{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {y: 9, u: 9}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -23*g. Let l(f) = -8*f + 11. Let i(m) = -3*m + 4. Let z(y) = -11*i(y) + 4*l(y). Give u(z(x)).\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a**2 + a + 28. Let p(r) = r**2 + r + 1. Let c(j) = -2*p(j) + x(j). Let t be c(-5). Solve t*k + 4*k + 10 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 5*x + 6 = -4*l, 0 = -3*l + x + 98. What is the derivative of 26*f**4 - 64 + l*f**4 - 2*f**3 + 58*f**4 wrt f?\nAnswer: 460*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 27590000 to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -24.3 + 23.3. Which is the nearest to -1\/5? (a) 5 (b) 1\/5 (c) q (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 - -8. Suppose 0 = -5*s - 5*j + 85, -s + 3*j = -10 - 27. What is the lowest common multiple of s and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**3 + 5*u**2 + 4*u + 3. Let d be i(-4). Suppose 0 = -y - d*y + 20, -3*z - 5*y + 49 = 0. Solve 5*q - z = -33 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 76070 divided by 15214\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -253 - -6831. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -2*v - 1. Suppose 3*y - 5*y + 6 = 0. Let u(b) = b + 1. Let x(s) = -5*s - 5. Let j(t) = -11*u(t) - 2*x(t). Let q = -5 + 0. Give q*j(k) + y*w(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b - 58 + 18 = 0. Let r(o) = -o**3 - 7*o**2 - 8*o - 8. Let f(w) = -w**3 + w**2 - 6. Let d be f(0). Let n be r(d). Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 - -2) + (16 - 13) + -19.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/18*-2 + (-461824)\/396. Let r = u - -2036. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 195 + -197. Let i(p) be the third derivative of p**5\/12 + p**3\/3 - 14*p**2. Let s(w) be the first derivative of i(w). Determine s(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -470, -490, -512, -536, -562?\n\"Answer: -j**2 - 17*j - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-54)\/81*(-1)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-252)\/(-144) - 17\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-16)\/(-36))\/(4\/18). Let n(j) = -j**3 + 2*j**2 + j - 3. Let t be n(p). Is 2\/23 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -25*w - 10 + 26*w + 2. Give o(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.01, 1, -2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 364 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(300) + (sqrt(300)*-3 + sqrt(300))**2 + sqrt(3) + -2*sqrt(21)\/sqrt(7).\nAnswer: 9*sqrt(3) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -10*f**2 + 38*f**2 + 0*f**2 as k*f**2 + u + d*f and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -18.8 (b) -2\/9 (c) 0.5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1017 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve z - 5*l + 9 = 0, 70*z - 5*l = 72*z - 27 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) be the third derivative of 0 - 1\/12*o**4 + 0*o - 30*o**2 + 0*o**3. Let g(r) = 26*r**2. Give g(l(h)).\nAnswer: 104*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 3:43 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fffmfffffmmmmf. Give prob of sequence ff.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 161478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 3 (b) -0.07 (c) 8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.25 - 0.23. Let k = x - 0.02. What is the nearest to 0.1 in k, 3, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 54*n - 62*n = 161 + 295 for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1216) + 2 + 0.\nAnswer: 2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1135531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*r**2\/11 + 9522*r\/11 + 251628\/11.\nAnswer: -6*(r - 1613)*(r + 26)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.3 (b) 3745 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the third derivative of -3*u**4\/8 + u**3\/3 + 2*u**2. What are the prime factors of m(-4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 653 - 751.1. Let j = 98 + i. Let q = 5.1 - 0.1. Which is the nearest to -1? (a) 0.5 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1514 + 1522. Solve -12 = j*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -3437, -6871, -10305?\n\"Answer: -3434*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 42100, 39780, 37460, 35140, 32820, 30500?\n\"Answer: -2320*q + 44420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 10542105 + 24?\nAnswer: 10542133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -31*w**4 + 4*w - 15*w + 10*w - 6*w**4 - 22*w**2 wrt w?\nAnswer: -888*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -2 - -47 - (-23 - -33). Suppose -3*c - 2 - 1 = 0, j - 5*c - 705 = 0. Suppose 31*q = u*q - j. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -5*f + 41. Let k be z(8). Let j be 9\/((-3)\/k) + 3 + 4. Solve -j*v + 7 = -5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve g + 3 - 6 = -t, 0 = -52*t + 59*t - 52 + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-5)\/(-3) + (-3)\/(-9) - 0. Let x be 1 + 0 + 16 + -1. What is the highest common divisor of q and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000008856 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 + (0 - 2) - (-28 - -15). Suppose -m*p + 207 = -p. What is the remainder when 90 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k + 5, -4*z + 2*z - 2*k + 996 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the first derivative of -5*l**2\/2 + 1712. Give j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6 - 20\/3 - 4\/(-6). Suppose n + o - 121 = l, -5*n + 2*o + 619 = -0*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 287097*q**5 + q**2 + 54830 wrt q.\nAnswer: 17225820*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -228 (base 9) to base 7.\nAnswer: -356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**3 + 8*i**2 + 6*i - 6. Let a = -153 - -146. Give b(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 45654 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 3 = x - 6*x, 4*x = -2*w - 6. Suppose w*z = -16 - 32. Let a(b) = -2*b**3 + 2*b - 4. Let d be a(2). Is z at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 8 - 22 = 0. Let f(h) = -45*h - 659. Let n(x) = -14*x - 206. Let j(l) = -5*f(l) + 16*n(l). Give j(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 359006 is divided by 129.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -37 + 43 - (5 - (-8 + 15))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (4 + -6)*26\/4. Let s = l - -21. Calculate the lowest common multiple of s and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -31*f + 28*f. Suppose -f*k - 35 = -11. Suppose -4*a = -m - 0*a - 11, -4*m - 2*a + 10 = 0. Which is smaller: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 125*x - 122*x = 1725. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 4 + 0 = 0. Suppose 1 = u - 1. Let n be u\/((-4)\/(-2)) + -1. Sort 5, i, n.\nAnswer: n, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -339248 + 4?\nAnswer: -339244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 195 minutes before 4:15 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(1*(-3)\/(-27)). Let l(t) = -t - 10. Let h be l(f). Suppose 0 = 53*g - 49*g - 12. Which is greater: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -51145 times 1\nAnswer: -51145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 + -17. Let g = 4 - q. Suppose 3*z = -3*t - 8412, 3*t + g*z = 5*z - 8380. What is t rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32 - 7 - (46 - 33).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 22.5 + -23. Which is the nearest to 0? (a) -0.2 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.5? (a) 3 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 6*l**2 + 28*l - 51. Is w(28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -103\/50 and 33\/3628.\nAnswer: 90700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 19, 0, -5 in descending order.\nAnswer: 19, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 210 and 186585.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the first derivative of -d**4\/42 + d**2\/7 + 4*d\/21 - 12. Let o(w) = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -44123 (base 5) to base 6.\nAnswer: -22022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/13 (b) -4.1 (c) 4 (d) -11 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**2 + 62. Let h(v) = -2*v. What is i(h(o))?\nAnswer: -4*o**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-y + 3*y + y)*(-2*y + 3*y - 3*y) - 3*y - 6*y**2 + 8*y**2 - 1 + 3 as f*y + d*y**2 + m and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.117347 centuries to decades.\nAnswer: 31.17347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -81*w**3 + 2626 - w - 2448 + 82*w**3 to t*w + y*w**2 + j*w**3 + k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 109 - 2 = -3*f, -2*y = 2*f - 70. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 14.75 - 14.65. Which is the closest to y? (a) -0.2 (b) 1.1 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 4079055, 8158184, 12237315, 16316448, 20395583, 24474720, 28553859?\n\"Answer: h**2 + 4079126*h - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-836)\/(-30) + 800\/(-80) + 4\/30?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1a6 (base 16) to base 14.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**3 - 5*q**2 - 107*q - 17. What is t(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 767 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 240 + -177. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 11*b**2 - 11*b + 129. Let p(m) = 15*m**2 - 11*m + 130. Let k(g) = -3*p(g) + 4*t(g). Let k(u) = 0. Calculate u.\nAnswer: -18, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 112222111211 (base 3) in base 5?\nAnswer: 33414024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-132)\/308 - 1116\/(-7161).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (2082\/(-6940))\/((-6)\/(-64))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 362479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 4*b**4 + 1192724*b**3 - 17891656*b**2 + 31012384*b = 0.\nAnswer: -298196, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 216*t + 23819 + 13960 - 7983 = -357*t for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -43*y - 357 + 13945. Calculate the remainder when y is divided by 107.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-25 - 27 + 1)*(-32*s + 2*s + 3*s**2 - 22 + 24).\nAnswer: -153*s**2 + 1530*s - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1008373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 52 = 5*r. Suppose -f + 2*f = -5. Let y = r - f. What is the highest common divisor of y and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t**2. Give d(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 65\/22 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(1\/5))**(-2\/81)\/(w*w\/w**(-5))**(-1\/10) assuming w is positive.\nAnswer: w**(563\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2174 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bpv when three letters picked without replacement from {a: 5, v: 2, w: 1, b: 3, p: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -25 - -28. Let v(u) = -u**3 + 2*u**2 + 3*u + 4. Let l be v(3). Solve -n - 4 = y*w, 0*n - l = n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 - (-5 + (3 - -1)) - (11 + 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**3 + 17*n**2 + 12*n - 4. Let h be o(-16). Let a = h - 58. Suppose 2*j - 414 = -a*y, -4*y - 59 - 158 = -j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 4 = s. Suppose s*h - 1030 = -241. Suppose d + 907 = -h. What is d rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u**4 + 35886*u**3 + 753165*u**2 = 0. What is u?\nAnswer: -35865, -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3563*z**4 - 108*z**2 - 19*z + 155416141.\nAnswer: 14252*z**3 - 216*z - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor t**3 - 67142*t**2 + 268552*t.\nAnswer: t*(t - 67138)*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39789?\nAnswer: 3, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 + -5e15e7?\nAnswer: -5e15eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -4*h**2 + 27*h + 37. Suppose 0 = l + 2*g + 32 - 28, 0 = -4*l + g + 38. Give b(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/(-43) - (-238596)\/2537. What is the highest common factor of w and 1457?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3.5 (b) 4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 56*l - 8987897 + 8992041 for l.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.69 in -2\/5, -10, 0.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2290863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t*t\/t**(2\/17))\/t**(4\/5))\/((t*t**4)\/t)**(-2\/77))**(-35) assuming t is positive.\nAnswer: t**(-7764\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**3*f)\/(f**10\/f)*f**(1\/3)\/(f**(2\/17)*f))**(1\/3) assuming f is positive.