{"text":"Question: In base 7, what is -3 + -65512464?\nAnswer: -65512500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4733*t = 4726*t + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 123 - 4?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -140, 5, -6405, 3 in ascending order.\nAnswer: -6405, -140, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1174\/63 + -132\/7. Let s = 134\/5 + -1216\/45. Which is the nearest to r?  (a) 0.3  (b) s  (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (-2 - (-10 - -5 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -3*g**2. Let u(v) = -v**2 - 3*v. Let s = -1 - -3. Let z(a) = a**2 + 2*a. Let m(p) = s*u(p) + 3*z(p). What is c(m(k))?\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 35 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -26*w**2 + 6*w - 8. Let g be k(2). Let v = -97 - g. Solve r - 1 - v = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -10. Let d(h) = 15*h + h - 21*h - 6 + 6*h. Determine d(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 15*d**2 + 8*d - 18. Calculate the least common multiple of h(4) and (-20 - 2)*(1 + -2).\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11067900 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1440\/(-12))\/(-5)*(-3)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2788\/13, 35\/2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 5038, 5551, 6950, 9679, 14182?\n\"Answer: 74*g**3 - g**2 - 2*g + 4967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 123 + 3 + 2 + 0. Let z be (-2)\/((g\/12)\/(-4)). Which is the closest to -5\/9?  (a) -2  (b) 1  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183653 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -18*u**2 + 10*u + 123. Let m(x) = 26*x**2 - 14*x - 184. Give 5*m(w) + 7*v(w).\nAnswer: 4*w**2 - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + 5*w + 15, -2*u = 2*u - 4*w - 4. Is u less than -3\/466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1033 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 5*h**2. Let l(u) = -3 + 7 + 0 - 12*u. What is l(o(p))?\nAnswer: -60*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 74*n. Let y(g) = -1706*g**2. Calculate y(w(z)).\nAnswer: -9342056*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 149977269, -1, 5 in increasing order.\nAnswer: -1, 5, 149977269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2. Let p(b) = 739479*b. Determine p(a(s)).\nAnswer: 739479*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 8*g**3 + g**2 + g - 2. Let v be 2 - (2\/(-20))\/(34\/(-340)). What is x(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7889243.5983 - 84.1.\nAnswer: -7889327.6983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 14976690*q**3 - 16205560 wrt q.\nAnswer: 44930070*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -185*k - 9. Let h(q) = -926*q - 49. Determine -11*f(x) + 2*h(x).\nAnswer: 183*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**4 - g**2 + g. Let l(n) = -n**5 - n**4 + n**2 - 3*n. Let m(i) = -l(i) - q(i). Find the second derivative of m(c) wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 342.1098 or -1.2?\nAnswer: 342.1098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (19 - (0 + -1)) + (-3 - 1). What is the greatest common divisor of 224 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -59*o + 3. Let m(d) = 1240*d - 62. Determine 3*m(g) + 62*u(g).\nAnswer: 62*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 8*x**3 - 1208*x**2 - 1136*x**2 + 2342*x**2 + 31*x as k + w*x + m*x**2 + n*x**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 5*m - 12 = -1, 2 = -2*n - 2*m. Let u = n - -3. Let c(g) = g - 5. Calculate c(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1324, 1298, 1198, 988, 632?\n\"Answer: -6*f**3 - f**2 + 19*f + 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 590340.4l?\nAnswer: 590340400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -2*k**2\/21 + 622*k\/7 + 1868\/21 = 0.\nAnswer: -1, 934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25 - 14. Let x = -6 + h. Let u be x\/2*1*4. What is the highest common divisor of u and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 14*p - 75. Give w(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 15 = 5210*z - 5207*z, 5*k = 3*z + 12 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26760*77.\nAnswer: -2060520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h**3 + 2*h**2 - 5. Let p(n) be the first derivative of 3*n**4\/4 - 2*n**3\/3 + 4*n + 6. Let i(f) = 37*f - 374. Let a be i(10). Give a*l(x) - 5*p(x).\nAnswer: -3*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vgvvvvvvvvvvgvvgvgg. What is prob of picking 2 v and 1 g?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.515036 micrometers in millimeters?\nAnswer: 0.005515036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-2\/3))\/(((p*p**(-4\/11))\/p)\/p*p) assuming p is positive.\nAnswer: p**(67\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) 12  (c) -18  (d) 5  (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 546*m**2 - 70*m**2 - 291*m**2.\nAnswer: 185*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5501 is divided by 53?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 + 12. Let s be (2\/(-12))\/((-3)\/12). Let k be (-4011)\/382 - -2*5. Put s, k, w in decreasing order.\nAnswer: w, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 4:36 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 85 + -83. Let f(u) be the third derivative of 0*u**4 + 1\/90*u**5 + 1\/126*u**7 + 0 + 0*u + 7\/360*u**6 + 0*u**3 - 2*u**z. Find x such that f(x) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99200 = -10*p - 21*p. Round p to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -259 + 254. Is h > 3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v. Let x(b) be the second derivative of -8*b**3 - 5*b**2\/2 - 15*b. Let a(s) = -s - 1. Let q(l) = -5*a(l) + x(l). Calculate y(q(j)).\nAnswer: -86*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are -20131\/209 and -96 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.95 + -0.05. Let p = -902.9 + 732. Let w = 171 + p. Which is the second biggest value?  (a) 1.5  (b) t  (c) -0.5  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - (15 - 4)) + (-282)\/47?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-6))\/((-354)\/7434*7\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31251*46.\nAnswer: 1437546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 31 = 10*p + 1, 5*w + 3*p - 8*p = -33 + 18 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 230939.2 years to millennia.\nAnswer: 230.9392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004631 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 286340, 572656, 858972, 1145288, 1431604, 1717920?\n\"Answer: 286316*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*t + l - 1 + 5, l = t - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 0*x + 5*f - 76, 3*f - 15 = 0. Suppose 0 = 4*o + x + 7. Let d = o - -11. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = y + 2. Let c(h) = 2*h - 11. Let o be c(5). Sort 6, y, o, -4.\nAnswer: -4, o, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15.2 + -24.2. Put j, -4, 2 in descending order.\nAnswer: 2, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 106.5 - 107. Let q = -3.2 - -3. Which is the biggest value?  (a) -5  (b) v  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -f**3*i + 3*f**3 + 35*f**2 + 944571*f*i - 4217*f - 3*i**2 - 2 wrt i?\nAnswer: -f**3 + 944571*f - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 9, e: 1, t: 2, g: 4, q: 3}. Give prob of sequence gzez.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (2304\/1344)\/((-46)\/28 - 105\/70)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -31*z**2 - 2*z - 5. Let l be w(-5). Suppose 348 = -m - 3*i + 1476, 0 = -4*m - 2*i + 4502. Let g = l + m. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8399 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 189842 and 63299926.\nAnswer: 8254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(44\/5)*z**(11\/2))\/((z*z*z\/(z\/(z**(-20\/11)\/z)))\/(z*z**(-12)*z)) assuming z is positive.\nAnswer: z**(563\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39, -0.1, 2\/13 in decreasing order.\nAnswer: 2\/13, -0.1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -69*l + 65*l. Let z(f) be the first derivative of 3*f**2 + 12\/5*f**5 + 39\/4*f**4 + 2 + l*f**3 + 0*f. Solve z(d) = 0 for d.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.13, -0.03, -5\/2, 11, -2.\nAnswer: -5\/2, -2, -0.03, 0.13, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -148, -247, -344, -439?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 0*c - 2*c - 6, -t = 5*c + 11. Let i(n) = -4*n - 1. Let o be i(t). Sort 4, -3, o in descending order.\nAnswer: 4, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 359 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (56\/(-12))\/((-1101)\/734)\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10222 (base 5) in base 2?\nAnswer: -1010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from hhzihhhhhzzcxhz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 56\/(-2)*178\/(-623).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28144359517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -2*k - d + 1302, 2588 = 2*k - 2*d. Suppose 2*y - k = 2*w, -4*y - w - 33 = -2624. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57657*c - 214078*c - 134053*c.\nAnswer: -290474*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.291 to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19778, 38365, 56946, 75515, 94066?\nAnswer: 112593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Expand (5*z**3 - 3*z**3 - z**3)*(2 + 1 - 1)*(-24 + 26 - 3*z**2 - 2*z**2).\nAnswer: -10*z**5 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 509 or 515?\nAnswer: 509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, q: 9, p: 6}. Give prob of sequence hpph.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -825489170 divided by -75044470\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2*k**3 - 2*k**2 - 3*k + 2. Let v(a) = a**3 - 10*a**2 + 10*a - 7. Let r be v(9). Suppose -s + 9 = -5*m - 3, r*s - 4*m = 12. What is b(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 216 is divided by 60.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*z + 30*z - 6*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 2*c + 3*c = -16, 5*o - 2*c = 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(63) + 1)**2 - (-1*sqrt(343) + sqrt(343))**2) + 0.\nAnswer: 6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - -24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 663136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 55 and 785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - -9.6. Let r = -0.32 - f. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7628*a = 7630*a - 4*p - 10, 2*p + 18 = 2*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-4) + (-3)\/6. Suppose -g + 2 + 1 = m. Let b(u) = -3*u + g + 4*u + 9. Calculate b(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - y + 12 = 4*t, -2*t + 2*y = -12. Let j(v) = v - 1. Let g(f) be the third derivative of f**4\/8 - f**3\/3 + 29*f**2. Give t*j(b) - g(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0175286 rounded to four decimal places?\nAnswer: 0.0175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -4*j + 16, 0*g - 11 = -2*g - j. Let 34*y**2 - 15*y**2 - 15*y**2 - g = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {o: 6, v: 1, c: 2, z: 6, p: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*a**2 - 1 + 6 - 2*a**2 + (-112*a - 146*a - 129*a)*(2*a - 3*a + 2*a) as j*a**2 + g*a + y and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 4*l**2 + l. Let z be j(-1). Let d(n) = -n**3 + 69*n**2 - 59*n - 607. Let g be d(68). Put z, -5, g, 4 in descending order.\nAnswer: g, 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (46 - 81*w + 165*w - 86*w)*(-10*w**2 - 438 + 438).\nAnswer: 20*w**3 - 460*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 430 and 1582615.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 3*i**3. Let v(f) = 4*f**3 - f. Calculate 3*d(m) - 2*v(m).\nAnswer: m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -7 + 19, f - n = -4. Let o(s) = s**3 + 15*s**2 + 2*s - 9. Let i be o(-15). Let j = 45 + i. Is j at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6 or 652987?\nAnswer: 652987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57857396 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3*s + t = 37, -t + 58 = 3*s. Let c be 8\/(-28) - (-405)\/s. Let g = c + -11. Which is bigger: 7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/((-48)\/(-30)) + 464\/(-112)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r**2 - 872420*r**3 + 0*r**2 - 1 + 3 + 872406*r**3 - 33*r to the form a*r + s + z*r**3 + o*r**2 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -34\/263 or 0?\nAnswer: -34\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 PM and 12:49 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10.5 + -10.44. Do 1\/4 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -58*k + 132*k - 12 - 65*k. Let x(z) = -9*z + 11. Let g(r) = 5*u(r) + 6*x(r). Differentiate g(a) with respect to a.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1269906185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i**2 - 7*i + 5. Let w(z) = 18 - 2*z**2 + 9*z - 24 - z. What is 4*f(m) + 3*w(m)?\nAnswer: 2*m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1109, -2033, -2589, -2591, -1853?\n\"Answer: 31*u**3 - 2*u**2 - 1135*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 213 and 5033829.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -5*g + 4*g - 24, 0 = -2*a + 4*g + 24. Suppose -2*v = 2*o + 3*v - 23, a*o = 5*v + 1. Factor u**2 + 0*u**3 + 0*u - 1\/2*u**o - 1\/2.\nAnswer: -(u - 1)**2*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -89*k + 1782. Let s be i(20). Solve -11*w = -s - 64 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of n**5\/60 - 5*n**4\/24 - 3*n**2. What is the second derivative of t(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -83, -113, -143?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 14\/9, 0.5, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39071 is divided by 257.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 10 = 2*c, 3*c + 17 = -4*j + 2. Let b = 0.7 - -0.3. What is the closest to b in 4, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k**2 + 4*k. Let r be h(-3). Solve 2*q = -0*q - r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -151 + 38. Let m = b + 111.64. Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/4))**(-18)\/(p**(-1\/4))**(-2\/3) assuming p is positive.\nAnswer: p**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o**3 - 3 + o**2 + 6*o**3 - 5*o**2 - 2*o**2 + 2*o. Let t be v(-5). Let r = -177 + t. What is r rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.893 plus 3.28?\nAnswer: 16.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.417*0.24.\nAnswer: -0.34008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {m: 9, s: 1, l: 5, y: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**7\/h**(2\/5)*(h*h**(-2\/19))\/h*h\/((h\/(h**(4\/7)*h))\/h) assuming h is positive.\nAnswer: h**(6029\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 310 - 58 = 2*m. Let p be 0*1\/4 + -56. Let w = p + m. Calculate the highest common factor of w and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 + -10. Let d be c\/7 + 229592\/(-28). What is d rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -680, -670, -660, -650, -640, -630?\n\"Answer: 10*f - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-24)*6\/9. Which is the third biggest value?  (a) d  (b) 0.4  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 + 2\/((-24)\/12). Let c(j) be the first derivative of -4 + 0*j + 4\/3*j**u - 2*j**2. Factor c(l).\nAnswer: 4*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 484187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of 0 + 2*f**6 - 5*f**4 + 5\/42*f**7 + 12*f + 35\/4*f**5 - 30*f**3 + 0*f**2. Factor o(m).\nAnswer: 5*m*(m - 1)*(m + 1)*(m + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*n - 6*n**3 - 3*n + (2*n - 3 + 3)*(1 - 1 - n**2) + (2*n**3 - 2*n**3 - 4*n**3)*(-3 + 3 + 1) in the form y*n**2 + r + j*n + h*n**3 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 375780*t**6 + 152639*t**2 - 27*t.\nAnswer: 45093600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e + -141c?\nAnswer: -140e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 27 = 5*g. Let u = -23 - g. Let w(n) = 0 - n - u + 6. Calculate w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (16 + -1)*(2 + 42 - 43). Solve g = -148*m + 145*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -36 + 54. Suppose -13*s = -f*s + 1350. Suppose -4*q + 2*q + 733 = 5*r, 2*r - 5*q = s. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -131020.8107 + -0.5.\nAnswer: -131021.3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-1) + (-13 + 13)\/(-12). Solve 0*m = m - l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/93472520 and -113\/36?\nAnswer: 841252680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.07, 0.4, -1, -3, 1\/3, -5, -0.14071?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*s**9*s*s\/s**9*s)**47 assuming s is positive.\nAnswer: s**235","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p**(1\/2)*p))**(14\/3)\/(p\/(p\/(p*p**0)))**(-32))\/((p\/(p**0\/p)*p*p)**(-26))**5 assuming p is positive.\nAnswer: p**(1649\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/414 and -77\/27494085.\nAnswer: 164964510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*m**2 - 62*m**3 + 5*m**2 + 7*m + 0*m**2 - 43*m**3 + 7*m**2 wrt m.\nAnswer: -630*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 683*d + 5281 = 824*d - 2474 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 80\/(-96)*(-8)\/5 + -1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -10\/7, -5.8, -1?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 53124*d**4*x**2 - 124*d + 14*x**2 wrt d?\nAnswer: 637488*d**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -574 and 1.6?\nAnswer: -918.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 338265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c**2 - 3114*c - 4191960 = 0. Calculate c.\nAnswer: -772, 1810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 319*y - 626. Let x be w(2). Solve -4*k - 4*d = -x, 3*d + 4 = d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4 = -8. Let j = i + 53. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 164*a**4 + 16*a**3 - 89*a**2 - 34*a + 2. Let q(l) = 330*l**4 + 33*l**3 - 180*l**2 - 72*l + 5. Let m(c) = -2*q(c) + 5*t(c). Find p such that m(p) = 0.\nAnswer: -1\/2, -2\/5, 0, 13\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 - 54*q**2 + 4*q - 219. Let m be b(54). Sort -210, m, -4.\nAnswer: -210, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 98, 2, 1, -2, -3 in descending order.\nAnswer: 98, 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express z**2 + 9*z - 12*z + 7*z + 36*z**2 in the form f + g*z**2 + r*z and give g.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/9))**(-2\/63) assuming j is positive.\nAnswer: j**(4\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i**(2\/5)\/i)**43)**8)**(-1\/20))**39 assuming i is positive.\nAnswer: i**(10062\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 9, 1, 4, 5 in descending order.\nAnswer: 9, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46471 is divided by 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 - 6*n**2 + 5*n. Let d be q(-9). Let s = -98 + d. Suppose 4*i = 2*f + 115 - 31, -5*f = -5*i + s. Solve -4*y - i = -2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 - 20. What is the greatest common divisor of i and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 - 15*z + 2*z**2 + 5 - 8*z**2 + 0*z**3 + 2*z**3. Let q = 6 + -1. Calculate the remainder when b(8) is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 2) + -66 + 64?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = 4*s - 3*d, -2*s + 0*d - 22 = -d. Is 0.3 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*w + 28 = -68*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/36*7 + 2\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 AM and 4:47 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 29655 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2020.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1053) - (2 + -1 + sqrt(13)))**2*-5.\nAnswer: -4180 + 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -823 + 831. Let a = 2 - 0. Suppose 44 - z = 5*j + x, -2*j = -a*x - 24. Solve -3*s - j = 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((6 - 2)\/(-2) - -2) + 2. Suppose -6*t - 5*t + y*t = 0. Let p = -2\/209 + -201\/836. What is the third biggest value in p, t, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 3*k - 4*g - 26 = 0, 0 = 3*k + 5*g - 27. What is the greatest common divisor of k and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 13, z: 3, g: 3}. Give prob of picking 1 z and 1 k.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1104 + -1101. Let z(r) = -5*r**2 - 5*r + 2. Let y(h) = 4*h**2 + 4*h - 1. Determine q*y(n) + 2*z(n).\nAnswer: 2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -4 + 384*v**2 - 385*v**2 - 8*v - 6*v. Let r be t(-12). Find the third derivative of -6*w**2 + r*w**4 + 2*w**2 + 35*w**2 wrt w.\nAnswer: 480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -371 + 375. Solve -g*z = -13 - 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.032492*-0.2.\nAnswer: 0.0064984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of 41*q**5\/60 - q**3\/6 + 5*q**2 + 3*q - 15. Let o(a) be the second derivative of m(a). Let t(z) = z. Give t(o(i)).\nAnswer: 41*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 + 10. Let a(l) = -41*l**2 + l - 23. Determine a(t) + 3*c(t).\nAnswer: -44*t**2 + t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4018053852?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/1)\/((-10)\/28)*258870\/60403\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and 212890.\nAnswer: 1064450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11261.00059202 - 11261. Round p to five dps.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1642294960 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 4403*y + 74. Let z(m) = -587*m - 10. What is -5*r(n) - 37*z(n)?\nAnswer: -296*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/324 and 41\/54.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.24 - -0.32. Let k = 2.12 + n. Let g = k - 2.5. Sort -3\/7, 1\/7, g in descending order.\nAnswer: 1\/7, g, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01166366497 rounded to 4 decimal places?\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z**2 + 17*z + 2. Suppose 4*q = 4*s + 4, 0 = 4*q - 2*s + s - 16. What are the prime factors of o(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1803 + -1802.7377. What is h rounded to 2 decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1411, 1410, 1421, 1450, 1503, 1586, 1705?\nAnswer: 1866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1777278.\nAnswer: 2, 3, 296213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**5 + 14*j**4 - 22*j**3 + 12*j**2 + j - 2.\nAnswer: -(j - 2)*(j - 1)**3*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 2*c + 3*s - 13 = 0, s - 7 = 2*c. Suppose 18 = -f - 4*i, 3 = -5*f - i - 11. Let a be f - (-2)\/(-7)*-9. What is the closest to 1 in c, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-129)\/4)\/((-180)\/(-8)) and -149\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8286\/(-16860)*(-8)\/(-122). Let q = g + 12\/305. Let f = -580\/2529 + q. What is the smallest value in f, 3, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1687212.\nAnswer: 2, 3, 46867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6480 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h - h - 4 + 1. Let k be 66\/16 + (-3)\/24. What is o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -b**3 - 5460*b**2 - 524961*b + 2761430 = 0.\nAnswer: -5362, -103, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k + 61463*k**2 - 2*k + 0*k.\nAnswer: 61463*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1210 and 75?\nAnswer: 18150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 6853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 263753 and 4595.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 228\/7*d + 2\/7*d**5 - 86\/7*d**3 + 6\/7*d**4 - 22\/7*d**2 + 160\/7 = 0.\nAnswer: -8, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 384\/(-39) + 10 + (-80)\/182.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - o = 0. Suppose o - 1 = -j. Factor -j + 0*c**2 + 3*c**2 - c**2 - c**2.\nAnswer: (c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*j**3 + 8777*j**2 + 3562*j - 3 wrt j?\nAnswer: 24*j + 17554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 9) + -16 + 17 - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/5)\/q**(-7))\/(q**(-7)\/q**(1\/5))*(q\/(q\/(q*q**0)*q)*q)**(1\/53)*((q*q**1)\/q*q)**17 assuming q is positive.\nAnswer: q**(12672\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-2\/9)*c*(c**(7\/2)\/c)\/c)**(16\/9) assuming c is positive.\nAnswer: c**(536\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -1, 0.6, 2\/11, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/3*0 + 1 + 2. Suppose 0 = 3*b - 15 + z. Suppose r = 2*r - 3*w - 100, -w = b*r - 348. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + c = -7, -c + 5 = -2*u - 6. Let l(h) = h + 2 + 2 + 0*h. Let i be l(u). Solve 5*t + i = 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/64 - -161\/64. Suppose 25 = 5*p, -3*f + 2*p + 2 = -0*f. Is f less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*l = 32*l - 1421 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*j + i - 11, 6*i - 5*i + 3 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of 11*d**6\/30 - 3*d**5\/5 - d**4\/3 - 5*d**2. Solve y(v) = 0.\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 1. Let q(s) = 4*s + 53. Let z(j) = -a(j) - q(j). Let w be z(-17). What is the units digit of (567\/w)\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*k - 8*k - 4*k)*(-1 + 0 - 2) - 2*k - k + 4*k.\nAnswer: 67*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of -27*n**2 - 42*n + 0 - 3\/4*n**4 + 0*n**3. Find the first derivative of c(i) wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -3*i + 5*i - 5*i + 6*i. Let a(s) = 100*s. Calculate u(a(t)).\nAnswer: 300*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -8*u**2 + 202*u - 912. Give l(19).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 - 1 - (-511 + 512).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 48 + 4. Let q = 99 - g. Let z = q + -7. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = i + 3 + 15, i = f - 12. What is the common denominator of (-1006)\/(-40) - (-6)\/i and -67\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 19*c**2 - 8*c - 1423.\nAnswer: 38*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 418703031?\nAnswer: 3, 46522559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 5*k - 31. Let o be j(7). Suppose -o*m - 8 = -2*t, -2*m - 2*t + 7*t - 20 = 0. Solve m = 5*d - d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5c89 (base 15) to base 6.\nAnswer: -231120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -3. Let b(i) = -i**2 + 1. Determine 3*b(p) + t(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + d = -41, 3*d + 7 = 2*b - 12. Calculate the greatest common divisor of 32 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {a: 1, e: 2, b: 7, n: 2, c: 7}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 450 is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/24 of a day in seconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/17, 4, 12, -2\/3, 5, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oyqrz. Give prob of picking 1 y and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 0 + 1 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = o + 3*z + 2*z, z = 3*o - 5. Find the common denominator of 13*o\/36*-1 and 93\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 43659*c**4 - 49158*c**3 + 7188*c**2 + 4216*c - 64 = 0?\nAnswer: -2\/9, 8\/539, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 3)*(32 - 207 - 269)*(-3*x + 0*x - x).\nAnswer: 1776*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25573*m**3 - 2*m**2 + 51087*m**3 - 25541*m**3 - 10*m to the form n*m + z + d*m**3 + p*m**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36 and 2131956.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of 1\/4*z**4 - 3 - 8*z + 7\/3*z**3 + 3\/2*z**2. Let l be q(-6). What is the highest common divisor of 4 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*t, 3*t + 16 = 3*l + 7*t. Suppose -2*f + l + 14 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 32\/5 of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + i - 3*i. Determine c, given that 2\/9*c**3 + 0*c + i - 2\/9*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2*n + 3*n - 2 - 3*n - 9*n. Suppose 3*b + 0 + 3 = 0. List the prime factors of y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172 = -5*d + 178. Let k be (-18)\/(-4) + 1\/(-2). Suppose o = -k*o + d. Calculate the highest common factor of o and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -5*z - 6057. Let k(r) = 6*r + 6730. Let c(d) = 9*k(d) + 10*y(d). Let u(w) = w + 1. Let j(f) = -f - 1. Let p(s) = 3*j(s) + 4*u(s). Give -c(q) + p(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 53, 34, -11, -94, -227, -422, -691, -1046?\n\"Answer: -2*l**3 - l**2 - 2*l + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*45.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 - 22*l**2 - 40*l + 11. Let p = -5 - -9. Suppose 0 = -2*v + 5*j - 65, p*v - 15 = -j - 90. Does 4 divide n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 942186901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -2*j**2. Suppose 373 - 373 = 4*a + 14*a. Let t(c) be the second derivative of a*c**2 + 5\/3*c**3 + 22*c + 0. Calculate d(t(r)).\nAnswer: -200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1799923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 plus -22435094?\nAnswer: -22434403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 9:22 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 12) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 4621660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363) + 2 - 1*sqrt(3)*-2)**2.\nAnswer: 52*sqrt(3) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 523*v - 3*v**2 - 1 + 3 - 991*v + 468*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12034383 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4024902 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 9\/7, -1403, 5\/4 in increasing order.\nAnswer: -1403, -18, 5\/4, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1470425806 to the power of 1\/2, to the nearest integer?\nAnswer: 38346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-68)\/(-24) - 3 - (-3342)\/(-36). Let v be 2\/(-76)*((-111)\/g + -1). Let j = v + -14097\/7657. Find the common denominator of j and 111\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -199*u + 201*u - 5*u**3 - 2 + 2*u**2 + 2*u**3 - 4*u**3 in the form c*u**3 + y*u + f + n*u**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -379\/7 + 54. Let v = 10 + -35\/3. What is the smallest value in -2\/7, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -t + 5*u + 5, 21 = 4*t + u. Suppose g - 5 = a, t*g - 2*g + 4*a = -2. Suppose 2*d - g*p - 346 = -p, 2*d = -p + 337. What are the prime factors of d?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/(-14) - 2\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 18 = 2*j, 104*o - 21*o - 88*o - 51 = 19*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -107 + 110. Suppose -5*o + 4*o + 100 = 5*k, 0 = 4*o. Factor a*j**3 + 4*j**3 + k*j**2 - j**3 - 2*j**3.\nAnswer: 4*j**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 43498 + 0.5.\nAnswer: 43498.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -3*j - 9. Let i be (j\/(-18))\/(6\/(-8)). Let c = -69\/44 - -395\/308. Put i, 4, c in increasing order.\nAnswer: c, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12008049199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*h**2 + 2*h**2 - 3*h**2)*(-h**2 + 0*h**2 + 0*h**2) - 1301*h**3 + 1301*h**3 - 3*h**4 in the form j*h**3 + o*h**4 + v*h + d*h**2 + k and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 11:06 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of 2*m**2 + 52*m + 8. Let r be j(-12). Suppose s - 145 = 5*k + 708, r*k + s = -686. What is k rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 329006 + -329184.227. Let g = 178.065134 + v. Let o = -0.162 - g. Round o to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -4*f - 13. Let g(l) = -l - 3. Let k be g(f). Solve 23 = k*v + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (20 + -22)\/((1*339)\/3). What is the nearest to -1 in 0, y, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xvvxxxvvxvxxxvxv. What is prob of picking 2 v and 2 x?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 407\/270 + -8\/5. Find the common denominator of j and 5\/(-10) + (-1027)\/156.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -15 + -4677133?\nAnswer: -4677150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12404869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*a - 82*a**2 - 28*a + a - 13*a - 16*a.\nAnswer: -82*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 + 3*x**2 + x + 12. Let z be t(4). Solve 0*i = 3*a - 2*i + 2, -a - 5*i - 29 = z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(6\/2)*5)\/(81\/162)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 1:47 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-93)\/(-4))\/(2 + 15\/(-12)). Calculate the smallest common multiple of 1 and (l - 0) + 5\/(1 + 4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -246353 divided by 53.\nAnswer: -246353\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = -2*x + 8, 177*x + 3*j + 12 = 180*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 248*x**4 + 246*x**4 - 10*x + 2*x to the form y + z*x**4 + d*x**2 + w*x**3 + k*x and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + 49. Let v = u - 88. Let s = 34.9999966 + v. Round s to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 60 - 117. Let r = 59 + y. Suppose -3*x - 48 = -r*q, x + 0*x = 4*q - 96. Calculate the remainder when 71 is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -6\/53, -2\/753, -6\/7, -0.4, -11?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 38317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22531067 to the nearest integer?\nAnswer: 4747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 451204?\nAnswer: 2, 13, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 64813414931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 311*l = 7815571 + 359064. Does 37 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l**2 - 17*l + 1 + 111*l + 458*l.\nAnswer: l**2 + 552*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/((-15)\/(-576))*32\/128?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/48)\/((-5)\/(-100)*5).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -647 divided by 459974\nAnswer: -647\/459974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 177*k - 465 - 1208 = 1690 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -989536, -3958145, -8905830, -15832591?\n\"Answer: -989538*n**2 + 5*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.21  (b) 2\/9  (c) 9  (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/f**(2\/7)))\/((f\/f**(-2\/7)*f)\/f) assuming f is positive.\nAnswer: 1\/f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*c + 0*c**2 + 4*c**2 - 7*c**4 - 4*c + 7 - 5 to the form p*c**3 + y + h*c**2 + j*c + i*c**4 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of j**5\/60 + j**4\/4 - 5*j**3\/3 - 2*j**2. Let i be k(-8). Let c = i + -2. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -419*k = -104*k + 7362 + 1458 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.423421 + -0.4207. Round g to 5 dps.\nAnswer: 0.00272","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand -19*i**3 - 17*i**3 - 74*i**3 - 2 + i**3 + 2 + (-2*i + 2*i + i)*(i**2 - 4 + 4).\nAnswer: -108*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(1\/19)*q)\/(q*q*q**2*q)*((q**(1\/5)*q)\/q*q)**(-50))**26 assuming q is positive.\nAnswer: q**(-31590\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3651 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3129060847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10) - sqrt(500)\/sqrt(2))\/((sqrt(15) - sqrt(135))\/sqrt(3)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -51 + 56. Let w be (-29320)\/(-16)*2\/k. What is w rounded to the nearest ten?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3 + 6621494*s**2 - 5480506295232*s - 27402697013760.\nAnswer: -2*(s - 1655376)**2*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) -766  (c) -2\/21  (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 10*w - 12*w + 6455955, -2*y = 3*w - 12911909. Suppose -3600047 = -12*b + y. What is b rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 57\/2 - 30. What is the nearest to -1 in q, 2\/5, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -170 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {o: 7, b: 2, n: 3, w: 1, p: 4, f: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuju when four letters picked without replacement from juujuujuuuuuuuujuj.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4842461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1164461 + 5?\nAnswer: -1164453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(5\/4)*((c*c**(-1\/4))\/c)\/c)**(35\/4) assuming c is positive.\nAnswer: c**(-105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19864636 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 11506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of 0*o**4 + 5*o**2 - 3\/2*o**3 + 0*o - 19\/60*o**5 + 0. What is the derivative of n(w) wrt w?\nAnswer: -38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d - 11. Let o be c(-12). Let i(y) = 201*y**3 + y**2 + y - 1. What is the tens digit of i(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -15*f - 22. Let m be 1 - (-66)\/(-62) - (-1800)\/(-930). Give r(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -2.3. Let k = -17.586 + 0.086. Let p = k - -17. Which is the nearest to z?  (a) p  (b) 4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 7:34 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 AM and 4:57 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -4. Let d = i + 1.0008. What is d rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + 1 - (2 + -2). Suppose d = -1 - f. Let w = -92.6 - -94.6. What is the second biggest value in 0, w, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*w + 66 = -26*w - 3*q, -5*w = q + 62 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 0, -2\/5, -0.22, -4?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {c: 6, s: 2, a: 4, j: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -28, -29, -6, 53, 160, 327?\n\"Answer: 2*r**3 - 15*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.84 + 0.2. Let k = g + -0.04. Let t = -0.6 + 0.3. Which is the biggest value?  (a) t  (b) k  (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2635 is divided by 165?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -6*s**2 + 4*s + 2. Let m be a(5). Suppose 3 = -5*y - 2. Let b = y - m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 43903362 and 22897.\nAnswer: 307323534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-five halves of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 8*i - 3. Suppose -30 = 7*g - 2*g. Let o = g + 13. Is c(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 4 - 2 - 1 - 19*u + 14*u. Is z(-7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -488 - -50265\/103. Suppose -4*i + g - 82 = 0, 3*i + 5*g = 4*i + 11. Let u be 7*(-5 - 102\/i). Is u equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -750b95 (base 14) to base 16\nAnswer: -3c695f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(-3)*(-1)\/(-2). Let p = 2 - t. Find the third derivative of -3*i**6 + i**p + 0*i**2 + 4*i**6 wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes before 11:17 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -3901001 less than -3901003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 182\/5 + -36. Let p = 7.52 - 12.52. Let h be 16\/(-30)*9\/(-6). What is the closest to g in p, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -463*v**5 + 3*v**4 + 46*v**2 - 79153*v + 3 wrt v.\nAnswer: -9260*v**3 + 36*v**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 227 - 242 = 0, -y = -5*b - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 - r**2 + 17*r + 7. Let q(k) = -k**3 + 4*k**2 + 2*k - 20. Let v be q(3). What is the smallest common multiple of z(v) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 - 4*t + 6. Let o be (-18)\/4*(-76)\/(-57). Calculate j(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/11*(1 - -10). Solve -2*t + b*g - 16 = 0, -3*g + 25 - 11 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/20 + 24\/(-20). Is 28\/(4 + (103\/(-21) - d)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c**3 - 2*c**2 - 5*c. Suppose -19*m - 58 = -48*m. Let a(v) = -4*v**m + 2*v**2 + 3*v**2 + 2543*v - 2542*v. Give -4*a(k) - l(k).\nAnswer: -2*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/6*3*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4229 minus 25454?\nAnswer: -21225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 7\/12412?\nAnswer: 7\/12412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-24)\/(-12 - (-1616)\/136). What is the highest common factor of y and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29576, -49926, -70278, -90632?\nAnswer: -110988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 10:34 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - c + 1735 = c, 0 = -c - 5. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of -8149*f**5\/60 + f**2 - 495*f - 1. Let c(r) = 2*r. What is y(c(z))?\nAnswer: -32596*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31410.\nAnswer: 2, 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -723\/40 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y**2\/6 - 601924*y\/3 - 1203847\/6 = 0.\nAnswer: -1203847, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 25772, 206236, 696056, 1649906, 3222460, 5568392, 8842376?\n\"Answer: 25779*p**3 + 4*p**2 - p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 4*c - 10, -2*c = -4*q + c + 9. Suppose 4*t + 3 = 15. Differentiate -8 + 3*n**q + 7 + n**t with respect to n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/(-55))\/((-20)\/22)*9\/((-1404)\/60)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -17\/41?\nAnswer: -17\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**3 + 26*b**2 - 37*b - 29. Calculate q(-14).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.6 + 0.6. Let a = y - -4. Let w = 6338 + -6341. What is the biggest value in a, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -127 + 115. Let h(x) = -5*x - 52. Let l be h(q). What is the greatest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 77 - -301. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 214930123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 3*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u**3 + 19*u**2 - 2*u + 24. Let g be k(15). Let o = 264509\/24 - g. Find the common denominator of o and -71\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d + 1. Let b be s(1). Let m be (2 - 60)\/(b + -5). Let j be m + 5\/((-10)\/4). What is the greatest common factor of j and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 0 = -15. Let p be 6\/(-21) + (-74)\/(-14). Let a(t) = -771*t - 769. Let f be a(-1). Solve 5*h - 5*c - 5 = -f*c, p*h + m*c = 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 2:16 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-1\/2)*z*z)**7 assuming z is positive.\nAnswer: z**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 3*x**2 + 5*x + 5. Let u be b(-2). Let o(r) = -r. Let n(w) = -6*w + 2. What is u*n(k) + 3*o(k)?\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 2*j + 259 = 0, -4*p - 5*j + 237 - 23 = 0. Let l = 39 + p. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(462) + -2*(-1*sqrt(462) + sqrt(462)) + sqrt(462))\/(((sqrt(88) - -2*sqrt(88)) + sqrt(88))\/sqrt(8)))\/(-5*1*sqrt(216)).\nAnswer: -sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.03973 + 502.03973. Which is bigger: n or -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 2*h = 3*h - 10, 2*z + 5*h = 24. Let r = -105 + 97. Let b(v) = -5*v - 36. Let k be b(r). Solve -3*p = -k*p - 3*y + 11, 2*p = -2*y + z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (6\/(-4))\/((-3)\/(-102)*-3) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2114*a + 42 + 2*a**2 - 2114*a.\nAnswer: 2*a**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 38 - (-9 + 4 - -6) - (-25 + (21 - -4))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = 14*b + 36, -540*b = -539*b - 5*m - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 25*c - 153. Let n(o) = 42*o - 308. Let s(z) = 5*j(z) - 3*n(z). Let l(v) = -v. Give l(s(f)).\nAnswer: f - 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 24*r = -20*r - 116, 4*y - 96 = 6*r. Calculate the least common multiple of 207 and y.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 717?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - -2)*(38 - -2). Suppose -4*b - 8 + v = 0. Let s = -4 + b. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of v**4\/12 + v**2. Let o(h) = -16*h**2 + 19*h - 8*h - 11*h. Calculate o(x(l)).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 17*x + 63 = 0. Suppose 0 = 8*g + x*g - 4035. List the prime factors of g.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-28)\/24 - -2)*(-852)\/(-355). Let b(q) be the second derivative of -q**4\/6 - 5*q**3\/6 + q**2\/2 + q. Let l(a) = a**2 + 2*a - 1. Give u*b(t) + 5*l(t).\nAnswer: t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 730000 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-5 - -3) - (6 + 7 - (46 - -20)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*u + 46801 - 739168 - 282087 = 0. List the prime factors of u.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 - 23*p**2 + 160*p + 4032. Calculate i(-22).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*n**6 - 51499*n**3 + 6*n**2 - 9525*n - 4?\nAnswer: 1080*n**3 - 308994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*d**3 - d**3 + 128*d**2 - 66*d**2 - 61*d**2 + 5*d to the form l*d + x*d**3 + n + h*d**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*p**2*u*v - 4*p**2*u - p**2*v + 19400*p**2 - 8874314*p*v - 4*u*v wrt p?\nAnswer: 14*u*v - 8*u - 2*v + 38800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3188 - 3163. Solve 5*p - 3 = -4*q - 23, p = 5*q + m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ytitgit. Give prob of picking 2 i and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4041 - -5842. Let u be i\/(-4)*(-12)\/(-54). Let x = u - -100. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56522677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2130 = -46*z - 2590 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate t**2*z + 1083*t**2 + 2253911*t*z - 437*t + 2 wrt z.\nAnswer: t**2 + 2253911*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 316 - 314.67. Let n = -0.67 - j. Which is the second biggest value?  (a) n  (b) 0.1  (c) -0.5  (d) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + -3*(sqrt(19)*-3)**2)*1.\nAnswer: -513 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 4 + 4 + 2 - 2 + 3 + (4 - 3 - 3)*(0 + 0 - 2) + 19 - 36 + 11)*(3*z - 5*z + z) to a*z + p and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 1688*j**2 - 51*j + 6. Let h(t) = 844*t**2 - 28*t + 2. Let c(l) = 11*h(l) - 6*x(l). What is the second derivative of c(f) wrt f?\nAnswer: -1688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 58207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -285296*j**2*k*u + 10*j**2*k + 17528*j**2*u - 1353*j wrt k?\nAnswer: -285296*j**2*u + 10*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of -7*z**5\/60 - z**4\/24 - z**3\/6 - 2*z**2 + 9. What is i(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (57*m**4 - 57*m**4 - 6*m**5)*(4 + 1 - 6 + (-3 + 2 + 0)*(-1 + 3 - 3) - 5 + 3 + 3 + 2 - 4 - 1 + (1 - 2 + 0)*(-3 + 0 + 2)).\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*f - 24, -40*d - 4*f = -45*d - 44 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 + 29*j**2 + 24351*j - 146945. Give n(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 2.3, 0.1, -1?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10320458*f**2 + 10320458*f**2 - 6*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -36.348 - 0?\nAnswer: -36.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -6  (b) 430069\/4  (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -716 - -719. Solve -j + 2 = d*a, 5 + 3 = 4*a - 4*j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 9*d**2 + 72622*d + 8069 = 0. Calculate d.\nAnswer: -8069, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010010 + 10011011011110?\nAnswer: 10011100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*g + 27*g + 9*g + 22*g + 179*g**2 + 3 - 81*g.\nAnswer: 179*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -1884*z - 1866*z + 3750*z - 7579*z**2 as m*z**2 + n*z + t and give m.\nAnswer: -7579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lh when two letters picked without replacement from {l: 2, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -1. Suppose x = 2*n - 1 - 1. Let c = 0 - n. Sort 5, 0, c in decreasing order.\nAnswer: 5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/4)*r**(-1\/11)*r)**(1\/45)*(r**5*(r*r*r**3*r)\/r*r)\/(r**(-1\/10)\/r**2) assuming r is positive.\nAnswer: r**(8663\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/6 - (-34)\/6. Suppose -31 = -w*f + 64. Solve k = -5, -6*k = -3*z - k + f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 - 6*l**2 - 5*l + 3. Suppose -235*a - 2142 = -242*a. Let x = a + -310. What is m(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.5  (b) -1\/2  (c) 0.3  (d) 3\/5  (e) 5  (f) -70\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -267, -498, -729, -960?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 14 = 2*m, l + 0*l = -4*m - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7303 is divided by 72?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-14)*((-12)\/45)\/(144\/(-1080))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -111295, -445277, -1001915, -1781209, -2783159, -4007765, -5455027?\nAnswer: -7124945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 113192045 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -827975, -827978, -827981?\n\"Answer: -3*f - 827972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2095309331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1174121142?\nAnswer: 2, 3, 9413, 20789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k - 5*i, 4*i + i + 20 = 5*k. Suppose 0 = -5*b - 25 - 30. Sort -2, b, k.\nAnswer: b, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 333 = -7*n + 4*n. Let t = -58 - n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3666 = 22*z - 16*z. Calculate the remainder when z is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -4. Let w = 615 - 616. Let u(i) = 7*i**2 - 1. Let d(f) = 8*f**2 - 1. Let g(a) = -6*d(a) + 7*u(a). Determine w*z(j) + 4*g(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300) + (sqrt(300) + -2*(-1 + sqrt(300)) - sqrt(300)))**2 - ((-4 + sqrt(27))**2 + (sqrt(12)\/sqrt(4))**2 + -3).\nAnswer: -16*sqrt(3) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 28699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 163\/13632444 and 97\/3029432.\nAnswer: 27264888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -136*p - 2. Let r(g) = -g. Calculate b(r(q)).\nAnswer: 136*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5\/6  (b) -2\/3129  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*f**4 - 4*f**4 - 3*f**2 + 20*f - 14*f**4 wrt f.\nAnswer: -48*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q + 18. Let l be s(-8). Suppose -3*n - 31 = -3*m + m, -34 = -l*m + 2*n. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, y: 2, u: 2, f: 4}. Give prob of sequence yx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 5*n = 5, 0 = w - 4*n + 8. Let q = 607 - 605. Suppose w*z + q*z - 378 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 13 = -4*j. Solve g + 3*u + 2 = -6, j*g - 5*u = 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + -0.9. Let z = 172 - 171.6. Suppose 6*o + 6 = o - r, 3*o - 6 = -3*r. Which is the nearest to j?  (a) o  (b) -3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and 0.1036.\nAnswer: -0.0518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.11 or -6082?\nAnswer: -6082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 minus -7206947?\nAnswer: 7206941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 6 + 4)*(-3*g - 3*g + 4*g)*(-g + 0*g + 0*g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4405 = 5*o + 5*j, 6*j = -5*o + 3*j + 4397. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 881 + -6999\/8. Let c = -22693\/20 - -2267\/2. What is the common denominator of c and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -66308300 rounded to the nearest one hundred thousand?\nAnswer: -66300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 24*i**3 - i**2 - i + 1. Let u be h(1). Calculate the highest common divisor of 69 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 5*l + 35 = 0, 3*l + 4 + 6 = 5*m. Suppose -4*n = 3*o - 4949, -3*n + 2019 = -m*o - 1729. Does 94 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 + 17. What is the second smallest value in -0.1, l, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 5 - 35 = -9*k, 0 = 3*q - 4*k - 56. Solve 2*s - 5*w = -w - q, 5 = -5*s + 3*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 269*a - 69*a - 110*a + 3330 = 0 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -30\/7877 - -5475025\/133909. Let y = g - 41. Let p = -30.8 - -30.3. Which is the smallest value?  (a) p  (b) 3  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 6796, -0.04.\nAnswer: -0.04, 5, 6796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 391*h - 1564. Let w be y(4). Solve -3*s + w*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19623222 to the power of 1\/2, to the nearest integer?\nAnswer: 4430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57 and 8075?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 183843 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -73*q**2 + 1213. Let k(r) = -3*r**2. What is f(k(j))?\nAnswer: -657*j**4 + 1213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 AM and 11:07 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14671 - 7*c + 2217 + 12454.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*h + 93*h + 0 + 0 - 45*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1209 - -1209. Let h = 0 - 0. Let x = 0.9 - 1. What is the closest to i in h, -0.3, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*k, -6*k = -c - 8*k + 1941. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 3*f + 3, 0 = -3*f + 2*r + 20 - 2. Let b(z) = -z**2 + 4*z - 7. Let k(j) = -9*j**2 + 33*j - 57. Calculate f*k(m) - 33*b(m).\nAnswer: -3*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*y**2 + 1295*y + 83300 = 0. What is y?\nAnswer: -140, -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4314 or -4340?\nAnswer: -4314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 157753 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 131*g = 140*g - 12159. What is the highest common factor of 35 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*c - 4*x, -6*x + 3*x = 4*c + 13. Sort 37, 2, c.\nAnswer: c, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1297 (base 13) in base 4?\nAnswer: -221203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.11126752 + -137.27.\nAnswer: -137.38126752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -8. Suppose 3 = -2*g + 2*b + 1, 5*g = -2*b + 23. Let v(c) = -c**2 + 4*c - 3. Let w be v(2). Sort g, w, z.\nAnswer: w, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of 0 + 0*v**7 + 5\/336*v**8 + 1\/6*v**5 - 5\/3*v**3 + 5\/8*v**4 - 21*v**2 - 1\/6*v**6 + 0*v. Let c(g) = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-6*(1 + (sqrt(2) - 3*sqrt(4)\/sqrt(2) - (sqrt(18) + 1 - sqrt(18))))*1)**2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5200 and 15660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1976\/(-220) - (-846)\/(-46530)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6 - -2)*49\/(-14). Suppose -p = 2*z + 5*l, 2*z = 6*z + 3*l. Suppose 0 = 5*r - 2*r + 9, 0 = -2*c + z*r + 9. Sort 2, c, 17.\nAnswer: c, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 + 9. Suppose -3*p - 4*k + n*k + 100 = 0, -3*k = 4*p - 138. Let o be ((-32)\/6 + 4)\/((-1)\/3). Solve -5*w + 0*w = -4*a + p, -4*w = 5*a - o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-362)\/5973 + 4309\/(-2046).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 49067598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34\/(-799) + (-996)\/3102.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*r + 5620 - 5450 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -186 greater than or equal to 84157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-2\/103)\/l)\/l)**(-28))**(-33) assuming l is positive.\nAnswer: l**(-192192\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 62 - 85 - ((1 - 0) + (-6 - 1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of 0 + 0*g**3 - 1\/12*g**4 + 6*g + 0*g**2. Let t(p) = -p**2. Determine o(t(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from vwvvwwwwwvvv.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13225)\/(-230) - (-100)\/(-2)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 813805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/25)\/((-8)\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 20 = -v, 4*i + 1 = -v + 20. Let x = v - 15. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 1 + 1)*(1 + 0 + 2) - 3 + 1 + 3)*(-5 - 2*z**5 + 5).\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 72  (b) -15  (c) -1\/10  (d) -8  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -q**2 - 740*q - 35139 = 0.\nAnswer: -689, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.58655*6\nAnswer: 3.5193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 323290 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 188176167 to the power of 1\/2, to the nearest integer?\nAnswer: 13718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6495198?\nAnswer: 2, 3, 1082533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 89 in ascending order.\nAnswer: -2, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 2 - 3 + 2. Let p(k) = k + 4. Give -2*m(r) + p(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -195, -5, 2 in descending order.\nAnswer: 2, -5, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 10280 + -0.8\nAnswer: 10279.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.41 + -0.3844?\nAnswer: 9.0256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m - 3*n - 11, -3*m - 2*n - 5 = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 45*t**3 + 55*t**2 - 55*t. Let y(g) be the first derivative of 5*g**4\/4 + 2*g**3 - 3*g**2 + 130. Calculate 55*y(s) - 6*z(s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 71 - (-3103 + 3126).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 2*r = -4*x + 44, 4*r = -4. Let t = x + -9. Suppose -t*u = -9*u - 4. Let z(p) = p. Let j(d) = -3*d - 2. Calculate u*j(g) - 4*z(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -1. Let v(m) = 2*m - 8. Let u(s) = -6*s + 23. Let z(j) = -3*u(j) - 8*v(j). Let y = 405 - 404. Determine y*z(n) - 5*i(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*j - 252 = 34*j. Let f = 2 - -2. Factor 12*g**j + g**3 + g**4 + 4 - 7*g**2 - 4*g**4 - 6*g**f - g**5.\nAnswer: -(g - 2)**2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1203 - 1202.944227. What is v rounded to three dps?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 - v - 4. Let z be n(-3). Let i = 83 + z. Calculate the remainder when i is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/482 and -99\/5330.\nAnswer: 1284530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 25788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 904802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -535 - 609 = 60*k - 454 + 750 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 1744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -465 + 8?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the third derivative of -k**7\/280 + k**6\/32 - 9*k**5\/80 + 7*k**4\/32 - k**3\/4 - k**2. Factor n(d).\nAnswer: -3*(d - 2)*(d - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 681077840 to the nearest integer?\nAnswer: 26097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-45)\/(-54))\/((-85)\/(-153))*22\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the second derivative of 1\/6*p**3 + 0 - 6*p**2 + 131*p + 1\/12*p**4. Factor x(r).\nAnswer: (r - 3)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 AM and 11:59 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -3.4, -11, 2, 6?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -208, 52, -6, 4, -5, 3 in descending order.\nAnswer: 52, 4, 3, -4, -5, -6, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*p**4\/4 - 69*p**3\/2 - 339*p**2\/4 + 507*p - 387 = 0. Calculate p.\nAnswer: -43, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 210010010011110 (base 3) to base 13\nAnswer: 242b914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -10206 smaller than -71436\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7792\/11688)\/((-2)\/246).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 + v**2 - v**2)*(11 - 12 - 1 + 18*v) + 2*v**3 + v**3 - 2*v**3.\nAnswer: -53*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 - 22. Let s be 2*1 - (4 + -5). What is the nearest to 0 in 0.3, s, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2602856857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -625 and -11.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002004502918 rounded to 7 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-16)\/336)\/(2\/1054*22). Let t = -23\/22 - q. What is the closest to 1 in -1\/8, t, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 939.99 - 935. Let c = 5 - j. Let x = -0.009992 + c. Round x to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010 (base 2) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -d**2*k**3 + 36*d**2 - 59*d*k**3 - k**2 wrt k.\nAnswer: -6*d**2 - 354*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**2 + 4*x**2 - 2*x**2. Let k(s) = -6*s + 2 - 2 - 40*s + 52*s. Calculate k(f(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -2347593 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -2 - (-14 + 9 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by 15240.\nAnswer: 11\/7620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 4*n**2 + 1814*n - 9184. What is d(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**2 + 765990*k + 1531968.\nAnswer: 3*(k + 2)*(k + 255328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9534412 millimeters in micrometers?\nAnswer: 953.4412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r**3 + 42*r**2 - 231*r - 769. Give x(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -55  (b) 0.2  (c) -2\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 12, -21*t + 5*x = -19*t + 7. Suppose -5*s + 5*u - 2*u = -171, -159 = -t*s - 5*u. Calculate the least common multiple of s and 126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 467380.2 kilograms to tonnes.\nAnswer: 467.3802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159 = 107*t + 16*t + 3357. Let j = 34\/105 - 4\/105. Which is the closest to t?  (a) 4  (b) 2\/13  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11057.45 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {n: 8, g: 2, x: 4, i: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -74*w + 32*w + 15*w**2 + 48*w + 73 - 14*w**2 in the form l*w**2 + p + r*w and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1277 + -27?\nAnswer: -12a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kwklkldkkklllkl. What is prob of sequence lkl?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 - 10*h + 10. Let d be y(8). Let g(m) = m**2 + 4*m + 2. Let o(k) = 2*k**2 + 3*k + 1. Let s(a) = -4*g(a) + 3*o(a). What is the tens digit of s(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.325 and 3.\nAnswer: -0.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of -6*c**2 + 6 + 0*c**5 + 0*c**3 - 71\/24*c**4 + 0*c + 51\/20*c**6. What is the second derivative of z(j) wrt j?\nAnswer: 1836*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*-2*(-50)\/(-20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 34 - 16. Suppose -4*r - x = -42. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 0 = -2*h. Let j be (-1)\/5 - (-6)\/5. Let q = j + 1. Solve -h*y = 3*a, -2*y = 2*a + q*y + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159160 is divided by 293?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-13238)\/88 + (-2)\/(-8). Let f = g - -150. Let i = -19\/44 - f. Do 0 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -595725*b**2*p + 16514545*b**2 + 2*p wrt p?\nAnswer: -595725*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y + 7. Let k be h(-5). Let g(o) be the first derivative of 5*o + 3*o**2 - k*o**2 - 3 - 4*o + 4. Differentiate g(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6 and 7.68.\nAnswer: 46.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -3, 5, -5, 10 in descending order.\nAnswer: 10, 5, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -3*j**3 - 68*j**2 + 168*j - 102. Give i(-25).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -243280129.9+0.2\nAnswer: -243280129.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-30)*30\/(-24) + (-876)\/4392. What is the third biggest value in i, 2, -0.4, 8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 1114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 0*k - 3*k. Suppose 4 = -2*l + o, 16 + k = 4*o. Solve 0*c + 2*c = l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + 1)*(-2*z + z + 3*z) - z - 4*z + 4*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of z**3 - 220*z**2 - 124*z.\nAnswer: 6*z - 440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.62365818 to 1 dp.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*a = 21*a + a - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of -r**7\/30 - 13*r**6\/120 + 58*r**5\/15 + 56*r**2. Find the third derivative of b(i) wrt i.\nAnswer: -168*i - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*i + 140*i - 39*i - 39*i - 3*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/12)\/((-4)\/36). Suppose -w*f + 0*f - 15 = 0. Let l(m) = m + 7. Calculate the smallest common multiple of l(f) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - 0. Let q be (-2)\/(-9) + (-29)\/9. What is the lowest common multiple of 4 and (q - l)\/((-3)\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(32) - sqrt(1152))\/sqrt(8) + sqrt(4) + (3*sqrt(40))\/sqrt(10))\/(5*(sqrt(128)*-2 - sqrt(128))*2).\nAnswer: sqrt(2)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 6*u - 33. Give a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 11 = 6*k. Put -1, -2, 0, k in decreasing order.\nAnswer: k, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7305070 - 3271112. Let k = l + -5983958. Round k to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 122*f + 119*f - 246*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1776216289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, x: 4, m: 3, i: 1, q: 1, f: 2}. What is prob of picking 1 f and 1 i?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 0.3  (b) 0.5  (c) 8\/9  (d) 1\/4  (e) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.3  (b) -3  (c) 0.06  (d) -88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 19*b**5 + 13*b**5 + 4*b**5 - b**5 - 4*b**5 + 3*b**5 + (1 - 1 + b**4)*(2 - 2 + 2*b) + 2*b**5 + 2*b**5 - 2*b**5 + 9*b**4 + 2*b**5 + 0*b**5 - 24*b**4.\nAnswer: 40*b**5 - 15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/382690 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sss. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of c**4\/12 - c**3 + 3*c**2\/2 - 2791*c - 1. What is a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -4*n + 8. Let h(y) be the first derivative of 2*y**2 - 6*y + 32. Let d(b) = 6*a(b) + 8*h(b). Let x(m) = -34*m**2. Calculate x(d(q)).\nAnswer: -2176*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 25586938 a multiple of 1037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u + 42. Let s(m) = 322*m**2. Give s(i(k)).\nAnswer: 322*k**2 + 27048*k + 568008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33 + 50. Suppose -3*o - 7 + 292 = 0. Let m = o + 41. Calculate the highest common factor of m and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 11:14 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -237*a - 1555. Let i(x) = 86*x + 518. Give 11*i(r) + 4*q(r).\nAnswer: -2*r - 522","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 48 or 2.13?\nAnswer: 2.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 42341558341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -22\/513 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + 1. Let g be (-1)\/(2\/(10\/1)). What is the third biggest value in 0.5, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 35*h**2 + 149*h - 34. What is w(-30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y + 2*m + 9, -4*y - 9 = 2*m - 1. Let h be 1 + y*(-3 - -5). Let q be 1\/4*((-2)\/(-4) + h). Which is the third biggest value?  (a) 3  (b) -0.2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 351, 379, 439, 543, 703, 931, 1239?\nAnswer: 1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2937 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 542449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-66)\/(2 - (-16)\/(-4)). Let t be 3\/6 - q\/(-6). Solve -3*g - 4*v = -8, -2*v - t - 4 = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1.1, 0.5, -3, 12\/23, 0.2?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwk when three letters picked without replacement from woonowooowqqkowwwo?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11146671*c**3*o + 59*c**2*o - 8*c*o - 1108 wrt c.\nAnswer: 66880026*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - 5 - -3) + -3 + -96. Let j = y - -105. Suppose -2*s - 2*s + 8 = 0. Solve -4*f + j*f - s = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 252 = -5*j. Suppose -h = -4*o - 352, -5*o - 1672 = -5*h - 7*o. Calculate the greatest common divisor of j and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4000049)\/(-68) - 238\/56.\nAnswer: 2, 5, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 880304119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 2 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of -2*f**7\/21 - 37*f**5\/20 - 29*f**4\/2 + 20*f - 10. Find the third derivative of x(y) wrt y.\nAnswer: -240*y**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of n**4 - n - 10*n**4 + 60*n**4 - 139 + 20*n**4 + 8 wrt n.\nAnswer: 852*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 77, 5 in ascending order.\nAnswer: -2, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 4  (b) -1  (c) -0.1127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 388109.7 milliseconds to nanoseconds.\nAnswer: 388109700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -59508\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 784 + -788. What is the third biggest value in 3, 29, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 11 = 8. Suppose -2*b - 9 = -3*o, -6*b + o + 10 = -b. Let g(f) = -4*f - 1 + 10*f**b - 2 + 13*f**3 - 22*f**3 + 4*f**2. What is g(u)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2fb (base 16) to base 2.\nAnswer: 1011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -404.076*-3.\nAnswer: 1212.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/3, 0, 21789?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -123*w**4 - 6*w**6 + 4*w**2 + 123*w**4 wrt w?\nAnswer: -720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -137 - -237. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 346?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -19*i + 209. Suppose 11*v - 177 = -56. Let g be s(v). Are g and 3\/92 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -308, 5.9, 0.2, -5, -45?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(143) + -3*sqrt(143))*-1*5)\/(sqrt(110)\/(sqrt(90) + (sqrt(90) - ((sqrt(90) - (sqrt(90) + (sqrt(90) - (1*sqrt(90) - sqrt(90))))) + sqrt(90))))).\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 1071  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -4*l**4 - l**3 + 16*l**2 + l + 1. Let b(n) = n**3 + n**2 - n - 1. Let i(z) = b(z) + d(z). What is the third derivative of i(r) wrt r?\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (208\/(-24))\/((-88)\/132)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -9*z - 6. Let c be q(-4). What is the units digit of 1 + c\/(2 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.006398018547 to five decimal places.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*n = -16*n + 7*n - 21 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (23 + (-5356)\/234)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 3249*c - 11. Let f be r(1). Let s = f - 1329. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5 + (-22 - -1))*-8. Let a = 153 - u. Suppose -26*b + 12 = -a*b. Solve b = -3*h, -2*r + 6*h = 3*h - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 85692 and 11580?\nAnswer: 428460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of -3*w**5\/20 + w**4\/12 + w**3\/3 + w**2\/2 + 6*w + 2. What is i(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.5322 + -0.0322. What is the closest to -7 in m, 2, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 2*c**3 + 31*c**2 - 10*c + 9. Determine r(-16).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/(-35))\/((44\/(-8))\/(-11)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-24 + 5 - 1)*(-96 - 12*b**2 + 96) as l*b**2 + k*b + s and give l.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 61, -5\/4, -2\/9, -18, -0.2 in descending order.\nAnswer: 61, -0.2, -2\/9, -5\/4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 18*k**2 - 27*k - 1071. Does 105 divide n(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -2*s**3\/7 - 48768*s**2\/7 + 146318*s\/7 - 97548\/7 = 0.\nAnswer: -24387, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, c: 2, p: 3, k: 4, y: 1, a: 6}. What is prob of sequence ypda?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 58109 to the nearest one hundred.\nAnswer: 58100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -228470, -456939, -685408?\n\"Answer: -228469*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47492170.\nAnswer: 2, 5, 11, 97, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 459487.8 grams to milligrams.\nAnswer: 459487800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 701 is divided by 209?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -355, -358, -363, -370, -379, -390, -403?\n\"Answer: -q**2 - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (925\/(-175))\/((-42)\/735)*-8*(-4)\/40?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2113 + -1476. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/195, 3, -3\/4, -2 in increasing order.\nAnswer: -2, -3\/4, -2\/195, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 1:03 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56038 is divided by 609.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -7643*h + 27. Let r(o) = -2*o**2. Give g(r(p)).\nAnswer: 15286*p**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of 7*g**6\/120 - g**5\/60 + g**4\/12 - g**3\/6 + 5*g**2. Let l be i(1). What is the highest common factor of l and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(252) + -1 + sqrt(252) - (sqrt(252)*-1 + sqrt(252) + -2))**2.\nAnswer: 120*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-50)\/6 + 2)*3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-364)*1320\/7150*286\/44?\nAnswer: -3\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 119681 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3\/6 - 27*b**2 - 317*b\/6 + 80.\nAnswer: -(b - 1)*(b + 3)*(b + 160)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 5998680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 7*n**2 - n - 1. Let b(i) = -5*i**2 + i + 2. Let k(o) = 6*b(o) + 4*m(o). Let z be k(6). Round z to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/(7553\/(-1078) - -7). List the prime factors of (1 - h) + -7 + 8.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.070458577 to 4 dps.\nAnswer: -0.0705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 - d + 3. Let i be u(2). Let q = 25 - 24.778. Let w = q + -0.022. What is the closest to w in -2\/7, i, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**2 - 1730*a - 14160.\nAnswer: 5*(a - 354)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2*m = 6. Let v be 22\/10 - m\/10. Is v < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 806.612ml in litres?\nAnswer: 0.806612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13*m**4 + 18780*m**3 - 1613974 wrt m.\nAnswer: -52*m**3 + 56340*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 169522807 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, u: 6, g: 4}. What is prob of picking 4 u?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 13) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 2*p - 6 = 0, 0 = 117*v - 116*v + 4*p + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(3\/(-6)*-2). Let r be -180 - (-2 + 2 - u). Let l = -92 - r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((6 + 16 + 7)*(-2*d**2 - 1 + 1) - d**2 + 3*d**2 + 2*d**2)*(d + 2*d + 3 - 4).\nAnswer: -162*d**3 + 54*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1269409*h**2 + 262449*h.\nAnswer: 2538818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/((-150)\/(-200) + (-5)\/(-20)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 AM and 5:48 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.33 - 126.33. Let l = j - -129.3. Let y = 5.3078 - l. Round y to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -63\/17?\nAnswer: -63\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(5\/7))**(-46)\/((s\/(s*s\/(((s\/s**19)\/s)\/s)))\/(s\/(s\/(s*s**(-6\/7))))) assuming s is positive.\nAnswer: s**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 4*b. Let i(m) be the first derivative of -5*m**2 - 9. Determine -9*g(z) - 4*i(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2*r + 4. Let l be y(2). Suppose -t + 27 = l. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 128 + -1154\/9. Let n = -5 + 9. Let y = 4.5 - n. Which is the third smallest value?  (a) g  (b) y  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.083 plus 870?\nAnswer: 869.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of (-5)\/(-25) + (-299)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 563115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 189, 368, 547, 726, 905?\n\"Answer: 179*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-44)\/(-12) - 3)*33. Let t be (-4)\/(-22) - 92\/f. Which is the third smallest value?  (a) 0.09  (b) t  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40 and 6872.\nAnswer: 34360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/3 - (-2)\/(-16)*38?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -5*p - 52. Suppose -15 = -w - 1. What is the least common multiple of (238\/(-85))\/(1\/p) and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15871, -31735, -47599?\nAnswer: -63463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**(3\/2)*d*d**4*d**(2\/3)\/d*((d*d\/(((((d**(7\/5)\/d)\/d)\/d)\/d)\/d))\/d)\/d assuming d is positive.\nAnswer: d**(233\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-68)\/2*2\/4. Suppose 2*a = -b + 40 - 4, -36 = -2*a - 4*b. Suppose -a*w + 26 - 350 = 0. Is w at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 5*q**3 - q + q - 16*q**3.\nAnswer: -11*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4793?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12353231 - 56?\nAnswer: 12353142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -108, -151, -224, -327, -460?\n\"Answer: -15*s**2 + 2*s - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126*z + 56*z - 18 = -68*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -4\/15, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -29*u + 10. Let h(m) = 28*m - 9. Calculate 6*h(l) + 5*o(l).\nAnswer: 23*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 + 5*s**2 + 5*s - 8. Let a be p(4). Calculate the highest common divisor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/(-12)*(-12)\/(-9)*-6. Factor -3*u**2 - 86 + u**4 + b*u + 86.\nAnswer: u*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 263353169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 3*h - 11651 - 4709, 8 = -h. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -201*f**2*p**3 - f**2*p**2 - f**2*p - 4*f*p**2 + 3*p**3 wrt p?\nAnswer: -1206*f**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2327164281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = 2*z - 4, 0*y + 3*z = y + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 686712 - 15*l - 686712 + 2*l**2.\nAnswer: 2*l**2 - 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 15 = w + 4, 3*z = -3*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d + 98 = -23*d. Let x(g) = -2*g - 13. Let v be x(d). Suppose 28 = 3*c + 10. Is c <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s + 10. What is the units digit of x(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 divided by -7?\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 16 = -3*b. Suppose -b*q - q = -13645. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 436*r + 172. Let x(k) = -20*k**2. Give d(x(a)).\nAnswer: -8720*a**2 + 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**0)**30*(g**(-1\/6)*g)\/((g**(1\/21)*g)\/g) assuming g is positive.\nAnswer: g**(431\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and 5.8592175?\nAnswer: 17.5776525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 142, 269, 386, 487, 566, 617, 634?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.03 and -966117.\nAnswer: -966116.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qwwwqwwwwwwwwwwqww. Give prob of sequence qww.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*y**3 + 3*y**3 - 4*y**3 + (1 + 0*y**2 - 2*y**2 + 0)*(-2*y + 582 - 582).\nAnswer: 8*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 4 + 8*c + 8*c**2 + 9*c**2 + 4*c - 18*c**2. Let d be q(9). Suppose -u + d = -22. Does 27 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2031882, 4063737, 6095572, 8127387, 10159182, 12190957?\n\"Answer: -10*k**2 + 2031885*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -16908 divided by 2818\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 330840.9 weeks in minutes?\nAnswer: 3334876272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(102)*-4*6 + 1*(sqrt(102) - (sqrt(102) - sqrt(102)*-2)))\/((1*sqrt(84)\/sqrt(2))\/(sqrt(175) - 2*sqrt(175))))**2.\nAnswer: 287300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 78237256 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 - s. Let q be h(0). Suppose q*d = 3*d. Suppose d = 3*u - u. Solve 2*j - 2*o - 6 = u, -o + 6 = 5*j - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23462\/8 + (-10)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 4*a**2 + 9*a - 1. Let j(i) = 6*i**2 + 16*i - 1. Calculate -3*j(d) + 5*p(d).\nAnswer: 2*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) + (6*-1*sqrt(77) + sqrt(77) + sqrt(77) - sqrt(77)))*1)\/(sqrt(14)\/((sqrt(40)\/sqrt(4) + sqrt(10))\/sqrt(5))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -4*v - 5. Let h(g) = 23*g + 41. Give h(f) + 3*y(f).\nAnswer: 11*f + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -8*t + 51. Let w be n(7). Let x be (15 - 12)*w\/(-3). Solve x*f + 7 = -3*g - 0*f, 4*g - 6 = f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 7, f: 5}. What is prob of sequence ffkk?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-234)\/52*(-2)\/(-6))\/((-9)\/(-60)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 442400?\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 - 8*c - 10. Let o be k(9). Sort o, 19, 0 in descending order.\nAnswer: 19, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 2*y - 8 = 0, 3*t + 9 - 29 = -y. Find l, given that -8*l**3 + 0*l**5 + t*l**2 + 3*l**5 - 12*l**3 + 11*l**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -26, -23, -5, 306 in increasing order.\nAnswer: -26, -23, -5, -2, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrhzrhh. Give prob of sequence zh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -5*b + 186. What is the remainder when 107 is divided by k(30)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 7463471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v - 10. Suppose -4*z + 3*n = z - 21, n = 4*z - 14. Let x(q) = -42. Let g(a) = 19. Let c(p) = -11*g(p) - 5*x(p). Determine z*b(d) + 30*c(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-21))\/(2*(-6)\/126)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00484 to 4 decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 61, 120, 197, 292?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1033 plus 54?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 2*v - 257 = 0, 0 = f + 2*v - 3*v - 52. What is the greatest common divisor of f and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 113*(-66712)\/(-112096) + (-2 - (-14)\/8)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 10 + 26 = 0. Let x(i) = 14*i**2 - 4*i - 3. Is x(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22485445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d. Let g be r(3). Is 7 a factor of (g\/9)\/(4\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 2*o = 4, -2*o = -s + 3 + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(2\/9)\/j*j)\/j)\/j**(2\/3)*(j*j**(-2))**32 assuming j is positive.\nAnswer: j**(-301\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(187)\/(sqrt(1100)*-1).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -130770460 divided by 26154092\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 84 + -81. Suppose 20 = 5*h, -n*h = 4*c - 2*h - 1920. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -63030000 rounded to the nearest one million?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30835, -63050, -95257, -127450, -159623, -191770, -223885?\nAnswer: -255962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 607853.2 grams to milligrams.\nAnswer: 607853200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 298 a factor of 25340347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, -42, 2 in increasing order.\nAnswer: -42, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - 4*f + 1105, 3*g + 4*f - 1107 = f. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*((-287)\/(-42) + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3+-74059460\nAnswer: -74059463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1575 - 4359 - 6*i**2 + 2821 + 7*i**2.\nAnswer: i**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 7. Let f be (-3 - b)*(-1 - -2). Let l = -91 + 93. Sort 4, f, l in ascending order.\nAnswer: f, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 + (0 - 36\/(-8)). What is the closest to a in -1\/10, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24 - -41. Let w = 6 - -5. Suppose -40 = -q + w. Calculate the highest common divisor of q and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 679 a factor of 2370389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/(-4))\/((-10)\/(-4)). Suppose 4*z = -4*w + 84, 7*w - 2*w - 48 = -2*z. Suppose 2*d - 17 = -z. What is the closest to d in 0.4, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 10*h**2 + 24*h + 3. Let v be f(6). Let c(k) = 9*k + 1. Let r(o) = -26*o - 2. Calculate v*r(b) + 8*c(b).\nAnswer: -6*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 4*a**4 - 20*a**3 + 24*a**2 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 + 11*j - 2. Give r(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + ((sqrt(192) - (-2 + sqrt(192)*-2 + sqrt(192))) + 2 + (-1*sqrt(192) + sqrt(192) - sqrt(192)))*-6)*6)**2.\nAnswer: 100224*sqrt(3) + 279108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*g - 4. Let f(t) = 2 + g*t + 0*t + 2*t. Suppose 2 + 4 = -2*b. Let j(i) = 7*i + 4. What is b*j(u) + 5*f(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 384128 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4980 and 1129215?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -438511 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 81 and 36709182.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -1\/3, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, u: 2, l: 9, t: 3, o: 2}. What is prob of sequence ouo?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.50362 millennia in months?\nAnswer: 846043.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/1925*60\/(-24)\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2)\/22*(-69891 - -8).\nAnswer: 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, h: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m**4 - 4*m**4 + 865*m**2 + 46 - 869*m**2 + m**3 in the form d*m**3 + n*m**4 + w*m + z + r*m**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -356262, -356260, -356258, -356262, -356278, -356312, -356370?\n\"Answer: -p**3 + 6*p**2 - 9*p - 356258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 9.39*-30\nAnswer: -281.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2414*x**2\/9 + 1969018*x\/3 - 9788\/9.\nAnswer: 2*(x + 2447)*(1207*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4 and 70.7?\nAnswer: 74.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27, -2, 27, 60, 97?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 100000100110101011010100 (base 2) in base 14?\nAnswer: 11c6b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -3 + (9 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32\/((-672)\/(-7))*2*9\/(-24)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence azzf when four letters picked without replacement from aazzfzafazfzzffaaaz?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -4466*f + 21. Let v(g) = 2979*g - 15. What is -5*b(j) - 7*v(j)?\nAnswer: 1477*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11489895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1329396 - 5?\nAnswer: -132939b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.57 - -0.17. Which is the second biggest value?  (a) -0.2  (b) -3  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (-2 + 1 - (7 - 7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9209 is divided by 111.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 q when three letters picked without replacement from {v: 16, q: 4}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -2*f. Let i(y) be the second derivative of -6*y + 3 + 109\/6*y**3 + 0*y**2. What is i(c(n))?\nAnswer: -218*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 3 = 12. Let o be 204 + n + 2 + 1. Suppose -3*q = u - o - 354, 0 = -q - 3*u + 188. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 267118 + -9305111.\nAnswer: -9037993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/6 and (-1)\/((-9)\/6)*(-2655)\/120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -8*j**2 - 221*j - 443. Calculate d(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.404489 meters in millimeters?\nAnswer: 404.489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 12714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5705453?\nAnswer: 13, 19, 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2895 divided by -15.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-16)\/20)\/2 + 0. Which is the nearest to -2?  (a) u  (b) 2\/5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 107 + -113. Let w(b) = 4*b**2 + 25*b + 13. Let v be w(x). Solve -2*u - 5*k + 22 = -v, -5*u - 10 = -4*k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -135b3c113 - 0?\nAnswer: -135b3c113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 167 + 214 = 0. Calculate the remainder when k is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 209*w**2 - 6*w - 28. Is y(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -7*w**3 - 212*w**2 - 1548*w + 4. Give c(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001051054 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*t - 2*r = 18*t + 14, 0 = -3*r - 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8943 + 8942.6. What is the nearest to -1\/2 in q, 0.083, -0.3, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -5*n + 3, 0*v - v = -n + 3. Let t be (0\/n - -1)*5. Let f(p) = p**3 - 4*p**2 - 6*p. Determine f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 - 11*j + 12. Let c be a(10). Is c equal to -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 - -1. Suppose l + m - 12 = 0. Solve 0 = 5*y - 4 - l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139275918 - 139275918 - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 11, -17, -61, -127, -221?\n\"Answer: -q**3 - 2*q**2 - 15*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/4 and 97\/586.\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 + 4*l)*(-5*l**2 + 0*l**2 + 0*l**2) + 3*l**2 + 2*l**3 - 3*l**2 to the form o*l**2 + z*l**3 + w + v*l and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-226)\/(-10) + (-69)\/(-345)*(-8 - -5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 179*o**5 + 8*o**4 - 5*o**3 - 76512*o**2 wrt o?\nAnswer: 10740*o**2 + 192*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 7*v**2 - 6*v. Let x be j(-6). Suppose x = -i + c + 20, 5*i - 82 = i + 2*c. What are the prime factors of (-4)\/28 + 444\/i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5.5 - -1.5. Let x = -7.5 + c. What is the nearest to -2\/7 in -0.1, x, -0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*p + 12*p + 5*p)*(-2*p**2 + 0*p**2 + 5*p**2) to the form g*p + v*p**2 + m*p**3 + b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100000110 - -101100100001111?\nAnswer: 101011000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, 1\/8, 4, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 378 - 192 - 185. Let r(c) = -10*c - 50. Calculate -50*k(j) - r(j).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 379*z + 1346. What are the prime factors of g(18)?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 12 = -4*n. Let d be n\/(-33)*(-56)\/(-8). Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 4*c + 6 = 0. Let w(j) = j**2 - 1. Let i(z) = z**3 + 2*z**2 - z - 7. Let q(r) = -i(r) - 4*w(r). Calculate the remainder when 21 is divided by q(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 894*y - 908*y + 392 = 0. Solve -2*x = 3*x + 4*p - y, 5*x - 24 = -2*p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -200312 (base 4) to base 8\nAnswer: -4066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -16 - 5*u - 2 + 3. Let x(m) = m + 3. Let l be 4*(-2)\/(-12)*3. Let p(n) = l*y(n) + 11*x(n). Differentiate p(q) with respect to q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of 0 + 0*q**4 + 17\/60*q**6 - 71\/60*q**5 + 0*q + 85*q**2 + 0*q**3. What is the third derivative of r(h) wrt h?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -431.6 * 1\nAnswer: -431.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (180\/1485*22)\/((-1)\/9).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -115 divided by -60?\nAnswer: 23\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 640 = 13*n + 6*n + 45*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1747*j**3 + 1 - 1944*j**3.\nAnswer: -197*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2069672911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*z + 4 = -11*z. Solve -4*b = -z*c + 2, c + 5*b - 2 + 15 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20140 (base 6) in base 2?\nAnswer: 101001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 13*f - 25 + 2*f + f**2 + 22. Let y be c(-15). Let d(h) = 2*h - 3*h - 1 + 2*h. Calculate d(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/479 and 155\/37362.\nAnswer: 37362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jecj when four letters picked without replacement from {c: 2, t: 4, z: 1, f: 4, e: 3, j: 6}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12 + 4344?\nAnswer: 4411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38 - ((2 - (24 + -6) - -11) + -3).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 3*s**2 - 78*s. Let a(k) be the first derivative of -2*k**3 - 18. What is x(a(n))?\nAnswer: 108*n**4 + 468*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 2*k = -y + 13, 0 = -y + 4*k - 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95285666?\nAnswer: 2, 7, 6806119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, l: 2, k: 3, y: 1, s: 4, p: 1}. What is prob of sequence syp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 172279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/9  (b) -5  (c) -2\/3  (d) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, k: 6, z: 10, c: 2}. What is prob of sequence ckk?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**(-7\/6)\/c))\/(c*c\/c**23) assuming c is positive.\nAnswer: c**(145\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - 124*b + 822. Determine r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 902 - 129 - 53 = 72*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 9. What is the closest to -4 in -5, 5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in 2\/10879, 0.5, 2\/5?\nAnswer: 2\/10879","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 666*w = 681*w + 135 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 5*a = 21, 3*a = -0*a - 9. Solve -37*o = -34*o + z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + -24 + 34 + -35 + (11 - 2) + 107.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2244 or -2246?\nAnswer: -2246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -231, -236, -251, -282, -335, -416, -531, -686?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 176856005?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from jddsdddddsjdddddds.\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -3 + (6 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -18*x**2 - 1190*x - 138. What is z(-66)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9181, -18315, -27449, -36583, -45717?\nAnswer: -54851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -75*t**2 - 24*t + 128*t**3 - 42*t**2 + 60*t**4 + 31 - 31 - 47*t**2.\nAnswer: 4*t*(t - 1)*(t + 3)*(15*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/18 and -19\/594.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 155490 and 37630.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-45)\/(-6)*2\/3*-4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5868733303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*w**3 - 3171*w**2 - 141675*w - 1700625.\nAnswer: -3*(w + 25)**2*(3*w + 907)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 120 and 56040.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12264)\/6643)\/((-2)\/13).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 370321534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 3:02 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 27192291 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23133*c + 23116*c + 221 = 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4235, 4233, 4229, 4223?\nAnswer: 4215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -93 - -111. Let o(l) = l**2 - 19*l + 22. Let f be o(s). Let v(t) = t**2 + 8*t - 23. What is the remainder when 44 is divided by v(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 5. Let l = -7 + 10. Suppose l*s - 24 = -3*x, -2*s + u*s - 24 = -x. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y - 6245 = 547. Let x = y + -853. What is the second biggest value in x, -5\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 0 - 56\/(-96)*(-14)\/3 and 145\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 215056*k - 215056*k - 107*k**3 - 2*k**2 + (2*k**2 - k**2 + 0*k**2)*(-3*k + 0*k + 14*k).\nAnswer: -96*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 350 = -11*n. Let c = 87 - n. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -87.94097808 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u**2\/3 + 3540218*u\/3 - 3540220\/3 = 0 for u.\nAnswer: -1770110, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7 - 7 + 2*b**3 + (-2*b**2 + 3*b**2 + b**2)*(5*b - 4 + 4).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 120777 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 0.3  (b) -0.1  (c) 3\/5  (d) -7.8  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -181, -361, -541?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3)\/(-4) + (-6)\/8)\/(-1). Suppose -o - 5*x + 21 = -2*x, -3*o + 4*x + 63 = a. Let b = o + 15. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 - 87 + 2*t - 19 + 4*t**2 + 47*t**2 + 19 in the form r + q*t + n*t**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 9:59 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -3*l + 455, 5*i + 0*i + 2235 = 5*l. Let d = i - -7533\/17. Sort d, -0.6, 5 in descending order.\nAnswer: 5, d, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122156821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v. Let o(p) = p**2 + p + 1. Give -5*m(x) - 4*o(x).\nAnswer: -4*x**2 + x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10b (base 16) to base 12.\nAnswer: -1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2532762416 to the power of 1\/4, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4 and 1.22152625.\nAnswer: 5.22152625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 + 3*i**2 - 22*i + 278. What is j(7)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c + 48. Is y(0) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -5*a, -2*a = -3*a + 4*n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - 6*l + 4*l)*(-11*l**2 - l + l) + 5*l**3 + 10*l**3 - 6*l**3.\nAnswer: 31*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122012*s**2 - 60976*s**2 - 61573*s**2.\nAnswer: -537*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2467 is divided by 64?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.65 in -3\/2, -17.43, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 3*z + 5647 = 5*l + 5612, 0 = -543*l + z + 2710 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 46326 (base 14) in base 15?\nAnswer: 358d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**3 + 5*u**3 - 4*u**3)*(0*u - 4*u + 5*u) + (4*u - 4*u - 2*u**2)*(-5*u**2 - 33*u**2 - 25*u**2).\nAnswer: 129*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4021, -8071, -12151, -16261, -20401?\nAnswer: -24571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 6*g - 5*g. Let z be -1 - (2 - (3 - g)). List the prime factors of (-5)\/(-20) + z\/((-16)\/255).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007746 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 195461560 to the power of 1\/3, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -49) + ((-312)\/(-68 - -56))\/(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - ((-4 - (1 + -4 + 4)) + -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 622 smaller than 620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of -3*i + 5\/3*i**3 + 3\/2*i**2 + 4 + 1\/4*i**4. Give h(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-13)*u\/(u**16\/u)*u*(u**(-1\/7))**(-22) assuming u is positive.\nAnswer: u**(-160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -4, -0.2, -3, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 + -43. Let a = 7 - p. Suppose 0 = 2*w + 2*w - a. What is the greatest common factor of 80 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31756 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: Let b = 14.8 + -167.1. Let u = b - -152. Put 3\/5, 0.4, u, 2\/9 in decreasing order.\nAnswer: 3\/5, 0.4, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 8 - 0. Calculate the remainder when 46 is divided by (0\/(-2))\/a - -16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 2*c - 16, 2*o + 5*c + 21 + 1 = 0. Let u be 22\/(-10) + (-10)\/(-50). Sort -33, 3, o, u in decreasing order.\nAnswer: o, 3, u, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 681476.8 kilometers in micrometers?\nAnswer: 681476800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 352 - 159. Let k = c + 83. Is 69 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56980 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 14*v**2 - 20*v + 5. Calculate w(12).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**3 - 11*g**2 - 10*g + 7. Let i be o(-10). Suppose 11*q = i*q + 4308. Calculate the common denominator of -23\/7 and q\/54 - 8\/(-36).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (11 - 7) + (-4038)\/90. Let u = 41 + g. Factor -2\/15*c**2 - u*c + 0 + 2\/15*c**4 + 2\/15*c**3.\nAnswer: 2*c*(c - 1)*(c + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) - (sqrt(832) + -2) - sqrt(13) - (sqrt(325) + 2)**2.\nAnswer: -327 - 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (1 + 29)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooddoood. What is prob of sequence dodd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (m + 2*m - 2*m)*(-2*m - 3*m + 3*m) + (-3*m + m + m)*(0 + 2*m + 0 - 3*m - m + 5*m + (6 + 1 - 5)*(5 - 2*m - 5)) to the form d*m + z + s*m**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 116737381 to the power of 1\/3, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -25, 38, 94, -27 in descending order.\nAnswer: 94, 38, -25, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 0.94.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 2\/13*c**2 - 2\/13*c**3 + 0 + 0*c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 715236 + -4150?\nAnswer: 711076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/25)\/(((-4)\/10)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 46*h - 44*h + 124. Let t = -56 - h. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11795, -11960, -12125, -12290, -12455, -12620?\nAnswer: -12785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/(-2)*((-3)\/(-12) + (-22308715)\/1100) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5.892 and 3439.7.\nAnswer: -20266.7124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 18\/2 + 3828\/(-435). Factor 0 + 2\/5*y**3 - u*y**4 + 1\/5*y**2 - 2\/5*y.\nAnswer: -y*(y - 2)*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1833, -3652, -5463, -7272, -9085, -10908?\n\"Answer: -u**3 + 10*u**2 - 1842*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.9824 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -438 + 437.99999386. Round m to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 365 + -360. Let h be 62 + 1 + -1 + -2. Suppose a = q*a - h. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y**2 - 30*y - 7. What is d(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*n - 24*n + 330756 = 0. Is n bigger than 3845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1\/3, 19835, 6, -2 in decreasing order.\nAnswer: 19835, 6, 5, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 - 4*g**2 + 2*g - 3. Let s be x(4). Suppose s*y + 4 = -6. Let r be ((-2)\/8)\/(y\/12). Which is the nearest to -2\/3?  (a) r  (b) 5  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 103658352 and 172763920.\nAnswer: 518291760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2c246 + -7?\nAnswer: -2c250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05 less than 6104300180?\nAnswer: 6104300179.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -579 + 515 - (8 + -84)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (38\/165)\/(120\/315) and 191\/330.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3329 times -38?\nAnswer: -126502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4*c = 46, -3*k - 3*c = -69 + 9. What is the lowest common multiple of 3 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -16*h**3 + h**2 - 1. Let r be j(-1). Suppose -3*c - 3 = -4*c. Suppose -5*x = -c*x - r. Calculate the lowest common multiple of 4 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 140537494 * -5\nAnswer: -702687470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -831875*p**4\/4 - 39306139125*p**3\/4 + 57889628775*p**2\/2 - 28418938695*p + 9300807990 = 0.\nAnswer: -47253, 54\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = 14*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + 4*x, 7*x - 2*x = -2*z - 12. Let k(v) = -19 + 40 - 3*v - 28 + 42*v. Is k(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3527574, -7055151, -10582712, -14110251, -17637762, -21165239, -24692676?\n\"Answer: t**3 + 2*t**2 - 3527590*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, -1436, 11.\nAnswer: -1436, 0.03, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29671\/40827 + -20\/1317. Which is greater: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + -11 + (44 + -13 - -22)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4.73 - 8.73. Put d, -1.1, -2 in ascending order.\nAnswer: d, -2, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-27787448 + 3083*m**3 + 27787448)*(-5 + 1 + 2*m + 2) as g*m**3 + p*m + u*m**4 + l + f*m**2 and give u.\nAnswer: 6166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 301234 (base 5) to base 2\nAnswer: 10010101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1366 a factor of 38827184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -4*c - 6, -3*p = -c - 13 + 4. Suppose 3*j + p*j + 48 = 0. Is (3 + -4 - -7)\/(j\/(-268)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -204383 or -4?\nAnswer: -204383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(2500)*-2)\/(3*(sqrt(720) + 1*sqrt(720) + sqrt(720) - sqrt(720))).\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 + (-9 - -43 - 21) + (1 - 31).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2305.412 + 2305. Round t to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27892 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -31.9689 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 3*t**2 - 4773*t + 103554 = 0.\nAnswer: 22, 1569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1059 or 75184\/71?\nAnswer: 75184\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-11)\/(o*o*o*o*o**(-5)))\/(o\/o**(-21\/2)*o**(2\/41)) assuming o is positive.\nAnswer: o**(-1767\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 5*l + 144. Calculate u(-29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/((a\/(((a*a*a**(-1\/8))\/a)\/a*a))\/a))**(4\/15)\/(a**7\/a*a**(15\/2)) assuming a is positive.\nAnswer: a**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2. Let y(a) be the first derivative of 13*a**6\/360 - 23*a**3\/3 + a**2\/2 - 76. Let w(h) be the third derivative of y(h). What is w(g(f))?\nAnswer: 13*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f - 3. Let s(j) = 7*j. Let t = 1 - 6. Let w(y) = 8*y - 1. Let z(k) = t*w(k) + 6*s(k). Let u be z(-5). Calculate g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 5 = 11. Suppose 2*f + 3*f = -5*s + 245, f = 2*s - 86. What is the least common multiple of 12 and 8\/10*s\/c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 10293297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 504, 533, 562, 591?\n\"Answer: 29*s + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 413617 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/(o\/(o*o*o*o**(-1)*o*o))*o))**(-24)\/((o*o**(-2\/3))\/o*o)**32*((o**(-1\/2))**36)**(-1\/21) assuming o is positive.\nAnswer: o**(1810\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 201022313 + 2?\nAnswer: 201022321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 236 - 260. Let s = f - -14. Which is smaller: -18 or s?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/3, -0.183, 5, 1, 66?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -313 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 5. Let t = k - 10. Let m = t + 15. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.2 + -1.8. What is the second biggest value in t, -1, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 30  (b) -3  (c) 2\/161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 591 - 939. Let o = m + 1891. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -50.75 + 51. What is g rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*f + 106 - 166 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 292*i + 1287.\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 264 - 254. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/18)\/((-30)\/180).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/6*6\/(-11). Let r = 6.2 - 10.2. Sort y, 5, r in descending order.\nAnswer: 5, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 73, 5, -94, -2, -5 in increasing order.\nAnswer: -94, -5, -2, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxxvvrrvxxvvv. Give prob of sequence xv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 306603, 1226262, 2759017, 4904862, 7663791, 11035798, 15020877?\n\"Answer: -b**3 + 306554*b**2 + 4*b + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2223275 divided by -1.\nAnswer: -2223275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3437 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 14*d**2 + 2*d - 1. Let u be b(1). Let y be 24\/(-16)*(u - -1). Let j(w) = w + 1. Let g(r) = -7*r - 8. Determine y*j(l) - 3*g(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.2651 rounded to 2 decimal places?\nAnswer: 2.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, e: 3}. What is prob of sequence em?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 155 - 6*t - 7*t - 154 + 4*t. Let l be (-2 - -1)\/((-1)\/(-1)). Calculate the least common multiple of 2 and k(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a - a + 105930*a**3 - 105928*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, -24, -4.\nAnswer: -24, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**4 - 1028*q**3 - 2060*q**2.\nAnswer: q**2*(q - 1030)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43 = 3*p - 5*c, p + 4*c = -296 + 248 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 223 + 1232200?\nAnswer: 1233023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**4 - i**3 - i**2 - i + 1. Let x(c) = 1 - 6*c**3 - 2*c**2 - 5 + 8 + c**4. Let q(p) = 3*n(p) - x(p). Factor q(h).\nAnswer: (h - 1)*(h + 1)**2*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40.492249 days to weeks.\nAnswer: 5.784607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 365459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5 - -7) + (6 - 3). Let h(i) = i**3 + 4*i**2 - 6*i + 4. Suppose -4*c = -c - 18. Let q(v) = -v**3 - 3*v**2 + 5*v - 3. Give c*q(w) + m*h(w).\nAnswer: -w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 372349 is divided by 372284?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/12, 8, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -139928*g**2*v**3 + 41*g**2*v**2 - 6*g**2 + 167*g*v**3 - 25*g*v**2 - 12*g + 81*v**2 wrt g?\nAnswer: -279856*v**3 + 82*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -260, -5, 2 in increasing order.\nAnswer: -260, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.19083622 rounded to two dps?\nAnswer: 5.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of 0*f**4 - 1\/2*f**3 + 3\/20*f**5 + 0 + 0*f**2 + 6*f. What is the second derivative of o(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1482 - 1475) + (24 - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8409 by 37.\nAnswer: 8409\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10.08 + -0.08. Let k = p + -11. Let u(c) = -5*c + 78. Let x be u(15). What is the smallest value in 1, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.44 - 0.417. Round r to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 219483184.\nAnswer: 2, 599, 22901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-11513)\/(-149669))\/((-6)\/(-52))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jwvwaawaawnaa. What is prob of sequence aw?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 + 4*a - 11. Give f(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, r: 1}. Give prob of sequence vrv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 428*g + 2756 = 432*g. What are the prime factors of g?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2740535*h**3 + 33312413 wrt h?\nAnswer: 8221605*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, 11, -3\/7, 17, 1 in decreasing order.\nAnswer: 17, 11, 2, 1, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*n - 317*n - 64*n.\nAnswer: -356*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -448 + 448. What is the fourth biggest value in s, 5, 0.9, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 6*d**2 + d - 5. Let f(l) = -9 - 9 + 996*l**2 + 16 - 994*l**2. What is 8*f(k) - 3*h(k)?\nAnswer: -2*k**2 - 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -312*k + 3. Let r(p) = 207*p - 2. What is -8*r(z) - 5*u(z)?\nAnswer: -96*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + n = -0*n + 17, -4*n = y - 23. Let g(p) = 2*p**2 + 9*p - 4. Let v(r) = 2*r + 2*r - r**2 + 2*r**2 - 2. Let o(h) = y*g(h) - 7*v(h). Give o(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 + 8*z + 13. Suppose n = -4*n + 100. Suppose -5*t = a - 25 - n, 2*t - 5*a - 18 = 0. Let i be p(t). Solve 24 = 2*u - m + 10, i*m = u - 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -3*v**2\/5 + 1116*v\/5 - 4416\/5 = 0.\nAnswer: 4, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -587, -301, 479, 1999, 4505, 8243, 13459, 20399?\nAnswer: 29309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1000)\/(-7200)*42\/35?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -435*f + 858 - 9135 = -168*f for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 59a + -3918?\nAnswer: -334b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 + 7*p + 16. Let y be u(9). Let i be 248\/24 - y\/3. Suppose 5*f = 3*b + 64, 18 = 3*f - 0*b + 5*b. What is the highest common divisor of i and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-5))\/((p\/p**(1\/11))\/p))**(-19)*((p*p\/(p*p\/p**(-1\/5)*p*p)*p)**(-33))**32 assuming p is positive.\nAnswer: p**(73781\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000015866 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9474 and 3192.\nAnswer: 5040168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.27 and 21.8.\nAnswer: -5.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 31824 and 50184.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -132120002 (base 6) to base 4\nAnswer: -22000122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 5:27 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -682, -680, -668, -640, -590, -512?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -33 - -47. What is the remainder when 40 is divided by (-6)\/(-21) + 192\/i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2 + x. Let s(g) = 22*g**2 + 4*g. What is s(j) - 4*v(j)?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 17  (b) -1  (c) -161  (d) -0.1  (e) -29  (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-161*h + 970*h**2 + 320*h - 159*h)*(-1 + 2*h + 1) as a*h + y + u*h**3 + x*h**2 and give u.\nAnswer: 1940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 40\/202740*31*-3\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -6*j, 742865*p - 742870*p + 3*j - 33 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 187 = 4*p + 5*o, -28*p + 24*p + 5*o + 157 = 0. Calculate the remainder when p is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**2\/7 + 73088*a\/7 - 7843314\/7 = 0 for a.\nAnswer: -36651, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**3 + 21*f**2 - 8*f - 18. Let i be m(10). Let k be ((4 - i)\/(-2) + -3)\/(-2). Solve n - 3 = -j - 0*j, 0 = -k*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 865788 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (369\/(-6273))\/((-3)\/(-51))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 437\/9 or 65.06?\nAnswer: 65.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90916?\nAnswer: 2, 7, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4702349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 133*o - 49*o - 91*o - 101*o.\nAnswer: -108*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 12 and -8?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(1700\/(-16))*((-805)\/14)\/23.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -60175.0114 to the nearest one hundred.\nAnswer: -60200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16200 and 2360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-6)*(-1)\/(-3). Let p = -233\/735 + -4\/245. What is the closest to 1 in p, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 + (-336 + 368 - (-14 - -3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12*((-49)\/28 + 3 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -57 + 34. Let v = o + 32. Suppose -v*d = -14*d - 25. Which is the second biggest value?  (a) d  (b) 1\/7  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.07 from 400.\nAnswer: 399.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -267*t**4 + 34*t**4 - 276*t**4 - 122 wrt t?\nAnswer: -2036*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express t**3 + 2825*t**2 + 0*t**3 - 2851*t**2 + 2 as d*t**3 + x*t**2 + z + b*t and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1539)*-2 + 2 - sqrt(1539))**2 - (sqrt(152)\/sqrt(32) - sqrt(1900)*-2)**2 - (-2*(0 + sqrt(304))*6 + 0)**2.\nAnswer: -151623\/4 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 137 - 2760. Let n = v + 36823\/14. Let w = 84971\/10 + -8485. What is the common denominator of n and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 4228800.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 375411868 divided by 3.\nAnswer: 375411868\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 611 - 181. Let h be 42981\/s - (2 - 4). Let l = h - -2210\/11. Calculate the common denominator of l and 61\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-seven quarters of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of 0 + 0*v - 6*v**2 - 1\/24*v**4 + 0*v**3. Let u(d) = -d**2 + 3*d**2 + d**2. Calculate u(s(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of -17*u**2\/2 + u - 2. Let b be (-3 - -2)*(0 - -2). Is v(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 5*n + 12 = 0, 2*n + 0*n = -5*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 25*b + 19*b - b**2 - 44*b. Let p(z) = -70*z**2. Calculate r(p(u)).\nAnswer: -4900*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*r - 10*r + 596 - 85 - 12*r in the form u*r + h and give h.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 604059292?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 20031 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 10. Let l be (20\/(-6))\/(1\/(-3)). Calculate the remainder when (l\/(-8))\/(1\/w) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -958061 or -958445?\nAnswer: -958445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 204022 divided by -266.\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of -m**8\/24 + 13*m**5\/30 + 19*m**2. What is the third derivative of n(r) wrt r?\nAnswer: -840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 3*z**2 - 542*z - 11712. Determine a(-20).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 23*v**5 + 15*v**4 - 71*v**3 + 7*v**2 + 48*v - 13. Let n(c) = -c**5 - c**4 + c**3 - c**2 - 1. Let m(d) = -f(d) - 3*n(d). Find s such that m(s) = 0.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2028?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/36, 4872, 2\/13?\nAnswer: 4872","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -2*g**3 - 2*g**2. Let h(c) be the first derivative of c**4\/4 + 7. Let m(q) = -2*h(q) + 2*l(q). Suppose m(y) = 0. What is y?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 4*a**3 - 6*a**2 + 3*a + 11. Let w(l) = -l**2 + 2*l + 12. Let c be w(4). What is the units digit of v(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 + 3*t + 3. Let l be k(-3). Suppose 0*q = -q + l. What is the second derivative of y**2 + q*y + 3*y - 7*y**2 wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (130*14\/728)\/(-3*(-3)\/162)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 82*m**2 - 6*m - 7. Let y(w) = 77*w**2 - 7*w - 5. Calculate -2*s(z) + 3*y(z).\nAnswer: 67*z**2 - 9*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3550e (base 15) in base 12?\nAnswer: 82395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 15540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 13) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -19063597 greater than or equal to -19063620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -6\/73  (c) 0.4  (d) -0.08  (e) -3  (f) 364  (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -818 - -8147?\nAnswer: 7228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 566ba0 (base 12) to base 5\nAnswer: 323140043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -4 + (1*sqrt(13))**2)*2 - ((sqrt(13)*3 - sqrt(13)) + -2 - (sqrt(208) + -2)**2).\nAnswer: -18*sqrt(13) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c + 3. Let t be v(9). Let o = t + -21. Let g = o + 9. Which is bigger: g or -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.04398 - -21.91398. Round h to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 6 = -x. Let u = 11 - x. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20680 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -403 + 403 - 63*s + 173*s + 128*s.\nAnswer: 238*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 3*f = 2*f - 8, -2*p - 2*f = -12. Let a = 10 - p. Sort a, -2, 2.\nAnswer: -2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 170989820 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2088720421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -39 (base 13) to base 8.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -4*z**2 + z. Let x be m(4). Let n be ((-2)\/6)\/((-5)\/x). Let o = n + -14. Round o to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -978, -1960, -2946, -3936?\nAnswer: -4930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the third derivative of -j**5\/30 + 7*j**4\/24 - 5*j**3\/6 + 5*j**2. Let i be q(4). What is the units digit of 3*(-1 - 15\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 223146 divided by -15939\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 15) + 16 - 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 4. Sort -1\/2, 0.5, q in descending order.