -5*x**2 + 4*x - 2. Let d(i) = -10*i**2 + 10*i - 5. Let r(t) = 2*d(t) - 5*f(t). What is h(r(j))?\nAnswer: 100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-1)\/q**(-1\/7))\/(((q**(-8\/3)*q)\/q)\/q**(2\/7)))\/(((q**3\/q*q)\/q)**(2\/37))**(1\/37) assuming q is positive.\nAnswer: q**(60152\/28749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3057678?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 - 1. What is the common denominator of 3 + 1\/(0 - y) and (-61)\/(-2) - (1 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 587867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 0*d = 152. Suppose -3*a + 94 = 55. What is the remainder when d is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 2*h - 1. Let w be o(6). Suppose -w*c - 84800000 = -3*c. Round c to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j + 3*j - 6*j)*(6*j**2 - j**2 + 4*j**2)*(3 + 1 - 3) - 64*j**3 - 26*j**3 - 21*j**3 - 3*j**3.\nAnswer: -150*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -372*s = -355*s + 25 - 110 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4\/55 (b) 0.3 (c) -2\/1577 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes after 1:54 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.26 in -1\/6, -0.02, 2\/5, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - 388946?\nAnswer: -388943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 371055 greater than or equal to 371058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 90*t**2 + 7*t + 3. Let b(x) = -278*x**2 - 20*x - 8. What is 3*b(s) + 8*p(s)?\nAnswer: -114*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in 0.1, -87, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = x + 5*n, 3*n = -5*x + 46 + 56. Let j be (-6)\/x + 48\/21. Suppose 0 = -4*l - o - j*o + 29594, -4*l + 29596 = 2*o. Round l to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/11 - 6685\/77. Let n be 10\/(-145) + (-963)\/l. Solve -3*c + 14 - n = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -35 divided by -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-200)\/(-420)*28*18\/(-15)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 108 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -13*y + 4. Let w(b) = -4*b + 1. Determine 4*c(h) - 14*w(h).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 319*h + 229 - 3495 = 3752 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*g = -20*g + 9984. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 1 = -1. Let y(r) = 3*r**2 + r - 1. Let c be y(j). Which is greater: 18\/11 or c?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.16 - -94.189787.\nAnswer: 94.349787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 42a (base 15) to base 8\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1*2\/(-5) - 8\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 166 divide 105957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**3 + c**2 + c + 40. Let k be t(0). Suppose -2*x + 4*x - k = 0. Suppose 56*d = 801 - 17. What is the smallest common multiple of d and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7574*f = 339282 - 148380 + 233242 for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 27196462 to the power of 1\/2, to the nearest integer?\nAnswer: 5215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4358593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1111, 4109, 8997, 15775, 24443, 35001?\nAnswer: 47449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3\/5002 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -5 (b) 1 (c) -0.5 (d) -36731 (e) -2\/9 (f) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.04 (b) 2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(864)*4)\/(sqrt(14)\/sqrt(7)*5)*-3)**2*-5 + -5.\nAnswer: -62233\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 - 3*g - 1. Let l be v(4). Solve 4*i + 8 = -4*n, -l*n - n = -3*i + 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1616116 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1 + 123\/6)*-2. Let l = d + 56. Let m = l - -12. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -11 + -515024?\nAnswer: -515035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 4*g**2 + g. Let r be i(-1). Suppose -r*d + 4*d = -18. Is (-6)\/d - (-40)\/6 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 2*r - 7. Let f be s(5). Suppose 0 = -0*b - f*b. Let j be b\/(2\/(-2 - 0)). Solve -3*h - 9 = -j*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5512271mm to nanometers.\nAnswer: 551227.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 620.2026 decades in years?\nAnswer: 6202.026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d**2 + 2*d**2 + 0*d**2)*(0 + 0 - 2)*(-2 - 3 + 6).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74 = 2*v - 142. What is the remainder when 135 is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0, -1, 1\/1194, -1\/8, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.5 and -719940474.\nAnswer: -719940473.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ll when two letters picked without replacement from llly?