\nAnswer: f**(-295\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5332.96709 + 5333. Let m = -306.966 + 307. Let y = m - g. Round y to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -24124 + 24124. Let s(y) be the first derivative of -y**3\/3 - y**2\/2 + 4*y + 1. Give s(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a factor of 300562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110 = -7*d + 894. Suppose 37*p = 30*p + d. What is the lowest common multiple of 8 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*c**2 + 210*c**3 - 33 - 103*c**3 - 111*c**3 + c**2 to l*c + r*c**3 + z + h*c**2 and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d - 73 = -31. Suppose 20*n = 17*n + d. Solve 5*s = n*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3)\/6 - 65\/(-10). Suppose 5*i = -2*t + k, -5*t = 5*i - 6*i + 12. Factor 2\/7*u**i + 2\/7*u - 4\/7.\nAnswer: 2*(u - 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54 is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -3*l**3 - 3*l + 8496*l**2 - 8500*l**2 + 476 + 3*l in the form v*l + r*l**2 + a*l**3 + j and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -39*a**3 + 23*a**3 + 14*a**3 + 24*a**2 - 14*a - 25. Let k be l(11). Calculate the greatest common factor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 337566 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3204671.\nAnswer: 521, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -1390516*a**2. Let w(x) = x. Determine h(w(b)).\nAnswer: -1390516*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**3 + m + 34. Suppose -r + 13 = -5. Calculate the remainder when t(0) is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1204437223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (15 + -7 - -3) + -18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**2 - 9*l - 9. Suppose -3*o + 17 = -46. Suppose 32 = 3*q - w - o, 3*q + 3*w - 45 = 0. What is the remainder when q is divided by r(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 10 = 3*c, 3*o + 4*c = -11. Let v be (1\/o)\/((-6)\/(-18)). Let n be (1\/1)\/(-1) - (-3)\/v. Solve 0 = n*j - j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 684*f - 680*f - 81 = -13*h - 7 - 8, 2*h = h - 2 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + 22 + (-14 - (-27)\/3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 6131, 5, 51, -39 in increasing order.\nAnswer: -39, -4, 5, 51, 6131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 734 + -657. Calculate the smallest common multiple of 22 and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/(1*(-2)\/(-4)). Suppose 3*m - p - 6 = 0. Find the third derivative of w**2 + 7*w**3 + m*w**3 + 6*w**2 - 2*w**3 wrt w.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -2*z**3 - 4*z**2 - 2*z - 6. Let c be t(-3). Solve 7 + c = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 4, j: 1, e: 11, i: 1}. What is prob of sequence jmmi?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(136) - -1*(3*sqrt(136) - sqrt(136)))\/sqrt(8).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -13 (b) -7 (c) -2\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7.10000292 - -7.1. What is s rounded to seven dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 1 + 2)*(1 - 8 + 1)*(-1 + 2 + 0)*(2*l + 2*l - 2*l) in the form n*l + x and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 + -1308081?\nAnswer: -130807e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-63*j + 129*j - 64*j - 11)*(0 + 1 + 0) in the form u*j + w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 206666 + 4?\nAnswer: 210003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 108*i**2 + 2*i - 2*i - 373*i**2.\nAnswer: -265*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:24 PM and 10:55 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = -4*b + 433, -280 = -4*b + 4*v + 108. Let r = b + -101. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 40, 67, 118, 205, 340, 535, 802, 1153?\n\"Answer: 2*q**3 + 13*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/3, -1\/4, -3, -3\/8 in descending order.\nAnswer: -1\/4, -3\/8, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 56078 and 72061.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 * 921666.\nAnswer: 4608330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -q**3\/8 + 3545*q**2\/8 + 3553*q = 0. Calculate q.\nAnswer: -8, 0, 3553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is a in 3*a**2\/2 - 12558*a + 5070465\/2 = 0?\nAnswer: 207, 8165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = 5*o - 6, -4*o - 4*b = 8 - 0. Suppose -3*f + 8 = f. Suppose 3*a - f = o*a. Solve -a = -4*c + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*d - 0*d - 9, 0 = 5*z + 2*d + 22 - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -10101111001010000011010 (base 2) in base 14?\nAnswer: -a95958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes after 11:11 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5\/22 - -21\/44. Which is the third smallest value? (a) 1 (b) m (c) 4\/13 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -16193 bigger than -16195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = z - 0*z. Suppose 2*s - z*n = 4*s - 14, -5*n - 5 = -3*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = 5*q + 29, -q = 2 + 3. Let i be 9\/15*m*5. Is i < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sxsuxxxxscxx. Give prob of picking 1 c and 2 s.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -4*t + 2*p + 56, -5*t - 5*p + 130 = 0. Calculate the least common multiple of 30 and t.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4543128613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 5*y - 2560 = 0. Calculate the common denominator of 65\/22 and ((-4)\/(y\/36))\/((-3)\/62).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 597078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -43 (base 9) in base 7?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -56\/159695 and -63\/5.\nAnswer: 159695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -684*s*y**3 + 5*s*y**2 - 8029*s with respect to y.\nAnswer: -2052*s*y**2 + 10*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 88342488 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 243995 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 14*v. Let g be f(6). Let h be (6 + -5)*-3 - -3. Suppose h*i + g = 2*i. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 7, c: 8, f: 5}. Give prob of picking 3 c and 1 f.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*o + 2*o - 3*o**3 + 5*o**3 to d*o**3 + m*o**2 + y*o + l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 29354.2988 rounded to 0 decimal places?\nAnswer: 29354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -81.929 - -82. Let k = 88.071 - n. Let o = k + -89.8. Round o to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.7 (b) 695 (c) -0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 44307 - 9?\nAnswer: 44298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 235 - 84. What are the prime factors of g?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -24*o - 182. Let h be m(-8). Suppose 86 - 226 = -h*d. Solve -4*u + 4 = -4*n, -2*n + u - 3*u = d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -116*u - 1401 - 2256 + 293 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 5*u = -3*u + 14, 0 = w + 2*u - 4. Suppose -3*s = -0*s - w. Let c be (-1)\/2 + 20\/8. Solve -s*p + 6*l - 1 = l, 2*l = c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27825037 to the power of 1\/3, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b + 4. Let c be o(-10). Let u = 4 + -9. Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1556190970 is divided by 266.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*r**2 - 60*r**2 - 217*r**2 + r**2 to o*r**2 + b + q*r and give o.\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -162*i - 3. Let b be s(5). Let m = 1672 + b. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -15\/4124?\nAnswer: -15\/4124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, 0, -3 in decreasing order.\nAnswer: 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 407437 - 170666. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 = 3*z - 0*z. Let m(g) = g**3 + 16*g**2 + 14*g - 1. Calculate the smallest common multiple of m(-15) and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3957 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-2)\/(-4))\/((-1)\/(-10)). Suppose -2*h = -6*h - 3*l + 66, -2*h = l - 32. Let p = s + h. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 33, -0.1 in decreasing order.\nAnswer: 33, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**2 + 90*x. Let h(i) = 52495*i. Calculate h(m(p)).\nAnswer: -52495*p**2 + 4724550*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1249140404?\nAnswer: 2, 312285101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 11*c**3 - c**2 - 1. Let q be b(3). Is q + 3 + 0 + -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1973\/11 - -9821\/55. Let s = -10 - -5. Which is the nearest to 2\/7? (a) i (b) 2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 142120 and 8934332?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 328646?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/164 and -95\/26?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(1728) - sqrt(1728)*2)*-5)\/(3*sqrt(324)*3).\nAnswer: -1 + 20*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 7 + 1011\/(-15453)*107. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oox when three letters picked without replacement from {o: 4, n: 1, e: 2, x: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 198390, 793580, 1785564, 3174342, 4959914, 7142280?\n\"Answer: 198397*m**2 - m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (2688\/540 + -5)*5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-42))\/(3105\/2070*(-5)\/(-3))\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -488*s + 491*s - 24 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -3.06 times 66.078\nAnswer: -202.19868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 256, 516, 776, 1036, 1296?\nAnswer: 1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 11770380 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1716 is divided by 566?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1398443847*r*t**5 - 67*r*t**2 + 3589434*r wrt t.\nAnswer: 83906630820*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y**4 + 46*y**3 - 336*y**2 + 640*y + 1024 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*f + f - 420. Suppose 4*d = -5*s + d + 159, 2*s - f = -3*d. Let x = s - 25. What is the highest common divisor of x and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t + c + 14 = 0, 35*t = 39*t + 3*c - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 0*p - z + 20567961 = 0, 0 = 2*p - 2*z + 8227186. Is p\/(-145) + (-6)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -81*v**3 + 50*v**3 - 533*v**3 - 606*v**3 - 393*v**3.\nAnswer: -1563*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -42 + 25. Let v = b + 53. Let h = -35.999886 + v. What is h rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -6*m - 3*x - 5, -m + 3*x = -10. Let l = m - 1. Is -7*(l + (-2 - -1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3514833 and 57?\nAnswer: 66781827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -143\/230580 and -68\/231.\nAnswer: 2536380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (-16 - (-11 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(7)*-2*-3.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -77494*o**2 + 338*o - 1368. Let l be z(4). Round l to the nearest 10000.\nAnswer: -1240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 11*s**2 + 72*s. Let m(f) = 25*f**2 + 146*f - 1. Calculate 4*m(b) - 9*q(b).\nAnswer: b**2 - 64*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4.2 + 22. Let q = 3 + -17. Let a = k + q. Round a to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*z = 50*z + 10. Is (92\/7)\/(z\/35*-10) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1, -4700 in decreasing order.\nAnswer: -1, -4, -4700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 4*v - 24 = -5*f, 35 = 5*f - 5*v. Suppose f*d = s + 290 - 41, 0 = d - 5*s - 67. Is d a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.106 - 0.006. Is w smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -3 + ((1*sqrt(36))\/sqrt(6))\/((sqrt(18)\/sqrt(2))\/sqrt(3)) + -3.\nAnswer: -8 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -23*q**3 + 3*q - 23. Let x(z) = 8*z**3 - z + 8. What is -6*w(h) - 17*x(h)?\nAnswer: 2*h**3 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 + 3. Suppose -67*r + 252 = 17*r. Solve r = i*o - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((216\/(-16))\/(-9))\/((-10)\/4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 78934048 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -4042 divided by 1?\nAnswer: -4042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5\/((2\/(-4))\/1). Let x = 30 + s. Suppose -3*v = 5*d - 3281, -5*d + 1127 = v + x. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(3) - sqrt(3))*-5 - sqrt(3)) + 5 + -4.\nAnswer: 1 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 130 + -14262?\nAnswer: -14132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**3 - 14*t**2 + 32*t - 33. Let q be y(-16). What is the remainder when 670 is divided by 97\/3 + 44\/q + 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 84 or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**2\/5 + 1396*h + 1218010.