\nAnswer: q, 0.5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 11*d + 5755. Let s(m) = -13*m - 5795. Calculate 6*f(a) + 5*s(a).\nAnswer: a + 5555","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -43 + 61. Let g be (2 - 0)*1341\/i. Let -f**3 + f + 0*f - g + 150 - f**2 = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ussu when four letters picked without replacement from gdffddgugdusgsugfd?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 3*z**2. Let o(h) = 4*h + 6. Let t(d) be the third derivative of -d**4\/8 - 5*d**3\/6 - 4*d**2. Let i(p) = 5*o(p) + 6*t(p). Determine i(q(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**37\/o**(2\/11) assuming o is positive.\nAnswer: o**(405\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 - 2*d**2)*(-37*d - 228*d - 279*d) to the form p*d + i*d**3 + n*d**2 + f and give i.\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/19))**(-18) assuming p is positive.\nAnswer: p**(-36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h**2 - 3*h**2 - h**2 + h**2 + 2 - 2 + (3 - 2*h - 3)*(-3*h - h + 3*h) - 70*h**2 - 26 + 141*h**2 - 73*h**2.\nAnswer: -6*h**2 - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -5  (b) -2\/7  (c) 5\/7  (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q + 93 + 195 = 0. What is the least common multiple of q and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92 = -2195*k + 2209*k - 90 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -604, -1235, -1716, -1975, -1940, -1539, -700?\n\"Answer: 12*r**3 + 3*r**2 - 724*r + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3389 is divided by 3387?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of i**7\/168 + 5*i**6\/18 + 3*i**3 + 105*i**2. Let b(n) be the first derivative of g(n). Let b(o) = 0. Calculate o.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (693\/378)\/((-2)\/12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -0.6, 4\/3389, 1?\nAnswer: 4\/3389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 11201221022?\nAnswer: -11201221023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -3*s**2. Let v(d) be the third derivative of -39*d**5\/20 + 146*d**2. Determine v(w(z)).\nAnswer: -1053*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 5}. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 11 + 3\/((-3)\/2). Suppose 0*j - 3*j + r = 0. Let h(n) = 2*n**2 - 5*n + 3. Give h(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -2*f - 10474, -3*f + 0*f - 4*s = 15706. Let w be -1 + 1 + 1326\/f. Let v = w + 3\/97. What is the closest to v in 4, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 4*n**2 + n**2 + 5*n**2. Let g(b) = 4*b + 71*b - 74*b - 2 + 2. Determine s(g(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 141160597*d**3 - 2*d**2 - 15721886?\nAnswer: 423481791*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-5\/3)\/(z*(z**(-15)*z)\/z))**(-36)\/((z**(-2))**(2\/5)*((z**(-5)*z*z)\/z)\/z**(2\/21)) assuming z is positive.\nAnswer: z**(-46106\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -2, -4*g = -2*o - 172 - 766. What is the lowest common multiple of g and 576?\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31 (base 5) to base 6\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -3*y + 2*b + 56, 0 = 3*y + 3*b - 24. Solve 3*z - 5*a - 12 = y, -19 = 4*z + 3*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2128 - 164?\nAnswer: 1a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 128, 130, 132, 134?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of v**5 - 55*v**4 - 283*v wrt v?\nAnswer: 20*v**3 - 660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence etih when four letters picked without replacement from {l: 2, t: 2, e: 1, d: 1, i: 2, h: 4}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2364642047.\nAnswer: 17, 139096591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3604*h*n*u**2 - 6653*h*n - 2*h*u + 2*n*u + 10*n wrt u?\nAnswer: 7208*h*n*u - 2*h + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 13*g + 149. What is p(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 3*n + 2178, n = 133*y - 137*y + 1722. What is the remainder when y is divided by 121?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*i**5 - 11*i**4 + 331*i**2?\nAnswer: 540*i**2 - 264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -20876*v - 417531. Determine x(-20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 136373823.\nAnswer: 3, 37, 53, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1\/40, 1102 in descending order.\nAnswer: 1102, -1\/40, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 54328424 bigger than 54328424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**2 + i + 2. Suppose -j = 4*j. Suppose 0 = -k + 4*k + 3*c - 33, -2*k + 4*c - 8 = j. Let m be (-4)\/k*(-9)\/3. Give x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 124 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -115 * -43.\nAnswer: 4945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.18, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**3 - b**2 + 2. Suppose -6 = -k + 3*h, 3*h + 15 = -9*k + 13*k. Give q(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231.75032 rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 67611 - 67566. Let j(k) = -k**3 - 2*k**2 + 2*k + 2. Let u be j(-3). What is the greatest common factor of r and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 4369*40\/2720 + (2\/(-8))\/1.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34, 37, 38, 37, 34, 29, 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 5:06 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -163*w**2 - 8163*w + 2 - 1 - 2.\nAnswer: -163*w**2 - 8163*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of -2*v**7\/105 + 2*v**5\/5 - 4*v**4\/3 + 2*v**3 - 8*v**2\/5 + 15*v + 1. Find z, given that x(z) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -422*x**3 - 257*x**3 + 460*x**2 - 104*x + 12*x**5 + 212*x**4 + 91*x**3 + 8*x**5 = 0.\nAnswer: -13, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (87\/2697)\/((-2)\/(-1054))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 1 - 2*j + j - j**2 + 2. Let i be r(0). Suppose -2*y = i*y. Solve 5*p - 4 + 14 = y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-36))\/(14\/(-126))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 31773775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 4165.05701 to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**4 - f + f**4 + 3*f + 3*f**4 + f**4 - 2*f**4 + (-4 - 1 - 2)*(5*f**4 + 7*f**4 - 2*f**4).\nAnswer: -69*f**4 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1\/(3285\/6558 - (-4)\/(-8)).\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) - sqrt(99)*4)*2*-1)\/(sqrt(243)\/sqrt(3) + sqrt(441)*2 + sqrt(441)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -82355 - 57.\nAnswer: -82412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + h = 0. Suppose 0 = 5*r - h*r - 95. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -66 + 162. Suppose l - 68 = g. Suppose -5*r = 2*t - 207, 0 = 5*t - 5*r - 266 - l. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5244 and -0.6.\nAnswer: -3146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8*m**3*o - 14*m**3 + 648*m**2*o**3 - 11*m + 50 wrt o.\nAnswer: -8*m**3 + 1944*m**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 1) + (-11 - -19) + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -4\/33  (b) 2  (c) 1\/5  (d) 114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -30*i**4 + 3*i**2 + 9*i. Let v(y) = 28*y**4 - 2*y**2 - 11*y. Let r(a) = -6*h(a) - 5*v(a). What is the third derivative of r(m) wrt m?\nAnswer: 960*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**2\/t)**(-2\/7))**33)**(2\/69) assuming t is positive.\nAnswer: t**(-88\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -1100001?\nAnswer: -1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + u**3 - 2)*(-2*u + 1 - 1)*(u + 3*u - 2*u) + 3*u**5 - 5*u**5 - 2*u**5.\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47117, -189171, -426171, -758123, -1185033, -1706907?\nAnswer: -2323751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 3*r + 4*b = -24, b + 2 = 0. Solve 0*f = 2*f + r*s, 3*f + 5*s - 1 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 63737, 50817, 29289, -841, -39567, -86883?\nAnswer: -142783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 15*q**2 - q. Let s be u(1). Suppose 5*f = s*f. Solve -9 = -0*z + z + 4*d, f = -5*z - 5*d - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -4 + 17*s + 4. Let p(z) = 9180*z**2 - 18348*z**2 + 9172*z**2. Give t(p(v)).\nAnswer: 68*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 + 27*b**2 - 28*b + 43. Give t(26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 11 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of -1 + 0*m**2 + 0*m + 0*m**3 - 1\/2*m**4. Factor v(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 597.7 and -160042?\nAnswer: 160639.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 154659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 39015233431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 + 12*t**2 + 12*t + 12. Let i be m(-11). Let k be 41\/(i - 0\/(-6)). Solve -6*r = -r + 4*h - k, -5*r - 2*h + 33 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*o*z**4 - 2*o*z - 121*o + 7*z**4 with respect to z.\nAnswer: -20*o*z**3 - 2*o + 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 - -13. Suppose -c = z*c. Let n be 4 + (c\/(-2))\/4. Solve 21 = r + 5*y, 14 = -2*r + n*y - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16755 = 358*h - 353*h. Suppose 0 = 873*d - 870*d - h. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3 - 66\/12)*40\/5275. Is s <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -6*z. Suppose -3*j + 45 = -z*j. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -4*v - 9. Let q(z) = -3*z - 9. Let d be ((-24)\/144)\/(1\/(-36)). Calculate d*q(l) - 5*r(l).\nAnswer: 2*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + m + 23 = 5*w, 2*m - 43 = -5*w. What is the third derivative of -61*y**6 - 174*y**4 + 174*y**4 - w*y**2 wrt y?\nAnswer: -7320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -3*x + 4. Let s = -2 + -6. What is the tens digit of r(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -438080*g**5 - 38252080*g**4 - 157298045*g**3 - 24666760*g**2 + 77883625*g - 16933660 = 0?\nAnswer: -83, -4, -1, 101\/296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g + 5. Let d(z) = z**3 + 7*z**2 + 6*z + 5. Let w be d(-6). Let h(q) = -q + 6. Let u(x) = w*l(x) - 4*h(x). Determine u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 2 c, and 1 m when four letters picked without replacement from gcmgclccccgclxlmkk?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39128425 and 1850.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4145295 by -17945.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 79 + -80.6. Let r = -0.47 + 0.07. What is the third biggest value in v, -0.1, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*z**2 + 0 + z**2 - 4 + z**2 wrt z?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(720) - (2 + (sqrt(720) - (1 + sqrt(720))))) + sqrt(720))*6 - (2*sqrt(720)*-2 + 3 + -4))**2.\nAnswer: -63840*sqrt(5) + 4159945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-12*g - 16*g + 38*g - 12*g)*(0 - 4 + 2) to the form z + o*g and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -42 by 191392.\nAnswer: -21\/95696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x + 2*x + 201. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23063 (base 7) to base 10.\nAnswer: 5876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p - 11. Let a be c(-11). Suppose -4*d = -u - 100, d - 6 = -a*d + 5*u. Let 7*g**2 - g - d + 3*g**3 + 34 - 17*g = 0. Calculate g.\nAnswer: -4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -360.13?\nAnswer: -1800.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(200) + -4)*-2)**2.\nAnswer: -720*sqrt(2) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 3*f, 2*d - 76*f = -78*f + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/1)\/(-4)*(-16)\/(-56)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208666.\nAnswer: 2, 101, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + (-1*((sqrt(147) - (sqrt(147) + -1)) + sqrt(147)))**2 + (0 + sqrt(147) + sqrt(147) + sqrt(147) + -4)**2 + -2) + 4.\nAnswer: -924*sqrt(3) + 8896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 + 9*x**2 - 9*x + 11. Let z be f(8). Let c be (-1 + -6)*z\/(-1). Suppose -u = 25 - 32. Calculate the highest common divisor of c and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g - 5. Suppose 2*b + 26 = 3*k, -4*b - k + 0 = 24. Let a be x(b). Suppose -y + 134 = -3*s - a*s, -s = -5*y + 550. List the prime factors of y.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*i = 2*a - 10, -179*a = -178*a - 5*i - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -130211*u**2 - 2*u + 78. Let z be p(-12). Let k = z + -72149718. What is k rounded to the nearest one million?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -48*j**2 + 183*j + 42. Calculate w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 + 2*d - 9. Let z(c) = -2*c**3 - 5*c + 19. Let v(l) = l**2 + 4*l + 5. Let r be v(-4). Let n(a) = r*m(a) + 2*z(a). Give n(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**8)**2\/(z*(z**(-8)*z)\/z)**(5\/3) assuming z is positive.\nAnswer: z**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 199 - 188. What is the derivative of -n - 7 + 63*s + 26 - 13 wrt s?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p - 3. Let s be k(-6). Suppose -s*y + 0*y - 12 = 0. Let u be y\/6*(0 + 1755). What is u rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0337737 rounded to 4 dps?\nAnswer: -0.0338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 1)*((18 - 27 - 10)*(-2*o + o + 2*o) - o + 3*o + o)*(6*o - 1 - 27*o + 3*o).\nAnswer: 576*o**2 + 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add 511132 and -0.003174847.\nAnswer: 511131.996825153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 + -7. Let w be -5 + -4*x\/(-2). Let b = 9 - w. Solve -3*p = p + b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/2*-10*-1. Solve 0 = k*m - m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-14)\/(-6) + (-430)\/(-258). Let b(k) = -111*k**3 - 5*k**2 + 228*k**3 - 116*k**3 + k. Let w be b(5). Solve -d - 3*h = -2*d + 6, -w*d = c*h - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5, 2, 35, 106, 227, 410, 667?\n\"Answer: 2*h**3 + h**2 - 10*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -9 - 7. Let p be (-1 - 18\/6 - -1022) + w. What is the highest common factor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -44, -51, -58, -65, -72, -79?\n\"Answer: -7*z - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -66.042 - -66. Round f to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 0.02, -0.1, 40, 0.2, -27295?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -10373223?\nAnswer: -10373223","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -45\/93704 and -97\/23426.\nAnswer: 93704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of 81*w**5\/40 + 255*w**4\/8 + 82*w**3\/3 + 9*w**2 - 169*w. Suppose q(t) = 0. What is t?\nAnswer: -9, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -10 + 37. Let a = 2 - y. Let p = a + 10. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3  (b) -110\/19  (c) 0.1  (d) 32  (e) 75  (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-32)*((-9)\/27)\/(2\/28)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3908554 to the power of 1\/2, to the nearest integer?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 13340960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -70 + 119. Let g = 58 - p. Solve -3*c + 12*c**3 - g*c**5 + 0*c - 6*c**4 - 31*c**2 + 37*c**2 = 0 for c.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*d - 35*d + 16*d + 5*d + 4*d + 7*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4 smaller than 82252351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -9*t - 23. Let q be o(-6). Solve -w + 4*p - q + 9 = 0, -3*p + 23 = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17349 by -5783.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7202.6 and 4.\nAnswer: -28810.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -557.88 + -1.12. Let c = 558.641 + n. Let q = -15.059 - c. What is q rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 494749509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a (base 16) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -670253526*s**2*v**3 - 7*s**2 + 34*s*v**2 + 17*s*v - 2*s - 2596*v**2 wrt v.\nAnswer: -4021521156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -5144 at least -66855\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4212 (base 6) to base 15.\nAnswer: 42e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b + 0 - 3 + 1 - 1. Determine m(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/6?  (a) -2\/13  (b) 0.11  (c) -3  (d) 3.309  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -12 times 822\nAnswer: -9864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 65 - (3 + -3)\/(-3). Calculate the highest common factor of 351 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115737 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of -h**5\/20 + h**4\/2 - 23*h**2\/2 - h - 113. Give v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/61832 and -37\/59?\nAnswer: 61832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 909 (base 12) to base 16\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76124*u + 76120*u = 3*x + 28, -75 = 5*x + u for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 65 = -d, -8 = 2*c + 3*d - 77. Let l = -27 + c. Let z(a) = 3*a**2 - 4*a - 13. What are the prime factors of z(l)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*f - 6*f + 10*f + 0*f + 15*f.\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 + 13*a + 3. Let i be v(13). Suppose 36 = 2*o + i*j - j, -5*j - 50 = -5*o. Calculate the greatest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 - -22. Suppose -2*x + 4 = 2*x. Suppose 23 + x = 4*o. What is the remainder when q is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4393872*t**2 - 4393879*t**2 + 8787736*t**2.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.99 - -0.01. Let g = 0.1 + -0.3. Sort s, g, -6\/5 in ascending order.\nAnswer: -6\/5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -247.55503 to the nearest integer.\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, i: 3, z: 1, l: 6, y: 3, g: 1}. What is prob of picking 1 z and 2 l?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-120)\/270)\/((-2)\/9). Let i(w) = -a*w**3 - 25 - 46 + 69 + 2*w. Let l(g) = -g + 1. What is 5*i(x) + 10*l(x)?\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13070586 is divided by 122.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 552420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 - 11*l**2 + 3*l + 11. Calculate p(-11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99 = 3*h + 15. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, h: 2}. Give prob of sequence he.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6408)\/3780 + (-12)\/(-126).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 23*z**3 + 4*z. Let r(f) = -1196*f**3 - 207*f. Determine 207*l(p) + 4*r(p).\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 988*o = 948*o - 360 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fifty-five quarters of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of 0 + 1\/20*t**5 + 0*t**3 + 0*t - 1\/12*t**4 + t**2. What is the second derivative of c(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1839 - ((-7)\/((-28)\/(-8)) - -2). Let v = 2606 - q. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j**2 + 0 + 1 - 3*j**2 - 6*j. Let h = -6 + 11. Suppose -h*q - 2 - 23 = 0. Calculate m(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2523 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 72\/(-21) + 719136\/216216.\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-798)\/(-2565))\/(2\/5)*((-3)\/3)\/(-7).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22330 and 22330.\nAnswer: 22330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*u + 5*u + 4*i + 127 = 0, -3 = -5*u - 3*i - 55 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 387118995669.2 + -39.\nAnswer: 387118995630.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32393 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 593?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 2:03 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5236 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of -f**4\/36 + f**3\/6 - f**2\/3 - 19*f. What is x in h(x) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (465\/(-62))\/(3\/(-4)). Let m be (z + 220\/(-25))\/((-3)\/(-10)). What is the second biggest value in 0.3, -3\/4, -1, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - -15)*(-1)\/(-3). Suppose 2*o = g*o + y - 7, 4*y + 11 = 5*o. Suppose 5*s + 3*q - 10 = o, q + 9 = s. Solve -4*p + 0 = 4*k + 4, s*p = -2*k + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from bsomq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15931435 to the nearest integer?\nAnswer: 3991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1331435\/108 - -12328. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -4*o. Let l be u(-1). Suppose 5*j + 1133 = -l*v, -4*v - j + 4*j = 1157. Let w = -143 - v. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 27.34131 to 2 dps.\nAnswer: 27.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 123\/59655*-388*-3*2\/(-3)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7, 1.2564, -27, -2\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (50\/(-8) - 6\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2852814613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 89756 + -23756. What is p rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 20134171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccfc. What is prob of sequence ccc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/124318 and -19\/48.\nAnswer: 2983632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from {g: 1, k: 1, h: 2, x: 1, e: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 455\/9, 1\/3, 2?\nAnswer: 455\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.08, 4, 2\/7, 0.5 in descending order.\nAnswer: 4, 0.5, 2\/7, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 4\/23  (b) 6  (c) 2\/5  (d) 1.1  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**2 + 17*i - 74. Suppose -3*p + m - 2 + 32 = 0, 4*m = 0. Let h(u) = -u**2 - 8*u + 35. Let v(y) = p*h(y) + 4*r(y). Factor v(z).\nAnswer: -2*(z - 3)*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 190 * -2521.\nAnswer: -478990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 6760 = -7*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -83.15 from -815816644.\nAnswer: -815816560.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 1.04.\nAnswer: 4.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**2 + 3*o**2 + 3*o**2)*(-19*o**3 + o**3 - 7*o**3).\nAnswer: -125*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*c - 15*c - 72. Let g(r) = r + 3. Let b(p) = -4. Let w(k) = -3*b(k) - 2*g(k). Let y be w(-5). What is the highest common divisor of y and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes before 3:47 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -122354*a**2*l*s*x**2 - 4*a**2*l*s*x - 21*a*l**2*s*x**2 + 2*a*l*s + 2*l**2*s*x - 332340*l**2 wrt x.\nAnswer: -244708*a**2*l*s - 42*a*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 653121?\nAnswer: 3, 7, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (q - 5*q + 2*q)*(30959*q**2 + 3783*q**2 - 89552*q**2) to s*q**3 + z + l*q + u*q**2 and give s.\nAnswer: 109620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -11, 11, 21, 13, -19, -81, -179, -319?\n\"Answer: -k**3 + 29*k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + s + 6 = -2*s, 0 = -2*s - 8. Suppose j = r*k - 47, 17 = 2*k - 0*j + 5*j. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 612 is divided by 200.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 4. Let b be o + -3 - 20\/(-14). What is the third smallest value in b, 1\/5, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 66.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (32 - (-20 + 28)) + 22?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p + 5954 - 2*p + 1621.\nAnswer: -2*p + 7575","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 4*o**3. Let r be a(1). Let c be ((-30)\/r)\/(4\/(-8)). Let h be ((-34)\/3)\/((-2)\/c). Calculate the greatest common factor of 34 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 3*b - 2 - 10, 3*s + 16 = 4*b. Let a be 6\/(-3) + 52\/30. Is s < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l. Let g(m) = 431*m**2 + 2705*m - 3. Determine r(g(o)).\nAnswer: -862*o**2 - 5410*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-1 - -5))\/(1\/72). What is the hundreds digit of -1 + (-16276)\/k + (-8)\/72?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*w + 11*w + 18*w.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 422413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30905 by 7.\nAnswer: -4415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 272438 is divided by 280?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(10\/3)*d**(-13\/5))**(-14) assuming d is positive.\nAnswer: d**(-154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k + 16. Let n be j(7). Let q(r) = r**2 - 6*r + 8. Let w be q(6). Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 + 22. Suppose 4*v - s*v = -405. Calculate the highest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/15  (b) -5  (c) 4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 14, q: 5}. What is prob of sequence qqmq?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2662*u**2 + 83*u - 378. Is c(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-189)\/(-14)*(-2)\/3. Let f be (-294)\/3087 - 23\/(-21). Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 105, 205, 307, 411, 517?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4754 + -4749. Solve 0 = -a + 5*s + 1, t*a = 5*s - 2 - 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + u = 518, 5*u = 2*c + 358 + 160. Let m = -219 - c. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k + 18. Let y be c(-10). What is the greatest common divisor of 200 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 4.6, -4, -8\/247, 4, -2?\nAnswer: -8\/247","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 34646420 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10729899 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1299*k - 1284*k - 220425. List the prime factors of k.\nAnswer: 5, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4413 is divided by 127.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 9:57 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 98\/(-84)*45\/(-70)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6204972247?\nAnswer: 103, 60242449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1120110 (base 3) in base 15?\nAnswer: -516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114) + ((sqrt(114) - sqrt(114)*-2) + sqrt(114) - sqrt(114))*-6 + sqrt(114) + sqrt(114))\/(sqrt(726) + sqrt(726)*-1 + sqrt(6)).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*w - 93 + 170*w**2 + 95 - 2*w - 8*w**2 as c*w + r + z*w**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.1  (b) 7.336  (c) -3\/7  (d) 5\/2  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*n + 5*n - n - n + 4*n - 4*n + (-2 + 1 + 0)*(3*n - 3*n + 2*n) - 2 - n + 2.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 3) + (-9)\/(-3). Suppose -3*v - 2*m + 32 = a, 38 = 2*v + v - m. Suppose 5*q + 0*x + x = v, -5*q + 6 = 3*x. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - 1)*9 - -2. Suppose 0 = -i - 3*l - 1 - 11, -2*i + 20 = -5*l. What is the units digit of i + (-6)\/3 - k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -114 - -197. Let h = 82.9999787 - s. Round h to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -2490, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-67 - -40 - -27) + (40 - 0 - (-6 + 2)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 20*u - 32. Let m be d(5). Suppose -63 = -m*l + 5*l. What is the smallest common multiple of 560 and l?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in 35, 3, -0.166, 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.269 + -1.569. What is the nearest to 1 in v, 14, 70, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22 - 4. Let s = 28 - p. Suppose -6*j = -68 - s. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*22728554.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 5:55 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + f - 1 = 0, 0 + 1 = 5*l - 3*f. Let o be ((-64)\/(-28) - 2) + (-40)\/(-7). Calculate the greatest common factor of o and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -7. Suppose 0*i - 28 = -x*i. Let p = -25 + i. Is p less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + 4 + (0 - -10). Suppose d + p + 4 = 0. Let a = d - -24. What is the highest common divisor of a and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3248 + 3248.206. Let d = -0.074 - -0.08. Let g = k - d. Which is the second biggest value?  (a) -3  (b) g  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -40*f**3 - 12 - 18*f**2 + 36*f**5 + 46*f - 99*f**5 + 24*f**5 + 33*f**5 - 2*f**2 + 32*f**4 = 0. What is f?\nAnswer: -1, 1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence awh when three letters picked without replacement from {w: 4, h: 1, a: 9}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 39313 = q, 22*q - 39308 = 21*q + 3*y. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 290, 752, 1386, 2192?\n\"Answer: 86*g**2 + 204*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -64*n**3 + 3 + 2*n**2 + 4*n**2 + 48*n**3. Is g(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (63602 + 45*j - 63602)*(2*j + 2 - 2)*(3*j - j - 4*j) in the form u*j + i*j**3 + m + n*j**2 and give i.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/6210 and 145\/12.\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {v: 1, k: 1, q: 1, f: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 26093*c**3*q**3 - 12*c**3*q**2 + 39368*c**3 + 63*c**2*q**4 wrt q?\nAnswer: 156558*c**3 + 1512*c**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 PM and 6:05 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39.987 + -40. Let k = s + -1.987. Let h = 131 - 128. Which is the nearest to 0.3?  (a) h  (b) k  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 40 = 5*b, -2*f + 5 = -3*b + 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*u - 14*u + 15*u + 12*u - 13*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -7, 3, 6\/5, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n + 1. Suppose 0 = -0*p + p + 3*b + 2, 5*b = -2*p - 6. Let h be (6\/p)\/((-4)\/(-32)). Does 3 divide u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wzs when three letters picked without replacement from {w: 2, s: 2, y: 4, z: 1, v: 2, b: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -0.1, -19 in ascending order.\nAnswer: -19, -13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45 + (-2 + 20 + 1 - (-677 + 682)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 5*h**2 - 4*h + 4. Suppose -2*i - 5 = -i. Let g = 1 + i. Let c be w(g). Sort 0, c, -2 in ascending order.\nAnswer: -2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000831933013 to six dps.\nAnswer: -0.000832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-14)\/(-4))\/((-2)\/(-4)). Let g(z) = 114*z**3 + 7*z - 80. Let t(h) = -76*h**3 - 5*h + 53. Let d(k) = o*t(k) + 5*g(k). Differentiate d(x) wrt x.\nAnswer: 114*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.68504 + 0.28504. What is the fourth biggest value in 3\/2, i, -11\/34, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 3*((sqrt(88) + sqrt(22))\/sqrt(2) + sqrt(66)\/(sqrt(12)\/sqrt(2)) + (1 + sqrt(275))*-3)*-2 + -2.\nAnswer: 11 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*j = -6*j - 207 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minus 13.692695689?\nAnswer: -9.692695689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the third derivative of 111*j**4\/8 - 15*j**2 + 62. Let a(x) = -4*x. Calculate q(a(l)).\nAnswer: -1332*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 4*p - 44*p + p**3 - 3*p - 20 - 20*p**2. Let v be l(22). Suppose u - n = 228, -3*u - v*u + 1095 = 4*n. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -4773, -9547, -14321?\n\"Answer: -4774*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -134474681 to the nearest one thousand.\nAnswer: -134475000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2 - 8875482*l - 19693545183081.\nAnswer: -(l + 4437741)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-1)*320\/(-10). Suppose -6*d + 722 = q. Is d a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2700234 is divided by 1926.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 896 + 21*t**2 - 73 - 19*t**2.\nAnswer: 2*t**2 + 823","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8431\/9 + -937. Which is the closest to k?  (a) 4  (b) 0.6  (c) -5  (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 + 7*o**2 + 75*o + 478. What is d(-7)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -11\/2*x**2 + 1\/12*x**4 + 0 + x + 4\/3*x**3. Suppose 6*n + n - 117 = 20*n. What is i(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4130120 and 15010.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -559 = -144*z - 1178*z - 567*z - 4337 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 2*c**2 + 6*c - 5*c**2 - 2 - 2*c + 3*c**3. Suppose 2*s - 32 = -2*s. Calculate the smallest common multiple of a(2) and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -12, 10 in decreasing order.\nAnswer: 10, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 25 and 4196.855.\nAnswer: 104921.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0528 - 236.0528. Let f = 230 + r. Which is the second biggest value?  (a) -0.1  (b) 1\/3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:01 PM and 7:32 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {h: 1, l: 3, b: 2, s: 3, z: 1, v: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18.1 + -18. Sort -0.3, -0.7, r in increasing order.\nAnswer: -0.7, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-51)\/170)\/(587\/292 + -2). Is -30 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -59\/3 + 373\/6. What is the common denominator of w and -97\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 218 is divided by 93.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-18)\/5)\/((-6821)\/(-285) + -24). Solve -8 = m*k - 53*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/(-14 - -10) + -2 + (-17)\/((-136)\/(-504))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4856 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -9879*y**2 + 1246*y - 1246. Let x(v) = -95*v**2 + 12*v - 12. What is -6*a(m) + 623*x(m)?\nAnswer: 89*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1612 + -113?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 + (-4)\/4*0. Suppose 0 = 7*a - l*a - 21. Suppose -4*p + 2*p + 61 = -5*r, 2*p = -a*r + 37. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 262.8044 to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-1*((sqrt(432) - (-2 + sqrt(432))) + 0 - sqrt(432)) + 0)*-2*-2)**2 + 4.\nAnswer: -27900 + 3072*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (9\/21)\/((-48)\/(-15344)). Solve -17*d + h = 1 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2*d**2 + 10*d + 4. Let v = -1729 + 1748. What is the remainder when v is divided by x(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -43.72 - 3.\nAnswer: -46.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + f**3 - 1 + (4*f - f - f)*(f**2 - 2*f**2 - f**2))*(31*f + 14*f + 27*f).\nAnswer: -216*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 - 9*q - 15. What is u(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 + 19. Let m be k(-4). Solve -m*p = -4*v - 2*p + 4, -5*v - 12 = 3*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 57\/(-12)*(5 + -1). Let o = 39 + a. Let g = o - -23. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 495 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 106 a factor of 27520308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60\/(-48)*(-18)\/45*50.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - -2) + 1 + -3. Suppose 6*f = q + 5*f + 1, d*q + 2*f - 17 = 0. Let a(w) = 2*w**3 - 2*w**2 - 4*w + 1. What is the tens digit of a(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.718 + 0.218. Which is the second smallest value?  (a) k  (b) 4\/3  (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/6)\/(8\/((-120)\/(-35))).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 - 4 = 4*s. What is the biggest value in s, -4, 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1582 - -1582.03. Is 11.9 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.05352*90\nAnswer: 4.8168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwfw when four letters picked without replacement from awfffawwwawwfwa?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30 - -89. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 902 = 425*y - 798 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 1. Suppose -x*i = -0*i - 48. Calculate the lowest common multiple of (-90)\/(-16) + 0 + 30\/80 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00070871 to five dps.\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -5089*p**2 + 24*p + 6. Let z(j) = -30535*j**2 + 140*j + 35. What is -35*q(a) + 6*z(a)?\nAnswer: -5095*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s**2 - 201*s + 51. What is the ten thousands digit of t(-80)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 75414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*g**4 + 9*g**3 - 9*g**3 + (2*g**2 + 4*g - 4*g)*(0*g**2 + 0*g**2 - 2*g**2).\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c**5 + 1890*c**4 - 15170*c**3 - 529560*c**2 + 15175*c + 527670 = 0. What is c?\nAnswer: -13, -1, 1, 22, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**2 - 64692966935544 + 64692966935544 + y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -131, -129, -127?\n\"Answer: 2*f - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -0.09, -1.59, -1\/2, -9, -3.4?\nAnswer: -1.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 214 + -216. Put -44, d, 1\/7 in ascending order.\nAnswer: -44, d, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*p - p. Suppose -p*r = -2*f - f - 13, -5*r + 17 = -3*f. Find the first derivative of -6*s**2 + 5 - r - 2 - 5 wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*g - 38*g + 184 = -51*g + 37*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -19 divided by -3044311\nAnswer: 19\/3044311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 10110113 (base 4) to base 16\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 5*y - 5*w = -16, y - 3*w - 4 = 0. What is the third derivative of -4*u**4 + 0*u**y + 8*u**4 + u**2 wrt u?\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -2*d + 16, -3*d + 14 = -h + 2. Let g be (-132)\/60 - (-1)\/d. Let q be ((-2)\/g + -1)\/(-3). Solve -3*j - j + 20 = q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 321289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 2 + (-3 - -2) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 37459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 288, 736, 1184, 1632?\n\"Answer: 448*c - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 4 - 23*l + 0*l - 2*l.\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -9*k**3 - 4*k**2 + 3*k + 5. Let y(j) = 4*j**3 + 2*j**2 - j - 2. Let o = 1 - 0. Let n be o\/(2*(-2)\/12). Let w = n - -1. Give w*v(b) - 5*y(b).\nAnswer: -2*b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -52*h - 2. Let f be i(-2). Suppose -4*v + 5*v = l - 34, -3*v = 3*l - f. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.32 and -345854?\nAnswer: 110673.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 816 divided by -2.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 17842 and 1.67?\nAnswer: 29796.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122654 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -4, 5, -2.27 in decreasing order.\nAnswer: 5, -0.2, -2.27, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (2 - -5 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 82 + -232. Let b = 232 + h. What is the highest common factor of 205 and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1518, -1529, -1546, -1569, -1598, -1633, -1674?\n\"Answer: -3*w**2 - 2*w - 1513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 827581 + 2.\nAnswer: 827583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 + v**2 + v + 1. Let g(m) = 5*m**4 - 5*m**3 + 5*m**2 + 5*m + 18. Let q(j) = g(j) - 5*z(j). What is the derivative of q(f) wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1003507986?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2.1, -3\/29, 0.1?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*z + 65*z + 19*z = 3135. What is the highest common divisor of 1387 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7978\/3173 - 48\/19. Let l = y + 171\/334. Factor -3\/2*b - 2 + l*b**2.\nAnswer: (b - 4)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10.8 and -9173.\nAnswer: -99068.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.8 - -201378950.856.\nAnswer: 201378952.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 275184100*w**2 - 816869682*w.\nAnswer: 550368200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(121) + -2*sqrt(121))*6)\/(sqrt(11) + sqrt(44)\/sqrt(4)*-2).\nAnswer: -4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/22, 10, 11, 1265 in ascending order.\nAnswer: 5\/22, 10, 11, 1265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -3\/8  (c) -4  (d) -832\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 AM and 8:15 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (33440\/76)\/(-44)*-9*(-9)\/(-24)*4.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4344 and 38793549.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1387614 + 2976928. Let o = v - -5716041. Let k = o + -17380583. What is k rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12025381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24480513?\nAnswer: 3, 1049, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 3*u - 1 + (-2 + 4 + 0)*(10 - 7*u - 10) + u - u + u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11600, -66, 2, -1 in increasing order.\nAnswer: -11600, -66, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6432168 or 51457343\/8?\nAnswer: 51457343\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 95447, 95449, 95451, 95453?\n\"Answer: 2*p + 95445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 56438, 56326, 56140, 55880, 55546?\n\"Answer: -37*q**2 - q + 56476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iym when three letters picked without replacement from {y: 4, w: 2, m: 3, f: 2, i: 6}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**1*x*x)**8)**(4\/3))**(-10\/7) assuming x is positive.\nAnswer: x**(-320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2c + -209?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 889693665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*((-3 - 1) + 1). Suppose -u + k + 2 = 0. Suppose -16 = -2*a - 0*a. Solve t - u*t = -a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + 0 + (sqrt(272) - sqrt(272)*2) + 3)*2)**2.\nAnswer: 32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3757 + -3787. Which is smaller: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 - 2*s**2. Let o be c(2). Let z be (-3)\/9*(-3 - o). Solve 0 = -g - z + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 + 3*v**2 + 217*v + 424. Give y(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (120\/105)\/((-4)\/(-14)). Let c be ((-11)\/a)\/(25\/(-4700)). Let z be 20\/(-110) - (-72)\/c. Is -1 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + c - 2. Suppose -t + 1 = 3*a, -t - 2 = -5*a - 3. Let z = a + -2. Let p be g(z). Put -1, 5, p in ascending order.\nAnswer: -1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/6550 and 133\/6?\nAnswer: 19650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17392 = -12*n - 17224 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**0)**16*x**(4\/7)*x\/(x**2*x*x) assuming x is positive.\nAnswer: x**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30 + 8*o + 3*o + 2*o - o - 2*o + 2*o**2.\nAnswer: 2*o**2 + 10*o + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 8*c + 10, 4*n - 5*c = 18. Suppose 7*l + 7 = n*l + 4*a, l + 3*a = 10. Calculate the remainder when 5 is divided by 3\/((-32)\/(-20) - l).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:00 PM and 8:44 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/42 + -5 + (-4)\/14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 555\/74*(-24)\/(-20)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26796, -26742, -26592, -26304, -25836, -25146, -24192, -22932?\nAnswer: -21324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*d + 10080 = -14*d. Suppose -22*s + 6 + d = 0. Calculate the remainder when 51 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 + w. Let x(m) = -11*m**2 + 9*m - 2. Let c(q) = -4*h(q) - x(q). Let o(l) = 7*l**2 - 6*l + 1. Suppose 21*r - 52 = 25*r. Give r*o(b) + 6*c(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19325 + 19365 = -5*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 4*p**3 - 6*p**2 + 5*p - 5. Suppose 0 = -45*m + 40*m + 6*j - 49, 5*m + 41 = 4*j. Let h(u) = u**3 - u**2 + u - 1. Give m*h(w) + x(w).\nAnswer: -w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -3*s + 31, 3*s - 2*f = -0*s + 34. Let t = 15 - -45. Calculate the greatest common divisor of t and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27798 - 2953. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 230 - -3101022030?\nAnswer: 3101022320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4949048 and -33117620?\nAnswer: 38066668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - l - 94 = -0*r, -4*r + 2*l = -124. Suppose 32 = -k + 4*s, 0 = k - 3*s + 21 + 10. Let a = 76 + k. Calculate the greatest common factor of r and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 2*l**4\/9 - 8*l**3\/3 + 28*l**2\/3 - 104*l\/9 + 14\/3 = 0.\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-24*u**2 + 4*u**2 + 0*u**2 + (-3*u + u + 4*u)*(u - 4*u + 2*u))*(-5*u**2 + 0*u**2 + 6*u**2) in the form a*u**2 + r*u**4 + x*u + w + s*u**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -39 + 82. Let j = g - 6. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(1\/3))**(1\/20)*(t*t*t**(-1\/3)\/t)\/(t**(2\/15)*t*t))**(1\/24))**(2\/61) assuming t is positive.\nAnswer: t**(-7\/3660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - (sqrt(19) - 5*sqrt(19)*3))**2*3 - sqrt(76)\/(sqrt(8)\/(sqrt(2)*2)).\nAnswer: -2*sqrt(19) + 12825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 474561259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 10*g = 0. Suppose -l + 2*h = 6, -30 = 5*l - 3*h - g*h. Let z(o) = -5*o + 6. Let w be z(l). What is the greatest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10.6 and 48.046.\nAnswer: 37.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 25, 49, 89, 145, 217, 305?\n\"Answer: 8*p**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -348 != -1739\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 206606071?\nAnswer: -1\/206606071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1401, -5603, -12607, -22413?\nAnswer: -35021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*z - 0*z. What is the third derivative of 9*i**z - i**2 + 3*i**2 - 6*i**4 wrt i?\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 - 2 + 38 = 22*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 73\/(-4) - (-18)\/72. What is the units digit of (9\/q)\/((-2)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -99945 divided by 3?\nAnswer: -33315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 8, 81, -287, 1\/10, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 5*s + 43. Let i be g(-9). What is the units digit of 306 + i + 0\/(-3 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 3 + (sqrt(7) - sqrt(14)\/sqrt(2)))**2 - (2*sqrt(1575))\/sqrt(9).\nAnswer: -10*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32 - 20. Suppose -21 = m + d. Let x(i) = -i + 128. Let n be x(162). Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 4)*(-2*w + w**2 + 2*w)*(3 + 2*w**3 + w**2 - 3 + (-22*w - 6*w**2 + 22*w)*(12 - 12 - 3*w)).\nAnswer: -100*w**5 - 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -18*n + 6. Let c be h(-8). Suppose -9 = -3*t + c. Let o = t - 41. Solve -10 = -5*l, 4*w + 4*l = -0*w + o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -9*l**3 + 148*l**2 + 3*l - 5 - 77*l**2 - 78*l**2. Let k(v) = 5*v**3 + 4*v**2 - 2*v + 3. Give -5*k(f) - 3*n(f).\nAnswer: 2*f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**8)\/(c*c*c\/(c**(-2\/45)\/c))*(c**(-8)*c)\/(c**(-18)*c))**(13\/7) assuming c is positive.\nAnswer: c**(8749\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25.9 + -2.9. Let v = u + -23.00009. Round v to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, 4, 0, -41 in decreasing order.\nAnswer: 41, 4, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2067 bigger than 0.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of 5\/72*w**4 - 8*w + 0 + 1\/9*w**3 + 1\/12*w**2 + 1\/60*w**5. Suppose n(b) = 0. Calculate b.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142480 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 45 times 0.58295?\nAnswer: 26.23275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/1518 and -83\/222.\nAnswer: 56166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -58554 (base 16) to base 3.\nAnswer: -200101022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 4700 + 154 = 0. Let b = -373 - u. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 110159403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p = -35804 + 35714 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.026 - 0.026. Which is the closest to 2\/5?  (a) q  (b) 2\/21  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -1, 2, -11 in decreasing order.\nAnswer: 7, 2, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1883 is divided by 147?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - b + 1)*(7*b**2 - 630 - b**2 + 623).\nAnswer: -6*b**3 + 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 339.\nAnswer: 4\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t. Let i(l) = 202*l**2 + 2*l. What is c(i(n))?\nAnswer: -404*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7258 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gggggegngegggg?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3\/3 + 7975*z**2 + 119606*z\/3 + 47840.\nAnswer: (z + 2)*(z + 3)*(z + 23920)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 915 and 305?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = -a + 3*d + 17, 2*a + 2*d = -6. Let s be -2 + 0 - (a + -5). Is (s\/2)\/((-2)\/(-28)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 150 divided by 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(1\/7))\/(r\/(r\/(r*r\/r**(-4)*r))))**20 assuming r is positive.\nAnswer: r**(-820\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*v - 2*v. Let u = -2.12 + 4.12. Which is the third smallest value?  (a) u  (b) -2\/11  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l - 9. Let v(p) = -29 + 16 + 9. Let j = 15 - 20. Determine j*v(f) + 2*b(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12\/(-54) - 1209\/27. Let f = -51 - b. Let s(r) = 2*r + 7. Let u(g) = -2*g - 7. Let k(a) = f*u(a) - 5*s(a). Determine k(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 25\/4 of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -126*p - 41. Let w(b) = 126*b + 36. Determine -8*w(v) - 7*x(v).\nAnswer: -126*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 394 + -394. Sort 5, -2, g, -3 in decreasing order.\nAnswer: 5, g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3 - 19*m**2 + 55*m + 363.\nAnswer: (m - 11)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 7*m - 22. What is the units digit of f(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -687*n**3 + 0*n + 347*n**3 + 0*n + 346*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -178, -184, -190?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - 9 - (1 - -3 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -121145152 (base 6) in base 11?\nAnswer: -1331239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.2 - 1. Let t = 0.3 + o. Suppose -3*k = -17 + 8. Which is the third smallest value?  (a) t  (b) k  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-142376)\/111)\/74*((-15)\/(-4))\/5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 12:54 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 10:48 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10917.\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -0*q. Suppose -4*b + 7 + 5 = q. Solve 0 = -h + n - 4, 6 = 3*h + b*n - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -67*j - 4. Let z be p(3). Let r = -132 - z. Suppose -2*y + r = 3*t, 4*t - 3*y + 8*y = 102. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162976 is divided by 4792?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 13 - 4)*(6*w**2 - 2*w**2 - 3*w**2 + (-1 - w + 1)*(13*w - 31*w + 6*w + (2 - 2*w - 2)*(-4 + 1 + 4) - 5 + 5 - w)) to s*w + i*w**2 + h and give i.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 + g**3 + 2 + 4*g**2 + 1 + 1. Let w be h(5). Is ((-2)\/(-2))\/(6\/w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of 0*z**4 + 6 - 1\/3*z**3 - 93\/2*z**2 - 11*z + 1\/10*z**5. Find the first derivative of q(g) wrt g.\nAnswer: 6*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2601, 2727, 2839, 2937, 3021, 3091, 3147?\nAnswer: 3189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1596265 + 1597075 = 27*h for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 - 2)*(-1)\/(-2). Let t(b) = 2*b + 1. Let n be t(z). Suppose 2*r - n*r = -2. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 5*l = 24. What is the smallest common multiple of l and 225 + (-25)\/(125\/(-30))?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (344\/14)\/(1\/7). Let s = r - 171. Solve s + 7 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -5*i**2 + 3. Let k be v(0). Suppose -b - 2*l + 26 = -9, 5*l = -k*b + 102. What is the remainder when 101 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7214 by -34.\nAnswer: -3607\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.45  (b) -51  (c) 65  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, l: 10, k: 6}. Give prob of sequence ckl.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 78*s - 52*s. Let j(w) be the third derivative of 0*w + 0 - 1\/60*w**6 + 0*w**3 + s*w**5 + w**4 - 5*w**2. What is the second derivative of j(c) wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1028423?\nAnswer: 11, 93493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16196 - 2*a**2 - 58*a**3 + 62*a**3 + 2*a**2 + 16196.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-8)*(-12)\/24*131. Which is greater: 34 or f?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 31*n + 6433 = 29*n, 5*v = -5*n + 32195. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) 90.2  (b) 5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*b**3 + 4*b**3 - 4*b**3 + (5*b - 2 + 2)*(12*b**2 - 5*b**2 - 3*b**2) as y*b + l*b**2 + v + d*b**3 and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 802\/204859?\nAnswer: 802\/204859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 535591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -64*(414\/(-12) - -4). Suppose 2*o + o = -2*h + 1464, -4*o + x = -h. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -44827886 + 14107462. Let v = -30720437.0000008 - f. Let g = -13 - v. What is g rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4497495 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d - 5. Let v be x(-1). Put v, 1, 5 in decreasing order.\nAnswer: 5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + -3. Let u = -1.3 + h. Let f be 10\/(-4)*(-1552)\/24250. Which is the second biggest value?  (a) u  (b) f  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -20*l - 1. Let g = -6 + 10. Let u = -7 + g. Is d(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -305035 (base 8) to base 5.\nAnswer: -11212033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -56689943 and -56689944 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -66*g**3 - 3103*g**2 + 3115*g - 14. What is a(1)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.06 and 588.365.\nAnswer: 35.3019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66693 is divided by 824?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 67556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence npnn when four letters picked without replacement from npppppqpnqpqnqqqp?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5.4417 and -26.43.\nAnswer: 143.824131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1170 (base 9) to base 8.\nAnswer: -1551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 3)*(-16*m + 46 + 6 + 9*m).\nAnswer: -7*m + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 22 = -5*u - 59, 2*b - 41 = -5*u. Suppose 16*i - 9 = b*i. Let s = 1 + -1. Solve -2*x + t + 3 = 0, 3*x - t + s = i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2552 + 599. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(5*(sqrt(2) - sqrt(8)\/sqrt(4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 4*p**2 - 39*p**2 - 11*p**2. Let y(u) = -3*u. What is j(y(o))?\nAnswer: -414*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 11*f = -26. Suppose -2366 = -f*v - 2370. Let n(b) = 5*b + 6. Calculate n(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 837463262 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 1. Suppose -6*l + 2 = 14. Sort 4, d, l in decreasing order.\nAnswer: 4, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -3*d - 35. Let q be o(-10). Find the common denominator of 170\/6 + q + 1 and 51\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 95760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 662231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 81*v - 6 + 4.\nAnswer: -81*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 603, 646, 689, 732, 775, 818?\n\"Answer: 43*k + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000047 to six decimal places.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 + 5*y**2 + 2*y + 5. Suppose 215 = 17*k - 60*k. Let z(v) = v**3 + 8*v**2 + 3*v + 8. Calculate k*z(u) + 8*q(u).\nAnswer: 3*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 28442154413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes after 2:57 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 (base 5) in base 6?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6526060 - 652?\nAnswer: -6530042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -16*c - 7. Let w(j) be the first derivative of 18 - 2*j - 5\/2*j**2. Give -2*i(l) + 7*w(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5250275 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7527279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = i - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 154985 and 663030.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49 = -3*j + 10*g - 9, -4405*j + 4403*j + 12 = -3*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - 5. Let a be 23\/k - 2\/3. Let m = 32 - -3. What is the greatest common factor of m and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93389 + 2976 = 5044*s + 4922 - 39701 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*t = -114*t - 49 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 302*q - 990*q + 124*q - 336*q - 664*q as n + f*q and give f.\nAnswer: -1564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*k**2 - 3*k + 3*k)*(59 - 59 - 42*k) in the form w*k**3 + z*k**2 + i + f*k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/(-3))\/(-2*(-551)\/76))\/2.\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -3*d + 32. Let u be w(9). Solve 40 = -u*g + 10*k - 7*k, 4*g = 5*k - 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/9)\/((-6)\/(-18))*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 371627142, 371627140, 371627138, 371627136, 371627134, 371627132?\n\"Answer: -2*z + 371627144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26114273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -299.673 rounded to 0 decimal places?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.2  (b) 0  (c) 4  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - n + 3*n)*(9*n - 3*n + 10*n)*(-3*n**3 - 2*n**3 + 17*n**3).\nAnswer: 576*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in thirty-two fifths of a gram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 4 + 0)*(-19323*w + 9375*w + 1 + 9381*w) as u + m*w and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {s: 5, i: 4, y: 2, f: 2}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*v**3 - v**3 + v + 1 - 2 + v to d*v**3 + s*v + y + j*v**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -c8 + 824?\nAnswer: 75c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -82\/405 and -7\/1080.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9549791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*q - 18 = -86. Suppose 2\/7*n**q + 50\/7 + 20\/7*n = 0. Calculate n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 511.0357nm?\nAnswer: 0.0000000005110357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.5, 2\/2195, 7, 0.081, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -61, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4760 by -85.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2 - 22*t + 120.\nAnswer: -2*(t - 4)*(t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 + 1)\/(4\/16). Calculate the remainder when (-1 + 238\/(-6))\/(o\/6) is divided by ((-1 - 0)\/(-3))\/((-2)\/(-126)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1266 is divided by 542?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 51913 and 17?\nAnswer: 882521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 5*m**3 + 29*m**2 - 66*m - 644. Calculate t(-4).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r**3 - 210*r**2 - 5*r + 210 = 0. What is r?\nAnswer: -1, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -215, -513, -1009, -1697, -2571, -3625, -4853?\nAnswer: -6249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 6*v**2 - 2*v - 3. What is the remainder when q(3) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from orfyrodrdrooyoyro. What is prob of picking 1 f and 1 y?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2*j**2. Suppose 0 = 2*q - 3 - 7. Suppose -f - 19 = 4*a - 3, q*a + 25 = 0. Let u(w) = w + w - f*w. Give u(r(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7457.7 rounded to the nearest ten?\nAnswer: 7460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27980907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o - 2*o + 0*o)*(224 + 136 - 198).\nAnswer: 324*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/510 and 80\/2091.\nAnswer: 20910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 23\/3 + (-4)\/6. Let y = 7 + -4. Solve y*w = s*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/((1*sqrt(24))\/sqrt(4)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1229, -2451, -3673, -4895, -6117?\n\"Answer: -1222*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.02150687 to 4 dps.\nAnswer: 1.0215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 5*k = 0, 5*k - 50 + 5 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10900243.\nAnswer: 19, 563, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -34, 1 in increasing order.\nAnswer: -34, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.66 - -0.33. Let g = -0.14 - -0.13. Let k = g - s. Which is the closest to k?  (a) 0.5  (b) -2\/7  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -14*(-1 + 15\/21). Let g be (-10*(-2)\/v)\/3. Factor -2\/3 + g*c**2 + c.\nAnswer: (c + 1)*(5*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1934 + 3789. Suppose -k + 8 = -j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -4. Let b be 2\/(2\/11) - l. Suppose 0 = 5*x - b - 0. Sort 1, -2, x in decreasing order.\nAnswer: x, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2110930 to the nearest integer?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 143223332 (base 5) to base 8.\nAnswer: 2710317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - (0 - 0))*-1. Let x be g\/2*4 - 2. Suppose -2*q = 3*w + 25, -6*q + 3*q = 15. Sort w, x, -4.\nAnswer: w, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 3) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 4*c - 8, -j + c + 5 = -0. Suppose 0 = -j*t - 4*d + 1960, -t - 1961 = -5*t - 3*d. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2841 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -111, -109, -95, -63, -7, 79, 201, 365?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 + 162*d - 1274. What is c(7)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 218.0784 days in minutes?\nAnswer: 314032.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2 + 660*v + 21780.\nAnswer: 5*(v + 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - -2 - (-1 - -11). Let k be 9 + b + 1\/6. Let q be 1 - 2 - (-9)\/15. Put -5, k, q in increasing order.\nAnswer: -5, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 0.15, -1258, 4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8356631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*x + 51 + 252 = 19 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 128813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 7:43 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25860, 25861, 25862, 25863?\nAnswer: 25864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 42672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 24*4\/((-12)\/3). Let j = p + 26. Solve n + 5 = 2*l + j*n, 4 = -5*l + 3*n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r - r + 2*r)*(-39 + 21 + 9*r + 7*r).\nAnswer: 32*r**2 - 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -263*b - 45 = -272*b. Suppose -b*g = -41*l + 42*l - 215, l - 230 = -2*g. Calculate the highest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 7, -0.3, 0, -5\/12026, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 305*l**3 - 86020*l**2 - 9927980*l + 325600 = 0.\nAnswer: -88, 2\/61, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1137946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 7) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3254*w**3 - 1614*w**3 - 1602*w**3 - 6151*w**2 + 0*w + 0*w + 6154*w**2.\nAnswer: 38*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 47 - 33. Calculate the highest common factor of u and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - -0.0655308543\nAnswer: -1.9344691457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g + 5. Let n(i) = -i + 4. Let b(x) = 7*n(x) - 6*v(x). Let d be b(-5). Suppose d*c - 5*w - 42 = 0, 0 = -2*w + 3*w - 3. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31016479?\nAnswer: 13, 2385883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18 by -10.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -565566, -1131314, -1697062, -2262810?\n\"Answer: -565748*x + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 383785841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 32023*j**4 + 70318*j**2 wrt j?\nAnswer: 768552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11821*a*c**2 + 2807*a*c + 7273540*c**2 wrt a.\nAnswer: -11821*c**2 + 2807*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1949 + bb0?\nAnswer: 2939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 73 = -61 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -513 divided by 21.\nAnswer: -171\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/992 and -145\/18.\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/7 of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-369)\/(-10) - (-8715)\/(-14525))\/(0 + 2\/15). Factor p - 33\/2*a + 1\/4*a**2.\nAnswer: (a - 33)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 192649.218 rounded to the nearest 10?\nAnswer: 192650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 83 - 111. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-5\/3))**17 assuming x is positive.\nAnswer: x**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 PM and 1:00 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5277630 and -5.\nAnswer: 26388150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(2\/7))**(-30)*l**6*(l*l*l**(-1\/9)\/l)\/l)**14 assuming l is positive.\nAnswer: l**(-338\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -477 - 479 + 1439 - 483 - 5*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -29 - -129. Sort -3, -5, y in decreasing order.\nAnswer: y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4220 and 50430?\nAnswer: 21281460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j**2 + j**2 + 0*j**2)*(5*j**2 - 10*j**2 + 6*j**2 + 22*j**2).\nAnswer: -23*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 + 18*d + 14. Give n(-13).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 142 - 32 = 0. Suppose 0*v = 2*v. Suppose t - 57 + 13 = v. Calculate the greatest common factor of t and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 253741.38 months in millennia?\nAnswer: 21.145115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 2*v - 2 = 82, 422*v + 118 = -4*g + 427*v - 95 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-5)\/10 + 1)\/(3\/6). Which is the third smallest value?  (a) -4  (b) k  (c) -0.05  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 45263442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2a1203 (base 16) to base 14\nAnswer: -51aad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m**(-2\/7)\/m)*m)**48*(m**(2\/25)\/m)\/m*m*m\/m**(-1\/8) assuming m is positive.\nAnswer: m**(153887\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -34\/48253 and 111\/730.\nAnswer: 482530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 5:17 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = b - 25, 2*b - 12 = -4*w - 62. Let n = -13 - w. What is the remainder when 20 is divided by n*(-2)\/12*22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 61795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(612) + -4)**2.\nAnswer: -48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 2\/7, 4, -4 in ascending order.\nAnswer: -4, 2\/7, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-64 + (-2 + 8 - -13)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18732 - 18689. Are -69 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.98 - -0.02. Let y = -16 + 21. Let b = 8 - y. Sort b, z, 2.\nAnswer: 2, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 885586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -269349887*n - 487166728?\nAnswer: -269349887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 228014 = 5033*g + 650786 for g.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -5521361 (base 7) to base 16\nAnswer: -a56ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 318 and (-423)\/(-987) - (0 - 74\/7).\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -112, -191, -186, -49, 268?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 992 and 8370.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12264\/(-2044)*(-2)\/228*2.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 864000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/174597 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -200212022 + -11200?\nAnswer: -201000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 188029*-0.3.\nAnswer: -56408.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 11*j**2 + 11*j - 1. Calculate the least common multiple of p(10) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of t**6\/360 + 7*t**3 + 14*t**2 - 3. Let k(f) be the first derivative of j(f). Let i(s) = 46*s**2 - 1. What is k(i(u))?\nAnswer: 2116*u**4 - 92*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8790?\nAnswer: 2, 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 12*p**2 - 4 - 49*p - 50*p - 2 + 102*p. Is 14 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + k + 0)*(2 + k - 2) - 2*k**2 + k**2 + 3*k**2 - 34*k + 34*k + 7*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 plus -0.08?\nAnswer: 4.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -3*r + p, -2*p - 8 = -5*r - 4*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = s - 4*s - 6, 5*c + s = 15. Suppose -10 = -5*n, -3*p + c*n = n + 1. What is the nearest to 2\/5 in -2, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -4, -2164 in descending order.\nAnswer: -4, -9, -2164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p + 7. Let i be m(4). Calculate the remainder when (290\/(-4))\/i*(4 + 0) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1215, 2767, 4317, 5865, 7411, 8955, 10497?\n\"Answer: -m**2 + 1555*m - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*s + s + 110. Calculate the highest common factor of 99 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.049868548 rounded to 4 dps?\nAnswer: -0.0499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-28)\/30 - 84\/42 and 42\/25?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/165)\/(17*58\/(-2465)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -1\/14, 2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -76*g + 11 - 53 + 12 + 11 + 15 to the form c*g + f and give c.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (1*(sqrt(14) - sqrt(56)\/sqrt(4)))\/(sqrt(8)\/(sqrt(4) + sqrt(8)\/sqrt(2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*d**5 - 5*d**5 - 3*d**5 + (-d**3 + 4*d**3 - d**3)*(-2*d - d**2 + 2*d) - 5*d**5 + 8*d**5 - 12*d**5 - d**5 + 3*d**5 + 4*d**5 + d**2 - d**2 - 2*d**5.\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3738165*h**4 - 12*h**2 - 78451 wrt h?\nAnswer: 89715960*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -10085.31, -2\/13, 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 440, 11 in descending order.\nAnswer: 440, 11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16.69 - 13.69. Sort 34, d, -0.3, 2\/5 in decreasing order.\nAnswer: 34, d, 2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 5*m = q + 5, 4*m = -4*q + 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - 382?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 26 + 25 = 0. Let h = -2526 - -2581. Let j = h + q. Solve 2*r + j*y = -0*y + 6, -2*r = -3*y + 22 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/(-9))\/((-4)\/8). Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w + 2*w**2 + 215*w**4 - 144 + 1056*w**4 + 299*w**4 + 146 in the form i*w**4 + u*w**2 + q + f*w**3 + x*w and give i.\nAnswer: 1570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 96 and 5840?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -639 - -711. Let k(u) be the third derivative of -u**3\/6 - u**2. Let m(g) = -2*g + 18. Let d(i) = r*k(i) + 4*m(i). Let y(p) = -2*p. Determine d(y(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -912, -911, -910, -909, -908, -907?\n\"Answer: w - 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -31*d**2 - 5*d + 5. Let i(n) = 15*n**2 + 2*n - 2. Let z(s) = 4*a(s) + 10*i(s). Let u be 6\/15 - ((-85)\/(-25) + -2). Is 13 a factor of z(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -35090b (base 13) to base 7\nAnswer: -13460161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuududu. What is prob of picking 4 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 157996 = -3*y, -l - 17364 = y - 56870. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 52332?\nAnswer: 52332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of 3*h**5\/2 - h**4\/12 - h**3\/6 - 168*h**2. Let p = -12 + 11. Does 12 divide s(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 789, 782, 773, 762, 749, 734?\n\"Answer: -y**2 - 4*y + 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 0.16, 9, 21 in increasing order.\nAnswer: 0.16, 2\/11, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 + 2*o**2 + 7*o + 12. Give b(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*b = b + 72 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 2*c = -61700, -26479 = -3*g + 5*c + 66079. Suppose t - 5*z = 15411, 2*z = 2*t - 4*t + g. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 156.4  (b) 6  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 329558143744141466074\/3 + -119149439959658004307787470\/1084629. Let k = m + -3715679519. Let x = -2\/2639 - k. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of u**5\/4 - 13*u**3\/6 + 25*u. Find the second derivative of j(p) wrt p.\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/5)*l)\/(l**3*l) assuming l is positive.\nAnswer: l**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 308 is divided by -6 + 40\/8 - (-44 + 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -298 = -53*d - 2577 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8815 (base 9) to base 15.\nAnswer: 1dce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z. Let r(v) = 21048*v. Determine m(r(d)).\nAnswer: 21048*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (265251\/(-14))\/((-24)\/7). Let l = -5532 + k. Find the common denominator of 133\/6 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1081\/6 - -180. Let y = 103\/51 - 6\/17. What is the smallest value in x, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/21*(-959)\/(-685).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 9602*a**2. Let v(i) = 3362*i**2. What is v(g(b))?\nAnswer: 309971034248*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -4. Suppose -2 - 18 = -m + v*n, 0 = 4*m + 5*n - 119. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/8 - (-20)\/112. Let t = 11\/1116 + 6641\/5580. Which is the second biggest value?  (a) 2  (b) n  (c) 3  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 - 8*s**2 + 9*s + 4. Let q be r(-9). Let k(b) = -b - 3. Let n be k(q). Sort n, 0, -4, 2 in decreasing order.\nAnswer: 2, 0, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2384*w - 25 + 2384*w - w**3.\nAnswer: -w**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -5*p - 27 + 2, 0 = -5*m - 4*p - 20. Let h be -1 - m - -5 - -18. Let y = 19 - h. What is the third smallest value in 4, y, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 55 + 74 = -2*o, o = a - 5. Solve b = 2, 5*y + 4*b = -11 + a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2877 not equal to 2878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1229 - -1230. Suppose 4*y - 4 = 2*f, -5*y = 2*f - f + 2. Which is the closest to h?  (a) -4  (b) f  (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 q when three letters picked without replacement from wwwwwwwqqwwwwwwwwww.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 112 - 337\/3. What is the closest to u in 0, -1\/9, 0.1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-55)\/(-4))\/((-1)\/(-8)). Let b = y - 69. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(49) + 2*sqrt(49))*-2 - sqrt(49))\/(sqrt(28)*-1) + (-1*1*sqrt(77))\/(sqrt(396)*1 - sqrt(11)))*6.\nAnswer: 99*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4516 = 23*o - 12336. Calculate the highest common factor of o and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 35*w**2 + 46*w + 54. Is g(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 * 13\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 4. What is the third derivative of 125*l**4 - 120*l**4 + 3*l**2 - 4*l**w wrt l?\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 22\/871 and -57\/469.\nAnswer: 6097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/2 and -85\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -14*h**3 - 14*h**2 + 18*h - 23. Let a(g) = -3*g**3 - g**2 + 2*g - 2. Let m(v) = 5*a(v) - l(v). What is m(9)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qnqanqaaqanqqn. What is prob of picking 1 n and 2 a?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -15735*r**3 - r**2 + 2*r + 3. Let d be b(-1). Suppose 2*w = c - 3133, -5*c + d = w + 3*w. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*w - 1. Let y(i) = -i**2 - i - 1. Let b(t) = 3*t + 3. Give w*b(c) - 3*y(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 2*w - 31 = 0, -16*w + 32 = 3*u - 17*w. Which is greater: 8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -21, -2, 9, -4 in increasing order.\nAnswer: -21, -4, -3, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 - 4*f**2 + 16*f + 4. Calculate the remainder when y(-7) is divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-2)*(-1732)\/7794 + (6\/2 - -39)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3440032 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 - i + 620000. Let d be 32\/14 + (-8)\/28. Suppose 0 = 2*q + d*q. Let t be n(q). Round t to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - -6. Let m(i) = -i**2 + i + 3. Calculate the common denominator of m(a) and ((-1598)\/(-1551))\/(1\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-1\/8)*q*q**(-16))**8)**(-1\/2) assuming q is positive.\nAnswer: q**(113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1923 + 2 + 1 + -9 + -3.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 0 - (-5 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 4*f = 53, -32 = -z + 3*z + 2*f. Suppose -64 + 7 = -3*b. Calculate the remainder when b is divided by (z + -2)*2\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -8520 + 8520 - n. What is i(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.92 + 3. Let p = f - -0.22. Let x = -0.3 + p. What is the closest to x in 0.5, 0.3, -5\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*t - 3*c + 4*c + 19, -16 = 3*t - c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1349840676 a multiple of 2196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of 7*r**5\/20 + r**4\/12 - 4*r. Suppose 0*f - 3 = 3*f. Give y(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 98 and 1911?\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1959 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:08 PM and 8:24 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10517 and -0.025.\nAnswer: 262.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 902, 5 in decreasing order.\nAnswer: 902, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -96*i**2 - 83*i - 1. Let v be z(-1). Which is the closest to -0.1?  (a) 3\/4  (b) v  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (16 - 17)\/(4\/(-968))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of -k**8\/28 - k**6\/10 - k**5\/10 + 7*k**3\/3 - 1227*k**2 + 2*k. Find the third derivative of p(c) wrt c.\nAnswer: -720*c**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5*(7222\/(-30) - (-13)\/39). Suppose d = 2*v - 134. What are the prime factors of v?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 10:31 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 369 a factor of 631719851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*f = -62*f + 46. What is the fourth smallest value in 0.111, f, -4, -5?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-42))\/((-9)\/(-126))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 43 + -44. Let v(q) = 6*q**2 - q + 1. Let p(n) = 17*n**2 - 2*n + 3. Let i(u) = 3*p(u) - 8*v(u). Let d be i(s). Solve f - d = -1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/24 and -43\/27152?\nAnswer: 81456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 11*f**2. Let u(o) = 344*o**2 - 88. Let z(x) = 4*x**2 - 1. Let b(l) = -2*u(l) + 176*z(l). Determine b(j(r)).\nAnswer: 1936*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(22)\/(sqrt(44)\/sqrt(4) + sqrt(11)))**2 - (sqrt(16)\/(sqrt(24)\/sqrt(3)))**2) + ((sqrt(128)*-2)**2 - sqrt(2) - (-1 + -2*sqrt(2))**2).\nAnswer: -5*sqrt(2) + 1003\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -51, -50, -51, -54, -59, -66?\n\"Answer: -q**2 + 4*q - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 10722 divided by 1\nAnswer: 10722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (16\/(-2))\/((-8)\/28). Suppose -4*y = -0*y - p. Let z = y + 2. Calculate the remainder when 17 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4224*m - 100 = -4229*m. Solve 6 = -3*d + 3*a, m*d - 18 = 19*d - 3*a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.046 + 0.116. What is the biggest value in 5\/4, s, 4\/11?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2*l**2 - 98*l + 100. Determine c(-46).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 62 + -62. Suppose l = -4*c + 6*c - 14. Let r be ((-2)\/(-4))\/((-1)\/(-2)). What is the greatest common divisor of r and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h - 23 = 13*h + j, 7 = 2*h - 5*j. Let q(z) = -z**2 + z. Let p(g) = 4*g**2 - g - 3. Let c(a) = p(a) + 3*q(a). Give c(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-7 - (-5 + 8)) + 1. Let r(c) = -3*c**2 - 24*c + 22. Give r(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (65\/39)\/((-10)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8489421?\nAnswer: 3, 314423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3400 (base 7) to base 10\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 + -34.4. Let t = g + 13.1. Let l = -0.3 - t. Sort -3, l, 0.4 in increasing order.\nAnswer: -3, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -539.9787 to the nearest integer.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 3 h when four letters picked without replacement from {s: 5, p: 1, q: 7, g: 2, h: 3}.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 5. Suppose 3*o = 2*c - 10, 0 = -57*o + 59*o - 3*c. Is j > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(240) - sqrt(240)*1)\/(sqrt(180) + (sqrt(180)*1 - sqrt(180))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 190 a factor of 7210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((15\/(-12))\/5)\/((-26)\/13).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 324 - 313. Suppose v*p = 39*p - 38556. What are the prime factors of p?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**2 - 4*o - 2. Let p(m) = 5*m**2 + 9*m + 11. Let s(k) = -10*k**2 - 18*k - 25. Let j(u) = -5*p(u) - 2*s(u). Determine -4*j(h) + 9*w(h).\nAnswer: 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of 25*n**7\/14 + 53*n**6\/6 - 62*n**5\/5 - 29*n**4 + 160*n**3\/3 - 32*n**2 - 16*n + 12. Find h such that d(h) = 0.\nAnswer: -4, -4\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k + 11. Determine w(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vu when two letters picked without replacement from uuvppv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 1794135000 to the nearest one million.\nAnswer: 1794000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -61\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/13))**(5\/8) assuming i is positive.\nAnswer: i**(-5\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1944939 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 4*d + 2*d - 3*d - d. Let j(l) be the third derivative of l**4\/12 - 3*l**2. Give j(u(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-54336)\/11886)\/((-6)\/7).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-21)*10*(-3108)\/296.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -2*h - 2 - 6, 5*h = -d + 2. Suppose d*f = -0*f + 4. What is the nearest to -3 in f, 3\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - (0 - 14 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.38910778 rounded to four decimal places?\nAnswer: -0.3891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -13*m**3 + m + 4*m**2 + 14*m**3 - 3*m. Let q be j(-4). Let z be 17 + q\/12*-6. Calculate the highest common divisor of 39 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 615 is divided by 112?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -86*f + 89*f - 9887, 0 = -3*f + 2*b + 9875. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 14 and 0.00872984646.\nAnswer: 14.00872984646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 167 = 2*d - 215. Round d to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -5934437?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of 0*f + 10*f**2 - 1\/60*f**5 + 0 - 1\/24*f**4 - 1\/120*f**6 + 1\/6*f**3. Determine l(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3895*s + 164001 - 27676 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1909, -25, -1, 6, 2, -6 in descending order.\nAnswer: 1909, 6, 2, -1, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4904931, -9809838, -14714745, -19619652?\nAnswer: -24524559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1570, -1982, -2394?\n\"Answer: -412*g - 1158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.074 + -82.926. Let t = -83.000037 - h. Round t to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5276 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of y**7\/1260 + y**4\/4 + 17*y**2\/2 + 98*y. Let w(f) be the third derivative of a(f). Let p(v) = v + 1. Give p(w(u)).\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 88*d**3 + 2*d**2 - 63492*d - 63494. Give h(-1).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1.8, -38, 1\/8, 0.2, -1, -13\/8, 2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 133515 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2289377 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3 = -1. What is the biggest value in -3, 5, 16, f?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -33987\/4 < -8498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + (-7 - -5 - (-3 + 5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 - 1.7. What is the closest to s in 1\/9, -5, 1\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -11 - (-3 + 156\/(-13)). Let z be (0 + -9)\/(1*-1). Differentiate 24 - 12 - z + 9*d**m wrt d.\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-8\/13))**(2\/79) assuming p is positive.\nAnswer: p**(-16\/1027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.4 + -1.1. Let v = -1.18 + b. Round v to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0115872 rounded to four dps?\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/11, 3, 10, 5, -90.67, 2, -12?\nAnswer: -90.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 83 take away -0.1071?\nAnswer: 83.1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from vvavxvvlvlvvvavv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 42 - 25. What is the second derivative of 0*w**4 - 2*w**4 - 3*w**4 - x*w**4 + 4*w wrt w?\nAnswer: -264*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 3 - 13 = -4*s, -4*p + 3*s - 17 = 0. Let k = -20 + 26. Let o(f) = -5 + 5 + 0 + k - f. Let a(i) = -i + 5. Calculate p*o(b) + 6*a(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + -4 + 34 + -28.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8984*s**3 - s**2 + 241 - 3*s**4 - 4496*s**3 - 4486*s**3 wrt s?\nAnswer: -72*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26539.9200007 - 26540.15. Let n = -0.23 - s. Round n to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 669 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, -51, 5, -1, 1, 7, -5 in increasing order.\nAnswer: -51, -5, -1, 1, 5, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52 is divided by 18 + 16\/(-40)*-5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37*0.071\nAnswer: 2.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*y - 14*y - 27. Let t be ((4 + y)\/(-25))\/(-1). Sort 1, 0.3, t, 11 in decreasing order.\nAnswer: 11, 1, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of -c**4\/4 - 53*c**3\/6 - 13*c**2\/2 - 21*c. List the prime factors of m(-16).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*i - 179 = 33*i - 18*i + 113 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -804, 0, -2, -1, -90, 4 in descending order.\nAnswer: 4, 0, -1, -2, -90, -804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (20\/(-2))\/((-285)\/228) - 6. Let k be (-2 - (-2)\/1)*1. Suppose -o + k*o = 0. Put u, -5, o in decreasing order.\nAnswer: u, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 100539\/7 + -14363. What is the third smallest value in 0.3, -2\/13, q, 59?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.07*-1247.1541\nAnswer: 1334.454887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, -1\/2, -176 in decreasing order.\nAnswer: 5, -1\/2, -1, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 62 - 60. Suppose -5*a - 2*j = -3153, -a - a = -u*j - 1264. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 10584?\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 10:42 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t + 57. Let d(q) = 2*q**2. What is p(d(m))?\nAnswer: 2*m**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 297487479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 2 - 2)*(-930*h + 5156 - 5156)*(-h + 0*h - h) to the form l*h**2 + w*h + q and give l.\nAnswer: 1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 3*h - 56 = -78, -10 = -5*h. Solve -13*x + 17*x = -z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y + 5 - 3 + 8*y)*(-3*y + 5*y - 3*y).\nAnswer: -6*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/11, 0.1, 0.4, 1, -201459?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 12*z**2 + 563*z + 61. What is the remainder when 434 is divided by n(-47)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -3*f - 4, -5*f - 48 = -4*v. Calculate the remainder when 19 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4\/2905 - 2917\/8715. Let p be 6\/(-5) + 1\/1. Which is the third biggest value?  (a) -0.1  (b) f  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/231)\/((-2)\/14). Suppose b = 2*r + 26, -4*r = -8*r + 3*b - 54. What is the closest to r in u, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (23 + 1)\/(9 + -7). Suppose t = 9*a - 6*a. Solve -3*h = q + 2, -h = 3*h + a*q - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 - 91 = 36*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 595808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that c**3 - 3577*c**2 - 115521*c + 119097 = 0.\nAnswer: -33, 1, 3609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, m: 2, k: 1, x: 1, r: 2}. Give prob of sequence ppx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 939524419 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 171 smaller than 259529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 136 + -132. Let g = -3.18 - -0.18. Put o, 3, g in ascending order.\nAnswer: g, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/9 + 1654*a\/9 - 19988\/3.\nAnswer: -2*(a - 789)*(a - 38)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 140*f - 5292. Give p(46).\nAnswer: 1148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 31, 52, 77, 106, 139?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-2 + sqrt(19))**2 - ((sqrt(209) + 1*sqrt(209) - sqrt(209)) + sqrt(209))\/sqrt(11).\nAnswer: -6*sqrt(19) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + i + 1. Let z(s) = -2*s**2 + 7*s + 7. Give -14*o(n) + 2*z(n).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3*g - 11. Suppose -9 = 2*j + 7. What is r(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from {c: 1, h: 1, d: 1, a: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/668 and 101\/22?\nAnswer: 7348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18 - 4*b + 2 + 12 + 7 to a*b + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2619 + 2619.3. Which is the closest to -1?  (a) r  (b) -2\/3  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -103886 divided by -571.\nAnswer: 103886\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3891 and 9.5.\nAnswer: 36964.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20.5 - 20.3. Is m <= 2\/1317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 107.619970916 + -107.62. What is q rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2550979\/456 - 22377\/4. Find the common denominator of -113\/1308 and t.\nAnswer: 49704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8.1 - 8. Suppose -5*f = -4*y - 35, -15 + 5 = 5*f + 5*y. Which is the third smallest value?  (a) x  (b) f  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3829809*p**2 + 8862264*p.\nAnswer: -7659618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 505276?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - d = -2*d + 27, -2*d = -5*i - 29. Let y = 750.17 + -749.77. Sort i, y, -1.8 in descending order.\nAnswer: y, -1.8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -2) + (-1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.78 + -0.78. Let h(l) = -2*l. Let w be h(-2). What is the second biggest value in i, w, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**2 - 8*p + 3. Let f = -73 - -134. Let d = -54 + f. Determine y(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01925496 rounded to 4 decimal places?\nAnswer: -0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1375783554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -5334090, -5333787, -5333282, -5332575?\n\"Answer: 101*z**2 - 5334191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*a**4 + 7*a**3 - 9*a**4 - 9*a**2 - 6*a**4 + 3*a**5 + 14*a**3.\nAnswer: 3*a**2*(a - 3)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -111 + 464. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 25, 17, 7, -5?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 50173682\nAnswer: 1\/25086841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n = -12*n + 44. Let p be 9 - -2*(-3)\/2. Suppose -p*r + 363 = -3*r. Calculate the highest common factor of r and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 110175, 220320, 330441, 440532, 550587, 660600?\nAnswer: 770565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -36*l + 1029. What is the remainder when 273 is divided by o(26)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -275253 and 0.2?\nAnswer: -55050.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 2. Let x = -0.4535 - -0.1535. What is the closest to -1\/4 in -4\/9, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -1 - (34 + (-16 - -24 - 10)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-6\/5))**(1\/13) assuming f is positive.\nAnswer: f**(-6\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001345 rounded to 5 decimal places?\nAnswer: 0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2354708)\/(-14) - (5 - -1)*186\/2604 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -4. Suppose -5*u - 1 - 4 = b. Let y be (-22)\/(-6) + u\/(-3). Is y at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -12.443  (b) 103  (c) 0.2  (d) -2  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120*p - 3283 + 5203 = 0 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 - s - 3. Let h be 4\/14 + (-4)\/14. Suppose 5*z - 15 = h, z - 22 = -5*o - 3*z. Let w(c) = 3*c**2 - 4*c - 10. What is o*w(n) - 7*j(n)?\nAnswer: -n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 + 41*y + 413. What is z(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 505679616 by 1248.\nAnswer: 405192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from eveveveeveeeeeeeeeee.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2 - 4*l**2 + 5*l**2 - 63. Let k be a(0). Let b = 266 + k. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1c (base 15) in base 5?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 507 - 19. Let v = o - -126. Solve 4*d = -5*a + 17, -11 = -2*a + v*d + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 6*p - 12, 6*f - 19*p + 14*p + 9 = -6*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of u**6\/60 + u**5\/60 + u**4\/24 - 9*u**3 + 95*u**2 - u. Find the second derivative of b(x) wrt x.\nAnswer: 12*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 - 5*m**2 - 1. Give l(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(425) - ((sqrt(425) + 1 - sqrt(425)) + sqrt(425))) + sqrt(425)) + sqrt(425))**2 - (sqrt(1377) - -1*sqrt(1377)*4).\nAnswer: -345*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.03  (b) 17  (c) 8467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 + 35. Sort 5, 3, t, 0 in descending order.\nAnswer: 5, 3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2\/356855 + -35328677\/5709680. Find the common denominator of d and (-10)\/192*113\/(-5).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8314803\/437 + 19027. What is the common denominator of o and 26\/437?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of -l**6\/120 + 9*l**5\/20 - 7*l**4 - 98*l**3\/3 + l**2 - 62. Factor s(v).\nAnswer: -(v - 14)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the first derivative of j**7\/630 - j**6\/120 + j**5\/90 + 5*j**2\/2 + 4. Let l(t) be the second derivative of o(t). Let l(p) = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, b: 6}. Give prob of sequence bwwb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 901661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -2\/36175?\nAnswer: -2\/36175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -129341805*k - 339393609 wrt k.\nAnswer: -129341805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 75888 and 552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*g - 10*g - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = -13*w + 16*w + 48 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 98 and 1127?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwwdwwwwdwwwwwd. What is prob of sequence wd?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**2)\/z*z*z*(z**4*z)\/z)\/((((z*z**(1\/5))\/z)\/z)\/(z\/(z*((z*z**(2\/3))\/z)\/z))) assuming z is positive.\nAnswer: z**(137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3112*h - 518949 + 518949.\nAnswer: -3112*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 5, t: 7}. What is prob of picking 3 t?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**2 - y**2 + y**3 + (2*y - y - 7*y)*(-3*y**2 - 2*y**2 + 4*y**2).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 2*b - 2*b = -14*c - 2*b + 3, -33 = 4*c + 11*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 5808 divide 255524954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from xxxxxxxxxrxr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11397 - 1933 = -2*o. Let u = o + -4693. Suppose f + 3*f = u. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*c + 130 + 47 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -392 - -13?\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + -5. Let z = y + 5. Let j(x) = x**2 - x + 7. Let l(w) = -w**2 + w - 6. Let b(v) = -6*j(v) - 7*l(v). Let s(d) = d**2 - 2*d. Calculate z*s(k) - 2*b(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i**2 + 7*i**2 - 3*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1735149 is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*u**3 - 4*u**3 - 5*u**3 - 9*u**3.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1284910 + -584633744\/455. Let h = s - -12\/65. Find o such that 2\/7*o**3 - h*o - 4\/7 + 0*o**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 4*a - v + 232, -220 = 4*a - 2*v. Let w be a\/21*(-351)\/(-12). Let k = 191 + w. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4, -8, -12, -16, -20, -24?\n\"Answer: -4*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/322830 and 133\/466310?\nAnswer: 4196790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -3*i + 3*l, 0*i - 6 = 2*i - 4*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -368245\/28 - -13152. Calculate the common denominator of t and -5\/1876.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*d - 7*d - 3*d)*(-37*d - 17*d + 34*d - 2 + 2 + d + (2*d - d + 0*d)*(-2 + 1 - 1) - 6*d - d + 2*d)*(3 - 6 + 4).\nAnswer: 416*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16 - -20. Suppose -3*n = -v*n + 3. Suppose -m + n = -1. Solve 3*q = q - m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 376\/564*(-15)\/6.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 521 = 125*a, -2*a - 156 + 94 = -2*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2369 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 + -17. Suppose 7*w - r = 3. Is ((-77)\/22)\/(w\/(-122)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + (0*4\/16)\/(-4). Let r be (j\/(-5))\/((-30)\/1275). Let t = r + -4. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + 8*v**2 + 6*v - 3. Let b be d(-7). Suppose 2*c + 12 = -c, b*x = 2*c + 16. Calculate the least common multiple of 45\/(-18)*104\/(-65) and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*q = 2*q + 19. Let s(b) = -88*b - 4. Let o be s(q). What is the greatest common factor of o and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 37820*k - 37887*k - 1541 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 + 11*g - 1. Suppose 20*j + 2*i = 18*j - 16, 4*j = i - 47. Calculate k(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -37235\/74478 - 2\/37239. Let b be 35\/11 + (-2)\/11. Let r be b\/6*(-2)\/(-2). Sort -5, 2, r, v in decreasing order.\nAnswer: 2, r, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -3*r**3 + 6*r**2 - 12. Suppose 2*y + k + 8 = 0, -3*y = 4*k - 0*k + 2. Let f(i) = 3*i**3 - 5*i**2 + 11. Give y*f(x) - 5*c(x).\nAnswer: -3*x**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*w - 3*w. Let m = -9 + 10. Let j(r) = 3*r**2 + m + 18*r - 4*r - 11*r. Give j(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -42*u**2\/13 + 622*u\/13 - 76.\nAnswer: -2*(u - 13)*(21*u - 38)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -195, -196, -197, -198?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 161112 and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 2*w + 4. Let l(y) = -4*y - 7. Let p be 0 - (-3 + (2 - 0) - 3). Determine p*l(f) + 7*v(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*v**3 - 16*v**2 + 16*v**2)*(-1415*v + 1953774 - 1953774) in the form a*v + p + r*v**3 + h*v**2 + n*v**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-1\/13)\/g**(-1\/4) assuming g is positive.\nAnswer: g**(9\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0.2, 3, -4693\/5 in descending order.\nAnswer: 3, 2, 0.2, -4693\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 7 + 27\/2*p + 6*p**2 - 1\/2*p**3 = 0. Calculate p.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3\/7 + 9*w**2\/7 - w\/7 - 9\/7.\nAnswer: (w - 1)*(w + 1)*(w + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 8 - 1)*(l**4 + 0*l**4 + l**4 - l**4 + 2*l**4 - 2*l**4 + (4 - 4 - 2*l**2)*(1 - 1 + l**2) - 2*l**3 + 2*l**3 + l**4 + 0*l**3 + 0*l**3 - l**4).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b - 1. Let w(j) = 6*j + 226538 - 226538. Give -3*a(c) + w(c).\nAnswer: 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 55982 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 105406213 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-3 + sqrt(68)\/(sqrt(16)*-2)).\nAnswer: -15 - 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(675)*1*4)\/(sqrt(9) + sqrt(108)\/(sqrt(12)*4) + (sqrt(72)*2)\/sqrt(8) + sqrt(9)))**2.\nAnswer: 76800\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -173 = 10*h - 873. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -76 + 35 + 15 + (10 - -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.13 - -9.47. Round s to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d + 5*d + 5*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in eighteen fifths of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 434.224962 - 12716\nAnswer: -12281.775038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -0*t + t + 6, -5*r - 5*t + 10 = 0. Suppose 3*g + r*g + 5*x - 1560 = 0, -4*x - 971 = -3*g. What are the prime factors of g?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -38.91 + -0.09. Let q = 39 + r. What is the third smallest value in 2\/13, -2, q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + b - 2*b**2)*(-1 - 2*b + 1 + (3*b - 2*b - 2*b)*(3 + 3 - 5)).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*i**2 + 3*i**3 - 27*i**2 - 36*i**2.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(((v*(v\/(v*v*v**(1\/2)))\/v)\/v*v)\/v)*v))**(3\/19))**6 assuming v is positive.\nAnswer: v**(-63\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34622 is divided by 266.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 685*g + 12861043 = 12850768 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13 + -11. Suppose 2*k + 100 = 5*k - 2*d, -w*k = 3*d - 71. What is the greatest common divisor of 85 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q**(-9)\/q))\/(q**(1\/13)*q*q*q) assuming q is positive.\nAnswer: q**(103\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/3, 6\/151, -0.3.\nAnswer: -4\/3, -0.3, 6\/151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 27 + -21 + 1 + 1 - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cexe when four letters picked without replacement from cxceexecxee.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11526099.\nAnswer: 3, 13, 295541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of -4*p**3\/3 - p. Let w(i) = -138001 + 138001 + i + 2*i. Give r(w(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*r + 90 - 30. Suppose 0 = 5*v, 8*v - 1 = -c + 9*v. What is the greatest common divisor of c and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 106943704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 161*w + 205*j = 84*w + 82*w + 865, -21 = 2*w - w - 3*j for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -552c (base 13) to base 11\nAnswer: -8a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.9 - -2.9. Let k = -135.8 - -136. What is the nearest to -1 in k, 2\/7, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*i + 115*i + 372 = 0 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128 = 61*g - 360 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -58 - -25. Let o = v - -29. Which is the smallest value?  (a) -3\/5  (b) -26  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-2))\/((235209\/(-370))\/(-163)).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 6651639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -2*v**5\/3 + 14*v**4 - 260*v**3\/3 + 176*v**2 + 64*v\/3 - 256 = 0.\nAnswer: -1, 2, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as -2\/4336921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ws when two letters picked without replacement from wsms?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 141 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/8 + 0\/(-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -585346 and 0.8.\nAnswer: -468276.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Is 4680157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g - 4*j = -1, 4*j - 6 + 15 = -g. Let x(s) = -14*s**2 + 2*s + 1. Determine x(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uqyuuuquycqqqququqbq. What is prob of sequence uquq?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*k + 3975 - 4045 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*7*(4 - 6). Let g = 22 + u. Let l = 1 - g. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q + 0*q - 2*q - 2*q - 5 + 5 + (-4*q + 4*q - q)*(-3 + 4 - 2) + q + 0*q - 2*q)*(-3*q**4 + 2*q**4 - q**4).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m\/(m\/m**(2\/7)))\/m*m**(6\/5)\/m)\/((m**(-3)\/m)\/m)**(5\/12) assuming m is positive.\nAnswer: m**(1079\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a**1)**(-47))**16)**4)**31 assuming a is positive.\nAnswer: a**(-93248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*m + 239 - 174. Let 0*c**2 + 0 + 1\/5*c**4 - 3\/5*c**m + 0*c + 2\/5*c**3 = 0. What is c?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2757 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**2 - 4*h**2 - 2*h**2 + 26*h**2.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 8) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - d - 14 = 0, -2*x - d + 14 = -2. Let b = x - 52\/9. What is the closest to -2\/7 in -0.083, b, 0.5?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 5*l**2 + 4*l - 3. Let r(g) = 5*g**2 + 3*g - 2. Suppose -15 = -4*f + 9*f. What is f*y(t) + 4*r(t)?\nAnswer: 5*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2)\/q*q)**(2\/55)\/(q**(-2\/11)*q\/q**(-2)))\/(q*q**(-1\/13)\/q*q*q\/(q\/(q*q*q**13)))**(1\/72) assuming q is positive.\nAnswer: q**(-17801\/5720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.1 + 0.1. Suppose 2*n = 6*n + 12. Put 0.3, n, l in descending order.\nAnswer: 0.3, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express x**3 - 2*x + 3*x**2 - 3*x**2 as b*x**2 + g*x**3 + r + t*x and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*f**2 + f**2 - 2*f**2 + f + 2*f**2 - f + (-f + 0*f - f)*(0*f - f - f) - 115*f**2 - 7017 + 7017.\nAnswer: -107*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 4*x + 12 = 0, -2*i - 13*x + 8*x = 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 8*d**2 - 3*d + 6. Let n(f) = -f**2 + f - 1. Determine 5*n(x) + q(x).\nAnswer: 3*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*q - 22*q = -12*q + 315 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*-1*sqrt(121) - sqrt(121) - 3*(sqrt(121) - ((sqrt(121) - (2*sqrt(121) + sqrt(121) - sqrt(121))) + sqrt(121))))*1)\/(-5*sqrt(275) + 1*sqrt(1331)).\nAnswer: 9*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8*2\/4*165\/132?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 5*d + 9. Let c be i(-15). Let t = c - -117. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 7*f. Let t(h) = 43*h + 24959. Give t(b(w)).\nAnswer: 301*w + 24959","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 382469 is divided by 165?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(98)*3 + sqrt(98))*5 - (-3 + sqrt(98)*-1))*-6*-1)**2.\nAnswer: 31752*sqrt(2) + 1556172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*j + 2288 + 2982 = -15*j + 52*j for j.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/(0 + (-3)\/(-6)). Let r = -8 - f. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 81522 and 22?\nAnswer: 896742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 291 greater than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 0*b = -b + 16, -k + 3*b - 6 = 0. Let r = k + 24. Calculate the common denominator of 8\/3 and r\/(-27)*3*(-87)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 688571.9 millilitres in litres?\nAnswer: 688.5719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3, -2\/7, 0.4, -2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 divided by 7813.\nAnswer: -29\/7813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a + 718 = 2478. What are the prime factors of a?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153 = -5*z + 8*z. Let u = -49 - z. Suppose -2*f + u*j - 110 = -4*f, -5*j + 71 = f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2356 = -u - 2267. Let m be -2 + (u\/(-9) - -2). Let j = m - 502. What is the common denominator of j and -101\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, 6, -163, 73?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (28\/(-6))\/(12\/(-18)). Suppose 0 = v - b + 2. Suppose v*d + 134 = -n, 6*n - d + 599 = 2*n. What is n rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/45 + 1\/3. Let i be (4\/20)\/(-1) - 26\/20. What is the nearest to -4 in r, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(54)\/sqrt(3))\/sqrt(6))**2 - (sqrt(2187) + sqrt(3)).\nAnswer: -28*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*t**3\/9 - 40*t**2 - 802*t\/9 + 44\/3 = 0.\nAnswer: -11, -3, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 45\/10*(4 + (-24)\/9). Suppose 9*h - i*h - 1813 = -g, 5*h + 5*g = 3035. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 4*q - 3 = 0. What is the derivative of 0 - 2 + 6 + m**q wrt m?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = x - 6. Suppose -x = -5*f - 367. Let r be (f\/(-5))\/((-36)\/(-120)). What is the highest common factor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2739?\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -5b (base 12) to base 9\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0217251335 to 5 dps.\nAnswer: -0.02173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-41)\/((-943)\/184) - (-1)\/(1\/6). Solve -l*s - 264 = -362 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -3*b**4\/5 + 34*b**3 - 276*b**2\/5 + 54*b\/5 + 11 = 0.\nAnswer: -1\/3, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 69400000 rounded to the nearest 1000000?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 586271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zkzzzzzkz. What is prob of sequence zkzk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 382738 is divided by 2611?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4269 and 175730539?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 22 + 2 = 0. Let o be (-323)\/1*(i + 5). Suppose 0*s + s = o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-396)\/(-15))\/(42936\/125230)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/2 of a centimeter in millimeters?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2496 minus 4.485382?\nAnswer: -4.235782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vwwvwvvwvwwvwwkccwv. What is prob of sequence cwk?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 83990 and 1480.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 494441292.\nAnswer: 2, 3, 83, 496427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -33034300 (base 5) in base 10?\nAnswer: -283700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 99 and 648.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - (-13 + 2)) + 3 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 390831 + -0.14024.\nAnswer: 390830.85976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 15\/4*q - 1\/4*q**3 + 0 + 7\/2*q**2 = 0.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1396225908 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 3*p. Let k(v) be the third derivative of -5*v**4\/24 + 55*v**3\/3 + 5*v**2 - 137. What is k(l(f))?\nAnswer: -15*f + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111018*w - 315044*w + 1520*w - 738699*w.\nAnswer: -941205*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26.73612 milliseconds to hours.\nAnswer: 0.0000074267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (30\/24 - 1)\/(-5*(-5)\/(-75)). Let g = 7 - 4. Which is the nearest to g?  (a) -1\/8  (b) 0.4  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + 7. Let o = v + -12. Solve s = -o*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2515a4 (base 12) to base 16.\nAnswer: -9370c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10921 is divided by 557?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 72099 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-17)\/(x*x**(7\/6)))\/(x*(x*x**14*x)\/x)**(-4\/3) assuming x is positive.\nAnswer: x**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 1017054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 60056 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: What is the value of (6\/(-12) - 42\/(-204))*32\/(-80)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - y - 130 = 112, -500 = -4*b - 2*y. What is the remainder when 136 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.33 * -79796.\nAnswer: 106128.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 9*p**2 + 15*p + 2. Let d = 213 + -217. Let h(r) = 7*r**2 + 13*r + 2. Let a(n) = d*s(n) + 5*h(n). What is a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**4\/3 + 8*n**3 + 14*n**2 - 196*n\/3.\nAnswer: 2*n*(n - 2)*(n + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (165\/30 - (9 - 3))\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1a2bcc - -297?\nAnswer: 1a3085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 826.9 - -227.1. Let n = -1052.986 + j. Round n to 2 dps.\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 154657230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, m: 5, p: 2, f: 2, z: 4}. What is prob of sequence pm?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 151.5014 times -0.5?\nAnswer: -75.7507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + -860278821?\nAnswer: -860278823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 - 63*r**2 - 65*r - 176. Let o be p(-62). Solve -j - z = 2, 7*z + o = -5*j + 4*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 544.1 rounded to the nearest ten?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59619742 is divided by 1335.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-30)\/9*60\/(-50). Suppose m = 2*t + 11, t - j*m = -4*t - 35. Calculate the remainder when 50 is divided by (t + -1)\/((-40)\/190).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 16) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (38\/(-3))\/((-28)\/(-12) + -3). Let l = n + -22. Let v be -2 + 30\/8 + l. Which is the closest to 1?  (a) v  (b) -1\/4  (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2 = -3*h, 26*i = h + 24*i - 14. Let v(z) = 27*z**2 + 4*z + 7. Let b(u) = -9*u**2 - u - 2. What is h*v(l) - 7*b(l)?\nAnswer: 9*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o*o\/((o*o**(2\/7))\/o))\/(o\/(o*o**(-2\/11)*o*o)*o))\/(o**(-4)*o**6))**(-1\/9))**(-14\/3) assuming o is positive.\nAnswer: o**(82\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -53.994 - -54. Let w = 3.006 - s. Which is the second biggest value?  (a) w  (b) 2  (c) -1  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 961007600 rounded to the nearest one hundred thousand?\nAnswer: 961000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -84 - -80. Sort 4\/3, -0.5, -3\/2, z in decreasing order.\nAnswer: 4\/3, -0.5, -3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 5*x - 2*x**3 + 10*x**2 - 18*x - 2*x**3 + 10*x**3 - 26 - 5*x**3. Give v(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v**3 + 12*v**2 - 8*v - 18. Let t be y(-6). Let l be (3\/(-5))\/(1\/(-5)). Suppose l*k - 7*k + 24 = 0. Calculate the greatest common factor of t and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -494871*c + 494946*c - 300 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10*((-2)\/1 - -19). Calculate the highest common divisor of m and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*l - l + 62. Let g = l + -58. Differentiate -5 + g + 4*j + 1 - 3 with respect to j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -2*n**3 + 366376*n**2 - 334341832*n + 76468207616 = 0.\nAnswer: 458, 182272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(5\/7)*v*v**(-3)*v)**(-1\/3))**31 assuming v is positive.\nAnswer: v**(62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - (-77)\/55) + (-79926)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b - 14*b - 4*f = -16, f + 24 = 3*b. Let m = 1358 - 934. Calculate the highest common factor of m and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*c**5 - 275*c**4 + 135*c**3.\nAnswer: 5*c**3*(c - 27)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - 6*88\/6. Let b = -22 - f. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8334822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(11) + 0)*4 - (-3*(sqrt(11) + 2) + 4).\nAnswer: 2 + 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-182)\/(-7)*6\/(-4). Let f = 41 + q. Factor 32*t**3 - f*t**5 - 14*t + 3*t**5 - 16 - 56*t**2 - t + 63*t - 9*t**4.\nAnswer: (t - 2)**4*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 109 - -2 - (-4441 + 4635)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + 0\/2 + (-4 - 1). Let o be 5\/(20\/104) - b\/(-2). Let x = 1 + 6. Solve 0 = 4*y + o - x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -263 + 266. Suppose 4*n = 0, 4*x = -0*x + 5*n + 8. Solve 4*m - w*m = x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 593 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 377225770.\nAnswer: 2, 5, 3037, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 250346789.\nAnswer: 1001387156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21034*g - 21034*g - 6867*g**3)*(-1 + 3 - 3).\nAnswer: 6867*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -0.2. Let a = -1 - -0.6. What is the nearest to 0.1 in r, a, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 8. Let b = 7 + -4. Suppose 4*w = -b - 17. Sort -3, w, t in increasing order.\nAnswer: w, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 190, 725, 1592, 2791, 4322, 6185, 8380?\n\"Answer: 166*d**2 + 37*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 188 = 4*z, -3*z - 44 = -4*z - 2*g. What is the remainder when z is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -2\/11  (c) 6.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4041041 + 22020?\nAnswer: -4015021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 5*q + k, -3*k - 7 - 5 = -2*q. Let b(t) = t**3 + t**2 + t + 2. Let d be b(q). Let f be -1*d - (-21 - -20). Let r(g) = g**2 - 2*g - 1. What is r(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -8. Find h, given that l*h**2 - 13*h**3 - 6*h**5 + 5*h**4 + 14*h**5 - 7*h**5 + 0*h**5 + 0*h**2 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1240, 2478, 3654, 4738, 5700, 6510, 7138, 7554?\n\"Answer: -5*a**3 - a**2 + 1276*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14 or 122\/9?\nAnswer: 122\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 31\/(-5)) + 2\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2332.1937 months in centuries?\nAnswer: 1.94349475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from ayppyyjpppppapapoa.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 175472835 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25294 - -48088. Suppose 180*p = 186*p - y. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 12 = 3*j. Suppose 18 - j = 3*s. Solve 4*h = -w + 2*h + 3, -s*w + 5*h = -30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/23022 and 97\/978435.\nAnswer: 1956870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5682, -11384, -17086?\nAnswer: -22788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5.7 - 325\nAnswer: -319.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-9)\/(-6))\/(3\/6). Suppose 5*q = -4*m + 18, 2*m - a*m = -q. Differentiate 3*i + m + 2 - 1 with respect to i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -403642\nAnswer: 1\/201821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -68321137 + 68288959.0024. Let k = q - -32127. Let h = -51 - k. Round h to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 6 - 6)*(1 - k - 1 - 3*k - k + 5*k + (0*k + k - 3*k)*(-2 + 2 - 2)).\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-128*y - 13400 + 13400)*(6 - 6 - 2*y) in the form o*y**2 + x*y + f and give o.