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 38 and 95?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 71335 (base 12) to base 6\nAnswer: 3054105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.07 in -0.314, 1, -1499?\nAnswer: -0.314","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -40d - -448?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -52 + -32434?\nAnswer: -32530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 139.02 - 139. Is h at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -55, -223, -467, -757, -1063, -1355, -1603, -1777?\nAnswer: -1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 55*m. Let y(c) = -2*c. What is -p(j) - 2*y(j)?\nAnswer: -51*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2681362 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 105 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 27 or -111?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46782 + 8638 = 170*u. Solve 42*y = 52 + u for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -61042409*b + 52836714.\nAnswer: -61042409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:47 AM and 3:04 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 7, n: 12}. What is prob of sequence kknk?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -0*h - 125. Solve -h = -6*s + s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 111 + 354 = 5*c - y, 4*c + 4*y = 396. Is c a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52825 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 5*v + 15 = 0, 16*u - 18*u + 58 = -4*v. Solve -l = -4*l, -5*z + l + u = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1383629879 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 1 - 3)*(1 + 0 - 3)*(4 + 1 - 6)*(-r + 3*r - 3*r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*f + 7*f - 249 = 0. Let r = 248 + f. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -8*w**2 - 11*w - w**3 - 15*w - 3 - 6*w**2. Calculate the remainder when 123 is divided by f(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 82*b + 78*b - 161*b - 15 + 9*b - 4 + 4 - 4*b + 2*b + 0*b + (-b - 2*b + b)*(0 - 1 + 2).\nAnswer: 4*b - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 88334 is divided by 29439?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**3\/21 + 2*r\/21.\nAnswer: -2*r*(r - 1)*(r + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m - 5. Let o(n) = 2*n + 5. Let d be o(0). Let k(j) = -2*j + 2*j - j. Let f(a) = d*k(a) + w(a). Differentiate f(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8570184.7 - -1114?\nAnswer: -8569070.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 942.1983ml in litres?\nAnswer: 0.9421983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 15) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 4*b = -41 + 109, -4*b - 16 = 0. Let x = -86 - -156. What is the highest common factor of u and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 30 = -24. Suppose -3*u + 3*l = 99, -u + 0*u - l - b = 0. What is the units digit of (-204)\/u - 1\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2717671\/9 + -302371. Let h = c + 408. Factor 0*r**2 + 0*r + 4\/9*r**4 + h*r**3 + 1\/9*r**5 + 0.\nAnswer: r**3*(r + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the first derivative of 31*f**2\/2 + 188*f + 58. Let s be k(6). Calculate the highest common divisor of 68 and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 37 + -20. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**3 + 1822*r**2 - 788385*r - 38301516.\nAnswer: -(r - 933)**2*(r + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 483949?\nAnswer: 19, 25471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, l: 1, i: 1, q: 1, s: 3}. What is prob of picking 1 z and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -4*k. Let j(z) = -2*z**2 - z + 8275. What is j(r(f))?\nAnswer: -32*f**2 + 4*f + 8275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 48504 and 598028?\nAnswer: 154291224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + 2 + 6 + -2 - (14 - 58 - -19)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 3*h**3 + 6*h**2 + 6*h + 4. Let l be n(-2). Is 2 + l\/(-4) - -8175 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -44*x + 186. Let b be o(4). Calculate the highest common factor of 415 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -104 (base 5) to base 13.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**4 - w**3 - w**2 - w. Let l(c) = 12*c**4 + 3*c**3 + 3*c**2 + 3*c - 9. Let b(t) = l(t) + 3*s(t). Differentiate b(d) wrt d.\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 - -1 - (0 + 1). Suppose 0 = 3*i + p - 7. Find the first derivative of n**2 - 4 - n**i + 3 - 3*n**4 wrt n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 210 and -43?\nAnswer: -9030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-5)\/(2 - 1))\/(-1). Let s = 2 - -10. Suppose 68 = o*y - s. Solve 6*q + y = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9774581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12 + -17. Let y(t) = -t**3 - 5*t**2 + 4*t + 7. Let o(v) = 2*v**2 - 2*v - 3. Give j*o(a) - 2*y(a).