\nAnswer: 2*(h + 1745)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 4*o**2 + 3. Let u = 1 - -1. Let b(n) = -2 - u - 5*n + 1. Let i be b(-2). Let p(c) = -9*c**2 - 7. Calculate i*t(m) + 3*p(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {v: 2, l: 4, a: 1, y: 3, x: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 135*z + 0*z**3 - 135*z - 7*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 340*g - 3879 = -1119 + 1320 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3869 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 7*g**3 - 4*g**2 + 2*g - 7. List the prime factors of o(4).\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.7, -3\/19, 1\/4.\nAnswer: -3\/19, 1\/4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 171073280.\nAnswer: 2, 5, 7, 61, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, e: 1, p: 4}. What is prob of picking 2 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1*15\/2)\/((-3)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -50 times -0.114498\nAnswer: 5.7249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**2\/7 - 102*x\/7 - 1080\/7.\nAnswer: -2*(x + 15)*(x + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5703018089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-4)\/10)\/(75\/(-750)). Which is the nearest to 0? (a) 0 (b) -3\/5 (c) o (d) 96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1185*l**4 + 20*l**3 + 2*l**2 - l - 227 - 22*l**3 + 1183*l**4 to the form v*l**3 + s*l**4 + r + f*l + x*l**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lmimagni. What is prob of picking 1 n, 1 i, and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 34 + -716.5829.\nAnswer: -682.5829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 129917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 562782?\nAnswer: 2, 3, 11, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 113608240?\nAnswer: 2, 5, 991, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 40, 47, 62, 91, 140?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 551 and 608.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the first derivative of -a**4\/10 - 2*a**3\/5 - 3*a**2\/5 - 2*a\/5 + 12. Factor z(g).\nAnswer: -2*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 36*(-38)\/3192*28.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 4 + 20 = 0. Suppose -m = o - 5*u, -3*u - 3 = 3*o + 3. What is the closest to 2 in o, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 2*u = 0, -4*q = -0*q - 4*u. Suppose 2*x + 4 = q, 4*x = 5*j - 22 - 151. Let p be (-3)\/3*-9 - -2. What is the highest common factor of p and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26 divided by -35.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7623 - 7571. What is the remainder when i is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.02 + 1. Let h = v - -0.42. Let r = -139 + 691\/5. What is the third smallest value in h, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7781331 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 370 = -2*d, 0 = -3*y + d + d - 278. Let b = 15 + 5. Calculate the common denominator of 2\/4 + y\/b and -23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o - 1 - 3*o - 2. Let q be b(-4). Suppose -5*k + 32 = -q. What is the greatest common factor of 27 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -14.047586 * -1.2.\nAnswer: 16.8571032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 531 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -5*o - 10. Let l be d(-3). Solve 2*y = l*b - 35, -4*y - 17 - 18 = -3*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19200 = y + 3*y. Round y to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i = -c - 2, c - 3*i - 18 = -6*i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6384 and 572992.\nAnswer: 32660544","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let g be ((-356)\/6)\/(2\/(-3)). Let m = g + -39. Suppose 0 = -5*o - 0*o + m. What is the lowest common multiple of 4 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0060243094 to five decimal places.\nAnswer: -0.00602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -67*c**5 + 104*c**2 - 104*c**2 + (0 + 0 + c**3)*(-c**2 + c**2 - c**2) + 3*c**5 - c**5 + 0*c**5 + 0*c**5 + 5*c**5 - 4*c**5.\nAnswer: -65*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/254 and 59\/3429.\nAnswer: 6858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 7, k: 6, c: 1, d: 6}. Give prob of picking 3 f and 1 c.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 532.261 hours to seconds.\nAnswer: 1916139.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, -0.05, -1, 0.2, 3.6, 49 in descending order.\nAnswer: 49, 3.6, 0.2, -0.05, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*d + 15*d - 33 = 0. Suppose -21 = -d*r + 8*r. Let y(p) = 19*p - 12. Is 9 a factor of y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*k + 4*c = 8*k + 4*k - 34, 5*k - 22 = 3*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-31)\/310*(-678 + (28 - 60))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -20*l**6 + l**5 + 19971*l**3 + 5625392*l**2.\nAnswer: -2400*l**3 + 60*l**2 + 119826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 187*o**3 + 8*o**2 + 6*o. What is g(-1)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 + 3. Sort 1\/4, l, -0.1 in descending order.\nAnswer: l, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.4 and -0.020856041.\nAnswer: -0.420856041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2352) - (sqrt(2352) + (1*sqrt(2352)*-1 - sqrt(2352))) - (sqrt(2352) + 2 - sqrt(2352))*6) + sqrt(2352) + 4 + 5 + -2)**2.\nAnswer: -840*sqrt(3) + 21193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 57359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/(6\/(-9) + 1). Suppose -t*j = 4*d - 206, 2*d + 374 = 5*j + d. Let f = -47 + j. What is the highest common divisor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -772*c + 772*c + 23*c**3.\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l\/(l*l**(1\/11)))\/l)\/l**(1\/4))**(6\/13)*((l*l\/(l\/(l\/(l**(-1)*l)*l)))\/(l*(l*(l\/(l*l*l\/(l\/(l*(l**(-1\/4)*l)\/l))))\/l)\/l))**(2\/23) assuming l is positive.\nAnswer: l**(-677\/3289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -3*x**2 + 4*x**2 + 4 - 3*x + 2*x + 3*x. Let p(s) = 1. Determine -2*p(v) + r(v).\nAnswer: v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 11025957853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.6583 + 268.6417. Let a = 1.3 - k. Let x = a - -269.13. Round x to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2207 + 1007 + 841)*(-1 + 1 + 2*j) in the form d + y*j and give y.\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - 2)*4\/8. Let l(m) = 3*m**2 + 6*m**2 + 1 + 4*m + 1. Calculate the remainder when 9 is divided by l(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**3 - 10*c**2 + 314*c - 2. Let j(y) = 6*y**3 + 55*y**2 - 1568*y + 11. Give 11*i(v) + 2*j(v).\nAnswer: v**3 + 318*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-82 + 76*y - 73*y + 5)*(-2 + 2 - 1) + 5*y - 3*y - 3*y.\nAnswer: -4*y + 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-141)\/105 - (-4 - (-76)\/20)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 24*m**2 - 2*m - 3. Is n(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 59064*c - 885966. Give a(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.1 + -0.18. Let u = 0.19 + r. Let h = u - 0.51. Which is the biggest value? (a) -1\/8 (b) 0.04 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k - 3*k = 4*u - 40, 6 = k + 5*u. Let p = k + 22. What is the remainder when 113 is divided by p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 49087177 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 167800000 rounded to the nearest 1000000?\nAnswer: 168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let 2*l**4\/3 - 52*l**3\/3 + 128*l**2\/3 + 1024*l = 0. Calculate l.\nAnswer: -6, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -5 + 5 + v. Let n(q) be the first derivative of 56*q**3\/3 - 4144. What is n(z(c))?\nAnswer: 56*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be 272\/(-120) + (-124)\/(-465). Let m = 9 - 5. Let k(l) = -l**2 + 8*l + 14. Let r be k(10). Put d, m, r, -5 in descending order.\nAnswer: m, d, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 127 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 52485.56kg?\nAnswer: 52485560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -15\/7 and 55\/162374?\nAnswer: 1136618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 81*m - 106*m + 53*m = -924 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 250530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 0 = y - 1, -2*y = i - 2. Suppose 5*w + 4*r = 66, -4*w + 3*w + 3*r - 2 = i. Suppose w*o + 581 - 111 = 0. Are -47 and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6, 7, 10, 15, 22?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a + 3*a = 4*w + 28, 2*a - 20 = 4*w. Suppose -2*z + 4*n = 6*n, -5*n - a = z. Put -2, 16, z in decreasing order.\nAnswer: 16, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-68)\/(-6))\/(56\/84). What is the second biggest value in 0.2, -2, s, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -31*s**2 - 2821*s - 104. Determine v(-91).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 + 20 - -4) + -3. Suppose -5*m + 215 = -0*g + 3*g, m = 3*g + 25. Calculate the greatest common factor of m and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -23*b + 12*b + 75*b in the form v + s*b and give s.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are -43\/15 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 37 and 851?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4 + (-7 - 16\/(-4)). Let p be (2 - 7)*4\/(-10). Suppose -3 = -2*i + 3*h, -p*i = -2*h - 3 + 1. Solve i = b - 1 - t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1232)\/(-42))\/(-22)*(570\/160)\/((-15)\/(-20)).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -c - 7. Let b be (c\/(-2))\/(6 + -4). Suppose v + 6 = b*v. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4 - 23?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 + 16. Let l(u) = -u**2 + 5*u + 25. Let s be l(g). Let a be (-21)\/(-28)*4*s. Solve -k + 3*k - a*j + 13 = 0, 2*k + j = 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 47370*r - 11739*r - 12149*r - 11738*r - 11742*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3334\/17 - -196. Let r = 6 - -2. Suppose 3*g + r = -g. Which is the nearest to -2? (a) g (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*g - 27 - 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4482\/181 + 18109\/724. Let -15\/8*a**2 + 29\/8*a + v = 0. Calculate a.\nAnswer: -1\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -579857788 and -2.\nAnswer: 1159715576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:15 AM and 4:51 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is (-7 + (2 - 3077))\/((-8)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 2, 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3797*p**2 + 13*p**4 + 33*p - 3797*p**2 wrt p?\nAnswer: 156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5\/3 - 29\/12. Let o = -5 - -3. Is w greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n\/((n\/(n*n*n**8*n))\/n)))\/(n\/(n\/n**(-15))*n*n)*n**(6\/7)\/(n\/n**5) assuming n is positive.\nAnswer: n**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 124 divide 549009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Subtract 115404 from 0.\nAnswer: -115404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 6 = -10. Solve -x - q*k - 3 = 0, -k + 2 = 4*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15813732 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -6046.7+10290\nAnswer: 4243.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 2*j**3 + 11*j**2 + 25*j + 3. Let z(c) = -3*c**3 - 16*c**2 - 38*c - 5. Let p(g) = -8*w(g) - 5*z(g). Give p(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the first derivative of -1\/20*a**5 - 1\/2*a**3 - 1\/4*a**4 - 10 + 0*a - 3*a**2. Let m(s) be the second derivative of v(s). Factor m(w).\nAnswer: -3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*c - 4*c + z = 182, -4*z - 136 = -4*c. Calculate the lowest common multiple of 20 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6 + 415205610?\nAnswer: 415205601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 - 11a238d?\nAnswer: -11a2391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 77.51 + -89.5116. Let i = -12 - w. Round i to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-170520)\/31668)\/(4\/26)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 27568, 220636, 744744, 1765420, 3448192?\nAnswer: 5958588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 198*l**3 + 9*l**2 - 14*l - 11. Calculate the remainder when t(3) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*y - 13*y = -990. What is the highest common factor of 720 and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**2 - 1. Let q be s(-1). Let t be (1\/1)\/(q\/10). Let b be -5*(-2)\/(-4)*-2. Sort t, b, 0 in decreasing order.\nAnswer: b, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4590 = 198*g - 453*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/(-15) + 561\/18)*20\/45?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1089\/8 + 3\/8*n**2 - 93\/2*n.\nAnswer: 3*(n - 121)*(n - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1988 a factor of 327554808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**3\/5 - 2*f**2\/5 - 3*f\/5 + 2\/5.\nAnswer: (f - 1)*(f + 1)*(3*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k - 6*k + 5*k)*(185 + 28 + 33 + 200 - 59).