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -661 + 4635\/7. Is w <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -2, 2, 0.5, 15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - -8*2\/(-4). Is r*(-1)\/8*80 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - 2)*0\/(-2). Let w be n\/((-7)\/(21\/6)). Suppose w = -2*d + m + 82, -47 = -d - m - 0. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -9*h + 24. Let g be 2\/h - (-55)\/20. Suppose -i = g*i - 124. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 866610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 - 0\/2) + 58 + -56. Sort 5\/7, 0.4, w in descending order.\nAnswer: 5\/7, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/(-36))\/((-1)\/2). Let s = 367\/2 + -187. Let n = s + 5. Which is the third biggest value?  (a) 2  (b) h  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.6, -882.7, 22.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 + 5*b**2 + 3. Suppose -111*o + 116*o = 35. What is the least common multiple of g(5) and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22511452 is divided by 718.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4977290819 - 113*o + 4977290819 + 3*o**3.\nAnswer: 3*o**3 - 113*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1029430989 a multiple of 2584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of l**4\/42 - 16*l**3\/21 + 64*l**2\/7 - 141*l. Let x(k) = 0. Calculate k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 15 = -7*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 29*z**3 + 3*z**2 - 10*z + 1. Let w = 106 + -108. Let h(n) = 29*n**3 + 3*n**2 - 9*n + 2. Let s(c) = w*f(c) + 3*h(c). What is the tens digit of s(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + ((-16)\/(-7))\/2. Let j = -144 - -143.8. Which is the second biggest value?  (a) -0.4  (b) s  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.4 - -1.5. What is the nearest to -1 in 1\/7, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of 1\/80*j**5 + 0*j**2 + 1\/24*j**4 - 23 + j + 1\/24*j**3. Solve a(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 580684, 1161355, 1742026, 2322697, 2903368, 3484039?\n\"Answer: 580671*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of 12\/7*o**2 - 4\/7*o + 9 - 4\/21*o**3 - 64\/35*o**5 - 24\/7*o**4. What is i in j(i) = 0?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -336*h**3 + 33*h**2 + 27359.\nAnswer: -1008*h**2 + 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.52 - 0.08. Let v = 4.4 - t. Let y(q) = q**3 + 6*q**2 + 4*q - 4. Let u be y(-5). What is the smallest value in u, v, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vlv when three letters picked without replacement from {x: 1, l: 2, d: 4, v: 2, i: 6}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10702 by -944.\nAnswer: 5351\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the first derivative of -306*b**5\/5 + 208*b - 82. Find the first derivative of k(i) wrt i.\nAnswer: -1224*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1034\/21 + 49. Let z = -23\/21 - i. Let h = z + 16\/35. Which is smaller: h or -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -137 + 137. Solve -5*d - 7 = -4*u, o = 3*d + u - 3*u + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 112102 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 - 15. Let t = -2 + g. Let j = 0.04 + -0.44. Sort j, 0, t in decreasing order.\nAnswer: t, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a millennium in decades?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rcrccrcrpccrcccrrrr. What is prob of picking 2 c and 1 r?\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b - 3. Suppose -3*i - 19 = -1. Let h be o(i). Suppose -10 = -8*t + h*t. Calculate the highest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 929066*d**3*y + 2*d**3 - 2*d**2 - 14*d*y + 485230*y - 5 wrt d?\nAnswer: 5574396*d*y + 12*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1.6, 4\/7, 72?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -174*g + 170*g + 120. Let o be (12\/10)\/((5 - -1)\/g). Solve -4*p - 5 = -3*x + 12, 4*x = -3*p + o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-189))\/((-162)\/1458)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19*k**3*v**2 + 3*k**3*v + k**2*v**2 - 4*k*v + 3*v**2 wrt k?\nAnswer: -114*v**2 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 256 + -244 + (4 - 24)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2.5 from 2.26729.\nAnswer: 4.76729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) + 0 + -4 + 2*(-2*sqrt(432) + sqrt(432)) + 4)*-2*2)**2 + 4.\nAnswer: 6916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 + 2*h. Suppose 0 = 4*a - 4*v, 0*a = -a - v - 8. Let q be b(a). Is (-170)\/(-4)*q\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -45 - -45. Suppose 4*z - 11 = -3*s, z - 5*s - 10 = 10. Suppose -2*y - z*y + 14 = 0. Solve l - 3*l - y = h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3434065189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1077 - 1299 = -254*t + 2794 - 344 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.843, 0.1, -5, 14 in descending order.\nAnswer: 14, 2.843, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 + 4*j**2 - j - 1. Let a be b(-4). Let z = 3 - 0. Let k = a + z. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 201 - -0.16443.\nAnswer: 201.16443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of (-3 + 26)\/(15\/2400)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -16*g - 43. What is the remainder when 67 is divided by i(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 + f**2 + f + 65. Let h be n(0). Let b = -1 + h. Suppose -22 + b = 3*q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1149*d**2 + 4572*d**2 - 1095*d**2 - 1144*d**2 - 1120*d**2.\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 15.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, m: 5, y: 2}. What is prob of picking 3 m?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5915 = -16*u + 3*u. Suppose 3*f - 304 - u = 0. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*a + 87 = 5*m, -2293*m + 2294*m = -4*a + 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -3 + 15 + (-12 - 9 - 48) + -8.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 - l**2 + 2*l. Let h be 4*(0 + 1)\/(-1). Let v(y) = y**3 - y**2 + 2*y. Let q be -1 + 6 + -2 - -2. Determine h*v(w) + q*b(w).\nAnswer: w**3 - w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 37 = -4*y + 7, -2*y + 2*r = -28. Solve -p + 5 = -l, -2*l - 2*p = -0*l - y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + -8 + 2)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5950207, -5950206, -5950205, -5950204, -5950203?\n\"Answer: v - 5950208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 PM and 1:34 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.24 from 11029667152.\nAnswer: 11029667151.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (213 - 7)*(-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -9, -4, 3 in decreasing order.\nAnswer: 4, 3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1782*k + 1814*k - 43985 = 3133*k for k.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s**3 - 2*s**2 + 4*s + 2. Let n be v(4). Let a = 245 + n. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1304?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -682769 = 8*x - 266769. Round x to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2141 + 2141 - 178*l**3 + (-l**3 + 0*l + 0*l)*(5 - 3 - 1) to the form o*l**2 + u + z*l**3 + h*l and give z.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 4*f. Let v be t(2). Suppose 2*h + 30 = v*h. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(160)\/(sqrt(4)\/sqrt(50)).\nAnswer: -120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + z + 1 = -4*y, -2*z + 209 = -3*y + 231 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 36415 = 5*d, 72865 = 4*p - 10*d + 7*d. Suppose -p = -9*j - 1417. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3571 - -3573. Solve -4 = -v*a, -12*f - 5*a + 2 = -10*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112322232 (base 4) in base 5?\nAnswer: -11000440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 3*j**2 + 11*j - 13. Let i be x(4). Let y = i - 16. Let b(s) = 3*s**2 + 3*s - 2. What is the remainder when y is divided by b(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 2*t + 2, u - 16 = -3*t + 6*u. Suppose a + 8 - 12 = 0. Find the second derivative of -5*w + a*w**2 + 4*w - 5*w**t wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 32 = 3*t. Suppose 2*j = t*j - 138. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 115356524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to -10137\/5747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 - 2*o**2 - o. Let t(s) = 2*s**3 - 29*s**2 - 14*s - 21. Let f be t(15). Let x be (-32)\/(-8)*(-3)\/f. Calculate u(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1530971 is divided by 90?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6001\/(-68)*(7 - -1). Let k = z + 725. What is the remainder when k is divided by (-2)\/1*11\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 + 11*s**2 - 29*s - 4. Let t be o(6). Solve -10 = -5*y - h, t = -h - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tgggttggtttt. What is prob of sequence gtg?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 86 + -88. Let p be (-1*a\/(-6))\/((-2)\/4548). Factor 754 + 4*v**2 + 0*v - p + 0*v.\nAnswer: 4*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1388 + 2339. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 - 10*w - 132. Give i(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.952 to two dps.\nAnswer: -4.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/6)*c)\/c**(-1\/3)*c**5\/c**(1\/3) assuming c is positive.\nAnswer: c**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1137 or -2979?\nAnswer: 1137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 9*k + 4. Let x(w) = -10*w - 4. Calculate 7*r(c) + 6*x(c).\nAnswer: 3*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6293 and 2368865.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -5*w - 2. Let r = -32 + w. Let x = 81 + r. What is the remainder when x is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.03 - 0.01. Let a = -0.26 + x. Let i = -4 - -1. Sort a, i, 5 in increasing order.\nAnswer: i, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1953*g**2 - 241*g + 480*g - 239*g.\nAnswer: -1953*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 859 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d + 4*d + 0*d)*(0*d - d**2 + 0*d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 - 6*w + 4. Let z be g(6). Suppose z*l - 40 = -5*s, -2*s + 2*l = l - 3. Let n be 2 - (s + -4 + 2). Are n and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 175 and 45.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 + 8*j - 35. Let r be n(-15). Suppose -r = -6*s - 58. Let i(g) = g**3 + g**2 - 2*g. Give i(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2 - 13*c**2 - 8*c - 8*c + 2*c - 1 + c**3. Let x be y(14). Let r be x + 5*(-24)\/(-20). Solve w - r = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7736\/5 + -1539. Find the common denominator of r and -51\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1175 and 0.1.\nAnswer: -117.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 4 + 12 + -21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 445 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26841 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3e7 - 9e?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, d: 4, l: 2, f: 9}. What is prob of picking 1 d, 1 l, and 1 f?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1417*u**2 + 4239*u**2 + 11 - 1394*u**2 - 1419*u**2 - 11.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9761)\/(-559) - (-30)\/(-65)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f**2 + 12*f - 3. Suppose 4*v = -3*h - 43, -3*v + 24 = -h - 3*h. Let q be g(h). What is the greatest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/357927 and -74\/1563.\nAnswer: 357927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2218 and 18?\nAnswer: 19962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/(1 + (-2)\/4). What is the units digit of 14\/18 + c\/(-72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(320) + (2 + sqrt(320) - sqrt(320) - sqrt(320)) + -5 + -2 + 5*-6*(sqrt(320) - sqrt(320)*3))*-4)**2*5.\nAnswer: -384000*sqrt(5) + 92162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20698465 divided by 5.\nAnswer: -4139693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*o**3 + 56*o**2 - 42*o + 35515 with respect to o.\nAnswer: -15*o**2 + 112*o - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 + 65*s + 556. Determine k(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 27733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a - -a0?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - (-26)\/(-7) - -2. Let b = -284\/7 - -81\/2. Let a = b + -5\/28. Is w greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -20 - 12. Solve c + 0*c = p + 2, -3*c + a = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -15, -42, -81, -132?\n\"Answer: -6*r**2 - 9*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - 12, -1 - 11 = -2*s + 2*j. Solve -7*d + 2*d = c + s, -2*d = 5*c - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 1\/11, -440?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 - 15*d - 502. Determine b(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*o - 2*o - 18*o - 2.\nAnswer: -14*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -6626498.8 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + 25a?\nAnswer: 25c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n**3 + 45502265*n**2 + 159258035*n + 68253450 = 0. Calculate n.\nAnswer: -3, -1\/2, 4550230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 67550609 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/323 in -1\/3, -211, -1.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5, 5817\/5, -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.16 + 4.56. Let j = p + 12.6. Let x = j + -13. Put 2\/3, -0.1, x in decreasing order.\nAnswer: x, 2\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 PM and 2:32 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 412 - -324. Suppose d - g = -d. What is the greatest common divisor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4991 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 2*b**2. Suppose -24*l + 6490 = 6370. Let r(a) be the third derivative of 6*a**2 + 0*a**4 + 0*a**3 + 0*a + 1\/30*a**l + 0. Calculate r(m(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -5*a - 1867, 5*x + 45*a - 49*a = 4642. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g + 0 - 24 = 0. Solve -2 + 0 = 5*p + 2*c, 2 = g*p + 2*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2 + 6048*z - 344056.\nAnswer: -2*(z - 2966)*(z - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3009.91 and -101963483?\nAnswer: 101960473.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -7*t - 768. Let a be t\/320*(-10)\/12. What is the third biggest value in -0.4, a, 0.06?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 22  (b) 3  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*d**3*m - d**3 + 4475*d**2*m - 17*d**2 + 5728426*d + 2*m wrt d?\nAnswer: -12*d*m - 6*d + 8950*m - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, -2, 207, 2 in increasing order.\nAnswer: -2, 2, 16, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -198 - -198.01497. Round p to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 91 divide 84375\/(0 + 15) - -16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*h - 3 = -108. Does 10 divide 158\/4 - (h + (-99)\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 0, -214.484?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 9, g: 2, k: 6, n: 2}. What is prob of sequence kpk?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -180 - (54 + -214) - (-3 - -60)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -98, -192, -286, -380?\n\"Answer: -94*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 34024913 to the nearest integer?\nAnswer: 5833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -702, 22, 788, 1590, 2422, 3278, 4152?\n\"Answer: -f**3 + 27*f**2 + 650*f - 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -20*r**3 + 13528*r**2 - 138608*r + 53280 = 0.\nAnswer: 2\/5, 10, 666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q - 2. Let r be c(-6). Let i(n) = -1. Let k(j) = j**2 - 3*j + 9. Let m(u) = 6*i(u) + k(u). Calculate m(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 125\/2*48\/(24005\/(-4800) - -5). Round n to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -5*s - 55036, 5*s = -242*c + 244*c - 110067. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1937?\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -5*u - 109, 17*q - 3*u + 114 - 496 - 337 = 0 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*n + 879 + 269. Suppose -4*i + 94 = -4*r + 350, 3*r = -4*i + n. Let l = -62 + r. Let d(c) = -2*c**2 - c - 1. Calculate d(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 687 - 686.98869. Round y to four decimal places.\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(660\/(-15)))\/38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -479.56000098605 - -479.56. Round v to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from iijgiggg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 120, 106, 92?\n\"Answer: -14*j + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 - 8*o + 1)*(3489 - 3489 - 30*o).\nAnswer: 240*o**2 - 90*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/568 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6191 is divided by 1471.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q - 360 = -5*p, 0*q - 12*p + 300 = -q + 310 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (-1 - -30) + -1 + 1797 + -1798\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**4 + 4432*w**3 + 781528*w**2 - 247159344*w + 12439833156.\nAnswer: 4*(w - 87)**2*(w + 641)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15056 is divided by 518?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -4*u + u + 0*u + 5*u. Let s be g(6). Differentiate 0 - 2 + s*w - 16*w with respect to w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8801.\nAnswer: 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 - 4*b**2 + 2*b + 1. Let n be a(2). Let w be (-6)\/(-72)*-4*(-27)\/(-9). What is the biggest value in w, n, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 951 - 3078 = -222*m + 2757 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -370, -738, -1104, -1468?\nAnswer: -1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -9 + 13 + -16 + -3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/(5\/(-8)) + 73 + -38. Calculate the highest common divisor of o and 1161.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 469708250 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/116955 and -17\/9?\nAnswer: 116955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2 + 260560*v + 521112.\nAnswer: 2*(v + 2)*(v + 130278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4508)\/30429)\/(70\/(-9)).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-3)\/(2\/(-2)*-1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1131024 (base 5) to base 13\nAnswer: -95b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -158*p - 61*p + 429*p - 2*p**3 - 184*p.\nAnswer: -2*p**3 + 26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 686615 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -50, -264, -660, -1328, -2358, -3840, -5864, -8520?\n\"Answer: -15*j**3 - j**2 - 106*j + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = 3*p - 7*p. Let z = -22 - p. Solve -i - 7 = -0*m - 4*m, 5*m - z*i = -10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1435\/82*-2 + 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0, 1\/4, 1\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-5) + (-26)\/40. Let i be (2\/12*-3)\/((-3)\/204). Let f(d) = -6*d + 211. Let w be f(i). Sort 0.2, w, p in descending order.\nAnswer: w, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000021731523 rounded to 7 decimal places?\nAnswer: 0.0000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(44))*3.\nAnswer: -9 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1080 divided by 36\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18.2932494672 + 1.\nAnswer: 19.2932494672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1511 + 634 + 868 + 93*w to f*w + d and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5745 by 1915.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2615, -5222, -7829, -10436?\nAnswer: -13043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7857 + 7861. Let j = -17 + 1. Let u be 1\/2 + 12\/j. What is the nearest to d in -1\/3, u, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42) - sqrt(294)\/sqrt(112) - (sqrt(4200) - (sqrt(4200) - (1*sqrt(4200) - sqrt(4200)))))\/(-1*1*sqrt(6) - (-2*sqrt(24)\/sqrt(4) - sqrt(6))).\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 502 and 12550?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, o: 2}. Give prob of picking 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 12) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-1))\/((24185\/(-4146))\/((-21)\/(-27)))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - c - 24 = 0. Let u(w) = w**3 - w**2 + w - 2. Let v be u(2). Calculate the highest common divisor of c and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from lllllldlllddlll.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1 - 398\/(-10))*60\/18.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*f + 43 = -33*f - 678 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 22*b = -b + 525486. List the prime factors of b.\nAnswer: 3, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 0. Let z(j) = -2*j**3 + 40*j**2 - 36*j**2 + 5*j - 4 + j**3. Let c be z(g). Sort 3, 1, c in increasing order.\nAnswer: c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 - -31. Let q = 101 - 67. Suppose -5*s = -4*x - 244, -q - 26 = -s - 2*x. What is the remainder when s is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2099*w**3 - 4213*w**3 - 2 + 10*w**4 + 2090*w**3 + w to h*w**3 + r*w**4 + x + f*w**2 + b*w and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00006251407 to seven dps.\nAnswer: -0.0000625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 2*a = -4 + 8, -3*y - a - 2 = 0. Solve 4*n + 11 - 31 = y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 2*a - 20 = 0. Suppose 3*g + 7073 = -2*q - 811, -a*g = -3*q + 13159. Round g to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 19  (c) -2492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 162 = v - 4*v, -2*v = 367*l - 341*l + 788 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 9*k - 19. Let x be j(5). Suppose g - 3 = -0. Let u = g - -2. Put x, u, 0 in descending order.\nAnswer: u, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 0)*(g**2 - g + g) + 0 + 3*g**2 + 0 - 1.\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**2 - 4*l - 1. Suppose 0 = 69*o - 59*o + 30. Give k(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 71 - 67. Solve 4*a + k*t + 0 = -16, 0 = 5*a - 2*t + 27 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-seven fifths of a decade?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 27 - 23. Let u(z) be the first derivative of -1\/5*z**5 + 0*z**3 + 0*z - 2 + 0*z**t - z**2. Find the second derivative of u(h) wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 + 24*i**2 + 123*i - 183. Determine t(28).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, f: 2, g: 4}. Give prob of sequence gff.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -103 (base 9) to base 13\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 24, -0.1, -181, 0, -0.9 in descending order.\nAnswer: 24, 0, -0.1, -0.3, -0.9, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.2 + -7.2. Let i(h) = 3*h**3 + 92*h**2 + 68*h + 242. Let t be i(-30). Let p = 0 + 0. What is the nearest to p in -5, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 10 = 2*y - 1, -n = 5*y - 20. Suppose -45 = -n*p - 5*v, 0*p = p + 4*v - 24. Which is smaller: p or 20\/7?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 462547 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*c**4 + 39*c**3 + 123*c**2 + 3818*c + 9 wrt c.\nAnswer: 84*c**2 + 234*c + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/(-12)*(-6)\/(-30). Let u = -1 - -2. Which is the biggest value?  (a) h  (b) u  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 8 = 2*s, 2*q - 641*s + 646*s - 4 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + 1. What is the closest to 0.1 in -0.5, w, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20*(1\/3)\/((-24)\/(-1800)*20)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 22 + 23 - 64 = -4*z, 2*q = 4*z + 2 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*b - 246 - 138 = -54 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -4*q**3 + 5*q - 11. Let b(d) = 2*d**3 - 2*d + 5. Let f(w) = 5*b(w) + 2*s(w). Differentiate f(l) wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 513460 by 51346.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**4 - 116*a**3 - 1348*a**2 + 116928*a - 1016064.\nAnswer: -(a - 14)**2*(a + 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -300\/23 or -306?\nAnswer: -300\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2949534 divided by -9.\nAnswer: -327726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -9*z + 0 + 0 + 2 + 1. Let p(x) = -43*x + 7. Let k(w) = 65*w - 10. Let s(v) = -5*k(v) - 8*p(v). Let q(a) = -5*f(a) - 3*s(a). Differentiate q(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*w = 17 - 17 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*z**2 - 2*z**3 + 2*z**4 + 6*z**4 + z - 6*z**4 + 0*z as t*z**4 + k*z + q*z**2 + h + f*z**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 73 + -83. Suppose 0 = -4*c + 11 + 37. Does 7 divide 153\/c*(-6 - a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.08  (b) -2\/3  (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/17, 4, -30\/13, -0.3, -42?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 2685619\/3*u + 139*u**3 - 19321*u**2 - 1\/3*u**4 + 0 = 0.\nAnswer: 0, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9.23 times -7\nAnswer: 64.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/((a**(2\/23)*a)\/a))\/a)\/(((a**(-3\/8)*a)\/a)\/a*a*a)*(a*a**(3\/7))\/(a**7*a*a))**(-2\/37) assuming a is positive.\nAnswer: a**(10669\/23828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -5*y**2 + 7*y - 17. Let a(c) = -3*c**2 + 3*c - 9. Let m(o) = 7*a(o) - 4*b(o). Let h = -22 + 17. Is m(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 4*y = 156, -144*r - 201 = -148*r + 5*y. Sort 5, -5, r, 20 in increasing order.\nAnswer: -5, 5, 20, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 4:13 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-24) - 56\/(-210))*6\/1. Suppose u + 0*w = 2*w - 5, -2*w + 8 = 0. Which is the fourth smallest value?  (a) 0.5  (b) -5  (c) q  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 8 = 4*z, -2*z - 19 = 2*t + 3*z. Solve -5*p + 31 = -t*d - 9, d - 3*p = -20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 128733260?\nAnswer: 2, 5, 6436663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.8 + 4.3. What is the nearest to 0.2 in -0.4, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 + 17*a + 32. Let k be s(-14). Let m be (3 + 14\/(-2))\/(1\/k). What is the remainder when 21 is divided by 63\/5 - (144\/m + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.063 and -2079.2?\nAnswer: -130.9896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 342484.\nAnswer: 2, 85621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum -6.286 and -0.015.\nAnswer: -6.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 48\/5 + -437\/45. Which is the nearest to -2?  (a) -0.3  (b) -3  (c) f  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -242\/5 or 0.3?\nAnswer: -242\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6.6 - 6.4. Which is the closest to l?  (a) -2  (b) 0.1  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1413 (base 9) to base 12.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m + 228. Let v be i(15). Let t = v + -249. Let g(k) = -k**2 - 7*k - 7. Calculate g(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is d36 - -3?\nAnswer: d39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -612 + 621. Solve -4*v + 3*s = -18, 11*v - u*v - 5*s - 30 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 54\/14 - 2\/(-14). Solve 5*o - 5*q = -10, -d*q + 4 = -o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*4485\nAnswer: 448.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -58, -1.3, 0.2, -11, -19, -2\/9 in increasing order.\nAnswer: -58, -19, -11, -1.3, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 - -38. Solve -5*k = -u - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52703684.\nAnswer: 2, 11, 149, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*n**4 - 5*n**3 + 318*n**2 - 654414*n wrt n?\nAnswer: 120*n**2 - 30*n + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 PM and 3:22 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9512, -9511, -9510, -9509, -9508, -9507?\nAnswer: -9506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 - 32*r - 747. Let b be v(-16). Solve -b - 83 = 26*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4733263*q**6 + 3700597*q**2 wrt q?\nAnswer: 567991560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**2 - 3*l + 3. Let w be k(0). Suppose 393 = h - y, w*y = -7*h + 6*h + 397. List the prime factors of h.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 542 is divided by 487.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 4, h: 1, q: 1, y: 2}. What is prob of sequence kkk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -5*r**4\/4 + 2. Let b(v) = -2*v**3 + 3*v**3 + 25*v**2 - 25*v**2. Determine 22*b(q) + 4*m(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2. Suppose -7*j + 71 = -62. Let b(f) = -1030 + 1030 + j*f**2. What is q(b(s))?\nAnswer: 361*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 3*a = -53 + 246, 3*x + 2*a = 579. Let b(n) = 6*n + 3. What is the remainder when x is divided by b(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -3*k**4\/5 - 9*k**3 - 114*k**2\/5 + 468*k\/5 + 216 = 0.\nAnswer: -10, -6, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 300345666 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 45 * 0.95023.\nAnswer: 42.76035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.063 + 62.937. Let l = p + -8. Let a = -56 + l. Do -0.31 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 - 33*q - 230. What are the prime factors of i(-20)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -7 - 19 + 9*a - 4*a + a**2 + 6*a. Let j be f(-13). Suppose 3*r - 522 + 108 = j. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -120 divided by -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 5:41 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1648 - -411a?\nAnswer: 2582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.034 and 18891.\nAnswer: 18890.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1405*b + 1526*b + 726 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 323865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 864 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 - 12*c - 1972. Give y(-34).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -11  (b) 187  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -8*y**4\/3 - 14750*y**3\/3 + 529808*y**2\/3 - 131530*y\/3 = 0.\nAnswer: -1879, 0, 1\/4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -300 + 350. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2134 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ketettet. Give prob of sequence et.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 5 = -5*n, -79 - 10 = -3*l - 46*n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, 3168, 46, 3, 0 in increasing order.\nAnswer: -3, -2, 0, 3, 46, 3168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/3?  (a) 38  (b) -2  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 45393.981 rounded to the nearest 100?\nAnswer: 45400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by 28.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 294*w + 764 = 93*v - 89*v, -3*v + 7*v + 4*w - 168 = 0 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m**2 - 504800*m + 504800*m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 2*r - r - 83, 2*r = -10. Suppose -4*i + 5*n = -0*n + t, -3*i + 4*n - 34 = 0. Does 28 divide (-7882)\/(-56) - i\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 584135, 584138, 584143, 584150, 584159?\nAnswer: 584170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 7 + 1 = 0. Let b = 3 - v. Suppose b = -6*u + 2*u - 20. Which is smaller: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2 - x - 1. Let k be u(-1). Suppose 3*n - 5*i = -k, -3*i - 2*i = -4*n + 2. Suppose -4*f - f = 0. Sort n, f, -5 in descending order.\nAnswer: n, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 divided by 163\nAnswer: 19\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 25*p + 31 - 2 - p**2 - 3. Is 24 a factor of n(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 8, c: 4, p: 5}. Give prob of picking 2 c.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 43 = 5*o + 13, t - 3*o + 4 = 0. Suppose -17 = 10*b - 27*b. What is the least common multiple of t and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -82\/63 and (1404\/(-130))\/((-84)\/(-45)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1269 + -3052.8731. Let p = z + 3052.99998747. Round p to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -12 and 0.122.\nAnswer: -11.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**4 + 10732*y**3 + 14588210*y**2 + 511360200*y.\nAnswer: 2*y*(y + 36)*(y + 2665)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11364 is divided by 218?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/19 in 0, -10, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -354\/7 + 50. Which is the third biggest value?  (a) 8  (b) 0.3  (c) k  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 13\/2 - (-2)\/4. Let z = 37 + -25. Let w be 3\/z - (-834)\/24. What is the highest common factor of w and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (21100\/15192)\/((-2)\/(-12)) and 50\/54 + (-1)\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -4*i + 37 - 3, 3 = -3*i. Let t = 18 - a. Let s be (-2)\/(1 - (-4)\/(-8)). Sort 2, s, t in increasing order.\nAnswer: s, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*f = -14*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 - z + 1. Let y(g) = 3*g**3 + 4*g**2 + 5*g - 2. What is 4*n(s) + y(s)?\nAnswer: 3*s**3 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -121 + 335*v**2 + 37 + 51 + 33. Let i(s) = 3*s**2. What is w(i(p))?\nAnswer: 3015*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j + 6850 = 20305. Does 39 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**2 - 9*a + 3. Let w be f(9). Calculate the common denominator of 13\/12 and w - (-2 - 74\/(-20)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44\/77*(-42)\/(-60).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 36722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -224767523*n**2. Let z(p) = 4*p. Give k(z(a)).\nAnswer: -3596280368*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 109.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000013254289 rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 322059980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s. Let t(f) = -154949*f**2 - f. Give t(w(c)).\nAnswer: -154949*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -1 + d + 1. Let x(f) be the first derivative of 181 - 5*f**2 - 7*f**2 - 2*f**2 + 12*f**2 - 3*f**2. Determine 5*q(z) + x(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-1\/4)*(f\/(f*f\/((f\/f**33)\/f*f))*f*f)\/f*f assuming f is positive.\nAnswer: f**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1.195*-1\nAnswer: 1.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-348)\/145)\/(4\/(-10)). Let t(k) be the third derivative of -2*k**2 + 0 + 0*k - 1\/6*k**4 - 1\/15*k**5 + 0*k**3 - 1\/120*k**z. Determine t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1201513 - 14?\nAnswer: -1201531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36 and 4554?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(4*sqrt(1872)*-6 + 1 + -5 + sqrt(1872) + sqrt(1872) + -1 + -2 + sqrt(1872))**2.\nAnswer: 7056*sqrt(13) + 1651202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 18 = -11. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -310003, -309994, -309985, -309976, -309967?\nAnswer: -309958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1846856*-0.09.\nAnswer: -166217.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*x**2 + x**2 + 2*x**2)*(836*x + 1 - 836*x + 8*x**2) in the form n*x**3 + b + g*x**4 + c*x**2 + y*x and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*z + 0*z - 676 + 2036 - 675 - 685.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 798 + 209 = -2*w, 0 = 3*w - 4*p - 872. Let k = 379 - w. Round k to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31970, 63942, 95914, 127886, 159858?\nAnswer: 191830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 + 15*n + 4. Let i be a(-15). Let g(l) = i*l + 11*l - 1 - 14*l. Determine g(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 15, -23, -65, -117, -185, -275, -393, -545?\n\"Answer: -y**3 + 4*y**2 - 43*y + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -255102 divided by -2.\nAnswer: 127551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 12*a - 585 = 0. Suppose a = 26*y - 13. Solve 3*q = -j - q - 20, -y = j + q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100000 divided by 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, 0.172, -1\/223, 0, -0.7, 3?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/20280 and -11\/3120.\nAnswer: 40560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 - 3*m - 3. Calculate i(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91*d**2 - 25*d**2 - d + d - 26*d**2 - 69*d**2.\nAnswer: -29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l - 8\/11 - 14\/11*l**2.\nAnswer: -2*(l + 1)*(7*l + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*g = -3*g + 4*b + 20, 2*g - 20 = 4*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*o + 6*o = 149*o + 73*o - 930 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-8) + 37000015\/(-20). Let k be y*(2 + 0)*-2. What is k rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19177 and 18288?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -3 + 1 + 4 + 2*l + 0. Suppose 0*m - m = -3. Suppose -17 = w - m*x, 5*x = -2*w + 6 + 4. Let f(g) = -3*g - 3. Calculate w*n(p) - 3*f(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 571 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 798*r + 19 = 796*r - 7 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-65382)\/(-36) - (-18)\/(-108). Calculate the greatest common factor of 72 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -127, 459, 937, 1253, 1353, 1183?\n\"Answer: -9*d**3 + 649*d - 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(432)*2)**2 + 2*(-1*sqrt(432) - sqrt(432)).\nAnswer: -48*sqrt(3) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is e10 + 3?\nAnswer: e13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 4586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 5*k + 18. Suppose -k = 5*g - 41. Suppose -p + 22 + g = 0. What is the greatest common factor of 116 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o + 5. Let v be z(3). Let g(m) = -14*m**3. What is the smallest common multiple of 1 and g(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 774722068 to the power of 1\/3, to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -37.9 - -32.9. Are 1\/3 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(40)\/(sqrt(8)*1) + -2 + sqrt(20) - ((sqrt(270)*-2)\/sqrt(6))**2).\nAnswer: -185 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (a + a**2 - a)*(662 + 33 - 81) as f*a**2 + r*a + b and give f.\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 6:46 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6404249 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 1626167*i**4 - 6 - 3*i + 14*i**3 - 1626165*i**4 - 7*i in the form h*i**4 + c*i**2 + u*i**3 + w*i + l and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 180\/26*17134\/(-3954).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 75380 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/126 and -139\/70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1036339494.6 take away 14512?\nAnswer: 1036324982.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, -252, -1, 5, 1, -4.\nAnswer: -252, -25, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 18 = -3*f, -3*c + 4*f = c + 16. Is 0 + -1 - (-35 - c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x - 4. Let w be s(7). Suppose -228 = -3*h + 2*d + 399, 0 = 4*h - w*d - 835. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 878.2195km in nanometers?\nAnswer: 878219500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gsr. Give prob of picking 1 r and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of k**2\/2 + 16*k + 13. What is the least common multiple of 18 and y(-8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 + a**2 - a - 1. Let i be c(-1). Let z = 21 + -6. Solve 3*s = z - i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36 - 34. Calculate the highest common factor of 50 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12322 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c - 6. Let j be q(5). Let h = j + 4. Factor -1\/4*n + 1\/4*n**h - 1\/4*n**2 + 1\/4.\nAnswer: (n - 1)**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.3 + -0.7. Let h be ((-61)\/44)\/((-3)\/(-4)). Let t = h + 24\/11. Which is the second biggest value?  (a) 0.1  (b) t  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9836.884ml in litres?\nAnswer: 9.836884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 30, 26, 14, -12, -58, -130, -234, -376?\n\"Answer: -b**3 + 2*b**2 - 3*b + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 3100240 to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.58 - 0.576. Let f = -0.062 + w. Let z = 0.142 - f. What is the nearest to 0 in -0.4, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 - 15*j**2 + 21*j + 86. Calculate the least common multiple of 408 and v(-16).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = d + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 14) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 AM and 11:36 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*c + 22*c - 116730 = -28*c. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -71 times 507\nAnswer: -35997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 6 - 2*g + 2 - 8*g + 8*g. Give q(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 977987.9 nanometers to micrometers.\nAnswer: 977.9879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 8*w**2 - 7*w - 7. Let p(l) be the third derivative of l**5\/60 - l**4\/24 - l**3\/6 + 48*l**2. Calculate -21*p(y) + 3*r(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2127007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -v, -4*v = -o - 6*v - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 55 = 3. Let g = -46 + h. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8 + 7)*2*1*29. Let j = g + 62. Suppose -s + 2*b + 26 = 3*b, -j*s = 3*b - 108. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1793101 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 16 = 0, -2*o + 2*h - 22 = -0*o. What is the units digit of (o\/(-5))\/(6\/44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 - 8. Let q(x) = 6*x**2 - x**3 + 949*x + 9 - 953*x - 3. Let g be q(s). Is g at least -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10083548, -20167100, -30250652, -40334204, -50417756?\nAnswer: -60501308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -196*x - 1. Let f(n) = 198*n + 1. Calculate 2*f(a) + 3*y(a).\nAnswer: -192*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 744710*j**3*v - j**3 - 2*j**2*v - 7*j**2 + 58200656*j - 5*v wrt j?\nAnswer: 4468260*j*v - 6*j - 4*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15 - 11. Let h = r + 20. Let g = 24.000055 - h. What is g rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -19*r**3 - 14920*r**2 + 489*r - 2008.\nAnswer: -114*r - 29840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 47*g**5 - 622 + 622 + (8*g**4 + 3*g**4 - 3*g**4)*(0*g + 5*g - 2*g).\nAnswer: 71*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 5:05 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + 6*j**2 - j - 4. Let m be t(-6). What is the second derivative of 23*s**2 - m*s + s**5 - 4*s**5 - 23*s**2 wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -4*w + 5. Calculate z(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3426 + -3425. What is the closest to c in 2\/33, -1, -4, -0.5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - 18. Let d = -6 - p. Let s = 7.5 - d. Which is the third smallest value?  (a) -4  (b) s  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3011221 (base 4) to base 13\nAnswer: 59b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -6084*d - 14229. What is s(-2)?\nAnswer: -2061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 393\/20 + -85\/4. Suppose -2*h - 5*r = -9, 3*h + 2*h + 2*r = 12. Let o be 2 + (-13)\/h - -4. Which is the biggest value?  (a) 1\/2  (b) o  (c) 1  (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 406345 is divided by 226.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/3, 43, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*z + 3*s - 39, 62*s - 27 = 2*z + 59*s for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 PM and 6:11 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -3*p + 6. Let k(t) = -1. Let n(j) = -5*k(j) - r(j). Let q be n(-1). Let d = -1.127 - -3.127. Which is the biggest value?  (a) -5  (b) q  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m**2 + 126*m - 830. Give d(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 9904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 293940*n**2 + 4*n. Let w be g(-3). Let v = w + -650781265\/246. Let k = 3\/82 - v. What is the common denominator of k and -39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 12*m**3 + 69*m**2 + m - 15. Let z(y) = 22*y**3 + 136*y**2 + 2*y - 30. Calculate -9*c(q) + 5*z(q).\nAnswer: 2*q**3 + 59*q**2 + q - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -170 + 330. Let s = 170 - t. What is the remainder when 119 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -755 + 188 + 447 - (20 + -1)?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 98625737 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8646 is divided by 8642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -192, -385, -578, -771?\n\"Answer: -193*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 391.8 rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 + 6*o + 2. Let h be t(-5). Let g be 6\/h - (-4)\/1. Solve 2*p + g*p = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(35\/8)*(-56)\/(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 9*((-6)\/(8 - 2))\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 92*x - 66. Let m be n(1). Solve -m*p = -11*p - 30 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19232136 to the nearest ten thousand.\nAnswer: 19230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ahamqqaqqhz. Give prob of picking 1 m and 2 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w - 2*w - 2*w + (-5 + 1 + 2)*(51*w + 34 - 34)*(-5 + 1 + 2).\nAnswer: 203*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2822009 is divided by 4891?\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*y + 13 = -5*z - 9*y, y = -1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/120)\/(5\/(-45))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 4*n**5 + 152*n**4 + 340*n**3 - 25152*n**2 - 25344*n = 0.\nAnswer: -24, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 12) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**2 - l + l + 7*l**2 + (1 + 1 - 3)*(-3*l**2 - 2*l**2 - l**2) + 10*l - 5*l**2 - 10*l.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 33 - 8. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 665696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -68 + 107. Let g = -6 + n. Suppose -4*u - g = -5*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 117\/1670 and -36\/835.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 346 + -239. Let a be t\/((9\/(-15))\/(-3)). Suppose 3*b = 98 + a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -2*m**3 + 12*m**2 + 17*m - 23. Let h be x(7). Sort -0.4, h, -0.5, 2\/9, 0.593 in descending order.\nAnswer: 0.593, 2\/9, -0.4, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30 - 25. Suppose 3*d + 2 = -p, 23 = p - 2*d + u. Calculate the remainder when 19 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) -2\/13  (c) 10.13  (d) -8\/175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1100166.\nAnswer: 2, 3, 183361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(117) + 5)*6 - (sqrt(1573)*-4 + 0 + sqrt(13)*3).\nAnswer: 42 + 59*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/7 + (-2978)\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -166 = 6*w + 2*z, 7*w + 2*z + 88 = 4*w. Let l = -5 - -4.9. Which is the biggest value?  (a) w  (b) l  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of 313*b**5\/5 + 912*b + 555. Find the first derivative of v(k) wrt k.\nAnswer: 1252*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 849 - 689. What is the closest to -1 in g, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/(-12) - 9 - -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/1341010 and 103\/90.\nAnswer: 12069090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 12521.\nAnswer: -4\/12521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (4 + (sqrt(5) + 1)*1 - -5*(sqrt(60)\/sqrt(3) - sqrt(20))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 2*f - 5 - 45, 5*g = 3*f + 101. Suppose 9*t + g = 67. Let u(c) = -4*c**3 + t*c**3 + 70*c**2 - 6 - 76*c**2 + 8*c. Give u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -2*p + 958, 2*p = 7*p - 4*i - 2372. Is p a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 348 and 45337092.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 5*f**2 + 4*f. Let j be (-4)\/(-3) + (-4)\/(-6). Let i(y) = 11*y**2 - y + 10*y + 0*y**j. Let n = 22815 + -22819. Determine n*i(o) + 9*u(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mo when two letters picked without replacement from omo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of -o**4\/8 + 3*o**3\/2 - o**2. Let w(c) = -5*c + 23. Let q(x) = -x + 6. Let t(v) = -3*q(v) + w(v). Determine 3*j(h) - 5*t(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.88 + 0.12. Let k = -24\/7 + 199\/56. Which is the closest to -1?  (a) k  (b) n  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8616 (base 11) to base 9\nAnswer: 16556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 391*(1 - 1 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 265026209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 19231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -2 + 9*b + 7*b**2 + 1 + 25*b**3 - 4. Let s(w) = -w**2 - 24*w - 87. Let q be s(-20). Let m be g(q). Round m to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 581755.4 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) -0.047  (c) -1\/7  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of 3*x**4\/4 - x**3\/6 + 794*x**2 + 2029*x. Differentiate g(o) with respect to o.\nAnswer: 18*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1726 at least as big as 1.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22 and 51480?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -193, 0.1, -0.1, 0.4, 14\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 190488709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2*15\/(-10)*(-23)\/(-1173)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 59.03883 millennia in years?\nAnswer: 59038.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -1  (b) -8  (c) -3.94  (d) -325  (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -4*y + 37. What is i(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 250877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 194.53*-0.05\nAnswer: -9.7265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -131*c*o**3 + 2*c*o**2 - 4*c*o + 5*o**2 wrt o?\nAnswer: -786*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8368, 8404, 8470, 8584, 8764, 9028, 9394, 9880?\nAnswer: 10504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(32))**2 + -5*((sqrt(2) - (sqrt(2) - (sqrt(2)*3 + sqrt(2)) - sqrt(2))) + sqrt(2)))*5.\nAnswer: -150*sqrt(2) + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 31125771401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -151039795, -151039794, -151039793, -151039792?\n\"Answer: j - 151039796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -75 + 78. Suppose 4*v = -3*m + 906, -a*v - m = -5*v + 458. List the prime factors of v.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12, -19, -30, -45, -64?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*(0 - 3 - 0). Let z be (2 + -3 + 2)*0. Suppose z*y**2 - 3\/5*y - 2\/5 + 1\/5*y**h = 0. Calculate y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*l - 9*l + 15. Let h(u) = 9*u - u - 8 - 4*u - l*u. Give h(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -8*y**2 - 3265*y**3 + 3*y + 2*y + 3266*y**3. What is o(6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -4*c + 19, 0 = c + 2 - 0. Is o at least -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 2517 + 8217 = 0. Let i = -740 + g. Round i to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 4 = 2*t, -16 = 6*r - r - 2*t. Calculate the common denominator of 2\/4 + r + 5 and -37\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7371.0999 nanoseconds to days.\nAnswer: 0.00000000008531365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of -z**4\/3 + 19*z**2. Determine x(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221863431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31183 is divided by 226.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 8*c**2 + 5*c - 3. Let r be m(-7). Suppose 9 + 57 = r*y. Solve 1 = -u - 3, -v + y = -u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 + 2*r + 3. Let p be (0 - 10\/2) + -1. Let q(z) = z**2 + 5*z. What is the least common multiple of w(-5) and q(p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 49 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 9.806743 millennia?\nAnswer: 117680.916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:35 PM and 2:56 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 137660314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 - 91*h + 2117. Let s be l(-110). Solve 0 = -5*q + 3*d - 8, 2*q + s*d = 25*d - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34 and 204765?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6414*m + 6400*m + 4466 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i**3 + 5*i**2 - 16*i - 44. Calculate l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in 0.063, 6, 116, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2664  (b) 0  (c) 9  (d) -0.5  (e) -3\/2  (f) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**1)**(-33)*x\/x**(3\/7)*x\/(((x*x*x\/x**2)\/x)\/x)*(x*x**(-2)*x)**34\/((x\/((x*x**3)\/x))\/(x*x**(-2)*x)) assuming x is positive.\nAnswer: x**(-199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 1055*w + 3159. Calculate g(-7).\nAnswer: -4226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -96*a + 22*a + 39 + 33*a + 37 + 25*a. Determine g(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 373*v**4 - 168*v**2 - 5*v - 4. Let a(b) = 373*b**4 - 169*b**2 - 4*b - 3. Let d(p) = -4*a(p) + 3*n(p). What is the third derivative of d(w) wrt w?\nAnswer: -8952*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of -u**4\/12 + 5*u**3\/6 - u**2 - 2*u. Let v be j(2). Suppose 4*l - 12 - 4 = 0. Do v and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 10 = 4*t. Calculate the remainder when 36 is divided by (52\/t)\/((-6)\/15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 AM and 3:57 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 454895258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5572987?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/57859 at least as big as 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -194 - -199. Find the third derivative of -59*j**2 + 26*j**5 + 45*j**2 + 46*j**n wrt j.\nAnswer: 4320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rhrg when four letters picked without replacement from grhghhrggg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -3*n - 2*y - 8, -3*y = 3*n + 6. Let t be -3 + 24 + (-4 - n). What is the lowest common multiple of ((-6)\/(-4))\/(15\/t) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, p: 6, j: 3, t: 2}. Give prob of sequence jj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1391 - -1395. Which is the fourth biggest value?  (a) 104  (b) k  (c) -4  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(170)\/(2*sqrt(1210)).\nAnswer: sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*14\/(-21)*15\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 5*g**3 - 6*g**2 + 2*g - 6. Let s(r) = -4*r**3 + 5*r**2 - 2*r + 5. Let h(k) = 5*j(k) + 6*s(k). Let b be h(2). Solve 4*y + 14 - 6 = -b*o, 0 = o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -997*b = 1258*b - 793*b - 64214 + 1348 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 886?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 8, 7, 4, -1, -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3\/5  (b) -30  (c) 0.1  (d) 119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -4 - (954\/(-30) + 12\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10846, -11103, -11360?\nAnswer: -11617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2782671 is divided by 1099.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nciiciilunutnuc. Give prob of picking 2 c and 1 l.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 10904\/470*4\/88 - 1\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 50484229 to the nearest ten thousand.\nAnswer: 50480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(1\/36)*o**(-2\/3)*o**(-1\/16)\/(o\/((o**17\/o)\/o)))**(-31) assuming o is positive.\nAnswer: o**(-63829\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -104, -213, -320, -425?\n\"Answer: c**2 - 112*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/9, -6, 0.5, 0.23?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12144993 is divided by 6072431.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - 12) + 2 + -1. Let i = -399 - -386. Which is smaller: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 60 = t, -4*i - 4*t + 1345 = 1465 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -46, -49, -56, -67, -82, -101?\n\"Answer: -2*j**2 + 3*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000047840022 to 7 dps.\nAnswer: 0.0000478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange g**3 - 2*g**2 + 26*g - 10*g**4 + 91810 + 13*g - 91809 to the form b*g**4 + k*g**3 + z*g + u + w*g**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 96997657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -31 by -200.\nAnswer: 31\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 230752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 207496*o**3*v**2 + 199*o**3 + 2*o**2*v + o**2 + 3*o*v + 9*o + 134*v**5 - 2*v wrt v.\nAnswer: 414992*o**3 + 2680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*t - 22012 + 0*t + 22012.\nAnswer: 57*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4349*q = -4378*q - 174 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.5?  (a) -0.126  (b) 0.1  (c) -9  (d) 0.8  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 199799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - 22. List the prime factors of (-2)\/(-4) - 39\/s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1870 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + 0 + sqrt(147))**2 + sqrt(147) - ((sqrt(147) + 2)*2)**2) + 2 + 0 + sqrt(300) + 5.\nAnswer: -449 - 109*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/(-11)*2*(-24)\/(-32)*-1*7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -0.1  (b) 13.79  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 m, and 1 p when three letters picked without replacement from {j: 5, e: 1, m: 6, l: 3, z: 3, p: 1}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -43382196 divided by 4134\nAnswer: -10494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -33*c**3 - 630*c**2 + 45*c - 6. Calculate n(-19).\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -656 and -104365?\nAnswer: 103709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 9, f: 3, l: 2, k: 2}. Give prob of picking 1 l and 1 c.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, b: 3, i: 6, q: 5, z: 5}. Give prob of sequence zqzk.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0041806 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 828*o**3*t + 23*o**3 + 12*o**2*t - 2784*t wrt o?\nAnswer: 4968*t + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2 from 454.6.\nAnswer: 452.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2386567031\/4641120 - 1\/515680. Let w = c + 516. Suppose 2\/9*i**4 + 8\/9*i - 10\/9*i**3 - w + 4\/3*i**2 = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a**3 - 3*a**2 + 2*a + 1. Let r be f(2). Suppose 6*u + 30 = u. Let j be r\/u - (-2)\/(-4). Sort -5, j, 1 in increasing order.\nAnswer: -5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, b: 7}. What is prob of picking 2 y and 2 b?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 39 + 11. Suppose 2*m = -z*m - 48. Let q be 4 - m - (0 - 6\/(-2)). Solve -j = 5*p + 8, 3*j + j = -q*p - 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(2\/(-9))\/(7\/(-63)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 2*f + 5. Let a be q(-4). Let v = 2 - a. Solve -2*b + m = 3*b - 6, -10 = -5*b + v*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4 and 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 5) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*q + 20 = 80*q. List the prime factors of 394 - (25\/10 - q\/(-4)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -75, -291, -651, -1155, -1803, -2595, -3531?\nAnswer: -4611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*o**3*w**4 - o**3*w**3 - o**3 + 2*o*w**4 - 61*w**2 wrt w.\nAnswer: 96*o**3*w - 6*o**3 + 48*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that j**5\/5 - 337*j**4\/5 + 29531*j**3\/5 - 189227*j**2\/5 - 23628*j + 152460 = 0.\nAnswer: -2, 2, 7, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21053 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -171453 < -171452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -33937 divided by 33937?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q**3 + 14465*q**2 = 0. Calculate q.\nAnswer: 0, 2893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8 + (10 - 19))\/(1\/(-9)). Calculate the greatest common divisor of 1521 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7620 and 5820?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/3  (b) -3  (c) 2  (d) 1379  (e) 0.1  (f) -0.8  (g) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 373663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2011*z**3 + 1374*z**2 - 3233031*z wrt z.\nAnswer: 12066*z + 2748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(19*2\/(-40) + 1). Let d be (-6)\/(-15)*(s + 0\/1). Let a(t) = -t**3 - 17*t**2 - 19*t + 9. List the prime factors of a(d).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -111*y**2 - 3 + 109*y**2 - 55*y + 3 as r*y**2 + w*y + k and give w.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from psjjrjjjsjspjp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 96 and -0.4.\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 85*n - 142*n + 2280. What is the remainder when 3917 is divided by n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, 0.11, -1, -197, 4 in decreasing order.\nAnswer: 4, 2, 1, 0.11, -1, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 5064.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (77\/(-18) + (-48)\/216)\/(0 - -6). What is the smallest value in b, 1\/2, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 763 divide 2923053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 3 = -k, -2*k + 627 - 634 = 7*k + n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + 5183?\nAnswer: 5183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 181242199 to the power of 1\/2, to the nearest integer?\nAnswer: 13463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 336359 to the power of 1\/2, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11*j**2*u**2 + 3*j**2 - j*u + 9*j - 3*u**2 with respect to u.\nAnswer: 22*j**2*u - j - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 + 8*q**2 + q - 64. Determine m(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xjbu when four letters picked without replacement from xujxxubjpj.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 10*n + 15*n + n**3 - 3 + 2 - 24*n + n**2. Let b(v) = -5*v**3 - 3*v**2 - 5*v. What is -b(u) - 3*k(u)?\nAnswer: 2*u**3 + 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 220650, 441547, 662444, 883341?\n\"Answer: 220897*c - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/70 and 57\/57485638.\nAnswer: 287428190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16\/5*n - 4*n**2 + 0 - 4\/5*n**3.\nAnswer: -4*n*(n + 1)*(n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.5802 and -2.5.\nAnswer: -3.9505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1884*-689.2\nAnswer: 1298452.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 - 15\/7)\/1. Let f be -3*(-1 + 5\/3). Let h = 17 - 21. What is the second smallest value in f, h, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (48\/624)\/(2*1\/(-8)*-2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 746\/(-348) + (-201266)\/(-92892)\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1372250)\/62675 + 22 + 2\/8 + (-1147)\/3404?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -375\/2*p**2 - 11 - 65\/3*p**3 - 975*p. Let s(b) = 8*b**2 + 47*b + 122. Let z(n) = -25*s(n) - 3*x(n). What is r in z(r) = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1300 by 27.\nAnswer: -1300\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79227.\nAnswer: 3, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 168089930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = -2*w + 19 - 9, -3*q - 8*w = 36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-4))\/(29\/(928\/(-96)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.5 * -29.\nAnswer: -72.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p - 16. Let n be o(-11). Let s be (n\/(-9))\/((-2)\/48). Let a(x) = -39*x + 21*x + s*x - 2. Let r(v) = v + 2. What is -2*a(c) - 3*r(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -65 + 717\/11. Factor -2\/11*v**3 + 2\/11*v**2 - 2\/11 + z*v.\nAnswer: -2*(v - 1)**2*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11267.82 + 11268. Is k at most 261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3*q = 4, 2*h - 20 = -3*h - 5*q. Let g be -1 + 2\/4*h. Put g, 4, 2 in descending order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*s**3 - 2 - 2 - 6*s**3 + 28*s**2 + 2 in the form v*s + l*s**3 + m*s**2 + b and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 9:39 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2 + -0.3. Let d = k + 1.9. Let n = d - 1.8. What is n rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:59 AM and 7:14 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-84))\/(16\/(-84))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30477 (base 8) to base 9.\nAnswer: -18257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44 is divided by (-9 - -2)*(-2)\/(-4)*-10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 203130?\nAnswer: -203130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -6. Suppose -z*h - 2*q - 40 = -7*h, -5*q = 3*h + 7. Suppose -4*t + 1 = -h*i + i, 0 = 2*t - 8. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 321, 325, 331, 339, 349?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 255083620 to the nearest 100000.\nAnswer: 255100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 2 + 9 - (0 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -20 + 46 - 26 - 2*q. Let g(j) = -15*j**2. Calculate s(g(l)).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(16\/22)*-206*3. Let z = -2372 - a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -0.1  (b) 35\/3  (c) -0.2  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-855)\/30*2\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-57 - -17 - 93) + 55.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.06 take away -11916.9494?\nAnswer: 11911.8894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of -g**5\/30 + 89*g**4\/6 - 7921*g**3\/3 + 112*g**2 - 64*g - 1. Let z(r) be the first derivative of i(r). Factor z(q).\nAnswer: -2*(q - 89)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68007361 is divided by 2731?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 5) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1385273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 12, j - 5*j + 5*g + 32 = 0. Let t(f) = 6*f + f**3 - f**2 - j*f**2 + 3*f**2 - 4*f**2 - 1. Calculate t(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8774 - -12930. What are the prime factors of b?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 78681, 74116, 69551?\nAnswer: 64986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the second derivative of 19*b - 1\/42*b**7 + 0 - 1\/6*b**4 + 1\/30*b**6 + 1\/10*b**5 + 1\/2*b**2 - 1\/6*b**3. Solve h(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-7))\/(j*j*j*j*j*j**(-15)))\/(j\/(j**34\/j))**(-14) assuming j is positive.\nAnswer: j**(-430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 + z. Let d(i) = -7*i**2 + 6*i + 4. Give d(p) - 5*o(p).\nAnswer: -2*p**2 + p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -387 - -401. Let c be 142\/r + (-12)\/84. Solve 0 = -2*t - c, 2*f + t = 4*t + 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 4143*w - 62 = 4147*w, -6*j - 3*w - 36 = 0. Factor 0*p**j + 3\/4*p**4 + 0*p - 3\/2*p**3 + 0.\nAnswer: 3*p**3*(p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 23 - (-64 - -54 - (-18 - -1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-61)\/((-7*(-5)\/10)\/((-35)\/(-10))))\/1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffqdqdfqffhw. What is prob of picking 2 q and 1 w?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + -21615?\nAnswer: -21612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 60 - 63. Suppose -l + 2 = -0. Calculate the common denominator of ((-426)\/(-16))\/(f\/l) and -67\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -22, 0.19, 4, -3 in ascending order.\nAnswer: -22, -3, -0.1, 0.19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 44\/3 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 12) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 20831, 41593, 62377, 83195, 104059, 124981, 145973, 167047?\n\"Answer: 2*z**3 - z**2 + 20751*z + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 250 - 202. What is the lowest common multiple of o and 27?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**5 + 2*p**3 - p**2 - 2. Let m(u) = 45*u**5 - 6*u**3 + u**2 + 927*u + 6. Let n(z) = 3*l(z) + m(z). Find the second derivative of n(f) wrt f.\nAnswer: 840*f**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9778, -9814, -9850?\nAnswer: -9886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -35*g**3 + 13*g**2 + 15*g. Let f(o) = -32*o**3 + 11*o**2 + 12*o - 1. What is -5*f(m) + 4*k(m)?\nAnswer: 20*m**3 - 3*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*k - 230 - 46. What is the third derivative of k*t**2 + 43*t**3 + 9*t**3 - 6*t**3 - 22*t**2 wrt t?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 65, -1, 10, 4962 in increasing order.\nAnswer: -5, -1, 4, 10, 65, 4962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 AM and 6:05 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 45, 1, -1528, -6, -5 in increasing order.\nAnswer: -1528, -6, -5, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of ((44\/(-2))\/2)\/(1\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -46*y**3 + 17*y**2 + 11*y - 5. What is the remainder when 1235 is divided by t(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 2, -8 in descending order.\nAnswer: 2, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 52, -3, -2, -153, -8 in increasing order.\nAnswer: -153, -8, -3, -2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -128046 by 353.\nAnswer: -128046\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26677 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 64\/11 + -6. What is the second biggest value in q, 0.067, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + b - 8. Let z(u) = -u**3 - 6*u**2 - u - 6. Let t be z(-6). Suppose t = 9*a + 5*a - 1218. Calculate the remainder when a is divided by w(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 5*z + 25 = 0, -2*y = z + 19586 - 19593 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b - 19*b + 728 = 0. Solve 40 - b = -12*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3014 + 2653 + 1089 = 12*z. What are the prime factors of z?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1058661824?\nAnswer: 2, 11, 1503781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -25?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + 163102976.\nAnswer: 163102976.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 216900 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (51 - 28) - (13 + 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 8. Suppose 0 = 9*f - 13*f - 2*s + 6, -5*f + 5 = 5*s. Suppose -2*j**c + j + 3*j - 4*j + 2*j**f = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25\/2 in -1\/9, 23, 27.96, -4\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-33)*8*(-24)\/(-128)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 526480 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11778 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 PM and 1:58 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -16*r**3 + 16*r**2 + 3*r + 3. Let z(b) = 31*b**3 - 32*b**2 - 5*b - 5. Let a(y) = -5*h(y) - 3*z(y). What is the third derivative of a(g) wrt g?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 - (21 + -9) - (-7 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -85\/14 + 15\/2. Let n be ((-132)\/(-56))\/11*(15 + -15 + 4). Factor 2\/7*l + 0 + n*l**4 - m*l**3 + 2\/7*l**2.\nAnswer: 2*l*(l - 1)**2*(3*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 28 = 8. Let d = -33 - k. Let z be (1\/(-3))\/(2\/(-24)). Solve -12 = -z*c + r, -c + r - d + 9 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35845 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -23 - (-27 + 21) - -20\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2019 and 67253.294382.\nAnswer: 65234.294382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 26547*v + 1247702. What is c(-47)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16569878639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -111+-1933.76896\nAnswer: -2044.76896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 532*b + 580*b + 16 - 279 - 116*b. Is a(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/2*(-5)\/75*2. Let f be (1 + 0)\/((-2)\/4). Let j be ((-3)\/3)\/(f\/2). Does z = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-62)\/(-186))\/(6\/(-8)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 123\/1*(-3 - -4). Let y be b*(-1 + (-2)\/(-3)). Let z = -24 - y. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*v + 2*p = 19*v - 34, 351 = -4*v - 33*p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**4\/f)\/f)**(14\/5)\/(f**(1\/6)\/f*f\/(f*f**(-8))) assuming f is positive.\nAnswer: f**(-47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/106101 and -53\/70734?\nAnswer: 212202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*k + 44 = 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3190, 3253, 3364, 3529, 3754, 4045, 4408, 4849?\nAnswer: 5374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, y: 10, g: 1, t: 4, z: 2}. Give prob of picking 1 z and 1 g.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 413 divide 575565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*n**(-5\/4))\/((n\/(n*n**1\/n*n))\/n)*n**(-2\/17)\/n**(1\/8))\/(n**(3\/4)*n**(2\/3)*n**1\/(n*n*n**0\/n*n)) assuming n is positive.\nAnswer: n**(853\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j**2 - 2*j - 2. Suppose -4*n = -9 + 1. Let d be v(n). Suppose 1 = -4*i + 1. Is d >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + 9*k**2 - 184*k + 1294. Give c(7).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 273 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {m: 1, g: 2, k: 1, c: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(95) - -1*sqrt(95)*1 - sqrt(95)*-2*-2))\/(2*sqrt(20)\/(sqrt(180)\/sqrt(5))).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 + 25*s - 201. Calculate y(11).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (17 + -7 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 57483.2us in milliseconds?\nAnswer: 57.4832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 8 + 6 = 3*u, -20 = 5*c. Suppose -u + 27 = o. Solve -4*q + i - 20 = 0, 4*i = 2*q - 7 + o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6188 = -2252511*i + 2251627*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, i: 4, s: 1}. What is prob of picking 2 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 969\/(-38)*(-6)\/(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2710 divided by -15\nAnswer: -542\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -85295, -171575, -257855, -344135, -430415, -516695?\nAnswer: -602975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 110653178 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 17 + 16 + -22 - 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = -u - 1. Let f(q) = 4*q**2 + 4*q - 4. Let b be f(-4). Let t = b + u. Solve s - 4*o - 12 = 0, -4*s + o + 1 = -t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 50*a + 23 = -48*a, 0 = -b + 2*a + 7. Solve -3*w - 5 = 5*i - 20, -10 = b*i - 2*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 579505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - 12*d**2 - 4*d + 12. Let k(t) = t - 2. Let n(z) = 4*k(z) + s(z). What is n(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 4106 = 5*l - 4093, -4*u - 2 = -2*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = 2*m, 3*a = 1302*m - 1307*m - 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -373767969 - 1134197.\nAnswer: -374902166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -201321313 + -3?\nAnswer: -201321322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 3*f - 724. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 9:55 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230 is divided by (6 - -2)\/((-7)\/(-5 + -23))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -0.05, -12.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -75104*j**3 + 2*j**2 - 2*j - 311723 wrt j?\nAnswer: -225312*j**2 + 4*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 11 = 2. List the prime factors of ((-60)\/14)\/(i + 310\/35).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + -111101100?\nAnswer: -111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20 + 3*i - i - 12 + 1730*i - 865*i + 89 - 864*i + (-2*i + 1 - 1)*(0 - 1 + 3) - 2 - i + 2.\nAnswer: -2*i + 97","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13 or 89\/7?\nAnswer: 89\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -11 + 16. Let n(k) = -28*k - 23. Let g be n(h). Solve 3 = -g*q + 8*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41060 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 9300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-26)\/6 - (-2)\/(-3). Let r be 122\/(-10) - 1\/h. Let m be r\/18 + 5\/3. Calculate the greatest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 6, v: 3, b: 1, c: 2, s: 2}. Give prob of sequence cvv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*i - 2*i + 37*i in the form y + p*i and give p.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 16583 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 - -14. Suppose p = 2*s + w - 18, 0 = 4*s - 2*w - 33 - 3. What is the greatest common factor of s and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 - 4 + 0)*(-3 + 6 - 1) + 4 - 3 - 2)*(2*a**2 - 4*a**2 + 3*a**2)*(-3*a + 3*a + 4*a**3).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -565, 3\/4, 0.19, 0.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times -4352326?\nAnswer: 870465.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(4*(sqrt(117) + -1*sqrt(117)) + sqrt(117)))\/(sqrt(144)*-2*-3).\nAnswer: 5*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2 - 24*g - 9. Is 12 a factor of j(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of -2\/25*u**5 + 0*u + 0*u**3 - 7 + 0*u**2 + 1\/10*u**4. Factor i(b).\nAnswer: -2*b**3*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 - (14 + -22 + 6)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 38*((-1128)\/3760)\/(6\/(-10))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, -2, -380, -5, 2 in increasing order.\nAnswer: -380, -5, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t - 11. Let h be r(9). Let u be 1\/2 + 9\/h. Which is the second smallest value?  (a) -2  (b) u  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 22 = -5*j + 3*f, 14 = -5*j - 3*f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -4*p - 23, 22 = -2*p - b - 3*b. Sort -4, p, -3 in descending order.\nAnswer: -3, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 24*z + 20*z + 12 + 3*z - 8. Is f(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - 4*g**2 + g + 9. Let d = 13 + -16. Let n(v) = -2*v**3 + 3*v**2 - 10. Let o(x) = d*p(x) - 2*n(x). Is o(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8823567, -17647134, -26470701, -35294268?\nAnswer: -44117835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 54590990*c*m**4 + 2*c*m**3 - 15*c*m**2 + 107*c + 3015*m**2 wrt m.\nAnswer: 1310183760*c*m + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 822872469.\nAnswer: 3, 59, 4648997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 + 94*k**2 - 689*k + 284. Give a(-101).\nAnswer: -1534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-58 - (-10 - -20)) + -2 + 16 + -14?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19253\/96 - -610\/3. Find the common denominator of 59\/16 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/33 and -43\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4067071149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 375146 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 13*q + 12*q - 7 = 0, 4*q + 16 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 87 + -83. Let r be (25788\/(-231))\/(o\/(-22)). What is r rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqgyamug. What is prob of sequence auy?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1770\/10089*42\/35.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -4*x**4 + 4*x**2 - 2*x - 4. Let g(i) = -i**4 - i - 1. Let v(p) = d(p) - 2*g(p). Find r, given that v(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -5081, -5100, -5155, -5264, -5445?\n\"Answer: -3*c**3 + 2*c - 5080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 PM and 4:21 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 749320 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10 and -483.\nAnswer: -4830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + 9*d + 15. Let z be x(10). Let n be -3*1*(-228)\/9. Suppose 0 = -z*q + n + 104. Is q a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 3*s**2 - 1063*s. Let b(d) = -38*d**2 - 5. What is y(b(j))?\nAnswer: 4332*j**4 + 41534*j**2 + 5390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 44\/10 - 4\/10. Is g\/2 - (-3 + -48) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 409.04 and 0.531.\nAnswer: 217.20024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3081 a factor of 429487889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90 and 3411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of 1129*d**6\/60 - 353*d**5\/12 + 16*d**2 - 45*d. Find the third derivative of n(g) wrt g.\nAnswer: 13548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -20946.2 and 1?\nAnswer: 20947.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 4*g**3 + 9*g**2 - 1. Let z(b) = 3*b**3 + 8*b**2 - 2. Let q(x) = -2*m(x) + 3*z(x). Let f be q(-6). Let l(j) = j**2 - j + 5. What is l(f)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2745 + 8143. List the prime factors of o.\nAnswer: 2, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 13625 + -1899. List the prime factors of k.\nAnswer: 2, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41 + -37. Let u(o) = -o - 4. Let i(g) = -g - 5. Let a(z) = -4*z - 20. Let d(b) = -2*a(b) + 9*i(b). Give m*d(r) - 5*u(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zrrz when four letters picked without replacement from zrzmzzr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9\/38 + -1\/76. Which is bigger: 222 or y?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 4*s**2 + 4*s + 4. Give n(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6 - 873*r**2 - 341*r**2 + 39*r - 75*r + 37*r wrt r?\nAnswer: -2428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 25868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5520 and 1298580?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 758272.4 millennia in centuries?\nAnswer: 7582724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -4*w + 41. Let o be z(11). Suppose -46 + 18 = 4*u. Let r = u - -3. Sort r, -2, o in decreasing order.\nAnswer: -2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of -420*h**4 + 10537*h**3\/6 - 569*h - 3. What is the second derivative of b(m) wrt m?\nAnswer: -10080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of h**7\/14 + 9*h**6\/10 + 21*h**5\/10 - 210*h + 4. Factor u(k).\nAnswer: 3*k**3*(k + 2)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3121?\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1774558.\nAnswer: 2, 347, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of z**2 + 0*z**3 + 0 + 0*z - 1\/8*z**4. Let t(n) = 8*n**2 - 5*n**2 + n**2 + 0*n**2. Calculate t(j(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(52)*3 - (-1 + sqrt(1573) - sqrt(1573))) + (sqrt(104)\/sqrt(128) + -1)*-4)**2.\nAnswer: -38*sqrt(13) + 4694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.05 + 5.95. Let x = 11 - u. Let j = 7 - x. Which is the smallest value?  (a) -2\/5  (b) 2\/23  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -666, -1332, -1996, -2658?\nAnswer: -3318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2*y**2 - 17*y + 2. Give t(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 - -32. Let b be -1 + (-1 - -2) + -3. Let q be (-3)\/d - 31\/b. Solve 10 = -5*a - q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -6*c**3 + 2*c**2 + 20*c - 150. Determine y(0).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65 - 267 + 75*d + 66 + 70 + 67.\nAnswer: 75*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 100?  (a) 5  (b) 1\/9  (c) 0.1  (d) 7  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 8800640, 8800646, 8800656, 8800670?\n\"Answer: 2*h**2 + 8800638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x. Suppose -3*l + 17 = 8. Let y(m) = l*m**2 - 2*m**2 - 6*m**2. Determine g(y(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*-2*2\/16*4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of -w**4\/12 + 2*w**3\/3 + 6*w**2 - 9*w. Let p be d(5). What is the derivative of 10 - 31 + 11 + 3 - p*g**2 wrt g?\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6040754.\nAnswer: 2, 113, 26729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -38.101 + 0.101. Let y = d + 37.99978. What is y rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 653 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-1\/9)*b\/b**5)**(16\/7)\/((b**(2\/5))**(2\/47))**(-2\/51) assuming b is positive.\nAnswer: b**(-255656\/35955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 222*o - 333663 = 20*o + 359399. What is the greatest common factor of 376 and o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8286027 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5700603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-94)\/235*(-2)\/(7\/((-1575)\/(-10))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13 - 7) + 5*119\/(-85).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 12 = 2*g, -225 = -3*g - 4*n - 197. Let t = -9 - -157. Calculate the lowest common multiple of g and t.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*a + 71*a - 31*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.1785 - 0.0135. Let x = o + 1.192. Let m(r) = -4*r - 1. Let l be m(1). What is the third biggest value in l, 29\/4, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 106 - 105.9. Put l, -2, 23 in descending order.\nAnswer: 23, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 357 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 507166717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 9 + 3 + -12\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 4, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 3*t + 8*u - 4*u, 5*t + 4*u + 6 = 0. Put 3, 0, -13, t in descending order.\nAnswer: 3, t, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 247*d - 31. Let g(z) = -740*z + 106. Give -3*g(l) - 10*s(l).\nAnswer: -250*l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -3*h**3 - h**2 - 3*h - 1. Let k(v) be the third derivative of -v**5\/60 - v**4\/24 - v**3\/6 + 4*v**2 - 10*v. What is -k(a) + x(a)?\nAnswer: -3*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92530 is divided by 2138?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-21)\/(-4) - (-2)\/(-8). Let m(x) = x - 2. Let i be m(f). Suppose 9*c = 42 + 48. Solve c + i = z + 5*p, 4*z = -p + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13710 = -844*y - 9078 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 3*g + 138 = 0, 0*g = 3*y - 5*g - 110. Suppose -v = u - 6, -3*v + 5*u = y - 16. Solve -4*w = 5*k - 2, -v*w - k - 4 = -8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 3*t - d = -10, 4 = d. Suppose t*w + 3*x - 8 = -0*w, x = 0. Let i(r) = -2*r - 24. Let z be i(-11). Put z, w, 3 in increasing order.\nAnswer: z, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 + 10 - 6) + (-18 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 463 = 8*i + 383 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1203, -2407, -3611, -4815, -6019, -7223?\n\"Answer: -1204*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13151626 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 5*o - 13*o. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from obcnowtcocwnttowttnw?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 6*p = -8*p. Suppose p = -6*l + 293 - 299. Put -3, -2, 22, l in ascending order.\nAnswer: -3, -2, l, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -47393*w. Let u(s) = 7*s**2. Determine u(a(v)).\nAnswer: 15722675143*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -17.4, -0.04, -48\/19?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -5 + 1*(4 + (1 + sqrt(320) - sqrt(320))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 840466507 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -20*m + 16. Let o(x) = -13635*x. Determine s(o(v)).\nAnswer: 272700*v + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34901992, -69803984, -104705976?\nAnswer: -139607968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63*f**2*w*x*y - 376949*f**2*w*x + f*w*x*y - 12*f*w*x - 6*f*x*y - 8*f*y - 2*x*y - 112*y wrt f?\nAnswer: 126*w*x*y - 753898*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of n**6\/60 + 7*n**5\/30 + 5*n**4\/4 + 3*n**3 + 6*n**2. Suppose y(d) = 0. What is d?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((-1 + (1*2*sqrt(17) - sqrt(17)) - (sqrt(1377) + 6*(0 + sqrt(1377)))) + -4)**2.\nAnswer: 620*sqrt(17) + 65368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 - 5 = -5*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 85610668 divided by -4147.\nAnswer: -20644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 - 6 + 1)*(l - 2*l + 0*l) - 5*l + 4*l + 2*l)*(-4*l + 2*l + 3*l)*(0 - 3 + 0) to the form v*l + m*l**2 + j and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 24862927697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14456\/5 - -2892. Which is the biggest value?  (a) q  (b) -0.09  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77459 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -400 by 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000065388 to seven decimal places.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = o - 37, 5*r = 4*o + 186 - 61. Suppose -v - r = 26. Let g = v + 66. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -0.094  (c) -3  (d) 0.1697  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -517*v**2 + 246*v**2 + 269*v**2. Let t(d) = -3835*d**2. What is t(p(f))?\nAnswer: -15340*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that d**5 + 76*d**4\/7 - 1643*d**3\/7 + 1684*d**2\/7 + 1636*d\/7 - 1760\/7 = 0.\nAnswer: -22, -1, 1, 8\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 - -12. Let j(z) = 5. Let q(u) = u**2 - 1. Let d(v) = w*q(v) + j(v). Let b(o) = -o**2 + 4*o - 4*o. Determine d(b(g)).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 3*t - 17 = 5*c, -4*t = -4*c - 40. Let d(y) = y**3 - y + 88. Let i be d(0). What is the greatest common factor of t and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -4*m + 150, -5*m + 120 + 51 = 3*i. Suppose -m*h - 790 = -41*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + 11 = -2*q, -2*q + 4677 = -u + 4698 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0 and -1381.58469.\nAnswer: -1381.58469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 5*m - 45, -5*i + 3*m + 98 = 5*m. Calculate the remainder when 92 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15273*a**2 - 3841*a**2 - 4468*a**2.\nAnswer: -23582*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 k, and 1 j when three letters picked without replacement from juuuuwjguwcucguk.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 92, 1\/5, -4, 5, -18 in decreasing order.\nAnswer: 92, 5, 1\/5, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2056, -2200, -2344, -2488, -2632?\nAnswer: -2776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1867.8681 microseconds in weeks?\nAnswer: 0.00000000308840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 19 = -3*w - 0*x, 2*x - 13 = -w. Let z(l) = -12*l**2 - l + 2 + 7 + l**w + 4. Let t be z(12). Solve -2*y = -5 + t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 - 5*q**2 - q + 1. Let m be t(5). Let p = -25388 + 25393. Put p, 14, m in decreasing order.\nAnswer: 14, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of -5*m**3\/2 - 3657*m. Let w(g) = 37*g. Determine w(h(s)).\nAnswer: -555*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -6*w + 0*w - 28*w - 6*w. Let s(l) = -73883*l**2 - 8*l + 8*l + 73888*l**2. Determine s(u(h)).\nAnswer: 8000*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 3*q = -7, r - 2*q - 10 = 4. What are the prime factors of (30\/6 - -194) + r?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -65709, -65707, -65705?\nAnswer: -65703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -12*d**3 + 3*d + 39. Let m(t) = 5*t**3 - t - 19. Give 3*l(r) + 7*m(r).\nAnswer: -r**3 + 2*r - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2497067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.222, 2, 0.05, 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 + 1. Let z(h) = -4*h**2 + 7*h + 17. Let b(g) = 5*g**2 - 8*g - 20. Let w(d) = -5*b(d) - 6*z(d). Give 3*k(c) + w(c).\nAnswer: 2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (10\/15)\/(4\/54). Solve n = 6*j - 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 3*z = -2*z - 23, 5*i + 55 = 5*z. What is the units digit of (-2 + i)*(-447)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4293.82 kilograms to tonnes.\nAnswer: 4.29382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8.9 + 12. Let k = -3 + r. Which is the nearest to k?  (a) -4  (b) -2\/7  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10077 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + 3e51?\nAnswer: 3e4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 3*l**4 - 2*l**3 + l + 4*l**4 - 6*l**4 as b*l + v*l**4 + c*l**3 + k*l**2 + z and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.2932 * 3742\nAnswer: -1097.1544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 4*w + 3*f - 34 = 0, 0 = 5*f - 20. Calculate the remainder when 229 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -183, -336, -459, -546, -591, -588?\n\"Answer: v**3 + 9*v**2 - 187*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 275 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -173*c + 2 - 2 + 220*c to the form h*c + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 3*k - 21. Let d be h(0). Let z = d + 24. Find the second derivative of 0*l + 2*l - 8*l + 9*l**z wrt l.\nAnswer: 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*a**3 + 9*a**2 - 984*a + 5940 = 0. Calculate a.\nAnswer: -22, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of 5*u**7\/7 + u**5\/20 - 313*u**3 - 1702*u. Find the second derivative of d(r) wrt r.\nAnswer: 600*r**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnssnnnnnnnn. What is prob of picking 2 s and 1 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 7*i**3 - 36*i**2 - i + 3. Let h(z) = 7*z**3 - 36*z**2 - 2*z + 4. Let v(q) = 3*h(q) - 4*o(q). Find the third derivative of v(d) wrt d.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 896 and 10?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of 3\/35*s**5 - 1\/21*s**4 - 2\/35*s**6 + 0 + 0*s**2 + 2\/147*s**7 - 6*s + 0*s**3. Factor i(g).\nAnswer: 4*g**2*(g - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3539 or -3528?\nAnswer: -3539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2*3 + (-2 - 0). Solve 16 = 3*z + v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 30 = -7*u + 4*u, 2*u + 16 = 2*l. Let d be 4\/6*(15\/2 + -3). Let -4*h**2 - h**4 + 2*h**5 + 0*h**2 + 2*h**2 + d*h**2 - 2*h**l = 0. What is h?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/(-15))\/(1\/(-5)). Which is the smallest value?  (a) p  (b) 1  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 30 = -2*x, -3*x = -x - 2*z - 26. Let k be (255\/(-20))\/((-2)\/8)*1. Let u = 2 + k. Calculate the remainder when u is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127415383.\nAnswer: 37, 3443659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.671 rounded to 2 dps?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000560951 to 5 dps.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 89894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 + 48. Calculate the smallest common multiple of (-16)\/((2 - 3) + 0) and (l\/(-18))\/(6\/(-32)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 AM and 4:53 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 207*k + 107*k - 11546 - 2270 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**2 + 4*m**2 + 0*m**2)*(32*m**3 + 5*m**3 - 17*m**3) - 23*m**3 + m**5 + 23*m**3.\nAnswer: 21*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o\/o**(-2\/5)*o)*o)\/o)\/o**(1\/11))**(17\/6) assuming o is positive.\nAnswer: o**(-697\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 + -9)\/(4\/(-14)). Let j be 1\/(-2)*-4*(10 - 2). Suppose j - g = -q. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 3*a = 9, 5*f + 4*a - 7 + 49 = 0. Let m be (-200)\/6 - (-4)\/f. Is m*(3 + (-51)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 5:07 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -4192, 1\/5, -0.4, 4, -5\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 72065*i - 48. Let c(r) = -43239*r + 28. Let u(q) = 12*c(q) + 7*n(q). Let v(p) = 2*p**2. Determine v(u(w)).\nAnswer: 415469138*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/3 in 2, 5, 2\/15, 2\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.92 - 29.92. Let s = -29.4 - j. What is the closest to -3 in s, -3\/7, 0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -444 + 302. Calculate the common denominator of 81\/10 and (-3)\/12*(0 - d).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -85, -2, 1, 124, -16, -1, 36 in increasing order.\nAnswer: -85, -16, -2, -1, 1, 36, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-1)*o**7)\/((o\/(o**5*o)*o)\/(o\/((o\/(((o**(-1)*o*o)\/o)\/o*o)*o*o*o)\/o))) assuming o is positive.\nAnswer: o**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**5 - 536*z**4 + 16852*z**3 + 73968*z**2 + 76176*z.\nAnswer: 4*z*(z - 69)**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - 7) + 1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -4*a - 92, s + 4*a = a - 31. What is the common denominator of s\/(-57) + 1 + 410\/156 and -37\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - (3 + -8) - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-158230)\/(-15522363)*3\/(-5).\nAnswer: -2\/327","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 5:13 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1372998 + 11*v**2 - 2*v + 3*v - 686500 - 686498 - v.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 23 = -2*s. Let c = 3 - s. Let f be -2 + 4 - (0 + 0). Solve 2*i = 4*h + f, 5*i - 7*h + 2*h = c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c - 2. Suppose -a + 2*t + 1 = 0, -3*a - 4*t + 23 = -0*t. Let z = a - 8. Let s be (z + 0)\/(1\/1). What is v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0994 - -0.03?\nAnswer: -0.0694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 29 = 5*u, 2*l + 5*u - 11 = -0*l. Suppose 5*t + 0*p - l = 3*p, -2*p = -2*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1372773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 6*p**2\/7 + 29118*p\/7 + 25319580\/7 = 0.\nAnswer: -3718, -1135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -4*a + 60400000, -3*a + s + 75072388 - 29772388 = 0. What is a rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79 = -f - 21*k, 11*f + 311*k = 307*k + 39 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (6 - 3) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.06 + -0.06. Is h bigger than 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1270686 - 8105686. What is s rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five quarters of a kilogram in grams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -4*b + 5. Suppose 4*o = 20, -o + 2*o - b = -4*l. Which is smaller: l or -4\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-28))\/((-21)\/(1176\/16))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100100 - -122?\nAnswer: 100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*v**2 - 186 + 186.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 AM and 4:12 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45 + 44 + 62 - 623*s + 35.\nAnswer: -623*s + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22 + -24. Let w be 6 + (n - -3) - 1. Find z such that -w*z**4 + 6*z - 3*z - 1 + 1 - 9*z**3 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -139 - 4?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2*r**3 - 28*r**2 + 36*r + 366. Let t be h(11). Solve 5*p - 4*x + 15 = 0, 3*p - t*x + 22 = -31*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 5*a**3 - 14*a**2 - 11*a + 13. Let t(o) = -2*o**3 + 7*o**2 + 5*o - 6. Let z(p) = -3*g(p) - 7*t(p). What is the units digit of z(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + 22021111100201?\nAnswer: 22021111100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**3 - n**3 + n**3 + 8*n - 8*n - 3*n**3 + (-5 + 3 + 1)*(-7*n**3 + 3*n**3 - 8*n**3).\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56 - 25 + 86 - 3 - 2 - 18*q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.02*65\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of 1\/12*v**4 + 0 - v**2 + v - 1\/6*v**3. Factor o(z).\nAnswer: (z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > -1317\/6350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 3*g - 5. What is the tens digit of b(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 - 6*a**2 - 177 - 21*a + 7*a**2 + 21*a.\nAnswer: a**2 - 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165449 is divided by 9731?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 270 and 558.\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539)\/(sqrt(396)*5))\/(3*(sqrt(448) - 2*sqrt(448))).\nAnswer: -sqrt(7)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00228945 rounded to five dps?\nAnswer: -0.00229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1021222201122011212 + 1?\nAnswer: 1021222201122011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of y**6 + 29*y**4 + 4*y**3 - 1678*y**2?\nAnswer: 120*y**3 + 696*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:44 PM and 9:09 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -124*n. Let v(h) = -61*h**2 + 19*h**2 + 12*h**2 + 12*h**2 + 17*h**2. Give v(o(u)).\nAnswer: -15376*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, -111\/116, 0.026, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 492\/11  (b) 8  (c) 54\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 378131 and 9367?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64381.\nAnswer: 64381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t*t**(3\/10)*t))\/t)**(9\/8) assuming t is positive.\nAnswer: t**(-297\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -242 - -239. Let f be -8*m\/36 + (-340)\/384. Does 1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/(-24)*(-56)\/(-196)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 9*j**3 + 7*j**2 - 7. Let s(o) = -3399*o**3 - 2*o**2 + 3396*o**3 + 1 + 1. What is 6*b(d) + 21*s(d)?\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 190*y - 189*y - 28 = 0. Suppose -y*v + 18*v = -560. What is the remainder when v is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3113543038 and 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15710964?\nAnswer: 2, 3, 67, 19541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5523\/8 or 690?\nAnswer: 5523\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 2*b - 1. Suppose -9 = 5*o - 5*r + 6, 0 = o - 5*r + 11. Give y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*h**4 - 52*h**3 + 60*h**2 - 28*h + 4.\nAnswer: 4*(h - 1)**3*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((24\/28)\/(-2))\/(90\/(-1320)). What is h in -y*h - 8\/7 + 16\/7*h**3 + 64\/7*h**4 - 8*h**2 + 4*h**5 = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/208531 and -5\/5587.\nAnswer: 7715647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -7.8762, 40 in descending order.\nAnswer: 40, -4, -7.8762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -32\/846747 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -266 + 102 + 4*i - 3*i**2 + i**2 - 212 + 5.\nAnswer: -2*i**2 + 4*i - 371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3737 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -252 + 232. Calculate the common denominator of -43\/66 and k\/15*56\/576.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1451 + 1450. Let r(n) = 2*n + 10. Let m(h) = 1. What is j*r(t) + 5*m(t)?\nAnswer: -2*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**4 + 506*h**3 - 9320*h**2 - 37400*h + 108000 = 0. Calculate h.\nAnswer: -270, -5, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 11, y: 6, b: 2}. What is prob of picking 1 b and 2 y?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 110, 244, 380, 518, 658?\n\"Answer: n**2 + 131*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15846 and 19182?\nAnswer: 364458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/5)\/((-57)\/12730). Let m = r - -632. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 5*h**2 - 6*h - 4. Let r(l) = l**2 - l + 1. Let q(n) = -r(n) + y(n). Let s(f) = -3*f**2 + 4*f + 4. Give -4*q(m) - 5*s(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1437.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.74 - -1.26. Which is the third biggest value?  (a) 5  (b) t  (c) -1  (d) -1\/11  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c**2 - 5*c + 17. Determine u(-9).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (0 - (-1 + 4)) - (-187 - -215).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -3 - 9*q**2 - 8 + q - q**3 - 3*q + 0*q. Let z be n(-9). What is the second derivative of -3*h**4 + 0 + 1 - 1 - z*h wrt h?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 46*k + 2. Let u(m) be the first derivative of -1\/2*m**2 - 112 + 0*m. Give x(u(g)).\nAnswer: -46*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 14 = -2*b, 4*q - 35 = -5*b + q. Let s(g) = 2*g + 31. What is the remainder when 86 is divided by s(b)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 751973 divided by -5.\nAnswer: -751973\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -307 = -58*p + 53*p + 24*o, 0 = 4*p - 4*o - 48 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3628243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 2. Let v be (d - (-5)\/(-2))*-6. Suppose 4*z = -v*f + 3, -z = z - f - 9. Solve 14 = -0*w - z*w - 5*t, 0 = 5*w - 3*t - 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 14*b**2 + b + 18. Let h be r(-14). Sort 74, h, -5 in decreasing order.\nAnswer: 74, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134*n - 1047 - 673 - 424 = 0. Solve n*y - 5*y = -22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -5, -22 in increasing order.\nAnswer: -22, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c + 5*r + 70, -6291*c + 0*r = -6294*c - r + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = y + m - 5, 2*y + 4*m - 38 = 0. Suppose -6*q + y*q + 3*z = 102, -z - 14 = -q. Calculate the least common multiple of q and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 28 - 25. Suppose -d*j + 2*j + 847 = -3*t, 0 = -5*j + 2*t + 4183. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.5 + 6.5. Let m be (-3)\/6*(6 - 12). Let f be (m\/60*-4)\/((-3)\/(-3)). Which is the second biggest value?  (a) f  (b) p  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 60946 - -5?\nAnswer: 60950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c + 10. Let l be u(-11). Let i be (4\/(-48)*-4)\/(l\/(-12)). Solve i = 3*f - 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 15 = 136*t - 137*t, 21 = t - z for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 + d**2 - 5. Let t(j) = -3750*j**3 + 3*j**2 - 6563*j - 15. Let r(o) = -t(o) + 3*v(o). Find the second derivative of r(u) wrt u.\nAnswer: 22482*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 12 = -3*n, m - 5*n = -3*m + 20. Let v = m + 5. Solve -v*z - 32 = -4*b, 5*z + 8 + 21 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-234)\/27*(2 - (-57)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.137 - -0.863. Which is the smallest value?  (a) -2  (b) 0.2  (c) -3\/7  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 4377.375ng?\nAnswer: 0.004377375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 106835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 6 - 6. Suppose 8*z = b*z + t + 9, -5*t + 5 = 0. Suppose 0*a = -z*a + 146. List the prime factors of a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -238 + 951\/4. Suppose -5*p = -4*p - 3. Let s be -4 - (-1 + (2 - p)). Which is bigger: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of u**4\/12 - 2*u**3\/3 + 2*u**2 + 6*u. Suppose f(b) = 0. What is b?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -935*x + 4. Let g(r) = 1878*r - 7. Calculate 11*a(c) + 6*g(c).\nAnswer: 983*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 219 = 2*l + l, 0 = -5*l - 10. Let j = v - -6. Calculate the remainder when j is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + f - 100 = 0. Suppose -33 + 21 = -3*v. What is the highest common divisor of f and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dowo when four letters picked without replacement from {o: 2, w: 1, d: 1, v: 2, q: 4, t: 2}?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6451573232*x**3 - 213*x**2 + 213*x**2 + 6451573229*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -16*g**3 + 17*g**2 - 24*g + 4. Let j(m) = -5*m**3 + 5*m**2 - 8*m + 1. What is -2*d(k) + 7*j(k)?\nAnswer: -3*k**3 + k**2 - 8*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110272 = 3459*x - 20338 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 + -17. Let g = 26 + -26. Let s = a + g. Which is smaller: s or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 9:00 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7785*b**3*g**2 - 2*b**3*g + 83*b**3 - 2302567*b**2*g**2 wrt b.\nAnswer: 46710*g**2 - 12*g + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 - 19 - 35 - 276*w + 576*w - 304*w + 68.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-14) + (-150)\/(-210)*96\/30. Solve -14 = -w - 12, 0 = -4*z + v*w - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -75949200 to the nearest one hundred thousand.\nAnswer: -75900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -255 or -256?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ioiowniiiinnnniiwin?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 927131 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from snssnsnnnnnssnnku. What is prob of picking 1 s and 1 k?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g = -8*g. Suppose 5*h = -2*r + 9, 4*r + 2 = 3*r + 4*h. Let u = 2.75 - 3.75. Which is the closest to r?  (a) u  (b) g  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9*(-16)\/96 + 3)*(-32)\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 1\/(147\/18 + -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 729460306 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -278, -551, -812, -1055, -1274, -1463, -1616, -1727?\n\"Answer: k**3 - 280*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 929 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 288.1 from 8.8.\nAnswer: -279.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-462 - -477) + -4 + (-2 + -2 - 53).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 10 - n + 3*n + 2*n - 7*n - 7*n as o*n + m and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38827, 77627, 116427, 155227, 194027, 232827?\nAnswer: 271627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 1482?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 4*f - 287. What is k(-14)?\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2034330119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-929)\/(-929))\/(-2*3\/(-34)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 480 is divided by 70.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 16 = n, 0 + 1 = -2*n + 3*d. Solve 1 = n*y - 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62234633 is divided by 6914958?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -456 - 1164 = -23*g + 83*g for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -15754 (base 8) in base 9?\nAnswer: -10722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 5 + 45 = 0. Suppose 2*x = y*x. Let h(p) = x + 6 + 4*p - 5*p. Determine h(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4375379.\nAnswer: 43, 97, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = 2*d, 0 = 27*d - 28*d - 5*n + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pjp when three letters picked without replacement from {p: 2, n: 3, c: 1, j: 6}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a**(-4)*a))**42 assuming a is positive.\nAnswer: a**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*(-42)\/(-7))\/(12\/(-8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of 2*u**3\/3 - 105. Let n(y) = -512*y**2. Determine v(n(r)).\nAnswer: 524288*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.712 less than -521?\nAnswer: -521.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 387\/(-2408)*8 - 0?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:03 PM and 11:15 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rss when three letters picked without replacement from {r: 3, s: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 2 in descending order.\nAnswer: 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-46)\/69*(-2)\/12.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4\/5 + 149*w**3 - 138383*w**2\/5 - 139129*w\/5.\nAnswer: -w*(w - 373)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 62 + -58. Suppose 8 = z + c. Suppose -z*j - 2*d = -0*d - 74, -5*j + 115 = -2*d. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m + 4. Let s be n(4). Let o(t) = t**3 - 7*t**2 + t - 4. Let p be o(7). Let a be 66\/24 + p*(-1)\/(-12). Solve c = -s*c - a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 PM and 8:36 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -278053166*p**4 - 2286861*p**2 + 2*p + 4 wrt p?\nAnswer: -6673275984*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 49*n**2 - 13 + 6.\nAnswer: -49*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(1\/7)*w)\/w**(1\/2))\/((w**5\/w)\/((w**(-5)\/w)\/w)) assuming w is positive.\nAnswer: w**(-145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*a**2*t**2 - 4*a**2*w + 1509*a**2 + 2555*a*t*w - 218*a*w + 3*a - 758*t**2*w + 2*w - 2 with respect to t.\nAnswer: 6*a**2*t + 2555*a*w - 1516*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5591?\nAnswer: 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, q: 6, d: 9, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 8  (b) 0.3542  (c) 306\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*r**3 - 78*r**3 + 24*r**3.\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.6 - -5. Let k = g - 0.2. Let t = 0.2000016 - k. Round t to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-309*x**2 - 74*x**2 + 11*x**2)*(34*x**2 - 3*x**2 - 6*x**2).\nAnswer: -9300*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2*f = -10, 2*c - c = -5*f - 25. Sort c, 5, -2, -1 in decreasing order.\nAnswer: 5, c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 231828633?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -32 and -189.654.\nAnswer: 6068.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 - 54*c + 33*c + 24*c + 24*c + 6.\nAnswer: 27*c - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and 19.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 PM and 4:06 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 860 = r + f, -2*r + f = -1721. Suppose 6*c = 9 + r. List the prime factors of c.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 214234237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l**2 - 7*l - 12. Let m be t(-2). Let x(r) be the second derivative of -11*r**3\/3 + 6*r**2 + 27*r. List the prime factors of x(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -1. Let w(a) = -a**2 - a - 19. Let z(b) = 4*h(b) - w(b). Determine z(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14919.2064 minutes to weeks.\nAnswer: 1.48008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3627.96603 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - 17. Let w = 77 + o. Suppose j + 4*d - 17 = 6*d, j + 3*d = -3. What is the greatest common factor of w and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -8 + (67 - 90) + 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62969990.\nAnswer: 2, 5, 19, 31, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + 8*b**2 + 2. Let g be i(8). Let t(n) = -n**2 + 3*n - 3. Let f be t(g). Let x be (-2*1)\/(3 + f). Which is greater: x or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5618.855 to the nearest ten.\nAnswer: 5620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 55.33 - 4.73. Let s = m - 45.6. Sort 0, 4, -0.14, s in decreasing order.\nAnswer: s, 4, 0, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 377640 and 85040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b6cd (base 15) in base 12?\nAnswer: 68b7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 171 = q, -p = 5*q - 6*p - 855. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/8)\/(-9) + (-18)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*q**3 + 15*q**3 + 13*q**3)*(0*q - 12*q**2 + 3*q - 2*q).\nAnswer: -252*q**5 + 21*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/26)*i\/(i*i\/(i**(-38)\/i)))\/(i**(-48))**(-34) assuming i is positive.\nAnswer: i**(-43475\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -293.451778 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 82.334*4\nAnswer: 329.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*x + 58 - 63 = 3*g - 269, -875*g + 871*g - 12 = 0 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6814732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 3 + 5*t + t**2 - 1 - 4*t. What are the prime factors of x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 > -0.03988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18212 (base 13) to base 14.\nAnswer: 12d2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -2  (b) -1  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04549 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -4*b - 10, 0 = 2*l - 5*b - 31. Solve 4*f = 4*z + 4, z = 3*f + l*z - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -48 = 1091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31663 (base 10) to base 3.\nAnswer: -1121102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 49797792 and 27665440.\nAnswer: 248988960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1003843433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 3. Let b(t) = n*t**2 - 3*t**2 + 4*t**2. Let j(l) = 3*l**2 + 4*l - 4. Let z(y) = -6*y**2 - 7*y + 7. Let p(a) = 7*j(a) + 4*z(a). Determine p(b(x)).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.07 in 8, 12, 172, 1, -1.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/13)\/l*l**(-1\/12)*(l**(-1)*l)**23*(l**6*l*l**(-2\/3))\/(l**2\/l*l*l\/(l*l*l\/l**(-6))) assuming l is positive.\nAnswer: l**(593\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(-16)*p*p)\/p*p)**43)**(-14\/9) assuming p is positive.\nAnswer: p**(7826\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -282*a + 17. Let g(q) = -423*q + 27. Calculate 5*g(j) - 8*p(j).\nAnswer: 141*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 210 + 137. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -66\/5 or 36?\nAnswer: -66\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 25 = 2*f. Let p(w) = -3*w + 20. Let b be p(f). Let j = -12 - -20. Calculate the highest common divisor of b and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t + 4. Let p be h(2). Suppose -2*g + p*g = 2*q - 104, 2*q + 4*g = 80. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 268035325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of g**3\/3 + 5*g**2\/2 - 5*g + 3. Let t be x(5). Suppose -7*q + 3*q - 20 = 0, t = 2*w - q. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 230 = 534. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0633 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0807 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*s**2 - 20*s + 8*s**2 + 35*s + 12 - 21*s**3 + 33*s.\nAnswer: -3*(s - 2)*(s + 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/2088 and -20\/8325639.\nAnswer: 66605112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = 9*o - 5*o - 12, -o = 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 18\/4*(-8)\/6. Let w = 7 + l. Is w != 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2129119539 - 15470\nAnswer: -2129135009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -5*l - 67. What is q(-23)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8002?\nAnswer: 2, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*f**2 + 14 - 14 + (2*f + f - f)*(-3*f + 0 + 0) + (-1 + 1 + 2*f**2)*(3 + 1 - 3).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1586 and 4?\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.29?  (a) -2\/219  (b) -1  (c) 0.5  (d) -82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = s - 261, -f + 813 = 3*s + 4*f. Let i be s\/14 - 16\/(-56). Let y = 797 + -789. Solve -3*x + y*x + i = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3783 + 8*n + 14*n - 43*n + 14*n + 9*n.\nAnswer: 2*n - 3783","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) 2  (b) -0.1  (c) 0.05  (d) -293\/3  (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 375, -0.3, -2 in descending order.\nAnswer: 375, -1\/4, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.24?  (a) 0.4  (b) 5  (c) -27  (d) -3  (e) -56\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00199693 rounded to five decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, o: 2, p: 2, z: 8}. Give prob of picking 1 c, 1 p, and 2 z.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 149*t - 157*t - 120. Let r(y) = -24*y - 360. Let k be r(t). Let v(s) = s**2 - 45. Give v(k).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6, -87, -244, -483, -810, -1231?\n\"Answer: -b**3 - 32*b**2 + 22*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2181451174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -669999*x - 4. Let a be d(4). Round a to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -897*d**6 - 10363*d**4 + d**3 + 2*d**2 - 3*d - 1563105?\nAnswer: -107640*d**3 - 248712*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(1539) - sqrt(1539)*-3))**2*-3.\nAnswer: -295488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -7*z + 35. Calculate the remainder when a(-11) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, 1950 in increasing order.\nAnswer: -2, 3, 1950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13234536 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/(-38976)*-14*6?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/21)\/(1*(-65)\/(-182)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 720 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-16)*r)\/((r**(2\/17)*r)\/r))**41 assuming r is positive.\nAnswer: r**(-10537\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 3*a**2 - 3*a - 51. Let k be l(-7). What is the remainder when (-2)\/(-13) - (0 + (-49941)\/k) is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5715 + 8899. What are the prime factors of i?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1627 is divided by 328?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 8 = 2*u, -2*x - 1 - 1 = -4*u. Solve d + 5*c + 12 + 11 = 0, 8 = -d - u*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*4)*-4 - (sqrt(117) - -4*3*sqrt(117)))\/((sqrt(144)*2 + sqrt(36))\/(sqrt(4) + sqrt(100)*-6)).