\nAnswer: 2*a**3 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -5*z**2 - 3*z**3 + 1 + 1 + 77*z - 77*z - 2*z**4 as g*z**2 + o*z**3 + q*z**4 + k + p*z and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -38*a - 19. Let m(h) = h + 1. Give -19*m(b) - r(b).\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 2*b**2 - b - 5. Determine t(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56*l + 13*l + 14*l + 17*l + 16*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -3 + (19 - 19) + (-46)\/(-40) and 71\/(-2) + 2\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g - 4*h + 4, 7*g + h - 16 = 3*g. Solve -g*f = -2*q + 5*q - 6, 10 = 5*q - f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 572 = v, -5*v + d = -824 - 2018. List the prime factors of v.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 4, l: 5, i: 4, h: 3}. What is prob of picking 3 h?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77)\/(sqrt(22)\/sqrt(2)*-4) - (-5*sqrt(189)\/sqrt(3))**2) + 1.\nAnswer: -1574 - sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f**3 - 3*f**2 - 4*f - 3. Suppose 3*r = -5*g - r - 2, 4*g - 5*r = -18. Let p be a(g). Solve d - 6 + p = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:51 PM and 6:51 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -65, -71, -81, -95, -113, -135, -161?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 671 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in twenty-nine fifths of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 3 + 4)*(3*r + 0 + 0)*(-108*r - 22*r + 49*r)*(2 - 4 + 1 - 2*r).\nAnswer: -486*r**3 - 243*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8 in -2\/9, 7, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 175*u - 53*u - 58*u + 6*u**2 - 64*u + 4*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (21 + 27 - 3)*(-v + 2*v - 3*v)*(-4 - 5 + 1)*(4 + v - 4).\nAnswer: 720*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1663 = g - w - 397, 5*g + w - 10282 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**15\/(i\/i**(6\/17)))\/(i**1\/(i\/i**13)) assuming i is positive.\nAnswer: i**(23\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -3*c. Let u be 3\/(-5) - 12\/5. Calculate the remainder when 16 is divided by k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 110.772+-1294419\nAnswer: -1294308.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 47*c + 22. Give p(4).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.309447 + -34.\nAnswer: -34.309447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the second derivative of -37\/12*v**4 + 0*v**2 + 1\/2*v**5 + 0 + 0*v**3 + 31*v. Find the third derivative of s(x) wrt x.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13330 = 4*g + 3*b, 3*g - 10*b - 9987 = -7*b. What is the remainder when g is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 2\/5 (b) -0.2 (c) 4 (d) -4 (e) -4\/7 (f) -0.04691\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = 3*m - 15, -m - 4*m = -4*s + 7. Let o be (-13)\/1 - (2 - s). Let v be (-3)\/o - (-13)\/(-4). Which is smaller: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 3*c - 27 = 0. Let n = 51 + c. Suppose -5*l + l = -n. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + 2 + -6 - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 6) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 5*q**2 + 7*q - 4. Let w = 107 + -116. Let i(f) = f**2 + 8*f - 3. Let p be i(w). What is the tens digit of b(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 177876135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 194 - 80. What is the remainder when p is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -55940\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llw. What is prob of sequence lw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 4*a**2 - 3*a + 3. Let z be (1 + 4)*(-112)\/(-140). Suppose 4*x - 40 = -4*w, z*x = 3*w + 4 + 8. What is the lowest common multiple of n(-5) and x?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -27 - -417d7?\nAnswer: 417b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 5*z**2 - 546*z + 96. Give o(109).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 434\/5, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 143 + -142.8. What is the smallest value in d, -6\/11, 18?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 26203*c**4*s**2 + 531*c**2*s**2 + 3*c**2 - 2*c*s**2 wrt c.\nAnswer: 628872*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(275) + 0 + (sqrt(275) - (sqrt(275) - 2*sqrt(275))) + -1 + sqrt(275) - ((sqrt(275) - 2*sqrt(275))*-1 + 4*(sqrt(275) + 1*sqrt(275))))**2.\nAnswer: 100*sqrt(11) + 6879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Solve 39*o + 4668 = 4551 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of h**3*x - 169*h**3 - 2216*x wrt x.