\nAnswer: 387*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1069.96 minus 32807582.8?\nAnswer: -32806512.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 3, f: 4, n: 2, m: 1, i: 2, p: 3}. What is prob of sequence hfif?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -4*t - 155. Let i(p) = 4*p + 174. Determine 3*f(w) + 2*i(w).\nAnswer: -4*w - 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 27203652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/4 in 5, 412, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -13? (a) -35 (b) -0.123 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -17174379.29999955 + 17174380. Let p = i - 0.7. What is p rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from srxwansxsrnw?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = i**2 + 6*i - 33. Let d be n(-13). Find the second derivative of -d*j**4 - 110*j**4 + 50*j + 99*j**4 wrt j.\nAnswer: -828*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*q = 20*q - 99. Calculate the remainder when 16 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 79115393 and 356.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6644371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g - 10*i - 305 = 0, -12677*i = -4*g - 12683*i - 186 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.59 - -0.09. Let l = -0.117 - -17.517. Let z = 17 - l. Which is the nearest to 1? (a) z (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1204\/(-392) - 9*6\/(-18).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/3, 1, -3486?\nAnswer: -3486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 5077342, 10154453, 15231564, 20308675?\n\"Answer: 5077111*j + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 10*i**2 - 1185*i + 518. Give b(122).\nAnswer: 4788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 times -1078?\nAnswer: 323.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be 8\/20 + 8\/5. Suppose 12 = -j*w + 3*w. What is the smallest common multiple of w and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 157636656 and 11940?\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be -9 + (-4 - 60\/(-6)) + 0. Let r = -8 + 11. Let t = -5 + 4.5. Which is the third biggest value? (a) o (b) -5 (c) r (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -663*q + 9617 - 2000 = -14246 - 3994 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6.497 - -6.79. Let g = f - -0.007. Which is the nearest to 0.2? (a) -2 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6 - ((-2)\/(-2) - -1). Suppose v*p + 31 = 19. Which is smaller: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 35 - 39.2. Let o = v - 0.8. Which is the third biggest value? (a) -4 (b) 1\/6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 4.3 and 27.52.\nAnswer: 118.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the first derivative of 3190*j**3\/3 - 7916*j - 1357. Differentiate g(o) with respect to o.\nAnswer: 6380*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-176)\/6*(-16)\/36*(-3780)\/1120.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 2, j: 2, k: 9, b: 4, r: 1, o: 2}. Give prob of sequence lbjb.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -39189904*h - 25379040 with respect to h.\nAnswer: -39189904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4518179932?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-207655)\/594660 + 30\/66 and 67\/340.\nAnswer: 54060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 134 = 3*d - 140, 4*g = 3*d - 8. Factor 13\/2*y**2 + y + d.\nAnswer: y*(13*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x**5\/5 + 82*x**4\/5 + 2482*x**3\/5 - 2562*x**2\/5 = 0 for x.\nAnswer: -21, 0, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1876 is divided by 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -7*l + 10. Let o(c) = 6*c - 9. Let t(i) = i + 4. Let d be t(1). Calculate d*m(w) + 6*o(w).\nAnswer: w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 159*x - 158*x = 23. Let t(i) = -x - 6*i**2 - 28 + 51. Let k(f) = -20*f. Calculate k(t(u)).\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -529*r + 15930. What is the hundreds digit of l(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0 + 1 + 1 - (-35 + 20). Suppose -4*f = f + 2*d + q, 0 = 4*d - 16. Which is the closest to -1\/3? (a) 1\/6 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-504)\/594)\/(100\/(-550)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2\/5, -5191, -0.02, -2, -24, 1?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 2.6, 0.1, 473\/5, 0.5.\nAnswer: 0.1, 0.5, 2.6, 473\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhhhhhh. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 36208867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -224*r = 3126 + 10 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/(-36) + 2765\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 2 + 5 + sqrt(11) + (sqrt(110)\/sqrt(10) + -1)**2 + 3.\nAnswer: -sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and 34\/63 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 654 * -0.063\nAnswer: -41.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 142782 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the second derivative of 7*l**3\/6 + 2*l. Let w(i) be the second derivative of -2*i + 0*i**2 - 1\/6*i**3 + 0. Give w(a(m)).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1150 (base 15) to base 11\nAnswer: 2841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2.1 or 0.517?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f**2 - 4. Let c be i(0). Let h = -3 + c. Let k(a) = -7*a + 4. Is k(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 321169409311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**2 + 386*l + 2761. Give h(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 16301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -645 - -0.7?\nAnswer: -644.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11010110 + 100?\nAnswer: -11010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 9*r**3 + r**2 - 1. Let t be y(-1). Let l(f) = f + 13. Let b be l(t). Suppose b*c = c + 60. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 4 + 3 - 5*f)*(1 + 1 - 3) + 6*f - f - f.\nAnswer: 9*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 43 + -31. Suppose -2 = -2*v + l. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 1 + 1 - 5 - r. Suppose 4*b + 92 = 7*k - 5*k, 4*k - 3*b = 169. Let m be (k\/(-15))\/(4\/6 - 0). Give c(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1515 + 505. What is the common denominator of 4\/18 + j\/(-396) and 151\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -592524 divided by 2.\nAnswer: -296262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 526 and 25511?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2346 - -2347. Which is the fourth biggest value? (a) k (b) 0 (c) 15 (d) -2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 3 - 2)*(0*h**2 + h**2 + h**2) - 5*h**2 + 4*h - 4*h + (-1 + 1 - 2)*(2 - 3 - 2*h**2 + 3*h**2) in the form x + t*h + b*h**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k**2. Let r(l) = 2359*l. Calculate p(r(m)).\nAnswer: -5564881*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 210*b**2 - 1 + 113*b**2 - 3*b**2 to the form m*b + p*b**2 + l and give p.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-49 + 55)\/(12\/(-6) + 5))\/(-1)*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 7425.592 days in milliseconds?\nAnswer: 641571148800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1202\/21 + 1196\/21. What is the closest to 1 in 1\/3, u, -9, 0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 742c5 (base 13) to base 15.\nAnswer: 41ec9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 54685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 137*c + v = 132*c + 18, 0 = 2*c + v - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, 0, -13, 3519, 5, -3, -1 in increasing order.\nAnswer: -13, -3, -1, 0, 5, 18, 3519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssssasasaasassssas. Give prob of sequence aa.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -2*q - 3. Let k(r) = r - 16. Let l be k(10). Suppose -o - 2 + 5 = 0. Let j = o + l. What is n(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.4 - 3.4. Which is the nearest to 1? (a) -1\/8 (b) 2\/11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/12)\/((-432)\/128).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 636 - -16135?\nAnswer: 20104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -338*q - 579 - 457*q + 109 + 781*q in the form f + i*q and give f.\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 91*g - 1 = 3*m + 90*g, 5*m - 13 = -2*g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 2573172 divided by 21\nAnswer: 122532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the first derivative of 7*c**4\/16 + 5*c**3 + 18*c**2 + 16*c - 618. What is n in g(n) = 0?\nAnswer: -4, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/2, -1\/2, 7, 0.8, 38099?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w + 9. Let d be g(-8). Let v(z) = -7*z - 6. Let t(o) = -1. Let r(s) = 6*t(s) - v(s). What is r(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3\/5 (b) 338 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = -11 + 83. Let a = 20 + b. Let w(z) = z**2 + 3*z - 5. Calculate the remainder when w(-5) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4 + (-4)\/8*4. What is the derivative of 3 + 10 - 22*i**q - 21 + 2 wrt i?\nAnswer: -44*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(20)\/sqrt(8) + sqrt(10))\/(-4*sqrt(80) - sqrt(5)).\nAnswer: -3*sqrt(2)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 317 minutes after 3:30 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -15*v + 127. Solve v*l = -609 + 627 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 114 divided by 6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*c**2 - c**2 + c**2 + (-1 - 1 + 1)*(-5 + 5 - c**2) + 2*c - 3*c**2 - 2*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 177*s**2 + 124*s**2 + 28*s**2 - 97*s**2.\nAnswer: 232*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*t - 16, 2*m = 3*t + 7 + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 326176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 73748555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*w - 2*w = 8, -3*y - 4*w + 20 = 0. Suppose -3 = t - y*t. Let m be ((-21)\/6)\/(-7)*t*6. Solve v + 2*v + j + 12 = 0, 0 = 3*v + 4*j + m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1086970465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = -o + 4, 20 = -3*m - 0*m + 5*o. Which is the closest to -1\/4? (a) -4 (b) 1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1218 and 83901408?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kff when three letters picked without replacement from fkpf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(3\/8)*r\/r**0)**(8\/5))**(2\/97) assuming r is positive.\nAnswer: r**(22\/485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 18*d**2 + 1. Let n be x(1). Let k = 30 - n. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the second derivative of r**7\/360 + 9*r**4\/2 + 4*r - 2. Let k(j) be the third derivative of a(j). Let l(o) = -33*o**2. What is l(k(v))?\nAnswer: -1617*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 36384 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -11 - -12 - (-1 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 31213021000 - -10?\nAnswer: 31213021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the third derivative of p**4\/24 - 4*p**3\/3 - 18*p**2. Give i(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 3*v = -4, 2*v - 6*v = 5*t + 10. Let m(a) = a**3 + 2*a**2 + 1. Determine m(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10972\/49 + 224. Put y, 8, -2 in descending order.\nAnswer: 8, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*f + 409 = -5*j + 216, 0*j + 8 = -f - 4*j for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 436 and 912?\nAnswer: 99408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 3 = -6. Suppose 2*m = -3*k + s*m + 1, -2*k + 4*m - 16 = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.41*58.\nAnswer: -23.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**3 + 6*j**2 + 4*j - 16. Let s be r(7). Let a = -33 - s. Let y = 11 - -4. Solve b = -a*b - y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4784*b**4\/3 - 19118*b**3\/9 + 71768*b**2\/3 - 239470*b\/9 + 100\/3 = 0. What is b?\nAnswer: -5, 3\/2392, 5\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:30 AM and 11:04 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 6245087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1190212356?\nAnswer: 2, 3, 99184363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lllll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1682\/26071 + (-10 - (-304)\/31)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 218 = 3*k, -478 + 68 = -5*k - q. Suppose -601 = -5*u - k. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -10\/17, -2\/3, -16, -3?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(55)\/(sqrt(11) + sqrt(11)*2 + sqrt(11)))**2 - (6*sqrt(15)\/sqrt(3) - sqrt(5)).\nAnswer: -5*sqrt(5) + 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 165194934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 367 (base 15) in base 6?