\nAnswer: 29*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {u: 7, b: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that t**3\/3 + t**2\/3 - 4*t = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**4 + 156*d**3 - 1197*d**2 + 1930*d - 888 = 0. What is d?\nAnswer: 1, 6, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 16, -1\/2049, 0.2, 24?\nAnswer: -1\/2049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 - 10. Find the second derivative of 12*h**5 - k*h - 9*h**5 + 2*h wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.4038 - 4.5962. Which is the closest to -2\/25?  (a) 1\/7  (b) r  (c) 0.4  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -107*f**3 + f**2. Let u be i(-2). Suppose -2920 = -4*g - u. Suppose 4*y = g - 7. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6409137*j**2 - 15719904*j wrt j?\nAnswer: -12818274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 3*m = 50. Let a = m + -8. Let b(h) = -h - 4*h**3 + 6*h**2 - 4*h - h**a. Let k(i) = -i**3 + i**2 - i. Calculate b(z) - 5*k(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.22 + 0.91. Let s = b - 24.69. Let r = s + 24.99944. What is r rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1024, -1121, -1206, -1273, -1316, -1329, -1306, -1241?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/n**6)\/n**(-1))**(5\/4))**16 assuming n is positive.\nAnswer: n**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/11 in 2, 1, -1.5, 5.654?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) 5  (b) 2  (c) 0  (d) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11011100 (base 3) in base 9?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/257 - -259\/514. Let s(v) be the first derivative of v + 0*v**3 + 2 + v**2 - 1\/5*v**5 - k*v**4. Factor s(g).\nAnswer: -(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 552 - 552.1. Let k be (-4)\/(-63) + (-4)\/(-18). What is the third smallest value in f, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from cxxbcbxx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92 divided by -66.\nAnswer: -46\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*f = -1531 + 331. Calculate the remainder when 199 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 0*f + 12 = 0. What is the remainder when 30 is divided by 2 - (-3 + 0 - f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2261*g - 2289*g + 672 = 0 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 2*q = 0, q = -3*r - 3*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -360*o - 206 = 154 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-8)\/((-18060)\/(-1390) - 13)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/(15\/33) + -3. Suppose -2*r + 4*r - z = 0. Let f(l) = 14*l - 8. What is the tens digit of f(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j**2 + 1830540*j - 18304900 = 0. Calculate j.\nAnswer: 10, 366098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 5  (b) -2  (c) 1  (d) -4\/19461  (e) 0  (f) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 10 = -2*m, -2*m - 450*u = -446*u - 26. Let q(t) = t**3 - 5*t**2 + t + 5. Calculate the remainder when q(5) is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2. Let v(p) = 3583*p + 2172*p - 1554*p. Give o(v(x)).\nAnswer: -17648401*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + sqrt(99)*4*1)\/sqrt(9).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(0\/2 + 3\/6). Solve -l*h = -h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10784959459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n + 8. Let l be 2*(-9)\/42 - (-108)\/(-42). Let v(p) = -4*p - 15. Determine l*v(b) - 5*j(b).\nAnswer: 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 11, 28, 45?\n\"Answer: 17*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 167 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, s: 1, z: 2, h: 2, o: 1, x: 1}. Give prob of picking 1 b and 2 h.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 2*x + 2*x + 5, 4*x + 8 = 0. Suppose -2*u = 2*d + d + q, 5*d + 15 = 0. Put 3\/5, u, 1\/9 in decreasing order.\nAnswer: u, 3\/5, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6362*m + 157*m = -743*m - 493816 for m.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -11*v - 109 + 239. Calculate the greatest common factor of 915 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*i**2*k**2 + i**2*k + 4*i**2 + 39*k**5 + 15*k wrt k.\nAnswer: -4*i**2 + 780*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 92774 and 33736?\nAnswer: 371096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 AM and 12:08 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 2, -4, 38, 29, -1 in decreasing order.\nAnswer: 38, 29, 2, -2\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -3*x + 50. Let n = x - 9. Suppose -2*j = -3*j + n. Which is bigger: 2\/13 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185852 is divided by 2567.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 54200946?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j - 5*j + 2*j + 2*j. Let o(f) = 2*f. Determine d(o(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 212935027.\nAnswer: 212935027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12223324 + 323?\nAnswer: -12223001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ylxxdba. What is prob of sequence xxa?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence he when two letters picked without replacement from qeh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 65473366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 590640 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -3*y - 3. Let d(p) = -p**2 - 24*p + 49. Let a be d(-26). Determine u(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*b = -62754 - 24024. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10.141 + -15.141. What is the fourth biggest value in -0.2, -1, i, -0.049?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from slselslllee. Give prob of picking 2 e and 2 l.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*s + u + 1, 0 = 4*s + 2*u - 12. Suppose 3*j - 3*h = -0*h + 24, -18 = -s*j + 3*h. Solve 1 = 5*t + j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 266989434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 3*c**3 + 4*c**2 - 3*c. Calculate a(3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -6*g - 9. Let w(k) = k**2 + 2*k + 1. Let n be w(-3). Let x(d) = 3*d + 4. What is n*j(h) + 9*x(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f + 7*z - 5*z - 191404 = 0, 119623 = 5*f - z. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 4*i = -689991. Let z be 12\/20 + i\/5. What is z rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7.48 + 0.68. What is i rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/3)\/n)\/n*n**(1\/5)\/n*(n**(-1\/4)\/n)**(-26) assuming n is positive.\nAnswer: n**(901\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 122 + -121. Solve 5*n - u = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 16865 or 16864?\nAnswer: 16865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -94243 at most as big as -94189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 + 78*y**2 + 169*y + 176. Calculate n(80).\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (303194\/4)\/((-18)\/(-972)*27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 - 7*d**2 - 3. Let n be x(-6). Let v be (-2)\/(-13) + 45\/n. Let r = -1\/15 + 19\/60. Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1490\/11 + -24753\/176. Let j = -1238071\/4 + 306623. Let z = -2909 - j. Find the common denominator of z and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 4*o + 13, 0 = -o + 4*o + 3. Let g be b\/(-1)*(-4)\/6. Factor 0*s - 4*s + 2 + 2*s**3 + 2*s**3 - g*s**4.\nAnswer: -2*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 5 = 3*b, -3*d + 0 + 3 = 0. Suppose -3*x - b*x + 10 = 0. Solve -12 = x*i + 2*c, -6*c - 5 = -c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*(a\/a**(-10))\/a)\/(a\/(a*a**(-4)*a)))**(-40)*(a**(-2\/19)*a**(-2\/37))**(-2\/43) assuming a is positive.\nAnswer: a**(-9673056\/30229)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61611353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6468 is divided by 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1992427 and 1084.812.\nAnswer: 1993511.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 75620.46708 to the nearest one hundred.\nAnswer: 75600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 162\/(-4)*(-3)\/((-9)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -0.03  (b) 1\/249  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 48*k - 9. Let l(m) = 7*m - 160. Let f be l(23). What is the remainder when r(f) is divided by 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/92 and 131\/1315656?\nAnswer: 30260088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242) - 3*(-2*sqrt(242) - sqrt(242))**2 - sqrt(242))*5.\nAnswer: -32670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111000 (base 2) to base 6.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 9, m: 5}. What is prob of picking 3 m?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9901 is divided by 1164.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2. Suppose 3*y + 2*p + 2 = -0*p, -4*p - 16 = 0. Suppose -3*c + 3 = y*f, 6 = 5*c + 3*f - 0*f. Let a(d) = c*d - 6*d + 2*d. What is a(q(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 + 10. Is 6 + a - (-23 + -1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -486 divided by 486\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/514*(2 + 1)\/(-3). Solve -3\/4*b - 1\/4*b**2 + f = 0 for b.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -96, 2, -2 in decreasing order.\nAnswer: 2, 1, -2, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 539197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/30*1\/2)\/((-5)\/(560\/16))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 330*n**2 + 142*n + 142. What is the remainder when p(-1) is divided by 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-47 - -47) + -4 + -5 + 11 + -2. Find v, given that -1\/3*v**3 + 1\/3*v + o - 1\/3*v**4 + 1\/3*v**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 41 + 1370*f**4 - 1372*f**4 + 9 - 2*f**3 to i*f + u*f**4 + s*f**2 + t + j*f**3 and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94 = 5*u - 26. Let h(v) = v**3 + 13*v**2 + 10*v - 6. Let r be h(-12). Let s = u - r. What is the smallest common multiple of 7 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**0*n**1)\/(n*n**(-1)*n**(-8)) assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 5*c = 154, 4*g = -2*c - 2*c + 200. Let y = 50 - g. Solve 0 = -u - u - y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k - 2*k**2 + k)*(-2*k**2 + k**2 + 2*k**2) + 2 - 2 + k**4 - 5*k**4 + 4*k**4 + 3*k**4.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 6*t + 29. Let n be s(-4). Solve n*l + 2 - 22 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1350 and 3750.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fourty-one sixths of a week?\nAnswer: 68880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from jbdbbjb?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 148079020?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/(-8))\/((-18)\/(-48)). Suppose -140 - 63 = 5*v - r*f, -5*f + 77 = -2*v. Let y = v + 71\/2. What is the common denominator of y and 3\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*(u**(1\/2)\/u)\/u*u**(-1)*u*u**(2\/23)*u*u\/(u**6\/u*u)*u assuming u is positive.\nAnswer: u**(-157\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 - 10*f**2 + 8*f - 9. Calculate c(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 480744*a**6 - 97*a**2 + 19*a + 30?\nAnswer: 57689280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-18768)\/(-4) - (3 + 1). Suppose d = -27*t + 28*t. Suppose t = -3*f + 19*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00207033905 to 7 decimal places.\nAnswer: 0.0020703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y - y + y)*(6 - 6 + 8).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 116 divide 141718012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of k**4\/12 + 5*k**3\/6 - 7*k**2\/2 - 4*k. Let x be z(6). Let p = x - 25. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 3*y - 315, -7*v - y = -4*v - 455. Let o = -142 + v. Suppose -2*q + 35 = 3*f, 0*f - 2*f = q - 22. What is the lowest common multiple of f and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27448, 27392, 27336, 27280?\nAnswer: 27224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the first derivative of -3\/2*d**2 - 3 + 0*d - 1\/240*d**5 + 0*d**3 + 1\/96*d**4. Let q(v) be the second derivative of c(v). What is z in q(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -1728 - 95*b + 3*b**2 - 6*b**2 + 31*b - 80*b = 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*d - 13 = -92*d - 4*x, -5*d + 2*x = 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 181139 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11 or 7909\/723?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1984991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -3*(0 + sqrt(5)).\nAnswer: -3*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -65?  (a) -2\/21  (b) -2\/7  (c) -0.01  (d) 5\/31  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m + 12. Let u be j(24). Let y be (-8)\/u*267*-5. Suppose -5*i + 172 = -y. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 13 - 47. Suppose 5*r - 25 = n. Suppose 0*g + 2*g = -r. Which is the third smallest value?  (a) 3  (b) g  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from hhzph.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 7*x + 7 = 3*x, 2*q - 4*x - 2 = 0. Let c(w) = w**3 + 43*w**2 + 4 - 41*w**2 - q. Let d(r) = r**2 - r. Give c(h) - 2*d(h).\nAnswer: h**3 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 184326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 206 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10741 = -83*y - 12*y + 16156 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 70\/3, -13\/7381, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 67 divided by 203529\nAnswer: 67\/203529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**4 - 15*r**3 + 21*r**2 - 9*r.\nAnswer: 3*r*(r - 3)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -438, -889, -1342, -1797, -2254?\n\"Answer: -s**2 - 448*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -1. Let d(j) = j + 6. Let h(r) = -d(r) - 6*i(r). Let x(q) = 13*q. Determine h(x(a)).\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (85\/(-170))\/(2\/(-16)*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2475  (b) 45  (c) -3  (d) -1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-284451)\/(-106)*(-14)\/(-3) + -1?\nAnswer: 2, 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -638333\nAnswer: -2553332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -681587, -2 in descending order.\nAnswer: -1, -2, -681587","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1\/5, -2\/15, -2, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-195)\/(-39)*(-2)\/(4\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 9744511 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 - 5*f - 1. Let w be k(-4). Suppose w*m + 199 = 3*a + m, -63 = -a + 4*m. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {a: 1, h: 1, c: 1, t: 2, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 + -12. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/4 and (-2)\/8 - (-265)\/(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/3 - 2\/(-6). Let t = 1055 + -1040. Suppose 19*s - 14*s = t. Solve h - 1 = 3*r - o, -5*h - 13 = s*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64.52729 hours to minutes.\nAnswer: 3871.6374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -3*z - 2, -2 = -3*p - 5*z - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5244\/27 + 7 + (-390)\/54 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 64 in 2\/15, 2\/53, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (-16 - (43 + -58)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17889858 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of -l**7\/2520 + 11*l**4\/24 + 3*l**2. Let c(y) be the second derivative of m(y). Let j(z) = -2 + 2 + z - 16*z. Give c(j(w)).\nAnswer: -225*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-56)\/21*6557385\/(-4). Suppose 5*m + 1544729 = -3*b + 8102128, -2*b - m = -d. Suppose r + 1194207 = -b. Round r to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - k + 2*k**3 + 0*k - 4 + 3*k to v*k**3 + q*k + r*k**2 + m and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39.2 + -37.9. Put -4\/29, 1, d, 3 in increasing order.\nAnswer: -4\/29, 1, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 42875, 42437, 41715, 40715, 39443, 37905?\n\"Answer: u**3 - 148*u**2 - u + 43023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the first derivative of n**3 - n + 902. Let v(d) be the first derivative of -7*d**3\/3 + 3*d - 4. What is 5*o(j) + 2*v(j)?\nAnswer: j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**3 - 7*b**2 - 3. Let d be u(3). Suppose 0*p + 28 = -4*p. Let o be -3*6\/21*p\/d. Are o and 0.037 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 127 * -1.17031\nAnswer: -148.62937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/(k\/k**(-20)))*(k*k\/k**(2\/5))\/k)\/(k**(1\/7)*k*k*k**5*k) assuming k is positive.\nAnswer: k**(471\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4427981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 267 + 36*q**2 - 37*q**2 - 266 + 15*q**3 to r*q + o*q**2 + j + y*q**3 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41 - 21. Let q be (-13)\/z + (-2)\/(-5). Let j be 0\/(-2) - (-6)\/(-4). What is the biggest value in j, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 83?  (a) -2\/3  (b) 0  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b*b**(2\/13))\/b)\/((b*b*b**8*b)\/b))**(-21\/2))**(-3\/16) assuming b is positive.\nAnswer: b**(-252\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8*h*l*o + 108194*h*l + 67*h*o - h - 853819394*l*o wrt h.\nAnswer: -8*l*o + 108194*l + 67*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 135 (base 11) to base 16\nAnswer: 9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1460972 and 2043?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 163762521631 - -0.072.\nAnswer: 163762521631.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -2\/15177, 0.3 in ascending order.\nAnswer: -0.5, -2\/15177, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 69 + -46. Let m = x + -22. Let p be (0 + 4)*1\/(-7). Which is the nearest to 1?  (a) p  (b) m  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2687, 10406, 23271, 41282, 64439, 92742?\nAnswer: 126191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of f**3*p - 646*f**2*p + 3*p + 2173 wrt f?\nAnswer: 3*f**2*p - 1292*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 770129 - 2310386\/3. Factor -1\/6*f**2 - h*f - 1\/6.\nAnswer: -(f + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 3*y**2 - 7*y + 1. Let k be j(3). Let i be (-4595)\/(-15) - (-4)\/(-12). Calculate the greatest common factor of k and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.096 times 7\nAnswer: -0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-49)\/5*(0 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(432) + -2 - (sqrt(432) - sqrt(432)*-2*4))**2.\nAnswer: 192*sqrt(3) + 27649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2648897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000015861071137 to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 8 = -7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1040 and 195?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 38*f + 4. What is n(-1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**3 + 160*t**2 + 2*t + 180. Calculate a(-80).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {l: 1, o: 1, r: 2, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2520 is divided by 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ywyv when four letters picked without replacement from {w: 3, y: 3, v: 1, s: 2, j: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 30639244057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 42 + 57 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 708*a - 925. What is the remainder when z(2) is divided by 479?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1155725923 minus -255?\nAnswer: 1155726178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-40) - 7083233921283\/(-8540). Let v = 829418497 - d. Let s = 3\/854 + v. Calculate the common denominator of s and 39\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 190869883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2573 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3592528, -7185255, -10777982, -14370709, -17963436, -21556163?\n\"Answer: -3592727*d + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/121  (b) -2424  (c) 4  (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -230 = -14*v + 736. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (70\/14)\/5*9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/10 + 1990\/(-550) - -4. What is the second biggest value in -23, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*n**3 + 0*n**2 + 67*n**3 - 39*n**3 + 3*n**2 + 26*n**2.\nAnswer: -14*n**3 + 29*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9612 by 89.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 5:20 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3350282623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -753 or -811?\nAnswer: -753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.042 times 0.94?\nAnswer: -28.23948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 13 + 3 = 3*f, -5*z - 6 = 4*f. What is the units digit of (8\/(-4))\/(2\/f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -4*x**2 + 10*x. Let i(f) = -f**2 + 3*f. Let p(c) = 10*i(c) - 3*n(c). Does 8 divide p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 655 and 35?\nAnswer: 4585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 117281052 and 6244?\nAnswer: 117281052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.0704 times 104916\nAnswer: -7386.0864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 3*j**2 + 56*j + 39. Let y be r(-18). Suppose -301 = -y*t - 3*m + 326, -m = 1. Calculate the lowest common multiple of 2 and t.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-200)\/135*(-6 + 3)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + -9da7?\nAnswer: -9dab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -6, 0, -2\/3, 4, -2, -90.399, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0008271 rounded to 5 decimal places?\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/4*44\/33. What is the greatest common factor of 6 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (242\/31 + -8)\/(-3)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 6 = 2 - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 977 - 694. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5474061 rounded to three dps?\nAnswer: -1.547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 20 divided by -10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -37*t**3 + 15*t**2 - 5*t - 12. Let y(s) = -21*s**3 + 8*s**2 - 3*s - 7. Let h(u) = -4*v(u) + 7*y(u). Determine h(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32\/(-64) - (-7)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, 172, -4, 0, 3\/2, -208?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/((-1)\/(-3 - -14)). Let b(r) = r**3 - 25*r**2 + 65*r + 43. Let g be b(f). Are 20 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10 + 11640\/1035 + (-4)\/3)*-1. Which is the nearest to 2\/7?  (a) -2\/7  (b) o  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 80586 + -56965. Is 79 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*g**4*l**3 - 320*g**4 - g**3*l**2 + 6621*g**2*l**3 wrt g?\nAnswer: -216*g*l**3 - 7680*g - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + h = -58. Let f = 92 + h. Suppose 0 = -5*a - 2*l + f, -a + 5*l = 2*a - 39. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 5477*c**2 + c - 6. Suppose 7*a - 840 = -0*a. Let j = a + -122. Let v be t(j). Round v to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 4d0bd81?\nAnswer: -4d0bd7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from ccccicccccccpp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 126172874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/10600 and 16\/3975?\nAnswer: 31800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 1 = -2*k. Suppose -k*h = -2 - 7. List the prime factors of 19\/h - 3\/9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y = 27*y - 63. Suppose y*l - 218 = -c, -210 = 4*l - 7*l - 3*c. What is the remainder when l is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -37562 + 113945. What are the prime factors of h?\nAnswer: 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 43746 or 43747?\nAnswer: 43746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 309*o + 6*o**2 - 11*o**2 - 11*o**2 - 311*o.\nAnswer: -16*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.009 and 0.07.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (75\/50)\/(6\/44).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 - -2.1. Let z = -4067\/2 + 1952. Let j = 83 + z. What is the nearest to t in 1, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*y**(-1))*y**(-2)\/y)\/((y\/((y\/(y\/(y*y*y**(-1\/2))))\/y))\/y)**(-1\/24) assuming y is positive.\nAnswer: y**(-97\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -948343, -948339, -948335, -948331, -948327?\nAnswer: -948323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -40 - 36 - 2 + 19 + 9*r. Let z be c(7). Let m be 6*(-1)\/z*-20. Calculate the highest common divisor of 330 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000000175424 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (30\/8)\/((-3990)\/(-11704))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*p + 6 = -0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -61148, -60464, -59318, -57704, -55616?\n\"Answer: s**3 + 225*s**2 + 2*s - 61376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*b*i**2 + 66*b*i*j**3 + 20*b*i*j**2 + 4*i**2*j**3 + 25*i**2*j**2 - 2*j**3 wrt j.\nAnswer: 396*b*i + 24*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -1\/6  (b) 1\/3  (c) 0.3  (d) -1  (e) -2535\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-4\/5)*r)**(-50) assuming r is positive.\nAnswer: r**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 74061 at most as big as 74047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 28893\/3636 - (24 - 16) and 67\/20?\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 5:45 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/1)\/((-332)\/83)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of -4\/7*l**3 + 4\/7*l**2 + 0*l**4 + 0*l + 4\/35*l**5 - 1. Determine o, given that f(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -4*t**2 + 5*t + 84. Give z(-9).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -53  (c) -7  (d) -1\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*g**3 - 70*g**3 + 3*g**2 - 3*g**2.\nAnswer: -44*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*q**3 - 11*q**3 + 20*q - 256*q + 81*q + 78*q + 77*q.\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.3, 28, -0.5, -12115 in descending order.\nAnswer: 28, 0.3, -0.5, -3, -12115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -8752*o - 39. Let j be q(-10). Suppose -5*g = 5*a - j - 16929, 5*a = 5*g - 104380. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -7*d**2. Suppose 0 = -2*u - 173 + 177. Let p(o) = 47024 - 7*o**u - 47024. Give k(p(b)).\nAnswer: -343*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 + -1)\/((-1)\/(-2)). Suppose r*x = 2*x. Which is the second smallest value?  (a) x  (b) -2\/5  (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22819.908 + 21521.4. Let a = -1301 - y. Round a to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y**(-1\/12)*y*y*y\/(y**6*y)*y assuming y is positive.\nAnswer: y**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-847)\/210 + (2 - -2))*-4. Let i = -5 + 9. Let a be ((-2)\/(-12))\/((-2)\/i). Put -0.2, x, a in descending order.\nAnswer: x, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -781 and -4?\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of 0*a**3 - 1\/6*a**4 + 3*a + 0 + 0*a**2. Let l(x) = -x. What is l(b(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*g + 2*g + 203*g**2 + 250*g**2 - 430*g**2.\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*b**2 + 81*b**2 - 2*b**2 as k + s*b**2 + u*b and give s.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 24 - (6 + -17 - -37).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -201\/152 + 18\/19. Sort -0.3, c, 3 in descending order.\nAnswer: 3, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -4, 18*z - 4*q - 1350 = 20*z. Is z != -666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -924 = -2*p - 0*p + 4*h, 0 = 3*p + 3*h - 1386. Let v(z) = z + 192. Let l be v(6). What is the highest common divisor of l and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 1  (c) -3  (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/7 + 585\/315. Let h(q) be the third derivative of 1\/15*q**5 + 0 + 0*q**4 + 1\/60*q**6 - 28*q**t + 0*q**3 + 0*q. Factor h(u).\nAnswer: 2*u**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (26 - 26) + (-5 - (0 + -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - (sqrt(117) + 0)**2) + 6*(sqrt(13) + 2)**2.\nAnswer: -15 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 11:38 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 13*o - 7*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 - 2*z**2 - 41*z + 90. Determine m(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 104 and 1145784.\nAnswer: 14895192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 8, b: 1, j: 4}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -197*g - 135 = -224*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 11 - 86*m.\nAnswer: -86*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {j: 1, h: 1, g: 1, s: 1, d: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1246 in -4, 2\/13, -1\/178, 2\/19, 0, -0.08?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/4, 5, -0.2, 2.1, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -11, -42, -71, -98, -123, -146?\n\"Answer: l**2 - 34*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1001 (base 4) to base 13\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3\/7, -2, -40, 4 in descending order.\nAnswer: 4, -3\/7, -2, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*j**5 + 760470*j**4 + 45962665*j**3 + 218215680*j**2 - 193038380*j - 71900400 = 0. Calculate j.\nAnswer: -55, -6, -2\/7, 1, 21788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 - 3*v**2 - 3*v. Let o(y) be the second derivative of y**4\/12 + y**3\/6 + 11*y. What is 6*o(a) + 2*z(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/19, 5781, 0.4, -1\/11, 0 in ascending order.\nAnswer: -2\/19, -1\/11, 0, 0.4, 5781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4181 and 1.27?\nAnswer: -5309.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -32?  (a) -535\/3  (b) 1  (c) -0.2  (d) -1\/2  (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 5 = -5. Suppose -3*k - 13 - y = 3*v, 0 = 4*k + v + 20. Let h(b) be the first derivative of -b**3\/3 - 7*b**2\/2 - 7*b - 16. What is h(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 22*z + 3 + 9*z - 30*z. Suppose -3*q - 3 = -3*n, 0 = 4*n + 16. What is p(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 145 or 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-7)\/6 - (-3)\/(-9))*-18. Let k = 43 - z. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 166668 + 121274. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0607 * -106.\nAnswer: 6.4342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -18, 723393, 3, 4\/3, -2\/5.\nAnswer: -18, -2\/5, 0.3, 4\/3, 3, 723393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 277?  (a) -2\/21  (b) 0  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 260 - 104. Let t = w + -81. Let i = t - 40. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 45659097?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + d**2 - 7 - 5 + 3*d)*((-5*d + 2*d + d)*(0*d - d + 2*d) - 3*d**2 + 2*d**2 - 2*d**2).\nAnswer: -5*d**4 - 15*d**3 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -343 + 583. Calculate the lowest common multiple of 48 and (18\/(-10))\/((-36)\/c).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 3*u**2 + 6*u + 1. Let q(z) = z**3 - 4*z**2 + 2*z - 1. Let k be q(3). List the prime factors of m(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z + 6. Let k be j(-6). Suppose 5*a + k + 28 = 0. Let s(d) = 4 - 5*d - 4*d - 8*d - 2*d + 20*d. Calculate s(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9425 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((8\/6)\/((-9248)\/10404))\/(2\/(-88)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 694.1048ml to litres.\nAnswer: 0.6941048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - 1. Let u be 1\/(1\/8*-1). Let q be (-2)\/u + 1201\/m. What is q rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -158917 less than -146195?\nAnswer: 12722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18321?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -2*x**3\/3 - 478*x**2 - 75502*x\/3 - 323890 = 0.\nAnswer: -661, -35, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-22)*1606\/(-1460).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39406 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 x(g) = -89*g - 4. Let l(f) = 1. Calculate 5*l(t) + x(t).\nAnswer: -89*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -10. Let r = 0.73249 + -0.43249. Which is the smallest value?  (a) r  (b) 0  (c) n  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*d + 4*m + 18, 2*d = -4*m + 2 - 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*i + 143 = -92*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 126, 262, 398, 534, 670, 806?\n\"Answer: 136*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -472 - -702. Suppose -17*z + 12*z + d = 0. Suppose 0 = k - n - z, -3*n + 8 = -5*n. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -111040147*x**2 - 9407637*x - 2 wrt x.\nAnswer: -222080294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -130 divided by 26\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -28291339, -28291341, -28291343?\n\"Answer: -2*j - 28291337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 43 = 5*d + 9, -f + 53 = -4*d. Calculate the least common multiple of 63 and f.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 25*r**2 - 10*r**2 - 13*r**2. Let w(y) = y**2. Calculate w(h(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a. Let w(h) = 409*h**2. Calculate j(w(z)).\nAnswer: 409*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + d + 9, 5*f + 5*d - 45 = 0. Suppose 216 = m + m. What is the greatest common factor of f and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22125 - -89430.3?\nAnswer: 111555.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 661782022?\nAnswer: 2, 11, 30081001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (84\/105)\/((-66)\/15)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1790034 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/4*(-1 - 1). Let l(p) = 2*p**2 + 1. Let k be l(-1). Let y = k - 2. Solve c*u - 2*q - 8 + y = 0, -3*q = 3*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes after 6:30 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 5, t: 4, j: 5}. Give prob of sequence tjt.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4\/4)\/1)\/((-30)\/10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 16. Let l = 2.7 + r. Let s = 18 + -15. Which is the second biggest value?  (a) s  (b) 3\/5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from jggjgggggggj.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/4 of a meter in centimeters?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 317299903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-60)\/(-1050)*-7*-2*10*-4?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 1. Let u = 225.255 + -229.255. What is the closest to j in 1, u, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r. Let o(w) = 9*w**2 - 6. Suppose -3*s + 5 + 1 = 0, -32 = -5*y - s. Let v(d) = -d**2 + 1. Let j(p) = y*v(p) + o(p). Determine t(j(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/191 and 38\/5.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -b010b (base 15) to base 12\nAnswer: -22a49b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 51*k - 301. Calculate t(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 AM and 12:20 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1440, 2228, 3018, 3810, 4604?\n\"Answer: s**2 + 785*s + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.039 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are -7\/29 and -1632 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69 = -21*x - 321 - 105 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 0*g - 3*g = 0. Let y = g + 12. What is the remainder when 35 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 6*z - 16. Let a be 2 + (-12)\/3 + 6. Suppose -1 = -a*k + 3*k. What is the smallest common multiple of z and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 17961, -1\/2, 11.3, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(((-36)\/(-20) - 3) + 1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 5) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-126*h**4 + 57*h**4 - 125*h**4)*(112 - 5*h - 112).\nAnswer: 970*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5 - -4 - 20\/5. Let k be (-8)\/r*15\/6. Is -8\/3 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107603965 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -v - 4*f + 12, -4*v - 5*f + 18 = 0. Let w(z) = 3*z**2 + 3*z**v - 2*z**2 + 8*z**2. Let l(s) be the first derivative of s**2\/2 - 19. Give l(w(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - f + f)*(-1 + 0 + 4)*((1 + 2*f - 1)*(-3*f - f + 2*f) + 2*f**2 + 2*f**2 - 3*f**2 - 4 + 4 - 4*f**2).\nAnswer: -42*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32.000071 + -32. Round w to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 168924 and 1113.\nAnswer: 8952972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000086422768 to 7 decimal places.\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2*g + 1 = 0, 0 = -0*g + g - 1. Suppose 4*x + f*n = 684, -2*x + 5*x - 512 = -2*n. Suppose -6*r + x = -3*r. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6\/7?  (a) -0.4  (b) -2  (c) 333\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -11*b + 6*b. Let x be -1*(-7)\/b + -3. What is the third smallest value in -2\/21, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of -x**9\/3024 - x**5\/60 + x**3 + 2*x. Let b(n) be the second derivative of t(n). Find the second derivative of b(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -3*y - 2. Determine g(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 78120 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 258189277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -48204 + 81733. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 157210935 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 - 118 = -5*q + 69 + 13 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -304850, -609699, -914532, -1219343, -1524126, -1828875?\nAnswer: -2133584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1875 and 55125?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 318 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 15814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -52*h**3 - 94*h**2 + 22*h**3 + 27*h**3 in the form z*h**3 + x*h + g + y*h**2 and give y.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -5*j + 203. Let v be u(0). Let t = 678 - v. Does 27 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 + 13*u - 5. What is b(-5)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 296*m + 295*m - 12185, 0 = 2*k + 3*m - 8138. What are the prime factors of k?\nAnswer: 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 69*o**2 + 3*o - 2. Calculate f(-1).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express d**3 - 1 + 4*d**3 - 2*d - 3*d**3 as u*d**2 + i*d + n + p*d**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 928 and 87?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 6:13 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2 + 8*y + 86. Let o be x(-6). Let l(s) be the first derivative of 0*s + 2*s**o - 4\/3*s**3 + 8. What is the second derivative of l(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (1 + 3*((sqrt(17) - -2*sqrt(17)) + -5)**2 - (5*sqrt(17) + -5 - (1 + sqrt(425)))).\nAnswer: -90*sqrt(17) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 52\/84 - (-43)\/(-129). Let x = 143 - 100. Let r = x - 173\/4. Which is greater: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2916, 3041, 3308, 3789, 4556?\n\"Answer: 12*f**3 - f**2 + 44*f + 2861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.9 + 1. Let v = f + -0.2. Which is greater: v or -1\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -104.8467 rounded to one dp?\nAnswer: -104.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 7*w**2 - 5*w + 3. Let n be h(5). Let k = n - 86. Suppose a - k + 9 = 0. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2069873 is divided by 89985.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 13*c - 6. Let s(z) = -29*z + 15. Let w(m) = 5*q(m) + 2*s(m). Let j(u) = -78*u**2 + 2*u. Give w(j(d)).\nAnswer: -546*d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2680313 is divided by 401.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w + 702 = 30*w. What is the remainder when 116 is divided by w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 3*t = -39677, -100*h + t + 79319 = -96*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of -229*w**3 + 3*w**2 + 5*w + 3. Let p be g(-2). Let n = -3045 + p. Round n to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, c: 1, l: 2, q: 3, a: 3, o: 2}. What is prob of sequence alqd?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-2*-3*(sqrt(1331) + -1))**2 + (-4 + sqrt(1331) + sqrt(1331) + 0 - sqrt(1331)*1*-4)**2*-4)*2 + -3.\nAnswer: -287549 + 2640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.9?  (a) -0.1  (b) -4  (c) -31\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 352 and 9280?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.18 times 4.5?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2. Let c(m) = -3353802*m**2. Determine c(g(s)).\nAnswer: -3353802*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/(y\/(y*y**(5\/2))))*y*y*(y\/y**(1\/35))\/y)**(-2) assuming y is positive.\nAnswer: y**(37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vevveevvveeevvgevvve. What is prob of sequence gvv?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9189*s**3 - 7740*s.\nAnswer: -55134*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -673208*x**3 - 11987 + 673209*x**3 + 11987.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1467 is divided by 181.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/16*-2*(-156)\/(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 432 - 398. Calculate the highest common factor of k and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -4, 7*t + 3*x - 28 = 2*t. Suppose 2*m - n - 8 = 0, -4*n = 4 + 4. Which is the second smallest value?  (a) t  (b) m  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -197198 = -7296310\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**43*s)\/(s\/(s*s*s**4)))**(-3\/13))**(-1\/22) assuming s is positive.\nAnswer: s**(147\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12844 and 49348.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r**(-13)\/r)\/r*r)\/r)\/r*(r\/r**(8\/7))\/r)**(4\/15)*(r**(-3\/10)\/r**(-3\/4))**(-2\/17) assuming r is positive.\nAnswer: r**(-5503\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s - 8. Let o be y(-11). What is q in 74*q**3 - 69*q**3 - 59*q**3 - 72*q**2 - 26*q + 27*q**4 - o = 0?\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 7:22 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1509 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -552 or -186421\/337?\nAnswer: -552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 230 (base 5) to base 6.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 179548139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.5807132 rounded to two dps?\nAnswer: -10.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((s*s*s*s**(1\/2)*s)\/s)\/s*s)\/s)**(-48))**27\/(s**(-4)*s**(-3)*s**(-2\/7)\/s**0) assuming s is positive.\nAnswer: s**(-22629\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 25\/25 + (-3)\/6*-2. Let c be 4 - -5 - 3 - (4 + h). Solve -u + 5 - 4 = c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1066658056?\nAnswer: 2, 133332257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8b001 + 3?\nAnswer: 8b004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 21.7?\nAnswer: -86.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 28687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 6148696 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 + 30*a - 15.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11)\/55*45\/(-6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 5, -2*n + 5*z - 6 = 11. Let x(k) = 2*k - 5. Let l be x(n). Which is the second biggest value?  (a) 3\/4  (b) l  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(-1))*t)\/(t\/t**(-9\/5)))**30 assuming t is positive.\nAnswer: t**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2. Let o(m) = 39 - 1896*m + 49 + 41 - 129. What is j(o(v))?\nAnswer: -3594816*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001032112 to seven dps.\nAnswer: -0.0001032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 331 = 9*r - 20. Suppose 17*x = 4*x + r. Solve 0*j - 3\/5*j**4 + x*j**3 - 18\/5*j**2 + 0 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(4 + 3 + 0)*(-77)\/11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + 3\/(-1) + (26 - 0). Suppose -l = -v - 9. Calculate the remainder when (-18)\/(-5) + (-9)\/v - -27 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13514573 to the power of 1\/2, to the nearest integer?\nAnswer: 3676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c - -210?\nAnswer: 21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/14)\/((-135)\/630).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 575528957 to the power of 1\/3, to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07075124 times -0.1?\nAnswer: 0.007075124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 271 = -8438 + 717. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 24. Suppose -1 = 15*t - w*t. Let y be -4*1 + (-2)\/t. Sort y, -3, -1.\nAnswer: y, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 8*b**2 - 5*b + 7. Suppose -3*a - 95 = 5*p - 92, a = 5*p + 39. Let m(u) = -23*u**2 + 15*u - 20. Determine p*m(c) - 17*v(c).\nAnswer: 2*c**2 - 5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of -q**5\/30 - 10*q**2 - 2*q. What is c(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence blxo when four letters picked without replacement from ooxlyxozxxxbyol.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20 - -55. Suppose -j + 6*j = 80. Let p = x - j. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssudaasgesdu. Give prob of picking 1 u and 1 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1900879 + 1900879 - 1127*i)*(-3*i - 2*i + 2*i).\nAnswer: 3381*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + 141.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.21878 rounded to 3 decimal places?\nAnswer: -0.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 12*a + 98. Let w be c(-19). Let n = w + 130. Solve 4*l + l - 20 = n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*v - 791 = -191. Solve -3*b - 2*k - 2 = 0, -b - 17*k + v = -13*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 10) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 866672179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 PM and 2:07 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.5  (b) 3474  (c) -5  (d) -3  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g**3 - 3*g**2 - 3*g**3 + 0*g**3 - g + g**3 - 2*g + 2*g + 2*g**3 - 6*g**3 + 2*g**3 + (-2*g + 2*g + 2*g**2)*(3*g - g - 3*g).\nAnswer: -4*g**3 - 3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 + 2*a**2 + 3*a + 22. Determine d(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*u**2 + 44840*u - 134538 = 0. Calculate u.\nAnswer: -22423, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ei when two letters picked without replacement from iitoe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-3))\/2*318\/424.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 2 = 2*t, 29 = l + 5*t - 0*t. Let o(q) = -6*q + 4*q + 1 + q. Let x be o(1). Solve b + x*b - 2*u + l = 0, -2*b + 13 = 3*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (21\/(-9))\/((-1496)\/561)*-16\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = 2*n + 4*d + 4, -3*d = 2*n + 6. Suppose -2*k = 2*k. Let c be (k\/(-2))\/(12\/n). Is 6\/5 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 4*g - 50 = 0, -15113*a - 50 = -15108*a - 2*g for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 - 20. Let a be (2\/(-6))\/(1\/w). What is the tens digit of 4\/a*(2 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1721 + -1672. Let d be (8\/(-5))\/(f\/(1470\/(-36))). Factor -2 + 11\/3*m - 1\/3*m**3 - d*m**2.\nAnswer: -(m - 1)**2*(m + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -4bb1795?\nAnswer: 4bb1793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/9*g**4 + 0 + 1\/9*g**5 + 1\/9*g**2 - 1\/3*g**3 + 2\/9*g.\nAnswer: g*(g - 2)*(g - 1)*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12\/1373 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 + 16*q - 1943. Let o be g(43). Which is bigger: o or -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14937334 is divided by 869.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 take away 2205384721328?\nAnswer: -2205384721326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 2 + 0 - 11 - 4 + z. Let m(v) = 2*v - 26. Let b(j) = -3*m(j) + 7*x(j). Let u be b(9). Let y(p) = -3*p - 6. Calculate y(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - (1 - (-4 + -2)). Let h = -5 - x. Suppose -75 = -5*o - 0*o. Calculate the remainder when o is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -194*l. Let k(a) = 32*a. Let g(z) = 6*z. Let h(n) = 6*g(n) - k(n). What is r(h(o))?\nAnswer: -776*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 + 6*j**2 - 5*j - 1. Let v be n(5). Let q = v + 0. Let f = q - -9. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 180, 764, 1750, 3138, 4928, 7120?\nAnswer: 9714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2*z**2 + z**2 - 2*z**2)*(-2*z - z + 7*z) + 3*z**3 + z**3 - 6*z**3)*(0*z - z - z) to m*z + j + p*z**3 + t*z**4 + k*z**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, -1\/15, -2\/13.\nAnswer: -2, -1, -2\/13, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f**3 - 5*f**2 + 3*f - 4. Let a be l(5). Suppose 4*c + 2920 = t + 3*t, 4*t - 2923 = c. Let m = t + a. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1870*x + 1873*x = 2*p - 1821, 0 = 5*x + 5. What are the prime factors of p?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1900 = 14*t - 4*t. Does 21 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.6 + -0.4. Let y = -70.293 + 70.693. Let d = -19 - -18.9. What is the closest to 0.1 in x, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29336301907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, s: 2, f: 4, y: 1, z: 3, b: 6}. Give prob of sequence yf.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 143289, 286819, 430349, 573879?\nAnswer: 717409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 96.595 + 2.307. Let s = y + -99. What is s rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -50*y**4 + 36160*y**3 - 6523248*y**2 - 5235968*y - 1048352 = 0. Calculate y.\nAnswer: -2\/5, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6521.2239 - 3254641?\nAnswer: -3248119.7761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in 0, 2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -11845, -11679, -11513, -11347, -11181?\n\"Answer: 166*m - 12011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 + 24*r + 6. What is w(-22)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -i**3 + i**2 - i**2 - 2 - 3*i + 0 - 2 + i**4 - 4*i**2 in the form v*i**3 + y*i + c*i**4 + j + r*i**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence po when two letters picked without replacement from nonlldlnndlldddlpdlo?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-71221.\nAnswer: 21366.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*w + w + 5*w in the form v*w + p and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -1 - h**3 - 17*h**2 - 6 - 4*h**2 + 10. Let p be j(-21). Let u(f) = -6*f + 6*f + f**2 + 10*f**p - f. Give u(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -396  (b) -1  (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/20*-10*322\/759*11\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + -3. Let f = -2 - d. Does 4 divide (-69)\/(-9) + f\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1198 - 1015. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zuoicwwiicccczz. Give prob of sequence ii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 1024.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20202012101 (base 3) in base 14?\nAnswer: 36595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 4*u + 32262 + 27954, -3*q = 4*u + 60214. Round u to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/2 and 103\/2161288?\nAnswer: 2161288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**3)**(-3))**(9\/2))**29 assuming j is positive.\nAnswer: j**(-1566)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 3*w**3 + 95*w**2 + 237*w - 812. Give c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8.92043us?\nAnswer: 0.00892043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b2919d90 - 5?\nAnswer: b2919d89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0, 17, -0.3, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-52)\/(-130))\/(120\/(-50))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -30*q**5\/19 - 7616*q**4\/19 - 464374*q**3\/19 + 2802012*q**2\/19 + 47560752*q\/19 - 6390144\/19 = 0?\nAnswer: -129, -8, 2\/15, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or 211\/128?\nAnswer: 211\/128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3581 - -4?\nAnswer: 3585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8*(2 - 24\/15)*245\/98. Suppose 0 = 5*z + 5*r + 10, 0*z + 4*r + 8 = 5*z. Solve 4*p - 4*o = -4 - h, z = 2*p + 3*o - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 4*w + 68. Suppose -8*h + 20 = -w. Let m(n) = -h - 12*n + 9*n + 10. Let p(v) = -2*v. Calculate -3*m(u) + 4*p(u).\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 83819 or 83815?\nAnswer: 83815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 + 28*j**2 + j - 22. Calculate t(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 3*h**5\/2 - 75*h**4\/2 - 48*h**3 + 234*h**2 = 0.\nAnswer: -3, 0, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1219287973\/8457 + -144175. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -520247 divided by -205\nAnswer: 520247\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 65*r + 31. Suppose 15 = 3*l - 3*n, -15 = -3*l + 2*n - 6*n. Suppose -3*j + 6*f = l*f - 23, 0 = 2*j - 2*f - 14. Is z(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**2\/8 - 513*o\/2 - 9315\/2 = 0.\nAnswer: -18, 2070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3002985.20197 + 3002972. Let d = -54 + 67.2. Let l = g + d. Round l to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**4\/5 - 4*s**3\/5 - 3*s**2\/5 + 2*s\/5 + 1\/5.\nAnswer: (s - 1)**2*(2*s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-1634747.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 82375 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - ((-17)\/26 + (-3)\/6). Sort 0.2, -3, o in descending order.\nAnswer: 0.2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 - 4*s**2 + 14. Let z be d(-7). Suppose 617 = 6*m + z. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18656212 - 9543788. Round m to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.0306202  (b) -4  (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 163848 less than 0.09?\nAnswer: -163847.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 12:59 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**4 - 38*j**3 + 1763*j**2 - 12060*j.\nAnswer: -j*(j - 20)*(j - 9)*(j + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y. Give b(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -269980, -1079902, -2429772, -4319590, -6749356, -9719070, -13228732?\nAnswer: -17278342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = 12*x + 148. What is the closest to 1\/5 in 3\/5, 3, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hmxrpppp. What is prob of picking 1 p, 1 h, and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*v = 6*v - 0*v + 56. Put v, -2, -23 in decreasing order.\nAnswer: v, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + 8*d - 25. Give z(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 - (12\/6 - (3 + 0)). Suppose -t + 3*o - l = 0, 5*t - 10*t + o = -51. Which is the fourth smallest value?  (a) t  (b) -1\/8  (c) -0.5  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 5*m. Let a(q) = q**2 + q. Let b(t) = -t**3 - 17*t**2 + t + 15. Let s be b(-17). Let k(j) = s*a(j) + p(j). Find the second derivative of k(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 447800.54 minus 0.3?\nAnswer: 447800.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 127*q - 126*q + 293, 6*q = -2*u - 206 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -727*q**5 + 130*q**2 + q.\nAnswer: -43620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkpkppkkkkkkkk. What is prob of sequence kpkk?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -165 = y - 3*a, 2*y + 5*a = 12 - 298. Let w = 3691\/192 - 153\/64. What is the common denominator of -2*(0 - y\/(-132)) and w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 - 3*v**2 - 11*v + 2. What is the units digit of f(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37.1 + -37. Let p = 2 + -1.9. Let o = 0.1 - p. Which is bigger: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-60 - 56 - 43)*(-3*f**4 + 5*f**4 - 3*f**4).\nAnswer: 159*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - 6*i - 1. Let p be ((-2)\/4)\/(1\/(-12)). Calculate z(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -308423664 to the nearest 100000.\nAnswer: -308400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3172 and -4.\nAnswer: -3176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 2*q - 59 = 0, 4*r - 12*q + 7*q = 288. What is the highest common factor of 4891 and r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -120389 and 0.572.\nAnswer: -68862.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 d when three letters picked without replacement from {d: 4, m: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 1. Let k = 1.3 + p. Let j = -0.7 - -0.9. What is the closest to j in 1\/2, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.045 in 1\/4, -1, -2\/3, -6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9497 is divided by 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6232.9 - 0.45.\nAnswer: -6233.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from dkklkdledd?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 552453*-4.99.\nAnswer: -2756740.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 162*g = 1311 + 394. Solve -10*k = -21*k + g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18243 + 70144334\/3845. Is n >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-204)\/18*((-230)\/140 + 3\/21).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46 = 5*v - 9*w, 0 = -v + 3*w - 51 + 65 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -5*i + 41. Let n(b) = -51*b + 411. Let c(h) = -21*d(h) + 2*n(h). Calculate the remainder when c(14) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5341 (base 9) to base 4\nAnswer: 331111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the third derivative of -r**6\/360 + r**5\/120 + 5*r**4\/24 - r**3\/3 - 2*r**2. Let p(v) be the first derivative of c(v). Let j = 2 - -2. What is p(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24663 and 21382821?\nAnswer: 21382821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-1*sqrt(500) + -4 + 1*sqrt(500))**2.\nAnswer: 240*sqrt(5) + 4516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 289  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -6. Let w be ((-420)\/63)\/((-2)\/6). Solve -4*p + 0*p + w = l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -184315  (b) 110  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 - 9*m**2 - 2*m + 37. Give n(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -80, -86, -94, -104, -116?\n\"Answer: -p**2 - 3*p - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 17319?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z + 3*z - 2*z + (z + 0*z - 2*z)*(-3 + 0 + 4) - 20*z - 24*z + 26*z)*(-2*z**4 + z**4 + 0*z**4).\nAnswer: 21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does -521 = -502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19 - -8) + (-8 - (-7 + (-3 - (-7 - 4)))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-46*r + 52*r + 272*r)*(-2*r - r + 4*r)*(-2*r**2 - 5*r**2 + r**2) in the form a*r**2 + w*r**3 + s*r**4 + p + y*r and give s.\nAnswer: -1668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1133313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 - 8.99999954. What is k rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from issstssshht. What is prob of picking 2 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - 2)*-10 - 2. Let k = -18 + 13. What are the prime factors of (n\/k)\/((-3)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 105642951 to the power of 1\/2, to the nearest integer?\nAnswer: 10278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/2?  (a) 2\/5  (b) 0.08  (c) 1\/2  (d) 42  (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*t = t + 9384. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 22*d**3 - 1158*d**3 + 10 - 2.\nAnswer: -1136*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39700 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - ((-6)\/6 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 384133291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*z = -292*z + 7277 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 1 = 2*w - 4*w, 5*w = j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = -10*p + 13*p - 16, -4*c + 2*p = -57 + 81 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*i + 6066 = -63*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2942\/45955 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 - 5*c + 4. Let t be m(-5). Solve t*d + 0*d + 2*r = 20, d - 4*r = 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10194.8*-45\nAnswer: 458766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 + 50 + 52)*(-n + n + n).\nAnswer: 81*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + x**2 - 11*x**2 - 3.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2947392 = 153*l - 90*l. List the prime factors of l.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -44.7, -4, -24.\nAnswer: -44.7, -24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of i**7\/420 + i**5\/40 + i**3\/6 - 7*i**2. Let y(s) be the first derivative of d(s). What is the second derivative of y(h) wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 577.4656 nanometers in meters?\nAnswer: 0.0000005774656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -31*m + 4746. What is r(150)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 964 = 2*g. Suppose 0 = -4*c - 4*t + g - 33, 0 = -5*t. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -6, 1\/2, 0.136?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35 - 2*r - 18 + 0*r + 15*r**2 - 48.\nAnswer: 15*r**2 - 2*r - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 161, -4, -7, -3, 1 in increasing order.\nAnswer: -7, -4, -3, 1, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 304, -7, -0.5, -2, 1\/4, 1 in increasing order.\nAnswer: -7, -2, -0.5, 1\/4, 1, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away -25003259?\nAnswer: 25003256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.09876289 to three dps.\nAnswer: -3.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -2.6466.\nAnswer: -1.05864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 2 + (sqrt(52) + -1)*4)**2 + 2.\nAnswer: -32*sqrt(13) + 838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.137 and 88498.\nAnswer: -12124.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1308 + 98 = -10*r. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 56 in -137, -0.04, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 90190 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 2. Let t = 20030161 + -20030163.0000006. Let c = r + t. Round c to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1244905\/245904 - 1\/15369. Let i = 9344157\/11353030 - -2\/87331. Let a = 12\/13 - i. Calculate the common denominator of o and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 192 - 193.99. Let y = -0.01 + f. Are -0.03 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 70.24239 years?\nAnswer: 0.07024239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5133 + 101054?\nAnswer: 51521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = -4*b + 329. Let v(x) = 1841*x - 10842. What is the remainder when v(6) is divided by b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1\/5, 2\/3, 1\/8, 13?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 72  (b) 0.4  (c) 15  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 7*c**2 + 5*c - 6. Let u be o(-8). Let z = -692 - -818. Calculate the greatest common factor of u and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 - 9*k**2 - 9*k - 4. What is n(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**5\/7 - 4120*o**4\/7 + 2950*o**3.\nAnswer: -2*o**3*(o - 5)*(o + 2065)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(1\/4)*j**(4\/5)*j**(3\/4)\/((j*((j**(1\/2)*j)\/j)\/j)\/j)*(j**(-1)\/(j\/(j**(-2\/9)\/j)))\/(j**(-1)*j\/(j**(1\/4)\/j)) assuming j is positive.\nAnswer: j**(-301\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2*l + 52. Let k(d) = 2*d. Let m be k(0). Let a be p(m). Calculate the highest common factor of a and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) -0.2  (c) 0.5  (d) 2  (e) 0.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 602*n**2 + 13. Let p(k) = 2*k. Determine p(d(i)).\nAnswer: 1204*i**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1983 by 1983.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -303, -2739, -9519, -22857, -44967, -78063, -124359?\n\"Answer: -369*n**3 + 42*n**2 + 21*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 120 + -396. Find the common denominator of b\/36*(-6)\/28 and 133\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 - 2896340364\nAnswer: -2896340363.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6611 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -375.298 - -375. Let c = -2.298 - p. What is the second biggest value in c, 0.6, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1094*u = -1100*u + 420. What is the remainder when 482 is divided by u?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.467185 + 0.627224. Let n = -0.84 - u. What is n rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 173*n**2 + 9 - 172*n**2 - 15*n**4 as h + r*n + u*n**4 + z*n**2 + k*n**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -6*i + 3. Let x be m(1). Let z be 130\/4 - (x\/(-6) - 1). Let u = 49 - z. Solve -p + 2*w - 20 = 4*p, -4*p - u = w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34028 is divided by 415?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -43966*0.1\nAnswer: -4396.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 457*r - 2*r**2 + 305*r - 743*r.\nAnswer: -2*r**2 + 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -7*x**3\/2 + 11*x**2 + x - 38. Let y(l) = 62*l - 68. Let k(f) = -14*c(f) - 4*y(f). Find the first derivative of k(h) wrt h.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than -4\/6033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/2)\/l)**(-35)\/(l**0)**(-31))**(-29) assuming l is positive.\nAnswer: l**(-1015\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 87319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -367*c**3*v**4 - 11887*c**3*v**3 - 317403*c**3*v**2 - 13 wrt v?\nAnswer: -8808*c**3*v - 71322*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 18*c - 1. Let z be u(1). Let k = z - 16. Calculate the least common multiple of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - 17*n**2 + 71*n + 5. Let b be h(11). Suppose -b = -2*s - 12. Calculate the least common multiple of s and 52.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6614188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = 3*m + 9, 0 + 24 = 4*m - 5*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -661263, -661264, -661265, -661266?\nAnswer: -661267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -244*t**6 + 9*t**2 - 21*t wrt t?\nAnswer: -29280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.18 take away -1.264615998?\nAnswer: 1.444615998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/1)\/(((-1)\/(-42))\/(327\/981)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1267796, 2535551, 3803304, 5071055?\nAnswer: 6338804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 702\/12 + 1\/2. Suppose 5*l + 14 - o = 0. Put -0.2, 1\/4, l, 2\/3 in decreasing order.\nAnswer: l, 2\/3, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c**2 + 20*c + 12*c + 16*c + 11*c - 81*c.\nAnswer: 4*c**2 - 22*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -14 + (-9 - -7) + 29 + -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 PM and 2:43 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 226?  (a) -0.02  (b) 2\/5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -364258, -364285, -364312, -364339, -364366?\nAnswer: -364393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121001012 + 11120210021?\nAnswer: 12011211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 a when three letters picked without replacement from ajjjjjjjaaaaajajjjj.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.980426 tonnes in milligrams?\nAnswer: 2980426000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 317.2026 centuries in years?\nAnswer: 31720.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 617*x - 119*x - 6489 - 1479 = 0 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 8*g = 4*o + 23, -5 = -5*g. Sort -4, 1\/3, o in descending order.\nAnswer: 1\/3, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1080855431 to three dps.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0081154 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67976?\nAnswer: 2, 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4113889.5 days to weeks.\nAnswer: 587698.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l - 2. Let p(t) = 6*t - 6. Let u(s) = 3*o(s) - p(s). Let j(i) = 45*i**2 - 9. Let m(g) = 11*g**2 - 2. Let q(d) = 2*j(d) - 9*m(d). Determine q(u(a)).\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -48231 - -48276. Calculate the lowest common multiple of 395 and p.\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -2*k**3\/7 - 516*k**2\/7 + 8*k\/7 + 2064\/7 = 0.\nAnswer: -258, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 take away 5242150251159?\nAnswer: -5242150251155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 15641007 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (765 - 376 - 374 + 3*y)*(-y**2 + 3 - 3) as n*y + d*y**3 + c + p*y**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 55 = -5*d, 5*y - d - 63 = 13. Solve -5*n + 4*r - 8*r = 25, -3*n - r - y = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*r - 0. Let g be 1\/r - (-15)\/12. Let k = 47 + -37. What is the greatest common divisor of k and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -90.6 - 18.4. Let a = -109.204 - n. What is a rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010010110100011100000 - -1?\nAnswer: -10010010110100011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -3. Let h be c\/(-5) - 21\/(-5). Solve -10 = -2*o, o + o = h*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*p - 12 = 30*p, 5*j = 4*p - 21 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -5 * -0.41\nAnswer: 2.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5058 and 0.4.\nAnswer: 5058.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 663 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (396\/7344*68)\/(2*2\/48).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 450 and 1200?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = 4*r + 20, 3*r - 22*f = -19*f - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 845002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -6. Suppose a*y - d = 11, 7*d + 23 = -y + 2*d. Suppose -4*j = 16, 3*j + 63 = 3*n - y*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -117, -105, -91, -75, -57, -37?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 + (-98 - -102) + 1 + 74?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -70 and 366824?\nAnswer: -25677680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -47*o - 14 + 23535373*o**2 - 2*o**3 - 23535354*o**2 + o**3. Give c(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of -q**3\/3 - 2*q. Let m(l) = -l + 2. Let h(c) = 3*c - 5. Let s(n) = -4*h(n) - 10*m(n). What is u(s(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 - 12*z**2 + 11*z - 6. Calculate m(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 3 c when four letters picked without replacement from ssccjjjcccccjjcu?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1310027 - 3256565 = -59*w - 5*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.021  (b) 113483  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1118929, 1118938, 1118947, 1118956, 1118965?\nAnswer: 1118974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/126 + (-16 - (-2840)\/180). Which is the second biggest value?  (a) 5  (b) -1\/8  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 127\/2079 + 1\/77. What is the common denominator of -31\/3 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32030000101 (base 4) to base 15\nAnswer: 4d6eaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -183, -5, -20693.\nAnswer: -20693, -183, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 3, 1, 140, -1, -90.\nAnswer: -90, -8, -1, 1, 3, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -6*r**3 - 15*r**2 - 67*r + 1. Let n(d) = -5*d**3 - 16*d**2 - 66*d + 2. Let q(m) = -7*n(m) + 6*t(m). What is the hundreds digit of q(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 4*n**2 - 344*n + 7396 = 0.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1.3  (b) 2  (c) 1  (d) 5  (e) -0.4  (f) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*x + 0*x - 2*x - x - 2*x + 2*x + (-5 + 5 - 2)*(-3*x - x + 3*x) + 122*x - 114*x - 418*x)*(5 - 5 + 2) as z*x + o and give z.\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 28030 - 28028.8629. Let y = z + -1.14. What is y rounded to four dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 376111?\nAnswer: 457, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-4))\/(s**(-2)\/s))\/((s\/(s*s*s**1\/s))\/s)**(-4\/3)*(s*s**(-2\/15)*s**(3\/4)\/s)**34 assuming s is positive.\nAnswer: s**(183\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12684960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 66930 by 21.\nAnswer: 22310\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*p - 26 = -47*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3400637, 3400625, 3400605, 3400577, 3400541, 3400497?\nAnswer: 3400445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k**2 - 2*k - 4. What is the units digit of w(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2093889.7732 - 2095593. Let s = l + 1696.2267996. Let p = s + 7. What is p rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkp when three letters picked without replacement from {d: 1, j: 2, o: 1, k: 2, p: 2, f: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -132792992*f**2 + 113130614*f?\nAnswer: -265585984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 - 6) + 1 + -2. Suppose -7589 = m - 2*a - 7565, -5*m = -5*a + 45. Let i = 2 - 3. Put i, x, -2, m in descending order.\nAnswer: m, i, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8370.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 417, 1641, 3661, 6459, 10017?\nAnswer: 14317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 24*l + 6. Let c(n) = 8*n + 1. Let s(f) = -15*f - 2. Let j(b) = -5*c(b) - 3*s(b). Let v(t) = -11*j(t) + 2*r(t). Calculate v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 3 + 2 - 2 - 4*l - l**2. Let t be w(-6). Let g be (-28)\/(-6) - 3\/t. Solve u - g = 0, -2*o - 9 = 4*u - 29 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4819 (base 10) to base 6\nAnswer: 34151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = b + 5*r + 254, 3*b - r - 185 = 0. What are the prime factors of b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12 + -9 + -2 + -27. Let j be p\/(-66) + (8\/6)\/(-4). What is the second biggest value in -0.3, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42 - 77 = 7*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.021105 to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 6426*m - 51122. Give g(8).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 83142 and 35394.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -65 + 120. What is the remainder when y is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/6*243\/81.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h + 12. Suppose -55*b = -50*b - 60. Let m be u(b). Put m, 41, 3, 2 in increasing order.\nAnswer: m, 2, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -237*b - 3 + 9 - 6 as t*b + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2\/15 - 884*q\/15 + 874\/3.\nAnswer: 2*(q - 437)*(q - 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:35 PM and 7:27 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.515457693 rounded to 4 dps?\nAnswer: -1.5155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 139435 and 86110.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 + 7*k**2 + 16*k - 4. Let c be i(-5). Let p = 70 + c. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*(-11)\/(-462) - -4*(-508)\/280 - -7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 2*q = q - 20, -2*q = h - 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.5  (b) -91  (c) 0  (d) -392  (e) 0.1  (f) -5  (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -12*z - 24. Let m be r(3). Sort 2, 5, m in decreasing order.\nAnswer: 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:19 PM and 1:46 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 96921?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 2.3512656 months?\nAnswer: 0.001959388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, -11, 0.0136 in ascending order.\nAnswer: -11, 0.0136, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 6589*z + 322849. What is c(-49)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 36.6059 to one dp.\nAnswer: 36.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3308 and -4.\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 1300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of -s**5\/60 + s**4\/8 + s**3 + 2*s**2. Let t(i) = i - 16. Let u be t(21). Give o(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -82\/1035 and -16 - (110704\/(-6900) - 0).\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 65 + -53. What is the highest common divisor of 96 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -308, -1226, -2758, -4904, -7664?\nAnswer: -11038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.202 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 67*l**5 + 26998*l**3 - 413*l + 39089.\nAnswer: 1340*l**3 + 161988*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9314*x**4 + 11*x**3 + 1187*x - 34.\nAnswer: 111768*x**2 + 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of j**6\/18 + j**5\/15 - 7*j**4\/6 + 4*j**3\/9 + 20*j**2\/3 - 32*j\/3 + 133. Find l, given that i(l) = 0.\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from -1144242.79.\nAnswer: -1144237.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -13, -7, -11, -37, -97, -203, -367, -601?\n\"Answer: -2*g**3 + 7*g**2 - g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 204 = v. Let p be (v\/18 - -3)*-2. Let m be (2\/(-1))\/6 + 1. Which is the nearest to p?  (a) -0.3  (b) 2\/5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 81956 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 - r**2 - 6*r + 6. Suppose 3*z = 2*x - 335, 4*x = -17*z + 19*z + 210. Let o = z - -126. Calculate the remainder when g(4) is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3140 (base 8) in base 11?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2*r**3 + 48*r**2 + r - 19. What is the remainder when (-33)\/(-2) + 2\/4 is divided by j(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -61 - 1527*y + 1528*y - 127 + (-3 - 2 + 7)*(1 - 1 + y) + 0*y + 0*y + y.\nAnswer: 4*y - 188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5\/3, 1\/25, -2\/5, -0.013.\nAnswer: -2\/5, -0.013, 1\/25, 5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 - 1 - -5) + 33 + -7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 101580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of j**6\/120 - j**5\/6 - j**4\/2 + 13*j**3\/6 - 8*j**2. What is the remainder when p(11) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-10)\/2 - (-5844)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 8:23 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 112*a**2 + 18*a + 79. Is r(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 398, 399, 400, 401, 402?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 690011459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ajjaaaaaaaaj. Give prob of picking 1 a and 2 j.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 115, 117, 133, 169, 231, 325, 457, 633?\n\"Answer: l**3 + l**2 - 8*l + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 3300 - 32480. Let b = 33790 - f. What is b rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -1\/10773  (b) 2\/5  (c) -2  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4 - 15\/6) + 2\/(-2). Which is the closest to 1?  (a) -2\/11  (b) w  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 226, 1275, 4088, 9559, 18582, 32051?\nAnswer: 50860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 528 and 480?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/10 + 16\/10. Let q(z) = 2*z + 3. Let s(x) = 4*x + 7. Let h(b) = -5*q(b) + 2*s(b). Calculate h(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 227*i + 101. What are the prime factors of v(13)?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*2*(2 + -4*(3 + sqrt(17))))**2.\nAnswer: 1280*sqrt(17) + 5952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 344 and 14984944.\nAnswer: 644352592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14364)\/52326*1\/(-7)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of o**5\/60 + o**4\/3 - 35*o**3\/6 - 37*o**2 - 90*o - 1. Give x(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, 17492, 36.\nAnswer: 30, 36, 17492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19313*q**4 + q**3 - 793*q**2 - 391657887*q?\nAnswer: 231756*q**2 + 6*q - 1586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/3)\/((-10)\/(-57)). Let f = -1\/569 - -10247\/2845. Let t = f - z. Is 1 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 - 7*h**2 + 129*h - 51. What is z(-16)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2036*n*z**3 + n*z**2 + 6*n*z - 5*n + 62602313*z**3 wrt n.\nAnswer: -2036*z**3 + z**2 + 6*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-6)*o\/(o\/o**(-11))*o)**(1\/4)*((o*o**(5\/4))\/o**(-2\/9))**(-39\/2) assuming o is positive.\nAnswer: o**(-1253\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:29 AM and 9:19 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)\/sqrt(2))\/sqrt(6))\/(sqrt(2) - -1*sqrt(98)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13.927 in 2, 0, 6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 49, 75, 75, 37, -51, -201, -425?\n\"Answer: -2*h**3 - h**2 + 43*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {t: 9, o: 3, p: 2, x: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2317253 - 6?\nAnswer: 2317245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iddijvkvhhdvdvj. What is prob of sequence hk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 9:34 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3262467 (base 8) to base 15.\nAnswer: 1251a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 15 (base 12) to base 10\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22089670 by 2.\nAnswer: 11044835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 370653493 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 284637216 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -24, 6, -4, 2, 228 in decreasing order.\nAnswer: 228, 6, 2, 1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - -6) + (-17 - -16 - -12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 - -52) + -1 - (-7 - (-17 - -11)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 54830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1525677008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 240215 + 176934. Suppose 18*f = s - 81251. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 - 2*u)*(-3 + 4 - 2) + 13 + 11*u - 2 - 9)*(30 + 35 - 21) - 2*u - 2*u + 3*u.\nAnswer: 571*u + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 258379 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 86.0557303 rounded to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 13 + (5 - (-2 + 8) - -6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 235, 246, 255, 262?\n\"Answer: -v**2 + 14*v + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 + 15. Let t = h - 11. Let w = t - -3. Put w, -2\/5, 4\/9 in descending order.\nAnswer: 4\/9, -2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10789 divided by -6818\nAnswer: -10789\/6818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 8*k + 47 = 0, 2*a + 5*k - 3137 = -3127 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-10 - (-30)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2478 and 47495.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -141.000154 - -141. What is v rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1559487154.\nAnswer: 2, 547, 1425491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 4*g - 1335*n + 1336*n = -13, 0 = 4*g + 2*n - 40 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8155\/3262)\/(-152 - -2).\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -15*y**2 + 163*y + 201. Calculate b(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 48774, 48785, 48802, 48825?\nAnswer: 48854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -19074.\nAnswer: -5\/19074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -3 - 5) + (-24 - -18 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w - 1. Let a be v(8). Let i(b) be the second derivative of b**3\/6 - b. Is 6 a factor of i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 306\/84*(-2436)\/(-522)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-316)\/(-12))\/(1\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(6 - (-11)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**2 + 68*y + 415. Let m be f(-7). Solve 38*a + 5*x - 22 = m*a, -23 = a - 4*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-12)*3\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(60\/(-84))*1\/(-3)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5901 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154056.\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 5 = 4*q. Suppose 5*z - q*s = 100, z + 2*s + 10 = -3*s. Calculate the remainder when 28 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-372)\/217)\/(-2*22\/14).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in ten ninths of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(176)\/sqrt(2) + sqrt(22))\/(sqrt(180)\/sqrt(10)) - (-1 + -2 + -1 + sqrt(11) + -1 + sqrt(22)\/sqrt(2)*-1))**2.\nAnswer: 10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 63*a**3 + a**2 + 14*a - 210 wrt a.\nAnswer: 378*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 3*v - 5. Let b(a) = 2*a - 3. Suppose 5*x - 40 = -0. What is x*b(m) - 5*y(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 290889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13534321?\nAnswer: 31, 436591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 673162?\nAnswer: 2, 7, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Do -29583 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, -13 in decreasing order.\nAnswer: 5, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 622698, 2490830, 5604384, 9963354, 15567734, 22417518, 30512700, 39853274?\n\"Answer: -k**3 + 622717*k**2 - 12*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/(-9)*-5*6\/(-5). Solve -3*u + 14 = -a, k*u - u - 4 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2800 and 5115?\nAnswer: 2864400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, 3, -6359, -1 in decreasing order.\nAnswer: 38, 3, -1, -6359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 990 and 511554.\nAnswer: 84406410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1315 (base 6) in base 13?\nAnswer: 1ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 + 55\/4. Let h = -17 + 22. What is the closest to 1\/3 in h, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6206043 is divided by 231.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -2*i**4\/21 + 14464*i**3\/21 - 6187562*i**2\/21 - 27641190972*i\/7 = 0?\nAnswer: -1962, 0, 4597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 4*n + 267190, q - 3*n - 4424 = 262761. What is q rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1033600 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 1 = c, 21 = c - 4*f + 2. Let x be ((-5)\/4)\/(c\/(-12)). Solve 0 = 2*b + 2*w + 10, -b - 19 = b + x*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21213?\nAnswer: 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -20\/37 in -1\/6, 0.4, 34, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -17755, -18513, -19271?\n\"Answer: -758*p - 16997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-86 - -124 - -102) + -4 + 1.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 361 - 621. Let v = 259.49 + r. What is the second biggest value in 2, -0.5, 5, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2374, -4619, -6864, -9109, -11354?\nAnswer: -13599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -107 + 111. Let y(u) be the first derivative of u**3\/3 - u**2\/2 - 3*u + 20. What is y(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-20))\/(4\/(-10))*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3373?\nAnswer: 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9800110\/51 - -8007013958\/41667. Let o = d + -2\/7353. Find the common denominator of (-3)\/12 + (-598)\/(-24) and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*b*c**2*s**2 - 4*b*c**2 + 2*b*s**3 + 135709*b*s**2 + 111254*c**2*s**3 wrt s?\nAnswer: 12*b + 667524*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 60804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*m + 3191 + 3288 = 0. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uyuaafapfkyk. Give prob of sequence fpfk.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xubbfbbbbci. What is prob of sequence ficx?\nAnswer: 1\/7920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 309701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 216*w - 1518. Determine f(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a hour in seconds?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 4. Let t = -3.4 + -37.6. Let h = -40.9 - t. Which is the nearest to r?  (a) h  (b) -2  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of -2\/3*y**3 - y + 2*y**4 + 0 - 1\/2*y**2. Is j(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 49456*s**3 + 12*s**2 - 2008172*s + 4 wrt s.\nAnswer: 296736*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 1886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 2*h + (-2 - 2 + 3)*(-h + 4*h + 2*h))*(-2*h - 3 + 3) to c*h**2 + y*h + n and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2220 - 2229. Let p(z) = -3*z**2 - z. Let v be p(-2). Is v not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -19*r**3 + 3*r**2 - 4. Let b(h) = h**3 - 2*h**2 + 1. Let w(v) = -4*b(v) - z(v). Factor w(s).\nAnswer: 5*s**2*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that g**4 + 14*g**3 - 39*g**2 - 116*g - 64 = 0.\nAnswer: -16, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -110403512 bigger than -110403513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10733600 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, -35, 53, -4, 1, 4, 2 in decreasing order.\nAnswer: 53, 4, 2, 1, -4, -35, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3597166.27 and -2.\nAnswer: 3597164.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -33 at least -1054\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (440\/60)\/((-2)\/(-3)) is divided by (1 + -2)*(-2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.9, -2\/47, 0, -3, 4, 0.0249 in decreasing order.\nAnswer: 4, 0.0249, 0, -2\/47, -0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-6 - 18) + (-6)\/(-8). Does 4 divide 6\/15 - (f - 129\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.047?  (a) 2\/25  (b) -2\/31  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 + 20.56. Let h = -0.06 + d. Let y be -7*(-18)\/84*8\/3. What is the third smallest value in y, h, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-57 - 20 + 10)*(-58 - 22*w + 58) as x + i*w and give i.\nAnswer: 1474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/2 of a kilogram in grams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-3) + 1\/(-3). Let w be 6\/(-4) + 9\/(-2). Let c be 9\/w*(-4)\/11. Which is smaller: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 5623, 11250, 16877?\n\"Answer: 5627*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19213572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -35549*k**2. Let z(f) = -4205*f**2. What is j(z(c))?\nAnswer: -628578306725*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -177\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 117 divide 6034509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/24)\/(((-1)\/(-10))\/(238\/255))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000815707 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -78 - -48. Let n be 183*(q\/(-9) - 3). Let c = n + -38. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4356 + 4355.1007. Let f = -0.9 - v. Round f to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of w**5\/20 - 13*w**4\/6 - 13*w**3\/3 + 3*w**2\/2 + w + 19. What is the remainder when 148 is divided by r(27)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -c**2*z - 74177*c**2 + 2236*c*z wrt c.\nAnswer: -2*z - 148354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5356 (base 7) in base 15?\nAnswer: 86d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 28\/(-112) + 26\/8. Suppose a*w - 3*b - 42 = -w, -3*w - 2*b + 40 = 0. Solve -w = -5*z + 4*v, -3*z + v + 0*v = -3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r - 6. Let w be t(-6). Suppose w*m - 3*m = 6. Let z be 4 - 9\/(-2)*m. Let o(a) = -3*a + 2. Calculate o(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c**(2\/5)\/c)**(-6\/23))**(-4\/5)\/((c\/(c**0\/c))**(-1\/64)*(c\/(c*c**(5\/3)*c))\/(c*c\/(c**(-5)\/c))) assuming c is positive.\nAnswer: c**(606653\/55200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.28 + 0.02. What is the smallest value in t, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -972 divided by -16\nAnswer: 243\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 271928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2401 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5333140 + 5333209.99953. Let v = 70 - f. What is v rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22316, -85029, -189558, -335897, -524040?\nAnswer: -753981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 4*w - 5. Let b be r(2). Suppose 2*x = -b*x + 1055. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -644397.8 rounded to the nearest one thousand?\nAnswer: -644000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*l**2*x**4 - 23*l**2*x - 2*l**2 + 5263*l*x**4 - 610*l*x + l + 1 wrt x?\nAnswer: -36*l**2*x**2 + 63156*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6208782 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3620 greater than 3621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -15*u + 3. Let z be x(-24). Suppose 552 = 3*p - z. What is the remainder when p is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 154 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -5*a + 27, 26 = 4*a - w - w. Solve -3*z - d + a*d - 18 = 0, 4*z = 5*d - 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 4 - 5)*(0 + 0 + 2*a**2) + 4 - 2*a**2 - 4 - 46*a**2 - 11695 + 11695 to q*a + h*a**2 + c and give h.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -848595816 divided by 2.\nAnswer: -424297908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, -775.\nAnswer: -775, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -9622*u**3 - 2*u**2 + 12*u + 17. Is n(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 9*s**2 - 7 - 7*s + 4*s**2 - 13 + 27. Calculate i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) -13\/3  (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -7024000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*j - 3*p, -2049390*j + 2049386*j = -p - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -6*c**2 - 5. Let b(f) = 10*f**2 + 8*f**2 + 1 - 17*f**2. Let y(v) = 5*b(v) + o(v). Let a(t) = -16*t. Calculate y(a(z)).\nAnswer: -256*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 4247  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -26*v**3 + 2*v + 1. Let h be (6 - -1 - 5) + (-2)\/1. Suppose 3*q - 2*o - 5 = 0, 4*q + h*q - o = 0. Calculate u(q).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1155 + 4906. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.4 + -0.49. Let r = 15.5157 - 15.43. Let i = r + q. Round i to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - -2 - 9 - (-109 - -114)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is a0c2 (base 14) in base 16?\nAnswer: 6bda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -55 (base 6) to base 3.\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 2)*(2*o**5 - 1 + 0 + 4*o**3 - 3*o**3).\nAnswer: -2*o**5 - o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -2*j - 12. Let q be c(-6). Suppose -2*u = 4*p - 28, 2*u - 2*p = -5*p + 23. Suppose -5*n + q*n - u*w = 6, w + 8 = 2*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21*(13*396\/1755 - (4 - 1))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000110000010011011 + -101110?\nAnswer: -1000110000011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -294, -1108 in decreasing order.\nAnswer: -3, -294, -1108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of -5*m**4\/24 + 16*m**2. Let n(y) = -4*y**2. Give c(n(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2b1240a (base 13) to base 16\nAnswer: -d222da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -217?\nAnswer: -3\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*2\/48*-2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-14) - (-810)\/(-105). Suppose 0*n - 2*s - 10 = -5*n, 0 = -n + s + 2. Let i = 491 - 496. Sort j, i, n in decreasing order.\nAnswer: n, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -5*w. Which is smaller: w or 2\/17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 861646549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320)*-2 + 0)*2 - (-5*(2*sqrt(320) + sqrt(320)) + sqrt(320)*2*-4)**2.\nAnswer: -169280 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 122 = 10*f, 38*f - 33*f + 3*t = 93 - 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 122220*0.5.\nAnswer: 61110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/2 - (-8 - -12). Let x be ((2 - 120) + k)*-1. What is the greatest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141*y = 10*w + 143*y, 4*w - 21 = -5*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27845057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -4\/13, 1\/3, 29, -2936, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(5\/((-25)\/4)). Let q = 0 - 0.2. Let j be (-2)\/(-4)*(-4)\/6. What is the nearest to j in 3, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - sqrt(27)\/sqrt(9)) + 4 - sqrt(3) - sqrt(588).\nAnswer: -15*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 58, -13, -3 in increasing order.\nAnswer: -13, -3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11586, 11575, 11558, 11535, 11506, 11471, 11430?\n\"Answer: -3*s**2 - 2*s + 11591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-1 + -11 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 90721330537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) -0.4  (b) 5  (c) -0.5  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1276579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -280 + 2751. Suppose -5*d = -119 - p. Suppose 0 = q + 4*y + d, 4*q + 5*y - y = -2048. What is q rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p - p + 0*p)*(-14273*p**2 + 201 + 3064*p**2 - 67 - 64 - 68).\nAnswer: -22418*p**3 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1223588 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 46559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (10 - 4 - 2 - (3 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/2 and -14\/41.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by -188835206.\nAnswer: -1\/26976458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-56*g + 92*g - 64*g)*(0*g**2 + 2*g**2 + 3*g**2)*(4 + g**2 - 4)*(3 + 1 - 2).\nAnswer: -280*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2544 divided by -2544?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2283 - 322*t**2 + 2283 + 343*t**2 + 54*t to i*t**2 + z + y*t and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 133705 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: Three letters picked without replacement from gqqcccragagacrqccc. What is prob of sequence cgr?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 + 44 = 4*v. Solve -27 = -4*r + 3*i, -2*r + v = -5*i - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 201\/2 + -101. Let t = -18\/7 - -76\/35. Put f, t, 2 in ascending order.\nAnswer: f, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 54*c**2 - 331*c + 46. Let t be l(6). Solve -d + 3*i + 121 = 113, -2*d = -t*i - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-8)\/(-24))\/((-5)\/15)*-4. Solve r*t - 10*p + 5*p = 29, 3*p = 5*t - 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n**4 + 3*n**4 - n**4)*(-7256 + 12998 - 6971).\nAnswer: 1229*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27449330 to the nearest integer?\nAnswer: 5239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/13)\/i**(-9))\/((i\/(i\/i**(4\/9)))\/i**(-7)) assuming i is positive.\nAnswer: i**(173\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 + 241*q - 8893. Give a(46).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-108)\/2226)\/(2\/42). Let h = 895\/318 - l. Let w = -2122\/63 - -280\/9. Calculate the common denominator of w and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(55)\/(sqrt(22)\/sqrt(2)) + (sqrt(5) - (sqrt(245) + 0) - ((sqrt(80) + 0)**2 + sqrt(5) - sqrt(5))).\nAnswer: -83 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 155031787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 + 1545?\nAnswer: 153e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*m - 15*m + 979425 = 0. Let b = m + 433558. Let g = 113673 - b. Round g to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 3*y - 3 = 0, y - 9 = -b - 0*b. Let o(i) = -4 + 0 + b - 7*i. Give o(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 - 14\/(-3))*-9. Let a(w) = -7*w + 11. What are the prime factors of a(g)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 6:03 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -899, -1820, -2741, -3662?\n\"Answer: -921*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9 + 6*k**4 + 9 - 3*k**4 + 2*k**4 + 2*k**4 + 2*k**4 - 1 + 1 + (-1 + 1 - 2*k**2)*(4*k**2 - 4*k**2 + 2*k**2) - k**3 + k**3 - k**4.\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 + 3*x + 1. Let c be t(-4). Suppose c*z - 263 = u, 0 = 4*z - 3*u + 2*u - 210. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 154299\/77 + -22016\/11. Let o = -15007\/1918 + -9\/274. Find the common denominator of o and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4990109\/156 - 31988. Let g = -5\/39 + q. Suppose -4*f + 17 = -3*a, 5*a + f = 4*f - 21. What is the nearest to a in -2, 0, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -5*r. Let p(c) = -6*c. Let s(h) = 4*m(h) - 3*p(h). Let j = -28 + 54. Let d = j + -23. Give s(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13364724.\nAnswer: 2, 3, 101, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7210929*g - 5*a + 55 = 7210925*g, 1 = 5*g + 17*a for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 86?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7957 and 5402.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -18\/6775 and 103\/10840?\nAnswer: 54200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i - 6*i + i)*(2*i**2 - 2*i**2 + 2*i**3) + 2100*i**2 - 2100*i**2 - 11*i**4 + 7*i - 7*i - 3*i**4.\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 501*s = -3*h + 505*s - 23, 2*s = -5*h - 47 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4761904 and 544.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-232)\/(-24) - (-2)\/6. Suppose y = -y + s. Suppose -5*m = -2*g + 315, g - 605 = -3*g + y*m. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -5*a - 1. Let o = -11 - -4. Calculate the remainder when q(o) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 84\/(-22) + -2 + 3 + 3. What is the smallest value in 2\/5, 3\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 + 47*l**2 - 41*l - 98. What is the thousands digit of q(44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*p - 19*p = 4*b - 60991994, -2*p = -b + 15247994. What is b rounded to the nearest 100000?\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -13.3, 1, 2\/7, 10\/83?\nAnswer: -13.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**5\/6 + n**4\/6 + 7*n**3\/6 - n**2\/6 - n = 0. Calculate n.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*l**3*n*w + l**3 - 4882*l*w - 499250*n wrt w?\nAnswer: 5*l**3*n - 4882*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddpdddddddddd?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 499 + 2873. Suppose l + 2104 = 4*y. Let i = 4054\/3 - y. Calculate the common denominator of i and -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11783598?\nAnswer: 2, 3, 59, 33287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-39)*232934\/2108.\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, 74.9511, 5, -3\/2, -17?\nAnswer: 74.9511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11859121?\nAnswer: 53, 223757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.6 - 0.4. Let v = g + 4.4. Let t = v - -0.5. Which is the second biggest value?  (a) 2\/3  (b) t  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - ((19 - 7 - 9) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 166033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -92 (base 14) in base 9?\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -726, -1435, -2142, -2847, -3550, -4251?\n\"Answer: f**2 - 712*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x - 19*x - 4*v - 45 = 0, -x - 9 = 2*v. Let c(b) = -b**3 - 9*b**2 + b + 15. Determine c(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.5, -485, 1, -0.4, -0.2, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*j = 53*j + a - 35, -2*a = 2*j + 20 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8)\/(-4) - (-13 + 311)*(-7662)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 142*h - 507. Does 11 divide c(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 3:01 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.4 + 2.4. Let o = x + 2.8. Which is the third biggest value?  (a) 1\/5  (b) -0.3  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 2, -5533 in increasing order.\nAnswer: -5533, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 129 and 104619?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 + 6*l - 2. Suppose 0 = -u - 2*u - n + 25, 3*n = -3*u + 33. Let i = 2 - u. What is r(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 3*z + 240. Let c be ((-12)\/10)\/(1\/(-100)). Let w = c + z. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 - 62.4. Let y = h + 47.399999783. What is y rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -487*l**2 + 805*l**2 - 2 - 409*l**2 + 2.\nAnswer: -91*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*u + 17 = 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.23, 2\/15, 8?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 6054305343 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11002 - -102?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-446)\/(-4)*(11 - 13). Let b = p + 229. Calculate the remainder when 88 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -19*y + 77*y + 4 - y + 137*y. Let h be a(2). Suppose 4*o + j - 1056 = -h, j = 3*o - 498. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -618284788 divided by -22?\nAnswer: 28103854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1  (b) -2\/5  (c) 5  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k - 2. Let l(b) = 29*b - 4. What is l(m) + 4*v(m)?\nAnswer: 25*m - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 + 7*u + 2. Let m(b) = 4*b**2 + 2*b - 2. Let t be m(2). Let y = t - 10. What is the least common multiple of j(7) and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, 1\/5, -4, 0.059 in descending order.\nAnswer: 2, 1\/5, 0.059, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 541 + 477. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31843009, -63686030, -95529051, -127372072?\nAnswer: -159215093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 976, 981, 988, 997, 1008?\n\"Answer: f**2 + 2*f + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1365 (base 12) to base 8\nAnswer: 4275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 42895 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 2*f**4\/19 - 13986*f**3\/19 - 126134*f**2\/19 + 686274*f\/19 - 546156\/19 = 0.\nAnswer: -13, 1, 3, 7002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w**2. Let k(h) be the third derivative of 23*h**4\/24 + 3*h**2. Give k(q(p)).\nAnswer: -46*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 88355630 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 12, 2, 7, -4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(1088))**2 - (-4*(sqrt(17) - -1*sqrt(17)))**2.\nAnswer: -32*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 918 and 934082?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -120?  (a) -0.4  (b) -9  (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2934 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1600 (base 7) in base 10?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u**3 + 9*u**2 + 14*u + 81. Let m be o(-5). Suppose -5*r = 7 + 28. Is (m\/4)\/(r\/154) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 20122bba + 16?\nAnswer: 20123014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 111 + -1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 AM and 1:17 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 0 + 1)*(8 - 8 + 2*j - j - 3*j + 5*j - j - 1 + 1 + 3 - 2*j - 3 + (1 + 1 - 4)*(2*j + 1 - 1)) to c + l*j and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/2 - (-250)\/(-20). Let c = 67 - i. What is the highest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*j + 2*j. Is (j + 1)\/((-1)\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -35*o**3 - 2*o - 1. Let u be r(-1). Suppose 0 = -3*w - p + 32, 0*p + 64 = 4*w - 4*p. What is the highest common divisor of u and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-14)\/(w\/(w*((w**28*w)\/w)\/w)*w)*(w*w**(2\/71)*w)**(-33) assuming w is positive.\nAnswer: w**(-3900\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 534106?\nAnswer: 2, 17, 23, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*v - 45, -45 = 5*o - 15*v + 20*v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 7:27 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 301 or 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3781 and 398.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 21*f + 1628 - 824 - 806. Let w(i) = 2*i**2. What is w(j(n))?\nAnswer: 882*n**2 - 168*n + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 19645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -1\/3  (c) 2\/3  (d) 1  (e) -2\/5883  (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 632, -0.5, -1?\nAnswer: 632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1827 and 6003?\nAnswer: 42021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1234.0778 + -1.3222. Let d = 1235 + n. Let w = -1 - -1. Put w, d, 2 in descending order.\nAnswer: 2, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/304003869 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -66209858 equal to -66209858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -49, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127461.\nAnswer: 3, 42487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.32 and 15.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (5\/3)\/((-5)\/(-6)). What is the highest common divisor of p and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 410611048 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b**2. Let m(i) = -5*i + 1. Let y(u) = -1056*u + 4. Let x(k) = -4*m(k) + y(k). Give x(l(h)).\nAnswer: 2072*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 85 = 145. Calculate the least common multiple of w and 20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60\/12*(2\/15)\/((-58)\/2523).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 29228 + 163431\nAnswer: 192659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rchrrfhffhhkfjff. Give prob of sequence cf.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 37.39?\nAnswer: -3.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-3)*a**(-6)*a**2*a\/(a\/a**(2\/3)))**(-6\/11) assuming a is positive.\nAnswer: a**(-4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + c = -4*c + 1731, 0 = 4*u - 4*c + 3492. What is u rounded to the nearest 10?\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 + -6. Suppose r**4 + 8*r**4 - 4*r**4 - 3*r**y - 2*r**3 = 0. Calculate r.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.07 - -4.93. Let r = 1.5 + 3. Let k = q - r. Which is the biggest value?  (a) k  (b) -0.3  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89*x**2 + 36*x**2 + 44 - 3*x - 42.\nAnswer: 125*x**2 - 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 + 7*m**2 - 2*m + 4. Let n be z(-7). What is the units digit of ((-80)\/(-14))\/(n\/63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31bc (base 15) in base 11?\nAnswer: -7a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4416447?\nAnswer: 3, 7, 17, 89, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5178844 to the power of 1\/2, to the nearest integer?\nAnswer: 2276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 46*d**2 - 771064*d + 771018 = 0.\nAnswer: 1, 385509\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*(w\/((w\/w**(2\/23))\/w))\/w)\/w)\/w*w)**(-14) assuming w is positive.\nAnswer: w**(-28\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*n = 23*n + 525 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 0) + -3 - 4 - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.621121 decades to years.\nAnswer: 6.21121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 5) + (-3 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of 2*x**7\/21 + 3*x**5\/5 - 9*x**4\/4 + x**3\/3 - 14*x + 1. What is the third derivative of y(u) wrt u?\nAnswer: 240*u**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, l: 5, h: 8}. Give prob of sequence illi.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -631, -639, -647, -655?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**3 + 9112430*m**2 + 4151727899445*m - 83038203000900.\nAnswer: 5*(m - 20)*(m + 911253)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -8\/1761207 and -151\/503202.\nAnswer: 3522414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of 0 + 2*p**2 + 5\/2*p**3 + 1\/20*p**5 + 3\/4*p**4 + 0*p. Factor j(z).\nAnswer: 3*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 464487688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-46.27.\nAnswer: 4.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 287\/3024*66 - (-6)\/(-1) and -55\/303?\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 2*g**3 + 296 + 5*g - 13*g**2 - 291 + 14*g**2. Let d(q) = -3*q**3 - q**2 - 4*q - 4. Calculate -5*d(l) - 4*r(l).\nAnswer: 7*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, -366, 1, -2, 58?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 129, 0.4, -14.8 in descending order.\nAnswer: 129, 0.4, -14.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9253*z - 9253*z - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.15566 to three dps.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76722905 is divided by 9590360?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4314133 - 22?\nAnswer: -4314155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 11*d = -6*d + 83, -4*x + 121 = -d. Solve -58*b + 47*b + x*b + 3*b**2 + 48*b = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0847 minus -8?\nAnswer: 8.0847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 1)*(72*z**4 + 37*z**4 + 7*z**4) + 4*z**4 + z**4 + 2 + 0*z**4.\nAnswer: 121*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2131558 is divided by 2131414?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28 by -249.\nAnswer: -28\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 27*((-63)\/(-9))\/(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 10 = k + 2*n, -2*k - 4 = 2*n. Let w = 10 + k. Let q = 2982 - 2982. Which is the second biggest value?  (a) q  (b) w  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -152.44539 to the nearest integer.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 736380 is divided by 275?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1206, -2\/11, 1, 443 in descending order.\nAnswer: 443, 1, -2\/11, -3, -1206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, 62, -4 in decreasing order.\nAnswer: 62, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.74 + -1.74. What is the closest to -2\/91 in w, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*c - 27*c - 3*q + 185 = 0, c + q - 35 = 0. Solve -5*j - c = -65 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1748676335 and -2.085.\nAnswer: 1748676332.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/24 and 49\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 152082804.1 minus 0.3?\nAnswer: 152082803.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 3:35 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of 2*w**7\/735 + w**6\/210 - w**5\/35 - w**4\/42 + 4*w**3\/21 + 2*w**2 - 11*w. Factor q(k).\nAnswer: 4*(k - 1)**2*(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 389*x**5 + 1064*x**4 - 28*x**3 + 624678693*x**2.\nAnswer: 23340*x**2 + 25536*x - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.0368 + 1.4268. Which is greater: r or -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 414*h**4 - 531*h wrt h?\nAnswer: 4968*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -10*c + 20. Let h(j) = 10*j - 19. Let l(z) = 6*h(z) + 5*v(z). Let d(k) = -k**2 + 4*k + 3. Let t be d(3). Is l(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r - 6. Let u be f(5). Let c = -1 - u. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 69 - 21. Let g = k - 44. Which is the third smallest value?  (a) 0.3  (b) -114  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - 0. What is the remainder when 22 is divided by (-1)\/(-2) + 33\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.014  (b) -2\/9  (c) 3  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10.7 - -5.7. Put 5, -0.5, i in decreasing order.\nAnswer: 5, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-5))\/((-33)\/66)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-170*a - 79*a - 147*a)*(3 + 0 + 1) to the form t + u*a and give u.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1191 less than or equal to 1192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65, 97, 115, 113, 85, 25?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-12)\/15)\/((-6)\/15). Find the third derivative of 2*i**p - 2*i**2 + 0*i**6 + 2*i**2 - 2*i**6 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -349*p + 10*p**3 - 8*p**3 - 20*p + 7*p**3.\nAnswer: 9*p**3 - 369*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/96 and 35\/3083536?\nAnswer: 18501216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 116 divide 39883932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(-10)*352\/22\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -8525, -17025, -25535, -34061, -42609, -51185, -59795?\n\"Answer: -a**3 + a**2 - 8496*a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, 1\/7, 2, -5, 1\/8, 3041?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 303*m**2 + 299*m**2 + 9*m + 299*m**2 - 3*m - 1213*m**2 + 303*m**2.\nAnswer: -9*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + 1 + 8 + 0 + (-20 - -10) + 5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + 16. Suppose r*n - 2*n + 184 = 3*h, -2*h - n + 119 = 0. Let m = 59 - h. Which is the nearest to -12?  (a) 3  (b) m  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 3*i - 6 = 6*y, 2*i + 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -94\/573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -99986.311 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o + 1. Suppose -9*x + 14*x = 10. Let t(l) = 0*l - 2*l - 2 + 1. What is x*t(u) + 3*y(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5292 by 3.\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 620979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8147 less than 29261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + -14 + (-1 - 1). Let y = -17 + w. Let u = 103\/3 + y. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f - 12. Let v be x(6). Suppose -2*t + 9 = 2*d + 1, 16 = 3*d + 5*t. Solve v = u - d - 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 335 and 51878368?\nAnswer: 259391840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 95 - 107 = 0. Let k(c) be the first derivative of 1\/3*c**o + c**2 + 3 + 0*c. What is i in k(i) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-13824)\/(-3072))\/(3\/(-42))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*x**4 - 10319*x**3 - x**2 + 923*x.\nAnswer: 48*x - 61914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is o in o**3\/3 - 7*o**2\/3 = 0?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7848.61 kilometers to meters.\nAnswer: 7848610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = 4*c - 4*m, 2*c - 11744 = -3*m - 11753 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 2*n + 8 = 0. Suppose 3*s + 3*a - 3 = 0, 0*a = 5*s + 2*a + n. Put -1, s, 3 in descending order.\nAnswer: 3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101001 - 1000101111101100?\nAnswer: -1000101111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 8:10 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 5, f: 5}. What is prob of sequence nnf?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of j**6\/120 - j**5\/60 + 9*j**3\/2 + 7*j**2. List the prime factors of b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 93350 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000007918046 to 7 dps.\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.345563 + 477928.9.\nAnswer: 477928.554437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -9*y**2 + 37*y + 44. Let g be v(5). Solve 6 = -3*m + 3*a - 4*a, 4*a = -g*m - 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 4*n - 3*n - h, -42 = 2*n + 2*h. Let w = 13 - n. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fbtbfbbtjbfbtfja. Give prob of picking 2 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/178332 and -27\/21230.\nAnswer: 891660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 2*o - 830000008, 5*o - 6 = 14. Round q to the nearest 1000000.\nAnswer: 166000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 2. Suppose 3*o + 2*l - b = 0, -2 = -0*l + 2*l. Let g = 2 + o. Put -4, -1, g in ascending order.\nAnswer: -4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**3\/9 + 928*t**2\/3 + 1700068*t\/9.\nAnswer: -4*t*(t - 1087)*(t + 391)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(6)\/(sqrt(12)\/sqrt(24)) + 6*(-1 + sqrt(3)) + 3).\nAnswer: -16*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*a = -123 + 620 + 511 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**5 + 42*z**4 + 342*z**3 + 1350*z**2 + 2592*z + 1944 = 0. What is z?\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*c**2 + 7*c**2 + 4*c**2 + (2*c - 2*c + 2*c**2)*(-4 + 1 + 2).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1256 (base 9) in base 16?\nAnswer: 3ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**10\/f)\/(f**(-8)*f*f))\/((f*f**35)\/f)**(-33) assuming f is positive.\nAnswer: f**1170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2*w**2 - w. Let s(c) = 123*c**2 + 3*c - 55. Let r(t) = 4*n(t) + s(t). What is the second derivative of r(o) wrt o?