\nAnswer: h**3 - 2216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = 11*k - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1372\/112)\/7*(-8)\/4*(-8)\/(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1799 divided by -7.\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 3 + 0)*((-4 + 4 - 1)*(-4*r + 4*r + 6*r) - 404 - 17*r + 404 + (0*r + r + 4*r)*(0 - 1 + 3) + (-3 - 1 + 0)*(-2*r - 4*r + 3*r)) as c + q*r and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22550?\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 268346*n**2 + 166891*n.\nAnswer: 536692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*a**2 + 52*a + 56.\nAnswer: -4*(a - 14)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -80*g - 3710 + 9870 = 0 for g.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 5*v**2 - 112*v - 32. Let a(p) = -4*p**2 + 111*p + 27. Calculate -6*a(i) - 5*g(i).\nAnswer: -i**2 - 106*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (96*q + 41*q - 11*q)*(2 + 0 - 4)*(-3 + 7 + 1) to the form k*q + n and give k.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 + -3. Let z = x - -1.8. Let t = 4 + -4.4. Which is the closest to -1\/2? (a) t (b) z (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.2 - 0.1. Let p = -53023 + 53023.4. Let l be (-6)\/21 - (-62)\/70. Which is the smallest value? (a) l (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-36)\/12 - -6)\/((-3)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvixbxxx. What is prob of picking 1 b, 1 i, and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.31866 hours in microseconds?\nAnswer: 1147176000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 + -5. Suppose -2*x + 12 = -w*x. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.03 * -0.4.\nAnswer: 0.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x. Let z(h) = 407*h - 549. Determine v(z(t)).\nAnswer: -407*t + 549","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply -14 and 249.\nAnswer: -3486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5870 is divided by 49?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 2\/7, 2, 0.27.\nAnswer: -0.3, 0.27, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 210*q - 64 = -209*q, 0 = 6*s - 10*s - 43*q - 217 for s.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1474 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n - 4*n + 3*n)*(-12 + 16*n + 12)*(-1 + 2 + 1).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/1726921 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand ((5*v - 4*v - 2*v)*(-v + 0*v + 2*v) - 99602 + 202*v**2 + 99602 - 2*v)*(2*v + v - v).\nAnswer: 402*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -1439, -4\/5, 2031 in decreasing order.\nAnswer: 2031, -4\/5, -1439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 588 - w - 588. Let q(x) = -4*x**2. Calculate q(i(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 22 = -u. Suppose 3*g + 50 = 14*p, -3*p - g + 45 = 31. Sort -12, u, 1, p in decreasing order.\nAnswer: u, p, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8508 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*a + 13 - 5 - 8.\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22686 is divided by 339.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -101, -184, -281, -386, -493?\nAnswer: -596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -351a20 (base 11) in base 6?\nAnswer: -15551333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -38*h - 111 + 567. Let k(f) = f - 9. Let t be k(9). Suppose t = y + v - 19, -v = -y - 2*y + 45. What is the smallest common multiple of h and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ooopnkmopoooooc. Give prob of sequence np.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 22557 (b) -2\/15 (c) 3\/5 (d) 110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2115 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13543\/2 - -6771. Which is the nearest to -1? (a) -3577 (b) h (c) 0.1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:56 PM and 12:51 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 35577443 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-15)\/6)\/(-1)*(-84)\/(-35). Let w(z) = 5*z**2 + 14*z - 10. Let b(n) = 14*n**2 + 41*n - 30. Let g(p) = s*b(p) - 17*w(p). Give g(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d - 46622 = -3*j - 46622, -638 = -0*d - 2*d + 158*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14\/(-8) - -2 - 13752\/(-32)?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n - n - 3*c + 7*c = 261 - 217, 6*n + 5*c = 55 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 17 - 1. Let o(r) = -q - 3*r + 23*r + r**2 + 2 - 4*r. Let m be o(-17). Solve 2*x - 15 = -m*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38544*v - 38626*v = -1476. Let z = -3 - -1. Let l(d) = -10*d - 2. Calculate the least common multiple of l(z) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 0.1 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 218 + (0 - -2)\/(-2). Suppose 76*b + 26 = 2*o + 73*b, 0 = -18*o + 3*b + 522. Calculate the highest common factor of o and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1773646*p**2*u**2 + p**2 - 53*p*u - 2529*p - 4*u + 2 wrt u?