\nAnswer: 3324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(70) - (sqrt(70) - (sqrt(70) - ((sqrt(70) - -2*sqrt(70)) + sqrt(70))))*2)\/sqrt(10) - 4*(0 + sqrt(112))) + 3)**2 + -1.\nAnswer: -138*sqrt(7) + 3711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -2\/37, -16\/7, -0.1, -8, -0.5, -203?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 3\/5, -1\/5 in descending order.\nAnswer: 9, 3\/5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -5*q + 159, 11*c + q + 307 = 9*c. Is c\/(6 - 8) + 3 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6205, 49761, 167975, 398173, 777681, 1343825?\nAnswer: 2133931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-8)\/4 - (-7)\/2. Suppose -2*p + 2*q = -16, -p + 3*q - 8 = -6*p. Let d be ((-5)\/(-90))\/(p\/8). What is the third smallest value in d, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 77 and 4535839?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 101110 (base 2) to base 7\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 104409 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -234 - -227. Let i(w) = -5*w - 11. What is i(b)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16 + -30. Let f be 12\/42 + 32\/q. What is the remainder when 90\/25 - f\/5 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 13740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hxthlbththxhhhhht. Give prob of sequence ltx.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -6707.65638 to the nearest integer.\nAnswer: -6708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4.8 - 0.2. Let d = 3 + c. Put -2\/5, -0.2, d in decreasing order.\nAnswer: -0.2, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffxfffffffffffffff. What is prob of sequence xf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10 + 117*w - 1 - 122*w to the form t + x*w and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 - 37 = -n - 3*w, -158 = -5*n - w. Let a = 31 - 33. Let x be -1347*2\/(-21) + a\/7. Calculate the greatest common divisor of x and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 + -1. Suppose -b + 90 = f*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 3 (b) 0 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 50 times 2963.7\nAnswer: 148185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6665*o**2*w + 14*o**2 + 34107*o*w - o wrt o?\nAnswer: 13330*w + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2.258 + 2.398. Suppose 0 = 4*s + s + 15, 5*s + 35 = -4*v. Sort i, v, -3\/2.\nAnswer: v, -3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*j - 5*j + 12*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 4*b - 0*w + w, 0 = 5*w. Suppose -5*s - 25 = 0, s + 57 + 58 = b*o. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 282 divided by -3.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.58 + 0.18. Let v = 4 + -3.82. Sort i, v, 5 in descending order.\nAnswer: 5, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-14)\/(-7))\/(32\/(-6)). Let w be 1 + -5 + 1*-1. Let c be (-1)\/(-3)*1 + -1. What is the third biggest value in z, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3240 - -125. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 246 = 2*g - 3*r, g = -5*r - 38. Let j be -4 - -2 - g\/21. Factor 0 - j*n**2 + 0*n + 2\/7*n**3.\nAnswer: 2*n**2*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36410 is divided by 777?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.0268 and -13.5578.\nAnswer: -13.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the third derivative of -d**5\/160 - 5*d**4\/64 - 3*d**3\/8 + 54*d**2. Factor x(q).\nAnswer: -3*(q + 2)*(q + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4332.031 millennia to decades.\nAnswer: 433203.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 612847590.\nAnswer: 2, 3, 5, 113, 293, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3088629035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -1*26\/221 + (-29497)\/(-17).\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21471 (base 12) in base 4?\nAnswer: -22231111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -7*i**2 - 12*i + 7*i**2 + 4*i - 14*i**3 + 4*i as b*i**2 + p*i**3 + t + u*i and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from sssnnsynnbnynysss?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*w**2 + 9*w**2 + 2*w**2 + 5*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 244442892 to the nearest integer?\nAnswer: 15635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 33.07202 decades in millennia?\nAnswer: 0.3307202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5498572 is divided by 3761.\nAnswer: 3751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 + -3. Suppose 0 = -4*t - 2*x + 14, a = 3*t + 2*t - 5*x - 55. Let c be (-2)\/(-10) - 1\/5. Solve 3 = h + 2*d - t*d, 2*d + 4 = c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = -10 + 102. Let h be 2386\/18 + (-4)\/(-9). Let k = p + h. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -97 (b) -6 (c) 3\/5 (d) 1 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30039*f + 2*f**3 + 2*f**3 + f**3 - 2*f**3 - 30041*f.\nAnswer: 3*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2 - -2. Suppose -3*t + 46 + 35 = m. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16 + -24 + 25 + -142 - -33.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + -9 + -9 + 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q**2 - 8*q + 7. Let d(v) = v**2 - 5*v - 3. Let z(j) = j + 7. Let o be z(-1). Let s be d(o). Suppose s*y - 18 = -0. Give a(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -35*f**2 + 11. Let r(w) = 1775*w. Calculate o(r(d)).\nAnswer: -110271875*d**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 2, -1388, 4, 1965, -2 in descending order.\nAnswer: 1965, 4, 2, -1, -2, -1388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 13c41428 + 0?\nAnswer: 13c41428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1575 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-5)\/(-6) + 0 + (-2174148)\/(-648)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 n, and 1 w when three letters picked without replacement from yqgwnbggnnbwggnqbqb?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Solve -117*o + 481 = 1183 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14807 - 4142 = -332*o + 35831. Calculate the remainder when 2141 is divided by o.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-27*s + 20*s - 29*s)*(-s**3 - s**3 + 21 - 23) to the form d*s + o*s**2 + v + k*s**3 + q*s**4 and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 8 - 3870?\nAnswer: -3861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.368 + -2.268. Let z be 12\/27*12\/40. Which is the fourth biggest value? (a) -5\/2 (b) z (c) 5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 147176651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -104*n**2 - 102*n**2 + 305*n**2 - 97*n**2. Let q(v) = -270*v + 1. Determine q(x(p)).\nAnswer: -540*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -6*y - 8. Suppose 5*b - 4*b = n - 9, 2*n = 5*b + 3. What is the least common multiple of m(-5) and n?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s**2 + 87891*s - 37323738 = 0.\nAnswer: 431, 28866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 37513 (base 11) to base 10.\nAnswer: 53859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 + 1 = 6*b. Let t(y) = y**2 + 0*y**b + 113 - 7*y - 115. What is t(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -127 - -47 - 7174\/(-102).\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8*b - 6*b + 8*b)*(-6 + 1 + 4)*(3*b - b - b) to f*b**2 + i + c*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1099, 2177, 3263, 4363, 5483, 6629?\n\"Answer: f**3 - 2*f**2 + 1077*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 195395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 24, 76, 162, 282?\n\"Answer: 17*v**2 + v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -82 and -1.460321315.\nAnswer: -83.460321315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -2*d**3 + 12*d**2 - d + 9. Let q be s(5). Calculate the greatest common factor of q and 336.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 8\/3, -2\/15, 13, -0.3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o - u - 13 = -7*o, o + 11 = 5*u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 6, -0.2, -6, -0.5, 32 in ascending order.\nAnswer: -6, -5, -0.5, -0.2, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*s**3\/2 + 1735*s**2\/2 + 21375*s\/2 - 26071875\/2.\nAnswer: 5*(s - 103)*(s + 225)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 2, p: 1, a: 1, y: 9, h: 4}. What is prob of sequence qqy?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 12566452 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 - ((-39)\/7 + 124\/217). Suppose 0 = 3*k - 6*k + 24. Suppose b = -l*u + k, 4 = u - b - 4. Solve -3*y - u = 3*f - 28, -y + 3 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -6*u + 19. Let k(y) = -4*y + 7. Let b(g) = 7*g - 13. Let x(m) = 3*b(m) + 5*k(m). Determine 11*x(c) + 2*z(c).\nAnswer: -c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(12\/9*(-6)\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32503?\nAnswer: 32503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 165, 672, 1517, 2700, 4221, 6080, 8277?\n\"Answer: 169*b**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 7437, 66410, 226483, 538206, 1052129, 1818802, 2888775?\n\"Answer: 8425*l**3 - 2*l - 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = p**2 - 10*p + 12. Let n be j(10). What is the greatest common divisor of n and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve w = 5*p - 3, w = -34*p + 37*p - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*o*w**3 - 989*o*x + 2*o - 17802*w**3*x - 6*w**3 + 2071*w wrt x.\nAnswer: -989*o - 17802*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5195 - 3658. Let k = g - 977. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 m and 1 q when four letters picked without replacement from {m: 9, q: 5}.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 15546 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**3 - 5*b**2 + 4*b + 5. Let k(f) = -f**2 + f + 1. Let u(z) = -i(z) + 3*k(z). Let u(j) = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -397867, -1591342, -3580429, -6365128, -9945439, -14321362?\nAnswer: -19492897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 37*c*w*z**2 - 9*c*w*z - c*z**2 - c*z + 4*w*z**2 + 5*w*z - 4*z**2 + 6*z wrt z?\nAnswer: 74*c*w - 2*c + 8*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 66 + -64. Suppose 4*f = 4*h - 256, 2*h - 2*f = -c*h + 246. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.3 + 0.3. Let q = -3.8 - -0.8. Let n = q - -2.8. Which is the smallest value? (a) m (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2509 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -9\/2 + 4. Let s(d) = -d**3 - 6*d**2 + d + 2. Let t be s(-6). Suppose 56 = 25*j - 44. Which is the nearest to r? (a) j (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 3 - 6)*(-2*c**3 + 2*c**3 + 6*c**3).\nAnswer: -54*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i + 5*i = 2. Let p be (7 + -7)\/(0 - i). Solve -g = -p*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - 3840742?\nAnswer: -3840740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from xxxtxxxxxxxxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = 5*j. Suppose -10 = 3*q - 22. Suppose 5*n = -2*m + 14, q*m + j - 2 = 3*n. Solve 2*z - 15 = s, n*s = z - 5 - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 6 - -501051231?\nAnswer: 501051237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.006492420931 rounded to seven dps?\nAnswer: -0.0064924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + y = 47, y + 2*y = 6. Let x be (-9)\/i + 7\/5. Let s = 14 + x. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 0*m + 9 = -3*m, 15 = -f - 5*m. Suppose -2*p - 6 + 10 = f. What is y in -16 + 4*y - 1\/4*y**p = 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 32523, 32104, 31405, 30426, 29167, 27628, 25809?\n\"Answer: -140*f**2 + f + 32662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w**2 - 6*w - 1. Let m be u(-5). List the prime factors of (-43)\/(-4) + 1\/m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3.3 - -3. Let r = 0.5 + -0.2. Put -0.5, r, k, 0.2 in increasing order.\nAnswer: -0.5, k, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 19 - 34. Is ((-109011)\/g)\/7 - 4\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -163 - -602. Let k = m + -434. Let 0 + 0*h + 5\/3*h**2 - 25\/6*h**4 - 10\/3*h**k + 35\/6*h**3 = 0. What is h?\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/2? (a) 4 (b) 3 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1898 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -76 = -3*i + 3*h - 25, -i - 2*h + 8 = 0. What is the remainder when 68 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m - 312. Calculate q(-308).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 29441?\nAnswer: 4\/29441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/4 less than -7\/1444535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -18, -87, -202, -363, -570?\n\"Answer: -23*v**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the second derivative of -u**4\/12 - 13*u**3\/6 + 9*u**2 - u + 10. Let v be k(-14). Let y = 0.02 - 0.12. What is the closest to v in 0.4, y, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 25642, 25667, 25738, 25879, 26114, 26467, 26962, 27623?