\nAnswer: 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005888342 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/5  (b) -0.06  (c) 28  (d) 0.2  (e) -5\/806\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16437 - 16441. Put 3, 4, -7, x, 11 in decreasing order.\nAnswer: 11, 4, 3, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + a + 22 + 35 = 0, 0 = -s - 5*a + 9. Calculate the remainder when 25 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-52)\/(-60) + (-2)\/3. Is -5 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (1 - -5) + (1 - 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/166 and 5\/50 + 24\/320*-164.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 6*t**2 - 6*t + 5. Let n = -3 - -2. Let g(l) = -l**2 - l - 1. Let h(x) = n*y(x) - 5*g(x). Find the second derivative of h(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 793*p + 366*p + 272*p + 1013*p.\nAnswer: 2444*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -56, 1\/6, -1\/2, 0.06, -5, -27\/83, 2?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*u - 23 = 9, -5*g - 3*u + 147 = 0. Which is the third smallest value?  (a) g  (b) -2\/11  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than -2\/335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 0 + (-2708)\/(-11) + (-6)\/33?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4321 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 32521.71 days in hours?\nAnswer: 780521.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 - 16*n - 16. Let c(q) = -3*q**2 + 34*q + 32. Let f(p) = -2*c(p) - 5*h(p). Calculate f(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/362576 and 133\/1983504.\nAnswer: 33719568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 take away -51?\nAnswer: 50.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 23\/200?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.01 - -12.99. Let v = d + -13.5. Suppose -2*y = -f + 24 - 25, 5*f - 16 = 3*y. What is the second biggest value in v, 1, y, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*l + 291243 - 291243.\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -18 (base 10) to base 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of -i**7\/245 + i**6\/84 - i**5\/210 - i**4\/84 - 3*i**2 - 10*i. Let n(x) be the first derivative of t(x). Factor n(y).\nAnswer: -2*y*(y - 1)**2*(3*y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 173 - 176. Let x = 14.1 + -14. Put 1, x, d in increasing order.\nAnswer: d, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(3\/2)*(y\/y**(2\/3))\/y)\/(y**(-1\/3)*y*y**(-2\/5)))**7)**(-10\/17) assuming y is positive.\nAnswer: y**(-329\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97866855?\nAnswer: 3, 5, 467, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 126 and 97545?\nAnswer: 585270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -o**5 + 3779*o**4 - 97457*o**3 - 454139*o**2 + 97458*o + 450360 = 0.\nAnswer: -4, -1, 1, 30, 3753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2 + 6*j + 0*j - 2 - 2*j + 8. Let c(r) = r + 12. Let s = 0 - 0. Let x be c(s). Let w(t) = -10*t - 10. Determine x*i(v) + 5*w(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -83, 1\/508, 0.5, -16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.3 from -59067677400.07.\nAnswer: -59067677399.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, z: 2, a: 4, u: 4, e: 6, k: 1}. Give prob of picking 1 u and 1 a.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.09 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**2 - 10*o - 93. Give q(-5).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eqhe when four letters picked without replacement from {q: 1, h: 2, e: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.05 - 223.\nAnswer: -223.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l + 8. What is the units digit of f(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrhr. What is prob of picking 3 r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 261 and 1479.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 459 a factor of 138865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -42*p + 38*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -345.5 + 168.6. What is l rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1947*l + 52049 - 104100 + 52050.\nAnswer: 1947*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56*w**3 + 29*w**3 + 29*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -6*i - 2*i + 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22634 - 245714 = -20*d. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2453 - 2450. Solve -d + 12*g = 8*g - 7, 0 = -3*g - v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**4 + 906*g**3 - 1818*g**2 + 910*g.\nAnswer: 2*g*(g - 1)**2*(g + 455)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1590 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(110)*1*4 - (sqrt(110) + 2*sqrt(110)*6)))\/(sqrt(10) - sqrt(110)\/sqrt(99) - (sqrt(60) + sqrt(540))\/sqrt(6)).\nAnswer: -27*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -1029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -122916113, -122916119, -122916125, -122916131?\nAnswer: -122916137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 9*a - 18 = 0. Let u be a*(-1)\/(-3) + 33. What is the tens digit of (18\/u)\/(1\/150)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10544 greater than or equal to 179261\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (2*(sqrt(33) - sqrt(165)\/sqrt(5))\/sqrt(11)*6)**2 - ((2 + sqrt(147))**2 - (-3 + (sqrt(3) - (-3 + sqrt(3))**2)))*6.\nAnswer: -991 - 126*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**3 - 23108*n**2 + 138540*n - 207756.\nAnswer: 4*(n - 5771)*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 15297 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -402 - -400. Does 2 divide 3*9 + u + (-80)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2801, -2586, -1931, -590, 1683, 5134, 10009, 16554?\n\"Answer: 41*f**3 - 26*f**2 + 6*f - 2822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22*z**6 - 22*z**4 + 2*z**3 + z**2 + 2018*z wrt z?\nAnswer: -2640*z**3 - 528*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1\/2  (b) 0.3  (c) 8  (d) 2\/1255\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 7:42 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6424 by 918.\nAnswer: -3212\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -4 + 36. Suppose 107 = 4*j - 25. Let w be 6\/j + (-260)\/(-22) + 0. Calculate the highest common factor of w and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -4, 3*n + 2*f + 3*f + 710 = 0. Let v = n - -240. Solve 0 = -2*m + 7*m + v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 932 + 23821016657\nAnswer: 23821017589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.531 - 0.069. Which is the nearest to 1?  (a) 1  (b) 0.3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, g: 1, c: 1, m: 1}. Give prob of picking 1 g and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -22 + 24. Let c be -3 + 6 + (-3 - -3). Suppose -4*x + 23 = c. Solve -d - 3*g = 4, -v*d - 3*d - x*g = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4200 - -4272. What is the least common multiple of k and 6?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 146 divide 9118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11999.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + g - 26 = 4*g, 0 = -5*z + 4*g + 28. Suppose t - 25 = -3*d, 2*t - d = -2 + 24. Let x = t - 9. Solve 16 + x = z*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 47, 61, 65, 71, 91, 137?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6822*d*t**2 - 135*d*t*v + t**2*v + 8*v wrt v.\nAnswer: -135*d*t + t**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 4*l**3 + 22*l. Let x(w) = -w**4 + w**3 + w. Let b(k) = s(k) - 4*x(k). Find the second derivative of b(c) wrt c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/46?  (a) -5  (b) 1  (c) -4\/3  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -362, 0 in increasing order.\nAnswer: -362, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 137, -446, -2031, -5116, -10199, -17778?\nAnswer: -28351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 89.33049 microseconds to hours.\nAnswer: 0.000000024814025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 238*z**2 + 126855*z + 471. Determine q(-533).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/(-16) - (-69)\/4. Let k = 2 + l. What is the tens digit of (-311)\/(-2) + k\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 6*n**2 + 35*n - 220. Give j(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -9 - -9 - ((0 - 4) + 0) - -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -467*n + 6103320 = 6142081 for n.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-12) + (-120)\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*6*1*sqrt(1300))**2 + -4 + 5 + -5*(sqrt(117))**2.\nAnswer: 1169416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (12\/15)\/(1*4\/10). Suppose g*w - 31 - 201 = -2*z, -z + 4*w + 111 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6, 5, 0, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 755898 is divided by 188962.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 9*s + 1 + 6*s**2 - 6*s + 5 - s. What is the remainder when f(-2) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -332 + -33?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1378039 by -13.\nAnswer: 106003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/78*-6*(4\/(-2))\/(32\/(-12)).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x - 2. Let s be l(-3). Let g = 277 + -193. Let r = 87 - g. Solve -r*w = -s + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2060749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, r: 1, q: 1, l: 2}. What is prob of picking 1 r and 2 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18460464 - 547*f**3 + 18460464.\nAnswer: -547*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v + 3. Calculate f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 + l - 1. Suppose -3*o - 2*o - 3*f - 4 = 0, -o = 4*f + 11. Let r(m) = 8*m**2 + 7*m - 6. Calculate o*r(j) - 6*x(j).\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1033189 divided by 72?\nAnswer: 1033189\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -9.7995 and 128?\nAnswer: 137.7995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.997 + -0.697. Which is the closest to 2\/5?  (a) 4  (b) h  (c) 5  (d) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (4 + -1)) + 8 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 5*m - 4*m + 2 = 0, -10 = 5*v + 5*m. Suppose v = -w - 287 - 294. Round w to the nearest 10.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17771651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 6*x - 3. Let t(m) = -12*m + 5. Suppose 3*a - 30 = -5*v, 5*a - 3*v + v - 50 = 0. Let k be a\/35 - 132\/(-28). Calculate k*j(r) + 3*t(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -382038 by 6.\nAnswer: -63673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 497 + 91. Suppose -2*i = -k - 61. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 38 + -30. Let w = 124 + -60. What is the highest common factor of w and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gnzh when four letters picked without replacement from {n: 1, x: 2, g: 1, z: 2, h: 1, m: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mxooxxumu. Give prob of picking 1 x, 1 u, and 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(4*sqrt(171)\/sqrt(9) - sqrt(19)))**2*5.\nAnswer: 7695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1915\/2*p + 5\/4*p**2 + 733445\/4.\nAnswer: 5*(p - 383)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i + 14. Let l be 128\/(-24)*3\/(-2). Let r be w(l). Let z be r*2 + (41 - -18). Calculate the highest common factor of 22 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g**2 - 18*g - 54. Calculate o(-4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/(((v**(11\/6)\/v)\/v)\/v))*v*(v*v\/v**(2\/79))\/v)\/(v**(-1\/21)\/((v\/v**(2\/51))\/v*v*v*v)) assuming v is positive.\nAnswer: v**(215269\/56406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/324614 and -87\/3152?\nAnswer: 511591664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2452992 minus 3?\nAnswer: 2452989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 39958 = -39914 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 4:05 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 + 9*k + 9. Let l be w(10). Suppose 3*b = 10*b. Sort l, b, -6 in decreasing order.\nAnswer: b, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23 + 23. Suppose 18 = 2*b - f. Is ((-652)\/6)\/((-6)\/b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/2)\/((-2)\/(-4)). Let a = 0 - q. What is the remainder when a + 10\/(-2)*-4 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13623 (base 8) in base 7?\nAnswer: -23411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of i**4\/24 + i**3\/3 + i**2. Let v = -4 + 18. Let c be y(v). Solve -c = 2*s + 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 17 - -307?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.4, 4, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of 1\/2*s**3 - 1\/8*s**4 + 0 - s**2 - 5*s. Let y(a) be the first derivative of z(a). What is the first derivative of y(i) wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, 0, 10, 520, -5 in decreasing order.\nAnswer: 520, 10, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1602*h + 160*h + 101*h.\nAnswer: -1341*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -5, 8, -1\/5, 0, -0.062?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 2 e, and 1 t when four letters picked without replacement from {l: 2, d: 1, e: 3, m: 1, k: 1, t: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 4. Let b = o - -10. What is the least common multiple of ((-2)\/(-4))\/((-1)\/(-8)) and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -4, -191.2, 0.2, 5, -0.3, -1\/9, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(4048\/(-32))\/23?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, e: 1, w: 5}. Give prob of sequence wwo.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 84 = -3*i. Suppose y - 3*k - 30 = -7*k, k = -y + i. Calculate the lowest common multiple of y and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 AM and 8:43 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 424367075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 914407, 1828177, 2741957, 3655753, 4569571, 5483417?\n\"Answer: p**3 - p**2 + 913766*p + 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 165*y**2 - 56*y**2 + 78*y**2.\nAnswer: 187*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 8 = 2*q, y - 4*q = 5*y - 12. Suppose -43 = x + 3*g, -y*x + 6*x = 3*g - 172. Let o = 170 + x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z - 14. Let l be q(8). Let i(s) = -2*s - 14. Suppose 5*b = 3*b + r + 25, -4*b = 2*r - 46. Let j be i(b). Is j >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24*-3*(-1)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -749257 + -9?\nAnswer: -749265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*f + 35 + 13. Suppose 5*u = -4*i + f, 0 = -i - 15*u + 18*u + 18. Solve -6*n = -4*n + i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7483595.\nAnswer: 5, 7, 29, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1520)\/342)\/(235\/1692).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4923504\/(-222894) + 22 + 0 and 16\/427?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 + -2230302?\nAnswer: -2230301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-72)\/(-24)*(-2)\/6. Let z be (-37)\/(-7) - (6 + o). Determine t so that 0 + z*t**3 + 2\/7*t**2 - 4\/7*t = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -250 + 844. Is x a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/255479 and -36\/11?\nAnswer: 2810269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 114296353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -231123, -230859, -230127, -228693, -226323?\nAnswer: -222783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -285715729 divided by 955571.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 614710 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 9 - 28 = 4*m, 3*j - 17 = 2*m. Find the common denominator of m\/6 + 133\/(-66) and 73\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -399295740 by 19730.\nAnswer: -20238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + y = 32, -71*y = -q - 78*y - 8 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {s: 1, m: 1, h: 4, j: 9}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 29336 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 16848 + 10814 = 12641. Calculate the highest common factor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (84\/48*8\/28)\/((-4)\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/6 and -67\/1146.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c. Let u = -1 + 2. Let t(y) = 14*y - 7. Let o(k) = 13*k - 6. Let m(z) = -7*o(z) + 6*t(z). Let a = -12 + 18. Calculate a*r(l) + u*m(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - h. Put h, -0.3, 0.3 in decreasing order.\nAnswer: 0.3, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 4*y**3 - 2*y**2 + 7*y + 9. Let z be f(6). Let i = -838 + z. Sort 3, 1, i, -2 in descending order.\nAnswer: i, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l**3 + 2*l**2 - 4*l - 2. Let c(j) = 2*j**3 + 2*j**2 - 5*j - 2. Give 4*c(x) - 5*q(x).\nAnswer: -2*x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 8:38 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 31636, 126482, 284562, 505882, 790448, 1138266?\n\"Answer: q**3 + 31611*q**2 + 6*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(21\/270)*(-43)\/(6880\/448).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 5*l - 217409 + 217409. Let y(q) = -13*q + 8. What is i(y(v))?\nAnswer: -65*v + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {s: 1, u: 14, a: 1}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -80330305*l**2 + 2*l - 56695929.\nAnswer: -160660610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2123 - -344102?\nAnswer: 341646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1002780024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 372546 or 372540?\nAnswer: 372540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1566?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -140272 by 176.\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 27616\/3 or 0?\nAnswer: 27616\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003318229 to 7 dps.\nAnswer: 0.0003318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 + 20*a**2 + 18*a + 24. Let v = 1 - 1. Let y(s) = 10*s + 168. What is the remainder when y(v) is divided by g(-19)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -233d6?\nAnswer: 233db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 61935 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, -10, 0.1, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4704 - -4672) + 24 + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13396523 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 76 and 21821462.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 7*z - 9. Let h(l) = 16*l**2 + 1550*l - 118. What is the remainder when h(-97) is divided by y(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 93, 292, 513, 756, 1021?\nAnswer: 1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3578.48 milligrams to kilograms.\nAnswer: 0.00357848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p - 1 - 2*p**4 - 4*p + 3*p**4 + p**3 as t*p**3 + a*p**2 + m*p**4 + b + g*p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 11, o: 9}. What is prob of picking 3 o?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11352)\/(-216))\/(-43)*-15?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (0 + 3)*3\/(-9)*-3639.\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 + 6. Let u = 9\/56 - -23\/56. Let v = 2 + -1.5. Which is the second smallest value?  (a) v  (b) r  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -71 - 139. Let z = -40 - r. Suppose z = a + a. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x - 4*f - 60 = 0, 84*x + 40 = 80*x + 4*f for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8340, -16679, -25020, -33363, -41708, -50055?\nAnswer: -58404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 186*t. Let h(q) = 6*q + 0*q + 5 - 9*q + 0*q. Let y(g) = -2*g + 4. Let f(j) = 4*h(j) - 5*y(j). Determine m(f(u)).\nAnswer: -372*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -7*b + 6, 4*q = 2*b + 11636. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226366 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1881.544 + -1916. Round c to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*v + 20 = 77*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 83753759.4964 + -3.29.\nAnswer: 83753756.2064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 1\/2  (c) 9  (d) -131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 316165.4 days to nanoseconds.\nAnswer: 27316690560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26367 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (132\/(-12) + -12*5\/(-10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*d - 4 = 4*k - 68*d, 5*k - 3*d + 13 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/80 of a millennium?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 144 is divided by 59.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -1122*x**2 + 2. Let b(k) = 2*k + 2563 - 2563. Give b(a(f)).\nAnswer: -2244*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Do -539\/3 and -0.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26092 is divided by 124?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8559\/8140 + 3\/2035. Calculate the common denominator of 63\/5 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**3 - 12627204*d**2 + 25254417*d - 12627210.\nAnswer: -3*(d - 1)**2*(d + 4209070)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 556\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that d**3\/4 - 15*d**2\/4 - 21*d\/2 + 34 = 0.\nAnswer: -4, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 - 11*v + 45. Let j be c(-14). Let f be j\/(133\/(-136) - -1). Suppose 3*w - f - 134 = -3*g, -3*w = 2*g - 178. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**2 + 10*c - 9. Let m be d(10). Does 30 divide (-8 - -1)*m + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -183 - -185. Find the second derivative of 2*r**u - 7*r**2 + 2*r - 19 + 47*r**2 wrt r.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7097496*j**2 - 25168*j + 36?\nAnswer: -14194992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 4 = -4*g. Let m(v) = -2 + 136*v + 3*v**2 + 2 - 135*v. Let z be m(g). Solve -6 + z = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (6 - 21 - -12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2834356271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 u when three letters picked without replacement from {w: 4, y: 2, u: 5, a: 2}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9844.376l to millilitres.\nAnswer: 9844376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 2*g - h - 12, 2*h = -g + 9. Suppose 29 = 4*p - g. Calculate the greatest common factor of p and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 241 divide 23098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, 5 in increasing order.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*k = 39*k + 76. Find the third derivative of 7504*z**5 + 0*z**4 + 0*z**k - 131*z**2 - 7709*z**5 wrt z.\nAnswer: -12300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r**3 + 114*r**2 + 8*r + 103. Determine k(57).\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -310235 (base 6) to base 12.\nAnswer: -1237b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 2*k + 687, n - 122 = k + 224. Let x = -347 - k. Solve 0 = 3*i - x - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 44121, 44120, 44119?\n\"Answer: -p + 44122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -19 + 112?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/15*(-5 - (-1503)\/306).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 80, 84, 78, 56, 12?\n\"Answer: -q**3 + q**2 + 8*q + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 12:00 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*w**2 + 14*w**2 + 14*w**2 + 20*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19.7 or -339.912?\nAnswer: -339.912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 divided by -9?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 571364 - 1404364. What is w rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-73 + 36 + 39)*(u + 2*u - u)*(-2*u + 0*u + u)*(-5*u - 3*u + 2*u)*(-67 - 31 + 10) to h + j*u**2 + g*u + f*u**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-28)\/(-84))\/(2 - (-21)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76118 is divided by 25091.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 plus -0.0127?\nAnswer: -0.2127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 + 6*j**2 + j - 2. Let d be b(6). Suppose m + d = -0. Find the common denominator of 0\/(-3) + (-114)\/m and -11\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 + 2\/1 + 2. Suppose 3 = 2*k - 5. Let l(v) = k - 2 - 1 - 3*v**2. What is l(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 295066.5.\nAnswer: 88519.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*h*l*q + 42*h*l - 150*h - 4*l*q + 9*l + 20*q + 2 wrt l?\nAnswer: -3*h*q + 42*h - 4*q + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 701 is divided by 231.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 220735922?\nAnswer: 2, 11, 17, 23, 67, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 132.99 - 133. Let g = 0.051 - -24.949. Let t = g + -25.1. Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 + i + 1. Let b(x) = -9*x**5 + 3*x**3 - 8*x**2 + 3*x + 3. Let h(m) = 2*b(m) - 6*u(m). What is the third derivative of h(v) wrt v?\nAnswer: -1080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1037 and -10.9.\nAnswer: 11303.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101011101000111111 - -1110101?\nAnswer: 10101011101010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h + 1 - 1 + (0 + h + 0)*(2 + 4 - 4) + 4*h - h - h + h - 4 + 4 - 2*h + 0*h + 9*h + (2 - 2 - 7)*(-2 + 2 - 2*h).\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 317*s**2 - 15*s + 41. Let w be m(3). What is the greatest common divisor of 77 and w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 at least -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - o - 1. Let s(k) be the first derivative of k**3\/3 - 5*k**2\/2 - 5*k - 10. Let w(x) = 2*p(x) + s(x). Give w(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20.4 + -20.5. Sort 1, -0.7, f, 4 in descending order.\nAnswer: 4, 1, f, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -l**3 + 7*l + 7*l**3 - 5*l**3 in the form i*l**2 + d + x*l**3 + a*l and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92 = -v - 91 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1042 or -1043?\nAnswer: -1042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a - -2a500?\nAnswer: 2a4c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 AM and 2:52 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4104 by -12.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from wwwkookwiiiwkwkowwo?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (2 - -1) + 5 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(4\/(-264)*-2). Let n = d - 30. Calculate the remainder when 11 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -10. Let c be 33\/(-22)*8\/y. Let w(h) = -2*h - 2. Let j be w(-4). Solve 2*p = c*u - 2, -3*u = -0*u + j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 563619283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 129601161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 7 + -4 + -1 + 6 + -13\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -82 + 127. Find the second derivative of 40*u**2 + 14*u + 60*u**2 + p*u**2 wrt u.\nAnswer: 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 1 + 17*w + 28*w - 98*w - 127*w.\nAnswer: -180*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-672*m**2 - 245*m**2 + 69*m**2)*(7 - 7 + 2*m**2) + (2 - m - 2)*(3*m**3 + 2*m**3 - 4*m**3) to b*m**2 + w + f*m**3 + x*m**4 + n*m and give x.\nAnswer: -1697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3185 - -3188. Solve 4*o + 2*t - 14 = 0, 0*o - 3*t = -2*o + k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 9:20 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h = -3642 + 890. What is the greatest common factor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of d**8\/168 + d**7\/210 - 1193*d**6\/120 - 6335*d**4\/24 - 8093*d**2. Find the second derivative of m(i) wrt i.\nAnswer: 40*i**3 + 12*i**2 - 7158*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -5 + (-104)\/(-20) + 11\/(-5). Let p be -2 + 25\/15 + b\/3. Let x be (-10)\/10*(4 + p). Let a(n) = -2*n**2 - 3*n - 2. Give a(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*y - 7*y - 5*y)*(-9 + 4*y + 3 - 3*y).\nAnswer: 4*y**2 - 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 o when four letters picked without replacement from {s: 2, a: 3, o: 1, c: 6}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 141 divide 58340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8772*q = -8725*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -961944 divided by -4?\nAnswer: 240486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aus when three letters picked without replacement from {y: 1, s: 2, a: 3, u: 2, w: 2, r: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 3 = h, -2*h = 17*z - 14*z - 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from xdxjjjxxjjdjxxjxxx?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29034 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(5) + 0) - (4*sqrt(5) + -5)**2.\nAnswer: -105 + 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 3)*1\/5 + -1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of -7*i**4\/12 + 6*i - 1. Suppose -3*p = -3*d - d + 20, 2*d = -3*p - 8. Let z(o) = o - o**d - o. What is z(k(n))?\nAnswer: -49*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*7 + (-1)\/(-1). Suppose -30 = 2*z + 60. Let o be z\/(-6)*r\/9. Sort 5, o, 4.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 409337509?\nAnswer: 7, 17, 23, 347, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*j - 6*j = -4*o + 32, -j = -4*o + 8. Suppose 1560 - 306 = o*w. List the prime factors of w.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*y - 45 = 49*y - 3*z, 3*y - 2*z + 31 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.214 times -1864?\nAnswer: -398.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q - 4. Suppose -w + 5*y = -13, -4*w - 5*y = -2*y + 63. Let b be (4\/w*-3)\/((-2)\/(-10)). Give j(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.506828 rounded to 1 dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15337\/6 - 2548. Which is smaller: u or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/15 - (-42000002)\/(-10). Round b to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 479.7656ml in litres?\nAnswer: 0.4797656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 381 + -369. Solve 3*c + 3*c = -o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*r = -29 + 6. What is the highest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 14*x + 5. Let y be r(3). Let u = -22 + y. Suppose -97 = -9*c - 79. Solve -z - u = 2*s + 3*s, -c*s - z - 13 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 143*x**3 - 286*x**3 + 175*x**3.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 27 + 15 = 0. Let o(l) = l**3 + 9*l**2 - 21*l + 15. Let b be o(-11). Solve 10 = -3*f - b*s, -2*s = 3*f - 2 + k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lkngrdd. Give prob of picking 1 n and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -76497.\nAnswer: 1\/76497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -605768 + 1993335. Let c = -1387567.23000072 + a. Let s = c - -0.23. Round s to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 380 is divided by 78.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 9*a - 20. Determine p(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttjjttttt. What is prob of sequence jjt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 23197241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 425385107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -6*a**3 + 3*a**2 + a + 5. Is t(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (5 + sqrt(44)\/(sqrt(12)\/sqrt(3)*-1) + -1)**2.\nAnswer: -8*sqrt(11) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -2\/5, 4, 8 in decreasing order.\nAnswer: 8, 4, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f - 22. Let h be l(-6). Let q(j) = -3*j + 5*j + 8 - 11*j**h + 7 + j**3. List the prime factors of q(11).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3528\/2759 or -2?\nAnswer: -3528\/2759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*w**4 - w**2 - 26 + 2*w**3 + 8*w**4 + 6 to the form z*w**2 + r + i*w + c*w**3 + q*w**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -3*f**2 - 220428*f - 4049041932 = 0.\nAnswer: -36738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-16))\/(5\/2*-1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2593, -5, -4 in increasing order.\nAnswer: -2593, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -26 from -448.77.\nAnswer: -422.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177831 is divided by 22222?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 45\/10*320\/16. Let y = 147 - h. Calculate the remainder when 166 is divided by y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, -1, -0.78, 0.14, 4?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 36*1\/4 - -14. Solve -5*x + 43 - j = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qrb. What is prob of sequence brq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26177?\nAnswer: 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 - 23*b**2 - 429*b + 110. Determine u(35).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/155?  (a) -1  (b) -8\/5  (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 21 + -5511?\nAnswer: -5450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 + 4 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 298 and 41869.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/((j\/((j\/(j*j**(-5\/3)))\/j))\/j*j)*j**(4\/5)*(j**(-6)*j)\/(j**(-2\/13)\/j) assuming j is positive.\nAnswer: j**(-464\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 276 - 282. Suppose n + 49348 = -7*w + 2*w, 2*w + 19734 = -t*n. Round w to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 5*c. Let h(p) be the second derivative of 0*p**2 + 0 + 0*p**3 - p + 1\/3*p**4. Calculate h(y(d)).\nAnswer: 100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 1 + -6 + 26 + 6 + 3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 275*h - 6 = 277*h, -2*l + 13*h = -39 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 345974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 643173 is divided by 1772?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 - p. Let k be n(-2). Let f be k\/12 - 2614\/12. Let l = f + 345. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1 from -93178135082922.\nAnswer: -93178135082922.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = k + 23. Let l(m) = 5*m - 2. Let n be l(-3). Let j = n - k. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + 76036?\nAnswer: 76034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2883115 to the power of 1\/2, to the nearest integer?\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fofo when four letters picked without replacement from {o: 2, f: 2, l: 10}?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5723 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 114925105 to the nearest integer?\nAnswer: 10720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 9184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1506222 (base 7) to base 11\nAnswer: -12a184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z - 4*a = -8*z - 3*z + z - 14, -a + 5 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 106044 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 10*t - 1. Let h(s) = 2*s + 1. Let g(v) = -8*h(v) - q(v). Let m(z) = -9*z - 2. What is 2*g(o) - 7*m(o)?\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10 - 5759630.\nAnswer: -5759620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -3*z**2 + 24*z - 36 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 193  (b) -0.51  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 649457277 divided by 30926537?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 23 = 5*s, 2*y - 7 = -3*s + 10. Let k = 147 + -142. Solve -6*l + k*l + 3*x + 13 = 0, 0 = -l + y*x + 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v**4 - 5*v**4 + 4*v**4 + 5*v**4 + v**4 - 3*v**4 + (-v**4 + 2*v**4 - 2*v**4)*(5 - 3 - 4) + v**4 - v + v + 7*v**4 - 8*v**4 + 5*v**4.\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 315 = 70*p - 68*p - 333, o = -3*p + 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1897448 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 4 + (sqrt(153) - sqrt(17))**2)*2*3 + -1.\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2720 and 945200?\nAnswer: 1890400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 183 = 7*w - 10*w, -w = -5*s - 73. Suppose 72*t = w*t. Solve t = -m - 1 - 0, -2 = -c - 3*m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -171822\nAnswer: -171822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 197773180 + -198307669.595. Let y = -534486.99499973 - k. Let v = y - 2.6. Round v to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 243 = 10*s - s. What is the greatest common divisor of 189 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 - 11 = 9*x. Let g be (x\/4)\/2 - (5 - 7). Solve g*q + 15 = 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1091200 divided by -1984\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -14 + 13*l - 3*l - l + 4 as a*l + h and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of h**6\/120 + h**5\/60 - h**4\/24 + 3848*h**2. Let v(j) = 5*j**3 + 4*j**2 + 27*j. What is -v(o) + 4*w(o)?\nAnswer: -o**3 - 31*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-273)\/(-26) - 1\/(-2). Let g = v + -10. Which is smaller: 7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21 by -2.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.8 - 5. What is the nearest to w in -1\/7, 0.3, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence smy when three letters picked without replacement from {u: 1, o: 1, m: 1, s: 1, j: 1, y: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -3*p + 27, -4*p - 4*v = -13 - 23. Suppose 3*m - 2*n = -3 + 16, m - p = -4*n. Let o = -4 + 1. Put m, o, -0.5 in descending order.\nAnswer: m, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11907 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.382 - -0.34. Round s to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16\/9?  (a) 0.2  (b) -0.3  (c) -165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 + 14. Let i(o) = o**3 - 2*o**2 - 2*o. Let w(d) = 3*d**3 - 5*d**2 - 5*d. Suppose -2*k + 2 = 0, -2*q + k - 3*k - 8 = 0. What is q*i(j) + x*w(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n**2 + 2*n + 3. Let m be l(-3). Suppose 20 = 3*c - f, 4*c + 0*f = -f + m. Suppose q + c*q = 18. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 31 = -3. Do -52\/15 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of 37*p**5\/60 + 65*p**3\/6 - 7*p**2 + 6. Differentiate u(s) with respect to s.\nAnswer: 74*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 13) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*i - 179386 = -95922 + 489075. What is i rounded to the nearest 100?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 152\/405 - -2\/81. Suppose -l + 7 = -3*o, -l - o + 1 = -2*o. Let k be (-3)\/(-6) + l\/8. What is the third smallest value in -2\/13, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 693214 - 692425.633. Let k = 788 - t. Let j = -0.35 - k. What is j rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(756)\/(-2*4*sqrt(12)))\/((sqrt(45)*-1)\/sqrt(5) + (sqrt(9) - sqrt(243)\/sqrt(3))).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 24452014 - -5?\nAnswer: 24452022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 63515 - 190537\/3. Solve 1\/3*d**2 - 3 - z*d = 0 for d.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19878 (base 12) to base 6\nAnswer: 445432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - 5. Let q = 1.01 - t. Let b = q + 0.09. Is b greater than or equal to 13\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 206341 and 2476092.\nAnswer: 2476092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, q: 2}. Give prob of picking 2 q and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**14*k*k\/k**14)**(-47))**18)**(-36) assuming k is positive.\nAnswer: k**60912","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -66, -2, 96, 1 in descending order.\nAnswer: 96, 14, 1, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffejn. Give prob of sequence nf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rkrkrr. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**2 + c + 1. Let w(q) = -12*q**2 - 7*q + 4. Let j(d) = -4*f(d) + w(d). What is the second derivative of j(r) wrt r?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhcssshhhsshhhscc. What is prob of sequence chhc?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 5628*g**4 - 10*g + 5*g**3 - g**2 + 3 - 3*g**3 - 5622*g**4 in the form m*g**4 + k*g**3 + b + s*g**2 + o*g and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -231103230?\nAnswer: -231103231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1748 + -1674. Put k, -2, 2 in ascending order.\nAnswer: -2, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 322 and 3703?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve w**2\/5 - 24*w\/5 = 0 for w.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**2\/3 + 46148*k\/3 - 33841000\/3.\nAnswer: -4*(k - 10750)*(k - 787)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 31829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.044 + -0.544. Which is the nearest to 1\/4?  (a) -3\/4  (b) f  (c) -6.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -245.212 + 245. Let h = -0.15 - -0.01. Let t = f - h. Round t to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/55 in -4, -9, 0, -414?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Expand -4*w + 1 - 70*w - 5*w - w + 0*w + 5*w + 1 - 1 - w + (-2 - 2 + 2)*(-5*w + w + 2*w) + 2*w + 3*w - 3*w - 3*w - w + 3*w.\nAnswer: -71*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 4*n + 2432 = 2369, 0 = -13*s + n - 51 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 9, -8, 10, -5.\nAnswer: -8, -5, 4, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - d + 152 = -w, 5*d - 154 = 2*w. Let p be 735\/(-11) - d\/165. Let k = -44 - p. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172*g + 1166 = 38*g - 710 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 15 - 5 = 0, 3*m = j + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 264 a factor of 107448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -3163*z**3 + z**2 + z. Suppose 3*o + 15 = 12. Is c(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 425879?\nAnswer: 425879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-4*-1*2*sqrt(77))\/(sqrt(77)\/(sqrt(11) - (sqrt(1331) + sqrt(1331)*1))).\nAnswer: -168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-50000)\/3*(-144)\/10*270. Round n to the nearest 1000000.\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h**3 + 7*h**2 + 5*h + 2. Let v be b(4). Let s(k) = -13 - 2*k + 7 + v. Let c(z) = 8*z**2. Determine s(c(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -186*x + 189*x = -4*a - 22, 4*a = 3*x - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 12:01 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*z**2 - 4*z**2 + z**2 + (-8 + 5 - 4*z + 5*z)*(z + 2 - 2) in the form u*z**2 + j + s*z and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -197 + 204. Is x at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pz when two letters picked without replacement from ztpzctzptttttctvvttf?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h - 11. What is w(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1158715177 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 - 17*n + 12. Suppose -82 = -4*q - 14. Let k be f(q). Solve 0*c - 4*c = k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 a factor of 109002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000260658 to five decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (0 - -1 - (23 + -14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1162881\/2030 + 5727\/10. Find the common denominator of w and -58\/3.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/370 and 38\/407.\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 59*g - 469. Determine p(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + c + 0)*((0 - 4 + 2)*(-2*c - 3*c + 2*c) - 2*c - 5*c + 8*c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.377 to 1 dp.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17752 - 6961 = -1073*g - 1107 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 45 and 2907.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (38 - 36) + 3 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 6:52 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(52\/(-134)) - 20\/130. Suppose -4*m + 3*m - 1 = 0. Sort q, -4, m, 2.\nAnswer: -4, m, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from xxyfiyyiyiyxiixx.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3617791 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3012392*j - 303294 wrt j.\nAnswer: 3012392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2596414.3 - 2596416.2000011. Let u = 1.9 + j. Round u to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -38*v**2 - 2*v - 1. Let h be g(2). Let f = h + 225. Calculate the remainder when f is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 + -9. Let d = -11 + z. Let j(o) = -2*o + 1. Let f(k) = -3*k + 2. Give d*f(c) - 5*j(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-104)\/(-18) - 18\/(-81). Suppose -14 = -i*n + 4. Suppose -u - 4*r = -169, u + 0*r - n*r = 197. Calculate the remainder when u is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 19*f - 2. Is a(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, 1, -3, -5, -646 in increasing order.\nAnswer: -646, -5, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -6696, -26813, -60340, -107277?\n\"Answer: -6705*a**2 - 2*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 13 + -1683?\nAnswer: -1670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/((q**1\/q)\/q))\/q*q)**(-1\/14)*q**7*q\/(q\/(q*q\/(q*q*q*q**(-5)*q)))*q\/((q\/q**6)\/q)*q\/(q*q*q*q**(-4)*q)*(q**(-1))**(-24) assuming q is positive.\nAnswer: q**(293\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(77)\/sqrt(11)*-6 - sqrt(7))**2 - (-2 + sqrt(448)))*-2.\nAnswer: -2070 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -5*m - m**2 + 2 + 2*m + 6*m. Let w be c(3). Sort -0.4, w, -2\/15 in descending order.\nAnswer: w, -2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -6*h**2 + 23*h**3 - 4*h - 41*h**3 - 4 + 17*h**3. Let k be u(-6). Let d = 31 - k. Which is greater: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**8\/(t**(-2\/21)*t)*t\/(t*t**(-1\/5))*t\/t**2*t assuming t is positive.\nAnswer: t**(766\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*y = -23*y + 40. What is the remainder when 47 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.4 + 0.6. Let u = l - 2.7. Let m = -0.3 + u. Is m equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -394169 - 4?\nAnswer: -394173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1009\/8 + -126. Let k = -5 - -5.5. What is the nearest to 0.126 in k, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 335.5792 to the nearest integer.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -161, -244, -471, -914, -1645?\nAnswer: -2736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2586 + -2584. Let a(i) = 8*i**3 - i**2 + 6*i - 3. Determine a(v).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(2\/15)*(c\/c**32)\/c)\/((c**(-1\/3)*c)\/(c*c**(1\/3))))**10 assuming c is positive.\nAnswer: c**(-312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 3*a = 0. Let m be 0 - ((0 - -1) + a). What are the prime factors of m\/3 - 7\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-191)\/(-4))\/1*(8 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - (3*sqrt(77) - sqrt(77))*-1) - sqrt(77) - (3*3*sqrt(77) - sqrt(77)))\/(sqrt(55)\/((sqrt(270) + sqrt(30))\/sqrt(6))*-2).\nAnswer: 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l - 35 = -3*l. Let t be (-3)\/l - 128\/(-28). Let c be 7\/(21\/6)*(-2 + 1). Sort 2, t, c.\nAnswer: c, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - -2. Let m(q) = q**2 - 7*q - 15. Let i be m(9). Let r(l) = 3*l + i - 4 - 2*l**3 + k*l**2 - 7*l**2 + 3*l**3. Determine r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 613356 by -948.\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**2 - 30*v - 36. What is h(-29)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 18 + 5 + (-832)\/26\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/11, 1\/5, -1, 93, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.296 - -119.196. Let z = s - 118. Let n = 0.2 - 0.2. What is the second biggest value in z, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 25\/(-20)*-4 + -3. Let k(c) be the third derivative of c**4\/3 - 4*c**2. What is k(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, w: 4, b: 1, h: 3, j: 1}. What is prob of picking 1 h and 1 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 88 by -22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 223668990 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j**4 - 3*j**4 - 2*j**4 + (-j**3 - 2*j**3 - j**3)*(259*j + 1905 - 1905).\nAnswer: -1039*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 89899, 179803, 269709, 359617, 449527, 539439, 629353?\n\"Answer: u**2 + 89901*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.03 - 0.33. Let k(u) = -u + 1. Let d(v) = -v**2 - 10*v - 42. Let w(g) = d(g) + 5*k(g). Let b be w(-3). Sort q, b, -6 in decreasing order.\nAnswer: q, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.6183 + -2.4183. Suppose p = -4*p. Which is the closest to p?  (a) 0.4  (b) -2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of -p**6\/225 + 23*p**5\/150 - 19*p**4\/15 + 212*p**3\/45 - 136*p**2\/15 - 701*p. Factor o(a).\nAnswer: -2*(a - 17)*(a - 2)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**2*b\/b**(-4\/15))**(3\/17) assuming b is positive.\nAnswer: b**(49\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxwxixwiwxxww. Give prob of sequence xwii.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqqqqqqqeqqqq. Give prob of picking 1 e and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 + 82*d - 380. Let v be l(77). Solve -5*r - 15 = -v*z, 4*r - 1 = z + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8133.\nAnswer: 3, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21 and 807?\nAnswer: 5649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 776 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15664*q**2 + 2069*q**2 - 2*q**3 + 37850*q**2.\nAnswer: -2*q**3 + 55583*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -321 + 1566. Which is smaller: k or 1241?\nAnswer: 1241","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -142250 + 111?\nAnswer: -142135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1576?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 356\/143 or 0.1?\nAnswer: 356\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**3\/s**(1\/6))**(2\/75)*(s*(s\/s**(-3\/5))\/s)\/s*s**2*s**(2\/13)*s**2 assuming s is positive.\nAnswer: s**(14126\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*l**5 - 3*l**4 - 4023*l**3 - 238372*l**2?\nAnswer: -120*l**2 - 72*l - 24138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, h: 4, k: 3, n: 5}. Give prob of picking 2 k.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35 + -5 - (534 + -546).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*i**2 + 2*i**2 - 4*i**2)*(4 + 2 - 2)*(3 - 5 + 0).\nAnswer: 64*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22 and 155838.\nAnswer: 1714218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -1322 + 866. Calculate the highest common divisor of j and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2549*i**2 + 139*i**2 - 556*i**2)*(-2 + 6 + 3 - 4).\nAnswer: -8898*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 14*c**2 - 11*c - 10. Let y be o(-13). Find the common denominator of (0 + (-3)\/y)\/((-3)\/34) and -20\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 AM and 1:36 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 6:41 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -1142.569836 to the nearest ten.\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6236 and 1559.\nAnswer: 6236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 - 30*s**2 - 51*s - 52. Determine m(-28).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*i + 5*i**2 + i**2 - i**2 - 12*i to the form s*i + y + n*i**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - 2*u + 6*u + 24 = u - 17, 2*c + 38*u + 256 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j\/(j\/(j*j**(9\/4)))))\/j)\/(j**9\/j)*(j**(-10)*j)\/(j\/(((j*j**(-1\/8))\/j)\/j)*j) assuming j is positive.\nAnswer: j**(-195\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -5254 divided by -2114?\nAnswer: 2627\/1057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 7:04 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 53 - 50. Suppose -5*n + a*d + 0*d = -102, 2*n - 20 = -4*d. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 65 + -50. Solve -7*g - 20 = c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u**2 - 3*u**2 - 2*u + u**3 + 3*u**2 - 2*u**3. Let i be o(-2). Let y = -11 + 16. Which is the third biggest value?  (a) y  (b) 0  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 1.06.\nAnswer: 4.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 plus -0.107?\nAnswer: 0.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*f + 411*f = -317*f + 23026 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -p + 972 + 469, 0 = -5*p + 2*y + 7171. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 52*s - 12*s - 552160. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9*n + 16*n - 11*n)*(-n**2 - 6*n**2 - 2*n**2 + (0*n - 5*n + n)*(4*n - 3*n + 3*n)) to the form b*n + o*n**2 + l*n**3 + a and give l.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4 + 1\/((-2)\/10392). Round j to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 3*o**3 - 2*o**2 + o. Let w(k) = -10*k + 19. Let a be w(2). Let v(h) = -h**3 - h. What is a*j(x) - v(x)?\nAnswer: -2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-159)\/(-63) - (297\/77 - 3)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 309, -5, 4\/3 in descending order.\nAnswer: 309, 4\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**2 - 2*z - 1. Let j be f(2). Solve -l - j*l = 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 91890 and 381690?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -261, -5, 0.1 in descending order.\nAnswer: 0.1, -5, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*h = 39*h - 5. Suppose -h*o = 3*o + 395200. What is o rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 - 7 = 2*z. Let d(b) = -b**2 - 2*b - 2. Let a(s) = 2*s**2 + 5*s + 5. Let k(q) = z*d(q) + 4*a(q). Let r(m) = -m**2 - m**2 - m**2. What is r(k(o))?\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2573\/(-279) + 24\/108?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/15 + 1*(1 + -1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7)\/6*4\/14. Let n = -269\/2 - -132. Sort n, -1, o.\nAnswer: n, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - 0) + (-12)\/(-3). Suppose 10*y = v*y + 12. Suppose y*r - 10 = c, -16 = -r - r - 4*c. Sort 0, -4, r in increasing order.\nAnswer: -4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-411)\/(-6) - 6\/12 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22643001 = -2*d + s - 22642982, -25*d + 245 = -5*s for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -106\/9 + 12. Let s = 36.77 - 37. Let j = -0.33 - s. What is the closest to j in 1\/3, 1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9216231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.6, -15, -0.4, -1289, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-83*217\/54033)\/(2\/498)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 18996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -3*q**3 - q - 1. Let x be h(-1). List the prime factors of (-1)\/(3\/(-39)) + x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 502600742.8667604 - 502600649. Let q = 109.86677 - t. Let v = 16 - q. What is v rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 5  (b) -5  (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 3*d + 4. Let v(k) = 100 + 97 + 101 + 107 + 2*k - 402. Let o = 7 - 2. Calculate o*y(c) - 6*v(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 43 - -127. Is (k\/(-8))\/(15\/(-60)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m - 19. Let w be z(9). Let t = 18 + w. Let q = 24 + t. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(1100) + -1)**2*1.\nAnswer: -20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 9 = -27. Let b be 0 - ((-1)\/(-3))\/((-1)\/h). Let r = -43\/44 + 19\/11. Sort -0.5, b, r in increasing order.\nAnswer: -0.5, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 390293551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 - 20.066. Let z = 4.934 - h. Put z, 0.04, -2\/3, 1 in increasing order.\nAnswer: -2\/3, 0.04, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/12 + 179*v\/12 - 230\/3.\nAnswer: (v - 5)*(v + 184)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36906123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g + 1. Suppose 5*b - 2*a = -7*a + 5, 4 = 4*b - 2*a. Let i be t(b). What is the third derivative of 2*o**4 + 0*o**2 - 4*o**2 - o**i wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -6, 0.3, 4, 1\/21 in descending order.\nAnswer: 4, 0.3, 0.2, 1\/21, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*f + 4*f + 6*f)*(3 + 3 + 3)*(-1 + 0 - 1) as d + v*f and give v.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 24408323 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 nearest to 0 in 1\/4, 0.4, 1\/3, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 191462 from 1237.7161.\nAnswer: -190224.2839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14427689, 28855382, 43283075?\nAnswer: 57710768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -4ac?\nAnswer: 4b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 208 - 10. Let v be 39\/12 - 2\/8. Let n be (1\/v)\/(9\/594). What is the highest common factor of n and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 4:56 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 505506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/8 + (-69)\/(-4). Suppose -g + 8 - k = 0. Let y be (-8)\/(-5) + (-4)\/g. Is y greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 + 1)*(-2)\/(-2). Suppose 8*g = g. Solve 0 = u*v - l + 6, g*v = v + 5*l + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.4 - -0.4. Let m = 0.33 - 0.03. Let t = m - 0.5. Which is the nearest to v?  (a) -3  (b) 0.1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6\/5)\/(9\/30). Suppose -2*o = o + 5*l - w, 4*o - 13 = l. Let -8*u**3 + 5*u + 20*u**2 - 20*u**4 - u**3 + 4*u**o = 0. Calculate u.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/3)\/h)**(-44)*h**(-1\/4)\/h**(-2))\/((h\/((h\/(h**1*h))\/h))**(-23)\/(h**(1\/2)*h*h*(h\/(h*h*h\/(h*h**7)))\/h*h)) assuming h is positive.\nAnswer: h**(1303\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 4 + (-1*sqrt(66)*1)\/sqrt(6) - (5 + -2 + sqrt(891) + (sqrt(891) + 0)**2 + -1).\nAnswer: -889 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 72.26126 days?\nAnswer: 6243372.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/7?  (a) -0.4  (b) 2\/27  (c) 119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22 + 9. Let l = 39 + o. Calculate the remainder when l is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 10) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000542181 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16958*x = -3*m - 16962*x - 256 + 32, -m + 11*x + 653 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -461*m + 462 - 507 = 102*m + 1081 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 372792 is divided by 10651?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2231 - 1127. Let r = 1107 - w. Let b = 0 + 3. Solve -5 - 6 = l - r*f, 1 = 4*l + b*f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42289.96 nanometers to centimeters.\nAnswer: 0.004228996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -43069 + 92407. What is k rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 2 - 2) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 111870204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 513977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 182.79 and 0.15?\nAnswer: 182.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -384*b + m = -385*b + 198145, b - 5*m - 198133 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -4043104 (base 5) in base 13?\nAnswer: -23a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 78 + -86. What are the prime factors of 2852\/34 - g\/68?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*s = 13*s - 37*s - 3321 for s.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5 - 10 - -5)\/(-2). Let h be 3\/(-6) + 1 - r\/5. Let j = -2 - -6. What is the nearest to -0.2 in h, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161294405?\nAnswer: 5, 131, 246251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (0 - (-1 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -59 + -57 - -16 - (11 - 0).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 484\/10 + (-4)\/10. Let c(j) = 6*j + x - 48. Let h(m) = m. Calculate h(c(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 5*x**3 + 3*x**2 + 5*x - 1. Let p(t) = 2*t**3 + t**2 + 2*t. Let g(o) = -3*m(o) + 8*p(o). Let n be g(3). Solve 9 = 5*r + n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 19, -1\/3, 37086?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20958.\nAnswer: 2, 3, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*h - h - 7*h + (-3*h - 3*h + 2*h)*(-1 + 0 - 1) to z + a*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -210032 (base 4) in base 11?\nAnswer: -1818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1\/(-3) - 1)*13779\/(-12).\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 38299, 37828, 37357, 36886?\n\"Answer: -471*b + 38770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -22*r**5\/5 - 25*r**2 + 19. What is the second derivative of g(t) wrt t?\nAnswer: -264*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5161, 8635, 12111, 15589?\nAnswer: 19069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3*i**3 + 200*i**2 - 77*i + 9819. Calculate o(67).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116203 - 54569 = -2285*o - 29467 + 7220 for o.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3 + -3)*(-8 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03058165 rounded to 3 decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -n + o + 61, 3*o + 102 = 2*n. What is the highest common divisor of 18 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + -7. Differentiate 19*h**2 - 8*h**2 - 1 + x + 9 wrt h.\nAnswer: 22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 0 + (-2 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140 is divided by (81\/(-6))\/((-6)\/16).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/((-99)\/11)*(-6)\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -8738\/1537 at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 31*g**2 + 3*g + 2 + 36*g**2 - 69*g**2 in the form k + v*g + l*g**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1526 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/41484 and 9\/38027?\nAnswer: 456324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3 >= 716402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20332232 (base 4) to base 10.\nAnswer: -36782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*b + 0*b + 4*b)*(0 + 0 + b)*(1 - 1 + b + (3*b + 2*b - 3*b)*(-3 + 6 - 2) + b - 2*b + 3*b).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of 14\/39*f**3 - 2 - 4\/13*f + 5\/13*f**2. Factor k(o).\nAnswer: 2*(o + 1)*(7*o - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 454\/(-3)*(2 + -287447). Suppose t = 5*y - 0*y - 5*c, 5*c = -5*y + 43499990. What is y rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114516 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3299*h - 2967*h - 654948 = 909*h - 56*h for h.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 9*y. Let a(f) = -7*f - 12*f - 12*f + 22*f. What is x(a(j))?\nAnswer: -81*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 7*s - 5*s)*(3*s + 0*s - 5*s)*(497*s + 1058*s - 567*s - 3 + 3).\nAnswer: -7904*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*f - 99 = -274 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of o**2\/2 - 2*o - 32. Determine f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/1*(-2)\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*-1*sqrt(10))\/(sqrt(6)\/sqrt(108)) - ((0 + sqrt(720))*-1 + 1))**2.\nAnswer: -48*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the third derivative of 34*c**6\/15 - 11*c**5\/4 - 5*c**2 + 5. What is the third derivative of p(f) wrt f?\nAnswer: 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2918*z**2 + 2*z**3 + 2*z**3 + 2539*z**2 + 2550*z**2 + 2541*z**2 - 10548*z**2.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4928 divided by -1232\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = -5*b + 46, 1192*n = 1193*n - 4*b + 20 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 2*h + 36 = 0, 19 = -2*v + h + 43 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 3*j**2 - 6*j + 12. Suppose -5*y = -7*y + 4. Let z(t) = -3*t. Let h(i) = -7*i. Let x(w) = y*h(w) - 5*z(w). Let v(c) = -o(c) + 6*x(c). Factor v(d).\nAnswer: -3*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1\/2  (b) -135.9  (c) 19  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 4*i - 3*i + 17*i**2 - 9 + 14.\nAnswer: 17*i**2 + i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -418*j + 404*j + 70 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f = 14*f - 1824. Is 49 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28109, -18223, -8337, 1549?\nAnswer: 11435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 6*i = 5*i + 1178, 5*c - 3*i = 1166. What is the greatest common divisor of c and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of -h**3\/3 + 27*h**2\/2 + 238*h. Let k be w(16). Is -106\/19 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -790.065 and -1.\nAnswer: -791.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (20 + (-2 - 4) + 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 7*j - 10. Suppose 4*h + 2 - 10 = 2*n, j*h - 2*n = 2. Calculate the lowest common multiple of h and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -c**5*h + 268*c**3*h*n**2 - 4*c**3 + 5*c**2*n**2 + 4*c*h*n**2 - 35*c*n**2 wrt c?\nAnswer: -60*c**2*h + 1608*h*n**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 - 10*i - 3. Let r(f) = f - 1. Let u(x) = -a(x) - 4*r(x). Let y be u(7). Suppose q = -y*q + 4. What is the greatest common divisor of q and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2294545 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the third derivative of -u**5\/20 + 4*u**4\/3 + 5*u**3\/3 - 10*u**2 + 4*u. Let s be a(11). Is s greater than or equal to -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.61 + -0.51. What is the third smallest value in 0, -2\/5, 2\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of w**3\/3 - w**2 + 155*w. Let a(d) be the first derivative of d**2 - 2*d - 104. Determine 4*a(o) - 3*u(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.72  (b) -1006.4  (c) 1\/5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*d = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 54522631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8 - (-119)\/14)*-6. Let a be 6\/3*4\/(-1 - o). Solve w + a - 1 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 1 = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2489 and 1245548?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 36730 divided by 5\nAnswer: 7346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.3 + 0.2. Let k = n - -1. Which is the second smallest value?  (a) k  (b) -1  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 + 1)\/(-3 + 2). Let k = d + 6. Factor -1\/6*l**k + 1\/6*l**2 + 0*l + 0.\nAnswer: -l**2*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-30)\/12)\/((-60)\/8). Find d, given that 0*d - t*d**2 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-27)\/(-180)*10\/(-4). Let q = -906 + 910. What is the second biggest value in q, g, -39.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + 10*m + 14. Let h be c(-9). Solve h*n + 0*k = k + 4, 0 = n - 4*k - 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/4)*((g*g*(g\/(g*g**(-2\/19)*g))\/g*g)\/g)\/g)\/(g**7)**(4\/9) assuming g is positive.\nAnswer: g**(-2569\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0.3  (b) -0.06  (c) 133\/2  (d) 5  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of q**6\/180 - 3*q**5\/40 + 3*q**4\/8 - 31*q**3\/36 + q**2 - 42*q - 72. Find f, given that b(f) = 0.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 225 and 27.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*k**3*p**4 - 23*k**3*p**3 + 7*k**3*p + 56*k**3 + k**2*p**2 wrt p?\nAnswer: 72*k**3*p - 138*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -6*x + 4*x. Let j be (-1)\/(5\/x - -2). What is the second derivative of j*n - 4*n + 2*n**5 + 4*n - 3*n wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 150+-795076930\nAnswer: -795076780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j**5 + 2820*j**4 - 400420*j**3 + 786790*j**2 + 400425*j - 789610 = 0.\nAnswer: -1, 1, 2, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0 - ((-7 - -7) + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -22*s**3 - s**2 - 9. Let w be g(-3). Let y = w + -570. Solve 7*b + y = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24.3 + -25.3. What is the third biggest value in p, -0.4, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -335*p. Let q(v) = 338*v. Calculate 6*q(k) + 5*y(k).\nAnswer: 353*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2185, -362, 4.\nAnswer: -362, 4, 2185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1218*f**2 - 723*f**2 - 887*f**2 - 975*f**2.\nAnswer: -3803*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + 1223113010?\nAnswer: 1223113004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -p**6\/120 + p**5\/20 - p**4\/24 - p**3\/6 - 2*p**2. What is the least common multiple of f(2) and (-2)\/(-4) + (-9)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*c**3 + 35*c**3 - 5*c**3 + (3 + 1 - 3)*(c**3 - c**3 + c**3) + c**3 - 3*c**2 + 3*c**2 in the form o + j*c**3 + s*c + l*c**2 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -390*m**2 - 5*m + 393*m**2 - 34*m**3 + 3*m in the form k*m**2 + d + i*m + c*m**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 797973130*u**2 + 242255439 wrt u?\nAnswer: 1595946260*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.582 rounded to two dps?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 + 5*v**2 - 20*v - 43. What is r(-8)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4433 + 32012?\nAnswer: 22024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*v = -4*v + 12, 3*s + 421*v - 51 = -6*s + 386*v for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(-2)*10*(-1)\/(-1). Suppose c*v = 7*v - 254. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, 7950, -1, 0 in decreasing order.\nAnswer: 7950, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -68 - 0.02\nAnswer: -68.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j = 2*x + 2*j - 29, -3*x - j = -1. Suppose -x*u + 0*c + 22 = -4*c, -4 = 4*u + 4*c. Solve 0 = -4*r + u*t + 31, -r - 6 = 4*t - 2*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -5  (b) 0.01  (c) 3\/76  (d) 77  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mi when two letters picked without replacement from dpiwm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -818a + -3?\nAnswer: -8192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -3319*h + 2*h**2 + 3*h**3 + 0*h**2 + 93*h**3 + 3318*h. What is v(1)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/133614209 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10894187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3, -4, -19, -42, -73, -112?\n\"Answer: -4*w**2 + 5*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12465092219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/3 or 46928?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 888964.\nAnswer: 2, 17, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -16\/5*k**4 - 48 - 2\/5*k**5 + 6\/5*k**3 + 172\/5*k**2 - 88\/5*k = 0.\nAnswer: -6, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 0.1697\nAnswer: 0.06788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 82*q - 4423. Give z(54).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1535 and 22275920.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 1282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(60))\/sqrt(12) - sqrt(45)\/(sqrt(45)\/sqrt(5)))*-5 + ((sqrt(60) + sqrt(15))\/sqrt(3) + (sqrt(10)\/sqrt(2) - sqrt(5)) + -2)*-4.\nAnswer: -22*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of -b**3\/3 - 3*b**2 - 5*b - 4. Let h(u) = -2*u - 7. Let q(d) = -d**2 + 15*d - 3. Let y be q(15). Determine y*j(i) + 2*h(i).\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of -3 - 10\/3*c**3 + 3*c - 1\/4*c**4 - 11\/2*c**2. List the prime factors of r(-9).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -43 + 71. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102 (base 3) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**4\/3 - 2*l**3 - 5*l**2 - 8*l\/3.\nAnswer: l*(l - 8)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2100086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 PM and 11:29 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.35?  (a) 1\/15  (b) -3  (c) -4  (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/((-2)\/16*1). Let s = l + 62. Solve 5*p - 2*w = s, 0 = -3*p + 6*w - 3*w + 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 393*s - 3418. Calculate g(9).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 13, z: 6}. What is prob of picking 1 j and 1 z?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*f**4*g*q + 54*f**4*q - f**3*g**2*q - 2*f**2*g**2 + 4*f**2*g*q + 2*g**2*q - 4*q wrt f.\nAnswer: 48*f*g*q + 1296*f*q - 6*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 79878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 - 26*p + 173. Let r be k(15). Solve 2*z + 4*f - r = 0, 2*z - 4*f = -10 - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7218, 14431, 21608, 28743, 35830, 42863, 49836?\n\"Answer: -u**3 - 12*u**2 + 7256*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1457319653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -1*sqrt(5)*-3.\nAnswer: -2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 318, 635, 952, 1269?\n\"Answer: 317*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 588599 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 AM and 2:51 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 129\/129080 and 125\/154.\nAnswer: 1419880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2 - ((-80)\/(-440) - 6806\/(-5280)) and 19\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 - 5. Let o(f) = 140*f**2 - 5*f + 3. Let k be o(n). Suppose 8*c = 10*c - k. Calculate the remainder when c is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {q: 1, n: 2, h: 1, i: 3, y: 1, m: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 4*r - 9*r + 8*r. Let t(s) be the first derivative of 0*s + 2\/3*s**3 - 1 + 0*s**2. Calculate t(n(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2353 + -4?\nAnswer: -2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10.1 - 0.9. Which is the third biggest value?  (a) 4  (b) 1\/6  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 9 + 5*m**3 + 3 - 5.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-34)\/4 - 2\/(-4). Let s be f\/(-34)*1\/(-2). Let z = -2\/967 + -5792\/4835. What is the biggest value in s, z, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9554986, 9554918, 9554850, 9554782, 9554714?\nAnswer: 9554646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4693 + -14788. Let g be 1\/3 + (m\/(-21))\/(-11). Let l = 98 + g. What is the highest common divisor of 154 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27)\/9*-2*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 15025522 + 254?\nAnswer: 15025776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from qbbrrrkqkggqgkrk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 250*u**4 + 356*u + 11. Let x(p) = -50*p**4 - 71*p - 2. Let l(j) = -2*f(j) - 11*x(j). What is the second derivative of l(i) wrt i?\nAnswer: 600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-9)*f*((f**(-9)*f*f*f)\/f*f)\/f)**(-29) assuming f is positive.\nAnswer: f**406","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 8 - (13 + -15 - 17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*o + 1970 - 494. Suppose 5*c = -4*t + 269, 3*c - o = -3*t - 2*t. What are the prime factors of c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-10)\/a)\/a)\/(a*a*a\/(a**(6\/13)\/a*a)*a))\/(((a\/a**(-1\/6))\/a)\/(a**(-3\/8)*a)) assuming a is positive.\nAnswer: a**(-4705\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 AM and 6:25 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 334477 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2*z)*(-2*z + 3*z + 0*z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of x**2\/2 - 3*x + 1. Let t(n) = 4*n - n + n - 11. Let a = 8704 - 8698. Give a*t(p) - 22*d(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**2 - 2222935 + 2222935.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**3 - g**2 + g**2 + (-13*g**3 + 4*g**3 - g**3)*(4 - 1 - 2) in the form z*g**3 + c + m*g**2 + o*g and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-4788)\/19*52\/(-468)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1199, -4573, -10117, -17825, -27691, -39709, -53873, -70177?\nAnswer: -88615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9214 - 4096. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - 1 + 1)*((-3 + 0 + 2)*(1 - 5 - 2) + (3 + 0 - 4)*(-2 + 1 + 0)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.7 - -5. Let g be (-7)\/((-44)\/20 + 2). Let d = g + -32. Which is the biggest value?  (a) p  (b) -5  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.056045 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 75*r**2 + 84*r**2 + 68*r**2 + (38*r + 1285 - 1285)*(-2 + 2*r + 2) as z*r + f*r**2 + o and give f.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*m, 3*f - 6*f - 5*m = -15. Which is the third biggest value?  (a) -2\/9  (b) f  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77 + 151 + 1173*r - 74 + 584*r.\nAnswer: 1757*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - u**2 - u - 1. Suppose -9 = -2*h - 5. Let n(o) = 2*o + 0*o - 1 - 11*o**h + 3*o**2 + 10*o**2. Give -n(z) - 2*q(z).\nAnswer: 2*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-187)\/2)\/((-1139)\/804)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x. Let a(j) be the first derivative of -j**6\/120 - 8*j**3\/3 - 6. Let d(t) be the third derivative of a(t). What is d(f(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 - 3*u - 6. Let h be a(5). Suppose -k - 2*v + 8 = 0, -6*k + 4*k + 16 = -h*v. Suppose d + k = 3*d - 2*c, -6 = -2*c. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -1. Let i(l) = 10*l**2 - 30. Let u(w) = -i(w) + 30*n(w). Let s(y) = 2*y. Determine s(u(z)).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*t + 7 - 13. Sort -7, -1, t, 4.\nAnswer: -7, -1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14234480209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -64, -45, -26, -7?\n\"Answer: 19*r - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-15))\/(55\/(-3795))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 34821, 48891, 62961, 77031, 91101, 105171?\n\"Answer: 14070*x + 20751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 573 and 3686?\nAnswer: 3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1207632 by 2.\nAnswer: 603816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2982886.4 * -0.4\nAnswer: -1193154.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 5*s**2 - 2*s**3 - 2*s - s + s**3. Let r be a(4). Find the second derivative of 1 - 1 - 2*c**r - 2*c + 4*c**4 wrt c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 + 5*o - 4. Let s(m) = m**3 + 3*m**2 - 5*m + 1. Let j be s(-4). Suppose -4*p = -3*l - 15, j*l + p + 19 = -6. What is y(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65\/10 - 5 - ((17 - 9) + -7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1354\/1155 - -93\/35. What is the common denominator of -11\/15 and m?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8460 and 75.\nAnswer: 42300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -0.2\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 smaller than 1\/3771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-504)\/(-16))\/(-21))\/(((-12)\/4)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6135*y**2 - 3533*y**2 + 7277*y**2.\nAnswer: 9879*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c - 12 = -132. Does 10 divide (c\/(-3) + 1)\/(1\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-63)\/21)\/(3*7)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmrnrmpmrmzrzn. What is prob of picking 1 n and 1 r?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 95 - 94.8. Which is the closest to 1?  (a) -3  (b) -0.5  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*0*((-3 - 0) + 2). Solve z*v - 15 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = -3*z - 18, 7*f - 8*f + 2*z = -12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 4, -441, 0.1, 0.81, -4\/3, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*i + 101*i = 4*j, 5*j = -5*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000010701 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -25\/6 or 0.4?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 244\/80 + (336\/40)\/7.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of v**4 - 345913415*v**3 - v**2 + 232657899*v.\nAnswer: 24*v - 2075480490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 0.51  (b) 44  (c) -5  (d) -4  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3.8715811 and 1668.18?\nAnswer: 1672.0515811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 914703.6 decades?\nAnswer: 109764432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pzpl when four letters picked without replacement from pffzpfflfflfpffllzzf.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jpjjppj. Give prob of sequence jjpp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 60052.56 nanometers in centimeters?\nAnswer: 0.006005256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2283 + 2239. What is the nearest to i in -2, -2\/9, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, 4, 1, -11 in decreasing order.\nAnswer: 5, 4, 1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 20701.04 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2446 = 17*h - 2480 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 31389417 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 141041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 1 - 3)*(-7*k + 5*k + 12*k)*(-k + 0*k + 0*k) in the form t*k + l + a*k**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24 - -25. Does 1\/31 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -7*h + 2420. Let o = -193 + h. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the third derivative of p**8\/20160 + p**5\/60 + 2*p**2. Let b(j) be the third derivative of m(j). Let d(x) = 92 + 4*x - 195 + 103. Calculate b(d(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1.61 * -0.03878\nAnswer: -0.0624358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 8*g**2 + 107*g - 4. Let n(r) = -18*r**2 - 215*r + 9. Give -3*n(x) - 7*y(x).\nAnswer: -2*x**2 - 104*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61 = -164*i - 15 + 404 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1170399311 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 9*c**2 - 3*c + 5. What is the remainder when g(3) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/11959899 and -83\/6024.\nAnswer: 95679192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**2*v**(4\/5))**(3\/10) assuming v is positive.\nAnswer: v**(21\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -54.9 times -50.7\nAnswer: 2783.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 90*d - 91*d + 5, 0 = -9*b - d + 104 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*u + 26 = -32*u - 34 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -1\/15  (c) -0.1  (d) -11  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 81 + 67. Suppose y = 5*w + 80, -w + k = 2*y + 32. Let c = -44 + y. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2251.330518 to the nearest 10.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 - (9\/(-36)*-43 - (-15)\/12)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 6) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -532 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -2*b + 40. Suppose -5*y = -2*p - 9, -b*y + 4*y + 20 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.2  (b) -13  (c) 35  (d) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10573 + 10572.999995453. Round z to seven decimal places.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10081942091 to the nearest one hundred thousand.\nAnswer: -10081900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 64580107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12371*r - 12333*r = 871530. Is r a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 28854 + 43?\nAnswer: 28897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3629179 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280*u = 274*u - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 4246*l = t + 4151*l - 1617, t + 19 = -l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -10. Suppose 12*d = 31*d + 11*d - 120. Let i be (24 - 0) + -3 + 4. Solve 9*z - d*z - i = m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2255658 is divided by 375942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2 = 0, 2*w - w + 2*n - 146 = 0. Suppose -2*v = 9*m - 5*m - 504, -m + 4*v = -w. What is the highest common divisor of 320 and m?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -3 + 16*v + 0 + 0 + 3*v. What is the units digit of m(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 8\/9  (b) 0.3  (c) -0.25  (d) 1\/9  (e) -0.112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - j + 15 = -x, -3*x + j + 13 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 82875 a multiple of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26300520.\nAnswer: 2, 3, 5, 43, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2185 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does -2\/18952743 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 less than 0.747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 5*v = -2*a + 56, v + 16 = a. Let k = a - 0. Suppose 5*o - 56 = -2*z - 0*o, z = 3*o + k. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 24249, 24251, 24253?\n\"Answer: 2*k + 24247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -41036017*t**2 + 72635043*t?\nAnswer: -82072034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 247*d**5 - d + 1.\nAnswer: 4940*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*(z\/z**(1\/6)*z*z)\/z)\/z)\/z**3)\/(z\/(z\/z**(-2\/9))*z*z\/(z*z\/((z**(4\/3)*z)\/z))) assuming z is positive.\nAnswer: z**(-41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 PM and 3:09 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (42\/8)\/((-36)\/(-144)). Solve -6*p - 3 = -a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-240)\/(-70))\/(1\/7). Suppose 10*p = -i*p + 2380. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ogu when three letters picked without replacement from uugguauggo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10845726, -21691447, -32537168, -43382889?\nAnswer: -54228610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/669, -2.4, -3 in descending order.\nAnswer: 2\/669, -2.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 AM and 8:41 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/28 - 53\/60?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43340.\nAnswer: 2, 5, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**2 - 64524*v - 520418322.\nAnswer: -2*(v + 16131)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -93903*n + 657309. What is h(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 4504768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 - 3*p + 2. Let c(h) be the third derivative of -h**5\/30 - h**4\/8 + h**3\/2 + h**2 + 9. Determine -2*c(t) + 3*x(t).\nAnswer: t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 273139597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1303168 and 203620?\nAnswer: 6515840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, x: 7, v: 5, e: 3}. Give prob of sequence evxv.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 1 + 3*k - 1 - 3*k + 3*k + 2*k + (-2*k + 2*k + 2*k)*(-2 + 3 - 3) + 0*k + 3*k - 2*k.\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -5041000 to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 620.805 + -2.805. Which is greater: -1\/8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 67 + -73. Sort n, -5, -8.\nAnswer: -8, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 11824*i - 11819*i = -23653*i - 155, 2*i + 32 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48363*s - 1320 = 48451*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 59 - 108 + 48 - 24*k to a*k + d and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-16 + 35 + 11*z - 21)*(2*z + 0*z - 3*z + (z + 3*z + 0*z)*(5 + 3 - 4)) to the form v + b*z**2 + h*z and give b.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3754, 3885, 4038, 4213, 4410, 4629?\nAnswer: 4870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 272050966 and 374?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1553*t + 7968 - 53005 = 0 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the third derivative of -1\/14*c**7 + 0*c**3 - 1\/24*c**6 + 5\/12*c**4 + 0 - 5\/336*c**8 + 12*c**2 + 1\/4*c**5 + 0*c. Find w, given that u(w) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.01 - -1.48. Let a = t + -0.47000193. Round a to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -208*d**2 + 6*d + 11. Let t(m) = -92*m**2 + 3*m + 5. What is 3*b(z) - 7*t(z)?\nAnswer: 20*z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/307  (b) 33  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(153)*1)\/(sqrt(27)\/sqrt(3)*5).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 + 7*i + 3. Let v(z) = -7*z - 118. Let d be v(-16). Calculate q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -332044 divided by -19532\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eelnlelehelelheeeeho. What is prob of sequence oenh?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6500*b**4 - b**2 + 750*b wrt b?\nAnswer: -156000*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 166 and 4399?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of -5*j**4\/8 + j**3 - j**2. Find the first derivative of n(m) wrt m.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h**3 - 12632732*h**2 - 19948189191954*h + 159586322031504 = 0. What is h?\nAnswer: -3158187, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -2\/9  (b) 3  (c) -4  (d) 0.161  (e) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 326, 448, 570?\n\"Answer: 122*g + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of 3\/2*t**2 + 0 + 48*t + 5\/6*t**3. Let d(k) = -2*k. What is a(d(g))?\nAnswer: -10*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - 1 - (14 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2 - 8*f + 5. Let s(l) = l + 11. Suppose -8*a + a = 0. Let p be s(a). What is the units digit of b(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (60\/18)\/((-75790)\/2574)?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - v - 2*v - 8 = 0, 0 = -5*r - v + 6. Suppose -3*b + 10 = -r. Solve -5*d = -2*o - 31, o + b = 5*d - 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 - 8*s**2 - 830*s - 4915. Give i(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -84\/121 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 PM and 12:29 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10608 or 53033\/5?\nAnswer: 10608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -106 - -114. Suppose 5*v - w = r, 4*r - 2 = 2*v + v. Sort 1, v, -21.\nAnswer: -21, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-4 + (sqrt(243) - (sqrt(243) - sqrt(243)*-1)) - (sqrt(243)*-2 + -3) - (sqrt(243)*-2 + -5 + sqrt(243) - (-4 + sqrt(243)*1))))**2.\nAnswer: 78732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 64\/288 + (-4)\/18. Is k less than 10\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -10)\/(16 + -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 45*c - 140. Let f be m(3). Let a(w) = -35*w - 157. Let x be a(f). Solve -20*l + x*l = -6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**4 + 28*b**3 - 51*b**2 - 572*b - 700 = 0 for b.\nAnswer: -2, 7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2399.0454s to hours.\nAnswer: 0.6664015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129*n - 845639 = -187*n + 296701. What is the smallest common multiple of n and 2169?\nAnswer: 10845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 528\/(-64) + (-36)\/(-16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 3*s = -s + 38, 0 = -5*s + 10. Is (-2)\/6 - (-32620)\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900)*-1 + -1 + 2)**2.\nAnswer: -20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1133723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 242708 != 242720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 3*j - 4 = -13, 0 = -4*p - 3*j + 9. Suppose p = -3*x - 3*l + 156, 3*x = 2*l + l + 174. Let t = x - -18. List the prime factors of t.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 125.5 - 126. Let x = -2 + 1.6. Which is the fourth smallest value?  (a) 2  (b) q  (c) x  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 890 a factor of 20017880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i**2 - 2210187*i + 2210190 = 0. Calculate i.\nAnswer: -736730, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/7))**(11\/6)*(c**(-2\/3))**(6\/13))\/(c**(-1\/17)\/(c**8\/c))**(-1\/11) assuming c is positive.\nAnswer: c**(-75209\/51051)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.059, -0.3, 5, 625, -5, 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 113 - 31*k - 2*k**3 + 3*k**2 - 229 + 117 in the form y*k**2 + r + o*k + n*k**3 and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 112310544 - 3?\nAnswer: 112310541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 942 + -894. Suppose 0 = -m*n - 7508 + 66308. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-4))\/(((-15)\/(-170))\/(12480\/1248))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5442216.7 rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 0.5  (c) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-60))\/((14\/(-8))\/(-7)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 6) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -6. Suppose -2*i - 3*x - 3 = 0, -3*x = -5*i - 8*x. Sort i, w, 4 in decreasing order.\nAnswer: 4, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5665.8282 - -0.4.\nAnswer: 5666.2282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-5\/3)*f**(2\/5))\/(f**(-5)*f)**(-2\/21) assuming f is positive.\nAnswer: f**(-173\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -41911 or -41913?\nAnswer: -41911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 79942 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-225)\/90)\/((-1)\/42) is divided by 100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 831 - 831 - 22*w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h**2 - 2*h**2 + 3*h**2 + (-2*h - 5*h + 2*h)*(2*h + 11*h + 9*h) - h**2 + 2*h**2 - 2*h**2.\nAnswer: -107*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -35.2 + 99.2. Let s = -0.033 + 63.033. Let l = p - s. What is the biggest value in -16, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*1890.668\nAnswer: 945.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**9)**(-31) assuming m is positive.\nAnswer: m**(-279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -4*i**2 - 13. Let b(d) = -2*d**2. Calculate q(b(k)).\nAnswer: -16*k**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 0)*(21*k - 11 + 11).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 579750437.\nAnswer: 7, 31, 2671661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 157 - 7c261?\nAnswer: -7c109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -44070 * -8086.\nAnswer: 356350020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -6 - ((7 - 6)\/(-1) - 3). What is the closest to -3 in -0.1, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 1 + 1)*(0 + 2 - 1)*(-65 + 9*h + 170 - 8*h) as m*h + w and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2877 plus -17?\nAnswer: -2894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9992 + 0.2.\nAnswer: -9991.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3508654900.\nAnswer: 2, 5, 29, 97, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of 4\/3*f**3 + 11 + 64*f - 16*f**2. Suppose v(d) = 0. Calculate d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2))**(-5)*(m*m**(-2)*m)\/m**5 assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5359816*k**2 - 5*k - 6728966?\nAnswer: 10719632*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -302 - 790 = -13*d. Let b = 89 - d. Solve b = -8*o + 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4485 - 2236. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*s)*(1 + 1 - 3)*(-6 + 2 - 1)*(16*s**3 + 4*s**3 - 4*s**3).\nAnswer: -160*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -219?  (a) 4  (b) 2  (c) -4\/7  (d) -246  (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1689 divided by -11\nAnswer: 1689\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of -845 and -86.\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.93 - -3.073. Round u to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j**3 - 380*j**2 + 293*j + 16186. What is a(189)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-20)\/3)\/((-1)\/(-426)). Let j be (29862\/(-135))\/(-7)*((-3)\/(-3) - -49). Let u = j - l. Round u to the nearest one hundred.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1358171 is divided by 1358128?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n + 7*n = -308. What is the highest common factor of 242 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 + 1. Let u be v(1). Suppose u = -z - z. Solve 1 = -z*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 561720\/50840 - (-4)\/(-82).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - 53*c**2 - 171*c + 164. Determine g(56).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17431138 and 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/1044 and 29\/5?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1321 + -11112?\nAnswer: -13033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 64667866 to the power of 1\/2, to the nearest integer?\nAnswer: 8042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4\/235 + 19196\/23265. Calculate the common denominator of -49\/90 and f.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(342)*-4)\/((2*sqrt(18))\/sqrt(9)) - (5 + sqrt(1539)*1 + -5))*2.\nAnswer: -30*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - k + 4*k + 4, 0 = b + 4*k + 14. Suppose s + 3 = b*s. Suppose 5*x - 864 = v - 4*v, s*v + 4*x - 867 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25\/10*(5 - 5768\/1160)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*c, 0 = y - 2*c + 3 - 2. Let x be 4 - y - 294\/(-2). Suppose k - 3*k = -3*t + 238, 2*t = 5*k + x. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 10:05 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 16*j**4 + 753788*j**3 + 565296*j**2 - 1695988*j + 376888 = 0.\nAnswer: -47111, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of 0 + 0*b**4 + 11\/6*b**3 - 13\/30*b**6 + 13*b + 0*b**5 + 0*b**2. Find the second derivative of c(v) wrt v.\nAnswer: -156*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -54*k**2 + 65*k**2 - 738*k**2 + k + 1436 with respect to k.\nAnswer: -1454*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 3*u = -272. Suppose -3*t + 0*t + 363 = 0. Let k = t - u. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of w**7\/105 - w**6\/20 + w**5\/15 + 6*w**2 + 1. Let x(s) be the second derivative of h(s). Factor x(p).\nAnswer: 2*p**2*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 68*g**3 + 3*g - 70*g**3 + 3*g**2 - 1 + 3 to t*g**2 + w*g + c + i*g**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h, 1 t, and 1 q when four letters picked without replacement from {h: 5, c: 6, q: 4, t: 5}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**2 + 2*p**2 - 5 + 5)*(-1 + 0 + 35).\nAnswer: 34*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 187630\/2755 + (0 - 34\/323).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = -8, -149*r = -152*r - 4*f + 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of -9*x**7\/35 - x**4\/24 + 7*x**3\/6 + x**2 + 34. Find the second derivative of o(z) wrt z.\nAnswer: -648*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 4*h - 19. Suppose -156 = 3*w + 4*m, -4*w + 2*w + 5*m - 127 = 0. Let l = -45 - w. What is the tens digit of x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237 is divided by 70.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3*(-4)\/(-42))\/((-12)\/42). Let y = 2 + 1. What is the remainder when y is divided by (2\/1 - 3)*(0 - w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 j when three letters picked without replacement from {e: 4, j: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17102 is divided by 17004?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 127159 - -597.8\nAnswer: 127756.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23391 - 28782 = 3458*l - 192460 - 169105 for l.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + h - 1. Let x(m) = 2*m**3 + 6*m**2 + 4*m + 6. Let q(o) = x(o) + 6*y(o). Factor q(v).\nAnswer: 2*v*(v + 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10629631 to the nearest integer?\nAnswer: 3260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ehhheehehehheqehhhee. What is prob of picking 1 h and 3 e?\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(3\/(-14)) + -4. Let q = 722.5 - 723. Sort -0.25, -2, t, q in descending order.\nAnswer: t, -0.25, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 6*w**2 - 2*w - w**3 + 3*w + 0 + 3*w - 6. Let m be z(7). Let f be ((-2)\/8)\/(m\/24). Which is the closest to -2?  (a) 2\/5  (b) f  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3619*v**4 + 97*v**3 + 40*v**2 - 19*v**3 + 36*v**3 - 3599*v**4 - 6*v**3.\nAnswer: 4*v**2*(v + 5)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 67 = -57 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - g + 0)*(2*g**2 + 1 - 1) + 10*g + 12*g + 3*g**3 - 2*g**3.\nAnswer: -g**3 + 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 26*p**2 + 91*p - 84. Let k(v) = 12*v**2 + 44*v - 41. Give 11*k(y) - 5*s(y).\nAnswer: 2*y**2 + 29*y - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-3)\/(-5)*5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 478343 to the power of 1\/2, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-14))\/(4\/(-6)*(-52155)\/(-32452))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 - -21. Calculate the remainder when 0 + (-1*23)\/(-1) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8964 - -8963.9999471. Round u to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -71?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -828 - -837. What is the third derivative of -44114*r**3 + 43994*r**3 + i*r + 20*r + 3*r**2 wrt r?\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 AM and 6:00 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + 0*v + 0*v)*(2 - 3 + 0)*(7 + 0 + 3).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 9) + (-21 - (30 + -16 + 10 + -6))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.1 + 0.4. Let p = v + -1. Let q = -0.6 - p. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -4, 2 in descending order.\nAnswer: 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.17 and -9.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + (-2)\/(-3)*-6. Let l = 29 - q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123*w + 588 = 3*s, -4*s - 2*w + 2581 = 2627 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/54 - (-1398)\/27. Let h(q) = -q**3 - 7*q**2 - 8*q + 1. Let x be h(-6). What is the highest common factor of x and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9601 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3\/9 + 4*x**2\/3 + 2*x\/9 - 20\/3.\nAnswer: -2*(x - 5)*(x - 3)*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 2416.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 504253 is divided by 20989.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1734555979.5 rounded to the nearest 1000000?\nAnswer: -1735000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -154643 - 17*l + 25*l - 9*l.\nAnswer: -l - 154643","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98*v + 310 - 16 = 0. Suppose 0*n + n - s + 7 = 0, -18 = -n - 4*s. Let x(f) = -f**3 + f - 1. Let d be x(n). Sort v, d, 1 in increasing order.\nAnswer: 1, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-2)*(-108)\/(-162)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 276 and -0.05916769663.\nAnswer: 275.94083230337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/1462 and -179\/784380.\nAnswer: 33728340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 2*i + 2 + 48 = 0, 4*i + 130 = 5*g. What is the least common multiple of g and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17928*c*m**2 + 2*c*m - 26853*c + 443*m**2 + 120 wrt m?\nAnswer: 35856*c + 886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-20)*2040\/34)\/(14\/(-6)).\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 2*o - 6, 4*w + 22*o + 9 = 25*o. Let a be -3 - (2 + 1 - 3). Sort a, 7, w, -8 in decreasing order.\nAnswer: 7, w, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 - 12*i**2 + 8*i - 46. Let g be d(12). Let w(z) = 3*z**3 - 3*z**2 - 11*z + 10. Let u be w(8). Suppose 52*o - g*o = u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of z**3\/6 - z**2\/2 + 26*z - 1. Let h be (1\/2)\/((-1)\/(-2)). Let x be m(h). Solve 2*k + 11 - 1 = x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50684.\nAnswer: 2, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 356899?\nAnswer: 173, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -5*n + 855, -3 = -n - 0. Suppose 4*l - l = h. Suppose 4*i - 6 = l. What is the remainder when i is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48927870 is divided by 489.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2196 divided by 549?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v - 70 = 6*v. Suppose -g - 10 = -4*g - 4*y, v = 5*g + 4*y. Solve 1 = g*p - p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 96\/(-56)*28\/8. Put l, -1\/8, -4\/7 in increasing order.\nAnswer: l, -4\/7, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 10 - 593?\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2\/11, -19, -3\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert f (base 16) to base 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3890*j**6 + 2*j**4 - 11245*j**2.\nAnswer: 466800*j**3 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29\/182 - 3\/13. Put 3\/2, 0, g in decreasing order.\nAnswer: 3\/2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -5*h**3 + 11361835*h**2 - 6454627218000*h + 70999524622620 = 0.\nAnswer: 11, 1136178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 + 13*q - 7. Let z be h(13). Let w(k) = -2*k - 1. What is the remainder when 50 is divided by w(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -2*m - 2, -11*q - 5*m + 47 = -7*q. Let d(t) = 3*t**2 - 13*t + 29. Is 19 a factor of d(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 5*z**3\/3 - 269535*z**2 - 117213635*z - 38178583975\/3 = 0.\nAnswer: -217, 162155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (9 + -99 + (7 - (18 + -4) - -10))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216 = 4*p - 4. Let c(z) = -24*z. Let v be c(-3). Let r = v + p. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1643, 6117, 13583, 24047, 37515, 53993, 73487, 96003?\n\"Answer: q**3 + 1490*q**2 - 3*q + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1269346, 2538707, 3808084, 5077477, 6346886, 7616311?\nAnswer: 8885752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of -1\/27*i**3 + 2*i - 1\/9*i**2 + 3 + 1\/90*i**5 + 1\/54*i**4. Let k(r) be the first derivative of o(r). Factor k(l).\nAnswer: 2*(l - 1)*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 925393429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20623 + -20655. Put v, -9, 2 in ascending order.\nAnswer: v, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 + 2*r - 3. Let n be l(-4). Suppose 0 = s + 2 - 6. Solve -s*v + n*p = 26, -v = 4*p + 1 - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -3, 7 in descending order.\nAnswer: 7, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 22989209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22965, 45514, 68063, 90612?\nAnswer: 113161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 60390 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 + 3*v**2 + 3*v + 5. Let x(h) = -5*h**2 - 3 - h - 6 + 4*h**3 - 3*h**3 - 4*h. Give -5*p(n) - 3*x(n).\nAnswer: 2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 63*t**5 - 7*t**4 - 5513*t**3 - 45*t**2 - 15732*t wrt t?\nAnswer: 3780*t**2 - 168*t - 33078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -2*t + 3*n + 4862, -954 = -t - 4*n. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2268179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/5, 0.16, 5\/2, -2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -777*f**3*s - 1438*f*s + 13173953*s wrt f?\nAnswer: -2331*f**2*s - 1438*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 0*y = -4*k, -5*k = -215*y + 218*y - 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (4\/2)\/((-161)\/(-23))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-18 + 0)*(-5 + (-50815)\/30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4076713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -250, -591, -1108, -1843, -2838, -4135, -5776?\nAnswer: -7803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 2\/9, -2\/231, 0.5, -2\/11, -3\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1221335567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - 4 - -2 - (0 - 6 - (-141 + 151)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -216*c - 3600 = 144*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + -2. Let f(o) be the second derivative of o**5\/20 + o**4\/4 - o**3\/2 + o**2\/2 + 75*o. Give f(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 60008 and 420160.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.009732355 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*x + 26*x + 19*x in the form p + y*x and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 172 = -184 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.09 != 0.339841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*x**4 + 6140*x**3 - 12596*x**2 + 7108*x - 568 = 0.\nAnswer: 2\/21, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1952558526 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-6) + ((-136)\/(-12) - 5). Let h = s + -19\/3. What is the third biggest value in -0.4, h, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fffkffff. Give prob of picking 3 f and 1 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = -4*i + 20. Let v = 15 + i. Calculate the remainder when (-10*1)\/(v\/(-15)) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -4*k + 410. Suppose -2*h + 7 = 4*o + k, 3*h + o = -277. Let r = h - -135. What is r rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q**4\/6 + 8*q**3\/3 - 44*q**2\/3 + 32*q - 24 = 0 for q.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6, -0.04, 18565?\nAnswer: 18565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, g: 1, q: 3, k: 1, v: 1, d: 3}. Give prob of picking 1 v and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in 19.3, -1\/4, 3, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 + 2*i**2 + 3*i**3)*(-2 + 4 - 3) + 47*i**2 + 23*i**3 - 47*i**2.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n + n + 4*v + 5, -4*n - 3*v - 4 = 0. Let j = 25 + -21. Let x = j - n. Solve -4*i + 5*i + 2*p = x, -2*p + 11 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -256928 divided by 37.\nAnswer: -6944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -6*n - 77. Let g = -127 + 114. Let f be p(g). Put f, -1, 12 in ascending order.\nAnswer: -1, f, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u - 6. Let c be k(-4). Let g = 39 + -29. Suppose 2*p = g*p - 56. Solve -p + c = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/2)\/(70\/70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -436, 38, -1, 7 in ascending order.\nAnswer: -436, -8, -1, 7, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = -7*b + 50, -4*i - 3139 = -5*b - 1094 - 1084 - 1035 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -1.4062?\nAnswer: 0.28124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3586*h**2 + 5 + 6 - 6 - 6.\nAnswer: -3586*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 + -13. Suppose 235 = 5*b - 4*k, z = -b - 5*k + 24 + 52. What is the remainder when 99 is divided by b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3506 a factor of 478018558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24539 = -12590*r + 12127*r for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -5*m, -5*j + 5*m + 128 = -212. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/729799 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/2634 and 57\/1354.\nAnswer: 1783218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 34956 less than 3.775?\nAnswer: -34952.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 362965199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 53 - 530. Find the common denominator of 11\/4 and (n\/(-6))\/(0 - 27).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1\/9, -13\/135, -8, 730\/7?\nAnswer: -13\/135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2*f + 1440 = 0, -2*f + 396 = -2*q + 3264. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a**5\/6 - a**4\/2 + a**3\/6 + a**2\/2 - a\/3 = 0. What is a?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -109*k + 3972. What is w(37)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m + 3*m + 2*m + 8*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 53382030 < 53382028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1216015*y**3 - 2025388*y**2.\nAnswer: -7296090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of -31*d**2\/2 - 252. Let t(g) = -10*g. Give t(z(k)).\nAnswer: 310*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.09 + -172\nAnswer: -172.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 42*s**2 - 47*s**2 - s**3 + 0 + 1 - s - 2. What are the prime factors of p(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ao when two letters picked without replacement from aoooaoooaooooooo?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h - 1. Suppose -3*v = 4 - 13. Let m(d) = 356 - 357*d**2 + 329*d - 92*d - 147*d**3 - 395. Let y(l) = v*z(l) - m(l). Determine s, given that y(s) = 0.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9410 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 612617820 rounded to the nearest 100000?\nAnswer: 612600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 2*j + 16, -3*j = 2*z - 7*j + 46. Let v = 7 - z. Find the common denominator of 95\/24 and (((-18)\/8)\/3)\/(72\/v).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -486*h. Let g(l) = 2*l. Calculate b(g(w)).\nAnswer: -972*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -47.2 + 46699283?\nAnswer: 46699235.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 365 - 241. Suppose 0 = 3*c + 5*t - w, -4*t + t - 70 = -2*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 - 23*z**2 - 25*z + 36. Calculate the smallest common multiple of 2 and l(24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate o**2*y - 7017*o**2 - 589328*y + 202 wrt y.\nAnswer: o**2 - 589328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + x = -9*d + 105, -4*x - 156150*d + 156149*d + 162 = 0 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 PM and 11:55 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-4*6\/(-36))\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -8*m - 49. What are the prime factors of k(-20)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes before 4:04 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2055 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 9942926909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**4\/5 + 27*d**3\/5 + 7*d**2\/5 - 39*d + 162\/5 = 0. Calculate d.\nAnswer: -3, 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 3:12 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 289*g**5 - 9*g**4 - 78*g**2 - 142058*g.\nAnswer: 5780*g**3 - 108*g**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8843094003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence okoo when four letters picked without replacement from eeeeopeeeeoekoeoe.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xexwfxfwwccxcxfxsc. Give prob of picking 2 w, 1 e, and 1 f.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1213 + 4256 = 179*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58831869 is divided by 264.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10974\/885 + -3*2\/15. Solve d*m + 47 = 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (12 + (-5 - -3))*174\/435. Solve -4*d = -2*o - 16, -5 = u*d - 3*d + 4*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 844 (base 11) in base 5?\nAnswer: 13031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 198.2553 millennia in decades?\nAnswer: 19825.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 8*y**3 - 6*y**2 + 8*y + 8. Let j(i) = 17*i**3 - 13*i**2 + 17*i + 16. Determine -6*j(q) + 13*t(q).\nAnswer: 2*q**3 + 2*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 - 6*l + 158. Calculate o(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 0.026\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 87525120 divided by 69?\nAnswer: 1268480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3*t**2 - 31*t + 110\/3.\nAnswer: (t - 22)*(4*t - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 + 3*n + 3. Let j(m) = 3*m**2 + 8*m + 8. Let l(c) = -8*i(c) + 3*j(c). Factor l(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1782)\/(-55))\/(-6))\/(972\/810)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.07, 0.2, -0.1, 4\/13?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*n - 3416 = -17*n. Calculate the remainder when 551 is divided by n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16367 is divided by 16345?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 14*n**3 + 2*n**2 + 2*n - 4. Let z(i) = -2*i**2 - 104*i + 1. Let l be z(-52). Let y be g(l). Solve j + 3*w - y = -2*w, -4*w = -2*j - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36272.\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 2  (c) -7673\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (70*h + 81*h + 323*h)*(6*h**4 + 0*h**4 - 4*h**4).\nAnswer: 948*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3571*y + 156473 - 220751 = 0 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 5*f - 1. Let i be d(3). Let p = i + -10. Let m be 2\/p*114\/3. Calculate the highest common factor of 95 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 10:54 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -293064581807 - 25?\nAnswer: -293064581832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/11 - 10*x\/11 - 12\/11.\nAnswer: 2*(x - 6)*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7083450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2. Suppose 5*p - 35 = -2*p. Let l(f) = 4 - 9 + 13*f + p. Determine l(v(n)).\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 154*d + 7*d = 13524. Suppose -3*f - 12 = -75. What is the highest common divisor of f and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -2\/61, -5, -1\/3?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + -3. Suppose -68 = -p*o - 3*s, -32 = -2*o + o + 3*s. Let f = -14 + o. Solve k = -k - f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.605 + -1.105. Put p, 1\/7, -5, 11 in decreasing order.\nAnswer: 11, 1\/7, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*h + 150 = -18*h. List the prime factors of (43 - h\/5) + 3.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*i - 6*i + i + 3*i - 4*i + 0*i + (i + i - i)*(1 + 1 - 4) - 6*i + 2*i + 2*i - 2*i + 3*i - 3*i + 100*i - 235 + 2*i + 233.\nAnswer: 85*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 471\/22 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*m = -197*m + 94*m - 633 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*h**3 - 19*h**3 + 59*h**3 + (-h + 1 - 1)*(0*h - 3*h**2 + 0*h) + 692*h - 692*h - 30*h**3 to m*h + l + z*h**3 + y*h**2 and give z.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u. Let z(j) = 7*j. Let r(a) = 14*h(a) + 5*z(a). Let p(g) = 446*g. Let d(l) = 1220*l. Let i(q) = 4*d(q) - 11*p(q). Calculate r(i(s)).\nAnswer: -182*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 40188864 or -1\/3?\nAnswer: 40188864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-28657442.\nAnswer: 28657442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*h*v*z + 46480*h*v - 16*h*z - v*z + 5*v - 114137*z wrt v.\nAnswer: -2*h*z + 46480*h - z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/1722 and 13\/564242.\nAnswer: 1692726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -8240237.7 rounded to the nearest 100000?\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y - 77*y - 142*y)*(-54*y**3 + 17*y**3 - y**2 - 33*y**3).\nAnswer: 15050*y**4 + 215*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/11))**(-1\/21)*y**(1\/12)*y**(-25) assuming y is positive.\nAnswer: y**(-7677\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -74 + 74. Let g = 9 + -9. Suppose -3*j + y + 12 = g, 0*y = y. Which is the biggest value?  (a) i  (b) j  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b**(4\/15)*b)\/b)\/b**(-3\/2))\/(b\/b**(-2\/19)*b**5))**20 assuming b is positive.\nAnswer: b**(-4946\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300) + -2 + sqrt(300) + 1 + -3 + -4)**2.\nAnswer: -320*sqrt(3) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/8, 2, -43, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 3*m + m**2 - 2 + 2*m - 11*m - 8*m. What is the tens digit of q(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 75 = 100. What is the remainder when 14\/d - (-73)\/5 is divided by 1\/(-3) - (-25)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -187 + 188. Let g(c) = 58*c**3 - 1. Let a be g(h). Calculate the greatest common divisor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 15, 5, -2, -1, 451, 7 in descending order.\nAnswer: 451, 15, 7, 5, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 26*r**3 - 5*r**2 + 103*r - 17. What is the thousands digit of h(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1821*d = 1799*d + 358776. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1269 + 1260. Let g(k) = -k**2 - 10*k - 6. Calculate g(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60625597?\nAnswer: 4327, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 h when three letters picked without replacement from {h: 2, m: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 240953?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) -3  (b) 1  (c) -14  (d) -2\/19  (e) 308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3)\/2*(-88)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -a + 3*a. Suppose -i - 2 - 16 = a*u, 30 = -4*i + u. Let m = i + 29. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1359, -576, -8993, -27132, -58233, -105536, -172281, -261708?\nAnswer: -377057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = z + 186. Let d(t) = z*t + 3*t + 14 - 43*t + 58*t. Is d(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*k - 3. Let l = k + -3. Solve 0 = -4*i - l*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 9 = -3*u - 0*j, 0 = -5*j + 15. Suppose u*o = -4*o + 56. Let d(a) = a**2 - 9*a + 13. Is d(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2 + 13*k + 18. Let f be u(-11). Does 4 divide 2 + 6 + f\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 242072251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/11 - 384*f\/11 + 18432\/11.\nAnswer: 2*(f - 96)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x**2. Let y(v) be the second derivative of -133*v**4\/4 - 3*v**2\/2 - 29*v + 18. Determine f(y(p)).\nAnswer: 318402*p**4 + 4788*p**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.11 - -0.2. What is the smallest value in c, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1103, 1131, 1159, 1187, 1215?\n\"Answer: 28*t + 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1290 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/10*(7084\/(-154))\/(-2116)?\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 9*q - 20. Suppose a - q*w = -w - 10, -3*w = -a - 7. Suppose -a*i - 2*i = -1772. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 4*j + 486. Let h = j + -54. Solve p = -h*p - 2, -3*q + 5*p = -10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 52, 104, 204, 358, 572, 852?