\nAnswer: 3547292*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*r - 48*r = 273 - 1630. Solve r*l = -217 + 79 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - 9 - (115 - 114) - 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*l + 20 = -10*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = -3*x - 0*u + 16, 53 = 4*x - 5*u. Calculate the greatest common divisor of x and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 71*d**2 - 414*d + 414*d - 68*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 88159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/12)\/(((-5)\/(-2))\/(-1)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -8309 divided by 3?\nAnswer: -8309\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-150)\/(-18) + 2\/12*-2. What is the units digit of ((-406)\/(-7))\/(v\/68)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14984.3 + -11.9602392?\nAnswer: 14972.3397608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 149*i - 3. Suppose 5*t + 0*t + 7 = 4*b, 0 = 2*t - b + 1. What is the units digit of x(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4 + -7a83967?\nAnswer: -7a8396b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 19, l: 1}. Give prob of sequence alaa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -4571900 to the nearest ten thousand.\nAnswer: -4570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 6, w: 3, v: 1, r: 7}. Give prob of sequence rwvw.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 104 + -103. Calculate the least common multiple of v and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - 27 = 3*o. Let u be (-8)\/(-12) - (-75)\/o. Calculate the highest common factor of 72 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 182 a factor of 660114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -265, -1116, -2543, -4552, -7149, -10340, -14131, -18528?\nAnswer: -23537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eqeeeekqu. Give prob of picking 1 u, 1 q, and 1 e.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11 - 4. Let u be ((-6)\/o)\/(2\/(-14)). Let w be 1\/3 + 58\/u. Solve w - 2 = 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, u: 1, o: 6, l: 4}. Give prob of picking 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the first derivative of 473*k**5\/5 + 1409*k**2\/2 - 1194. Find the second derivative of x(a) wrt a.\nAnswer: 5676*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(1331) + sqrt(1331) + sqrt(1331) + (sqrt(1331) - sqrt(1331)*1) + 1)**2.\nAnswer: -11980 - 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 67683 = -407411*g + 408290*g for g.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 200 + -2202\/11. Let k be (-1 - -3 - 1)\/1. Which is the nearest to k? (a) g (b) 3\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/(-4)*2 - -3. Let r(t) be the first derivative of -1 + l*t**2 - 4\/3*t**3 + 3*t. Let n(b) = b**2 - b - 1. Calculate -3*n(j) - r(j).\nAnswer: j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22966344 is divided by 2694.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 61*w**2 + 2*w - 1. What is d(1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13444 is divided by 228?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 7310399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 381134 and 548.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (22 + -17 - (4 - -2)) + -4 + 11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes before 5:04 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of i**4 - 5*i**3 + 732*i + 4967 wrt i?\nAnswer: 4*i**3 - 15*i**2 + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 31427, 31428, 31429, 31430, 31431, 31432?\n\"Answer: c + 31426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the first derivative of -7*l**3\/3 - 68. Let u(k) = -11*k**2. Determine a(u(m)).\nAnswer: -847*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 50638 divided by -1?\nAnswer: -50638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 1198.23139 to 1 decimal place.\nAnswer: 1198.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 774 + 9*c - 387 - 385 + 4*c + 4*c.\nAnswer: 17*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -3*w**2 + 6*w - 4. Suppose -68 = 4*k - 0*k. Let j(x) = 8*x**2 - 17*x + 11. Calculate k*s(a) - 6*j(a).\nAnswer: 3*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the first derivative of -7*m**6\/45 - m**4\/12 + 40*m**3\/3 + 12. Let o(a) be the third derivative of i(a). Let u(t) = 2*t. Determine u(o(j)).\nAnswer: -112*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r = -2*g - 2*g + 6, 3 = g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(4\/9)\/s*(s*s**(-5\/3)\/s)\/s*s*s**(-2\/9)\/s*s\/(s\/(s*s**(-9\/4))) assuming s is positive.\nAnswer: s**(-169\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -152 divided by 76?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*s - 468 + 10*s - 14*s + 468 + 10*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.71759199 to four dps.