\n\"Answer: 4*b**3 - b**2 + 25639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -340982085, -340982086, -340982087, -340982088?\nAnswer: -340982089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 461497 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r\/r**(-2))**39)**(8\/11) assuming r is positive.\nAnswer: r**(1248\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 471 + -470. Solve 2*r = -2*y + 6, 2*y - y - r - b = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**3 - 7*r**2 - 9*r + 1. Let h be f(6). Is -2 + (0 - 1)*h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -519*t - 656*t**6 + 11490*t**6 + 583*t + 794*t - 6*t**2 wrt t.\nAnswer: 1300080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9077928 and 15886374?\nAnswer: 63545496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.2 (b) 37.3 (c) 2054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n + 0*n - 3*n = -s + 2*n + 11, -5*n + 12*n = -21*n + 112 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1001695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 + 2. Suppose -u*l + 66 = -4*n - 4*l, 5*n + 102 = 4*l. Let t = n - -22. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -5*i - 3*x + 9920, -2*x + 7936 = 4*i. Suppose -2*t = -4*u - 1400, 5*u = -2*t - 620 + i. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-2))\/((-16)\/24*(-504)\/(-16))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -66\/101 + 431\/505. What is the third biggest value in 4, 18, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10 + 3. Let o(t) = 0*t**3 + 4*t**3 - 6 + 6*t - 3*t**3 + 8*t**2. What is the least common multiple of 7 and o(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k, 1 p, and 1 i when three letters picked without replacement from {p: 2, i: 3, j: 4, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 12*x**3 + x**2. Let m(q) = -61*q**3 - 5*q**2 + 161. What is -15*c(y) - 3*m(y)?\nAnswer: 3*y**3 - 483","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 - 29 = -6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -51.6322 to 0 dps.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 237*z - 2892587 = 2774083. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 236867.13 nanoseconds?\nAnswer: 0.0000039477855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 4.445544 millimeters?\nAnswer: 0.004445544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 23 + -7 + (10 - 16)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3337*b**3*j - b**3 - 2*b**2 + 23*b*j wrt b?\nAnswer: -20022*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nernrgr. What is prob of picking 2 r and 2 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2070016 - -0.064.\nAnswer: -2070015.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-11 + 11 + 13*a)*(-7 + 8 + 0)*(-3 + 6 - 1) to k + l*a and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(((sqrt(1700) - (-3*sqrt(1700) - sqrt(1700)) - sqrt(1700)) + -5 + sqrt(1700) - sqrt(1700))**2 + -2 + -4).\nAnswer: -1200*sqrt(17) + 81657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*j**3 - 3065*j**2 + 18650*j + 49520.\nAnswer: -5*(j - 8)*(j + 2)*(j + 619)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -365 divided by 73?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the third derivative of -x**5\/24 + 13*x**4\/48 + x**3\/2 + x**2. Factor s(b).\nAnswer: -(b - 3)*(5*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-6)\/8)\/((-1)\/16). Let p be (27\/d + -3)\/3. Suppose 5 = -4*s - s, 4*y - 3*s = -9. Which is the third smallest value? (a) y (b) p (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-4)\/6)\/(8*(-2)\/(-24)). Let m be ((-4)\/6)\/r*27\/3. Suppose -22 + 10 = -4*n. Solve -l + m = -n*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/1*((-105)\/(-9) - 11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1076 + 11146. What is the highest common divisor of a and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(3) + -3 + -4 + sqrt(96)\/sqrt(2)*-1.\nAnswer: -8 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3892\/(-504) - 4\/18 and 67\/122.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 401 minutes after 10:10 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 772 + -676. Calculate the remainder when 382 is divided by q.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6390, -6383, -6376?\nAnswer: -6369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 22 + -6. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -130, -129, -126, -121?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (4 - 12 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the third derivative of 0*y**4 + 0 - 1\/3*y**3 - 5\/21*y**7 + 0*y + 1\/60*y**5 + 172*y**2 + 0*y**6. Find the third derivative of z(p) wrt p.\nAnswer: -1200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3\/2 (b) -2 (c) 92\/1511\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -39*n**3 - 76*n**3 + 78*n**3 + (-3*n - 3*n - 17*n)*(3*n + n**2 - 3*n).\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 10 - 2060?\nAnswer: -2050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor l**2 + 2458*l + 1510441.\nAnswer: (l + 1229)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i - 3*r = 3, -12*i - 2*r - 56 = -4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2*-3*(7\/(-21) - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -397 - -570. Let w = h - 90. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.1 + 0.2. Let k = -273 + 180. Let q = k + 96. What is the second biggest value in q, f, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i = w + 12 + 10, 2*w + 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, -8302, 0.3 in descending order.\nAnswer: 0.3, -0.1, -8302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 3, m: 2, y: 2, z: 6, d: 2}. What is prob of sequence yz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:10 AM and 7:34 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*1*sqrt(700).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 105\/2 + -51. Let s = 106.344 + -109.344. Which is the closest to -1? (a) 5 (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -11*d - 3. Let z(b) = -32*b - 8. Let v be 36\/16 + 30\/40 - 6. Determine v*z(w) + 8*j(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 452381.\nAnswer: 73, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-1\/4)\/(m\/m**(-2\/17)))**(-2\/35)\/((m\/(((m\/m**(-2\/9))\/m*m)\/m))\/m**7*(m\/(m\/m**(1\/4)))**(-43)) assuming m is positive.\nAnswer: m**(365219\/21420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (2*-1)\/((-111)\/37)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-7)\/63 + 29\/99. Let o = -0.44 - -0.14. Which is the closest to -4? (a) o (b) m (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**3 - 7*v**2 + v - 3. Let m(t) = -6*t**2 - 2. Let z(h) = 6*m(h) - 4*y(h). Solve z(r) = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -40*v - 210. Give i(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9 + -16. Let v(s) = -2*s - 10. Let o be v(b). Is ((-4)\/(-6))\/(o\/330) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 238282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (4 + -4 + -3)\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 309*h**3 - 6*h**2 + 4*h - 18. Let d be u(-6). Let k be d\/(-10) - (-25)\/(-125). Round k to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 = -3*c - 13. Let d = c - -23. Which is smaller: 2\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 5, 4, 2 in decreasing order.\nAnswer: 12, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 123943361.\nAnswer: 29, 4273909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 20 (base 4) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-8)\/(-6))\/((-6)\/9). Let o(j) = -2*j**2 - j - 4. Let g(d) = -d + 1. Calculate p*g(l) - o(l).\nAnswer: 2*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.4 + -0.3. Suppose -4*p - p = 5. Sort u, p, 1 in decreasing order.\nAnswer: 1, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3321 or 3316?\nAnswer: 3316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 15*o*z**4 - 6*o*z - 12201*z**4 - 2*z**2 + 8*z - 155 wrt z.\nAnswer: 360*o*z - 292824*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32353325.\nAnswer: 5, 887, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the third derivative of n**7\/1155 - 13*n**6\/330 - n**5\/6 - 7*n**4\/33 - 4*n**2. Let j(l) = 0. Calculate l.\nAnswer: -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d - s = -d + 9, 4*d - 155*s - 100*s = 84*s - 1029 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(68)*-2 + -2)**2*-3.\nAnswer: -828 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -2568929300 rounded to the nearest 1000000?\nAnswer: -2569000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the third derivative of g**8\/1512 - 16*g**7\/315 + 16*g**6\/15 + 3*g**2 - 56. Let v(k) = 0. What is k?\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**(-4))\/d**(1\/6))**(-4\/15) assuming d is positive.\nAnswer: d**(38\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -203, -1098, -2689, -4976, -7959, -11638, -16013?\n\"Answer: -348*h**2 + 149*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 25 = -9. What is the remainder when w is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 11, s: 2}. Give prob of picking 2 m and 1 s.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(22)\/(sqrt(2)*-2*5)*2)**2 + 2*(4 + (-1*sqrt(396) + sqrt(396))**2).\nAnswer: 211\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23406.\nAnswer: 2, 3, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**6\/(((l\/l**(3\/8))\/l)\/l))\/(l**(-2\/3)*l\/(l*l**(-1\/4))))\/(l*((l\/(l**0\/l))\/l)\/l*l\/(l**(-2)\/l))**(18\/7) assuming l is positive.\nAnswer: l**(-851\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-28)\/(-63))\/((-28)\/21)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 divided by -333629.\nAnswer: 11\/333629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*d + 2 = -15*d. Calculate the greatest common divisor of d and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -34*c + 756*c**2 + 1 - 749*c**2 - 3 as a*c**2 + q + m*c and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 10:37 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor k**2 - 34*k - 72.\nAnswer: (k - 36)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7703\/434 - 1\/868. Let d(k) = -k**2 + 9*k - 10. Let l be d(8). Find the common denominator of g and (-98)\/32 + 1 + l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 278.96 - 279. Sort y, -3, 0.2 in descending order.\nAnswer: 0.2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1214404 - -1?\nAnswer: -1214403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -153*f + 1682. Let q be s(11). Put -9, q, 19 in decreasing order.\nAnswer: 19, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1356324689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mbokemjo. What is prob of sequence kob?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*j + 216 = -3*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00004351961366 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 7) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gwng when four letters picked without replacement from {f: 1, g: 2, w: 4, y: 4, n: 1, p: 2}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1033 (base 9) to base 16\nAnswer: 2f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -637218, -1274437, -1911656, -2548875?\n\"Answer: -637219*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - 8357*b = -8356*b + 11, 5*y + 21*b = -23 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -201*g = -50*g + 120*g + 21*g + 3504 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2205) - (sqrt(2205) + 5*sqrt(2205)) - (sqrt(225)*-3)\/sqrt(5))\/((sqrt(126)\/sqrt(2)*3)\/(sqrt(189)\/sqrt(3))).\nAnswer: -32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 1)*(-34*b**2 + 225*b**2 + 4*b - 2*b).\nAnswer: 191*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 113081261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 less than 1703?\nAnswer: 1702.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1640371.\nAnswer: 677, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*b = -24*b - 210. Suppose -h = 4*z - 6 - b, h = -z + 48. Let v = 4 + 3. Calculate the remainder when h is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1488 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -5+-241\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, d: 1, z: 2, m: 6}. What is prob of picking 1 z, 1 x, and 1 d?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3\/2392 + -2413\/16744. Put 0.2, o, -18, 2, 0.5 in ascending order.\nAnswer: -18, o, 0.2, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 586 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 8*q + 2*q - q - 16. Let m be b(4). Let p be m*(56\/20)\/7. Solve p*k = 3*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, 2, 1, 4 in ascending order.\nAnswer: 1, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -23 - 1. Let x be (-3 - 70\/r)*-4. Which is the closest to x? (a) 2\/5 (b) -0.7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 3*j**2 - 34*j + 4. Let r(q) = 1. Let h(g) = -f(g) + 3*r(g). List the prime factors of h(9).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 divided by 1259594.