\n\"Answer: a**3 + 18*a**2 - 9*a + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 2 = 8. Suppose 2*l = -0*l + 5*p - n, 3*l = 4*p - 3. What is the units digit of 6 + 2\/(0 + l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + 6*(-5)\/(-1). Suppose 27 + j = 4*o. What are the prime factors of (5 - o)*1\/(4\/(-42))?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3507105\/8 - -10418401\/24. Let r = y + 4282. What is the common denominator of r and 63\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o**4 - o**3 - 2*o + 1. Let x(u) = 803*u**4 + 4*u**3 + 8*u + 588. Let h(i) = 4*f(i) + x(i). What is the first derivative of h(b) wrt b?\nAnswer: 3180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 - 9*q**2 - 5*q + 22. Give y(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r**2 - 4*r**2 + 6*r**2 + (4*r - 3*r + r)*(3*r - 3*r - r) + r**2 + 1 - 1 + r - 2*r**2 - 3*r + r**2.\nAnswer: -3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 - 2. Suppose 0*y = 5*y - n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 3 + 13)*(2*q - 2*q + 2*q) + (-1 + 0 + 2)*(4*q - 4*q - 2*q).\nAnswer: 38*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-a**2 + 6*a**2 - 3*a**2)*(-2*a + 7*a - 2*a) - 11450 + 11450 - 13*a**3 - 2*a**2 to o*a**3 + m + l*a**2 + s*a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -274 - -204. Let p = a + 702. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 4*x + 3. Let w be u(-8). Let c = 34 + w. Sort -1, c, 1 in decreasing order.\nAnswer: c, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t + 0*t + t)*(-3 - 1 + 2) - 9542 + 404*t + 9542 + 0*t - 6*t - t to j*t + s and give j.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddhheq. What is prob of sequence dhhq?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*w**4 - 2420992*w**3 + 63173*w + 234 wrt w?\nAnswer: 48*w**2 - 14525952*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 10*o**3 + 10)*(o**2 + 4*o - 4*o) - 6*o**5 + 5*o**5 - 11*o**5.\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(800) + (sqrt(800) - (sqrt(800)*-2 - sqrt(800)))))\/((sqrt(120)*2)\/sqrt(12)*-2).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 - (-58 + -4 + 1). Let x be (w\/(-18) - -3)*-2. Which is the nearest to 3?  (a) x  (b) -1\/12  (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - b + 5*b - 119, 0 = -2*c + 4*b + 42. Let t = 47 - c. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -3*d - 37, -2*k - d - 21 = -4*k. Let t = -11 + k. What is the remainder when 8 is divided by (t - (-3)\/(-3)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9\/7*s**2 - 1\/7 + 6\/7*s + 4\/7*s**3.\nAnswer: (s - 1)**2*(4*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 815 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of 3*r**6\/20 - 191*r**5\/20 - 815*r**2. Find the third derivative of m(d) wrt d.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2800 and 146650.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -9*d - 97. Let h be n(-15). Suppose i - 5 = 3*y - h, 3*y = -2*i + 42. Solve 0 = 6*w - 10*w - y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 231213817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1107a7 (base 11) to base 4.\nAnswer: -223020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7627*a**2 + 7626*a**2 - 30486*a**2 + 7612*a**2 + 7623*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -75 minus 70?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 117 + -1 - ((96 - 101) + -1 + -4 + 15)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (5 + 1 - 9700\/(-12))*6\/7 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = -f - f + 15, -1699*t = -5*f - 1698*t + 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 316 - 756 = 490*b + 148 + 23912 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18 + -17. Let m be (-4)\/((-3)\/3) - h. What is the third derivative of 6*k**2 + 0*k**m + 8*k**6 + 0*k**3 + k**2 wrt k?\nAnswer: 960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 99934153 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, -452, 4, -3, 0.34, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13234.3 * -0.5.\nAnswer: -6617.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = -3*h + 6*h + 323 - 428, 0 = 5*h - 8*o - 175 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 PM and 6:43 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1939*k**2 + 5*k**3 + k**3 - 3*k**3 - 1939*k**2.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 + 2)*2416\/16. Let f = 150 - k. Which is the third smallest value?  (a) f  (b) -0.4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -41 or -368\/9?\nAnswer: -368\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1103193802 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -58.19 - 11.11. Let d = m + 60. Let f = -9 - d. Which is the closest to -1?  (a) 2  (b) -1\/2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -37ba4 (base 14) in base 11?\nAnswer: -93824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 5 - 1 = c, 3*c + 2*u = -2. Let y(m) = -m**2 - 4*m. Let l be y(-4). Sort l, -0.4, c in descending order.\nAnswer: l, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.9253 + -0.0747. What is the biggest value in 1, s, 11, -0.05?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of y**5\/60 + y**4\/4 + 5*y**3\/6 - 3*y**2. Let r be d(-5). Let t(q) = -2 + q + 2 + r*q. Let i(p) = -5*p. Calculate i(t(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -3*i - 24. Let c be d(-8). What is the second biggest value in 1, -0.2, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 67592 and 53278?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -324\/28495 or 1?\nAnswer: -324\/28495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23 - -25. Suppose -f*o + 30 = 4. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22255*q*s - 298744*q - 3*s wrt s.\nAnswer: -22255*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -14\/34476087 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36587, 73174, 109763, 146354, 182947?\nAnswer: 219542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.1 and 1888167736413.\nAnswer: 1888167736413.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*h = 5*u - 19*h + 33, u + 5*h = -21 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 279858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - -3.8. Let c = w + -8. Sort c, 0.06, -0.4 in descending order.\nAnswer: 0.06, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -4, -2, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 55 - 74. Is n greater than or equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-152743)\/458)\/((2\/(-4))\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**2 - 5*y - 7. Suppose 4*a - 33 = -3*g - 24, a = -2*g + 6. Let p be (-62)\/(-6) + (-2)\/6. Suppose -g*k = -k - p. What is t(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 327*g**4 - 3*g**3 - 56*g**2 - 7*g. Let a(z) = -109*z**4 + z**3 + 19*z**2 + 2*z. Let i(l) = 7*a(l) + 2*h(l). Find the third derivative of i(q) wrt q.\nAnswer: -2616*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 4*j = 9. Let o = 5 - j. Find the second derivative of o*l + 0*l - l - 4*l + l**4 wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 34 and 5472759?\nAnswer: 10945518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 22749428 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9338346.\nAnswer: 2, 3, 71, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 87 = i - 4*i, 3*v - 9 = 0. What is the hundreds digit of ((-516)\/(-20))\/(5\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/4 + 661*y**2\/4 - 53835*y\/2.\nAnswer: -y*(y - 370)*(y - 291)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*n**2 - 2*n**3 - 8276*n + 8282*n - 140 + 140 to s + w*n**2 + j*n + t*n**3 and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 1102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/21 + (5900\/(-177) - -41)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/2 - (-81)\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -6  (b) -0.04  (c) -1  (d) 6  (e) -1.134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(5*7\/(-14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 124*p - 99*p = 66375. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + c**3 - 1 + (-2*c + 3*c - 4*c)*(4*c - c**2 - 4*c) - 2 - 16*c + 3*c**3 + 14*c + 5*c.\nAnswer: 7*c**3 + 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 17*176\/816*-3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -719, -762, -805, -848, -891, -934?\n\"Answer: -43*r - 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 16*p. Let b(s) = -13519*s. Determine b(n(y)).\nAnswer: -216304*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3916, 3910, 3900, 3886, 3868?\n\"Answer: -2*j**2 + 3918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*t - 6*t + g - 38672, g - 19338 = -2*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5.8813 and -10.2?\nAnswer: -59.98926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.5 + 1. Which is the biggest value?  (a) h  (b) 0.2  (c) -2  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -7. Let l be (-3 - -3)\/y*1. Let f(c) = -9 + 4*c**2 - c + 3 + l*c. Let s(j) = -11*j**2 + 3*j + 17. What is -17*f(b) - 6*s(b)?\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -110 or -13488\/121?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**3 + 15915*w**2 + 1332550*w + 2601480.\nAnswer: 5*(w + 2)*(w + 84)*(w + 3097)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9624 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 122053649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z**(-3\/5))*z)\/z*z**(6\/5))\/(z**10\/z**(-1)) assuming z is positive.\nAnswer: z**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f + 5. Let o be m(0). Suppose 4*v - 2*w - 2 = 2, 0 = -o*v + 4*w + 8. Suppose v*c - 4*c + 31 = i, -104 = -5*i - 3*c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1022093 divided by -3?\nAnswer: 1022093\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 25*t. Let q(m) be the third derivative of -m**5\/20 - 8*m**2 + 2*m. Give q(n(b)).\nAnswer: -1875*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14082771?\nAnswer: 3, 541, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5 + (-2 - -2)\/(40 - 43). Solve 4 = 4*t, 2*a - 69 + 80 = i*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47\/4 of a decade in months?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 9:13 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -271, -2.36, -0.2 in descending order.\nAnswer: -0.2, -2.36, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2760608 and -0.3?\nAnswer: 2760608.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -4*x + s, 0 = -361*s + 359*s - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11150 - -11152. Let y(z) be the third derivative of z**3 - 1\/12*z**4 - 18*z**t + 0 + 0*z. Give y(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*(c**(-16)*c*c)\/c*(c*c**(-2\/17)*c)\/c*c**(-6\/23)\/(c**(4\/17)\/c) assuming c is positive.\nAnswer: c**(-4932\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14.91614 hours to microseconds.\nAnswer: 53698104000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -21*y**2 - 263*y - 130. Let t be b(-12). Solve -t*z = -4*o - 2, -3*z + 6 = -o + 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -104.6 and -97726915.\nAnswer: -97727019.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 6841 (base 16) to base 4\nAnswer: 12201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of q**4 + 62*q**3 - 3*q**2 - 68 wrt q.\nAnswer: 24*q + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 2*b = -30. Let v be (b - 9)*(0 - 1). Suppose v = -2*i + 6. Put -1, -2, i in descending order.\nAnswer: i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -39*j**3 + 8*j**2 - 4*j + 37. Let r(c) = 41*c**3 - 10*c**2 + 5*c - 36. Determine 5*m(a) + 4*r(a).\nAnswer: -31*a**3 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -46*c*u**2*w + 8*c*u**2 + 4*c*w + 31*c - 2*w wrt w?\nAnswer: -46*c*u**2 + 4*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -1\/3, -13, -0.12 in descending order.\nAnswer: 22, -0.12, -1\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 - -24. Let v = 4 - 6. Calculate the remainder when 0 - v\/(6\/39) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/(b\/(b*b**(-45)))*b)*b*b)\/(b\/(b*b\/(b\/(b\/(b\/(b*b\/(b*b**(12\/5)*b))))))) assuming b is positive.\nAnswer: b**(218\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, l: 1, i: 1, k: 3}. Give prob of picking 1 l, 1 k, and 1 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/((-4)\/(-2) + -4). Suppose -o + 6 = -v*o. Suppose 4*w + h + 2 = 0, w + o = h - 4*h. Solve -2*l + 5*l + 3*c - 18 = 0, -2*c + 2 = w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by 7929.\nAnswer: -8\/7929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from vvlv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 5*g - 5 = 1, 0 = -4*l - g - 14. Let q be 2 + -1 - (-12 - l). Let v = q + -7. Solve 0 = v*u + u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -11.11\nAnswer: -7.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*o**2 - 2 + 4 + 0 + 3*o**2 to the form g*o**2 + p*o + z and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/3, -4, -14, -3, -89, 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (2 + -5 + 6*(-2 + sqrt(475) + -1 + 2))**2.\nAnswer: -540*sqrt(19) + 17178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zjzzjjj. Give prob of sequence jj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26793 - 6.3.\nAnswer: -26799.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3953 + -3937. Solve 185 = -h*v - 21*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 103160995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c**2 + 0*c**2 - 4*c**2)*(2*c**2 + c**2 - 5*c**2)*(-c + c - 18*c).\nAnswer: -36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 10, r: 4}. Give prob of sequence rg.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 70*k**2 - 69*k + 344. Is 11 a factor of b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3898 - 3878.17. Let j = r + -1.73. Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 41*p**6 - 171*p**4 - 264*p**3 + p**2 - 75875461 wrt p?\nAnswer: 4920*p**3 - 4104*p - 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 47 = -2*k + 43, 0 = 2*v + 3*k + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 39 + -20. Differentiate -7*h**3 + 48 - o - 32*h**3 + 31 wrt h.\nAnswer: -117*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*-1 + (7 - 8). Put 0.1, j, -9 in descending order.\nAnswer: 0.1, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16121\/4 - -4043. Determine u, given that -27\/2*u**3 - 15\/4*u**4 + 3 + 0*u - b*u**2 = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 5481, 5451, 5401, 5331, 5241, 5131, 5001?\n\"Answer: -10*h**2 + 5491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**2 - 3*i + 2. Let g be r(-2). Let o be (-1)\/g + (-13)\/(-4). Suppose o*p + 92 = 4*k - 0*p, -4*p - 16 = 0. Solve -4*l = l + k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*j + 893 = -582. Suppose 166 = j*a - 70. Calculate the highest common divisor of a and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r + 27. Let u be l(-8). Suppose -3*i + u + 40 = 0. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-77)\/14 - -5) + (-3)\/(-4). Let t = -1379\/22 - -125\/2. Which is the third biggest value?  (a) t  (b) l  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of 7271*s**3\/6 - 7472*s. Let w(r) = -r**2. What is o(w(v))?\nAnswer: -7271*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -23*o + 163 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11206 and 3627?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-1\/2)*f**(-2\/13)*f)**(-50)*(f**(-3)*f**(-1\/9)\/f)**(-4\/33) assuming f is positive.\nAnswer: f**(-257951\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 times 29.4?\nAnswer: -529.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of -3*u**4\/4 - u**3 - u**2\/2 - 2*u + 6. Let f(g) = g**3 - g**2 - g - 1. Let i(p) = 3*f(p) - n(p). Determine i(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 = -2*u - 3*g + 9, 0 = -5*u - g - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/726594 and -58\/3597.\nAnswer: 726594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 691 = 7*l + 82. What are the prime factors of l?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 550640852 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-447)\/(-596))\/((-1)\/(-12))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 314, 3, 2, -2 in descending order.\nAnswer: 314, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and 0.059276.\nAnswer: -0.0177828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of -r**4\/12 - r**3\/2 - r**2 - 6*r + 1. Let d(q) be the first derivative of s(q). What is d(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) -8  (c) 1  (d) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -206 + 214. Suppose 10*d - z*d - 2018 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1150628, 1150590, 1150534, 1150460, 1150368?\n\"Answer: -9*l**2 - 11*l + 1150648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is c16 (base 15) in base 13?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.05 + -0.15. Let t(k) = k**3 + 3. Let j be t(0). Let w(s) = -s**3 + 4*s**2 - 4*s + 4. Let n be w(j). Which is the nearest to n?  (a) -2  (b) o  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 2*f**5\/11 - 122*f**4\/11 + 1332*f**3\/11 - 360*f**2 - 3888*f\/11 + 20736\/11 = 0.\nAnswer: -2, 3, 6, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kdkddkkk. Give prob of picking 3 k.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5.8 - -16. Let l = n + -9.2. What is the second smallest value in l, 3, 1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of (360\/(-28))\/(54\/(-16128))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2c10a7 (base 14) to base 3\nAnswer: 2220012211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**3 - 160*o**2 + 1140*o.\nAnswer: -5*o*(o - 6)*(o + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 3*w. Solve w = 3*b - 7*b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12789\/(-21)*(-2 + (-2)\/(-6)). Calculate the highest common divisor of g and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 579 + -575. Let i be (-1)\/2*(2 + -2). Let p = x + i. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 4:27 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*1*3*(-5 + (sqrt(288) - (sqrt(288) + 3 + sqrt(288))) - (-5 + sqrt(288)*-3))**2.\nAnswer: -1728*sqrt(2) + 13932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -8 - 0 - (93 + (21 - (-7 + 34)))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5900, 3, 1, -5, 4 in decreasing order.\nAnswer: 5900, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1853 and 9047?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 0)*(29 + 0*p**2 + 0*p**2 + p**2).\nAnswer: 2*p**2 + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14247008 a multiple of 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Is 1019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1403 - 998. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -94, 4, 0.1, -5, 0.2 in ascending order.\nAnswer: -94, -5, 0.1, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence unu when three letters picked without replacement from {v: 1, n: 1, u: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 108364548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 622*f**3 + 8127*f**2 + 6*f + 160672039?\nAnswer: 1866*f**2 + 16254*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-244)\/(-2989))\/(4\/(-14))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 207863 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 72\/15*2\/3. Factor 2\/5*g**2 - 7\/5*g**5 - 11\/5*g**3 + o*g**4 + 0 + 0*g.\nAnswer: -g**2*(g - 1)**2*(7*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 63410\/3 + -191722\/9. Let p = h + 166. Solve -2\/9*g**3 - 2\/9*g**2 + 2\/9*g**4 + 0 + p*g**5 + 0*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 10:30 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 159 * 0.3.\nAnswer: 47.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x**3 - 2*x**2 - 2*x. Let g be t(2). Suppose 13*y - g = 11*y. Find the third derivative of -11*d**y - 8*d**6 + 26 - 26 wrt d.\nAnswer: -960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**5\/2 - 10*m**4 + 30*m**3 + 155*m**2 + 355*m\/2 + 63.\nAnswer: (m - 14)*(m - 9)*(m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t + t**4 + 2*t + 1 + (-2*t - 4 + 4)*(0*t**2 + 0*t**2 - t**3) + (-2 + 2 - 3*t)*(-t**3 - t**3 + 0*t**3).\nAnswer: 9*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 53*r + 24*r + 5048 + 881 for r.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 412319544?\nAnswer: 2, 3, 7, 13, 188791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6.6 - 27.4. Let g = t + 33.7. Which is the biggest value?  (a) g  (b) 0  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2a69aa81 - 1?\nAnswer: -2a69aa82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 y when three letters picked without replacement from jjjjjyjjjyjjjjjjjjj?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence php when three letters picked without replacement from {p: 2, h: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 76631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.105545377461+0.3\nAnswer: 0.194454622539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a kilogram in grams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 0.25  (c) -0.4  (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 12*t**2 + 47*t - 52. Let v be h(5). Solve -3*c - 13*x + 12*x = 10, -3*c - v = -x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 divided by 773177?\nAnswer: -60\/773177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 66304 and 2726493.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6642472 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-1\/4)\/y)**13)**(2\/13)\/(y**(-1)*y**2)**(-8) assuming y is positive.\nAnswer: y**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -111.8 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of -17836793 and -9548.628.\nAnswer: -17846341.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**3 + o**3 - 3*o**3 + (4*o - 3*o + o)*(-3*o**2 + 2*o**2 + 3*o**2) + 3*o - 3*o + 2*o**3 + (3 - 6 + 4)*(o - o + o**3) + 2288*o**3 - 218*o**3 + 252*o**3.\nAnswer: 2328*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -12*o + 3484. Let u = -43 + o. What is the highest common factor of 90 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11481963 - 13937\nAnswer: -11495900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 7*m + 4. Let k(s) = -s + 1. Calculate 5*k(v) + r(v).\nAnswer: 2*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.16, 2, 1, 0.96.\nAnswer: -0.16, 0.96, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 8*n = -6*n - 2, 6 = 3*n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 200*a - 204*a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-20) - (-3 + 3). Are g and -2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.1249 rounded to 2 decimal places?\nAnswer: 3.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32 - 25. Let m be (21\/5)\/(z\/35). Suppose -3*f + 3 + m = 0. Calculate the greatest common factor of 24 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3*g + 4 = s, g + 3*s - 12 = 0. Suppose 5*k = -g*k. Let x(p) = p - 3*p + k*p. Let z(m) = -2*m**2. Give x(z(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(8)\/(sqrt(162) + -2*sqrt(162) + sqrt(162) + sqrt(162) + sqrt(2)))\/((sqrt(2) + -3*sqrt(200))*3)*-1)**2.\nAnswer: 1\/378450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2634*k + 1318*k - 320682 = -1335*k. Is k a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7479 - 29707\/4. Let i = w + -53. Let s be 15\/10*4\/(-3). Is s less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345\/(108675\/(-360)) - ((-202)\/(-7) + -1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**3 - 6*d**3 + 4*d**3)*(-3 - 2 + 7) + 3 - 3 - d**3 + (-d**2 + 2*d**2 - 3*d**2)*(44*d + 17*d + 10*d) + 0 + d**3 + 0.\nAnswer: -144*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 635354437?\nAnswer: 173, 367, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -4 - (-1 + 5 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 22 - 9*a**3 - 22 + (209 - 209 - 22*a**2)*(-2*a - a + a) + (-4 + 4 + 2*a)*(2*a**2 + 0*a + 0*a) - 3*a + 3*a - a**3.\nAnswer: 38*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 848641766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*s + 63*s + 5*j = 9, -4*s - 4*j + 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/64838209 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 PM and 2:50 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 79, 2\/11, 2\/625, -17\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -8*w + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/29?  (a) 68  (b) -3  (c) 5\/4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 194259, 776963, 1748135, 3107775, 4855883, 6992459, 9517503?\nAnswer: 12431015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1113866859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5082885072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-3*(-6)\/9). Let q be ((-2)\/(-4))\/(k\/(-4)). Solve 7 + q = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 332*r - 15802 = -19454 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -169, -156, 29, 404, 987, 1796, 2849, 4164?\nAnswer: 5759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 7, d: 7}. Give prob of picking 3 d.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, o: 3, v: 1, t: 6, h: 6, e: 1}. Give prob of sequence th.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000553 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from peffyfycqefp. Give prob of picking 2 p and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 18*z**4\/11 - 165090*z**3\/11 - 102083392*z**2\/11 + 273102688*z\/11 - 182264064\/11 = 0.\nAnswer: -584, 4\/3, 9753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 94.91151 millilitres?\nAnswer: 0.09491151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 2:48 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 57843 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 PM and 8:38 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 + 7604\/2)*1\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -2*l**3\/5 - 8*l**2\/5 + 56*l\/5 - 64\/5 = 0?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d. Let n(k) = 41*k**2 + 3 + 43*k**2 - 89*k**2. Let g(v) = 7*v**2 - 2. Let r(t) = 2*g(t) + 3*n(t). Determine c(r(q)).\nAnswer: 2*q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from {g: 2, i: 1, e: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -84, -156, -244, -354, -492, -664, -876?\n\"Answer: -h**3 - 2*h**2 - 59*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + k. Let i(t) = t**3 - 5*t**2 - 5*t. Let a be i(6). Suppose 3*x + 2*f + 4 = 0, 5*x = 3*f - 26 - a. List the prime factors of l(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 161568*u - 2 - 80790*u - 80777*u.\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 175801394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 557 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + a + 2 + 26 = 0, f = -3*a + 16. Suppose -7*k + 8*k = f. Calculate the smallest common multiple of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 - 4*v - 2. Let r be s(4). Let j be ((-1)\/(-3))\/(r\/(-18)). Let d be 36 + -4 + j + 0. Solve -4*f - 5*o = -9, -5*f + 2*o - d = -o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 10, -y = 5*q - 363 - 342. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:05 AM and 7:29 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - -9. Calculate the remainder when (-6)\/(-4) - (-14756)\/248 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5493 is divided by 343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = 302*p - 299*p + 130, 8*p - 16*p - 2*o = -98 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 2*f + 88, -78*f = -3*g - 85*f - 65. Let c = -9 + 25. What is the lowest common multiple of g and c?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -2.6. Let n = 30.9 + -31. Sort n, j, 1\/8.\nAnswer: n, 1\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 199*a + 5. Let u be c(3). Suppose 2*y - u = -0*y. Suppose q - 18 = z + 279, -y = -q + 2*z. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1 - 0.2. Let g = -18.1 - -18. What is the closest to x in g, -2\/3, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/4 and (-189)\/(-60) - -1 - -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 797664, 1596407, 2395150?\n\"Answer: 798743*n - 1079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 + 184*t - 1 + 0 + 179*t - 360*t. Let h(j) be the second derivative of -j**4\/3 - 13*j**3\/6 + 5*j**2\/2 - j. Calculate 2*h(s) + 9*r(s).\nAnswer: s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/((((o**(-14)*o)\/o)\/o*o)\/o)*o*o*o**0 assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -213*d**2 + 7*d**2 + 6006*d**3 + 35194*d**3.\nAnswer: 41200*d**3 - 206*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - 23660489\/5) + (-8)\/(-10). Round g to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 77721 + -77728. Let y = 6 - 4. Sort z, 4, y in ascending order.\nAnswer: z, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 + 13*w + 174. Suppose 2436 = 16*v + 2564. Calculate h(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a**4 - 250*a**3 - 865*a**2 + 2500*a - 1380 = 0 for a.\nAnswer: -46, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of 1573*w**4\/4 + 988*w**2 + 912*w - 1. What is the derivative of q(y) wrt y?\nAnswer: 9438*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7866.658 days to hours.\nAnswer: 188799.792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -43441673812 + 0.5.\nAnswer: -43441673811.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1836)\/714)\/((8\/(-14))\/2). Solve d = 3*v + 3*k, -2*k + 9 = 2*v + k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8745 - -9702. Which is bigger: 956 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1194 is divided by 398.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7321223 (base 8) to base 16.\nAnswer: 1da293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2272 + -2268. Let j = -4 - -6. Which is the closest to j?  (a) n  (b) -0.4  (c) -0.1  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 = -2*v - 18 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -3*l**5 + 9300*l**4\/7 - 863886*l**3\/7 + 845328*l**2\/7 + 863907*l\/7 - 854628\/7 = 0.\nAnswer: -1, 1, 916\/7, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 + 3*x + 5. Let t(n) = -6*n**2 + 16*n + 26. Suppose 0 = -3*d - 3*q - 9, 5*q = -4*d - 6 - 6. Determine d*t(j) + 16*m(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 68 + -49. Suppose -5*d - 27 = -3*a - 2*d, a - 3*d = h. Solve 2*v + 7 = a*g + 17, -v = 4*g + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2))**(23\/2)\/((c\/c**(-6))\/(c\/(c\/(c\/((((c\/(c**(-2)\/c)*c)\/c)\/c*c)\/c))*c)*c)) assuming c is positive.\nAnswer: c**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*g**4 + 10*g**4 - 7*g**5 + (-450*g**3 - 69*g**5 + 450*g**3)*(-3 + 1 - 2).\nAnswer: 269*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (29\/(-1276)*6)\/((-3)\/(((-88)\/4)\/(-2)))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 130, 258, 390, 526, 666, 810, 958?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the third derivative of -1\/6*w**4 + 0 + 0*w + 0*w**3 + 2*w**2 - 1\/3*w**5 - 5\/24*w**6. Determine f so that y(f) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes after 5:36 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 705521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1099.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -258.2221?\nAnswer: -258.2221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23446*t + 23560*t = -6074 + 5554 - 8258 for t.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.5, -0.4, -0.01, -0.619, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -6*g - 3. Suppose -5*v = -2*w + 7*w - 40, -35 = -4*v - 3*w. Let q(f) = -16*f - 9. Let x(c) = v*b(c) - 4*q(c). What is x(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-94)\/(-18) - 26\/117. Suppose t - 18 = -3*t - 2*v, -5*t + y*v = -15. Suppose t*w - 3*w = 6. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -4*x**2\/3 - 92924*x\/3 - 928840\/3 = 0.\nAnswer: -23221, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 5*g**3 + 4*g**2 + g. Let i(a) = -2*a**3 - 2*a**2 - a. Give -5*i(q) - 3*y(q).\nAnswer: -5*q**3 - 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 20 = n - 30, 4*n = -3*g - 25. Let f be ((-18)\/g)\/(2\/5). Which is the third biggest value?  (a) -0.4  (b) -0.2  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*m**2 + 6 + 2*m**3 - 3 - 3 to the form f + t*m + j*m**2 + c*m**3 and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 4*v. Let q(l) = 9*l + 1. Determine 5*p(r) - 2*q(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.7  (b) -6  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1*511*(-420)\/(-147)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 4*c = 0, -5*a + 20*c = 15*c - 40 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66716 = -31*z + 27191. Sort 4, -2, z in ascending order.\nAnswer: z, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -13 or -7368\/565?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-2)*134\/(-335)*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/15 + 6*r**2 + 96*r\/5.\nAnswer: -2*r*(r - 48)*(r + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 374548 and 64?\nAnswer: 5992768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 - -12. Let s(t) = 6*t**3 - 2*t**2 - t - 1. Is s(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.5 - 0. Let m = 22 + -18. Which is the biggest value?  (a) m  (b) s  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6369*r**3 - 29*r**2 - r**5 - 6369*r**3 wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 13*h + 322. Determine c(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -691.683 - -692. Let m = 0.154 - 0.014. Let d = m - n. Round d to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/7 and -0.112881 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(2160) + sqrt(2160))\/(sqrt(12) - (sqrt(972) + sqrt(972) + sqrt(972)*-2)))**2 + -2 + sqrt(15)\/sqrt(3) + 3 + -3.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 16830120?\nAnswer: -16830120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10.3 - 7. Let k = 3 - f. Put -5, k, 3\/8 in descending order.\nAnswer: 3\/8, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -1.7. Sort 1, h, 0.2, 0.4 in descending order.\nAnswer: 1, 0.4, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + 45\/(-6)*124\/527. Determine r, given that -6\/17*r**3 - 2\/17*r**4 - u*r + 10\/17*r**2 + 0 + 2\/17*r**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5489475?\nAnswer: 3, 5, 53, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 450\/(-36)*(-37484)\/5. Is 3*(14\/(-35))\/((-12)\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d - 22. Let o be ((-13)\/(-2) + 2)*-2. Let p be x(o). Let i = 48 + p. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -2\/149, 2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (1590\/(-3180))\/(-3*(-2)\/20)*4788\/190?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 10:35 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17002c (base 14) to base 15.\nAnswer: -10e0a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 766 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 prob of sequence eb when two letters picked without replacement from {b: 1, f: 1, m: 3, w: 1, e: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65538.01 days to microseconds.\nAnswer: 5662484064000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 11222032213 (base 4) to base 6\nAnswer: 51444531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 5:32 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4145461.\nAnswer: 179, 23159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 + 3*s - 6. Give w(-10).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (10 - 22 + 14 - 110*a)*(-4*a + a + 2*a) as c*a**2 + m + f*a and give c.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 750 + 1490. Find the common denominator of 73\/38 and 2328\/p - 9\/(-21).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and -17372.\nAnswer: -17367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 4 - 1)*(-79 + 234 - 69)*(2*s + 0*s + 0*s) to i*s + v and give i.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + 0)*(-5)\/(-35). Solve h = 4*b - 3*f + 11, -2*b - b - 2*f = 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -20116 and -261522\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -78\nAnswer: -5\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 230\/(-195) + 12\/9.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1*6\/(36\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27 - 21. Suppose 6 = -p + 4*a, -5*p - 3*a + 20 = 2*a. Solve l = p*b - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 373049828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14051 (base 14) to base 11.\nAnswer: 34187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 - l**2 - 3*l - 1. What is n(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-3)\/(-3))\/((-3)\/(-9)). Suppose -q - b*q = -3*q. Solve 2*w = -2*w - 2*d, q = -4*w + d + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3857039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 33342635327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2868 divided by 1434.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24049 - -32852. Sort -1, h, 4 in ascending order.\nAnswer: -1, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**2\/7 - 904*u\/7.\nAnswer: 4*u*(u - 226)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 8, -7 in ascending order.\nAnswer: -7, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -4. Let g = l + 2.5. Let a be ((-9)\/6)\/(4\/(-8)). Sort -1, g, a.\nAnswer: -1, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(6)\/sqrt(2) - sqrt(3) - (sqrt(3) + (-4*(sqrt(3) + sqrt(3) + -1))**2).\nAnswer: -208 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 385\/16401*-2214 + 2\/(-71)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llxjiql. Give prob of sequence qllx.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21585 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 735574*i - 735614*i + 1720 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = 2*m - 4, -l = -0*l - 2*m - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12238 and 8405650?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2446837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*u + 2*u - 5*u)*(-2*u**3 - 4*u**3 + u**3)*(-19 - 19 - 34) to q*u**2 + y*u**3 + x*u + g*u**4 + p and give g.\nAnswer: -1800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*531*(66\/(-11) - -7). What is the highest common divisor of n and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -12*c**2. Let q(f) = 329*f - 1092. Let g(b) = 11*b - 36. Let n(s) = 182*g(s) - 6*q(s). Calculate z(n(d)).\nAnswer: -9408*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 991 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -871446666 divided by -145241111.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + u + 0*u = 0, -5*n = -2*u. Suppose n = 7*r + 7 + 14. What is the remainder when (r - (-2)\/1)\/(-1) - -83 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 624409069?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -47 - -59.5. Round t to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9686489.\nAnswer: 37, 389, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/((-15)\/(-558))*(7 + -6). Let j = m - -191. Calculate the remainder when j is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5673669 is divided by 166864.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -173692, -173693, -173694, -173695?\nAnswer: -173696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 75748441081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**2 - 3*h**2 + 7*h**2)*(h - 3*h + 3*h) + h**3 + 0*h**3 + h**3 - 2*h**3 - h**3 - 3*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (-13 - (4 + -22))) + (2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1553855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1104 + -4?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 670175567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 + 10*r + 10. Let f be q(-10). Solve -k + 3*k + f = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000689769 to 5 decimal places.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 64623 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 155171237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 15, 3*y + 9 = 5*h - 9*h. Let v be (7 - 6)*(y - -190). Suppose -193*o + v*o = -14854. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -35?  (a) 0.3  (b) -30  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3822, 0, -26, 8, -4, 3 in increasing order.\nAnswer: -26, -4, 0, 3, 8, 3822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 114 and 270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -69 + -15310?\nAnswer: -15379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1318 + 926 = 12*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**4 - 50050*c**3 + 1203120*c**2 - 9630080*c + 25687040.\nAnswer: -5*(c - 8)**3*(c + 10034)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/10 of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 202, 426, 696, 1036, 1470, 2022?\n\"Answer: 4*d**3 - d**2 + 199*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 3 = 1. Let l = 36 - f. Suppose -5*m + l + 87 = 0. Calculate the remainder when 48 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h. Let n(i) = -2138*i. Give d(n(z)).\nAnswer: 2138*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -93291 and 1049981?\nAnswer: 1143272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4405\/1762 - 1\/(-1 - -4).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2814*u + 2823*u - 9 = 0. Let h(a) = 57*a + 6. Let j(r) = 29*r + 3. Let z(o) = -4*h(o) + 9*j(o). Is 36 a factor of z(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1684*p + 1094384 - 1262784 = 0 for p.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 + 7*n**2 - 9953*n - 39925. Determine r(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4477467 to the power of 1\/2, to the nearest integer?\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -3*i**3 - 9*i**2 - 8*i. Let h be l(-1). Solve -3*c - 5 = -5*v, -h*v + 15 = -c + 3*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dzd. What is prob of sequence dzd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*v - 30*v - 12 = c + 34*v, -3*v = -7*v + 24 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -25*f - 348. What is r(-17)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 + -15.977. Let j = 0.0230002 - b. What is j rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(243) + -3).\nAnswer: -54*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -421*q + 783*q**2 + 421*q - 761*q**2.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1.4, -1, -6 in descending order.\nAnswer: 0, -1, -1.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -71 and -34.808.\nAnswer: 2471.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from vvvmvmvm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1257561 and 639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -168, -558, -1164, -1980, -3000, -4218, -5628, -7224?\nAnswer: -9000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 0*h + 10*h + 14 - 6.\nAnswer: 10*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1001001000011111001100 (base 2) to base 11\nAnswer: -1395769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1891086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -710, -712, -716, -722, -730, -740, -752?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*w - 37 + 133. What is the highest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/10)\/((-108*190\/5985)\/(5\/(-7))).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 0.04  (c) -2  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 70 = -6. What is the highest common divisor of 988 and q?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1621, -4, -113, 21, -1 in ascending order.\nAnswer: -1621, -113, -4, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/((-36)\/2092)*3*-5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 81856282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*u - 2*u + u)*(-12 + 8*u + 12) in the form a + s*u**2 + p*u and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-42))\/(-1)*(80\/4)\/((-97760)\/(-1222)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 67586257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4608 - 4615. Which is the nearest to -1\/3?  (a) -0.09  (b) -5\/4  (c) -2  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -379 - -1146. What is the tens digit of c*8\/(15 - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -5*t. Let z(j) = -82*j**2. Calculate z(f(l)).\nAnswer: -2050*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 126 + -125.9. Which is the nearest to -0.1?  (a) -0.4  (b) -3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9018 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rmmmrmmmrrrmmm. What is prob of picking 1 m and 2 r?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o**2 + 0*o**2 - 68695205171 + 68695205163.\nAnswer: -2*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 3*z**2. Let a be x(-1). Let l(j) = 2*j**2 - j + 4. Let p(q) = q**3 + 9*q**2 - q + 1. What is the remainder when l(a) is divided by p(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 6*u = -3*u - 14359, 0 = -5*y + u + 17944. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 56140 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**2 + 3*d**2 - 3*d**2)*(-d + 0 + 0)*(3 - 4 - 5).\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 AM and 10:12 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2465805678?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 PM and 6:31 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*b**2 + 5*b**2 + 3*b**2)*(-5*b**3 + 2*b**3 + b**3 - 2*b**3 + 0*b**3 + 3*b**3 + (0 + 1 - 2)*(-b**3 + 0*b**3 - b**3) + 2*b - 2*b**3 + b + 0*b**3).\nAnswer: 8*b**5 - 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139 - 70 = -41*g - 78*g - 645 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 34 + 16*h + 9*h - 11*h. Let r(n) = n**2 - 13*n - 35. Let a(c) = 6*f(c) + 4*r(c). Factor a(s).\nAnswer: 4*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55.332573 * 5\nAnswer: 276.662865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1703 and 4716?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {o: 5, x: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**2 + 1. Let o(t) = -t**2 - t - 1. Suppose -3*p + 2*m = -85, -p - 2*p - 4*m + 55 = 0. Let a = -24 + p. Let x(s) = a*o(s) - q(s). Factor x(b).\nAnswer: (b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -114 + 96 + p + 175 - 2*p + 269 + p**2 as d + a*p + n*p**2 and give d.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 4*h. Let o(g) = 933045*g. Calculate r(o(q)).\nAnswer: 3732180*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 222 by -423.\nAnswer: -74\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 92450725, 184901431, 277352137, 369802843, 462253549, 554704255?\nAnswer: 647154961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.1*1.328905.\nAnswer: 1.4617955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-294 - -2)\/((-4)\/(-6)) - 3. Let a be (1 + t\/(-12))*4. Suppose 20 + a = 3*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 5:37 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 30763580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/v**(1\/8))\/v)\/v*v*v)**(2\/5) assuming v is positive.\nAnswer: v**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1338708 divided by 2.\nAnswer: 669354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 136035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 + 3*d**2 - 14*d - 2. Determine k(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 + 7*c + 51. Let y be g(11). Suppose -y*f + 880 = -3124. Is 26 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**4 + 16*t**4 - 6*t**4 + (4*t**2 + 3 - 3)*(-2*t - 3*t**2 + 2*t))*(-4 + 2 + 6*t + 10*t + 5*t).\nAnswer: -42*t**5 + 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 5*b**2 + 191095*b - 191100 = 0?\nAnswer: -38220, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v**2 + 0*v**2 - 5*v**2 - 2*v + v**2 - 4 - v**4 to x + i*v**2 + a*v**4 + h*v + w*v**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 + 2*a**2. Let o(y) = 10*y**3 + 4*y**2 + 5. What is o(m) - 2*q(m)?\nAnswer: 8*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1638085.685 plus -7?\nAnswer: -1638092.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6300 by -262.\nAnswer: -3150\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q + 4*q + 2*q)*(q + 0*q + 0*q)*(-5 + 1 + 1).\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that x**2\/4 - 6441*x\/2 + 41486481\/4 = 0.\nAnswer: 6441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u*((u\/(u\/(u\/(u*u**(-4\/19)))))\/u)\/u*u*u*u)\/u)\/u**27)\/((u**(-16)*u)\/u**(3\/2)))**(-8) assuming u is positive.\nAnswer: u**(1412\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 + r. Suppose -4*v + 10 = -4*h - 2, 3*v - 3 = h. Let o be t(v). Suppose o = -0*c + 5*c - 150. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28.7595 rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 576*b - 1050*b + 571*b - b**3 + (1 - 1 + b)*(-4*b + 5*b - 2*b)*(-b + 0*b - b).\nAnswer: b**3 + 97*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1798675544 to the nearest integer?\nAnswer: 42411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (324\/972)\/(2\/6 - 0). Put -0.03, 25, y, -1\/4, 4 in descending order.\nAnswer: 25, 4, y, -0.03, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -464 + 4178\/9. Let r = -7 + 53\/8. What is the nearest to -1 in x, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6249 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -13011683, -5 in descending order.\nAnswer: 3, -5, -13011683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -15, -8, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*f**4 - 8*f**3 + 567*f**2 + 3*f + 239480?\nAnswer: -8*f**3 - 24*f**2 + 1134*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**2 - 2916*g - 1322951. What is r(-562)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/4*(-505 + 511)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 23 = -2*o. Let i = 6 + o. Let n = i - -25. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 6) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d - 3. Let q be 273\/78*18\/7. Let s(z) = -5*z + 7. Give q*a(r) + 4*s(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1339 = -4*a - 4*t - t, -671 = -2*a - t. Suppose 0 = 5*d - 259 - a. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*n + 4*n + 66*n - 101*n + 22 - 262*n.\nAnswer: -338*n + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1214 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -88673, -177235, -265793, -354347?\nAnswer: -442897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 less than -109635295944500?\nAnswer: -109635295944505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 2*k + 30. Suppose 263*r - 1071 = 899 - 129. What is l(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 91431 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h + 22704 = 5*h. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -5*t**3 - 710*t**2 - 24785*t + 25500 = 0.\nAnswer: -75, -68, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 22356191761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xymuyurr. Give prob of picking 1 x, 1 r, 1 u, and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 204 = 3*r + r, h = -5*r + 117. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 3665*l**2 - 50*l + 188. Is k(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/(-10))\/((-4)\/80). Let w = 10 + l. Suppose -s - w + 4 = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42011189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 245, 355, 463, 569, 673, 775?\n\"Answer: -w**2 + 113*w + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 706779 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 15) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1443 - -2487. Suppose 7*c = -2*c + q. Suppose 2*f + 0*a = a + c, a + 287 = 5*f. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**4 - 1094*m**3 - 52362*m**2 + 1094*m + 52364 = 0. What is m?\nAnswer: -494, -53, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -389.35562 rounded to the nearest integer?\nAnswer: -389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1680\/300)\/(7\/20). Solve -h - 8 = 2*p, 5*h = -7*p + 11*p + l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 7*u - 21. Suppose 4*c = -z + 11, -8*z = -7*z - 2*c - 11. Let t(l) = -4*l + 11. Give z*t(g) + 6*d(g).\nAnswer: -2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*x = z - 153 - 20, 3*x - 4*z - 64 = 0. Let c be 2\/(-5) + (-126)\/(-15). Suppose -c = -2*p + 4. Calculate the least common multiple of p and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.0189 and 320.2.\nAnswer: 326.25178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -176138595 divided by -37215.\nAnswer: 4733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -84 - -91 - (28 + (2 - -1 - 0))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-61116)\/12216 + (-2 - -7). Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 114 and 57?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.2 and -3410600.129305.\nAnswer: -3410600.329305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + 49 + 7. Let x = 71 + z. Does 57 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -18. Let x = -10 + c. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 366702027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 28, -5, -134 in decreasing order.\nAnswer: 28, -3, -5, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 90 + -90.3. Which is the nearest to 1?  (a) 7\/3  (b) z  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -359 = -8*h + 17. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/2 - (-4 + 2). Suppose -3*u + 22 = f - 6*f, -f - 5 = p. Which is smaller: u or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5943175?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1247, 2491, 3735?\nAnswer: 4979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4165?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - -16. Suppose -4*n = -m + n + l, -m + n = -8. Suppose v = -3*w + 3, -m*w = -4*v - 0*w + 60. What is the smallest common multiple of v and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/(315\/10))\/((-2)\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 59*s**2 + 45*s - 2616. Is i(59) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1404283.23ns to weeks.\nAnswer: 0.000000002321896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -412.604 rounded to the nearest integer?\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 11:06 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5\/2  (b) -3  (c) 28  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 + 6*t + 6. Let z be i(-6). Suppose -917 = -20*y + 578 - 115. Let f(o) = -y - o + 68 + z*o - o. Give f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 269, 547, 813, 1067, 1309?\n\"Answer: -6*g**2 + 296*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/7 + 8 + 1881\/(-63). What are the prime factors of 791 + b\/(-4) + 3\/(-6)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -78118068 divided by -21?\nAnswer: 3719908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8354 + 59061. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b - 1. Let f be t(4). Suppose 0 = f*i - 2*i - 10. Let o(c) = 2 + c**i + 0 - 9*c + 3*c. Calculate o(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6f9 - -2?\nAnswer: -6f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -5. Suppose -3*p = c*s - 19 - 9, s - 9 = p. Let i = -10 + s. Is i at most -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b**3 + 11*b**2 - 4*b - 2. What is j(7)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2441, 4855, 7259, 9647, 12013, 14351, 16655?\n\"Answer: -a**3 + a**2 + 2418*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*p - 211*p**4 + p**2 + p**2 + 213*p**4 in the form s*p**4 + u*p**3 + o*p**2 + t + l*p and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*2 - 9\/(18\/32). Let c = t - -11. Let x = 2 - 3. What is the closest to x in c, 0.5, 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 3) + 2 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93, -49, 231, 867, 1979, 3687, 6111?\nAnswer: 9371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 160 is divided by 38.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12, 3, -10, -27, -48, -73, -102?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 78489571, 78489572, 78489573, 78489574?\nAnswer: 78489575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**3\/5 + 414*t**2\/5 + 22422*t\/5 + 20402 = 0.\nAnswer: -101, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2865119.\nAnswer: 269, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1087.6 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1965428\/11 smaller than 178676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 498 + -494. Sort 2\/15, z, -1\/5, 2.\nAnswer: -1\/5, 2\/15, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m**2\/5 + 116633*m\/5 - 2798616\/5 = 0. Calculate m.\nAnswer: 24, 116609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17505, 35036, 52591, 70170, 87773?\nAnswer: 105400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/410071 and 97\/6.\nAnswer: 2460426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - (6\/(-37))\/((-2)\/12). Suppose 2*j = -4*v - 8, -j = 4*v + 4*j + 20. Which is smaller: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide (((-12564)\/8)\/9)\/1*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*b + 8 = -37*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2100\/(-315) - 19\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143*t - 2208 = -327*t. Let p(s) = -s**2 + 11*s + 19. Determine p(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 2*j + 11, 6 = -2*j - 3*c - 25. Let k(v) = -6*v**2 - 8*v + 8. Let u(i) = 4*i**2 + 5*i - 5. Determine j*u(z) - 5*k(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 - 7*v - 6. Let o be r(-4). Let l be ((-42)\/(-9) + -2)*o. Calculate the highest common divisor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 + 16*k**2 - 16*k + 17. Let m be v(15). Let r(t) = -2*t**2 - t + 4. Let h be r(m). Let p = -7 - h. What is the closest to p in -0.1, 5\/4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 48 = -2*l. Let r = -1 - l. Suppose 2*o = -3*q + 6, 3*o = -4*q - 0*o + r. Solve -q*s = -2*s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10568?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(3*sqrt(156)*-2 - sqrt(156))\/sqrt(12).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -203042 - 444101?\nAnswer: -1202143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**3 + b**2 - 3 - 3*b + 3*b. Suppose 0 = -v + 5*v. Let q be j(v). What is the third smallest value in 0, q, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3334*w = -2761*w - 505885 for w.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 55, 2.2, 7, 0.4, -1\/5, 0.5 in ascending order.\nAnswer: -1\/5, 0.4, 0.5, 2.2, 7, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -66706119*f - 514382950 wrt f.\nAnswer: -66706119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -212787, -426300, -639813?\n\"Answer: -213513*t + 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-105)\/28 + 3*1. Is a < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 12*a**2 - 6*a - 6. Let g be s(6). Suppose -5*d + g = -0*d. What are the prime factors of d?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vfdvncfc. Give prob of sequence dvv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - 0. Suppose 0 = -4*l + 33 + 3. Suppose -5*f + 0*f = -r*y - l, -4*f + 14 = y. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 710870, 710865, 710860, 710855, 710850?\n\"Answer: -5*j + 710875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35\/(95\/19))\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -10*q**2 + 3*q. Let f(c) = 7692*c. What is g(f(i))?\nAnswer: -591668640*i**2 + 23076*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d - 9 - 6 + 19 - 3*d. Let n(k) = -14*k + 11. Let o(h) = 2*h + 1. Let j be o(-2). What is j*n(f) + 8*u(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -76*101\nAnswer: -7676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 3*t**3 - 4*t**2 - 2*t. Let d be (-6)\/4*10\/(-5)*-1. Let u(f) = f**3 - f**2 - f. Let g(k) = d*x(k) + 6*u(k). Factor g(b).\nAnswer: -3*b**2*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -96?  (a) 2  (b) -5  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 70\/15 + (-90)\/54?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmuqqiqqmhiuhihqq. What is prob of picking 3 q and 1 h?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, q: 3}. What is prob of picking 2 q and 2 y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 2 - (-2 - -8)) + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -12*p + 0*p + 4 - 2*p**2 + 27*p. Let w(m) = -2*m**2 + 16*m + 5. What is -4*w(o) + 5*z(o)?\nAnswer: -2*o**2 + 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -2 - p**3 + p - 2*p**3 + 3. List the prime factors of l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -54135 + 54135. Let b = -2.4 - 0.6. Let q = -11 - b. Sort q, -0.5, m in descending order.\nAnswer: m, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.019 - 0.619. Let o = -0.055 - -0.055. Sort -0.5, o, w in ascending order.\nAnswer: w, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from ocbc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from asssszsfs. Give prob of sequence sza.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 14, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1919 - 1910 = o + 3*o - z - 0*z, -22 = -12*o - 2*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + 13*c**2 + 11*c + 4. Is h(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9369491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, u: 2, o: 11, v: 1, a: 3}. Give prob of picking 1 v, 1 u, and 1 a.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 10:57 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9411123 litres in millilitres?\nAnswer: 941.1123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3987263381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -56\/155 + 371\/186. Calculate the common denominator of -103\/670 and j.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3397 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -340407.\nAnswer: 4\/340407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g and 1 j when four letters picked without replacement from jgjjgjggggg?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -60 - -62. Let z(k) = -8*k + 4. Let p be z(c). Let o(y) = -y**2 - 15*y + 7. What is the tens digit of o(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 + 6*x + 6. Let a be g(6). Let r = a + 16. Suppose 5*n + r = t + 2, n + 4 = 0. Solve t = -4*u - 25 + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of 27*p**2\/2 - 9*p - 1. Let x(d) = 4*d + 13. Let g be x(-3). Is t(g) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2821 and 20293?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11827574 and 231.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = -2*n + n - 2*q, 2*q + 8 = 0. Let h be (12\/(-10))\/(27\/n). Solve -h*l = -2*b - 6, 0 = -5*l + 4*b - 2*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + 17*x**2 + 14*x + 75. Give f(-16).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of -p**4\/72 + p**2\/12 + 24*p + 1. Solve w(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3350399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 181 - 272. Suppose 0 = 1764*g + 87*g + 168441. Is q at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9807 bigger than -2263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 105 and 23936045.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 - 5\/((-10)\/82). Let b = j - 41. Let g(k) = -10*k - 146. Let i be g(-15). Solve f - i = b*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -390, -773, -1146, -1509, -1862, -2205?\nAnswer: -2538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**1)**(-2\/9)*(t**1\/t)**35)**(-5))**(-1\/77) assuming t is positive.\nAnswer: t**(-10\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that p**3\/4 - 87*p**2\/4 - 666*p = 0.\nAnswer: -24, 0, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 61355*x - 61770*x + 23655 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**4 - 8271*h**3 - 15881344*h**2 + 5135458896*h - 5119569280 = 0.\nAnswer: -4276, 1, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 78 - (28 + (-6 + -15 - -18)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32 + 24. Let x(g) = g**2 + 6*g - 2. List the prime factors of x(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h + 287 = 12*h + f, -4*h - 3*f = -1153. What is the remainder when h is divided by 100?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 12 = -0*g. Let j(w) = 2*w**3 - 10*w**2 - 52*w + 7 + 59*w - w**g + 11. Let z be j(9). Solve 5*v - 10 + 0 = z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -661*k = -673*k - 72 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -434.6 + 434.19. Which is smaller: b or -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - 357 - 39. Let o be -9*(t\/(-45) + -3). Factor 0 + 3\/5*c - o*c**4 - 9\/5*c**2 + 9\/5*c**3.\nAnswer: -3*c*(c - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, -4, 318, -21 in decreasing order.\nAnswer: 318, 5, -3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rleerxxrlrxrllr. Give prob of sequence rr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -960 - -962. What is the nearest to -5 in 22, -3\/2, l, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 5)*(-1 + 24 + 15)*(4 - 4 - 2*v**2).\nAnswer: -152*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*m = -95 - 169 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 8 = n + 5*y, 0 = 4*n + 5*y - 43. Suppose 39 = -6*u + 3*u + 3*o, -5*o - 5 = 2*u. Let b = n + u. Solve 1 = -a - 2*m - b, 5*a = 4*m + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -170*b - 50*b - 17280 = 125*b + 15*b for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 656490?\nAnswer: 2, 3, 5, 79, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -442 + 470. Let h be (-55)\/(-2) - 2\/(-4). Is g >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 0 + 41 + (-36)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/28)\/(6\/(-21)*1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3750392 to the power of 1\/2, to the nearest integer?\nAnswer: 1937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59222092.\nAnswer: 2, 14805523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of 9*u**4\/4 + 17*u**3\/3 + 7. What is the third derivative of k(g) wrt g?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 54621 and 237531?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 678932821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -540 - m + 6*m + 9*m.\nAnswer: 14*m - 540","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 2:13 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -88*u**4 + 2*u**3 + 165.\nAnswer: -352*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/4 and -1666676 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 1 + 6)*(-2*c + 9*c + 0*c) + (-4*c + 2*c - 4*c)*(6 + 3 - 1) as b + d*c and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llllllllpllll. What is prob of sequence lllp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + 0*u + 3*u + (24 - 109 - 125)*(2*u + 3*u - 3*u) + 3*u - u - 3*u)*(0*u + 2*u - u).\nAnswer: -419*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 - -2*15\/6. Let p be 3\/2 - (-14)\/u. Suppose p*d - 68 = -4*j, -2*j = -4*d + d - 34. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -4*z - 1 + 6 + 3 + 7*z**2 + z**3 - 3*z. Let x be v(-8). Solve x = 3*y - 4*y, 4*y = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3376 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76.52039l to millilitres.\nAnswer: 76520.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**2 - 14*z - 28. Let y be n(14). Let m = 45 + y. Let u = -12 + 22. Calculate the remainder when m is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 8*n = 7*n. Suppose 0 = -2*s + 2*h + 56, n = -0*s + s - 4*h - 37. Solve f + 4*g + s = 0, f + 2*f + 30 = -3*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -131223 + 131224. Let n be 3*(-2)\/8*16. Let d be (-4)\/3*3\/(-2). Sort n, 5, f, d in descending order.\nAnswer: 5, d, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w - 3*w + 6. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 - 3489?\nAnswer: -3487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 10:54 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {o: 4, f: 4, k: 1, t: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d*d*d**(-15)*d*d*d*d)\/d)\/(d**(-15\/7)*d) assuming d is positive.\nAnswer: d**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 68275.82 kilograms in micrograms?\nAnswer: 68275820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1854\/63 + -14)\/(12\/(-420)*10)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -3*y + 5*t + 51, 4*t - 75 = -3*y. Suppose 23*p = y*p + 18. Solve 3*w - 9 = 4*l, 3*l + 23 = -5*w + p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 - 6*z**2 + 4. Let w be x(-6). Let y be -2 + w\/(4\/67). Let b = -14 + y. What is the remainder when 97 is divided by b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3611.0445 hours in weeks?\nAnswer: 21.4943125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 42 + 1 + 1 + -263 + 263.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3)\/(-6))\/(1\/2). Let v = 843 + -834. Suppose -7*b - v = -37. Which is smaller: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1569745, -1569744, -1569733, -1569706, -1569657?\n\"Answer: x**3 - x**2 - 3*x - 1569742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-18))\/(4 - 1749\/396)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = 5*p + h, 3*p - 18*h + 140 = -p - 162 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 431669.9 decades in years?\nAnswer: 4316699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -25642 divided by -5\nAnswer: 25642\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1012)\/3)\/(-11))\/(344\/(-258))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 4*x - 2. Let t = 28\/5 + -262\/45. Which is the nearest to x?  (a) t  (b) -0.2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*c - 0. Let r(y) = 2*y + 1. Let o be r(c). Suppose 4*m = o*m. Sort 2, 2\/3, m.\nAnswer: m, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u**2. Let w(v) = -115*v**2 - 4*v + 4. Let n(q) = -23919*q**2 - 833*q + 833. Let c(b) = -4*n(b) + 833*w(b). Determine s(c(y)).\nAnswer: 28322*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 245 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 40\/191 and 37\/3563678.\nAnswer: 3563678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 100*p*q**4 - p*q**2 + 11*p + 2*q**4 - 9*q**2 wrt q.\nAnswer: 2400*p*q + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*d**3 + 9997*d**2 - 9997*d**2.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4430 - 2439. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 - 2*d**2 - d. Suppose -4*c - 101 - 71 = 0. Let q = c - -36. Let r be (-9)\/(-4) - (49\/q)\/(-28). What is s(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2673198.499804 + 2673192. Let u = -6.5 - i. Round u to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*g**5\/5 - 6858*g**4\/5 + 13342*g**3\/5 + 8066*g**2\/5 - 13296*g\/5 - 1208\/5 = 0.\nAnswer: -151, -1, -2\/23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/(-3))\/(46\/276).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of -u**8\/70560 + u**7\/2205 - 2*u**6\/315 - u**5\/15 - 19*u**2. Let g(n) be the third derivative of y(n). Factor g(r).\nAnswer: -2*(r - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) -3  (c) -1  (d) -2\/11  (e) -0.331\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1\/15, 1445.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 38993136*h**2 + 35882155 wrt h.\nAnswer: 77986272*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34047832.\nAnswer: 2, 7, 13, 46769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80 and 1357210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b + -2949372?\nAnswer: -2949380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -12  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 17 - a8de1?\nAnswer: -a8dca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (((-18)\/28)\/((-72)\/48))\/((-3)\/(-4))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 b, and 2 g when four letters picked without replacement from {b: 1, g: 2, w: 1, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/9781 greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**4*a*a**6\/a*a*a**(2\/13)\/a*a**(-6)*a)**23 assuming a is positive.\nAnswer: a**(1541\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 + 4*z - 4. Suppose 0*m = m + 2*c - 17, 0 = -3*m + 4*c + 61. Suppose 0 = 6*k - m + 49. Give d(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 41.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 + -530\nAnswer: -530.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 10890454997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = -74*s - 122 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*-1*((-30)\/10 - -4). Let z be (217\/(-175) - h)\/((-6)\/10). What is the closest to z in -1\/8, -2, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -4*s**2 - 2*s + 5. Let t be (7 - (1 + -1)) + -1. Let l(f) = 437*f + 5682. Let k be l(-13). Let u(y) = y**2 - 1. Calculate k*i(j) + t*u(j).\nAnswer: 2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 125 = 3*x + 169, 0 = -5*b + 20. Let g be 2\/(x\/(-6) + -9). Let t be ((-1)\/(-2))\/(148\/16). Is t < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -10*y**3 + 9*y**2 - 13*y + 20. Let o be c(10). Round o to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5*s**3 - 124*s - 27767 wrt s?\nAnswer: -15*s**2 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.098 and 1.3888?\nAnswer: 0.1361024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -1\/13  (b) -33.8  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*j - 28*j + 525 = 0. Let d = 0 - -2. Find the second derivative of -9*n + n - j*n**d + 67*n**2 wrt n.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 AM and 7:05 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 626 = -3*i + 3752. Let m be (-14)\/(-4) + 3\/6. Suppose -a + 218 = 4*f, -a - 4*a + m*f + i = 0. Calculate the highest common factor of 30 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 1, 0.2 in decreasing order.\nAnswer: 1, 0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 46c6a (base 16) to base 4\nAnswer: 1012301222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, 26\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -28*j**3 - 6*j + 6. Let o(c) = -869*c**3 - 187*c + 187. Give 187*m(q) - 6*o(q).\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 40 = -0*l. Let c = -10 - l. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 387*t. Let u(o) be the first derivative of 14*o**3\/3 - 192. What is u(g(d))?\nAnswer: 2096766*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 AM and 3:32 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 55924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 - 38*f**2 - 76*f - 8. Let r be z(-61). Suppose -r = -13*x - 10352. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30 - -4. Let p = -18 + 16. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of -389*w**3\/2 + 877*w**2\/2 - 983*w + 2. What is the first derivative of m(p) wrt p?\nAnswer: -1167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of -15\/2*b**2 + 59 + 2*b. Let a(f) = -2*f. Determine o(a(h)).\nAnswer: 30*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffffeoeooo. Give prob of sequence ff.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 640205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 4*r - 18, -3*r = 5*w - 3*w + 16. Let u(n) = n - n - 3*n + 2. Let k be u(2). Put w, -2, k in increasing order.\nAnswer: w, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vl when two letters picked without replacement from rdrdrdddvddddddrl?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2904 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12543.0000010629 - 12543. Round u to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, j: 6, n: 3, x: 1}. Give prob of sequence xhnh.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 139 divided by 1\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 4.4. Put -0.4, j, -0.3 in ascending order.\nAnswer: -0.4, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 40 - -79 - 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -39 - 1692?\nAnswer: -16cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 + 17. Does 32 divide 64\/(0 - (-2)\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/20*(2 - -3). Let m be (-21)\/84 + o\/8. Solve -37 = 5*z - 3*x, m = 3*x - 17 + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of -37*k**6\/60 + k**5\/60 - k**4\/12 + k**3\/3 - 831*k**2. Determine u(1).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 335655*l - 155311*l - 180354*l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_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: Round -90921000 to the nearest one hundred thousand.\nAnswer: -90900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1*4\/(-4))\/((-1)\/5). Solve -u - 2*u - 5*p = -1, 0 = 2*u + m*p - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 89 and -1.3822.\nAnswer: 87.6178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60.4576 meters to centimeters.\nAnswer: 6045.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 301096 and 24.\nAnswer: 903288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 27788 = 4*k, -3*g + 38*k - 34*k = -20840. Round g to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12.88 + 12.78. What is the closest to t in 2, 0, 195?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -937277\/17 + 55115. Is -20 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 100305727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 210 and 1070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) 2\/19  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 310286252 divided by 77571563?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - j + 10 = 0, -3*r - 2*j = 3*j - 26. Let d = -17 + 21. Calculate the smallest common multiple of d and (-16)\/r*66\/(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -218 - 413?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -805828879\/1000 + 805829. What is the common denominator of 81\/8 and x?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.03  (b) -4  (c) -164  (d) 51  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 48946.9m in micrometers?\nAnswer: 48946900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + 3*f**2 - 4*f + 2. Let a be m(-4). What is the units digit of (-2)\/(-3)*15 - a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0\/3)\/(-1 + -1). Suppose 0*f - f + 4 = z. Suppose 2*q + 0*s + 4*s - 162 = 0, 377 = 5*q - f*s. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -j - 8*m + 33, -2*j - 3*m = -46. Let n(q) = 3*q - 42. What is n(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -129659 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31760806?\nAnswer: 2, 7, 11, 18749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3\/3 + 27*s**2 + 529*s\/3 - 203.\nAnswer: -(s - 87)*(s - 1)*(s + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express ((4*s - 4*s - 2*s)*(14 - 15 + 19) + s - 1 + 1)*(-854*s**2 + 856*s**2 - 3*s - 16 + 5*s) as y + d*s**3 + r*s**2 + b*s and give r.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -401080, -1604426, -3610004, -6417814, -10027856?\nAnswer: -14440130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -156861?\nAnswer: -156861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*d - 179*d - 2 = -6, -4*c - 12 = d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 1 = u - 7, -5*v = u - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m - 3 = -3*m. Let t = m - -3. Suppose -t = -0*y - y. Calculate the highest common factor of y and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44 divided by -1175\nAnswer: -44\/1175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 3*b - 4, b = -3*y + 2*b + 4. Let j(z) = -z**2 - 5*z + 8. Let s be j(-6). Let c be (-1)\/(y\/s - 1). Solve 2 = c*w, 0*p - 1 = -4*p + 3*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (11 + -2 + 1)*((-1632)\/(-425))\/16. Factor 4\/5*v**5 + 0 - 16\/5*v**2 + 16\/5*v + 8\/5*v**4 - o*v**3.\nAnswer: 4*v*(v - 1)**2*(v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2\/13 - 20*i\/13 + 48\/13.\nAnswer: -2*(i - 2)*(i + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10166 and 18850156?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 499*c + 60376. Give k(-121).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 8, i: 2, r: 2, z: 7}. Give prob of sequence yzy.\nAnswer: 196\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of -y**4\/4 + 11*y**3\/3 + 7*y**2 - 9*y - 2. Let w be q(12). Let r be -2*(2\/(-2) + 0). Solve i = -k + r*k, 2*i + k = -w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 988 = -2*t, -4*t - 4*h + 200 = -1780. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6620)\/(-754680)*(-36)\/(-2)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 6*a**2 - 78*a - 14. What are the prime factors of l(9)?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 - u**2 + 2*u + 2. Let a be r(-2). Suppose -t + 32 = 4*t - 4*h, -8 = t + 4*h. Solve a = -2*x + b, -34 = 4*x + t*b - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**3)**10\/(r*r**2*r)**(-1\/6))**(-17) assuming r is positive.\nAnswer: r**(-1564\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1244 to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 11:19 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -57 + 67. What is the highest common divisor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3854 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-346 + 6*d + 346)*(-5 + d**2 + 5)*(-1 - 3 + 2).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 9 + 30*i**2 + 7.\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 - 0.1. Which is the second biggest value?  (a) 4  (b) 0.3  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 179586 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes before 10:53 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 66 - -40?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 11\/((-11)\/20) - 3. Let j be 1\/(-3) + 138\/9. Let t = j + p. Let m(u) = 14*u - 8. Let y(v) = -9*v + 5. Calculate t*y(c) - 5*m(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -48*n + 45*n + 3129, 5*n = -3*b + 3119. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2*c**2 - 421*c - 421. Calculate y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13198 by -129.\nAnswer: -13198\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -s - 1. Suppose f + 20 = -s*f, 3*u = f + 4. Solve y = -4*g + 8, -3*g + 3*y + 8 - 2 = u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -182, -356, -524, -692, -866, -1052, -1256, -1484?\n\"Answer: -q**3 + 9*q**2 - 194*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 5*f - 22 = 4*x, 5*x + 10 = -5*f. Suppose 0*o + x = 4*o + k, 5*o = 3*k + 25. Solve -l - 21 = u - 6*l, -2*u + o = l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98727240 to the power of 1\/2, to the nearest integer?\nAnswer: 9936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, x: 1, g: 1, u: 2, n: 1, i: 2}. What is prob of picking 1 u and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*(d**(-3\/7)\/d)\/d)\/((d*d**(-2\/7))\/d))\/((d\/(d**(-2\/17)\/d))\/d*d\/d**(-2\/11)) assuming d is positive.\nAnswer: d**(-4506\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2e9beb (base 16) in base 13?\nAnswer: -82c450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 0.1, 50, 16\/17?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 2*w - 508 = -4*v, v + 3 = 0. Let g = w + -15. Is g - ((-3 + 11)\/4 - 3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -133, -139, -145, -151, -157, -163?\n\"Answer: -6*v - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -10384728.\nAnswer: -10384728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2*a**3 + 13*a**2 + 5*a + 10. Let c be d(7). Let y(n) = n. Let j(w) = 2*w - 2. Let p(u) = c*j(u) + 7*y(u). Calculate p(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*p + 29 - 71. Let y(f) = f**3 - 5*f**2 - 5*f - 4. Let m be y(p). Solve -5*r = m*a + 26, -5*a - 35 = 5*r - 0*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -1\/274051 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.4, -161, 46, 0, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81061 is divided by 110?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + 132b125c?\nAnswer: 132b1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c - 1. Suppose 0 = 3*x + 2*k - 168, -112 = -x - x - 2*k. Suppose 9*g - x = g. What is v(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -194ac3 (base 13) to base 6\nAnswer: -21410123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29, -151, -367, -677?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1920 + 2758 = 2*n. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*m - 53*m + 750 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jtjaktgatjtjttt. Give prob of sequence tajk.\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3514 (base 12) to base 3.\nAnswer: -22010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - b - 73314 = 0, k - 6*b + 2*b - 24427 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 88 + -156. Let p = f - -14. Let s = p + 107. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 - x. Let b(n) = 22*n**3 - 5*n**2 - 5*n + 4. Calculate -b(p) + 5*d(p).\nAnswer: -22*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of -1\/15*p**5 + 0 + 2*p**2 + 0*p**4 + 0*p - 1\/6*p**3. Differentiate h(b) with respect to b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 3*g + 22 = 12, g = 4*t - 8. Let b be -4 + 4 + t + 3. Suppose b*u + 28 = 4*a, 0*a = 2*a - u - 20. What is the remainder when 55 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - c. Let y(t) = 5*t**2 - 5*t + 1. Let w(v) = -4*f(v) + y(v). Let z be w(2). Let j = z + 12. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 165 and 26794383?\nAnswer: 133971915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1542980 divided by -41?\nAnswer: 1542980\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12657320?\nAnswer: 2, 5, 13, 101, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 86410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 PM and 7:13 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from faelffeayfeqea?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 55 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1096205 divided by 19931?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 643, 1216, 1791, 2368, 2947, 3528?\n\"Answer: r**2 + 570*r + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 426167029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 144186504 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-100)\/(-175) + 20\/14. What is the hundreds digit of ((-24)\/t)\/(4*10\/(-1420))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3741000272 - p**2 - 3741000272 + p**2 + 18*p**3.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -9, 481, 2, 1.\nAnswer: -20, -9, 1, 2, 481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15782?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 13 + 28 - 31 - 2*n. Give u(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 32.9 - 1458.\nAnswer: -1425.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**6\/k*k**(1\/12)*k*k assuming k is positive.\nAnswer: k**(85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 4*u - 13. What is i(14)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + 6\/(-2) + 6. Let t = 0.3102 - -7.6898. What is the biggest value in t, 0, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 579 is divided by 125.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*l = -2*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/5, -5, -2\/1163 in descending order.\nAnswer: 6\/5, -2\/1163, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 469276835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 7 - 37. Let v be -4 - d\/(33\/72). Suppose -v*l + 128 = -16*l. Calculate the remainder when 126 is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(1\/2))**43\/(i**(2\/17)\/((i\/((i*i**(-1\/2)\/i*i*i*i)\/i))\/i)))**39 assuming i is positive.\nAnswer: i**(13182\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/24)\/(3\/9)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 104*u**3*w**2 + 161*u**3*w + u**3 - w**2 + w wrt w?\nAnswer: 208*u**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -5*j**2 + 5*j - 16. Let s(q) = q**2 - q + 3. Let v(y) = -9*y - 2. Let k be v(1). Calculate k*s(z) - 2*w(z).\nAnswer: -z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence exae when four letters picked without replacement from nxxxeaexaaxneena?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 11*p**2 - 13*p - 14. Suppose 9*n - 14*n = 5*t - 1520, 0 = 2*t - 8. Suppose 0 = 23*s + 2*s + n. Calculate j(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*k = -34*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-156)\/(-6760)*(-13364)\/771\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 2*x - 1663, 110*p - 113*p + x + 4964 = 0. Does 57 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*r + l, l + 2*l = 3. Suppose 3*v = r*o - 93, 3*v + 76 = 5*o - 134. What is the remainder when 271 is divided by o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1475*d**3 + 1621 wrt d.\nAnswer: 4425*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -96 - -96.31. Let j = 0.504 - 0.094. Let y = b - j. Which is bigger: -28 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 285844237.\nAnswer: 7, 89, 458819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2364979308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2176)\/(-73848))\/((-104)\/39).\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 7*h + 7. Let b be q(6). Let o = -1429 - -1417. Let z be (10\/(-20))\/(o\/(-96)). What is the smallest value in -0.3, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 386017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, d: 3}. Give prob of picking 1 d and 2 s.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 308445479 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 25863, 51725, 77587?\n\"Answer: 25862*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 32 + 8. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of h**2*r**2 - 8*h**2 + 3201817*h*r**4 - 76*h + 2*r + 357 wrt r.\nAnswer: 2*h**2 + 38421804*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 10*q**2 - 33*q + 9. Calculate b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03 - -29419034514.\nAnswer: 29419034513.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 8, u: 1, d: 4, v: 1, k: 1}. What is prob of sequence uf?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 6*u - 35. Let v = -151 + 156. Let j be k(v). Sort -1, -21, j in descending order.\nAnswer: -1, j, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 2*j - u + 6, -u + 15 = j. Solve -5*b = 2*g + j - 0, 4*b = 3*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 10:27 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2122 (base 3) to base 6\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v**4 + 38*v**4 + 2 + 6*v**2 - 5*v**2 to c*v**2 + z*v + u + p*v**4 + y*v**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 j when three letters picked without replacement from {j: 9, p: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 15470940539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -99\/7441322 and -59\/113090.\nAnswer: 37206610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 318961 and 236318?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 543518252 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -35148.54 to the nearest 10.\nAnswer: -35150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2969 - -5028. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1037431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (195 - 162) + -77 + 9?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 27, 5, -4, 2, -94, -5 in increasing order.\nAnswer: -94, -5, -4, 2, 5, 9, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (42 - 185 - 18)*(219*j**2 - 29*j**2 - 10*j**2) to y*j + z*j**2 + v and give z.\nAnswer: -28980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 + -18. Let h = 1.8 - -0.2. Let s = 0.1 + -0.6. Which is the closest to 0?  (a) q  (b) h  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 4 = p, 4 = 5*p + o - 18. Suppose -5*v - p - 1 = 0. Does 7 divide (3 - -24) + -1 + v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(68) - -3*(sqrt(68) + -1)) + -5))**2 - (sqrt(68) + 5 + sqrt(68) + -4 + -3*sqrt(68)*1)**2.\nAnswer: -3196*sqrt(17) + 28731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.174 or 153674?\nAnswer: 0.174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 14311 - 5?\nAnswer: 14303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 51470 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 4*c**3 - 8*c**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12318 is divided by 743.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3. Let b(w) = -10*w**3. Let l = -123 + 68. Suppose -10 = -2*d, 2*d - 1783 = -4*t - d. Suppose 433*m = t*m + 54. What is l*o(n) + m*b(n)?\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + 3845?\nAnswer: 3840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -82 - -84. Let p(h) = -15*h**3 - 16*h**2 - 11*h. Let f(l) = -3*l**3 - 3*l**2 - 2*l. Give v*p(q) - 11*f(q).\nAnswer: 3*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6708)\/52)\/((-3)\/7) + 2*1. Solve 307*l - r*l - 24 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p - 25. Calculate z(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:05 PM and 5:33 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 - 99*p + 3253. Calculate c(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10896253 is divided by 267?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (p**2 + 22*p**2 - 3*p**2)*(-11 - 4*p + 11)*(-3 + 5 + 1) as s + x*p**3 + j*p**2 + i*p and give x.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 436 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -857 * -833.\nAnswer: 713881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - 154*q**2 - 457*q - 13. Let d be g(-151). Solve 189 = -67*l + d for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -10 - 8 + 25 + y**2 + 7*y. Let a be w(-9). Let d = -21 + a. Calculate the lowest common multiple of d and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41097\/8963 at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/8 - (-66)\/24. Suppose x*k - 355 = 2*g - 6*g, -4*k - 235 = -3*g. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 9*n - 14. Let g(b) = 2*b - 5. Let k(d) = -4*g(d) + x(d). Give k(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -c**2*i**3*s**2 + 9012*c**2*s**3 + 8*c*i**2*s**2 - c*i*s**2 - i**3*s**2 - 6854*s**3 wrt c?\nAnswer: -2*i**3*s**2 + 18024*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-4\/3))\/l**(2\/7)*(l**0\/l*l)**(-23))\/((l**(-3)\/l)**(-2\/11))**29 assuming l is positive.\nAnswer: l**(-5015\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 344 divide 213442712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 135 = 3*b, -b + 71 + 54 = 3*j. Suppose j = -5*n + 3*n. Let g be ((-1)\/5)\/(6\/n). Put -1\/5, g, -2\/9 in ascending order.\nAnswer: -2\/9, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 543785603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - -1 - (17 - 21). Suppose 10*c + 145 = s*c. Let o = c - -37. Solve -b = 4*h + 8 - 21, -5*b - h + o = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -4742065.\nAnswer: -1\/4742065","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 20 in -19, 16\/11, -2\/15, 0.2?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + x + 56 = 0. Let q(z) = 2*z**2 - 26*z - 23. Let b be q(x). Suppose 4*s - 6727 - 5620 = -b*m, 4*s = 2*m - 4922. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) -46\/35  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 117563805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 432 and 566448?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10609 + -10609. Factor u**2 + 1\/2*u**4 - 3\/2*u**3 + 0*u + f.\nAnswer: u**2*(u - 2)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(104)\/sqrt(2))\/(sqrt(36)*2).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 + 0 + 3)\/3. Is -5\/9 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 - 15*p**2 - 14*p - 8. Let q be y(-14). Are q and -8 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 132 = 166. Suppose 22*k + d*k - 112 = 0. Factor 3\/2*z**k + 3\/2*z - 9.\nAnswer: 3*(z - 2)*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(162) + 0 + sqrt(162)) + -3 + -2 + 2*sqrt(162) + -1 + (-1 + sqrt(162))**2.\nAnswer: 90*sqrt(2) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1712384 + 128?\nAnswer: 1712523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -90*q - 890 - 1481 + 48901. What is the lowest common multiple of 33 and q?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.121088 + -1250.84\nAnswer: -1250.718912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 365 + -370. Which is the smallest value?  (a) m  (b) 17\/6  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 293361.\nAnswer: 3, 97787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -678cd (base 16) to base 10.\nAnswer: -424141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -134*f + 84 = 135*f - 255*f. Let u = 30 - 27. Solve d = u*d + f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 5 + 1 = 0. Put -0.3, -0.4, 1\/6, u in descending order.\nAnswer: u, 1\/6, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6.476 - 7.376. Sort 3, -19, a, 5, 1.\nAnswer: -19, a, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23985 divided by -3.\nAnswer: 7995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 755 is divided by 94?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 5*x = -24. Suppose 16 = x*w - 2. Sort w, -1, 2 in descending order.\nAnswer: w, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g**2\/7 - 5736184*g\/7 + 11472352\/7 = 0. Calculate g.\nAnswer: 2, 1434044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*w - 31*w + 94*w + 3*z = 9, -23*z = -2*w - 40 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1317440.\nAnswer: 2, 5, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 166 + -159. Solve g = n - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -h**2 + 2246 - 2*h**2 + h**2 + 51*h**3 - 2247 + 15*h**3 as p + y*h**3 + w*h**2 + c*h and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 6*y - 16 = 0. Suppose -3*k + f + 264 = 0, -27 = -k + y*f + 50. Suppose r = -0 + k. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 35*c + 1. Let f = -101 - -121. What is the remainder when o(1) is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3\/7 + 8*x**2\/7 - 6*x\/7 - 36\/7.\nAnswer: 2*(x - 2)*(x + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 - 11*s - 40. Let j be z(14). Differentiate 1591*q - 1591*q - 48 + 99*q**j - 32 with respect to q.\nAnswer: 198*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d230 + 2?\nAnswer: -d22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*s - 1644 + 325 = -10103. Solve -11*i + s = -35*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ipp when three letters picked without replacement from ppricrpkdrci?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - -8)\/(1 + 0 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -158 + 58. Let t = z + 287. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 29*i*o*q + 2*i*o + 71*i - 3*o*q + q wrt q.\nAnswer: 29*i*o - 3*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 46 + -25. Let y be 1\/(-1*r\/(-9)). Which is the nearest to 1?  (a) -3\/4  (b) -4  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1371757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + y)*(-2*y**2 + 3 - 3) + (-3*y + 0 + 0)*(144*y**2 + 193*y**2 - 235*y**2) to the form f*y + m + i*y**3 + j*y**2 and give i.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 62\/22 + (-18)\/(-99). Let y = o - 0. Sort y, -5, 1 in decreasing order.\nAnswer: y, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 198\/51 + (-4)\/(-34). Suppose w*q - 481 = 399. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8957122 is divided by 69435.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 1 = 11. Find the third derivative of 39*x + 3*x**m + 2*x**2 - 39*x + 26*x**2 wrt x.\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29040 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 946*o**3 - 487*o**3 - 466*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2*p - 3. Let g(x) = 27*x - 9. Let k(q) = -g(q) + 3*s(q). Let f(d) = 9*d. Give f(k(b)).\nAnswer: -297*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1601, -3325, -5049, -6773, -8497, -10221?\n\"Answer: -1724*l + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (851*w**2 + 123 + 839*w**2 - 1689*w**2 + 2*w**3)*(18 - 30 - 33) in the form l + k*w + f*w**2 + r*w**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(12) - (sqrt(192))**2)*4.\nAnswer: -772 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/286 and 95\/2314.\nAnswer: 25454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 9) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4106 is divided by 813.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**2\/4 + 9*i\/2 - 81\/4 = 0. Calculate i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -4*m + 2*z, 4*m - 8 = -z - 3*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 0.04  (c) 0.3  (d) 9  (e) 0.084\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11120 (base 4) to base 15.\nAnswer: -17e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.01117 + 0.053454. What is l rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of 0 - 9*v - v**2 + 0*v**4 + 1\/20*v**5 - 1\/3*v**3. Let a(o) = 3*o**3 - 4*o - 5. Calculate -2*a(z) + 5*r(z).\nAnswer: -z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of -49*i**6\/15 + 119*i**5\/10 + 95*i**4 + 292*i**3\/3 + 40*i**2 - 14*i - 20. Determine f so that o(f) = 0.\nAnswer: -2, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -275 + 5?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*f - 2*f + 2*f + (-1 + 1 + 2)*(-2 + 2*f - 3*f + 0).\nAnswer: f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 91  (b) 12.6  (c) 3.1  (d) -1  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -70.3 + 2.1. Let s = 51 + i. Round s to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40137416.\nAnswer: 2, 11, 456107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h - 5*h - 4*p + 9 = 0, -3*h + p = 11. Put h, 5, 0, 9 in increasing order.\nAnswer: h, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001068036 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -98a284 (base 12) in base 16?\nAnswer: -24f904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (51 - 51 + 24*n)*(n + 4 - 4) + 2*n**2 - 2 - 4*n**2 + 1 - n.\nAnswer: 22*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4709)\/34 - 5\/(-2). Let y = b + 144. Calculate the remainder when 14 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 585 (base 9) to base 16.\nAnswer: 1e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n**3 + 171502*n**2 - 685984*n + 685976 = 0. What is n?\nAnswer: 2, 85747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8, 4\/5, -0.31, -1\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 3*y**5 + 1662*y**4 - 6696*y**3 = 0.\nAnswer: -558, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -44 (base 7) to base 11.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 34430 + -21?\nAnswer: 34409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + (sqrt(18) - (sqrt(108)\/sqrt(6) - sqrt(18)))\/sqrt(9) - (sqrt(2) - 4*sqrt(10)\/sqrt(5)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*m**3 + 12*m**5 + 3*m + 2*m**3 - 4*m**5 wrt m?\nAnswer: 160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-864)\/90*3\/(-12)*10. Let o = 41 - 25. What is the highest common factor of o and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2776291 is divided by 549?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 15) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*j**3 + 5*j**3 + 58*j**2 - 58*j**2.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 503 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 11) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.2272 and 149603 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 x when three letters picked without replacement from {x: 6, l: 1, i: 3, j: 4}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*a - 10*a - 24 = 0. Let o be (a\/6*5)\/(14\/(-84)). Let k = 46 + o. What is the lowest common multiple of 30 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -242*c + 190 = -507*c + 227*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 PM and 12:14 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l + 17. Let k be y(-11). Let a be (3\/k)\/(0 + 2\/5). Suppose 3 = 3*w - 4*w. What is the nearest to 2\/3 in w, a, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/15 + 231\/45. Let h(d) be the first derivative of 0*d + 7 - 4\/15*d**s - 8\/9*d**3 - 4\/9*d**2 - 13\/18*d**4 - 1\/27*d**6. Factor h(p).\nAnswer: -2*p*(p + 1)**2*(p + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of 12*g**2 - 25 + 2\/3*g**3 + 0*g. What is the second derivative of f(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -207 + 208. Let m be (-9 - x)\/(10 - 11). What is the highest common factor of 40 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 55*s + 499. Let q be r(-9). Sort q, 15, 1 in ascending order.\nAnswer: 1, q, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = -174*p + 139*p, -3*p + 3*k = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 177 + -174.86. Let z = v - 0.14. Let h(r) = r**3 - 8*r**2 - r + 10. Let o be h(8). Is o > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 61, 86, 77, 22, -91, -274, -539?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 l, and 1 q when three letters picked without replacement from tzqll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 530265*w + 2012534?\nAnswer: 530265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -7, 0, -82 in descending order.\nAnswer: 0, -0.4, -7, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**2 + 17*b + 7*b**2 - 19*b + (2 - 1 + 1)*(-2*b**2 - 2*b**2 + 3*b**2).\nAnswer: 6*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.7 - 0.3. Let v = -3.6 - u. Let c = 4.1 + v. Is c less than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 253748 is divided by 1715?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 76 + -75.99999938. Round m to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7783.00000049025 + 7783. Round k to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27389068207*d + 27389068207*d - 411*d**3.\nAnswer: -411*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 4) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times -16.71356?\nAnswer: -1.671356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 98\/28 + 1\/2. Let x(n) = 4*n - 4. Let g(f) = -f**2 - 5*f + 5. Let p(y) = t*g(y) + 5*x(y). Let k(w) = 8*w. Calculate p(k(b)).\nAnswer: -256*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12086*v - 6286*v + 4726*v.\nAnswer: -13646*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of 13*q**3 + 5*q**2\/2 + 234*q - 824. What is the first derivative of f(c) wrt c?\nAnswer: 78*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-68967)\/(-3871))\/(18\/210*5). Factor 432\/7*h - 3\/7*h**4 - 192\/7 - q*h**2 + 54\/7*h**3.\nAnswer: -3*(h - 8)**2*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*h - 22 = 1238. Solve 30*r + 45 = -h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.106 + -0.894. Let i = 9 + -13. Let s be 4\/18 + i\/18. Is o at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 6*b**2 + 19 + 2*b - 7*b**2 - 8*b. Let y be h(-9). Let w(z) = z**2 + 9*z + 6. Give w(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 5*y = 3*g - 12, 3*g + 4*y = 12. Let p(m) = -2*m**2 - 2*m + 2. Let u(o) = -2*o - 4*o + 0*o + 3 + 3*o - 3*o**2. Determine g*u(c) - 5*p(c).\nAnswer: -2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23 - 23*u + 23 to q*u + h and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (2 - -110) + -5 - -7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 6*a**2 - 2*a - 2. Let p = -139 + 149. What is the lowest common multiple of p and j(2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 359556*n - 359554*n - r, 4*n + 18 = -r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -11*r - 306. Let u(l) = -2*l - 100. Let o(q) = 3*u(q) - v(q). Let z = 11 - 5. Suppose -z - 2 = -2*y. Let n(x) = -6*x - 7. Give y*o(j) + 3*n(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of -n**6\/240 - n**5\/120 + n**4\/48 + n**3\/12 - n**2 + 3*n. Let j(q) be the first derivative of o(q). Factor j(x).\nAnswer: -(x - 1)*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2852 - -37082\/13. Let t = 0.04 + -2.04. Which is the second biggest value?  (a) -5  (b) t  (c) -0.4  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -3. Suppose 0 = h*d + 3*r + 12 + 1, -2*d - 18 = 4*r. Let g = 6 + d. Solve -5 = -j + 4*v + g, 0 = j + 2*v + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 564582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 511, 3.5, -96?\nAnswer: 511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3855 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -42 - -48. Let b(a) = -2*a - 6. Let j be b(-4). Suppose 4*s = w - j. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 40216 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 40517, 50018, 59521, 69026, 78533, 88042?\nAnswer: 97553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fourty-one halves of a century?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mwttxeom. Give prob of picking 3 t and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 14060*r**2 - 5 + r - 14052*r**2 + 2*r**3 + 3 in the form y + l*r + d*r**2 + u*r**3 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 150043 (base 6) to base 13\nAnswer: 6669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004514 rounded to four dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2778.304 litres in millilitres?\nAnswer: 2778304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) -2  (c) -5  (d) -3  (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -143, -273, -415, -575, -759, -973, -1223, -1515?\n\"Answer: -l**3 - 123*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2012*c + 703*c + 567*c - 1613*c to s + i*c and give i.\nAnswer: 1669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (4 - 6) - (-261 + 315)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -151*c - 4. Let q(z) = -152*z - 2. Determine -2*a(j) + 3*q(j).\nAnswer: -154*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u - 71 + 2*u + 4*u - 3*u - u + 9 + 58.\nAnswer: 3*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 46*d - 50*d + 36. Suppose 0 = -t - 5*t - 330. Let s = -25 - t. What is the least common multiple of d and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5279 + 5278.9999996821. What is x rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qmu when three letters picked without replacement from {q: 9, m: 2, f: 1, u: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5553445769 - -1?\nAnswer: -5553445768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 4 - (94 + -87).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + 8*h - 5. Give v(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 1190*j + 91. Is p(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - 4*h**2 + 4*h + 3. Suppose 6*z - 2*z = -w - 17, 0 = 2*z + 4*w - 2. Determine y(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 7, i: 2, x: 4}. Give prob of sequence iz.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 4:11 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) -736\/3  (c) 1501\/2  (d) 0  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(209))\/sqrt(11) - (2 + sqrt(95)\/sqrt(5))**2 - (4 + -1*sqrt(171)*1)**2.\nAnswer: -210 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -48*u + 92. Let q = 1169\/348 + -3\/116. Which is the third smallest value?  (a) -2  (b) u  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1084, -2286, -3498, -4726, -5976, -7254?\nAnswer: -8566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -4*s - 53. Calculate m(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/58 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away -4.88?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 + 35*m - 50. What are the prime factors of j(14)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes before 3:12 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 13, 4399, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 2*b + 2*l + 1, 5*l - 1 = -4*b. Let h(r) = 12*r - 108. Let f be h(9). Sort -3, f, b in increasing order.\nAnswer: -3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(10\/(-2))*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u + 1. Let o be p(-1). Solve 0 = 4*x - g - 6, 0 = -3*x - 0*g + o*g + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1102 + -951. Suppose -18 = 7*n - h. Solve z + n = -4*s, -2*z + 6 = -s - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2102.4 - -2102.400010923. What is w rounded to seven dps?\nAnswer: 0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -264 by -3.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1668 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -0.4  (b) -3  (c) 9.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2. Let b(q) = 7 - 10 + 3 - 9*q. Determine b(z(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4500 divided by -30?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/28 and (-107 + -2)*2\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v + 3*v = -9*v. Suppose v = 11*u - 4 + 15. Is -1\/12 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 4*j**2 + j - 1. Let r be l(-3). Suppose 71*d - 3*d = 408. Solve r*g - 3*g = -d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnslnlsssssnsnnnlsel.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/(2\/2))\/((-95)\/(-42845)). Let r = -91 + f. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 166  (c) -0.166  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -5*b + 3. Let p(u) = 14*u - 10. Let q(j) = -11*n(j) - 4*p(j). Suppose -280 = -121*c + 161*c. What is q(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 960 a factor of 40325760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/8 - 3) + 850\/2040?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2246*c**2 - 18*c - 10376522 wrt c?\nAnswer: 4492*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9027\/113220 - (-2)\/5 and 14\/481.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -148*s**2 + s + 145*s**2 + 4 + 2 to b + f*s**2 + d*s and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-11)*v**(6\/7))\/(((v\/v**(2\/7))\/v)\/v*v**(-8\/7)) assuming v is positive.\nAnswer: v**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.276 - 0.26. Let z = d - 3.016. What is the third biggest value in 0.3, 5, -2\/9, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 261*x**2 + 76*x**5 - 261*x**2 + 4 + 2*x wrt x.\nAnswer: 1520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00917256 rounded to 5 decimal places?\nAnswer: 0.00917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7303588 a multiple of 477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 53*b + 54 - 266. Let t(u) be the second derivative of 1\/90*u**b + 0 - 4*u - 4\/15*u**2 + 0*u**3. Factor t(y).\nAnswer: 2*(y - 2)*(y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2432 (base 6) to base 16\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4*s = -10. Suppose -4*q - s = -53. Suppose -j - q = -4*j. Put 1, -2\/19, j in increasing order.\nAnswer: -2\/19, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5.9 - 5.88. Let p = i - 0.42. Let z = 0.6 + -0.9. What is the second smallest value in z, p, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of 5*z**4\/4 - 4*z**2 - 4*z - 7. Let y(g) = 3*g**3 - 3*g**3 + 4*g**3 - 3 - 7*g. Give -5*v(x) + 6*y(x).\nAnswer: -x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -11*h**3 + h**2 - h. Let u be s(1). Let j be 4\/(-38) - 7320\/(-228). Let x = j - u. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1666497219.\nAnswer: 3, 113, 1151, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30261.56g to milligrams.\nAnswer: 30261560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 187*a**4 + 29*a?\nAnswer: 2244*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -3\/8  (b) 1\/2  (c) -0.08  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n**3 + 15*n**2 - 9*n + 15. Give c(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 135857 and 50573?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of -3*m**4\/4 + m**3\/6 + m**2\/2 + 2. Let a(p) be the second derivative of i(p). Is a(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 924\/(-55)*(-15)\/3. Let j = 31 + -23. Let d = 64 - j. What is the highest common factor of y and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of -74 + 1\/38*a**4 - 8\/57*a**3 + 0*a + 4\/19*a**2. Suppose s(b) = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in t**3\/4 + 5*t**2\/2 - 43*t\/4 - 13 = 0?\nAnswer: -13, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 138068 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 18767677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 + n**2 - 20*n - 18. Let b(d) = -2*d**2 + 22*d - 11. Let x be b(11). What are the prime factors of h(x)?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 - 7*a**2 - 3*a - 9. Let h be y(-7). Let d = 11549\/4 + -2865. What is the common denominator of (h\/10)\/((-32)\/(-310)) and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of -9*p**5\/20 - p**3\/6 + 7*p - 5. Determine h(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 205\/738*(-4)\/5.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -81 + 83. Let s be (h\/(-3))\/((-8)\/12). Is 3 - (-2212 + s + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (2 + (-1 + sqrt(5) - sqrt(5)) + -5)**2 + (2*sqrt(10)\/sqrt(2) - (2 + sqrt(405))**2).\nAnswer: -388 - 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.13 + 135.\nAnswer: 135.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of 249*v**6\/8 - 826*v**4\/3 + 75*v**2 + 6. What is the second derivative of l(f) wrt f?\nAnswer: 22410*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18964 is divided by 2107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**2 - 6*s - 4. Let m be z(4). Suppose -m*d + 50 = 6*d. Solve d*h = -0*h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - (18 + (-7 - 39))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -1) + (-83 - -75)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6010435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8967198 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 3*d + 9. Suppose 30 = 4*y + 14. Let t(l) be the first derivative of 1\/2*l**2 - 2 + y*l. What is 5*t(h) - 2*z(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/24 - (-6)\/(-8). Let c be (-90)\/(-4)*(-2)\/x. What is the greatest common factor of 18 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 312?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2556543 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-6*(4 + -5))\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(128) + -3.\nAnswer: -3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -32190 + 60088. Suppose 8*h = -5394 + i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of -1\/12*d**5 + 1\/60*d**6 - 1\/6*d**4 - 4*d**2 + 0 + 1\/3*d**3 + 0*d. Let r be a(3). Is -9 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.8 + -0.6. Let c be (-6)\/45*3\/4. What is the biggest value in x, c, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -2*k + 42 + 82, 4*k + 265 = 5*d. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171 = 40*l - 69. Let j be (-1)\/l*4*-3. Solve -4 = -j*g - 3*c + 4, g + 3*c = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*d - 127*d**2 - 27 + 131*d**2 - 22 + 13 = 0. What is d?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 1 + 4 = 2*h, 5*j - 2*h + 23 = 0. Which is the nearest to -7?  (a) j  (b) -5  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 52\/35 + -6\/5. Let r = -3.722 + 7.722. What is the second biggest value in 4\/3, u, r?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*h*p**3 - 185*h*p - 741*h + 2*p**2*s**2 - 7*s**2 - 2 wrt p?\nAnswer: 12*h*p**2 - 185*h + 4*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from fqzzqm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7599890937?\nAnswer: 3, 89, 28464011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -42*a + 3. Let w(u) = u**3 - 5*u**2 + 3*u - 2. Let c be -1*6\/(-9)*6. Let m be w(c). Is 51 a factor of f(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -263758955 - 716\nAnswer: -263759671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17\/(-8))\/((-19)\/((-456)\/(-9)))?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -78\/535 + -6351\/2675. Calculate the common denominator of x and ((-1184)\/128)\/(1015\/58).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 529*q - 7. Let x(i) = -12*i**2. Calculate x(v(j)).\nAnswer: -3358092*j**2 + 88872*j - 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, q: 1, i: 1}. What is prob of picking 1 q and 3 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-12)\/o*o*o\/(o*o**(-1\/6))*(o**(2\/51))**(-4\/29) assuming o is positive.\nAnswer: o**(-11673\/986)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20*m**4 + 7305*m**2 - 61*m**4 - 46*m**5 - 39*m**5 + 89*m**5 wrt m?\nAnswer: 240*m**2 - 984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 147 + 37. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {o: 4, e: 4, h: 3}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -1. Let a = -59 + 56. Let h(o) = 7*o + 2. Let n(b) = a*r(b) - h(b). Let q(k) = k. Let z = 24 + -18. Calculate z*q(g) + n(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2672063 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6  (b) 4  (c) -2\/17  (d) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4884 and 333.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(425) + -2*(-3 + sqrt(425))) + 1*(sqrt(425) + -3) + 3)**2 + 2.\nAnswer: -120*sqrt(17) + 1738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 5:41 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -7455 divided by -3\nAnswer: 2485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 280.937?  (a) 4  (b) 4\/9  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - (0 - -8)) + 46 + -35?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-eight thirds of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (17\/(-2))\/(2\/4). Let s = 74 + -37. Let h = s + v. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -67\/4, 4, 2, 31\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of -675*w - 159 + 23 - w**3 + 46*w**2 + 40*w**2 - 41*w**2. Factor i(m).\nAnswer: -3*(m - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -89 + 40. Let v = -244\/5 - u. Is 1 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/2815, -504, 2 in decreasing order.\nAnswer: 2, 2\/2815, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f**3 + 4*f**2 + 5*f + 4. Let y(c) = c**2 + c + 1. What is -i(q) + 4*y(q)?\nAnswer: 2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.06521 times -1454\nAnswer: -94.81534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 15*s**2 - 798*s - 5594. Determine r(-7).\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 38*m + 18 = -35*m, 0 = -q - 3*m + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, r: 12}. What is prob of picking 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + 11*c**2 + 6*c + 13. Let g(f) = 3*f**3 - 23*f**2 - 11*f - 27. Let d(j) = 2*g(j) + 5*h(j). Determine d(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*z = 140*z - 135*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 2 + 0)*(2*j**3 + 0*j**3 - 4*j**3) + 2*j**3 + 0*j + 0*j)*(1 + 1 + 0)*(20*j - 2*j - 2*j).\nAnswer: 192*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 148 and 42.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 46, 87, 128, 169, 210, 251?\n\"Answer: 41*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 466483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -859 = 7*y + 2060. Find the common denominator of 2\/3 - y\/(-45) and -15\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00095669771 to six dps.\nAnswer: -0.000957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -139 divided by 610.\nAnswer: -139\/610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 20*x**2 - 143*x. Let p(g) = g**2. What is u(p(y))?\nAnswer: 20*y**4 - 143*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*w + 2509*w**2 - 1294*w**2 - 1267*w**2 + 9*w.\nAnswer: -52*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v*v**(3\/4)\/v*v*v)\/v*v)\/v**(-6\/7)*v**15*v**25)**1 assuming v is positive.\nAnswer: v**(1249\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.03 - -0.02. Let w = u - 0.29. Put -0.1, w, -1 in decreasing order.\nAnswer: -0.1, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19916670.\nAnswer: 2, 3, 5, 757, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 15, u: 4}. Give prob of sequence uf.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x**2 + 46*x - 226. What is h(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -111308, -445340, -1002072, -1781510, -2783660, -4008528?