\nAnswer: -0.7176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -35037901, -35037899, -35037895, -35037889?\n\"Answer: h**2 - h - 35037901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -99537117*j**3*w**2 + 52294049*w**2 with respect to j.\nAnswer: -298611351*j**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is u in 20*u**4 - 148*u**3 + 196*u**2 + 244*u - 120 = 0?\nAnswer: -1, 2\/5, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 102, 11, -13?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (78 + -1)*(2 + -1). Suppose -5*p - 2*k + u = 0, 3*p + k = 3*k + 59. Suppose 0 = 3*h - p - 4. Solve 0 = 3*y - h + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -122133*a = -61072*a - 61073*a - 324 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1991*o**2 + 87*o - 87*o + 1982*o**2 + 1983*o**2 - 5967*o**2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*q - 3*j = -118, -69*j + 134 = -q - 65*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(18\/3)*(-460)\/(-4485)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-33)\/9 + (-1)\/3. Suppose -2*b = 5*d - 3 - 0, -2*d = -5*b + 22. Let a = -1 + b. Sort f, -2, a in decreasing order.\nAnswer: a, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -1 (b) -0.04 (c) -4 (d) -467\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a - 3. Let q be p(4). Suppose -r = -3*r - 14. Let t = 6 + r. Is t < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**3 - 4*x**2 + 5*x + 5. Let v be t(6). Suppose 338 = 5*c - v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*q - 15*q + 15 = u, -2*u + 4*q = 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 - 6 = g - 3*h, 0 = -3*g - 3*h - 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u - 2*u + 2*u + u - 6 + 6 + u + 0*u + 2*u + (0 - 1 - 2)*(-3*u + u + 5*u).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 326, 324, 322?\n\"Answer: -2*j + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 484 + 44*h + 44*h - 171*h + 47*h + 39*h as u*h + a and give a.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 4, m: 2, k: 1, r: 3, g: 2, h: 3}. Give prob of picking 2 h and 1 z.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9957859\/1401 - 21323\/3. Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10971679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (11\/((-770)\/(-20)))\/(9 + (-7 - 12))\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 82494.14ml in litres?\nAnswer: 82.49414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 24.9 + -25. What is the closest to 1\/4 in 1\/4, j, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*q + 1189 = 109. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 17 - 1 + 7*v - 6*v. What is the units digit of s(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000031020698 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 74 = 9*q - 10*q, 0 = -7*q - 3*w + 529. What is the highest common divisor of 1615 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:37 PM and 6:58 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -77 - -110. 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: Let j(n) = 18*n**2 + 36*n - 174. Is j(6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o + 167 = 188. Solve -4*c + 4*q - 12 = 0, 4*c - o*q + 11 = -1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -39*k**5\/2 - 9390*k**4 - 744627*k**3\/2 + 205909443*k**2 - 299689200*k - 221130000 = 0.\nAnswer: -300, -7\/13, 2, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/384 and 47\/240.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes before 8:47 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.0078142 from -0.2139834702.\nAnswer: -0.2061692702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 102 a factor of 875874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 21 + -22. Let c be 1 + -4 - 11*j. Let p(k) = k + 15. Is p(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -k**2\/2 + 160467*k\/2 = 0 for k.\nAnswer: 0, 160467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 4*u - 29. Let c be b(8). Suppose r = 4*f + 3, -3 = -r + f + 2*f. Suppose -5*x + 16 = q + 2*q, -4*q + c = r*x. Solve x = h - 6*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 5*h. Let a be b(1). Let f be (-3)\/((-12)\/(-8))*(-8)\/8. Solve 0 = f*t + 3*d + 8, 2*d - 2 = -a*t - 0*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -26*a + 16. Let f be l(-4). Suppose -f = -4*q + 436. Is q 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\/17 in -11\/2, 3\/4, 0, -4\/9, -33?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 367162772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -163*w = -124 + 4851 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1061790 rounded to the nearest ten thousand?\nAnswer: 1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, w: 2, t: 3, v: 1, f: 5}. What is prob of sequence kf?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = 274 + -270. Let t(m) = -3*m + 0*m + d + 0*m + 16*m + m**2. Determine t(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 + -213?