\nAnswer: -11\/1259594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 8.8127 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -16*m**2 - 63*m**3 - 89*m**4 - 2*m**5 + 99*m**4 + 59*m**3 = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 19668227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -461217.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 4, g: 6}. Give prob of sequence pp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -99*h**2 + 302*h + 2. Calculate z(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -106 - 124 + 36*h**2 - 129 + 388.\nAnswer: 36*h**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 9\/10 of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**4 - 9*w**3 + 6*w**2.\nAnswer: 3*w**2*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**(-4\/7)*y)\/y)\/y**(-1\/3)*y**(3\/7)*y*y*y*y\/(y**11\/y) assuming y is positive.\nAnswer: y**(-101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by 28\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n**2 - 2*n**2 - n**2)*(-4 + 10*n + 4*n - 13*n) + (4*n**2 - 2*n**2 + 0*n**2)*(3*n - 5*n + 0*n).\nAnswer: -5*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 517 - 39502?\nAnswer: -38cb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 2*t - 3 + 2*t**2 - 3 + 1 - t**3 + 9. Determine j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g = -2*m + m, -g - 4*m + 7 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -12031\/4 + 3008. What is the second smallest value in 2, -0.2, 6, f, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127 minutes after 12:31 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -24*l**2 + 10*l + 3. Let v be r(3). Let f = 481 + v. Suppose 0 = 6*c - f - 362. Is 22 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 153 - be3b?\nAnswer: -bce8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 1 (b) -28 (c) 67 (d) 0.5 (e) -0.069 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 70\/595 - (-2052)\/(-102)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 42185 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-10)\/4*4\/(-5). Let z(i) = -11*i + 2*i**2 + 3 - 1 + 8*i. Let r be z(t). Solve 2*m + 10 = r*n + m, -4*n = -5*m - 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15 + -13. Suppose r*x = 3*u + 16, 2*u = 2*x + u - 12. Factor 0*c**2 - 1\/2*c**4 - 1\/3*c**3 + 0 - 1\/6*c**x + 0*c.\nAnswer: -c**3*(c + 1)*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**3 + 4*x**2 + 5*x. Let o be z(5). Suppose o = 17*a - 14*a - 60. Let t = 37 - a. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 80449, 79361, 78273, 77185, 76097, 75009?\n\"Answer: -1088*j + 81537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nmzzxzmnmmxoxmmmx. Give prob of sequence xn.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2158 + 10791\/5. What is the nearest to 0 in g, -1\/17, 4?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-1) + 1 - (-126)\/6. Calculate the greatest common factor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -2*d. Let c(u) = -123*u**2 + 3. Determine o(c(y)).\nAnswer: 246*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -8*o**2 + 2*o**4 + 10*o**2 - 15 - o**3 - o**3 in the form a + j*o**4 + s*o**3 + c*o + x*o**2 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y be 32\/(-12)*2079\/(-36). Calculate the highest common divisor of 638 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (13\/((-117)\/4))\/(1*-2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -14584950 + 32834950. Round t to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 111067?\nAnswer: 11, 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be 10\/25 - 124\/10. Is i > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2812, -23626, -80174, -190324, -371944, -642902, -1021066?\nAnswer: -1524304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -8*u**2 - 25*u. Let f(v) = 24*v**2 + 80*v. Let l(q) = 5*f(q) + 16*s(q). Let j(n) = 0*n**2 - 3*n**2 + 0*n**2. Calculate j(l(t)).\nAnswer: -192*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p*p*p**(3\/28)*p*p)\/p)\/(p**(-2\/3)\/p))\/(p**(-31)\/((p\/(p*p\/(p*p**(2\/19))*p))\/p*p)) assuming p is positive.\nAnswer: p**(57263\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -295 divided by 5.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (67*r - 1 + 1 + 0*r - r - r + (2 + 2 - 3)*(2*r - 4*r + r) - 2*r + 0 + 0 + 2*r + r - 4*r)*(37*r - 8*r - 15*r).\nAnswer: 854*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -2*h**2\/15 + 2517818*h\/15 - 839272\/5 = 0.\nAnswer: 1, 1258908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-10) - 174\/(-390)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39720 is divided by 5614?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + 0 + -3 + -3 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 10874 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2054*t + 2057*t + 2*t**2 - 2 + 0*t**2 to the form a*t + i*t**2 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (30\/(-115)*117\/(-702))\/((-1)\/2)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -q - 14*q + 0*q + 2*q in the form d + k*q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/85816, -6.6, 1\/10 in decreasing order.\nAnswer: 1\/10, -1\/85816, -6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -357140 take away 0.00111?\nAnswer: -357140.00111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.185699 rounded to three dps?\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1.1 plus -13.25100725?\nAnswer: -14.35100725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 475120 and 5273832.\nAnswer: 52738320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 201514.7ml in litres?\nAnswer: 201.5147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -2*s + 6. Suppose 0 = -2*k + 3*x - 13, 0 = 3*k + 178*x - 176*x. Let i(b) = 2*b - 6. Determine k*i(j) - 3*o(j).\nAnswer: 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fttttfffff. Give prob of sequence fft.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 4, -1, -1603?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11 + -16. Let m = -110 + 106. Which is the nearest to 0.1? (a) m (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 122111011020221 (base 3) to base 11\nAnswer: 5278368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z - 4*z**2 + 3*z**2 - 7*z**2)*(-3*z + 5*z - z + (0 + 3 - 5)*(2*z - 4*z + z)).\nAnswer: -24*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1614 is divided by 100.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from meflq. Give prob of sequence effq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -33 + 5 + -10 + 52 + -73\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 115*s + 35. Let f(l) = 13*l + 4. Let p(z) = 35*f(z) - 4*x(z). Let o(y) = -44*y**2 + 115*y**2 - 42*y**2 - 43*y**2. What is o(p(d))?\nAnswer: -350*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((9\/(-155))\/(-3))\/(120756\/(-402520))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -12*y**2 + 9*y + 1. Let r(c) = 2*c**3 + 61*c**2 + 32*c + 56. Let x be r(-30). Let m(g) = -6*g**2 + 4*g + 1. Calculate x*w(o) + 9*m(o).\nAnswer: -6*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 30821\/1295 + (-46)\/2 + 543\/(-60)?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-80)\/(-240))\/((-2)\/(-18))*1\/7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 100 + (-100 - -47) - 87?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -156 divided by 78.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -3, 168, -136, -2\/7 in ascending order.\nAnswer: -136, -3, -2\/7, 2, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 26.089 - 25.9. Let f = i + 2.811. What is the second biggest value in 9, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -25, -r + 2*r + 5*l = -141. Let u = -107 - r. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the first derivative of -d**2\/2 - 21. Let b(v) = 11*v + 1. Calculate b(j) + 6*i(j).\nAnswer: 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 356 = 2*h, 3*h = 5*q - q + 542. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1\/(-3))\/((-2)\/30). Solve -3*p = 5*o + p + 16, -5*o - v*p = 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 15*a + 43 + 12*a**2 - 4*a**3 - 23 + 21*a.\nAnswer: -4*(a - 5)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2451 + -7 + 17 - -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = 5*g - 7, 4*b - 65 = -b - 4*g. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/(-19))\/(140\/(-9310))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the second derivative of -d**3 + d + 1\/12*d**4 + 11 + 9\/2*d**2. Give z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, u: 1, d: 2, x: 1, q: 1}. What is prob of sequence ud?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11110 + 3131?\nAnswer: 20301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1050750421 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**2\/7 - 6824*o\/7 - 73370.\nAnswer: -2*(o + 77)*(o + 3335)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xwu when three letters picked without replacement from {w: 2, u: 5, x: 13}.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 214891.\nAnswer: 214891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-5)\/440*-148 - 3\/2. What is the fourth biggest value in -0.4, 1, 0.3, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 93899843293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45992135.\nAnswer: 5, 7, 131, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 0.15236393?\nAnswer: 0.15236393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the first derivative of m**2\/2 - 2. Let k = 6 + 1. Let f(r) = r - 2*r + r + k*r. Calculate y(f(j)).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 22943875*s + 1360070?\nAnswer: 22943875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eenneeefeejeefee. What is prob of sequence en?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 2 p when three letters picked without replacement from ipmiiiiipimpipmiimi?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -2*x + 76. Determine u(28).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 203060828 minus 0.087?\nAnswer: 203060827.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 63543264 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1540307, 3080616, 4620925, 6161234, 7701543, 9241852?\n\"Answer: 1540309*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1694 and 9878.\nAnswer: 760606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*-3*(-32)\/864*63.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 3625 + 8*l - 7243 - 4*l**2 + l**3 - 3*l**2 + 3616. Let g be (-11)\/(-2) + 4\/8. Give f(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 137767 to the power of 1\/2, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + (-28 - -40) + 12 + 44?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be (5\/(-4))\/(351\/(-36))*1. Let i = 25\/26 - u. Sort 0.15, i, 2, 0.5.\nAnswer: 0.15, 0.5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 307400995?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -90*u**2 + 4*u + 2. Let d be j(-3). Let a = 1328 + d. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x = 3*g + g, 0 = -3*x + 2*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 2*u + 28. Let f be s(-13). Solve 0*m + 14 = -2*w + f*m, -m - 11 = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 - -10 - 19 - (-14 - -23) - -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the third derivative of 1\/24*i**6 + 0 + 0*i**5 + 0*i**4 - 12*i**2 + 0*i - 8\/3*i**3. Find the first derivative of q(b) wrt b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/3588 and -53\/897?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -794816*x + 794683*x = 1330 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -98 + 128. Solve 2*t + 3*t + g = 5*s, -3*t = 4*s - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8893274 = 28*s - 8893806 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*(-4 + -2*(sqrt(75) + 1) + -5 + (sqrt(75) - -1*sqrt(75)) + sqrt(75) + -2))**2 + -3)*-3.\nAnswer: -26343 + 14040*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*h = -10*h + 6. Let t be -4 - (6\/h + 4). Let x be 2 - (-1 - -4) - t. Which is greater: x or 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = 4*z + 8 + 3, -47 = -3*n + 5*z. Let u(l) = -2*l**2 + 40*l - 36. Let h be u(n). Solve -4*g - 16 = -3*q + g, 0 = -2*q + h*g + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -168 + 42 = 9*f. Which is the fourth biggest value? (a) 4\/9 (b) 1\/4 (c) f (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -5*b**2 + 15*b + 12. Let w(d) = -2*d**2 + 8*d + 6. Let f(j) = -3*q(j) + 7*w(j). What is f(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*f**2 - 58*f**3 - 20*f**2 - 8*f**2.\nAnswer: -58*f**3 - 30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2628549761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - k + 21 = 0, -2*z + 9 = -0*k + k. Let y = 1 + z. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from qlqq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**2 + 10*c - 10. Determine l(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.12 - -4173.3932.\nAnswer: 4173.5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121)*2*-4)\/(sqrt(176)*1))**2 - ((-1 + sqrt(275))*5 - (-1 + (sqrt(275)*1 - sqrt(275)) + sqrt(275)))**2.\nAnswer: -4372 + 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**1)**(9\/5)\/(u**0\/(u**6*u*u*u)))**(2\/3) assuming u is positive.\nAnswer: u**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.068699 to three dps.