\nAnswer: -5456120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2392 + -2391.7. Suppose v - 2*v = -3*n - 36, -5*v + 5*n + 170 = 0. Let y be 9\/v*2\/(-3). Which is the second smallest value?  (a) y  (b) d  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.4 times -39862\nAnswer: 95668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 5:25 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3783, 15248, 34387, 61224, 95783?\nAnswer: 138088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27219, -27472, -27725, -27978?\nAnswer: -28231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2540081107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the first derivative of r**2\/2 - 17*r - 21. Let j be a(32). Solve -15 = 4*f - 0*h + h, 2*h = f + j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -14*u**2 + 3*u - 3. Let p(o) = 27*o**2 - 7*o + 7. Suppose 0 = s - 5*h - 7, -2917*s + 2919*s + 3*h = -12. Give s*p(k) - 7*j(k).\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, m: 2, z: 2, n: 6}. What is prob of sequence mz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 115382 = 12*g - 526039. What are the prime factors of g?\nAnswer: 3, 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -11*p**2 - 8*p + 2. Suppose 9*z = 10*z + 3*m - 10, -3*z - 6 = -3*m. Let x(w) = w**2 + w + 1. Give z*q(n) + 6*x(n).\nAnswer: -5*n**2 - 2*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 4*t + 10. Let q be c(8). Let a = q - 128\/3. Let k = 0.2 - 0.3. What is the nearest to k in 3, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11611, 11562, 11429, 11170, 10743, 10106, 9217?\nAnswer: 8034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 - -38. Suppose 0 = -5*m + 15, -t*r + 21 = -2*r + 2*m. What is the second derivative of -5*l - 8*l**2 + 2*l + r*l wrt l?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the third derivative of -q**5\/15 - 7*q**2. Let l(g) = 9*g**2. Give y(l(z)).\nAnswer: -324*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.13 at most as big as 0.05992343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 7\/6, 7\/3, 3?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4517 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 97913125 divided by -25625?\nAnswer: -3821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1623 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -179 - -185. Suppose -2*k = -3*k + 4*j + 20, 25 = k + j. Calculate the greatest common divisor of y and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5024*m - 10054*m + 338*m**3 + 5030*m.\nAnswer: 338*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/13)*x*x**4*x**(4\/5)*x**(-3\/5))\/((x**(-2\/11)*x**(1\/3))\/((x**1\/x)\/(x**(1\/3)\/x))) assuming x is positive.\nAnswer: x**(11929\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-2 - 2 - (-6 - (9 + -5)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42694.\nAnswer: 2, 21347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, -0.3, 0.5, -13\/53, -3\/4, -1\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1591*c**3*l*v**2 - c**2*v**2 - 2*c**2 + 24*l wrt c.\nAnswer: 9546*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 20 = 3*z - 0*z, 0 = -3*z + 4*m + 10. Suppose 3*r + 255 = z*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104559*x + 16 + 9 - 104559*x - 2*x**2.\nAnswer: -2*x**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 5:34 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000005119185 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1914840411 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*z - 444 + 498 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and 284?\nAnswer: -56.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 6. Let w(g) = -g**3 + 7*g**2 - 7*g + 4. Let n be w(v). Let y(u) = 167*u**2 + 2. Let j be y(n). What is j rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-27)\/(-2702)) + (-26)\/819*(-140)\/60.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = 4*l, 0 = -5*c + 2*l + 630. Let a = -118 - -314. Let i = a - c. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of 0*i**3 + 5\/12*i**4 + 2*i + 1\/5*i**5 + 0 + 0*i**2. Find the third derivative of y(t) wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 2*q + 80 = -2*a, 0 = 3*a + q + 58. Let b = a + 8. Let v = b + 7. Let m(n) = n + 4. What is m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u - u + u)*(3286 + 4668 + 8753).\nAnswer: -16707*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2222028\/56 - (-32)\/80*(-20)\/112 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 take away 367884.33?\nAnswer: -367843.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.97 + -0.03. Let v = x + 5.8. Let i = 1 - 2. Sort i, v, 5.\nAnswer: i, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/3*(-27)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.4, -5, 1\/3, -0.3, 146, 0.535?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.5 + -6. Let d = 99.724 + 0.276. Let g = d - 100. What is the nearest to g in p, 0.3, 22?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**4*m**(-2\/9)\/m)\/(m*m**0)**35 assuming m is positive.\nAnswer: m**(-281\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -1\/2*p**2 - 5\/6 - 3\/2*p + 1\/6*p**3 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -157996.591 - -157877. Let c = -80.58825 - p. Let y = -39 + c. Round y to 4 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -812 + 882. Suppose 2*q = 3*q - 36. Calculate the remainder when n is divided by q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - -3. Let b = -13.649 - -12.249. What is the closest to 1 in b, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1633 divided by 8?\nAnswer: -1633\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8884679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-30)\/18 - 4\/(-6). Let p be (1\/2*0)\/u. Suppose p = 4*t + t - 105. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -169, 0, 4, 3, -3, -7, 8 in descending order.\nAnswer: 8, 4, 3, 0, -3, -7, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**(-27)*d\/d**(-7)*d assuming d is positive.\nAnswer: d**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -3\/5, 0.03, -3841, 138\/11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73324?\nAnswer: 2, 23, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 36922*0.1\nAnswer: 3692.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8 + -4 - 2 - -2. Suppose -5*i = 4*r - 64, -2*r + v*i = -i - 2. Calculate the remainder when r is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-nine fifths of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 220 - -39. Let s = g + -178. Let y = 99.3 - s. Round y to zero decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.3 - 6.3. Let n = 12 - 12. What is the closest to n in 2, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1635723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*w = 29*w + 68508. Is w a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 60 + -57. Let w(x) = 72 - 79 + x + b*x**2 - 8*x + 2*x. Let s(r) = -r - 1. Give -5*s(c) + w(c).\nAnswer: 3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4585 and 11777555?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-2 + sqrt(1573) + sqrt(1573))*2)**2 + (sqrt(2496) - sqrt(39))\/sqrt(3) + sqrt(13) + 3*sqrt(13)*-4.\nAnswer: -12676*sqrt(13) + 906624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 14*k**2 - 77*k. Let d(m) = 82*m**2. What is w(d(z))?\nAnswer: 94136*z**4 - 6314*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/14 - 8\/(-28). Suppose 0 = 2*l - 0*l + 4*z, 2*l + 3*z - k = 0. Solve 0 = -3*c + 2*c - l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23961603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 + -12. Let k(w) = 4*w - 4. Let j be k(x). What is the greatest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23772 - -46810. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 115*i**2*n**2 - 9393*i*n**2 - 2*i - 2370820*n**2 + 3 wrt i?\nAnswer: 230*i*n**2 - 9393*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -9  (c) 3.6  (d) 0  (e) 10  (f) 1  (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6667*g**3*l**2 + 206*g**3*l + 10516*g**2*l**5 - 24141*g*l wrt l?\nAnswer: 13334*g**3 + 210320*g**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 41602 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*i + 14 = -64 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-3) - 202\/6. Find the common denominator of -1 + j\/8 + -2 and 18\/(-2)*3\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -56*k*m**3 - 174*m**3 wrt k?\nAnswer: -56*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 11:40 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 35 + -50. Calculate the common denominator of (-4)\/2 + 59\/10 and (-49)\/5*g\/18.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2051524973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -23*o - 5. Determine c(-3).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 438\/11 - (-214)\/1177. Let k(d) = -d**3 - 5*d**2 - d - 5. Let a be k(-5). Suppose a = 6*w - 4*w - 48. What is the greatest common divisor of w and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18.76893789 rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -106, -165, -262, -397?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1091 - 362?\nAnswer: 92b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 8*b + 48 = 0. Which is smaller: b or -49\/3?\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4543224 (base 9) to base 6.\nAnswer: -124300504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 1199\/66)\/(2260\/120 - 19).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 52 + -31. Calculate the smallest common multiple of 3 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11618 is divided by 725?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*o - 102*o - 56*o)*(-86 - 304 - 53) to the form h*o + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 107*a**3 - 55 + 55.\nAnswer: 107*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3*((-1)\/(-10) + (-4470)\/(-300)) and 141.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 8, 26, 60, 116, 200, 318, 476?\n\"Answer: o**3 + 2*o**2 + 5*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 + 8*u - 5. Let p(j) = j**3 + 4*j**2 + 4*j + 10. Let w = 95 - 98. Let s be p(w). What is i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93 + 2*y**2 - 8*y + 9*y - 152.\nAnswer: 2*y**2 + y - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 less than 8.8253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 - 4*o**2 - 7*o + 16. Calculate y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 1\/4  (c) -0.1106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 0.2, 57, 0.5, 1.\nAnswer: 0.1, 0.2, 0.5, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t**5 - 315*t**4 + 23094*t**3 + 1662342*t**2 - 81143091*t - 82782027 = 0. Calculate t.\nAnswer: -103, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 19. What is the second smallest value in 0.2, -2\/3, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 403333132 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26550 (base 7) to base 16.\nAnswer: -1be4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18680117?\nAnswer: 23, 812179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-573)\/(-27) - (-2)\/(-9). Let u be (-288)\/21 + (-6)\/h. Is (-4)\/u + (-290)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 37.060906 to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1504066 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the second derivative of 1\/78*k**4 - 1\/39*k**3 + 144*k + 0*k**2 + 0. Determine h so that m(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14859 = 602*i - 759*i - 986*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39998*c = -41145*c - 24087 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 64265757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 27 - 43. Let k = t + 35. Suppose -k + 139 = 4*o. Is 31 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3248215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -170*a**2 - 3*a**3 + 171*a**2 + 5 - a + 2*a**3 to m*a**3 + d*a**2 + k*a + l and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 - 59*d + 849. Let r be j(34). Which is the closest to r?  (a) 3\/14  (b) 26  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32.7, -17, 4, -5, 2\/3, 0.3, 7 in ascending order.\nAnswer: -32.7, -17, -5, 0.3, 2\/3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8033 - 7907. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17461289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 4*z - 4 = 0. Suppose 12*g + 248 = 4*a + 15*g, 5*a + g = 321. Suppose 7*l + 6*l = a. Solve -l + z = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/(m\/m**1)*m**(1\/20) assuming m is positive.\nAnswer: m**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88 is divided by 81?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 14465408123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-112)\/7*(-6)\/((-3)\/(-1)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of -h**8\/56 + h**5\/10 - 17*h**2. Find the third derivative of i(l) wrt l.\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 0*h + 12 = -2*h, 4*w - 4*h - 12 = 0. Suppose 0 = -w*s - 0*s - 6. What is the units digit of (((-8)\/(-2))\/(-1))\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*f - f + 15*f - 8*f - 10*f.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 5*r + 386 = 2*s, s - 5*r = 187. Suppose -4*l = -4*j + s, 0 = -4*j + j - 3*l + 114. Suppose 3*w + 1 = j. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 797 - -1340. Let z = g + -672. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from hhhhhhhhhvhhvhhhhhhh?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -7117 - 2*v**2 + 7117. Let a(h) be the second derivative of 0*h**2 + 7\/6*h**3 + 0 - 2*h. Determine j(a(q)).\nAnswer: -98*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of -5\/6*p**3 + 5\/4*p**4 + 0 + 11*p - 5*p**2 - 1\/6*p**6 + 1\/4*p**5. Factor m(s).\nAnswer: -5*(s - 2)*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 <= -54270\/12703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**5\/3 + 155*m**4\/3 + 4967*m**3\/3 + 9711*m**2 - 24594*m + 13176 = 0. Calculate m.\nAnswer: -18, -12, 1, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -730\/207293?\nAnswer: -730\/207293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 4, 5\/3, -2\/31, -148 in decreasing order.\nAnswer: 4, 5\/3, -2\/31, -2\/3, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7587512?\nAnswer: 2, 948439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000378573959 rounded to 5 decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 d when three letters picked without replacement from kdddddhdddwdgdhdkodo?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 73 - 142 - 89*t + 50 in the form s + f*t and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1363013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - ((-14)\/10 - (-25)\/5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8497.\nAnswer: 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 + 5. Let b = 12.0000007 + j. What is b rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -99 + 70. Let q = -16 - -12. What is the second smallest value in 1, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47717817?\nAnswer: 3, 7, 79, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 3 + 0)*(6*j**2 + 10 - 10)*(-j - j + 0*j) + (j**2 + 0 + 0)*(j + 2*j + 0*j) as a*j + c + o*j**2 + t*j**3 and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 10:15 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 114161\/9, 3, -3\/4, -0.05, 5 in descending order.\nAnswer: 114161\/9, 5, 3, -0.05, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 + 2238706\nAnswer: 2238705.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.03 + -12.97. Let h = -34 - i. Let n = h + 19. Put 2\/19, -4, n in decreasing order.\nAnswer: 2\/19, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + 8*b**2 - b + 10. Let l be i(8). Suppose 2*f - 6 = -l*d, -5*d + 11 = -8*d + 2*f. Let t be 4\/(-14) - 37\/(-7). Sort d, 2, t in decreasing order.\nAnswer: t, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1400, 808, -194, -1606?\nAnswer: -3428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -9*r**2 - 46852*r + 10412 = 0?\nAnswer: -5206, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 63 and 2141.\nAnswer: 134883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-4 + (1*(-6*(0 + sqrt(50)) - 3*sqrt(800)))**2).\nAnswer: -97176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 104646*t**3*z**2 - 7*t**3 - 10859365*z**2 wrt t.\nAnswer: 313938*t**2*z**2 - 21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 + -18. Let d = 26.7 - f. Which is the biggest value?  (a) -8  (b) 0.5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2 - 2721*t + 2722.\nAnswer: -(t - 1)*(t + 2722)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-6*-2*sqrt(3) - (1 + sqrt(300)))*4)**2.\nAnswer: -64*sqrt(3) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h - 1. Let r be (1 - -1)\/(2\/2). Let k be x(r). Let f be (-1 - 2) + 0 + 5. What is the nearest to 0 in f, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11 and 144986.\nAnswer: -1594846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -4*a + 5. Let z(q) = -12*q + 16. Let c = 81 - 76. Calculate c*z(p) - 16*n(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -1. Let s(a) = a**2 + 3*a + 2. Let n be s(-2). Let v = -1 - n. What is the closest to i in 1, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.853 to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 967 and 24?\nAnswer: 23208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -6, 5, -13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -4*o + 83, 6*o - 2*o - 2*z = 58. Find the first derivative of -o*s + 373 - 734 + 371 wrt s.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 232 greater than or equal to 318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/10, -1360923\/10, -1\/5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/5)\/v)**38\/(v**(-2\/21)\/v**(-3\/5)) assuming v is positive.\nAnswer: v**(-5639\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5*f - 8 = 0. Suppose -9 = -f*a - a. Let b(h) be the third derivative of -h**5\/60 + h**4\/6 - h**3\/3 + h**2. Calculate b(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12\/7, 8, -2, -0.12 in increasing order.\nAnswer: -2, -0.12, 12\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 2*w - 7, -r = r + w + 14. Let y = r - -9. Solve -3*l = -y*f - 1, -2*l = -3*l - 2*f - 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 218 (base 9) in base 10?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53084, -106232, -159380, -212528, -265676?\nAnswer: -318824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5187, -6738, -8289, -9840?\nAnswer: -11391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11724 and 6624.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -122020000222 (base 3) to base 7\nAnswer: -2611241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 22*p. Let f(n) = -27*n**2 - 18*n**2 - 21*n**2 - 20*n**2 + 98*n**2. What is m(f(u))?\nAnswer: 264*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnmnnmnmmnhnmmmmn. Give prob of sequence nhmm.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = -5*q - 230 + 231, 4*q + q - 5 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (i**3 + 7*i**3 - 7*i**3)*(-46 + 173*i + 10 + 36 - 1557*i) to the form w + z*i**3 + v*i**2 + j*i + t*i**4 and give t.\nAnswer: -1384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-4)*(-28)\/(-7). Let v be 0*r\/8 - 0. Solve -z - u + v + 2 = 0, z = 4*u + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*p**3*u**3*x + 6*p**3*u*x**2 + 40*p**3 - 284*p**2*x**2 - p*u**3*x**2 + 2*p*u**3 wrt p?\nAnswer: -18*u**3*x + 36*u*x**2 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/3 - (2 - 608)\/3. Suppose 74*n - 76*n + c = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 657 and 63?\nAnswer: 4599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -765270557 * -0.4.\nAnswer: 306108222.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10\/((-85)\/150 - 2\/(-5)). Suppose w + 4*x + 60 - 8 = 0, 5*w + 385 = 5*x. Let z be j\/(-9)*w\/(-20). What is z rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -3*d - 71. Give r(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-22712)\/(-18) + -4 + 2\/9 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 15*u**3 + 11*u**2 + 54*u + 7. What is the hundreds digit of v(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56 = -39*k + 173 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -613063 - -613112.94192. Let j = -41.9414 + a. Let b = j + -8. What is b rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -977439 >= -977427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 + 10*o**2 + 2*o - 8. Let h be a(10). Let m = h + -7. Suppose -4*i + 25 + 31 = 2*q, m*q + 4*i = 146. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 - 2*s**2 - 2*s. What is the tens digit of h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*(-4)\/162*(-6)\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/644?  (a) -37\/6  (b) 1  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (342\/(-153))\/(56\/(-952))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 79014259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(6\/5)*(s**(-2\/13)*s)\/s)**(-9\/11) assuming s is positive.\nAnswer: s**(-1197\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 17 = 2*c - 5, 4*c - 32 = 5*q. Suppose -c*i + 43 = 2*g + 14, -5*i = 15. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s - s**3 + 1 - 2 - 5*s**2 - 2*s. Let p(i) = -2*i + 1457 + 5*i - 1533. Let r be p(24). Determine b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + -2.03. Let z = j + -4.97. Let p = z + 7. Which is the nearest to -1\/3?  (a) p  (b) -0.5  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6653683 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-12)\/(-3))\/((-4)\/(-6)). Let g = p + -4. Suppose -3*z - g*z = -145. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6, n: 2}. What is prob of sequence ss?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (4 - 17) - 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 552*i - 10489. Give y(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 11*l - 63. Let b be n(6). Suppose -2*s + 124 = 2*s. Suppose 4*q + 4*g = -12, -5*q + 5*g = -2*q - s. Solve -w + 1 = -q*k, -7*w + 14 = 2*k - b*w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 4*n - 3. Suppose -115*l = -84*l + 4774. Let o(c) = -105*c + 77. Calculate l*p(s) - 6*o(s).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 23670, 47338, 71006, 94674, 118342?\n\"Answer: 23668*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 730 + 3146791.7\nAnswer: 3147521.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 154 = -3*u - 55, -575 = -5*a - 3*u. Let j(k) = 4*k + 2. Let c be j(3). What is the highest common divisor of c and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 46*m**2 - 2. Let w be k(-2). Suppose 397*p + w = 404*p. Calculate the least common multiple of 104 and p.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*10\/(-180))\/((-4)\/18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15 + 25522031?\nAnswer: 25522012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 4*r - 17. What is v(9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 + q - 6. Let w be j(-3). Suppose -19 = -3*t + f + 10, -t = -4*f - 17. Solve w*b = 3*b - t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-6))\/(28\/252)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, y: 2, p: 1}. Give prob of picking 1 b and 2 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1304101*a**2*q + 48*a**2*t**2 + a*q*t**2 + 341*a*t**2 - 71*a*t + 11*q*t + 29 wrt a.\nAnswer: -2608202*q + 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*f**2 - 2 + 2*f**3 + 8*f**3 - 6*f**3 + f**3 + 4*f**3 as h*f + w*f**2 + r + t*f**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6264 - 5784 = 48*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000426876 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 24609519 a multiple of 1335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 AM and 7:51 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/558 and 143\/2896074.\nAnswer: 89778294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 9:52 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -171472*n - 190532 + 190532.\nAnswer: -171472*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of 326*c**3 + 402*c + 632. Differentiate x(l) with respect to l.\nAnswer: 1956*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -5*q + 3*t, -q - 3*t - 2 = 3*q. Let j be (2 - 3)*(-12 - q). Solve -f - 19 = 3*u, 5*f - 3*u = -u - j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, 1.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*y - 0*y + g, -4*y = 7*g - 19. Which is greater: -11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 16 + (4*17\/(-204))\/(2\/78). Factor 2\/3*y**s + y**4 - 3*y**5 + 0*y + 0 + 0*y**2.\nAnswer: -y**3*(3*y - 2)*(3*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 5, 8, 13, 20, 29?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/36 or -120\/81877?\nAnswer: -120\/81877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -65036  (b) 1  (c) 0  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/10 - 1081\/(-115)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 74672, 149349, 224026, 298703?\n\"Answer: 74677*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 3*k - 4*f = 32, k - 5*f = 19. Suppose 0 = k*a, 2*j - 5*a = 398 + 864. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4894.165 centimeters in millimeters?\nAnswer: 48941.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.32 - -0.02. Let o = -659.2 - -659. Which is the closest to 2?  (a) o  (b) -2\/15  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -2*t**2 - 182*t - 21. Determine n(-91).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l - 2. Let y(r) = 2*r**2 - 8*r - 18. Let k be y(6). Let a be 9 - ((k - 2) + -2) - -3. Suppose 0 = 3*h, 3*b - h = -2*b - a. What is v(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((sqrt(2299) + 0 - sqrt(2299)) + 1 - (sqrt(2299) + -5*(sqrt(2299) + -1 + sqrt(2299)))) + -2)**2.\nAnswer: -1188*sqrt(19) + 186255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w - 4. Let p be z(8). Suppose a - 29 = -5*g, -2*a = -0*g + p*g - 22. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 51*z - 46*z - 6 = 0, -5*o + 26 = 3*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211000220100202211 - 12?\nAnswer: 211000220100202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12444, -24887, -37330, -49773, -62216?\nAnswer: -74659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -106870 divided by 7311?\nAnswer: -106870\/7311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 152333 = -4*y - 496426, -10 = 2*y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 48 + -46. Let r = -4 - o. What are the prime factors of ((-213)\/6 + r)\/(1\/(-2))?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 348.4736ml in litres?\nAnswer: 0.3484736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q*q**(-6)\/q*q\/(q*(q*q**(-33))\/q))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40292*i - 22500*i - 17886*i.\nAnswer: -94*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1272839 + -22085\nAnswer: -1294924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 563549983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/3376?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 15*f - 102. Let w(n) = -4*n + 1. Let l(j) = d(j) - 3*w(j). Calculate the remainder when 10 is divided by l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-54)\/(-36))\/((-28)\/8)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -798457.9051 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-2*sqrt(3))**2 + -4) - (-3*sqrt(9)*2)\/sqrt(3).\nAnswer: 6*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -20*x**2 + 2795*x - 2085 = 0?\nAnswer: 3\/4, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*k + 24*k - 1326. What is the closest to 0 in -2\/3, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -37, -39, -41, -43, -45?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -2*s - 4*v + 7438, -5*v - 15 = 0. Let d = 29845\/8 - s. Let i = 1872\/7 + -263. Calculate the common denominator of d and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m**5 + 3*m**5 - m**5 + (17*m**2 - 13*m**2 + 8*m**2)*(1 + 0 - m**3 - 3) + 6*m**5 + 6*m**5 + 13*m**4 - 5*m**5.\nAnswer: -4*m**5 + 13*m**4 - 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22 + -20. Suppose -r*q = -5*m + 16 + 48, 4*m - 5*q = 41. Calculate the remainder when m is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84) + (sqrt(84) + (sqrt(84) - -3*sqrt(84)))*-6 - 2*((sqrt(84)*-2 - sqrt(84) - sqrt(84)) + sqrt(84)))\/((1*sqrt(432))\/(2*1*sqrt(4))).\nAnswer: -46*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*(4\/(-14))\/((-39)\/(-91)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48 is divided by -7 + 33 + -3 + 1 + 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 2*q**2 - 2*q. Let d(z) = z**2 + z. Let a = -5 - -3. Suppose -3*k + 3 = 6. Give a*d(h) + k*o(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-93)\/62*((-288)\/(-729))\/8\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8a + -4?\nAnswer: -8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4328064815 to 5 decimal places.\nAnswer: -0.43281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.2 + -0.9. What is the third biggest value in -1\/2, -5\/2, l?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7072.8 to the nearest one hundred.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + 80 + 435. Suppose b = g + 80. Suppose 4*p + 55 = -2*y + b, -5*y - 54 = -p. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -54.384 - -50.5. Let r = p - 0.116. Which is bigger: r or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 291*b*g**2 + 342*b wrt g.\nAnswer: 582*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 16*r**2 + 12*r - 31. Suppose 22*g - 80 = 6*g. Is o(g) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 13\/6 + 249\/(-166). What is the closest to -0.2 in 3, -5, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(34)\/(sqrt(14)\/sqrt(112) - sqrt(2)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 155, 221, 291, 365, 443, 525?\n\"Answer: 2*h**2 + 60*h + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 + 12*c + 13. Let r be p(-11). Let z(h) = 2*h + 21*h**2 - r*h - 19*h**2. Let l(j) = 2*j**2. Determine l(z(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(((a*a**1)\/a)\/a))\/a**2)**39)**(18\/7) assuming a is positive.\nAnswer: a**(-702\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -18*k**3 - 3*k**2 - k. Is s(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 504, 1995, 4478, 7953, 12420, 17879?\nAnswer: 24330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 94\/18 + 12\/(-54). Let a = 0 + 4. Suppose m = -3*b - 2*m + 84, 0 = 5*b + a*m - 144. Solve b = 4*f - 3*v, 2 = -l*f - v + 23 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*i - 139 + 139)*(3*i - i + i)*(-177 - 10 - 136) to k + l*i + c*i**2 and give c.\nAnswer: 5814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 + 53*l + 463. Let w be i(-11). What is the smallest value in -1, -3\/5, 3\/7, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 4*i**2. Let y(g) = -4*g - 4. Let m(u) = 3*u + 4. Let r(p) = 6*m(p) + 5*y(p). Let n(f) = -4*f + 9. Let l(s) = -4*n(s) + 9*r(s). What is v(l(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v - 5*c + 24 - 2, 3*v + 10 = -c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of 7*o**4\/6 - 13*o**2\/2 - 2*o. What is the first derivative of w(f) wrt f?\nAnswer: 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 346, 1376, 3090, 5488, 8570, 12336, 16786?\nAnswer: 21920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 42\/5 of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 103 (base 7) to base 5\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8 times -29?\nAnswer: -23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1291 divided by -384.\nAnswer: 1291\/384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*s - 4*s + 13*s. Let l(v) be the third derivative of 0 + 4*v**2 - 1\/660*v**6 + 0*v**4 - 1\/330*v**5 + 0*v + s*v**3. Let l(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51 divided by 1979947.\nAnswer: 51\/1979947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -4. Suppose -7 = -g - x. What is the greatest common divisor of g and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1370 - 1381. Let h(m) = -3. Let n(o) = o - 5. Calculate y*h(u) + 6*n(u).\nAnswer: 6*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 228152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 3)*((2 - m - 2)*(-5*m**2 + 4*m**2 + 0*m**2) + 3*m**2 + m**3 - 3*m**2).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -57502*u*z**2 + 464*u*z - 100*u - 2*z**2 + 7*z wrt z.\nAnswer: -115004*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0342*-0.1.\nAnswer: -0.00342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28496 + 4128 = 8*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4\/5, -2\/7, 1 in decreasing order.\nAnswer: 1, -2\/7, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sssx when four letters picked without replacement from {x: 2, s: 14, n: 1}?\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -6. Suppose 4*i = 12*v - 14*v + 2896, -4*i + 2880 = -2*v. Suppose 2*y - 5*h - 302 = 0, -5*y - 2*h + i = c*h. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 16*y - 9. Let k be u(13). Let x = k + -42. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 + -3)\/(1\/(-2)). Let d = l - 3. Suppose -3*q + q = 0. Solve -t - d*k = 7, q*t + 4*t - 2*k = -6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 360 a factor of 8938761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 3*z. What is the first derivative of -2 - 1 + z*h**3 - h**3 wrt h?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of h**3\/3 + h. Let w(z) = -8*z. Determine w(j(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -4973 + 1857. Calculate the highest common factor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -5*k - 46. Let s be 3\/((k\/(-8))\/(-1))*-110. Calculate the highest common factor of s and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -7*q**3 - 6*q**2 - 17. What is the thousands digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 108*l**3 - 124240*l**2 + 134*l - 134804.\nAnswer: 648*l - 248480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -t + f - 34, 3*t = 2*f - 8. Let l(j) = -9*j + 2. Determine l(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 195076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 + -d5e49b?\nAnswer: -d5e495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 1. Let n = -29 - -35. Let g = n - 18. Which is the closest to z?  (a) -0.5  (b) g  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3484933?\nAnswer: 1277, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 - 16*j + 6. Let r be t(-16). Calculate the highest common factor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 276 = 3*w - 3*o, -o - 105 = -3*w + 173. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k\/k**8))\/(k*k*((k*k**(4\/9))\/k)\/k) assuming k is positive.\nAnswer: k**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 4 - 5 - 6*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of -11*p**4\/48 - 7*p**3\/6 - 3*p**2\/2 + 20*p + 7. Let s(a) be the first derivative of o(a). Factor s(r).\nAnswer: -(r + 2)*(11*r + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p + 3. Suppose -163 = 2*r - 169. Suppose -7*w + 5*g = -r*w - 40, 5*w + g = 21. Let v(y) = 6*y + 8. Determine w*v(f) - 14*o(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86 = 13*s + 158 + 162 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f**2 - 15*f - 4*f**2 - 2*f - 4*f**2.\nAnswer: -8*f**2 - 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12137140441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34 - -69. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 11:32 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + m = 0, -3*t - 2*m + 1 + 4 = 0. Let g = 1 - -4. What is the closest to t in g, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*i**2 + 1823*i*t**2 - 3608*i + 316*t**2 - 93480*t with respect to i.\nAnswer: -4*i + 1823*t**2 - 3608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/13 - (-6886)\/(-143). Let c = r + 67. Calculate the remainder when 37 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.5018702 grams?\nAnswer: 501870.2","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/2 + (-5)\/(-5). Suppose -2*f = -b*f - p + 10, -p = 4*f - 18. Suppose -2*z + 4 = -z. What is the remainder when f is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l + 8. Suppose -3*j + 5 = -2*p, 0 = -0*p - 5*p - j - 21. Let r be g(p). Suppose r*n = -a + 31, 0*a = 2*a - 3*n - 62. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 373736 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/229614 and 43\/131208.\nAnswer: 918456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*v = 39 - 13. Solve v*w + 3*w = -n + 20, 2*n + 20 = 5*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 - 10*c**2 - 2*c - 12. Let g(v) = 2*v**3 + 8*v**2 + v + 11. What is -5*g(x) - 4*z(x)?\nAnswer: -6*x**3 + 3*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.07154 + 30.5.\nAnswer: 30.57154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*k + 364 - 412 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170 = 5*l + 3*m, 2698837*m - 2698836*m = 0 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -21917 times -0.08\nAnswer: 1753.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100111100001 + 1010101011111110?\nAnswer: 1010000100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2597*j**4\/2 - 8855*j**3\/4 + 933*j**2 + 9*j = 0?\nAnswer: -1\/106, 0, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23763 is divided by 316.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2587?\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 150*b - 2. Let o be r(1). Suppose z + o = 2*z. Is z a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32 - 21. Suppose 0 = -3*x + 2*g - 1, 3*x + 6 = x - 4*g. Let s = o + x. What is the highest common factor of 80 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000413581338 rounded to 7 dps?\nAnswer: -0.0004136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 725 = -25*b - 5*j, -4*b + 237*j - 135 = 234*j for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (32\/(-6))\/((-4)\/6). Suppose -5*w - 2*o - 17 = -0*o, -4*w = -4*o + a. What is w rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - 1 - -54 - (35 + -18)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 165134 = 5*v, 0 = 4*v + a - 30253 - 101852. List the prime factors of v.\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/9, -4, 0.01, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 209317325 divided by -5980495\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 q when four letters picked without replacement from jvvjvjjvvvjqvvvq?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000074 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 319 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2180 = 8*v + 1524. Let h = v - -727. Let d = 544 - h. Does 35 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13348585 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*g - 11*g - 9288. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**2. Let b(z) = -3241064*z + 4. What is b(q(c))?\nAnswer: -6482128*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -54 + 54.3. What is the nearest to 0.5 in g, -1, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fgs when three letters picked without replacement from {f: 1, x: 1, t: 1, g: 2, s: 2, v: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/17?  (a) 3  (b) -3  (c) -9  (d) 1\/59  (e) -2\/9  (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 13 - 5 = 0. Calculate the highest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3900947 and 9311938.\nAnswer: 288670078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (-7 - -11 - 10) - -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 + 7*i**2 + 7*i + 17. Let x be t(8). Calculate the highest common divisor of 15 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 47*j = -20*j + 936 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13 - (5 - 4)) + -20 + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -57?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-1)*-1 - 8. Let x(j) = -j**2 - 6*j. Let k be x(o). Suppose -5*c + 5 + 10 = v, 0 = 5*v + 5*c - 15. Solve v = -k*n - 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 - 8*s**2)*(-8 + 4*s + 40 - 21) to the form p*s**2 + a*s**3 + m*s + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 885819336?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 32*h**2 - 40*h. What is d(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 486 divided by 6\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -75\/22 and (-125)\/21 + (-6)\/(-21)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3570006773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6317 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*c + 17962*c**3 - 1 - 9017*c**3 - 9018*c**3 + 0*c as z*c + g + i*c**3 + j*c**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 965031 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 3*(-1 - 0)*(-246)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -64*c*k*y**2 + c*k*y - 2080*c*y**2 - 2*c*y - 4*c - 13*k*y**2 - 3*k - 2*y + 2 with respect to k.\nAnswer: -64*c*y**2 + c*y - 13*y**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + 4*s**2 + 5*s + 1. Let b be m(5). Let f = 571 - 569. Let v be (2*-1)\/((-2)\/(-5)). Put f, 5, b, v in descending order.\nAnswer: 5, f, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and (-15)\/((4\/(-18))\/2).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4120 (base 5) to base 13.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22907?\nAnswer: 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and 70.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 2, -3\/7, -2.\nAnswer: -2, -3\/7, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 50485 - 2a?\nAnswer: 50456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109971348.\nAnswer: 2, 3, 41, 83, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (2 + sqrt(832) + -3 - (sqrt(832) - (-2 + sqrt(832)*2)))**2.\nAnswer: -96*sqrt(13) + 3334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + -1 - 2\/6. Let f = 117767 + -471067\/4. Which is the second smallest value?  (a) 4  (b) f  (c) i  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-11)\/((-66)\/(-12)) + 6. Suppose -h*q + 11*q = 9233. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -26106 - 440?\nAnswer: -26546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-3)\/7)\/(188\/329))\/((-2)\/56).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -201*r + 38. Let h be j(5). Let v = h - -21267\/22. Which is greater: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000096355 to 6 decimal places.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1471118 to the power of 1\/2, to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l**3 - 3*l**2 + 3*l. Let p be u(-3). Calculate the remainder when (1 - p)\/(3\/(-9)) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 33924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*p**5 - 156*p**3*q**2 + 55*p*q**2 - p - 2*q**2 wrt p.\nAnswer: -60*p**3 - 936*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11734557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -345 or -5?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4\/13  (b) 0.1  (c) 0.9  (d) -5  (e) -220\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 - 3*b. Let o(l) = -l**2 - 9*l + 40. Let n be o(-12). Give v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 2*o - 282. Let d = 297 + o. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, -4, -5, -15 in decreasing order.\nAnswer: 4, 1, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 169 and 1612?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 269 and 270 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1136 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 43158 + 7?\nAnswer: 43164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -136242 + 2*k + 136242.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18187 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 1:21 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 430331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -a**7\/560 - a**6\/240 + a**5\/40 + a**3\/3 - 2*a**2. Let s(k) be the first derivative of w(k). Find z, given that s(z) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 479 - (24 - 22)\/((-4)\/14) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 85897*r**2 - 85897*r**2 + 13548*r**3 + (-2*r**3 - 4*r**3 + 7*r**3)*(0 + 0 - 1).\nAnswer: 13547*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24062 is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 77 + -74. Suppose -584 = z*m - 2444. Suppose m = 3*x + 2*x. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l + 5. Let g be o(-4). Let t be (2\/(-3))\/g*-3. Find the third derivative of -z**5 + z**t + 0*z**2 + 0*z**2 wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 630?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 + 23*p**2 + 97*p - 70. Let a be o(-16). Let m(l) = 16*l - 2. Let s be m(2). What is the greatest common divisor of s and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 25*u**3 - 19*u**2 - 9. Let n(y) = 24*y**3 - 13*y**2 - 12. Determine -4*g(p) + 3*n(p).\nAnswer: -28*p**3 + 37*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-78*h**2 - 43*h**3 + 78*h**2)*(0*h**2 - 2*h**2 + h**2).\nAnswer: 43*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -125631 (base 8) to base 11\nAnswer: -30006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7268327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28 + 31.8. Let n = d + -0.8. Sort -0.2, -5, n in decreasing order.\nAnswer: n, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10.27 and 2.\nAnswer: 20.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**5 + 11*p**4 + 513*p**3 + 1773*p**2 - 1620*p - 8100 = 0. What is p?\nAnswer: -15, -3, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*d + 25 + 50 = 0. Sort d, -11, 1 in descending order.\nAnswer: 1, d, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/2191 and 1\/93274.\nAnswer: 652918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.013254529951 rounded to 5 dps?\nAnswer: 0.01325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t**2\/2 - 8*t - 147\/2 = 0. Calculate t.\nAnswer: -3, 49\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 8820.0252 microseconds?\nAnswer: 0.000002450007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 261525 = 5*n, 2*y + 15*n - 16*n = 104607. Is y a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-60)*(-10)\/12.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 - (-1 - 2)\/(-3). Suppose g = -p + 2*p. Let h(v) = v**3 + v**2 + 7. Determine h(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 6. Solve 4*a + y = -9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 709676.6 decades to millennia.\nAnswer: 7096.766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of m**7\/2520 - m**6\/180 + m**5\/40 + m**4\/6 + 4*m**2. Let s(a) be the second derivative of l(a). What is s(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-2\/7)*a*a)**(-4\/3)\/(a*a\/(a**(-2\/9)*a)*a)**(-10) assuming a is positive.\nAnswer: a**(1172\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = -7*s + 16 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 0) + 0 + -5 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (92*q + 281*q + 28*q)*(-q + q + q).\nAnswer: 401*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 18 = -0. Suppose g + v = y, -y - 4*g = 2*y - 20. Suppose 0 = 55*m - 54*m. Solve m + y = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -7*f**2 + f - 9. Let x(r) = 3*r**2 + 5. Suppose y + 0*y = 5. Let n(w) = y*x(w) + 2*d(w). Is n(-7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3152)\/985*(-20)\/8. Let n(q) = q**3 + 5*q**2 - 5. Suppose 16 = -5*m + m. Let t be n(m). Which is smaller: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.6338825 rounded to 3 dps?\nAnswer: -2.634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -5443*g - 364666. What is q(-67)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 98\/(-28) + (-1)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-177 + 184)*24\/(-28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - d**2 - 2 + (-5 + 5 + 3*d)*(5*d + d - 4*d) + 2*d**2 - 3*d + 3*d + (-1 + 4 - 4)*(-d**2 - 2*d**2 + 4*d**2) - 1 + 1 + 2*d**2 + 0*d**2 + 3*d**2 - 2*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/3*h + 0 + 2\/3*h**2 + 4\/3*h**3 - 2\/3*h**4.\nAnswer: -2*h*(h - 2)*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(325)*-1 + -5 - (sqrt(325) + (-2 + sqrt(325))*1).\nAnswer: -15*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8764.\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 16\/4 + 1 + -1. Suppose -12 = -5*y + 3*q, -y + 0*y = -q - a. Solve 3*z - 3*d = 0, z + 5*d + 8 + 16 = y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 + -24. Which is the third biggest value?  (a) 3\/2  (b) d  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 4*h**3 + 2*h**2 + 2*h + 1. Let u(n) = -20*n**3 - 11*n**2 - 11*n - 5. Determine -22*a(x) - 4*u(x).\nAnswer: -8*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/(-4)*(-8)\/3. Suppose 4*i - 41 = 27. Suppose -i + t = -k. Solve 4*f - 1 = -k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -39\/14?\nAnswer: -39\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 5, u: 2, t: 2}. Give prob of picking 2 t and 2 q.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/33 and 23\/495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 3*m**3 + m**2 + m - 1. Calculate l(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + 1\/2)*88. Let a = 97 + t. Suppose -w + 5*z = -6*w + 205, -w = 4*z - a. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 + 14*b**2 - 14*b + 20. Let t be y(-15). Let u be 3*(-9)\/(-3) - t. Solve -1 = 5*s + u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 288645 is divided by 793.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.4443 and 1?\nAnswer: 0.5557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10052004 + -502?\nAnswer: 10051302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2\/21 + 52\/105. Let w = 0.2 + -0.4. Let i = -62.5 - -62. What is the biggest value in c, i, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -1\/4  (c) -0.2  (d) -2\/53  (e) -2\/5  (f) 20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together -34.91 and -92.\nAnswer: -126.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -481234573*w**2 + 4*w + 76583287 wrt w?\nAnswer: -962469146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v - 2098 + 2098. Let l(r) = r**2. Determine z(l(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8369?\nAnswer: 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -128 - -124. Let n be -4 + ((-46)\/(-12))\/(m - -5). Is n equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 212 - -1200?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27\/(54\/3240*36)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -123, -174, -225, -276, -327, -378?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 + 42 = 3*a. Which is smaller: 22 or a?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -34 - -82. Suppose -17 = s - f. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -4*u. Suppose u*d - 4 = d. What is the units digit of d - (0 + -3) - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + 1 - ((6 - -27) + (18 - 22))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(1008) + 0 - sqrt(1008))**2 + sqrt(1008)) - (-1 + sqrt(1008) + sqrt(1008) + -1)**2.\nAnswer: -4036 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -3*k**2\/2 - 46*k - 89. Let o be l(-27). Solve 5*p - 3*v + 4*v + 21 = 0, 0 = -3*p + 5*v - o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 338337 and 3483.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2432710.\nAnswer: 2, 5, 7, 23, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(126)\/sqrt(98) + (sqrt(441) - -1*sqrt(441))\/sqrt(7))\/(3*(sqrt(9) - sqrt(144)) - (sqrt(9)*1*6 + sqrt(9) - sqrt(9))).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (4 + 0)\/(30\/345)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of ((-156)\/(-7))\/((-195)\/(-1820))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 614 + 2?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -6*n + 470. Let g be 0 + 2 + -3 - -1. Let v be s(g). Suppose -5*d + v = 5*o, -2*d - 19 = -5*o + 479. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = 5*x - 12, 246*x - h - 8 = 241*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -20342 + 20332. What is the closest to 0.1 in b, -5, 14\/9, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -77 - -63. Is -17 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2887948997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {h: 1, m: 11, f: 1, u: 1, n: 2}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3676 = 4*p + 260. Which is smaller: p or -983?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9*f**3*t - 43655475*f**3 - 1659552*f**2*t**3 wrt t.\nAnswer: -9*f**3 - 4978656*f**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 7*n**2 + 6*n + 3. Let f be i(-6). Let k be (-1 - -1)\/(f\/(-3)). Suppose k = u - 3*u + 12. Calculate the lowest common multiple of 3 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of 7\/2*l**3 + 0 - 2*l + 0*l**2 - 11\/10*l**5 + 0*l**4. Find the second derivative of d(x) wrt x.\nAnswer: -132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 1. Let g(f) = -f**3 + 3*f**2 + 7*f + 17. Let s be (-7)\/21 - 32\/(-6). What is the remainder when d is divided by g(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -44129, -44063, -43947, -43775, -43541, -43239?\nAnswer: -42863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eyee when four letters picked without replacement from yeyeyemmezy.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3024202 - -2?\nAnswer: 3024204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttw when three letters picked without replacement from {w: 2, t: 17}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 v, 1 a, and 1 b when four letters picked without replacement from {j: 2, b: 2, d: 1, a: 1, v: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 290798744 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 0 - (0 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 23856752 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2\/9 - 132*z + 1186\/9.\nAnswer: 2*(z - 593)*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 41089822049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 - -0.4. Let o be (-8 - 119\/42) + (-2)\/6. Let f = o - -323\/30. What is the third biggest value in 0.1, -0.5, u, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 163*a**4 - 12*a**5 - 8*a**2 - 163*a**4 wrt a.\nAnswer: -720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 20828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -155 + 295. What are the prime factors of d?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxdd when four letters picked without replacement from {f: 11, x: 6, d: 2}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 - 2*x**2 - 2*x + 3. Let u(s) = -s**3 - s**2 + 1. Suppose 0 = 30*f - 45*f + 30. Calculate f*u(j) - r(j).\nAnswer: -3*j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2*a = -2*s + 50, 5*s - 3*a = 55. What are the prime factors of (((-2770)\/s)\/5)\/(2\/(-8))?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -15964 and -15967 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of 128*t**2 + 273\/2*t**4 + 5\/42*t**7 - 21\/4*t**6 + 0*t + 0 + 338\/3*t**3 + 3709\/60*t**5. Solve h(n) = 0.\nAnswer: -2\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (60\/9 - 5)\/(6\/(-94)). Let g = u - -26. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-3) + (-92)\/(-12) + 605\/(-55))*3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 6 + 2 = -2*n, 8 = 2*t - 4*n. Solve 14 = -t*s + b + 5, 4*b + 29 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (954\/(-212))\/(6\/8). Let r(i) be the third derivative of -i**4\/12 + 5*i**3\/6 - 2*i**2. What is r(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 14*n + 249. Let d = 7235 + -7253. Give b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2945957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 + 10*l**2 - 2*l - 2. Let r be w(-10). Suppose 0*g + r = -9*g. Let h = -31\/13 - -24\/13. Is h != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2. Let g(p) = -2*p - 246. What is g(b(x))?\nAnswer: -2*x**2 - 246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13312 by 2.\nAnswer: -6656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-30)*(6\/5)\/1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 3*o + 2*o + 3*o + 2*o. Let z(d) = -4*d. What is 5*b(x) + 12*z(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, -5, -1\/6 in decreasing order.\nAnswer: 1, 0, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -5.8, 2, 2\/7, 4\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1790, -3869, -5948, -8027, -10106?\n\"Answer: -2079*t + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 + 19*g - 28. Is 10 a factor of x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 2:54 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x**2 + 45*x - 258. Give d(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/45*2403\/(-5607).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.2  (b) 107  (c) -4\/3  (d) -1  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 10*n - 47. Let p be (-170)\/(-40) + 2\/(-8). Let f be y(p). Is -5 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54027?\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together 40 and -6.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, z: 3}. What is prob of sequence zw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 2094313736 = 807948471. Let a = b + -7718954527\/30. Let k = a + 25436. Calculate the common denominator of -65\/6 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 PM and 2:42 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132*(-8)\/(48\/(-105))?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -224 + 228. Suppose -1204 = c*q - 3056. What are the prime factors of q?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -222337 (base 10) to base 6\nAnswer: -4433201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 245670 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2329 is divided by 2294.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (10\/35)\/(2\/28). What is the common denominator of 1\/(2*(-6)\/129) - q and -53\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 61932\/7  (c) -3\/50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 11:42 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + 4*y**2 - 3*y - 5. Is 4 a factor of f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 - 20*i - 51. Let o be p(-18). What is the units digit of (-774)\/o + 17\/5 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f + 3. Suppose -2*y = 5*a - 0*y + 13, -a - 6 = -3*y. Let c(b) = -2*b + 7. Let r(t) = a*c(t) + 7*n(t). Let l(o) = 5*o**2. Determine r(l(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1 - -1) + (-3 - 2529)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 5489*n + 125822. What is j(-23)?\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.355 - 0.389. Let d = b + 1.744. What is the nearest to d in -4, -7, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 208.5461 * 0.3.\nAnswer: 62.56383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of -3*w**2\/2 + 3*w + 13. Let s be v(-1). Solve 2*l - 10 + 4 = 2*t, -4*t = 2*l - s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/1719320 and -19\/16.\nAnswer: 3438640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 1 + 1. Suppose l*c - 9 = -c. Suppose -9 = -c*n, 25 + 68 = 3*g - 4*n. Solve 6*z - 2*z - 5*x + 40 = 0, -g = 3*z - 5*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -50\/93 and -145\/134784?\nAnswer: 4178304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 5*h + 3*h + 11, 0 = 3*y - 2*h + 17. Let z be (3\/(-1) - y)\/(-2). Suppose z*i - 33 = -i. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 - 9*l - 7. Let p be n(10). Solve p*v + v - 4*m + 12 = 0, 0 = -m + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3104552 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: Suppose 18*s - 1484 = -10*s. Solve 43 = 2*l + s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/4 + 0 + (-1)\/(-4). Let w = p - 10. Let t(l) = -l**3 - 11*l**2 - 19*l + 12. What is the tens digit of t(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*t, 7*y + 20 = 10*y - t. Solve 4*w + 4*x - y = 0, 8 = w + 3*w - 3*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -4*m**3 - 5*m**2 - 9. What is the tens digit of p(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (-80 - -55 - (-1 - 11))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -16, -7\/13?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 5, 63, -3, 1, -189 in ascending order.\nAnswer: -189, -3, 1, 5, 20, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -27*p - 5 + 3 + 94*p + 72*p in the form k + w*p and give w.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-30)\/3*5\/10. Which is the nearest to -1?  (a) u  (b) -1  (c) 0.3  (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 188843.\nAnswer: 188843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -18780402*y + 11348976.\nAnswer: -18780402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 124194 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 186 + -175. Solve 0 = -6*q + u - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y - 7. Calculate the remainder when q(-13) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -2797?\nAnswer: 1\/2797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 13 = -7. Suppose 3*p = -2*q - 10, 9*p - q = 4*p + i. Suppose p = -2*k + 5*o + 19, o - 17 = -3*k + 3. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 590*w = 249*w + 23188 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 - 170*x - 6041. What is l(-52)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o + 3 - 3)*(-o + o + 2*o**2) - 2*o**2 + 2*o**3 + 2*o**2 + 2*o**3 + 0*o**3 - 5*o**3 + o**3 + 0*o**3 + 11*o**3.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18641 or -18642?\nAnswer: -18642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -3. Let i(z) = z**3 - 7*z**2 - 252*z + 1768. Let x be i(7). Suppose -5*g = 4*k - 22 + 7, -k = 2*g - 3. Solve -k*p + b = -x*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -1. Let j = 7.52 + 1.78. Let t = -9 + j. What is the closest to n in 1\/6, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 4*h. List the prime factors of l(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 17, 13, 11, 17, 37, 77?\n\"Answer: o**3 - 5*o**2 + 4*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8235 and 27.\nAnswer: 8235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 513, 888, 1273, 1668, 2073, 2488?\nAnswer: 2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145*m**3\/3 - 329*m**2\/6 + 1519*m\/3 - 572\/3 = 0. What is m?\nAnswer: -4, 2\/5, 143\/58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together 236852864220 and -3.4.\nAnswer: 236852864216.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -0*v - 0*v. Find the common denominator of 28 and (8 - v - 1)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - 2530?\nAnswer: -2534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-12))\/((-3)\/36). Let l(k) be the third derivative of -k**5\/60 - k**4\/24 - k**3\/6 + k**2 - 132. Let i(d) = 5*d**2 + 4*d + 4. Give q*l(j) + i(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29 - -34. Let m(i) be the second derivative of -1\/80*i**g + 0*i**3 + 0 - 2*i + 0*i**2 - 1\/48*i**4. Determine n, given that m(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 335*d = -5*h + 330*d + 30, -3*h + 9*d - 15 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.07 + 0.23. Let k = -44 + 43.83. What is the second biggest value in k, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -500*t**3 - 458*t**3 - 4 + 4 + 1084*t**3.\nAnswer: 126*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-42)\/(-11) - (-4)\/22. What is the first derivative of -4 + 0 + 2*m - 2 + g wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2396406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 134391785119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1987125215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3636008?\nAnswer: 2, 454501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43 divided by 63.\nAnswer: 43\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 2*o - 166 = 0, 8*o - 28357 = -4*v - 28201 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22 - -32. What is the lowest common multiple of 4 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 105 = -v, -v = -0*i + 3*i - 105. Suppose 4*d = -d + v. Is d a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 14*q**3 + 12*q**2 - q + 5. Let d(m) = 15*m**3 + 10*m**2 - m + 4. Determine 6*d(a) - 5*n(a).\nAnswer: 20*a**3 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 136453 - 136453.00064483. What is u rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -5*v**3 + 6*v + 6. Let z(i) = -14*i**3 + 17*i + 17. Let q(g) = -18*g + 95. Let w be q(12). Let s = 127 + w. Calculate s*z(r) - 17*f(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from txbtxbttttxxxxt. What is prob of sequence bbt?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1734 divided by 443?\nAnswer: 1734\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/12*23\/483*-15.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 PM and 9:28 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 31205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 + -14. Let v be (-3 - 141\/(-45))*w. Suppose -p = 3*p + 8. What is the nearest to -1 in v, -0.5, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1*sqrt(3) + 2 - (sqrt(9)\/sqrt(3) + -4)**2).\nAnswer: -9*sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -230 at most -229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 29\/3 of a hour?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 8*h**2 + 6*h + 4. Let q(t) = -7*t**2 - 5*t - 3. Let p(d) = -4*a(d) - 5*q(d). Let g be 1\/(-3) + 14\/6. Is p(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 + 25?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 846, 11, 1, 0, 78, 19 in increasing order.\nAnswer: 0, 1, 11, 19, 78, 846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 44 = -r, 5*t - 22*r + 912 - 316 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 86 - 86. Suppose k + 5*h - h = -16, t = -2*h - 6. Sort 4, k, -5 in ascending order.\nAnswer: -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -559*o - 9. Let w be n(15). Let s be ((-21)\/4)\/(-7) - w\/8. Suppose s = -3*k + 9*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 136730 and 5085.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/39 and 109\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 330 - 338. Is h greater than -198\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37 - 25. Let d be (4\/(-13))\/(6\/3). Which is the second smallest value?  (a) d  (b) i  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 209\/22*2 - (8 - 0). Solve -u = 80*g - 91*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -800.598 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 + x - 1. Determine o(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.9 - 2.1. Let l be (-304)\/52 - 2\/13. Let q be ((-1)\/11)\/(3\/l). Which is the closest to n?  (a) 1  (b) q  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*k - 2 + 1 + 17*k - 3*k to the form b + g*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-12))\/((-7)\/((-63)\/(-6)))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 divided by 15.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12258 + -12236. Calculate the least common multiple of 2\/(-3) + (-56)\/(-3) and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111010 - 10000000111?\nAnswer: -10001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 353 - 150. Let c(j) = j - 7. Let a be c(5). What is the least common multiple of 11 and a\/(-10) + v\/35?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x + 10. Let s(p) = -3*p. Let i(l) = 17*l + 7. Let q(r) = -i(r) - 6*s(r). Give -5*f(t) - 7*q(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*n + 2*n - 3*n)*(-8 + 0 + 0)*(-6 - 13 - 12) to x*n + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 - 3*d)*(21 + 27 + 4) in the form m + v*d and give v.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-8)\/(-30))\/((-40050)\/(-375)). Let y = o - -176\/801. Which is smaller: y or -199?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -915, -1231, -1953, -3285, -5431, -8595?\nAnswer: -12981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 32 = 13379*n - 13397*n, n + 5*h = 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1466.2 - -2?\nAnswer: 1468.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -266*k**2 + 128*k**2 - 5*k**3 + 5*k**3 - 2*k**3.\nAnswer: -2*k**3 - 138*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 4*i - 23388, 6*u - 9*u - 2*i = -17546. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 91 + -36 - (6 + 3 - -20)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hxiiigil. Give prob of sequence ig.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-141)\/(-20) - 2 - (-29)\/(-116). Which is bigger: 5 or b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*g*h**3 + 177*g*h + 22*h**3 + 55 wrt g.\nAnswer: -3*h**3 + 177*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, 0.1, 0, 2, -1065 in ascending order.\nAnswer: -1065, -5, -3, 0, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 4)*(-p - 2 + 2)*(-3 + 3 + 1)*(-3 - 2 + 4).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 160, 0.2, 1\/2772, -3?\nAnswer: 1\/2772","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 1:21 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 16 and -24539.\nAnswer: -392624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12526 or 12525?\nAnswer: 12526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of -j**2\/2 + 17. Let q(w) = -4*w**2. What is p(q(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -108*(18 - 12)\/(37 + -29).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 2*b = 50. Calculate the lowest common multiple of 15 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + z + 11 = 3*z, 5*z = -4*f + 41. Let v = f + -6. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 3*x - 81 = 2*x, -90*h + 170*h + 3*x + 50 = 81*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/4)\/(12\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -38\/5815695 and -20\/33?\nAnswer: 63972645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.024435 nanoseconds in hours?\nAnswer: 0.0000000000025067875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -22, -4, 5 in descending order.\nAnswer: 5, -1, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 758 + -761. Which is the smallest value?  (a) p  (b) 0.02  (c) -4  (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 79154412 and -48.\nAnswer: 79154364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/(-220) + (-5017)\/15570?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4068)\/(-38646)*2\/(-1)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.05136  (b) 10  (c) -0.109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 62965396231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38955 and 2254245.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1694115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28 + -35. Let x = w + 13. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 7:50 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 423.083 - 423. Round g to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 5*a - 14. Determine b(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((l + l + 0*l)*(-4 + 1 + 4) + 2*l - l + 0*l)*(-4 - 4 + 2)*(-l**2 + 0*l**2 + 3*l**2).\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 171049158405*i**3 + 684189235260*i**2 - 29593360*i + 320.\nAnswer: 5*(i + 4)*(184959*i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1792368 and 4816?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of -5*d**7\/42 + d**6\/6 + d**5\/4 - 5*d**4\/12 + 5*d. What is p in m(p) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 758 + -24245\/32. Let c = -51\/97 + 12563\/1940. Calculate the common denominator of t and c.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 39 = -3*i, 9574*i - 9569*i = -3*n - 2*n - 50 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3 = -7. Let u(p) be the third derivative of p**5\/60 - p**4\/4 + p**3\/2 - 24*p**2 + 9*p. Give u(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/k**(-16)*(k\/(k**(-10)\/k))\/k*k assuming k is positive.\nAnswer: k**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 477.882591 rounded to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (32\/12)\/(2\/3). Find the first derivative of -2*x**4 - 4*x**4 + 4 - 2 + 2*x**r wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12480000 to the nearest 100000.\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 297 a factor of 297297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -92 divided by -63970.\nAnswer: 46\/31985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*w + 68*w + 15808 = -643*w - 523*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 15) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1823*l - 1821*l + d = -0*d + 2, -4*l - d = -6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 190124, 190099, 190062, 190013?\nAnswer: 189952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 10) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, o: 2, k: 1, y: 1, e: 1, w: 1}. Give prob of sequence erw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 47 = -0*g + 3*s, -2*s - 102 = -4*g. Suppose j + g = f - 33, 0 = 4*f + 8. Calculate the smallest common multiple of (j\/24)\/(2\/(-4)) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 34 - -13. Suppose -x = -4*r + 285. Sort r, 4, 3 in decreasing order.\nAnswer: r, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 181\/1470 and 17\/270690?\nAnswer: 1894830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of -7103*p**8\/336 - p**5\/30 - 83*p**3\/2 - 4*p**2 - 310. What is the third derivative of a(y) wrt y?\nAnswer: -426180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*k - 3*k + 3*k + 2*k to the form i + x*k and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 + -6. Suppose -x*s - 11 = -5*a - 7*s, 1 = -s. Suppose 4*q = -v + 21, 0*v - 15 = -a*v. What is the remainder when 11 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.37, -0.01, -4, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -25 - (-832 - -853)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -558698011*n**6 + 2498635*n**2 - n?\nAnswer: -67043761320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l + 368 = 368. Solve -h + 8 - 3 = l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 460 = -463 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -3 - 2. Let l = 1\/99 + -211\/1287. Is k at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 16234 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 313902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -206, 0.3 in ascending order.\nAnswer: -206, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 10705537.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f + 9. Let p = 2334 + -2318. Let w(a) = -4*a**3 - a**2 + a - 2. Let v be w(-2). Suppose p = -4*c - v. Give d(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1123 - -2096. Let k = s + -973.859. Let c = 0.079 + k. Round c to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34583707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -5313 divided by -3\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - 2424?\nAnswer: -2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 70 + -40. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12296\/3 + 4191. Let j = -91 + g. Suppose 5\/6*o**5 + 2\/3 - 11\/6*o**2 + 7\/6*o**4 - 13\/6*o**3 + j*o = 0. Calculate o.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 8) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84861729?\nAnswer: 3, 3143027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 12) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-4)\/(-2)*40\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + u = 14, -13 = -4*f - u + 17. Suppose 18 = 2*n + f. Suppose -n*y - 2*s + 245 = 2*s, 2*y - 3*s = 98. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2*j**5 + 4*j**4 + 8*j**3 + 2*j**2 + 6. Let k(i) = -2*i**5 + 4*i**4 + 7*i**3 + i**2 + 5. Let f(a) = -6*k(a) + 5*s(a). Factor f(b).\nAnswer: 2*b**2*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*t**3 + 3 + t - 2 - 2 + 0 to m*t**2 + w*t**3 + u*t + c and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -14*c**2 - 34*c. Let p(t) = -15*t**2 - 35*t. Let s(f) = -4*d(f) + 3*p(f). What is the second derivative of s(g) wrt g?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3000127 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 6  (b) -144  (c) 1.5  (d) -0.4  (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 7*o - 224. Determine i(61).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 804 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 5*w - 112. Let o be r(15). Let c(q) = -9*q - 260. Let z be c(o). What is the highest common divisor of 657 and z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0416312 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2381*c**2 + 259*c**2 + 1860*c**2 + 270*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1a5c4 + 0?\nAnswer: 1a5c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 106876698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 272295.9 centuries?\nAnswer: 27229.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 + -21. Let r = k + -7.7. Which is the closest to -2?  (a) 5  (b) r  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (169 + 746810\/(-4420))\/((-12)\/(-13))\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w = -5*w. Sort -3, 5, w in decreasing order.\nAnswer: 5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 549, 1102, 1655, 2208, 2761, 3314?\n\"Answer: 553*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -8, 4, 1, 3.\nAnswer: -12, -8, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*m + 2*m - 20 - 3*m + 0*m to the form n + h*m and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 3149 = 3*b + l, 3*b - 9447 = l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*u + 63*u - 203*u - 19494 = 259*u for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*j - 11*j = 4. Calculate the common denominator of j\/(-22) - (9 + (-19650)\/3168) and 47\/21.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19837*a**3*s**3 - 2*a**3 + 25*a**2*s + a*s**2 + 1 wrt s.\nAnswer: -119022*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -314993 != -314994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/2 + (168\/(-70))\/(114\/(-3800)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/27684150 and -17\/10?\nAnswer: 27684150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 204\/40 + -6 + 1. Sort 5, f, 2\/29, 0.4.\nAnswer: 2\/29, f, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o\/o**(-1\/6))\/o*o*o*o*o**3)\/((o*(o\/o**(-1))\/o*o)\/o)**(-1\/24)*((o*o\/(o\/(o*o*(o\/o**(1\/3))\/o)))**37)**(-45) assuming o is positive.\nAnswer: o**(-17731\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.37 - -4.37. What is the fourth smallest value in 0.3, -0.5, r, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 48 + -38. What is the lowest common multiple of (-4)\/(-6) + 468\/27 and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*-91572.83\nAnswer: 183145.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128*f = -13*f + 1955 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 32*d**4 - 64*d**3 + 48*d**2 - 44*d - 8. Let z(i) = -i**4 + 2*i**2 + i + 1. Let v(w) = t(w) + 12*z(w). Determine x so that v(x) = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -99 + 274. Calculate the remainder when 48 is divided by (-1792)\/(-100) + 14\/u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.034 or -1?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*s = 118*s - 640 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 322\/2 + (96\/(-16) - -7). Is l >= 162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -160.0999 - -160. Round d to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y - 30. Let n(i) = 5*i + 70. Let r(z) = -6*n(z) - 14*w(z). Let b(c) = -118*c + 4. Calculate b(r(l)).\nAnswer: 236*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*i + 5*i + 0*i - 10*i - 4*i + 8*i + (-5 + 3 + 0)*(0*i - 5*i + 6*i) + 0*i + 0*i + i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (26 + -46 - (-2 + -7)) + (-2 - -19 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*i - 0. Let b be 11\/i - (-3)\/(-6). Solve 10 = -b*g, 0 = 3*m - 2*g + 4*g - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 + 9*m**2 - 3*m - 13. Let n be j(-9). Let x = n + -7. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9350 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 5*c = -84. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-18)*(-3)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -146, 20240 in decreasing order.\nAnswer: 20240, 3, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 83*h**2*l**3 + 32*h**2*l**2 - h*l**4 - 5*h*l**2 wrt l?\nAnswer: 498*h**2 - 24*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 30064290 to the nearest 100000.\nAnswer: 30100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 579467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2111 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*v**2 + 1010*v - 3384?\nAnswer: -6*v + 1010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -7715 greater than or equal to -7713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -232*w**3 - 1868*w**3 - 37*w**3.\nAnswer: -2137*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c = 12*c - 45. Suppose 2*x - k - 7 = 4, 2*x + 5*k + 7 = 0. Solve x*f = f + c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-13765339)\/5040*-3 - (-1 + 3). Let p = x - 24578\/3. Find the common denominator of 23\/10 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + 1 + 1 + -2. What is the units digit of 5 + -3 + 8 + j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**3 - 28*u**2 + 40*u.\nAnswer: 4*u*(u - 5)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, 203025, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 149 (base 12) to base 9.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express o**3 + 193 + 192 - 358*o**2 - 386 as i*o + g*o**2 + v + x*o**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do -3232 and -3231 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of 3*v**5\/20 - v**4\/12 - v**3\/2 - v**2. Suppose -3*l - 5*m - 31 = 0, -14*m - 18 = -l - 10*m. Is u(l) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16.9 + 2.1. Let m = 42 - d. Let w = m + -22.9. Put w, -0.5, 0.5 in ascending order.\nAnswer: -0.5, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 less than 100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((4\/(-42))\/(((-8)\/2)\/(-12)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b + 4. Let x be v(0). Suppose -4*t + 16 = 4*u, x*u - 8 = -0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2838*c**2 - 11*c + 11. Does 22 divide z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.37  (b) 1  (c) 3.8  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002458 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -330.024 - -330. Which is the closest to 2\/7?  (a) z  (b) -0.1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n**2 - 61530550*n + 189300429165125 = 0. What is n?\nAnswer: 6153055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*g + 45*g = -8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 182 - 95. Suppose -g = -5*h + 48. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -265 divided by 35\nAnswer: -53\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26509 is divided by 8531?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = -3*t - 29. Let v = t + 74. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/32 and 65\/62802764.\nAnswer: 502422112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21 + 114*h**3 + 127*h + 915*h**3 - 33*h**3 - 138*h wrt h.\nAnswer: 5976*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n + 0*n + 4*n)*(-4 + 4 - 3*n**3 + (13 - 13 + 9*n)*(-3*n + 5*n - 3*n)*(2*n - 1 + 1) - 78*n**3 + 32*n**3 + 37*n**3).\nAnswer: -30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3001 (base 4) to base 12.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l + 11. Let o be m(-3). Suppose o*r - 56 = 6*r. Suppose -n - r*n = -240. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1028*g + 1152*g = 3844. Solve w + 3 = -4*p, 0*w = 5*w - 3*p - g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -63*z**2 - 3*z. Let r(y) = -42*y**2 - 2*y. Let q(j) = 8*r(j) - 5*x(j). What is the second derivative of q(n) wrt n?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 4*u - 39 = 0, -7*h + 3*h + 6*h = 2*u + 22 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-3)\/9*-3 + 14.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 653737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7669124?\nAnswer: 2, 1917281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -52b4 - 5b6?\nAnswer: -58aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -81085.4+0.09\nAnswer: -81085.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1550.427 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + -2. Suppose f*k = 3*y - 8 - 4, 5*y + 2*k - 20 = 0. Suppose 4*w - y = 40. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2535 is divided by 72.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 + -12 - 1 - -2) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 75954, 75937, 75920, 75903, 75886?\n\"Answer: -17*k + 75971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -124841, -125180, -125519, -125858, -126197, -126536?\n\"Answer: -339*t - 124502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 2. Let -7*r**3 + 7*r**2 + 3*r**5 - 2*r**3 - r**j = 0. Calculate r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139 - 43 = 4*i. Let b be 270\/i + (-3)\/(-4). What is the highest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -32*i. Let y(g) = 5*g + 30. Determine y(r(z)).\nAnswer: -160*z + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of -103972.74 and -1699.\nAnswer: -105671.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11912150 is divided by 1985358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -163516*g**3 - 326950*g**2 - 163352*g + 82 = 0. What is g?\nAnswer: -1, 41\/81758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 199587497 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 9*a**2 - 4*a - 19. Let c be 45\/60 - 46\/8. Let p(z) = 8*z**2 - 5*z - 18. Let s(v) = c*j(v) + 4*p(v). Differentiate s(b) wrt b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 + -1 - (-9 + 14). Let n(b) = 21*b - 19. Let j(t) = -5*t + 5. Determine g*j(d) - 2*n(d).\nAnswer: 3*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -69*q + 74*q + 32, -29 = -3*h + 5*q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -908 - -907.86. Put -0.1, o, 2, 1.3 in ascending order.\nAnswer: o, -0.1, 1.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 + 2*x**2 + 5*x + 1. Let m be k(4). Let g(r) = -8*r**3 + 3*r. Let u(b) = -3*b**3 + b. What is m*u(n) + 4*g(n)?\nAnswer: n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 713854834*t**3 + 96989946*t**2.\nAnswer: 4283129004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -119 in -2\/9, -4, 0.1, -2\/197, 0.2, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from cccxwyxcgc.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -85\/8 in -3, 0.028, 1\/3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeeeeeeeeeeegeeeee?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 13) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z - 9. Suppose -4*c + 5*d = -6*c + 26, 24 = 4*c + 3*d. Let l be w(c). Let u be 1 + -1 + (-3 - (-6 - l)). Solve -4*s = -u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342786928 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4 = -3*f. Suppose -z + 8*z = 0. Suppose -2\/7*v**3 + 0*v**f + z + 2\/7*v = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000015342 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkyykyyykkyykk. Give prob of picking 1 k and 1 y.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 2325.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2140 - -21399\/10. What is the biggest value in -0.3, n, 0.0344, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1116830853 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -o - 3*k, 299 - 35 = 4*o + k. Is o at least 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.14 and -0.5.\nAnswer: 1.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12359.\nAnswer: 17, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/7))**29)**36 assuming o is positive.\nAnswer: o**(-1044\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 4*r. Suppose 4*n + 90 = 3*l - l, 5*l + 4*n - 155 = r. Calculate the remainder when 112 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -85265, -85266, -85267?\nAnswer: -85268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3\/5 + 216*i**2\/5 - 214*i\/5.\nAnswer: -2*i*(i - 107)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(3*(-4)\/6). Suppose t = -2*u - 4, 3*n - 2*u - 128 = 2*u. Calculate the remainder when n is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -3*a - 2*l - 32, 0 = 4*a + 4*l + 40. Let f be 10\/(-3)*a\/(-5) + 61. Let k = -51 + f. Calculate the highest common factor of k and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22\/9, 1\/3, 27.44, -0.6 in descending order.\nAnswer: 27.44, 22\/9, 1\/3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 259886 and 198?\nAnswer: 2338974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -12126420.\nAnswer: -1212642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -39 - -1 - 1 - ((-27 - -77) + -59)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 - -18. Let n = s - -6. What is the greatest common divisor of n and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 AM and 4:56 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -15973, -62584, -139831, -247714, -386233, -555388, -755179?\n\"Answer: -15318*r**2 - 657*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1037034239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3774 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*((-20)\/(-19) - 1). Let a = 3\/9907 - -59409\/108977. What is the nearest to -2\/3 in a, 1\/6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/24*4\/(-4)*(-18)\/24*-7\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-4\/3)*h*(h\/h**(-5\/4))\/h assuming h is positive.\nAnswer: h**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2331 + 333*l**4 + 2104 - 80*l**4 wrt l?\nAnswer: 1012*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-18)*q*q**(6\/19)*q**37\/(q\/(q**(-2\/9)*q)) assuming q is positive.\nAnswer: q**(3436\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 3 - 4 - 46955*c**2.\nAnswer: -46955*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4131458729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -4*w + 8, -5*w + 3*z + 5 = -5. Let t(d) = 20*d - 98. Let u be t(5). Are w and u non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 299 a factor of 35088896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*a = 46*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x**2 - 26*x + 83. Let p be 19 - (-10)\/5 - (2 + -1). List the prime factors of m(p).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 544 in 1, -5, -0.97?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -143, -249, -341, -413, -459, -473, -449?\n\"Answer: g**3 + g**2 - 116*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.21111123013 to 5 decimal places.\nAnswer: 0.21111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 37441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - 15. Let v = -8 - p. Suppose 4*n = v*n + 4*g + 88, 2*n - 86 = 2*g. Calculate the remainder when n is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6027 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 7) + 5 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1080*c - 1183*c + 10300 = 0. Calculate the remainder when c is divided by 49.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-390)\/(-52) + (-7)\/1. Let v = -2.58 + 4.636. Let t = 0.056 - v. Put c, 2\/9, t, -1\/8 in descending order.\nAnswer: c, 2\/9, -1\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -396 - -398. Let t(u) be the third derivative of -1\/15*u**6 + 0*u + 0*u**5 - u**3 + 0 - 8*u**v + 0*u**4. Differentiate t(p) wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -72432455 - 1?\nAnswer: -72432456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: 0.243 * -5275.4\nAnswer: -1281.9222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 - 15. Suppose -2*y - 2 + 6 = p. Solve y*w + 2*w = 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6 + 4)\/(4\/(-6)). Suppose -11 = -n - 2*m - m, -p*n + 5*m = 23. Which is greater: -6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 0, -4\/7, -48, 5 in increasing order.\nAnswer: -48, -4\/7, -0.2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, l: 1, b: 1, h: 1, p: 4}. Give prob of picking 1 l and 1 h.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97 is divided by 39.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3 and 3 + (-76)\/(-40) - -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -2*m + 6, -2*m - 5*x = -2*x - 5. Solve 7*w - 2*w + 24 = m*h, 2*h - 2*w = 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 3*x**3 + 1. Let s(f) = -5*f**3 - 12*f**2 - 3*f + 5. Let v(j) = -s(j) - 2*t(j). What is v(12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 0, 80.96?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 451961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -2*c**3 - c**2 + 3*c - 3. Suppose -5*y = 5*d - 5, -y = 4*d + 6 - 4. Give r(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -559527 (base 12) to base 11\nAnswer: -8519a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 1  (c) 18  (d) -1\/3  (e) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -328*w = -301*w + 54 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48 is divided by 43?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8*-3*(-16)\/(-24). Let k be -3*t\/(-12) + 7. Let w(m) = m - 4. Give w(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/8 - (-41)\/4. Solve 5*o + n = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-1)*18\/30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in -2\/7, 0, 0.1115?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g**2 - 3. Let t(v) = 2*v**2. Calculate t(k(c)).\nAnswer: 8*c**4 - 24*c**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3401010 (base 5) in base 4?\nAnswer: -32201301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 92906 and 7416.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63706512 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/1344 and -89\/2562?\nAnswer: 81984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -843 - -841. Put 12, 0.5, 0.07, m in increasing order.\nAnswer: m, 0.07, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 2:13 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, s: 1, r: 7, h: 4, o: 2, w: 2}. Give prob of picking 2 w and 1 t.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m - m + m - 11 + 0*m. Let h be c(13). Solve f + h = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 70*s**5 - 30*s**4 - s**3 - 8*s**2 + 74*s - 3.\nAnswer: 4200*s**2 - 720*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 171497 and 2219.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 4*g**2 - 6*g. Let b(u) = u**2 - 3*u + 2. Let r(j) = 2*j - 3. Let a(l) = -3*b(l) - 2*r(l). Let i = -4 + -1. Give i*v(d) - 6*a(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21 + -21.5. Which is the third biggest value?  (a) -2\/3  (b) y  (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**2 - 2*a**5 - 3*a**2)*(-2 + 3 - 3)*(-10 - 5 - 2).\nAnswer: -68*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16789 + 23275. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 6:20 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.3 + 11.3. Let m = y - 7. Let s = m + 0. Which is greater: s or 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10317740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50826879 is divided by 57.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 8) + 23 + 5 + -16\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004489 to five decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 798.7611 kilograms?\nAnswer: 798761100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 minus 110709669375?\nAnswer: -110709669394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/36)\/((-10)\/(-16)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12209 = -5268*d + 20298 + 141337 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 5*g. Let b(d) be the second derivative of 25*d - 1\/6*d**4 + 0*d**3 + 0 + 0*d**2. Determine b(m(q)).\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 2*i - 1)*(-3 + 3 - i**2)*(1 - 3 + 3) in the form s*i + p + a*i**3 + o*i**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 5:15 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s**5 + 512*s**4 + 5882*s**3 + 15076*s**2 + 11424*s + 1728 = 0. Calculate s.\nAnswer: -36, -12, -2, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -28 + 44. Suppose -f = -b - b. Let n be (-29882)\/(-536) - (-2)\/8. What is the greatest common divisor of n and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1008) - ((-1*sqrt(1008))**2 + -2) - (1*sqrt(1008)*3 + sqrt(1008)) - (2*sqrt(567) + -4 + 1*sqrt(567) + 1)**2.\nAnswer: -6118 + 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -5 - 1, 2*f - 4 = -5*z. Solve -i - 5*d = 8, i - z = d + 4*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 4*g - 16 = 0, 20*g + 1 = 19*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1752531, -1752530, -1752529, -1752528, -1752527?\nAnswer: -1752526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88 + 19 + -101 + -2 + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -3*f + 5*g + 49, 4*f + 1 = -5*g. Let q(n) = -2*n**2 + 2*n + 2. Let x(y) = 7*y**2 - 6*y - 1. Let m(s) = -4*q(s) - x(s). Determine m(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 86 + -235. Let r = v - -186. What is the remainder when 91 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -117 + 113. Which is the second smallest value?  (a) t  (b) 22  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1397004749 a multiple of 1209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.01, -3, 0.1, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 19 = -7. Suppose -14 = -d - d. Let l be d\/((-7)\/4) - 1. Which is the nearest to -3?  (a) m  (b) l  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + g + 1)*(-115*g + 132*g - 94*g) + (-2 + 0 + 1)*(0*g**2 + g**2 + g**2) to the form r*g + u + t*g**2 and give t.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7*-2*4\/(-8). Find the second derivative of k*u + 3*u - 15*u + 2*u**2 wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3127 and 424?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72443.\nAnswer: 7, 79, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4051 divided by -4003?\nAnswer: -4051\/4003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24520 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 - q - 1. Let x(u) = 4*u**2 - 1. Let v be x(1). Suppose -5*d + 2 = -3*p - d, p + 8 = 5*d. Let m = v - p. Determine b(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(1\/3)\/j)\/j**4 assuming j is positive.\nAnswer: j**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of -17*z**3\/6 + 7*z**2 + 9*z. Suppose -20 = -4*t - t. Let j(v) = 6*v - 5. Let d = -13 - -24. Determine d*j(l) + t*f(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -817 + 815. Let w(o) = -16*o - 16. Let d(a) = a + 1. Let v(l) = 12*d(l) + w(l). Let q be v(g). Solve q*c + 20 = 5*y + 3*c, -c - 2 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, c: 1, b: 2, l: 4, w: 3}. Give prob of picking 1 y and 1 l.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 15 - 1 = 2*w, -2*d + 8 = 4*w. What is the lowest common multiple of 13 and w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000025702378 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 108059 and 257915.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -1324?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 - 6*n**2 - 4*n + 17. Let s be q(-3). Which is the nearest to 1?  (a) s  (b) 6  (c) -3\/7  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 - 21*x**2 + 17. Let j be d(-21). Is 16 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -356*v + 352*v + 8 = 0. Suppose b + 7 = c + c, -v*b - 10 = -2*c. Solve o + 13 = -3*r, -c*o + 14 = -4*r - 0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -1 + 4*b + 1 + 2*b. Let z(x) = -x**2 + 3*x + 3. Let w be z(4). Calculate d(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - 5 - (4 - (-9 + 13))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 1*sqrt(833)*-4)**2*4*-5.\nAnswer: -267060 + 5600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nby when three letters picked without replacement from {n: 5, b: 4, y: 2}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 111433?\nAnswer: 111425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1697 divided by 5.\nAnswer: -1697\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(114)*-1*-6 - sqrt(114)) + (sqrt(114) - 1*(sqrt(114) - (sqrt(114) + sqrt(114) + sqrt(114)*-1))))\/(sqrt(48)\/sqrt(2)*-2)*3*-1)**2.\nAnswer: 1539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - (12 - (9 + -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 60 and 132640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 3*x**2 + 2*x - 2. Let a = 32 + -39. Calculate the remainder when 1*1\/7 + (-76)\/a is divided by s(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -195*o - 33*o - 96*o + 5508 = 0. Put o, 0, -5 in increasing order.\nAnswer: -5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5727 - 5429. Calculate the highest common divisor of 447 and v.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2209409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 equal to -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 79 - -71. What is the highest common factor of 20 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 7 = k, -47 = -5*m + k - 2*k. Suppose 4*f - 3*f - 17 = 3*b, 2*b = -2*f + m. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 231779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ympjmvpg. Give prob of picking 1 y and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (10\/3)\/((-8)\/(-132)). Let d be (1 - -2) + -13*m. Let q = -1511\/2 - d. Find the common denominator of 22 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/22 + 14676\/132.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mt when two letters picked without replacement from {e: 3, v: 5, o: 3, t: 1, m: 1, q: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 105*a + 6236 = -109*a, 4*p - 5*a - 4987 = 0. Calculate the greatest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -9516*r - 9640. Determine a(-1).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 544133.\nAnswer: 544133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 + -8 - -15) + 5 - -2 - (80 + 0)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*d - 15 = 8*d. Let q(i) = 3497936 + 1302064 - d*i + 6*i. Let o be q(0). Round o to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.18739 + -17.18739. Which is smaller: 0.0106 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -192721*v**2 + 26340*v - 900 = 0.\nAnswer: 30\/439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 599401?\nAnswer: 11, 29, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {l: 1, y: 3, x: 2, j: 3, s: 4, n: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + (-22)\/(-4) + 4929\/(-106) + 47.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 19, 9, 16 in ascending order.\nAnswer: 3, 9, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 49875810?\nAnswer: 49875810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of -r**4\/4 + 5*r**3\/9 + r + 4. Factor q(x).\nAnswer: -x*(9*x - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 6 - 2 + (2 - 2 + 2)*(-4 + 4 + 1))*(2*j + 2*j - 3*j) + 0*j - 2*j + 0*j - 3*j + 3 - 3.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3359658?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1073*b**2 + 887*b**2 - 2*b**3 + 32*b - 285*b**2 - 336*b**2.\nAnswer: -2*b**3 + 1339*b**2 + 32*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/388020 and -49\/1846440?\nAnswer: 53546760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*a - 21*a - 17*a)*(-8*a**4 + 11*a**4 + 2 - 10).\nAnswer: -144*a**5 + 384*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -880591, -880589, -880585, -880579, -880571, -880561, -880549?\nAnswer: -880535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > -2\/453367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 270126*y + 5670 = 269991*y for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 6*y + v - 7, y - 4*v = 14. Let r(m) = 5 - 4 - m**2 + y - 2. Calculate r(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -26.7  (b) -5  (c) -1398  (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8261081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 2*p**2 - 3*p - 3. Let u be b(-2). Let t be (-2)\/4*42\/3. Let o = t + u. Solve -z + o*s - 24 = 0, 2*z = -z + s - 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -196, -392, -588?\n\"Answer: -196*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -8062*y**2 + 6024*y**2 + 2 - 1 + 0 in the form c + p*y**2 + k*y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1692192707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*o + 683*o**2 - 687*o**2 - 27*o)*(-2*o - 1 + 1).\nAnswer: 8*o**3 + 34*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qoooqqqqoq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of -22*a**2 - 49\/8*a**4 - 2*a + 0 + 31\/2*a**3. Differentiate u(l) with respect to l.\nAnswer: -147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -17*x - 3. Let t be m(-1). Find the second derivative of -2*r**2 - 2*r**2 - 17*r + 6*r**2 + t*r wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + 34*t**2 - 77*t - 17. Calculate the remainder when j(31) is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 17\/4 or 3?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -4*i - 0*i + 14, 0 = -4*p - 4*i + 16. Suppose -21 - 27 = -p*b. Suppose 51*n + 189 + 198 = 180*n. Calculate the highest common factor of b and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of -g**4\/2 - g**3\/6 + 4*g**2. Let h(t) = -13*t. Let r(w) = 2*h(w) - 3*j(w). Is r(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*j**3 - 16 + 16 + 0*j**3 - 3*j**3 + 2*j**3 + (-4*j + 4*j + 2*j)*(-3*j**2 + j**2 + 0*j**2))*(-5*j**2 + 5*j**2 + j**2).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + 2 + 0 - (0 - 3). Suppose -12*v = -18*v + u. Let y = -1 + -4. Sort y, v, -4 in descending order.\nAnswer: v, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -51 + 47. Solve -3*t = n - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -286018 divided by -252\nAnswer: 143009\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.06?  (a) 34  (b) 1\/4  (c) -1  (d) 0.02  (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - 3. Suppose 2*k + x = -m - 4, -2*k = 5*m + 24. What is the units digit of k - -4 - -5 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9670*p = 9693*p - 391 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 = -4*q + 34. Let z = 1294612 - 1294537. Calculate the least common multiple of z and q.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from {k: 3, l: 4, h: 12, a: 1}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oltyloyn. Give prob of picking 1 l, 1 y, and 2 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*x + 4*x - p - 51, -x + 24 = -4*p. What is the remainder when 189 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -29682738 by 9894246.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/27 and -22\/531.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -60731, -481463, -1623445, -3847301, -7513655, -12983131, -20616353, -30773945?\n\"Answer: -60104*y**3 - y**2 - y - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of 11*r**2\/2 - 52*r + 1207. Suppose 12 = 3*w - w. Is 7 a factor of o(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40.0616 less than 2360551?\nAnswer: 2360510.9384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of 0*g**2 + 0*g**5 + 9\/4*g**4 + 0*g**6 + 0*g**3 - 3 + 8\/7*g**7 + 8*g. What is the third derivative of u(s) wrt s?\nAnswer: 2880*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94 + x - 13*x + 43 + 40.\nAnswer: -12*x - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2489, 186, -13 in descending order.\nAnswer: 2489, 186, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5167091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4339 (base 11) to base 13.\nAnswer: 27b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -16*u - 120. Let y be c(-10). Calculate the highest common divisor of y and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 2*f - 3*f + 1667, 5*z + 6689 = 4*f. Let t be (-1)\/(-5) - (-2 + f\/780). Is 0 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*n = -17*n + 5*k - 16, 4*n = 4*k + 16 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/((((l*l*l*(l\/l**(-24))\/l)\/l)\/l)\/l))\/l)\/l**22*l**(3\/2)*l**(-2\/23) assuming l is positive.\nAnswer: l**(-2051\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 times 0.698?\nAnswer: 26.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -1 + 2*f**2 - f**2 + 2*f + f**2. Suppose -1 = 4*p - 5. Determine o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q**2 - 21*q - 18. Let y be c(19). Let k = -81 + y. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jkkjhukkjjhkujkjujj. What is prob of picking 1 h, 1 k, and 1 u?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -v - 0*v + 3*q + 3, -3*q = 3*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.12, -2\/7, 1\/2, 5.\nAnswer: -2\/7, -0.12, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4854 is divided by 969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12212 (base 3) to base 2.\nAnswer: -10011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 6*j - 96. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 44 in -5.2, -74, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 7*k**2 - 5*k - 5. Let t(w) = -10*w**2 + 8*w + 8. Let x(r) = 8*b(r) + 5*t(r). Let z(h) = -8*h - 15*h - 12*h - 18*h + 56*h. Determine z(x(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -156  (b) -14  (c) 1  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 41159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 4 - 7. Factor x*l**3 + 2*l**2 + 29*l**4 + 35*l**4 - 63*l**4.\nAnswer: l**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.568*0.093439.\nAnswer: 0.053073352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -49*k**3 + 85?\nAnswer: -147*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -5, 55, -0.6, 9, 1\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1391357 at most as big as 1391358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -36*x**3 + 15*x**2 + 52*x - 4. Calculate l(-3).\nAnswer: 947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62766 is divided by 143?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -104, -289, -472, -653?\n\"Answer: n**2 - 188*n + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1829 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6956176 days to hours.\nAnswer: 16.6948224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 314, 524, 724, 914?\n\"Answer: -5*r**2 + 225*r + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o - 38. Let f be a(15). Let r = f - -78. Suppose 0*p - 1520 = -r*p. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 266*t = 2545289 - 2542097 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 7\/(35\/15)*(-88)\/6. Let r = w - -173. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23456.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 5 = -7. Is (2\/g)\/((-3)\/18978) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y + 1980 - 1980 + 5*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 + 4*j**2 - 2*j + 3. Let u be b(3). Let -u*i - i**2 + 5*i**2 - i**2 = 0. What is i?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1209 + 5446. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5769496.\nAnswer: 2, 83, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1107, -1124, -1165, -1242, -1367, -1552, -1809?\nAnswer: -2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2*n = 5*s - 1832, -1477 = -4*s - 3*n. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00034230581 rounded to 6 decimal places?\nAnswer: 0.000342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 10*v**4 + 13*v**2 + v. Let h(y) = -5*y**4 - 6*y**2. Let s(p) = 6*a(p) + 13*h(p). What is the second derivative of s(x) wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 19 = -294. Round u to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 156.324 + -29.194. Let u = i - 127. Which is the biggest value?  (a) 0.3  (b) -2  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**3 + b**3 - 3*b**3)*(3 - 4 - 9).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -5 + 3 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15 + 27. What is the highest common divisor of x and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 4*l + 10 = -14, 5*l = -r - 34 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*a**2 - a**2 - 45*a**2.\nAnswer: -86*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/4 + -3 + (-8)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -7*h**3 + 99*h**2 + 71*h - 20. What is x(15)?\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17 and 4597888.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -111.5 + 111. Let g = -0.86 - -1. Let q = 2.14 - g. What is the biggest value in q, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 258\/1806 + (1\/42)\/(0 - 10\/75)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - n - 15321995, 0*z - 2*n = -3*z - 22983010. What is z rounded to the nearest one hundred thousand?\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2378 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*r + 84 + 72 = 0. Solve 2*l - 3*m = -r, 0 = 5*m - m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of 17*z**6\/30 + 23*z**2\/2 + 2*z - 57. What is the first derivative of c(m) wrt m?\nAnswer: 68*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - 2*p**3 + (4*p**2 - 3*p**2 + 2*p**2)*(-506*p + 255*p - 424*p).\nAnswer: -2027*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.437 + 0.037. Which is the smallest value?  (a) -0.1  (b) 36  (c) i  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -202674, -810568, -1823724, -3242142, -5065822?\nAnswer: -7294764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(47\/(-47)*2\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (22 - 19)*(-10)\/18. What is the closest to 2 in -0.3, z, 0.07, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 532, 1058, 1582, 2104, 2624, 3142, 3658?\nAnswer: 4172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -2*b**4\/9 + 944*b**3\/9 + 4786*b**2\/9 - 2512*b\/3 - 5088 = 0.\nAnswer: -4, 3, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -3. Let b(r) = r**2 + 0*r**2 - 3*r**2 + r**h. Let n(q) = 3*q. Calculate n(b(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = 0.02012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 53523132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 295*w - 29774. Give u(101).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2145484195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000466671 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-10 + (-1000)\/(-175))*7 + -23\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 18457433?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 24709249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 658 + -261. Suppose -2*h - 422 = -2*x, -3*h + m = -11*x + 13*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*m + 10332*l - 10330*l + 13, 0 = 3*m + 7*l - 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -h - 2*z, -2*z + 10 = -4*z. Let j = h - -32. Let a be 6*(1\/2 + 0). Solve a*s - j = -s, -45 = 5*f - 4*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -400971, -400921, -400871, -400821?\nAnswer: -400771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2102012 (base 3) in base 7?\nAnswer: -5063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 2 y when four letters picked without replacement from qqyqqqy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1398 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -5. Suppose 5 = -c, -3*d + 4*d - 25 = 4*c. What is the third biggest value in o, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 63433843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108*x = -27*x - 810. Let i be ((-20)\/(-4))\/x*-34. Suppose -3*r - 6 + 21 = 0. Put i, r, -5 in ascending order.\nAnswer: i, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-9\/5))\/(t\/t**4*t))**(-32) assuming t is positive.\nAnswer: t**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31 + -31. Which is the third smallest value?  (a) 2\/9  (b) -2\/5  (c) t  (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*m**3 - 68*m**3 + 5 + 59*m**3 - 131*m**3 - 162*m**3.\nAnswer: -344*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1178 = c - 4*p, -4*p = -5*c + 4497 + 1377. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 6\/(-7) + 281736\/441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from syvoyvvvstsvvveyt. Give prob of picking 2 v and 2 t.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211001102002120 + -10?\nAnswer: -211001102002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 169346646 less than -326589?\nAnswer: -169673235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1550831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55579074?\nAnswer: 2, 3, 9263179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**9\/(u\/(u*u*u**(9\/5))))\/(u**(-1\/3)\/u*u\/(u*u**(3\/4))*u*u))**(-1\/62) assuming u is positive.\nAnswer: u**(-23\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -151921 and 2.\nAnswer: -303842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 13445 (base 11) to base 10\nAnswer: 19167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -33608.84 + -0.10578957.\nAnswer: -33608.94578957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -8733 divided by -8733?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*i**5 + 2*i**5 + 7*i**5 + (-2*i - 2 + 2)*(-107*i**4 - 17*i**2 + 105*i**4 - 28*i**2).\nAnswer: 8*i**5 + 90*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -23.162 * -7059\nAnswer: 163500.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43534*t**2 - 7611*t + 4?\nAnswer: 87068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/7, 1\/9, -2672?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - -143?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106330872.\nAnswer: 2, 3, 293, 15121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -29*q. Let v(n) = 1373*n**2 - 2*n. Determine s(v(z)).\nAnswer: -39817*z**2 + 58*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.48 times -9283\nAnswer: 4455.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23555.\nAnswer: 5, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**3 - 138*i**2 - 3*i + 994. What is the remainder when 3606 is divided by x(-69)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 7*b**3 + 2 - 3*b**3 - 4 + b to x + t*b**3 + i*b + s*b**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -3*y**2 + 6*y + 5. Let x(o) = -4*o**2 + 6*o + 4. Let i(l) = -3*c(l) + 2*x(l). Let p be i(7). Factor 6*f**2 - 2*f**2 - 6*f - 7*f**2 + p*f**2.\nAnswer: -3*f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/5 + 1)*5. Let o(y) = 3 + 2*y + t*y + y - 6*y. Calculate o(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*d + 292 = 332 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of -2*s**4 + 6*s - 13. What is the first derivative of i(p) wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 33*o**5 - 50*o**4 - 36*o**3 + 8*o**2 = 0. What is o?\nAnswer: -2\/3, 0, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.4 + -0.3. Let r be -4*1\/(-6)*(-2 + 32). Suppose 12*d = 16*d + r. Which is the closest to x?  (a) 3  (b) d  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 201 (base 16) to base 9.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 568 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174301 is divided by 89.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 812 divide 74951363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 + 35*y + 461. Let r be v(-10). What is the closest to r in -0.2, 0.4, -1\/8, 1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of ((-39)\/5)\/((-7)\/35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-2) - 9\/(54\/(-2616)). Suppose 6*d + z - 10945 = 0. What are the prime factors of d?\nAnswer: 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 80 = -0*i. Let j = i + 13. Let c(o) = -5*o - 1. Let l(z) = 4*z + 1 + 13*z + 2 - 3*z. Give j*l(s) - 8*c(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 229 = -2*o + 4*n + 3235, 0 = -3*o + 2*n + 4501. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of a**5\/390 - 2*a**4\/13 + 95*a**3\/39 - 286*a**2 - 2. Factor d(t).\nAnswer: 2*(t - 19)*(t - 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 18. Is o at least 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16484*g**2 - 9052*g**2 - 9809*g**2 + 24 wrt g.\nAnswer: -4754*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 + -6. Let b(q) = 15*q**2 - 11*q - 5. Let p(t) = -29*t**2 + 21*t + 10. Let g(u) = -11*b(u) - 6*p(u). Let l(j) = j**2 - j - 1. Give a*g(w) - 5*l(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-1 + (-4 - -10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 41709.76nm?\nAnswer: 0.004170976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -34*g**2 + 2*g + 4. Let h(i) = 52*i**2 - 2*i - 5. Give 5*h(j) + 7*q(j).\nAnswer: 22*j**2 + 4*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/(-75))\/(72\/(-45)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - 4 - (-11 - -5). List the prime factors of u\/(6\/4 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 9, e: 2}. What is prob of sequence ess?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -v, 4*v - 15*v = 5*g - 24938. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 18572533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (18 + -195)\/((-12)\/16). What is the third derivative of -7*x**3 - 53*x**3 + b*x**6 - 68*x**2 + 60*x**3 wrt x?\nAnswer: 28320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 3531*f + 179998. Give b(-51).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 5682876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -39.1136582 rounded to 3 dps?\nAnswer: -39.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 4*h + 1)*(2 - 1 - 2)*(9*h**3 + 11*h**3 - 30*h**3) to the form i*h**3 + r + t*h + v*h**2 + s*h**4 and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 281325 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 309*x + 2*s + 55 = 296*x, 3*x + 35 = 4*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10105292847.99999894 - -10105293061. Let x = s + -213. Round x to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 11777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -122, -150, -178, -206, -234?\n\"Answer: -28*t - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b**3 + 14*b**3 + 3493*b**2 - 1785*b**2 - 1713*b**2.\nAnswer: 19*b**3 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h**3 - 374*h**2 + 11*h - 4.\nAnswer: -12*h - 748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.4 and -183732394759.\nAnswer: -183732394758.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 101 + -106. Let d = -3 - -3.1. What is the nearest to 1 in 5, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20322 - 1444?\nAnswer: 13323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2561 and 312.\nAnswer: 61464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 13  (b) -1\/7  (c) -1\/67  (d) 2  (e) -0.03  (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 30 - 26 = 0. Solve -g*y = 3*f - 1 - 2, 2*y = 2*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - 5*p - 8. Let g be i(6). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.23589 and 59?\nAnswer: -13.91751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 308417.\nAnswer: 179, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (207\/483)\/((-232)\/203)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/512 and 13\/536?\nAnswer: 34304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2393844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-5*(sqrt(65) - -5*sqrt(65)) + sqrt(65))*5)\/(sqrt(2880)*2*6).\nAnswer: -145*sqrt(13)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aamaaaammmamm. Give prob of picking 2 a.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -61*y + 39*y - 1 + 1 + 31*y. Let a(h) = -22*h. Give p(a(w)).\nAnswer: -198*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5012942282 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of 15\/4*t**4 - 28*t - 15 + 0*t**3 + 0*t**2. Differentiate j(o) wrt o.\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*p**4 + 14454*p**2 - 14453*p**2 - 2*p**3 - 110 - 4*p**3 + 8*p**4 wrt p?\nAnswer: 336*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -63 (base 14) to base 5.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (-11 + -3 + 8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4486c (base 14) to base 9.\nAnswer: 273112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11539367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3895 and 4918401.