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in 0.3, -1\/15, -4, 0.028?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 154298.066 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 32*r**4 - 3*r**3 - 391 wrt r?\nAnswer: 128*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1093978033*d**3 + 8720394*d.\nAnswer: 6563868198*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - (-17)\/(-7)) + (-611)\/1645.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 + 6624752?\nAnswer: 6624750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3901?\nAnswer: 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (51\/918)\/(15\/(-18)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 20.8 + -14. What is the biggest value in o, 0.4, 0.3, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 20*v - 4*v - 14*v - 205*v**5 + (-15 + 7 + 45)*(1 - 5 + 2)*(-2*v**5 - 2*v**5 + 3*v**5).\nAnswer: -131*v**5 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 5*a + 22 = -2*f, 3*f = 4*a + 88. Suppose -6*y = -41 + 17. What is the highest common factor of y and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114 + 124 = 5*d. Let t be d\/(-4) - (-4000)\/(-64). What is the nearest to -1\/2 in t, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -29 + 3174*n**2 + 84 - 29 - 26 to the form m*n + o*n**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**2 + 9*l - 114. What is t(-19)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 6*x - 3*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d = -2*i - 6, 4*d - 18 = 3*i - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -359 - -387. Suppose t = 6*t - 115. Let p = q - t. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -10*a - 26 = -11*a. Let l = a - 31. Sort l, 1, 4 in decreasing order.\nAnswer: 4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2927 - -2949. Solve -161*m + 150*m - d = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3*1.08.\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10 - -3. Let z be c\/(-21) - 11\/51. Let o = -6 + 5.9. Are z and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 723469029 - 7.99?\nAnswer: 723469021.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 416283 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 125293577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 24*a**2 - 6*a + 6. Let k be h(2). Let l = k - 271\/3. Find the common denominator of 1*-1 - 5\/15 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 14 - (-1 - -6 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 81*m**2 + 5*m - 5. Suppose 3*i + 8 = -2*k, i = 5*k - 2*i - 22. List the prime factors of g(k).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1 + 1 + (0 - 3)\/(-3). Solve -y + 11 + 2 = 4*a, k*a = 3*y - 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 52, -352, -174 in ascending order.\nAnswer: -352, -174, -5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 21749643613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -152 = -34*j + 562 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5215 - 2568. What are the prime factors of j?\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1288 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 is 169 (base 14) in base 3?\nAnswer: 101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mqr when three letters picked without replacement from {r: 1, d: 1, q: 9, m: 5}?\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 4*q + 55 = -6*q, 3*g - 47 = 4*q. Let b(m) = m**3 - 5*m**2 + m - 2. Is b(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 69 = 29. Let j(d) = -d**2 - 9*d - 10. Let c be j(-11). Is -3 + (c\/o)\/((-2)\/(-125)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 1 = 5*m - 3, 3*m = 5*t - 12. Find the third derivative of x**2 + x**2 - 3*x**2 - 10*x**2 + 12*x**t wrt x.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 48 + -46. Let c(q) = -x + 4 + 2*q**3 - q**3 - q - 5 + 9*q**2. Determine c(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 670971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-3)\/(i\/i**(-1\/2))*i\/(((i\/i**6*i)\/i)\/i)*i*i\/i**(-2)*(i**(2\/5)*i)**(11\/7)*i**(1\/2)*i**(-4\/9) assuming i is positive.\nAnswer: i**(394\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 2 = p, 0 = -0*b - 5*b - 4*p + 7. Let d be (2\/b)\/(10\/(-640)). Calculate the highest common divisor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by -2259.\nAnswer: 4\/2259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 15000 less than -1839431.0788?\nAnswer: -1854431.0788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 803592, 803590, 803588, 803586, 803584?\n\"Answer: -2*b + 803594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence clml when four letters picked without replacement from {c: 3, m: 4, l: 7}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that 4*j**2 + 101832*j - 101836 = 0.\nAnswer: -25459, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}