\nAnswer: 467248095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 5*f - 7 + 12 + 35 = 0, 3*f = -3*c + 18 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*i**2 - i**2 - i**2)*(-3*i - 4*i - 3 + 2) to d*i**3 + n*i + r + g*i**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1206 divided by -7037?\nAnswer: -1206\/7037","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1279, 1055, 831?\n\"Answer: -224*c + 1503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 278 - 158 = 7*x - 2*x. Solve x*i + 52 = 196 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -273*i + 189*i - 21514 = 263*i for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 294, -1\/3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5117045, 5117049, 5117053, 5117057?\n\"Answer: 4*p + 5117041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {w: 6, f: 2, r: 7, b: 1, t: 1, h: 2}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uiiyiyyiiiuiivumui. Give prob of picking 2 y.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2 + 1)*(-14304*l + 6581*l + 4413*l + (4 + 2*l - 4)*(-4 + 3 - 1) + l - 6*l + 3*l) in the form u*l + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1918759984 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: In base 10, what is 5 + -2213951?\nAnswer: -2213946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 - 18*n + 39. Let o be u(-20). Let p be 6 - -1*(-2 + o). Suppose 0*v + 0*v**4 + 0*v**2 - 2\/7*v**5 + 0 + 0*v**p = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*l**3\/4 - 2175*l**2\/4 + 1251*l - 313 = 0. What is l?\nAnswer: -313, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.12 - 5. Let q = -22.7 + 23. Which is greater: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 4*h - h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 less than -0.62?\nAnswer: 22.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -9, -0.1, -5, 3 in ascending order.\nAnswer: -9, -5, -1, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -181\/60 and 137\/16152864.\nAnswer: 80764320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -w**4 - 154961*w**3 - 309919*w**2 - 154959*w = 0. What is w?\nAnswer: -154959, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3830, 7668, 11506, 15344?\nAnswer: 19182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 214654495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2143724171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + 10999?\nAnswer: 10994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -5a0 (base 12) to base 3\nAnswer: -1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -128398800 - 2458?\nAnswer: -128401258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2)*(3 - 2*y**2 - 3) - 2*y**2 - y**2 + 4*y**2 + (-7*y + 6*y + 19*y)*(-3*y + 4*y + 0*y).\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00964813369 rounded to 5 dps?\nAnswer: -0.00965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 33 - -56. Suppose 0*p = -2*p + 3*y + 47, -4*p = -5*y - u. Calculate the remainder when 30 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {i: 13, j: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 33145 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from xhhhhhhjhhsshgssj.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6889?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80264, 160555, 240846, 321137, 401428?\nAnswer: 481719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + 1. Let h = 44 - 22. Suppose -1 = -5*w + 14. Solve -2*b + y = -w*y - h, -c*b + y + 28 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -18  (b) 0  (c) 140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 20 = 5*w. Let q be ((-102)\/w)\/((-9)\/12). Let y = 0 + q. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17 in 14, -2\/7, 0.2, 2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(5\/(15\/(-2))). Suppose 5*g + 10 = -2*m - 3*m, -a*m - 4*g = 11. Is 3 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -404405 (base 9) to base 10\nAnswer: -239441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -22 - 8. Let t(a) = -5*a - 4*a**2 + o + 2*a**2 - 1. Let z(m) = -m**2 - 3*m + 3. Determine 3*t(i) - 5*z(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 43*n - 143. Let p be c(5). Solve 10*z + p = -8*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -96?  (a) -3  (b) -3\/4  (c) -159  (d) 0.4  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2621236820 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1715 and 14455?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + 8. Let m = t + 0. Suppose 146 = 4*r - 50. Solve -3*j = m*o - 27, 5*o + 5*j + 9 = r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00857817899 to 7 dps.\nAnswer: 0.0085782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 1. Suppose -2*z = -6, 17*f = 16*f - z - 2. Let d(t) = 5*t - 3. What is f*m(x) - d(x)?\nAnswer: -5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c - c + 2*c)*(0 + 9 - 19).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, -20 in decreasing order.\nAnswer: 5, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-110)\/120 + 1\/4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/350*373\/4103*88\/6.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24 - -28)*(-2 + 3 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 less than -1.25?\nAnswer: -26.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.05 - 2.95. Suppose -15*r - 5 = 5*n + 10, r + 2 = 0. Which is the nearest to n?  (a) 1\/4  (b) f  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 204780313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 28069667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.9 - -4. Let f = t + -0.2. Which is the closest to -0.1?  (a) 1\/2  (b) -3\/2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -14*o + 199. Suppose 6*d = -0*d + 24. Calculate the least common multiple of o and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 9. Suppose 0 = 2*r - 5*x + 17 + z, -5*r - 3*x = -2. Let p(l) = -2*l - 5*l**2 + 3*l**2 - l - l**3. What is p(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7*(-18)\/21*(-4)\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36) + sqrt(216)\/(sqrt(18)\/sqrt(3)))\/sqrt(12))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1104200 (base 6) to base 3\nAnswer: 2210221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-4)\/t**(-1) assuming t is positive.\nAnswer: t**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40\/6)\/((-10)\/(-15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 154\/42 + (-5)\/3 + 1. Suppose 5*b = z*y + 11 + 8, y = -5*b + 7. Suppose n - f - 98 = 157, 0 = b*n + f - 513. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 + -83 + 86 + -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/(-105)*((-6)\/5)\/((-2)\/5)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011 (base 4) to base 8.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 3*h - 10, 0 = -3*d - 2*d - 4*h + 2. Let a = -257131\/5 - -51427. Factor 8\/5 - a*n**3 + 16\/5*n**d - 4*n.\nAnswer: -4*(n - 2)*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/6)\/(-10*(-9)\/405). Let r be v + 8781\/18 + 3\/18. Calculate the greatest common factor of 194 and r.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 7*x**2 - 7*x + 2. Let b(n) = -n**2 + n - 1. Give 6*b(s) + y(s).\nAnswer: s**2 - s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - w - 9. Suppose w*s = 7*s + 20. Let u = -0.04 + 3.04. What is the biggest value in s, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (sqrt(27) + 3)*6)*3)**2 - (3 + sqrt(1323)*2 + 2).\nAnswer: 4494*sqrt(3) + 10507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-4)*0*6\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1277, 0, -39175 in ascending order.\nAnswer: -39175, -1277, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 9 = 0, 0*d + 14 = x + 2*d. Let n be (-123)\/(-5) - (-8)\/x. Suppose -q - 4 = -n. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 5:43 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, d: 3, i: 2, s: 2, h: 3, l: 1}. What is prob of sequence ss?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**13)\/(f\/(f\/((f*f**(-20\/7)*f*f)\/f))*f*f) assuming f is positive.\nAnswer: f**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/9, -2\/13, -5, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 615996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 - 8*h - 83. Let y be l(-6). Is (3\/((-9)\/(-27519)))\/y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0092?  (a) -5  (b) 1\/5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 136 + -113. Suppose 807 = i - 2*q, -s*i + 4020 = -18*i - 5*q. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -2*p + 28, -2*p = -2*q + 3 - 23. Suppose 2*t = 5*u + 32, -3*u + p*t = 16*t + 14. Calculate the remainder when (-4)\/6 - 2014\/u is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*z - 115 - 37 = -8 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -8334311\nAnswer: -7\/8334311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 122447446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6289\/48 - -131. Let z = u - 11\/48. Sort z, -1\/5, -4 in ascending order.\nAnswer: -4, z, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 355*l - 349*l = -18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b48 (base 14) to base 11.\nAnswer: 3803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5920995 is divided by 1184187.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.1 + -4993630.\nAnswer: -4993631.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1067 + -5?\nAnswer: -1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, d: 1, x: 1, u: 1, c: 1}. What is prob of picking 1 u, 1 x, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 7*b - b + (-7*b + 3*b + 3*b)*(-4 + 5 - 3))*(1 + 3 - 1).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*l**3 + 35758*l**2 - 2*l - 23820 with respect to l.\nAnswer: -6*l**2 + 71516*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 791.7?\nAnswer: 2375.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -333, -1319, -2967, -5283, -8273, -11943, -16299, -21347?\nAnswer: -27093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 179215831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16190 - 17918. Are -1724 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -3*f**2 - 7*f - 5. What is v(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 498 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13890970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -6\/137, 4.1, -1\/71, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-5)\/(-5)*3 - 7)*-1. Sort -12, x, 0.4 in ascending order.\nAnswer: -12, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2. Let r = 5 + -9. Let l = 6 + r. Let u(f) = 9*f**l + 4 - 7*f**2 - 4. Calculate u(s(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1564*k + 1582*k + 288 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 177282 divided by 1407\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {a: 1, r: 2, b: 1, e: 2, v: 1, x: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-6)*g\/(g**(-1\/3)*g)*g**(-4)*(g\/((g\/(g*g*g**(3\/5)))\/g))\/g*g)\/((g\/g**0)**9*(g**0)**(-1\/8)) assuming g is positive.\nAnswer: g**(-226\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 219 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (2 - 3) - (9447 - 9420).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(1\/2)*w**(-8)*w assuming w is positive.\nAnswer: w**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 5 - 0 - (-1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**2 - h**2 - h**4 + h**4 - 2*h**4 + 6*h**4 + (-3*h**2 + 3*h**2 - h**2)*(h**2 - h**2 - h**2) - 1 + 1 + 2*h**4 + 3*h**4 - 33*h**4 - 2*h**2 + 0*h**2.\nAnswer: -23*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/5)\/b)**(-9\/13)\/(b**1\/b*b**(-9)*b) assuming b is positive.\nAnswer: b**(556\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30716878 - 16216878. Round j to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ypmu when four letters picked without replacement from susuyuypms.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 6.16  (c) -2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b - 8. Let q be i(-11). Let m = -166 - -166. Suppose -2 + m = -s. Solve s + 1 = -q*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1881358.\nAnswer: 2, 71, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + -9. Let f be -6*(p\/(-1) - (-7)\/(-3)). Suppose 40 = 4*o - 4*x, 1 = -o - f*x + 2. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.2 minus 19741914?\nAnswer: -19741944.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -491, -15, 4, -5 in decreasing order.\nAnswer: 4, -5, -15, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 53*n**2 + 4*n - 2. Let x be (-1)\/(-2)*(4 - 8). What is the units digit of t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112654235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - 6*t**2 - 37*t - 21. Let g be f(10). Do g and 94\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1683 - -21?\nAnswer: -1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -34\/1155 and 149\/38214750.\nAnswer: 420362250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 2:43 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + -297*-3*4\/(-1356). What is the second smallest value in 0, -0.3, c, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a**2. Let o(v) = -82*v**2 - 156*v. What is o(w(f))?\nAnswer: -738*f**4 - 468*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 5 + -4 + sqrt(12) - (-2 + -6*-1*sqrt(75)))**2.\nAnswer: 56*sqrt(3) + 2353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4807 and 11607157.\nAnswer: 127678727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1269)\/(-1)*(-2073)\/55971?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/1374496 and -89\/20?\nAnswer: 6872480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(7 + (-42)\/3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 25778.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/42 + (-32)\/7 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2*f - 2. Suppose 4*c = -2 + 14. Suppose 10 = -c*k - 2. Let o be b(k). What is the highest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -16*g - 2. List the prime factors of m(-8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -10  (b) 0.4  (c) 2  (d) -236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 45336303 (base 8) to base 2\nAnswer: 100101011011110011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 4 = 2*a + 4*h, a - h = 7. Calculate the greatest common factor of a and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -3*v - 15. Let g(q) = -q**2 + 15*q - 1. Let n be g(10). Let a = 44 - n. Let d be j(a). Solve 3*m - 6*m + 15 = d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (697*o - 98*o + 474*o)*(3*o**3 + 4*o**3 - 4*o**3) to s*o + r + q*o**3 + w*o**4 + d*o**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5044 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 12:29 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 671869 and 2266?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -828, -5708, -18958, -44766, -87320, -150808, -239418, -357338?\nAnswer: -508756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -9  (b) -4.15  (c) -4\/5  (d) -3  (e) 1\/6  (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 212*g + 4788 = -76*g - 111*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 108\/60*(-5)\/(-3). Let f be (-8)\/12 - 14\/(-3). Suppose 4 = -2*a + f*a. Solve p - a = s*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 + 8*j + 1. What is the remainder when 30 is divided by n(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 255780 a multiple of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1326685877?\nAnswer: 11, 53, 2275619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 310 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of v**7\/1680 + v**6\/720 + v**3\/6 + 3*v. Let b(i) be the second derivative of z(i). Let b(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f - 308 = 5*f. Let t be -1 - f\/18 - (-1180)\/36. Calculate the greatest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, 4, 2392, 2 in decreasing order.\nAnswer: 2392, 5, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 46.787 - -2.213. What is the second smallest value in 4, -2, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9252 * 0.01\nAnswer: 92.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98\/(-14)*(189360\/28)\/(-6).\nAnswer: 2, 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8\/(-36) + 32\/(-18). Let z(k) = k**2 + k. Let q(h) = 3*h**2 + 4*h. Let x(a) = b*q(a) + 9*z(a). Give x(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/6*-2 + 0. Let l = -26 - -33. Let g = l + -10. Which is the nearest to -1?  (a) 5  (b) g  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -203849668?\nAnswer: -20384966.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2640643897?\nAnswer: 131, 20157587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 217\nAnswer: -3\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*p + 518 = 0, -4*j + 2*j - 2*p = -526. Let o = j + -158. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (11 - 186\/18)*(3 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1686 - 1426 + 638)*(2 + 0 - 4)*(0 + 0 + 4*v).\nAnswer: 19792*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*b**2 - b**4 + 10*b**2 + 1 - 6*b**4 in the form a*b + p*b**2 + l*b**3 + c*b**4 + h and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pqwf when four letters picked without replacement from {f: 2, e: 1, q: 3, x: 5, w: 1, p: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.5 - 3.5. Suppose 0 = -4*x - 3*y + 132 + 110, -4*x + 230 = -3*y. Let w = -237\/4 + x. Put w, 1\/2, k in decreasing order.\nAnswer: 1\/2, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -q - 10, -3*i + 10 = 2*i - 5*q. Let j = -7 + 1. Let f = 8 + j. Which is greater: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 - 5*b + 48. Determine c(10).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = 2*x + 11, 50*x - 2441 + 2839 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 204 = -c + 397. Suppose c*g - 6 = 199*g. Which is smaller: 3\/64 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 16 = 2*m, 1 = 4*m + 3*r + 8. Suppose -m*t - t = -5*l - 6, -t + 2 = -l. What is the second derivative of -f**2 + 2*f - 3*f + l*f**2 wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 1017345256 to the nearest one hundred thousand.\nAnswer: 1017300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -120203030 - -1021?\nAnswer: -120202004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 95507*x**4 + 20715*x - 1 wrt x?\nAnswer: 1146084*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**4 + s**3 - s. Let t(p) = -20*p**4 + 11*p**4 - 2*p + 3*p**3 - p - 34*p**4 + 27. Let f(w) = 3*q(w) - t(w). Find the first derivative of f(x) wrt x.\nAnswer: 184*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-109 + -1)\/2 - -4. Calculate the remainder when -2 + (-1 - w) + -2 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4191)\/13970*(-25)\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7598, -7615, -7642, -7679?\nAnswer: -7726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200 - 767 = -5*g + m, -m = 3*g - 345. What is the remainder when 122 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jcccjjj. Give prob of sequence jjc.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -9*g - 30. Suppose -14*p - 11*p + 25 = 0. Put 15, g, p in ascending order.\nAnswer: g, p, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3)\/6)\/(2\/(-156)). Let i be k*(6\/2 - 2). Suppose -5*x + 0*x + 2*u + 24 = 0, -5*x - 3*u = -i. Solve 2*w + x = -0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - 1. Let l = 3.2 + w. Let h be (-2)\/8*(-12)\/(-9). Which is the closest to h?  (a) -0.3  (b) -2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113492798 a multiple of 859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*(w\/w**(3\/8))\/w)*w**(2\/13))**(-4) assuming w is positive.\nAnswer: w**(-55\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -15126 - 5909.9\nAnswer: -21035.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 158 - 144. List the prime factors of -1 + 2104\/t + 6\/(-21).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 486783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93651 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1689 - 48\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**5 + 164*g**4 + 14*g**3 - 1160*g**2 + 984*g = 0. What is g?\nAnswer: -3, 0, 1, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3\/(1 - 2))\/(-1). Suppose -70 = -2*u + 3*i, u = -2*u + k*i + 108. Let g = u + -18. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 94743 divided by -10527.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 7 - 46 = 3*g, -4*x = 5*g + 33. Let a be ((-70)\/6)\/((-12)\/(-9)). Let f = g - a. Sort -1, 2, f in descending order.\nAnswer: 2, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**2. Let t = 25 + -49\/2. Let p(x) be the first derivative of 0*x - t*x**2 + 5. Determine p(z(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-18)\/(-4)*2\/(-3). Is (-2219)\/n - 1\/3*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 - 30. Let d(x) be the second derivative of -8*x**3 + 2*x + 10*x**q - x**3 - 2*x**3. Let r(w) = -3*w. Give d(r(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 2 - 22\/(-16)) + 882\/7056.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*q - 38*q + 106*q - 33*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5219 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1480 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14367, 57445, 129233, 229731, 358939, 516857, 703485?\nAnswer: 918823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 2)*-1*(-3)\/(-45)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(396) - ((sqrt(132)\/sqrt(3))**2 + 1))*-4.\nAnswer: -24*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 12*c + 187. Let b be o(0). Is 482239\/b - ((-2)\/11 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 2469.679mm?\nAnswer: 246.9679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-2 + -1)) + 11\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -1*-5*((2 + sqrt(72))*1 - ((0 + sqrt(72) + sqrt(72))**2 + 3)).\nAnswer: -1446 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 17 = 6*t - 7*t, -15 = 2*t - 30*k - 89 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(36)\/(sqrt(1452)*1).\nAnswer: sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -467 - 17?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-50)\/135)\/(21\/(-63))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18?  (a) -0.5  (b) -2\/9  (c) 1\/2145  (d) 1  (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y. Let n(a) = -8*a**2 + 4*a - 5. Let j(g) = 17*g**2 - 8*g + 11. Let u(i) = 6*j(i) + 13*n(i). Let v be 231\/45 + 8\/(-60). What is v*d(t) + u(t)?\nAnswer: -2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -189341, -378727, -568137, -757583, -947077, -1136631, -1326257?\n\"Answer: -2*a**3 - 189372*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 14, 130, 332, 626, 1018, 1514, 2120?\n\"Answer: y**3 + 37*y**2 - 2*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 218 + -200.2. Let g = s - -2.2. Put 2, g, -0.1 in descending order.\nAnswer: g, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -63*l**2 - 286*l**2 + 0*l + 1569 - 1562 + 0*l as p*l + s + w*l**2 and give w.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5994.79398 minutes to weeks.\nAnswer: 0.594721625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-2)\/(48\/(-4))*(-33)\/(-11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 141  (b) -3\/8  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -27, -4, -11, 2 in ascending order.\nAnswer: -27, -11, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -1.5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 172531 and 82029?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*v - 244*v**2 + 888*v**4 - 1120*v**4 + 5*v wrt v.\nAnswer: -5568*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10169\/12 + -846. What is the common denominator of h and ((-122)\/72)\/((-12)\/36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -51 + 59. Suppose -2*o = -o + 1. Let b be 2 - (o - 2*-3). Sort b, -5, p.\nAnswer: -5, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3320323 + 110110?\nAnswer: -3210213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*4\/(-10)*110. Suppose -b = 16*k - 18*k. Let h(y) = -y**3 - 3*y**2 + 3*y. Let q(v) = -4*v**3 - 11*v**2 + 11*v. Calculate k*h(p) - 6*q(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -268*m - 36*m = -35*m - 83*m + 2232 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 9. What is the second derivative of 1 + 1047*q**3 + 2*q**2 - 1047*q**u - 34*q**4 - 3*q wrt q?\nAnswer: -408*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -74*l - 98. What is the lowest common multiple of 168 and t(-7)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3664 divided by -3664?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sghgujjsjsjujgushjhu. Give prob of picking 1 s, 1 h, and 2 g.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(220))\/sqrt(11))\/(sqrt(100)*-4).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 10\/29, -0.1, -5, 2\/11, -3, 683?\nAnswer: 10\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s - 5*s**3 + 9*s**4 - 9*s**4 - 3*s**4 to the form k*s + d*s**2 + c*s**3 + b*s**4 + y and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iyyiiyii. Give prob of picking 1 y and 1 i.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3728453803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-187)\/136 + 13524\/9568.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3080405053649 take away 0.34?\nAnswer: 3080405053648.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8873, 17738, 26603, 35468, 44333, 53198?\nAnswer: 62063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -560*q + 595*q - 210 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1144*k + 48 - 48 - 1197*k.\nAnswer: -53*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 41 - 223?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 20 = -4*u - 5*r, -r = -2*u - 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(6\/5)\/m*m\/(m**5*m)*(m*m\/(m\/m**(2\/3))*m)**34*(m**(1\/9)*m*m*m*m**(1\/4))\/((m\/((m*m**(-1\/6))\/m*m))\/m*m\/(m**(1\/9)*m)) assuming m is positive.\nAnswer: m**(16231\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2568\/72 + -8 + (-4)\/(-3). Solve -72 = -d*q + 11*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*l**2 - 23*l - 24*l**4 - 10*l**3 + 24*l + 3*l**3 + 6*l**3 in the form q + j*l**3 + h*l**2 + p*l + r*l**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 16) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5 and -3*(-6 + 80\/(-15) + 5)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, v: 1, f: 1, m: 1, r: 1}. What is prob of sequence rmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1218, -2400, -3582, -4764?\n\"Answer: -1182*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7.17 and -0.04.\nAnswer: 0.2868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1082140?\nAnswer: 2, 5, 61, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17356443191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 - 2*s**2 - 3*s + 4. Determine v(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.23687 to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -1 + (6 - 2) + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11175 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 5*q. Let b = -3359 - -3363. Let x(v) = 14*v. Let f(r) = -2*r**2 + 2*r + 1. Let l be f(3). What is b*x(d) + l*t(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 13*b**2 - 7*b. Let j(u) = 11*u**2 - u**2 - 2*u - 6*u**2. Give 14*j(v) - 4*o(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 2:49 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 246, 1004, 2278, 4068, 6374?\nAnswer: 9196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12 - -246?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 4 - 4274*y**3 - 2 - 14*y - 104*y**2 + 4276*y**3 to z*y**2 + m + x*y + f*y**3 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/(y*y*y**(-1)*y)*y\/(y\/y**(2\/75)) assuming y is positive.\nAnswer: y**(-73\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n + 6*n + 143 = 0. Let c = n - -26. Calculate the highest common divisor of c and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -8*q - 4. Let b be t(-3). Let a = -16 + b. Solve f - a*h = -0*h - 22, -5*h = -2*f - 29 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 8, -15, -64, -145, -264, -427, -640?\n\"Answer: -u**3 - 7*u**2 + 5*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**4 + m**4 + 4*m**4)*(-47 + 65 - 51).\nAnswer: -66*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {m: 4, v: 8, l: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 2:52 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10390 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5972869 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 41 + u - 4*u**2 + 3*u**2 - u**3 - u**3 - 34 as s*u**2 + y*u**3 + x + w*u and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1165\/11 - 221\/2. Suppose -3*s = -0*s - 327. Calculate the common denominator of s\/(-6) + (1 - 0) and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -2*f**3 - 6230*f**2 + 24952*f = 0.\nAnswer: -3119, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 34.981074 milliseconds?\nAnswer: 0.000009716965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 17*z - 92. Let d = 175 - 91. Calculate the smallest common multiple of g(6) and (-5)\/2*d\/(-35).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1022021 + -1320?\nAnswer: -1030001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3*j + 17 = 0, 5*j = -i - 12 + 39. List the prime factors of (1269\/18)\/(i\/8).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h + 82 - 48 - 40. Let o(l) be the first derivative of -7*l - 23. What is -6*o(j) + 7*r(j)?\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6\/17 or -8\/5?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 50.8223?\nAnswer: 50.8223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 24 (base 11) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2*d**2 - 7*d. Let v be x(-3). Suppose 6 = -5*g + s - v*s, 5*s = -g - 15. Solve g = -2*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1157514 and 1157573 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (1 - 3) + (1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 456 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1633 + 8139\/5. Let h = 172\/35 + g. Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1394 rounded to the nearest 10?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 6*p**2 - 6*p - 1. Let r = 51 + -116. Let t be r\/(-15) + 2\/3. Determine x(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 525 + -3666\/7. Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -1, -5, 37, -41, 5 in descending order.\nAnswer: 37, 5, -1, -5, -16, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 35670 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 - 5*c**2 - 8*c - 7. Give i(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 40 - 40. Suppose -5 = -2*g - 3*p - d, 4*p - 4 = -2*g. Solve -3*w + g*j = -1, -3*w = -4*j + j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-102)\/(-18) - 7)\/((-3)\/(-18))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is a3b0b (base 12) in base 16?\nAnswer: 3447b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 0.5  (b) -47\/6  (c) 4  (d) 0.8  (e) 233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 28 = -0*c. Suppose h - 5*k = 17, k = -4*h - 3*k - c. Solve x = 2 + h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4 + (-12)\/((-4)\/4). Suppose -6*x = -g*x + 18. Find the second derivative of -x*u**3 + 14*u**3 - 13*u + 8*u**4 - 5*u**3 wrt u.\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -3*a + 63, -2*a + 7*a + 35 = 5*d. Let x = d - 8. Let p(k) be the second derivative of -k**3 + 5*k**2\/2 - 6*k. What is p(x)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142321339?\nAnswer: 142321339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 - 12*s**2 + 30*s - 10. Let z be p(9). Suppose -351 = -z*j + 295. Calculate the highest common divisor of j and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -1519*z**2 + z - 6. Let v be s(4). Is 8\/160*-4 - v\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161438507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 472843 and 868?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 520456 + -237743. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -15*z**2 + 129*z + 47. Calculate n(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0172081 to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -209  (b) -2\/5  (c) -0.5  (d) 3\/259  (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 266269850 divided by -33077.\nAnswer: -8050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from vhjjxlht.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**6*k**(-1))\/(k\/((k**(1\/3)\/k)\/k)*k**0*k))**(-20\/3) assuming k is positive.\nAnswer: k**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*v**5 - 10*v**5 + 3*v**5 + (0*v**4 - 3*v**4 + 11*v**4)*(-2 + 2*v + 2).\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46807576?\nAnswer: 2, 23, 254389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -3838 + 3853. Let y be (102\/4)\/((-15)\/(-40)). What are the prime factors of (-56)\/w*561\/y?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-816 - 94 - 832)*(0*q + 0*q + q**2)*(4*q + 2*q**2 - 4*q).\nAnswer: -3484*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 2:35 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/167631040 and -55\/6?\nAnswer: 502893120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*i**2\/7 - 126978240*i\/7 - 2015434179187200\/7 = 0. Calculate i.\nAnswer: -31744560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245*w = -107*w - 208*w - 26320 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2\/19  (b) 0.4  (c) 243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*d**3\/3 - 114*d**2 + 250*d\/3 + 28.\nAnswer: 2*(d - 42)*(d - 1)*(4*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 14*g**2. Let f(r) be the first derivative of -4 - 2\/3*r**3 + 0*r**2 + 0*r. Calculate f(v(a)).\nAnswer: -392*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 13\/8 of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.879701 rounded to 2 decimal places?\nAnswer: -5.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -0.54, -29 in descending order.\nAnswer: -0.5, -0.54, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.05 - 0.05. Let p = -2.4 + 2.9. Let w = -3.5 - -0.5. What is the nearest to w in p, k, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 227481289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -333 and -4.\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 1 + 9 = 0. Suppose -3*q - 249 = -3*z, -y*z + z = -5*q - 91. Is z bigger than 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-90)\/(-20))\/(2\/20)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-4\/7)*y\/(y**3*y)*y\/(y\/(y*y**4))*y**1)\/((y**(-1))**47*((y**1\/y)\/y)**17) assuming y is positive.\nAnswer: y**(480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/1590 and -157\/9504?\nAnswer: 2518560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40769392 divided by 20384696.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*1\/6)\/(161\/483)*-26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 2*z - 12. Suppose -s - 3*s + 365 = 3*b, -3*s = -z*b + 495. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 513395877 and -2.\nAnswer: 513395875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 5*r**4 - 5215*r**3 - 215865*r**2 - 795465*r - 584820 = 0.\nAnswer: -36, -3, -1, 1083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 2 + 29 - (-1566 + 1574).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((-1*sqrt(336))\/sqrt(8))\/sqrt(6).\nAnswer: -sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the third derivative of -17*y**7\/210 + 9*y**5\/20 + 30*y**2. What is the third derivative of x(n) wrt n?\nAnswer: -408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -36010*l - 15181 wrt l?\nAnswer: -36010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11391544?\nAnswer: 2, 1423943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 11b - 8?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 14  (b) 5\/4  (c) -2\/51  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 219229 (base 11) to base 5\nAnswer: 42131440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2896, 4299, 6630, 9883, 14052, 19131, 25114?\n\"Answer: -j**3 + 470*j**2 + 2427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170) - 3*(sqrt(170) + 3*sqrt(170)))\/(sqrt(10) + sqrt(10) + 4*sqrt(30)\/sqrt(3) - sqrt(10)))**2.\nAnswer: 2057\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, v: 3, f: 4, u: 1, s: 9}. Give prob of picking 1 s and 1 u.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 5189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the first derivative of -208\/45*j**3 - 22\/75*j**5 + 112\/15*j**2 - 32\/5*j + 11 + 8\/5*j**4 + 1\/45*j**6. Let u(w) = 0. Calculate w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of -f**5\/4 + 85*f**4\/4 - 1125*f**3\/2 + 13365*f**2\/2 + 4*f - 23. Factor t(o).\nAnswer: -5*(o - 33)*(o - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3118*g + 3197*g - 158 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 200, -8, -5, 3 in descending order.\nAnswer: 200, 3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 28780+-267\nAnswer: 28513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40869 and 19551.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 6*c**3 - 8*c**2 + 5*c + 12. Suppose 14 - 4 = 2*f. Is n(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 14*u + 69*u**3 + 44*u + 2*u**2 - 67*u**3 as f*u**2 + z + a*u**3 + i*u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.031 * -0.4.\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.918 bigger than 9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17.2 in -0.5, -1\/4, -5, -562\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 77 + -6305?\nAnswer: -6239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*(t\/(t*t**7))\/t)**(-20)\/(t**(-4)\/t**(-4)) assuming t is positive.\nAnswer: t**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/217?  (a) -0.3  (b) -0.06  (c) 1\/2  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -9871.35.\nAnswer: 1974.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -108 + -41173.2299964.\nAnswer: -41281.2299964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-38266)\/7049*14\/(-2)*1\/(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5605 and 3.\nAnswer: 2.4395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 9*c + 7. Let u be 1414\/(-175) + 8 + 2\/25. Give g(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -q**4\/5 + 1539*q**3\/5 - 4599*q**2\/5 - 13851*q\/5 + 41472\/5 = 0?\nAnswer: -3, 3, 1536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - r - 1. Let m(j) = 6*j**2 - 3*j + 13. Let b(h) = m(h) - 3*x(h). Is b(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-50 - (-11 + 6)) + (-15 - 12 - -13 - -8).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gugu when four letters picked without replacement from {g: 7, u: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + 1010101110100?\nAnswer: 1010101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12012121200212 - 0?\nAnswer: -12012121200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 8  (b) -0.29  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*d**3 + 5941*d**2 - 231*d**3 - 484*d**3 - 5941*d**2.\nAnswer: -687*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -576*w = -568*w - 16. Suppose -i - w*l - 153 = 0, 12*i + 2*l = 16*i + 602. Which is bigger: i or -457\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 + 5*z - 3. Let j be p(-8). Suppose j*u - 18*u = 6. What is the second smallest value in u, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(612)*-1)**2 + 4 - (sqrt(612) - 5*(-2 + sqrt(612)))) + (4 + sqrt(612) + (sqrt(612) + 0 - sqrt(612)) + -2 + -4)**2.\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-f + 1 - 1)*(-3 + 0 + 2) + (-3 + 1 + 10)*(-186*f + 349*f - 265*f) + f + 0*f + f in the form x + m*f and give m.\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -60\/43 or -165326?\nAnswer: -165326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.65 + -0.7. Let z = -321\/11 - -29. What is the nearest to -0.1 in z, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2028 - -2865. Let t = p - 453. Does 24 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/9*h**2 + 2\/3*h + 20\/9.\nAnswer: -2*(h - 5)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of -g**5\/20 + g**4\/2 - 11*g**3\/6 + 3*g**2 + 5*g. Factor n(l).\nAnswer: -(l - 3)*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -11 and 15208.106.\nAnswer: 15197.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25344 and 235840?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, a: 5, o: 5, c: 4}. What is prob of picking 1 a and 1 c?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 14*g**2 + 9*g - 13. Let j(u) = -5*u**2 - 4*u + 6. Let r(c) = -5*j(c) - 2*z(c). Calculate r(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22003 (base 5) in base 15?\nAnswer: -6a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2*t**3\/7 + 108*t**2\/7 - 1938*t\/7 + 11552\/7 = 0.\nAnswer: 16, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the third derivative of y**6\/24 - y**5\/40 - 5*y**4\/24 + 3*y**3 + 9*y**2. Let w(p) be the first derivative of x(p). List the prime factors of w(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(3\/19)*v)**(-2\/129)*(v**(-24)\/v)\/v*((v\/(v**9\/v))\/v)\/v assuming v is positive.\nAnswer: v**(-85855\/2451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116*l**2 - 3*l**3 - 3 - 1 + 7 - 170*l**2 - 1.\nAnswer: -3*l**3 - 286*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 469 + -469.5. What is the biggest value in j, -0.033, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -171*a + 15. Let h be k(0). Solve -2*c = -3*b - 18 + 14, 0 = c + 5*b - h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u**5 + 21790*u**4 + 304070*u**3 - 189801260*u**2 - 7974052075*u - 7783968530 = 0. Calculate u.\nAnswer: -4342, -59, -1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2016)\/(-140)*55\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 AM and 10:26 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 2*u - 15, q = 3*q - 3*u + 23. Let j(b) = b**2 + 7*b. Let p be j(q). Find the first derivative of p - c - c - 1 wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/435850 and -55\/2.\nAnswer: 435850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 89678862 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 22841.96cm in nanometers?\nAnswer: 228419600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 3*y. Suppose y = 3*i + i - 16. Suppose -20 = i*z, 3*h + 3 = -h - 3*z. Solve 1 = -w - h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of -337*h**6\/10 - h**4\/12 - h**3\/6 - 54*h**2. Is z(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*b = 46*b - 199773. List the prime factors of b.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - -31) + -18 - -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23 + -22. Let w be (6\/(-8))\/(30\/(-16)). Which is the third smallest value?  (a) y  (b) 5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 + 38 + 17 - -21.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-15)\/(-6)*(1 + 1). Suppose 4*p + 8 = u*t - 3*t, t = -2. Let x(o) = 3*o + 4. Let s be x(p). Sort s, -1, -4 in decreasing order.\nAnswer: -1, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 843*g = -68134 + 25984 for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11447646\/120 + 6\/(-120) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2689.22803 - -2426.2281015. Let x = w - -263. Round x to six decimal places.\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -14\/9, -8, 5, 2, -21, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 + 8*h - 14. Let o be f(-10). What is the third derivative of 0*s**6 + 7*s**2 - 5*s**2 - 3*s**o wrt s?\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.113 in 5, -113.83, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/((-18)\/340)*(-693)\/11. Let m be (-4)\/22 + (o\/(-11))\/3. Suppose -3*z + m = 18. Calculate the greatest common factor of 20 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -223, -214, -193, -154, -91, 2, 131, 302?\n\"Answer: s**3 + 2*s - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 - 33 - (-2 + (-7)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -58 + 54.96. Let b = m + 3.5. What is b rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 + 14*g + 23. Give d(14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from {k: 7, v: 4, u: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -332.2284 - -332. Let y = n + 0.23. What is y rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**3 + l**3 - 28*l + 27*l - 10*l**3.\nAnswer: -7*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 304 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6238 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 0. Let c = 268\/1595 - -2\/145. Let t = -1319 + 1318. What is the third smallest value in u, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 7, p: 7}. What is prob of picking 3 p?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, -461, -2\/5, 4?\nAnswer: -461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -140 (base 5) in base 7?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -507365 times 0.03\nAnswer: -15220.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -10*(2\/3)\/(8\/(-6)). Suppose 3*v = 5*n - 11, -j*v = 5*n + 20 - 55. Put 5, v, -7, -5 in decreasing order.\nAnswer: 5, v, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -195172*k**4 - 461045 wrt k.\nAnswer: -780688*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (5 - (-3 - (-4 - (6 - 15)))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -23016, -103343, -237220, -424647, -665624?\n\"Answer: -26775*d**2 - 2*d + 3761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37 + -17. Suppose -k + 35 = -y. Let h = 79 + k. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 9) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.4 + -2.7. What is the nearest to 0 in -0.2, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3338?\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5.219727 millilitres?\nAnswer: 0.005219727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16483.59 millilitres to litres.\nAnswer: 16.48359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 51 - 44. Factor z*b**3 - 14*b**3 + 3*b**4 - b + 3*b**2 + 2*b**2.\nAnswer: b*(b - 1)**2*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b**2 - 9*b + 6. Let s(z) = z**2 - 5*z + 3. Determine -5*s(h) + 2*t(h).\nAnswer: -h**2 + 7*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1867*f - 75583 - 47639 = 0 for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.302084622 rounded to four dps?\nAnswer: 1.3021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 268359 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15225 and 35931?\nAnswer: 898275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.8 + -25.8. Let f = -3.2 - 26.8. Let h = t - f. Which is smaller: h or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*i - 39*i = -1781241. List the prime factors of i.\nAnswer: 3, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/20*-3 - -1. Which is the second smallest value?  (a) h  (b) -1  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 AM and 2:54 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6086 = -416*f - 154 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 94346 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*l - 2. Suppose 4*w = k + 14, 4 = -4*k - k - l*w. Let a = 26 + k. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 147 and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -53 + 55. What is the units digit of (t\/(-3))\/((-2)\/333)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*x**5 + 9*x**4 - 3*x**3 + 5523*x**2 wrt x.\nAnswer: -660*x**2 + 216*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12456784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 51.451 from 3589.5.\nAnswer: 3538.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 135 + -246. Let l = 82 - k. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 6, -1, -5 in ascending order.\nAnswer: -5, -1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a century in decades?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -14, -29, -112, -305, -650, -1189, -1964, -3017?\n\"Answer: -7*a**3 + 8*a**2 + 10*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - p**2 + 2*p)*(-p**2 + p**2 + 2*p**2) - 2*p**4 - 1 + 1 + 104*p**2 + 6*p**4 - 104*p**2 + (-3*p**3 + 5*p**3 - p**3)*(-4*p + 4*p + 2*p).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1109 a factor of 24770036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 378562 = 7098*t - 302846 for t.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 25 = 5*k - 5*t, 3*t = 3*k - 21. Suppose k*i - 12 = -2*q - q, -3*q - i + 12 = 0. Solve -9 = 2*w + 3*j, q*w + j - 4*j + 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*h, -12*v - 5*h + 22 = -14*v. Let g(q) = -14*q - 201. Let o be g(v). Calculate the highest common divisor of o and 943.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 567147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3*164\/6)\/1. Let a = u + -49. Let w = -17 + a. Calculate the remainder when w is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10973152993 take away 0.86?\nAnswer: -10973152993.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2166*n - a + 21 = -2168*n, 0 = n - a + 10 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11560 is divided by 288?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 46+24.692\nAnswer: 70.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -21340800 divided by 195?\nAnswer: -109440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 75\/2 of a kilogram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 808173692?\nAnswer: 2, 202043423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -5*a. Let q(t) = -440*t - 77. Let z(f) = -17*f - 3. Let p(k) = -3*q(k) + 77*z(k). Give l(p(o)).\nAnswer: -55*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 331 - 323. What is the nearest to 1 in o, 0.6, 2\/9, -0.5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 58, 23, 10, 19, 50, 103?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -4*x**3 - x**2 - 6*x - 15. Let b(c) = -3*c**3 - 2*c**2 - 6*c - 14. Let v(l) = -5*b(l) + 4*o(l). Determine v(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -154624\/73 + 2118. Let m = -178036085\/49930321 + 13\/97711. Let v = m - a. Which is greater: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 29*b**3 + 3*b**2 - 3*b - 6. Let x(h) = 2380*h**3 + 245*h**2 - 245*h - 490. Determine 490*u(s) - 6*x(s).\nAnswer: -70*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -3*a + 4*n, 2*a + 4*n + 23 + 9 = 0. Let x be (-108)\/a - (-2)\/7. Solve -3*m = x - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*n - 3*n + 55*n**2 - 7*n - 9*n**2 + 121*n**2 - 7*n.\nAnswer: 167*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 - o + 1. Let h(c) = -5*c**2 - 8*c + 5. Let r(l) = 4*f(l) + h(l). Let q be r(-13). Let k be q*(-2 + 1)*2\/4. Solve -3*d = -k*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -174, -330, -486, -642, -798, -954?\n\"Answer: -156*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*d**4 - d**3 - 4411*d**2 + 38*d + 3046051 wrt d.\nAnswer: 12*d**3 - 3*d**2 - 8822*d + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10 and 56779000?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6478199, -12956480, -19434761, -25913042, -32391323?\nAnswer: -38869604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-528)\/288 - 1\/(-4 - -1). Let n = -3 - -2.5. What is the smallest value in 4, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, g: 1, s: 3}. Give prob of sequence gs.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1407116 is divided by 1380?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1158 and 3244137?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 347699528 + 1.628?\nAnswer: 347699529.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 50142784?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -112 + 114. Suppose 4*m + 7 + 2 = -5*a, -i*m + 33 = -5*a. Let h(u) = 5*u - m*u - 23 + 9. Determine h(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, r: 4}. Give prob of sequence rur.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + 64\/(-30))\/(24\/(-36)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - w = 4*y - 178, -4*w = y - 49. Let f be 3\/(y\/(-6))*-5. Let q be ((-6 - -4) + 6)\/(4\/f). Solve -4*j = -4*g + j + 5, -2*j = 5*g + q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 minus -1553?\nAnswer: 1553.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 199*d = 201*d - w - 69, 3*d = -3*w + 90. Is d > 133\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 358417702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 + -9. Let a = n - 8. Suppose 4*i - 9*i = -10. Sort a, i, 1 in increasing order.\nAnswer: 1, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26 and 59488.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8451*c**3 + 16174*c**3 + 8470*c**3 + 36888*c**3.\nAnswer: 53081*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mrmmomooommrpm. What is prob of picking 1 o and 1 p?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -22*a + 11. Let k(z) = -6*z. Let o(f) = -4*k(f) + l(f). Let r(u) be the second derivative of u**3\/2 + 17*u**2\/2 - 4*u. Determine 8*o(c) - 5*r(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3 + sqrt(32))**2 + (sqrt(800) + -1)**2.\nAnswer: -184*sqrt(2) + 555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -422 + 8*a**2 + 422.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 - 124*x**2 + 800 + 125*x**2 - 771.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eruimumeh. What is prob of picking 1 m and 1 e?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-9) - (-4)\/3. Factor -4*i**2 - 18*i + 21*i**h + 16*i.\nAnswer: i*(17*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1649248871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v - 15*v - 8*v = 0. Suppose 0 = -r + 2*f + 930, v = -2*r + f + 1805 + 64. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1))**(-2\/83) assuming b is positive.\nAnswer: b**(2\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 176\/(-22)*(-1)\/92\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of 13*a**2 + 23\/12*a**4 + 2*a + 0*a**3 + 0. Find the first derivative of p(f) wrt f.\nAnswer: 46*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 5. Suppose y - 2*g = -4*y + 18, -2*y + 4*g + 20 = v. What is the units digit of 8*1*y\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 68 and 153.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*r - 192 = -216 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -51.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10 + -8 + 0 + -1. Suppose 34 = -3*y - 2*z, 2*y - 2*z = 6*y + 42. Let o be r\/2 + (-12)\/y. Solve 0*l - o*l + 6 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/((r\/r**(-1\/17))\/r*r))**(-37))**(-37) assuming r is positive.\nAnswer: r**(-1369\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the third derivative of -l**8\/20160 + l**5\/60 - 3*l**2. Let g(i) be the third derivative of j(i). Let v(m) = m**2. What is v(g(f))?\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*f - 280 = -13*f. Let d be 3768\/40 + f + (-8)\/(-10). What is the highest common factor of 231 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 393874391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Is 922096 < 922124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2734 + -2564. What is the greatest common divisor of g and 2890?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 5092.\nAnswer: 10184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-14)\/(-49) - 2222\/(-14). Suppose 5*t = 4*t + j. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -163 - -163.1. What is the closest to f in -1, 0.03, 2\/11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36193984?\nAnswer: 2, 61, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 1599 divide 357381297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*m = -1464 + 1524 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -7*t - 9. Is 8\/23 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*q**3 - 384*q**2 + 198 wrt q?\nAnswer: 6*q**2 - 768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10563077 a multiple of 2329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -38 + 72. Calculate the remainder when a is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 617*c**2 + 63*c + 15. Is s(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = -2819*u + 2830*u. Do 61\/14 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35066 is divided by 35050?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -125*(-74)\/46250*555\/(-3)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from stttttsttsttsttttt. What is prob of sequence ts?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 300 + -64. Let y = b + -484. Let x = 583 + y. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 747*a**2 - 11*a - 12. List the prime factors of v(-1).\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 4*h**3 - 2*h**2 + 5*h - 24. Let q(k) = 11*k**3 - 6*k**2 + 18*k - 73. Give 2*q(n) - 7*s(n).\nAnswer: -6*n**3 + 2*n**2 + n + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-o**2 - 3*o**2 + o**2)*(0*o + 2*o + 0*o)*(-4 + 4 - 1) + 47*o**2 + 25*o**3 - 47*o**2 in the form m*o**2 + i*o**3 + j*o + v and give i.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of y**4\/24 - 5*y**3\/6 - 3*y**2. Suppose -3*a + f + 19 = 0, a - 17 = -3*f + 6*f. Give o(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 358*i**2 - 37*i + 348*i**2 - 724*i**2.\nAnswer: -18*i**2 - 37*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2195158\/(-2940)*(-3 + 6). Let l = g - -11196\/5. Find the common denominator of 87\/100 and l.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 7, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 8 = 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, k: 2, p: 2, m: 6}. What is prob of sequence pp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -46.3301999 - -46.33. Round s to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49808773006 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -24 - -20343210?\nAnswer: 20343142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 - 5. Let i be n(0). Let j = -65 + 65. Sort -1, j, i, 2 in descending order.\nAnswer: 2, j, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 154454312?\nAnswer: 2, 2753, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.07 and 6372937073585.\nAnswer: 6372937073585.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -120, 10, -2?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1111 - 10.1111. Let v = -0.5 - -1. Which is the smallest value?  (a) 2\/7  (b) -2\/3  (c) v  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 1451*i. Let v(z) = -17188*z. Calculate m(v(g)).\nAnswer: -24939788*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -130*m + 706. Determine o(14).\nAnswer: -1114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -8  (b) -13  (c) 0.055  (d) -1\/367\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*u - 8223 = -7761 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -230554 (base 6) in base 2?\nAnswer: -100110011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 - 1. Suppose -6*l + 3*l - 12 = 0. Let f(m) = 5*m**2 - m + 3. Calculate l*w(v) - f(v).\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-27)*6*9)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21*v**3 - 551*v**2 + 7874*v + 3 wrt v.\nAnswer: -126*v - 1102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 3*u = 1647, -5*u = -4*a - 884 + 2517. What is the remainder when 1291 is divided by a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2435 is divided by 425?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u + 2 - 3 - 1 + 4*u**2. Let d = 45 + -43. Let t be k(d). Solve 3*p - 6*p - 2*n = -9, -4*p + t = 3*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -623*u + 120839. What is g(194)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 268 and 439051.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 - 6. Sort -4, b, -2 in descending order.\nAnswer: b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208 is divided by 3\/((-18)\/12) + 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 + (-279 - -103) + 152\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1114)\/(-30) - 80\/600. Let m = c - 29. Solve -3*x + 7 = -m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 4*f**3 + 3*f**2 + 2*f + 3. Let z(s) = -4*s + 18. Let j(p) = 4*p - 19. Let b(y) = 3*j(y) + 4*z(y). Let a be b(3). Does 16 divide w(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2, -36, -130, -314, -618?\n\"Answer: -5*b**3 + b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2696\/12*3\/(-2). Let h = t - -340. Let i(a) = -2*a - 2. Calculate i(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3215?\nAnswer: 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*a + 3 - 2*a + 23*a)*(5 + 0 - 4 + a) + a**2 + 6*a**2 + a**2.\nAnswer: 9*a**2 + 4*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 175697.3 years?\nAnswer: 17569.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*l + 10*l + 8*l + (-6 + 2 + 2)*(l + 3*l - l) + l - l + l + 5*l - l - l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + -2)\/((-4)\/(-46)). Let x = 54 + -21. Let p = k + x. Solve -1 = -n - 2*q - 12, -q - p = 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 - -40. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 4*t**2 + 3*t + 4. Let n be 8\/(-24)*-111*1. Suppose 25 = 5*s - b + 3*b, 0 = -4*s - 5*b + n. Calculate d(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -3*v**2 + 59*v + 91. Let d be y(21). Solve 0 = 17*q + 41 - d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 320*n**3 + 8*n - 634. Let o(u) = -107*u**3 - 3*u + 212. Let m(d) = 8*o(d) + 3*s(d). Differentiate m(l) wrt l.\nAnswer: 312*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -7716594*z**2 + z. Let s(t) = -2*t. Calculate s(m(l)).\nAnswer: 15433188*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 2 - 1, -2*d - 5*s = 5. Which is the nearest to 0.06?  (a) 2  (b) d  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -d**3*r - d**3 - 6*d**2*r - 6*d**2 + d*r + 6*d - 5*r + 2 wrt d?\nAnswer: -6*d*r - 6*d - 12*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2617.\nAnswer: 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2525\/7 - 359. Find x such that 0*x + 3\/7*x**2 - a*x**4 + 9\/7*x**3 + 0 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**23\/c**36*(c**32)**(-2\/9))**(-3\/4) assuming c is positive.\nAnswer: c**(181\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 - 15*r**2 - 40*r + 31. Is 8 a factor of i(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 810320 and 5320.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -55*r**2 - 14*r - 16. Let v(j) = -164*j**2 - 38*j - 44. Give -4*v(m) + 11*y(m).\nAnswer: 51*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dgsx when four letters picked without replacement from {d: 2, s: 5, x: 6, g: 1, c: 1, q: 1}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a + 0*a + 2*a)*(5*a**3 - 4*a**3 + a**3) + 4*a**4 + a**4 - 6*a**4 + 12*a**3 - 12*a**3 + 25*a**4 + (2*a**2 + 0 + 0)*(-8 + 8 + 4*a**2)*(-3 + 5 - 4).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 195760933 to the nearest integer?\nAnswer: 13991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 57 = 4*s, -4*s - f + 95 = s. Let c = 125 + s. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 687927?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6328 - -11099. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -371, -816, -1261, -1706, -2151?\nAnswer: -2596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of n**6\/360 + n**5\/20 - n**4\/24 + 16*n**3\/3 + 22. Let l(t) be the third derivative of m(t). Determine l(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of -1\/448*p**8 + 72*p**2 + 1\/280*p**7 + 0*p**3 + 0*p**4 + 0 - 1\/80*p**5 + 1\/160*p**6 + 0*p. Factor r(s).\nAnswer: -3*s**2*(s - 1)**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 PM and 11:22 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -29*2\/(-8)*6*(-85)\/(3060\/48)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + 2 - (-2)\/(-2). Let w be (-6)\/t*(-1)\/2. Let i be 0 - (0 + -1 + w). Solve 2 = o - 2*v, 3*v = 3*o - i*o + 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + -1 - (10 - (2 - -4)) - (-24 - 39)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 43125885 divided by -3?\nAnswer: -14375295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6803471100 to the nearest integer?\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3 and 0.06766.\nAnswer: -2.93234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13783 = -3*j - 0*j + s, 3*s = j - 4589. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 219*(3894\/99 - 39)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/407608048 and 35\/25993.\nAnswer: 4483688528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3\/2*v**3 + 69\/2*v**2 + 171\/2 + 237\/2*v = 0. What is v?\nAnswer: -19, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -11, 23, 101, 241, 461, 779, 1213, 1781?\n\"Answer: 3*m**3 + 4*m**2 + m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5010 and 120?\nAnswer: 20040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, z: 3, r: 4, n: 2, d: 1, b: 1}. Give prob of sequence ed.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = -r + 289 - 293, -5*i + r = -4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 348*q - 346. What is l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1059, -5\/4, -16.9, -0.2?\nAnswer: -16.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 851552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 - -37. Factor s*a**3 + 0*a**4 - 7*a**3 - a**4 + 5*a**4.\nAnswer: 4*a**3*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 322420259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 3*m**2 - 11*m**3 - 327*m + 111*m - 2*m**2 + 105*m + 110*m. Let s(o) = 10*o**3 - o**2 + o. Determine 6*s(a) + 5*x(a).\nAnswer: 5*a**3 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-70416)\/5400 + (1 - 24\/(-2)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1775, -7085, -15937, -28331, -44267?\nAnswer: -63745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 3*w + 30, -4*n - 22 = 5*w - 5*n. What is the nearest to 1 in w, 0.1, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 + 27*k**2 + 472*k - 48. Suppose 0 = -4*f + 57 - 1. What is the remainder when o(39) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -7*r**3 + 2*r**2 + 7*r. Let u be (3 + -18)*(-5)\/3. Let l = u - 28. Let o(i) = 4*i**3 - 4*i + 3*i**2 + 0*i**2 - 4*i**2. Determine l*m(k) - 5*o(k).\nAnswer: k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 + -7. What is the highest common divisor of 144 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(1*1\/(-5)). Let i = -11 - m. Let b be (-4)\/i + 130\/(-105). Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*((-1148)\/(-168) - (-2)\/12). Let l(u) = -u**3 + 9*u**2 - 9*u + 10. What is l(a)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -26c8 + -15?\nAnswer: -2710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196*x**5 + 71484*x**4 - 6471672*x**3 - 8417272*x**2 - 2007876*x - 133956 = 0 for x.\nAnswer: -1, -1\/7, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-7)*g**(4\/5)\/g)\/((g\/(g*g**(-6))*g)\/g*g\/(g*g**(1\/3)*g)) assuming g is positive.\nAnswer: g**(-178\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n**3 + 2*n**2 - n. Let a(p) = 21*p**3 + 22*p**2 - 6*p - 52. Calculate -a(b) + 11*j(b).\nAnswer: b**3 - 5*b + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -155.6 + 144. Let d = 12 + f. Let w = -2 + 3. Which is the nearest to w?  (a) -2  (b) d  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -7*k**2 + 513*k - 104. Give z(73).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvvvvrvvyv. Give prob of sequence vvry.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 946, 962, 988, 1024, 1070, 1126, 1192?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2285948.\nAnswer: 2, 7, 107, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -3, -4*j + 5 = -2*q + 3*q. Let a be (-215)\/10 - q\/(-6). Is a < -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**3 - 6693255*h**2 - 3733355406825*h - 55998825130125.\nAnswer: -3*(h + 15)*(h + 1115535)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -2*x**4\/13 + 20630*x**3 - 8975563908*x**2\/13 - 1017493657344*x\/13 - 5781783711744\/13 = 0.\nAnswer: -107, -6, 67104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17008 + -2800. Calculate the greatest common factor of k and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1556, -3147, -4736, -6323, -7908, -9491, -11072?\nAnswer: -12651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 219 or -205937?\nAnswer: -205937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2103 (base 4) to base 7\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrjwjjjrjrww. Give prob of sequence wjrj.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-61)\/(-18117)*33)\/(4\/2)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.137945 + -5.\nAnswer: -5.137945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150293 = 462*t - 1333*t + 45773 for t.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 3, 19 = -4*v + 3*g + 106. Calculate the remainder when 477 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -55 - -54. What is the closest to 0 in m, -3, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2546c (base 16) in base 14?\nAnswer: 3d900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.817 - -3.317. Which is the smallest value?  (a) k  (b) 9.1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-76 + 186 - 83)*(2 + 2 - 3)*(-126*s**2 + 126*s**2 + 5*s**5).\nAnswer: 135*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t**4\/4 + 15*t**3\/4 + 3*t**2\/4 - 63*t\/4 - 27\/2 = 0 for t.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 487 + -489. Let n(k) = k**2 - 4*k - 3. Determine n(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 3*d = -3, -2*q - 5*d = 2 - 7. Let n = 16 - 12. Suppose 6 = 5*z + 3*g, -3*z + n*g = -7*z. Solve z*y + q*y = 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4672245?\nAnswer: 3, 5, 67, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - 2 - 0) + 9. Let h = 11 - b. Find the third derivative of a**4 - 150 + 150 - h*a**2 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (36 - -1)\/(-13*18\/(-11466))?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -6, -2, -5, 1 in decreasing order.\nAnswer: 1, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3393276?\nAnswer: 2, 3, 282773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z = 54 - 37 - 80 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 9235 = 6*t - 11*t, 0 = -3*g. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 - 7*x + 2. Let k be b(7). Suppose 2*n = -a + 30 + 23, -k*a = n - 91. What is the remainder when a is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is cb + 713?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 944 + -12270\/13. Factor c - 2\/13*m - 2\/13*m**2 + 2\/13*m**3.\nAnswer: 2*(m - 1)**2*(m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 487b4b + 16?\nAnswer: 487b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24290\/27 - 56352233\/62640. What is the common denominator of r and 23\/2088?\nAnswer: 20880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of -f**7\/630 + 5*f**4\/12 + 12*f**2. Let m(p) be the second derivative of y(p). Let m(j) = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 0 + 8 - 25*q**3 - 2*q + 14*q**3 + 12*q**3 - 5*q**2 - 6. What is x(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 242f - 1?\nAnswer: 242e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 4) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - 16. Suppose 2*x + 0 = p - 5, p - 3*x - 3 = 0. Let k be (-2)\/p - 220\/r. Solve 0 = -5*b + 2*b + k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -458373, -458596, -458819, -459042?\n\"Answer: -223*d - 458150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -446 + 526*y**2 - 926 - 140 - 49 + 4*y wrt y.\nAnswer: 1052*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**3 + u**2 + 2*u. Let g(w) be the first derivative of -2 + 3 - 2*w + w**2 - 3. Let v be g(2). Determine t(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n + 16 - 3 - 1. Let v be m(-6). Suppose v*k = 19*k. Solve -4*p = -0*x - 3*x - 14, k = -5*p - x + 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*d + 19*d - 5 = 0, -5*c + 3*d = 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**9*(v**4\/v)\/v*v)**(-1) assuming v is positive.\nAnswer: v**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1581 and 5019148?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 423 is divided by 50?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**2 - 3328637*d + 6657278 = 0. Calculate d.\nAnswer: -3328639, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7\/10, -0.4, 0.1, -0.5, 8.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1000122212222 - 1201?\nAnswer: 1000122211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -78, -153, -228, -303, -378?\n\"Answer: -75*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 92 = 4*x - 0*h, 4*x + 5*h - 65 = 0. Let s be (4 + -2 - 2)\/2. Let u = x + s. Round u to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18483590 and 510?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-512)\/(-24))\/((-1)\/(-3)). Let x = 428 + w. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 431 + -13?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 58 - 55. Find the second derivative of 4*x + x + 21*x**3 - 39*x**v - x**3 wrt x.\nAnswer: -114*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (3 + 4 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8975.246 litres?\nAnswer: 8975246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i + 7. Calculate the smallest common multiple of 16 and s(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -135 - -139. Suppose -2*j + 2*k + 2 = 0, -5*j = o*k - 0 - 14. Solve y - 9 = -6*x + x, 0 = j*y - 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4*t**3 + 10*t**2 + t - 2. Let z(s) = -5*s**3 - 11*s**2 - 2*s + 3. Let x(c) = 6*k(c) + 5*z(c). Suppose 3*q + 4 = 4*q. Let w be x(q). Is w at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -369 in 94, 5, 10, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8792 - 8788. Suppose -d - 31 = -6*d + 4*o, 8 = -2*o. What is the closest to y in -5, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 7:57 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-5*(-3 + ((sqrt(160)*2*2 + sqrt(160) - sqrt(160) - sqrt(160))\/sqrt(8))\/(-1*sqrt(1000) - 5*sqrt(20)\/sqrt(2))).\nAnswer: 5*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from khkhkhhkhkkhhkkk. What is prob of sequence kk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -23*n**2 - 621*n + 59. Let u be q(-27). Is u > 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1108*j = 257*j - 897*j - 2480*j - 76104 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3\/19)\/s**12)**(-1\/14)\/((s**(1\/5)\/s**(-6))\/(s\/(s\/s**(-2\/5))*s*s**(3\/4)*s)) assuming s is positive.\nAnswer: s**(-1133\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29983*s - 515 = -29937*s + 359 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 195 + (-11)\/(44\/(-16)). Suppose 12 = 201*j - l*j. Suppose -3*r = -13 - 2. Solve j = 2*g - r*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 0.3, 649.\nAnswer: -0.3, 0.3, 649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 + -19.01. Let g = 5 - 2. Let b = 76.3 - 76.3. What is the third biggest value in j, b, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-3) - 0)*13\/(-91)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2178 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q**2. Let r(x) = 14 + 12 - 26 + 5*x. What is r(m(o))?\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 - 8. Let o = -41 - -67. Suppose o + 1 = 3*a. What is the lowest common multiple of i and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -133 - -18f1?\nAnswer: 17be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhuu when four letters picked without replacement from {b: 11, h: 2, u: 2}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -258, -480, -700, -918, -1134, -1348?\nAnswer: -1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 864 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + (-70)\/(-7) + 8 + -165*10\/30.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 718999 is divided by 440?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/(-6))\/((-2)\/15). Let n(t) = 6*t**2. Let l(o) = -3*o**2. Let z(j) = a*l(j) + 3*n(j). Let w(c) = 2*c. Calculate w(z(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = k - 2*z + 4*z, 5*k = -5*z + 80. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 4*n + 18 = 5*a, -5 = a - 5*n. Let b be ((-195)\/25)\/((-2)\/a). Is 13 a factor of (-1)\/(3\/b*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 11) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7093?\nAnswer: 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h**4 - 3*h**4 - 2*h**5 + (-4*h**2 + 2*h**2 + 0*h**2)*(5 - 5 + 2*h**3) + 681 + 754*h**5 - 681.\nAnswer: 748*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 246 = 265. Let m = 77 - p. Let n(v) = 6 + 0*v - 3 - 2*v. Determine n(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 125 = -8*m. Let r be 5*-2*(-15)\/(-10). Let z be (24\/r)\/(2\/m). Solve -3*t = -1 + 13, 4*j + t + z = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31 - -30.7. Let d = 0.37 - 0.68. Let c = -1.69 + d. Is c greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -473*q**3 + 13*q**2 + 35*q - 14. Let h be y(-25). Let l = h - 63897861. What is l rounded to the nearest one million?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73.51 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x = g - 23, 3*g = -x + 8*g - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75242.\nAnswer: 2, 17, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2757781 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + 4 - 2) + -4. Suppose 4*u + 21 = 3*i - u, g = -2*i + 4*u + 14. Solve -3*z = -i*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0025932589 rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -544, -1132, -1730, -2338, -2956?\n\"Answer: -5*t**2 - 573*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 563774.09 take away -0.355147?\nAnswer: 563774.445147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -72*d**5 + 25*d**3 + 34513*d**2?\nAnswer: -4320*d**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-3))**(-8)\/((o*o\/o**(3\/13))\/(o**9*o)) assuming o is positive.\nAnswer: o**(419\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 19547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 252 and 280?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13946 or 0.157?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -788, -5, -24, 5, 1 in ascending order.\nAnswer: -788, -24, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.00510132 and 0.19?\nAnswer: 0.18489868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/(-75)*((-3)\/(-162))\/(84\/504)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -23*j. Let a(s) be the second derivative of -4*s**4\/3 - 39*s - 11. What is h(a(b))?\nAnswer: 368*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 4*r + 1. Let a(l) = -848*l - 10. Determine -a(p) - 8*d(p).\nAnswer: 816*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 + 3 - -8)*1*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d. Let s(c) be the third derivative of 22*c**2 + 0 + 1\/24*c**4 + 0*c**3 + c - 49\/30*c**5. What is s(o(t))?\nAnswer: -392*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 14.26368 and 2.\nAnswer: 28.52736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.21585383 to three decimal places.\nAnswer: 2.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/732875844 and 38\/5.\nAnswer: 3664379220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (144\/15 - 10) + 8\/20. Suppose 3*a + 13 = -n, 0*a + 3*n = -3*a - 15. Let h = a - -8. Solve 0*b = -4*p + h*b - 28, b - 2 = u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -5, 3\/52, 2\/5, -2, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c + 2*c - 96*c**2 - c.\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 - 1. Let j(d) be the first derivative of 5*d**4\/4 + 4*d**3\/3 + d**2\/2 - d - 2. Let a(q) = -4*c(q) - j(q). Determine a(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 899424936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -203, 0.03, -10, 1, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1190097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 285*b + 5135. Let y be w(-18). Let k(q) be the first derivative of 0*q**2 + 2\/3*q**6 - 16\/3*q**3 + 12\/5*q**y - 42 + 0*q + 0*q**4. Factor k(a).\nAnswer: 4*a**2*(a - 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11230660 to the nearest ten thousand.\nAnswer: 11230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 + -7 + (-14 - -11) - 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -5*n**2 + n - 1. Let s(i) = 13*i**2 - 6*i + 2. Let l(f) = s(f) + 3*w(f). Let o(b) = 2*b**2 + 3*b + 1. What is 3*l(h) + 2*o(h)?\nAnswer: -2*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, y: 1, v: 1, h: 2, a: 2, e: 1}. What is prob of picking 1 n, 1 a, and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -185*z**3 + z**4 - 12*z + 1865 + 192*z**3 - 1863 - 8*z**2 to n*z**2 + k*z**3 + i*z + j + s*z**4 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -17*j - 8. What is the least common multiple of 33 and k(-4)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 466 divide 1633930927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2023214112 - -33?\nAnswer: 2023214200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/247 and 51\/38.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -72*t + 364. Let k be l(5). Let z(v) = 6*v - 7. Calculate z(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 9 + 19 = 0. Let a(s) = s**2 - 6*s + 12. Let u be a(5). What is the highest common divisor of u and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 1562*k - 12585. Calculate j(8).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1153\/186 - 1\/31. Let y = -715\/114 + k. Sort y, -5, 3 in increasing order.\nAnswer: -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 2*i + 1. Let b be y(3). Suppose 0 = -6*s + b*s - 17. Suppose -u + 3 = -3*f, 0 = u + 2*f - 6*f - 2. Calculate the remainder when s is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 547*g + 8755. Calculate o(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101000001101111000 + 1010?\nAnswer: -10101000001101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h - 5. Let x be r(-2). Let o be 1*(x - -6 - -2). Solve 0 = 2*s + 2*m - m - o, -m = 4*s - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 266 = -3*h, h = -f - 2*f + 97. Suppose -4*z = 2*p - h, -z + 5*z = -p + 87. Which is smaller: 24 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 49.4127l?\nAnswer: 49412.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/(p\/(p**(-1\/2)\/p)))**22*(p*p*p\/(p*p**(2\/5)))\/(p\/p**9))**(-17) assuming p is positive.\nAnswer: p**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00460853 rounded to 5 decimal places?\nAnswer: -0.00461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {v: 4, r: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**0\/w)\/w*w)\/(w*(w**5\/w)\/w))\/(w**(-2))**(-18) assuming w is positive.\nAnswer: w**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3\/5 - 1152*y**2\/5 - 1370*y - 1140.\nAnswer: -2*(y + 1)*(y + 5)*(y + 570)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 8. Let m = -247 + 310. Suppose m = -0*p + n*p. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 12775 = 5930. Let k = q - 2084. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -162 equal to -155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9760 is divided by 573?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 + 13)*(-52*d + 14*d + 76*d).\nAnswer: 608*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2151*v**5 - 10371*v**2 - 2787235 + 2787235 wrt v?\nAnswer: 129060*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7323 - -7387. Solve -5*k + 25 = -5*f, -62*f + 2*k - 6 = -a*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176))**2 + 4 + (-2 + sqrt(22)\/sqrt(2) - sqrt(11)).\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, 1141, 5, -4, -1 in increasing order.\nAnswer: -4, -1, 5, 22, 1141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xuyxouynxoyuxxuxuo. What is prob of sequence nu?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*i - 14*i + 3*i - 3*i as c + u*i and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 9109.949 grams?\nAnswer: 0.009109949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/12160 and 101\/158080.\nAnswer: 158080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1272?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/11, 9298, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134274490 is divided by 710.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 - 15 + 14)*(6*p + 0*p - 3*p) - 4*p + 5 - 5.\nAnswer: 44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/90 - 1782\/220 - 7\/((-455)\/510)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from jywiiwijwcyjwyyjiiy.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 4*c - 32 = 0, -4*a + 4*c - c - 29 = 0. What is the third biggest value in 1\/2, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/k**(-5)*k*k))**(-1\/5))**(-3\/10) assuming k is positive.\nAnswer: k**(-21\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -264672261 divided by -861.\nAnswer: 307401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y**3 - 2*y**2 - 1. Let k be (4 + 36\/(-8))*0\/(-1). Suppose 6*v - 12 = -k*v. What is the remainder when p(-2) is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -13*j - 11. Let g(u) = -6*u - 5. Let k be -1*1*(3 - 0). Let y(v) = -9*v - 5. Let z be y(k). Let q be (-84)\/z + 4\/(-22). Calculate q*p(s) + 9*g(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -333 (base 4) to base 12.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 32035589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5674973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5 - (-480)\/95)*2. Put f, -1\/4, 1\/9 in decreasing order.\nAnswer: 1\/9, f, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2784 by -464.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*j = -2460 + 2220. Calculate the remainder when 8446 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1009464 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*a + 2*a + 5*w + 40*w = -14*w - 379, -2*a - w + 4 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -3*p - p**2 - 2*p + 8*p**2 - 2 - p**3. Let j be f(6). Suppose -3*b + 6 + 26 = 5*x, j = x. Calculate the highest common divisor of b and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 538b (base 12) to base 7.\nAnswer: 35522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 104 + -4506?\nAnswer: -4402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 7*v + 18. Which is the closest to -2?  (a) 3  (b) v  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86955.86 hours to microseconds.\nAnswer: 313041096000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 - -1) + -27 - -4. Let m(i) = -i**2 - 17*i + 25. Let q be m(p). Let r(b) = -b + 1. Calculate the remainder when 26 is divided by r(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 441\/91 + (-12)\/(-78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11841, -1\/6, -3\/4, 0.3, 0.1 in decreasing order.\nAnswer: 0.3, 0.1, -1\/6, -3\/4, -11841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 2*s + 16. Let a(x) = 46*x**2 - 23*x**2 - 4 + 5 - 6*x + 41*x**2. Is a(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 62*o - 121*o + 60*o - 90. Let m(z) = 0*z**2 - 4*z**2 - 3*z**2 + 6*z**2. Determine v(m(h)).\nAnswer: -h**2 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -652193*g**6 + 5*g**3 + 5607482*g**2?\nAnswer: -78263160*g**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1090\/7 + -156. Let j = 0.038 - 0.268. Let i = -0.16 - j. Which is the closest to -2?  (a) w  (b) i  (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 - 2*u**2 + 14*u + 5. Let s be z(3). Suppose -2*b - 5 = -7*b + 4*y, -y + 15 = s*b. Solve -a - b = 3*d, d + a - 4*a = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2, -33, -116, -271, -522, -893, -1408, -2091?\n\"Answer: -4*x**3 - 7*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 646564?\nAnswer: 646567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 298, 2511, 8518, 20215, 39498?\nAnswer: 68263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of -v**6\/18 - 5*v**5\/6 - 9*v**4\/2 - 104*v**3\/9 - 44*v**2\/3 - 8*v + 156. Solve s(z) = 0 for z.\nAnswer: -6, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4021\/9 - -2723\/6. Calculate the common denominator of -83\/8 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1367 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2 = -4*l - 2*m, -4*m = 8. Suppose 5*d + 34 = -2*o + 3*o, -l*d - 20 = -2*o. Let s = d + 12. What is the remainder when 10 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/(-4)*(-106080)\/21420?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = -4*d + 3*x, -49462*d = -49462*d + 2*x + 38 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -652 + 708. Is p less than 394\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4317\/4 or -1079?\nAnswer: -1079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 187\/35760 and -199\/5280.\nAnswer: 786720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of -3\/2*k**6 + 0*k**4 + 0*k**2 + 10\/3*k**3 + 0*k**5 + 0*k - 6. What is the third derivative of f(g) wrt g?\nAnswer: -540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 437075 at most 437104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -7*n**2 + 15*n + 37. Let x(l) = 4*l**2 - 8*l - 19. Suppose -c + v = 17, c + 2*v - 19 = -18. What is c*x(w) - 6*j(w)?\nAnswer: -2*w**2 - 2*w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.1 - -2.9. What is the closest to 0 in 0.4, a, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 73, 109, 145?\n\"Answer: 36*u + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -2*z - 3*z. Find the second derivative of b + 5*b - z*b**3 - 2*b wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 AM and 5:16 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 80650.11 rounded to the nearest ten?\nAnswer: 80650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -48, -86, -124?\n\"Answer: -38*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 5, q: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*j - 8 - 58*j + 8.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 4*j - 224, -2*p = -2*j + 2*p + 106. List the prime factors of j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1567216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142557 = 3564*p - 3583*p. Do p and -7502 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -614*l = 2*y - 618*l - 22, 3*y - 5*l = 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7116592\/176311 + 2447593788417\/762368764. Let z = 430\/1081 - j. Let q = -3186 - z. Calculate the common denominator of q and 13\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 2*m + 39. Let k be p(-18). Suppose k*j - 507 = -j - 3*r, -j = r - 127. What is the smallest common multiple of 10 and j?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**2 - 2*a - 2. Let q be g(2). Suppose 14 = -3*n + 5. Does 10 divide 3\/q*(-20)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1218 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-144)\/9*(-2)\/4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5615 divided by 2886?\nAnswer: 5615\/2886","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 2\/9, -1, 28\/9?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1383504\/(-154242) - (-1)\/(-33)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/2))**7\/((s**(2\/25)*s)\/s**(-1)))\/((s**8*s\/s**(1\/5))\/((s*s\/(s\/((s**(-5)\/s)\/s)))\/s*s*s**(-3\/5)\/s)) assuming s is positive.\nAnswer: s**(-1099\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from evevveeeeveeeeeeeeee. Give prob of sequence ev.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - 2*x - 34, 2*g - 3*x - 2*x = 13. Let t = 2 - g. Is 9 a factor of ((-18)\/5)\/(t\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 + 22*w - 6. List the prime factors of p(5).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -737*u + 736*u = 5, -4*l - 5*u = 45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -972, -1928, -2870, -3792, -4688, -5552, -6378, -7160?\nAnswer: -7892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p*p**(7\/2))\/((p*p*p\/p**(-2\/27))\/p))**46)**(18\/5))**21 assuming p is positive.\nAnswer: p**(42182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -132.000000916 + 132. Round r to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 8:37 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 135 and 590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 74\/5 of a milligram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -38?  (a) -54728  (b) -1  (c) 1\/5  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of -a**4\/3 + a**2 - 18*a. Let g(c) = c**2 - 1. Let u be -1*(0 + -3 + 2). Determine u*q(h) + 2*g(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8341478.\nAnswer: 2, 4170739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*h + 6*i - i, 3*i = h + 9. Let u = -8 + h. What are the prime factors of -2 + 108\/u*-4?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 4  (b) 2  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -316*q - 1580. What is s(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 4*l - 10. Suppose 0 = -8*m + 3*m - 55. Let s(c) = 10 + 5 + c + 3 - 26 + 6. Give m*s(y) + 2*x(y).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 + -29. Let d = -0.07 + -6.93. Let x = d - r. Put x, -0.3, -1 in increasing order.\nAnswer: -1, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 481947, 963894, 1445837, 1927776, 2409711, 2891642, 3373569?\n\"Answer: -2*u**2 + 481953*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, 13, -1, -35, -95, -187?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k + 3*k + 10*k**2 + 2792 - 676 - 674 - 1442.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 43 + -47 - (1 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7029 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 175*g**3 - g - 2. Calculate a(-1).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) -14  (b) -0.5  (c) 369  (d) 69  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.5 - -1.9. Which is the second biggest value?  (a) 0.2  (b) t  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 3*h**2. Let r be 297\/968 + ((-12)\/(-22))\/(-3). Let k(p) be the third derivative of 0 + r*p**4 + 3*p**2 + 0*p**3 + 0*p. Determine k(w(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 5025, 10179, 15457, 20871, 26433, 32155, 38049, 44127?\n\"Answer: 2*d**3 + 50*d**2 + 4990*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7*8\/(-56))\/((-21)\/9)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 5*b = 66. What is the remainder when 96 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -3013*j + 64. Let z(s) = -9*s. Give z(a(y)).\nAnswer: 27117*y - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (9062\/69)\/((-28)\/(-6846)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 158 = -3*a, 4*a = o - 3*o + 206. Put 4, a, -2, 1 in decreasing order.\nAnswer: a, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -382 divided by -5.\nAnswer: 382\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*o - 182 = -34*o. Solve o*k = -26 - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20773 is divided by 1031?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum -6040449 and -77.517.\nAnswer: -6040526.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -43 + -12 + (1 - -5 - (-46 + 43)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*y - 19364 + 62000. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-21)\/6)\/(6\/4 - 1). Let n(f) = -f**2 - 9*f - 9. Calculate n(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28555 is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -704, -1361, -1950, -2459, -2876, -3189?\n\"Answer: 2*u**3 + 22*u**2 - 737*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 21\/(-42)*(5 - 5) - -1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3278 + -3277.5. Let s be 2 - 1 - 0 - -2. Let a = 1\/46 - 13\/69. Put r, s, a in increasing order.\nAnswer: a, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of t**5\/20 + t**4\/6 - 2*t**3\/3 - 2*t**2 - 7*t. Let z be y(-3). Let w(n) = -n**2 + 8 - 6*n**2 - 2*n - 9. Determine w(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ewwwzzwewwweeewezwe. What is prob of sequence ewez?\nAnswer: 63\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 3*s**5 + 51249*s**4 + 217248750*s**3 - 13884684510*s**2 + 26247602607*s + 40349484621 = 0.\nAnswer: -8573, -1, 3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -264 - -280. Suppose 8*a + 0*a = v. Calculate the highest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 23\/7*v + 6\/7*v**2.\nAnswer: v*(6*v - 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 2461320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247035 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 264783 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 90, 2, -770, 4 in decreasing order.\nAnswer: 90, 4, 2, -4, -770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 595?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 231714985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 - 22\/6)*-3. Suppose 547 = 2*s + 3*f, -4*f = 5*s - r*f - 1384. Let t = 469 - s. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - c)*(c**2 + c**2 - c**2)*(-6 + 0 + 4).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 2 = -0. Let g be (4 - -1) + (-29 - -7). Is d greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3, -4, -15, -30, -49?\n\"Answer: -2*f**2 - f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -164 - -168. Let w be (-6)\/3*1\/6. Which is the closest to -1?  (a) j  (b) w  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8669 - -14845. Suppose -3*g + 4*i = g - o, 2*i = -6. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 9934877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n\/(n**(2\/23)\/n)*n*n)))\/(n*n**(-4\/7)\/n))\/(n*n**(3\/2)*n)**(-3\/7) assuming n is positive.\nAnswer: n**(1927\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 2 - 14. Let v(l) = 2*l + 4 + 1 + l**2 - j. Calculate v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 203537.773 - 0.064.\nAnswer: 203537.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3870 + 3?\nAnswer: 3873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -192?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.038 - -0.138. What is the closest to h in 0, -4\/7, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 181776*y + 440743 wrt y?\nAnswer: 181776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c = -0*c - 18. Solve c*g = -3*g - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i + 5*i = 2616. Put 4, 3, i in ascending order.\nAnswer: 3, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1045351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2*u = -4, 0 = -3*a - u + 3 + 20. Suppose -3 - 24 = -4*q + 5*n, -3*q + a = n. Is q\/(-3) - -6 - 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 0.2  (b) 1\/6  (c) -2\/17  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20.225 - -20.125. What is the nearest to l in -6, -5, 1.61?\nAnswer: 1.61","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -225*q + 736 - 1861 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-880)\/(-60)*(-6)\/(-11). Solve -15*v + 7 = -d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1073 - -539. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 9535, 9545, 9565, 9595, 9635?\n\"Answer: 5*p**2 - 5*p + 9535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6594*y**3 + 2*y - 13227.\nAnswer: 39564*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h**5 + 307674 - 307674 + 332*h + 19*h**2 wrt h?\nAnswer: -20*h**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the third derivative of -q**6\/120 - q**5\/30 + q**4\/3 + q**3\/6 - q**2. Suppose h + j = -3*h - 23, j - 31 = 5*h. Is s(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 8708 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -8*o - 14. Suppose 113 = -10*y - 7. Let q be k(y). Suppose 13*r - q = 11*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m\/(m**(-6)*m))\/m*m**4)\/(m**(-6)*m**(-2)*m) assuming m is positive.\nAnswer: m**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 4 = -6. Let x(t) be the second derivative of 1\/9*t**3 + 0 - 1\/45*t**6 - 2*t + 0*t**m + 1\/18*t**4 - 1\/30*t**5. Factor x(f).\nAnswer: -2*f*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -126*v + 18*v. Which is the closest to 2?  (a) -3\/5  (b) -1\/5  (c) 91  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -5 + -5 + -2 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(405) - ((2*sqrt(405) - sqrt(405)) + 4) - ((sqrt(405) - (sqrt(405) + 0))*-2 + sqrt(405))) + 1)*-4)**2.\nAnswer: 864*sqrt(5) + 6624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + h + 6 + 0*h)*(-3*h - 4*h + 5*h)*(54 + 90 - 6) to k*h**2 + y*h + m and give y.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.02588 + -105.15588. Let x = t - -105. What is the closest to x in -2\/17, -0.5, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -297 + 308. What is the remainder when 724 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-2\/7))\/w)**(-4)\/(w**4*w**6)*(w**4\/w**0)\/((w\/w**5)\/w*w*w**(-3)) assuming w is positive.\nAnswer: w**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -f**2*w**2 + f**2 + 26*f*w**3 + 48*f - 2*w**2 wrt w.\nAnswer: -2*f**2*w + 78*f*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 743066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 172*v - 672 + 157 - 345. Let g(r) = 3*r**2 + 5. Let o = -4 - -3. Let x(m) = m**2. What is o*g(q) + v*x(q)?\nAnswer: 2*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16 (base 12) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 255*h**2 + h - 2. Let i be b(1). Let x = -113 + i. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 AM and 7:45 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27388301 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 + 7*w - 2. Let a be k(6). Let q(s) = -11*s - 13*s + 26*s. Let m(i) = -2*i. Give a*m(x) + 6*q(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 + 21 - (4 + (-2 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2*m - 8. Let c be o(-5). Suppose -2*f + c*z - 7*z + 52 = 0, -2*f = 4*z - 48. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of 14 + 2\/3*q**3 + 0*q + 7\/60*q**5 + 2*q**2 - 1\/24*q**4. Let s(y) = 4*y**2 - y + 2. Determine 3*h(k) - 5*s(k).\nAnswer: k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the second derivative of 2*g**3\/3 + 3*g**2\/2 - 2*g. Let y be ((-7)\/(-5))\/(1\/5). Is w(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -35*z**3 - z**2 + z + 1. Let a be (-42)\/38 - (4\/19)\/(-2). Determine g(a).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Let g = -488 + 488.93. Let v = g - 0.9300967. What is v rounded to 6 decimal places?\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 AM and 4:56 PM?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.03591195 to 4 dps.\nAnswer: 0.0359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + 275\/30 + 20\/(-5). Suppose 0 = -5*v + 5*k, 12*v = 7*v - 3*k + 32. Is m greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 39*t - 4. Let y(f) = 2*f**2. What is y(k(i))?\nAnswer: 3042*i**2 - 624*i + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 74177000 rounded to the nearest 100000?\nAnswer: 74200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) -4  (c) 148  (d) -4\/7  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.7?  (a) -2  (b) 0.8188  (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -2\/7, -1.14, -0.08, 1\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*k**2*z + 29*k**2 - 2*k*z - z - 459 wrt k?\nAnswer: 6*k*z + 58*k - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.16, -49, 0.3, -2\/11, 0.1, -0.01?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2808614?\nAnswer: 2, 241, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 + 4*y + 6 - 6*y + 2*y - 4*y. What is the units digit of l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*v = -22 + 10 - 15. Is 12\/461 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((-12)\/126) + -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 4*h**3 + 2*h + 1. Let c be y(-1). Suppose 19*m + 16 + 41 = 0. What is the nearest to 1 in c, m, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13272\/61936*(1365\/54)\/(-5).\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 1 = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17.7 - 56.5. Let s = 41.7 + j. Let o = -93\/340 - -2\/85. Put s, -0.2, o in ascending order.\nAnswer: o, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/35 - 178\/105. Let i be ((-4)\/2)\/1 - 1. Suppose 94*n + 15 = 109*n. Which is the biggest value?  (a) v  (b) n  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 12.3 and 176.091422?\nAnswer: 163.791422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/42944 and -83\/64416?\nAnswer: 128832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yggo when four letters picked without replacement from {y: 1, g: 4, o: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the third derivative of -g**6\/40 - g**5\/2 - 13*g**4\/8 + 12*g**3 - 212*g**2. Find d such that a(d) = 0.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -10 - (3 + -1) - -1. Let o = j + 16. Let m(q) = -1 + o - 2*q + 0. Let d(b) = 3*b - 5. Give -3*d(n) - 4*m(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2\/99 - -482\/99. Is n smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107958 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.29343445 rounded to 3 decimal places?\nAnswer: 1.293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1792 and 10940160?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 22*j + 4 = 23*j, -8 = -6*y - 2*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9.1 and 53984.\nAnswer: 491254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 16 = 2277*o - 2278*o, -4*o + 7 = a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**3\/((b\/(b**(-9)\/b))\/b)*b**(4\/5)*b*b**(-1\/34) assuming b is positive.\nAnswer: b**(-889\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.98293498 + 0.03?\nAnswer: 31.01293498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 27030 and 5355.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 25405 (base 9) to base 5\nAnswer: 1021341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = b + 5, -w - 44 + 31 = 2*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-4)\/q**13 assuming q is positive.\nAnswer: q**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 9*k = -3, k - 13 - 22 = 5*c - 13 + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h**2 + 8*h - 87*h**3 - 8*h - 2*h**2 + 84*h**3.\nAnswer: -3*h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 89 + -7.9\nAnswer: 81.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 878233?\nAnswer: 593, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 137228, 137329, 137506, 137771, 138136, 138613, 139214, 139951?\nAnswer: 140836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 3*n**2 + 99*n - 1647. What are the prime factors of t(56)?\nAnswer: 3, 5, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1690 - 1591. Which is greater: y or 9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -453162822 or -453162820?\nAnswer: -453162822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -58?  (a) 0.1  (b) -1\/6  (c) -3  (d) 591  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 at most 191935\/1554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(1331) + 0)**2*-5.\nAnswer: -6780 + 550*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 + 8*t - 5. List the prime factors of c(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -65*d - 205. Let l be c(-6). What is the highest common divisor of l and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 - 5. Suppose -2*r + 4*v + 7 = -9, r + 4*v + 10 = 0. Suppose -r*g + a*g - 168 = 0. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 6128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.5  (b) -32910  (c) 4  (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-215)\/1290)\/(2\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.1 + -0.5. What is the second biggest value in 3, w, 3\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.396 - 64954.\nAnswer: -64953.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 PM and 9:31 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -40.31 rounded to zero dps?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -447.5 + 441. Which is bigger: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*f**3 - 356*f**3 + 5*f + 133*f**3 - 5*f - 141*f**2 + 136*f**3.\nAnswer: f**3 - 141*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2360303, 2360306, 2360319, 2360348, 2360399, 2360478, 2360591?\nAnswer: 2360744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/8?  (a) 4  (b) -2  (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19.31 + 1.11. Let f = l + 17.2. Which is the fourth biggest value?  (a) 0.2  (b) -1\/2  (c) f  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -46?  (a) -2\/3  (b) -5  (c) -12  (d) 0  (e) 1737\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*g**3 + 627*g**2 - 114591*g - 1332375 = 0. Calculate g.\nAnswer: -323, -11, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 2350 divide 368010426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.3922818 kilometers?\nAnswer: 392281800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (68 + 3585*a**2 - 68 - 1014*a**2)*(4 + 2*a - 4 + 3*a**2).\nAnswer: 7713*a**4 + 5142*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - (9 + -1 + 0). Let t = s - -13. Calculate the greatest common divisor of t and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -90 - ((-8 - (-7 - 17)) + -23).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(2\/12*-1). Let l be 6\/(-8) + (-3)\/f. Let k = l + 4. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of -2*d**5\/5 - 2*d**4 + 54*d**3 + 324*d**2 + 4076. Suppose k(f) = 0. Calculate f.\nAnswer: -9, -4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + 1)*(4 + 18). Suppose -123 = -2*x + 4*d - 3, j = x + 2*d. Let i = x + -41. Calculate the highest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -52*l - 2209. Let s(p) = 2*p**2. Determine s(b(v)).\nAnswer: 5408*v**2 + 459472*v + 9759362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -21*y - 9. Let q be b(-5). Suppose -u + 275 = q. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/((s\/(s*s\/((s*s**(2\/7)*s*s*s)\/s)))\/s)*s\/(s\/s**5)*((s\/s**1)\/s*s)**(-32) assuming s is positive.\nAnswer: s**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12804.276 * -0.1.\nAnswer: 1280.4276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + r = 22, 19*q - 24*q - 13 = -4*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9 - 40*l + 19*l + 68*l to the form g + a*l and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (123 - 103 - (-49 + 13)) + 35?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 - 16*d - 8. Let b be y(8). What are the prime factors of ((-1)\/2)\/(2\/b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, x: 2, e: 9}. What is prob of sequence ee?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-2\/3))**13\/(j**(-1\/4)*j)**(10\/17) assuming j is positive.\nAnswer: j**(2165\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 16255101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6041.529 centuries to decades.\nAnswer: 60415.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 0  (c) -194  (d) -3\/2  (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.6 + 8.4. Let q = f + -9.36. Let w = q - -0.06. Which is the third biggest value?  (a) w  (b) 2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of s**6\/120 + s**5\/15 + s**4\/6 - 2*s**3\/3 - 1220*s**2. Let j(o) = -1 + 0*o + o + 0 + o**2. Give 4*j(w) - t(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {q: 4, s: 5, f: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/8)\/((-6)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -237 - -241. Calculate the highest common factor of p and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) 0.08  (c) -0.5  (d) 546\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65 - 208 = -39*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*c**3 - 5807252*c**2 + 1405172055560*c + 936783951376.\nAnswer: 2*(c - 483938)**2*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1524031 - -3?\nAnswer: -152402e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -322340 - -0.39126?\nAnswer: -322339.60874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-14)\/3)\/(-7))\/(4\/(120\/(-110)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 366*b - 79*b = 23242 - 10040 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -40 - -80 - (-20 + (-4 - -53))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 152 + -136 - (16 - 0) - 90\/25.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40, -42, -44, -46, -48?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 267538 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1826, 748, 5052, 11098, 18898?\n\"Answer: 2*l**3 + 853*l**2 + l - 2682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5635 - 3322. Let q be 2*v\/6 + -1. Round q to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -157 + 62. Let x = 15 - p. Suppose -5*j + x = 3*a, -3*a - 4 = 2*j - 3*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(84)*-1)\/(sqrt(12) + (sqrt(300)*-1 - sqrt(300))))**2.\nAnswer: 112\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + -3 + -3 - (3 + 2 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 + 2*n**2 - 6*n - 5. Let o = -88 - -86. Let k be s(o). Suppose -k*g + 16 = -3*g. What is the remainder when g is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -742*t = -1046*t - 6688 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -37 + 40. Suppose -5*r - 2*w = 552 - 7352, 4*w = -l*r + 4066. Suppose -5*m + r = m. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4360 + -17339\/4. Find the common denominator of j and -15\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 5*q - 1 = -3*q, 5*q + 34 = -3*l. Let k = -34 + 20.4. Let o = 14 + k. What is the third smallest value in 2\/11, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 221 + -216. Suppose 4*h = -h + 4*z + 3136, -j*h - 3*z + 3108 = 0. Does 48 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*d + 7 + 10*d - 2*d)*(-30 - 12 - 11)*(d**2 - 1 - 1 + 4) as w*d**2 + a*d + j*d**3 + v and give j.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 26\/(-14) + (11 - (-1950)\/(-175)). Put c, 2, 9, 4 in decreasing order.\nAnswer: 9, 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 11 = 3*q + 4*a, -5*a = -5*q + 45. Suppose 2*u = -n + 53, 2*u + u + q*n = 90. Let g = 18 + -11. Calculate the remainder when u is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qiqqqqiqqqqqqi. What is prob of sequence qqq?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b + 6. Let c(o) = o + 7. Let n = 3 - 4. Let h be 1\/(n + (-6)\/(-9)). Let p be (5\/h)\/((-1)\/(-3)). Calculate p*c(k) + 6*u(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12804*z**2 - 12804*z**2 - 20*z**3.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of 0 + 38*j - 1\/6*j**4 - 10*j**2 - 7\/3*j**3. What is p in f(p) = 0?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1907, 1908, 1909?\nAnswer: 1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c + 48 = 8*c. Solve 3 = 2*m - c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 2\/125 of a gram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.999583 millilitres to litres.\nAnswer: 0.005999583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - 20. Suppose d = -5*d - 204. Let f = w - d. Sort -5, f, 0 in ascending order.\nAnswer: -5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1309879481?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44 divided by -3953.\nAnswer: 44\/3953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19627?\nAnswer: 19, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/3*(-9)\/2. Let u(p) = -p**3 + 23*p**2 - 24*p + 49. Let w be u(22). Solve 5*x + 9 = -3*a, n*a = w*a - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11924.4 + -12503.416. Let n = 0.016 + x. Let a = n + 578.617. Round a to 2 dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1561?\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -43\/2*j**2 + 0 - 3\/4*j**3 + 29\/4*j.\nAnswer: -j*(j + 29)*(3*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/((-147)\/138 - -1). Let x = -33 - t. Suppose 0 = -5*i + 2 + x. Solve -5*c + i*c = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y = 7*y + 110. Suppose 0*j = 2*j - 16. What is the lowest common multiple of y and j?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2542191?\nAnswer: 3, 593, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 36\/(6 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.055 + -50.055. Let c = -72 - t. Let l = c - -24. Sort l, -0.2, 10.\nAnswer: -0.2, l, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2091640 or 2091642?\nAnswer: 2091640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.205 * 33269.\nAnswer: 6820.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + -3172?\nAnswer: -3171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -3*i + 4. Let v(a) = 7*a - 7. Let t(x) = -9*p(x) - 4*v(x). Let h = 18161 - 18154. Calculate t(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 PM and 5:20 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22, -17, -18, -31, -62, -117?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 608*z**6 - 55*z**5 + 57*z**3 - 3*z**2 + 184*z + 9030 wrt z?\nAnswer: 72960*z**3 - 3300*z**2 + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 23 = -4*b + 9, -2*p + 4*b = -18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2202 + 11112031?\nAnswer: 11103223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 262.5504 nanoseconds in minutes?\nAnswer: 0.00000000437584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -514 by -1.\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of -2*r**7\/105 + r**5\/15 + 5*r**2. Solve l(t) = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 - 110*m**2 + 524*m + 927. Give o(105).\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2 + 2115432*w - 38076804.\nAnswer: -3*(w - 705126)*(w - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, y: 6, l: 1, v: 3}. Give prob of picking 1 l and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -103 - -106. Find the second derivative of -16*l**3 + 33*l + 9*l**3 - 26*l**n wrt l.\nAnswer: -198*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 25, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1\/152723 - -152725\/305446. Factor -1\/2 - 3\/2*k**2 + 3\/2*k + j*k**3.\nAnswer: (k - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 + 20.7. Let j = x + 0.2. What is the closest to 1\/4 in -3\/8, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -19*u**2 - 78*u + 648. Let f(h) = -21*h**2. Let v(b) = -f(b) + l(b). Find m, given that v(m) = 0.\nAnswer: 12, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161*a + 135*a + 4*r = -21*a - 270, -4*a + 2*r + 210 = 0 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4798*l = -4561*l + 1659 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 139.4 times 115068?\nAnswer: 16040479.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 6*y - 12. Let i be (-1612)\/(-91) - 4\/(-14). Does 29 divide v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/6)\/(2 - 3323\/1662). Is g equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45388668 divided by -156?\nAnswer: 290953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + 11*j - 76. Let o be z(-20). What is the greatest common divisor of o and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 4*v**3 - 124*v**2 + 1020*v - 900 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 1. Let i be 3\/(14\/4 - s). What is the first derivative of 0 + i - 1 + 2*u wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 - 9*b**2 - 12*b + 30. Give i(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 9380660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -66*n - 9. Determine g(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {v: 8, y: 1, b: 3, e: 5, f: 1, j: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f - 24 = -36. Suppose -2*w = -4*x - 38, 5*w - f*x - 53 = 2*w. Solve 0 = 3*v + 2 - w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1306297514 to the power of 1\/2, to the nearest integer?\nAnswer: 36143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-78)\/(-8) - 2\/(-8). Let y = o + -14. Suppose 0 = -4*r - 8 - 0. Put r, y, -5 in increasing order.\nAnswer: -5, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/5, -10, 0.1, 69?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of -49*s**6\/40 - s**3\/6 + 127*s**2 + 2*s. What is the derivative of g(t) wrt t?\nAnswer: -441*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 490*h**2 + 300*h + 18\/5.\nAnswer: 2*(5*h + 3)*(245*h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 + 3*x**2 + 4*x - 5. Determine n(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 PM and 4:45 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vffvfgvfzffgfzvgv. What is prob of picking 1 g and 1 z?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 273479836 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 + 2*o**2 + 19*o + 89. Calculate q(-5).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*i - 4*i + 0*i - 3*i - 3*i + 4*i - i - 2*i + i + i - 5 + 5 + 3*i - 2*i - 2*i + (-i + 1 - 1)*(-5 + 2 + 5) + i - 3*i + 0*i - i + 5*i - 3*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.685 - -0.315. What is the third smallest value in -3\/5, w, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-12)\/40)\/(6\/5). Suppose -5*w = 5*h - 10, -2 = -5*w + h + 8. Let n = 10 - 15. Which is the nearest to d?  (a) w  (b) n  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 18. Let b(g) = -g + 19. Let v(d) = 2*b(d) - 3*z(d). Let x be v(-10). Solve -x = -5*c + c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/1200 and 131\/32334840.\nAnswer: 323348400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -89*o + 662. Calculate the smallest common multiple of o and 212.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 2*((-5*sqrt(96)*1 - sqrt(96))\/sqrt(12) + 3)**2*-5.\nAnswer: -2965 + 720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 5 + (-93)\/(-9) + 1\/(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of 0*l + 13 - l**3 - 13\/2*l**2. Find the second derivative of y(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*a = -3, 8 = v - 2*a + 1. What is the lowest common multiple of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 63345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 40*(-29)\/145 + (-2)\/(24\/(-82))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-4))\/((-3)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 176633 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from tnrtrtrgrtrt.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 68 - 130 - 20*g + 62. Let h(v) = -4*v. Give h(d(o)).\nAnswer: 80*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2. Let l(x) = -18156*x. Calculate a(l(v)).\nAnswer: 329640336*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 93  (c) 2\/53  (d) -6\/11  (e) -1\/5  (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 326248904*q**4 + 2*q**3 - 284956215?\nAnswer: 1304995616*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fefeieffeeeeiidefeei. Give prob of picking 2 e and 1 i.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -88668, -178772, -270314, -363294?\nAnswer: -457712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 4 = b - r, 0 = b - 5*r + 8. Solve 3*z - b = 4*k - 0*k, 3*k = -4*z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -2*f - 4*q - 16, 0 = -4*f + q - 30. What is the remainder when (-16)\/(-2)*(-4)\/f is divided by 7\/(-2)*(-12)\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 6*l = 32. Solve 4*d = -2*p + 6*p - l, -24 = -3*d - 3*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/2 - 207\/(-18). Let w = v + -12. Is w greater than or equal to -16\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26288\/159*9\/48?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -155027\/36 or -4305?\nAnswer: -4305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-780)\/(-390)*((-317)\/(-2))\/(-1). Is w at least -328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -53.0162 - -53. Round y to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s + 12. Let d(w) = -2*w**2 - 5*w + 17. Let c be d(-5). What is r(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3055501 (base 8) in base 9?\nAnswer: -1463740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1264, -5051, -11360, -20191, -31544?\n\"Answer: -1261*l**2 - 4*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3256899439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -19 + 14*b - 18 + 42*b - 74*b - 7. Let j be -5 + 0 + -1 + 2. Let c be s(j). Calculate the greatest common factor of c and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30450 or -30346?\nAnswer: -30450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2959 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + 7*p**2 - 8*p + 2. Let r be u(-7). Let z = r + -32. Let y = z + -13. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}