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 86731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5\/24? (a) 196 (b) -0.025 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 16383206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/2, 7, -1\/6, 4, -17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) be the third derivative of i**6\/120 + i**5\/30 - i**3\/6 - 14*i**2. What is o(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-8)\/(-2 + 1) + -3. Suppose -5*k = t + 25, -t - k = -0*k + p. Suppose t = -3*x - 2*x + 2*j + 6, -3*x + 5*j = 4. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 at least 20632\/15883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.010987 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -2*q. Let r be 10\/3 + 2\/(-6). Let y be r\/(1 + 0 + 0). Let x(d) = 5*d + d - y*d - d. What is x(l(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 102333 is divided by 328.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 29*d**2 + 219*d + 117. Determine r(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -2*r**2 - 11*r - 4. Let x be t(-5). Let y = 0 - x. Which is bigger: 2\/11 or y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 18076600 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3070005 is divided by 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-2))\/((-99)\/12)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 10907 (base 11) in base 13?\nAnswer: 7217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the third derivative of -q**8\/1176 + 2*q**7\/735 + 2*q**6\/105 - 3*q**5\/35 + 3*q**4\/28 + 861*q**2. Let n(a) = 0. Calculate a.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1261169717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/118 and -77\/2080.\nAnswer: 122720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16632\/90)\/28*5\/(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3.6, 0.4, 11.2, -1\/4, 0.3 in increasing order.\nAnswer: -1\/4, 0.3, 0.4, 3.6, 11.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 32 - 24. Solve -4*f - 8 = g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: ee (base 15) to base 12\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-17*i**3 - 15*i**3 + 24*i**3)*(i + 0 + 0) - i**4 - 2*i**4 + 2*i**4 to b*i**2 + j*i + l*i**3 + t + d*i**4 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 99 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2267 + 6802\/3. Suppose -25 = -0*g - 5*g. Which is the nearest to 5? (a) g (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -3*i + f, -6 = -2*i + 5*f - f. Let t(d) = -6 - 3 - 3*d + i*d + 9*d**2 + 11. Let j(b) = 5*b**2 + b + 1. Give -11*j(m) + 6*t(m).\nAnswer: -m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4 - -1. Let q be (f - (2 + -2)) + 0. Let n(p) = -p + 1. Determine n(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 13) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l**2 - l + 3. Let p(w) = 151*w**2 - 3*w + 2. Give -2*i(y) + p(y).\nAnswer: 149*y**2 - y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-7)\/z)**(-11\/2) assuming z is positive.\nAnswer: z**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2114 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9 - a**3 - 6 - 8 to v*a + c*a**2 + r + m*a**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n = -2*f - 12, 3*n - 7 = n + f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/5, 3249, -3\/7, -0.3, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x + w - 466, -3*w - 2*w = 2*x - 289. Let b = -7 + x. Is 13 a factor of -2 + b\/3 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = 5*x - 570, 0 = f + 5*x - 0*x - 130. Is 38 a factor of 1 + (-2 - -4) + f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 32445209\/216 - 150209. Find the common denominator of y and -13\/50.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**6)\/(g*g**(-1\/12))*(g**(3\/7))**(-3\/13))**(-30) assuming g is positive.\nAnswer: g**(32845\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3367 and 923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -690240 divided by -10785?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 100 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/12*(-15)\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 - -6. Let u(j) = j**3 + 9*j**2 - 21*j - 4. Let w be u(-10). Suppose -93*l = -w*l + 39. Solve 0 = -2*z + l*p - 16, 4*z = -3*p - 2*p - k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -2*p**3 - 11*p**2 - 6*p + 11. Let t be a(-5). Suppose -10*i + t*i = 6. Let o(q) = 5*q**3 - 2*q**2 + 2*q - 1. Determine o(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the third derivative of x**5\/72 - 97*x**4\/72 - 13*x**3\/12 + 678*x**2 - x. What is f in b(f) = 0?\nAnswer: -1\/5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.8124 - -14.86077.\nAnswer: 14.04837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -15*h - 42*h - 285 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 49 - 20. Calculate the remainder when b is divided by 149787\/11748*(-4)\/(-18)*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**3 + i + 1. Let y(j) = 10*j**3 + 13*j + 22. Let b(m) = -3*m**3 - 4*m - 7. Let v(c) = 7*b(c) + 2*y(c). What is -3*u(g) - v(g)?\nAnswer: -2*g**3 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*p = 4*f + 29*p - 4, 5*p = 3*f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - 103242040?\nAnswer: -103242100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t - 2*t + 5*i = -11, -t + 5 = -2*i. Suppose 0 = -t*o + 24 - 3. What is the remainder when (-49)\/(-4) - (-1)\/(-4) is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0004455316 rounded to six decimal places?\nAnswer: -0.000446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -140 - -145. Suppose -2*r = 4*h + 4, 0*r + 3*r = -y*h - 6. Suppose h = -2*u - 0 + 620. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 14 (base 6) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 56 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 333 and 4623594?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 0 - 3*v**2 + 1\/2*v**3 + 9\/2*v = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -240 by 15.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Add -1483305.0746 and 0.00268.\nAnswer: -1483305.07192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10001010 - 101011110101101100?\nAnswer: -101011110111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -21*q**3 + 7*q**2 + 11. Let y(h) = 11*h**3 - 3*h**2 - 6. Give -4*o(w) - 7*y(w).\nAnswer: 7*w**3 - 7*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 16 (base 8) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11 + -5. Let y(t) = 2*t**2 + 4*t. Let o be y(3). Suppose o = j*m - m. What is the greatest common divisor of m and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x**3 + 77*x**2 - 617*x + 137. List the prime factors of w(52).\nAnswer: 101, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 142960 and 2840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -147 (base 10) to base 5.\nAnswer: -1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 481 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -80773493*a**3 - 127926578*a wrt a.\nAnswer: -484640958*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*j**3 + 19460*j**2 - j**3 + 7 - 19462*j**2 to the form d*j + x + v*j**3 + i*j**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes after 12:26 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*l + 3*l + 2*l + (1 - 1 - 1)*(4*l - l - l) + 0*l - 2*l + 0*l - l + 0 + 0 - 1 - 3 - 16*l + 6 to the form v + d*l and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/14, -0.7, 1, -0.02 in decreasing order.\nAnswer: 1, 1\/14, -0.02, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*k**3 + 2*k**3 - k**3 + (3*k + 0 + 0)*(-5*k**2 - k**2 - 10*k**2).\nAnswer: -49*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6\/4 + 6\/(-4) + 1. Put 0, 3, i in ascending order.\nAnswer: 0, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 45 = 4*b. Suppose -2*r + 7*r - 35 = 0. What is the least common multiple of b and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -36 - -42. Let i(r) = 8 + 10*r + 7*r + a - 5. Let l be i(4). What is the greatest common divisor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 + -5. What is the smallest value in -1\/3, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:02 AM and 12:15 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from elhllehle?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 5)*(3 - 4 + 3)*(147 + 104*t - 204*t + 99*t).\nAnswer: -4*t + 588","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3 - -10. Suppose -3*q + 15 = 0, -f + 2*q = -5*f + 10. Let j = 8 + f. What is the smallest common multiple of j and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -23, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -p**2 + 137 + 60 + 49 - 4*p**2 + 174 as a*p**2 + z*p + d and give d.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -0.5, 7864\/211, 0.3 in decreasing order.\nAnswer: 7864\/211, 5, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*k**2 + 29*k**2 + 11708*k**3.\nAnswer: 11708*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 12*l**3 - 8*l**2 + 201*l - 23*l**3 - 203*l - 21*l**3 + 3*l**2 in the form j*l**2 + g*l**3 + o + i*l and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 39443929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 333 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1390 + -965. Is 25 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 206617.\nAnswer: 107, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwwp when four letters picked without replacement from {w: 3, p: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 76599 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 27 + -5. Suppose -7*h - 5*b + 1764 = 0, -b - 575 - 621 = -5*h. Calculate the greatest common divisor of n and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1094179 is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 9932, 19886, 29838, 39788, 49736?\n\"Answer: -k**2 + 9957*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -396 - -397. Suppose v + v + 85 = 3*n, 0 = 3*v + 4*n + 85. Which is the second smallest value? (a) i (b) 2\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.037 + -0.003. Put b, 1, 2\/3, -0.4 in decreasing order.\nAnswer: 1, 2\/3, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56842.\nAnswer: 2, 97, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 14) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 222\/(-2*75\/60*(-84)\/(-105))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -17*i**2. Let a(o) be the second derivative of 1\/3*o**3 + 0*o**2 + 0 + 11*o. What is a(d(q))?\nAnswer: -34*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 751 is divided by 84?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the third derivative of 5\/3*l**4 + 0*l**3 + 1\/30*l**6 + 0 - 11\/15*l**5 - 2*l**2 - 23*l. Let j(q) = 0. What is q?\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -24*t**3 - 5*t - 3. Let w(i) = -i**2 + 43*i + 87. Let p be w(45). Let d(g) = 23*g**3 + 4*g + 2. Give p*d(n) - 2*z(n).\nAnswer: -21*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 292 is divided by 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/(-4) - 49\/(-28). Let c(r) = 63 - 20*r**w - 19*r**2 - 54*r**2 - 228*r. Let b(t) = 23*t**2 + 57*t - 16. Let s(u) = -9*b(u) - 2*c(u). Factor s(h).\nAnswer: -3*(h + 3)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22454 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0.1, 5, 43704?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 - 1)*(69\/(-115) - (-75130)\/(-4950)).\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 145 and 82650?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a*(a**22\/a)\/a*a*a**(5\/3))\/((a*a**8)\/a**(-2\/9)) assuming a is positive.\nAnswer: a**(139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 x when three letters picked without replacement from {x: 7, f: 1, j: 1, y: 2, a: 5}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -9*g**2 - 7*g - 21. Let p(a) = -5*a**2 - 4*a - 11. Let d(t) = 6*o(t) - 11*p(t). Let r be d(-3). Is -5 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 364*s**5 - 48754*s**4 - 23960018*s?\nAnswer: 7280*s**3 - 585048*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 31 (base 4) to base 14\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 607 minutes after 7:58 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 6*sqrt(153) + -4.\nAnswer: -6 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 10557359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p**3 + 608*p**2 - 13650*p = 0.\nAnswer: -325, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f - 3*h + 15 = -2*f, -3*h = -5*f - 15. Suppose f*y + 54 = 2*y. Suppose -y = -c - 5*b, b - 9 = -2*b. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes before 5:57 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 385229123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 - 180 = -25*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 110925*r + 98832*r + 31159*r.\nAnswer: 240916*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*n = 3*i + 48, 6*n = 5*i + 14273 - 14353 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 16472\/15 - 1098. Factor 8\/15*f + l*f**2 + 2\/5.\nAnswer: 2*(f + 1)*(f + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -2*g**2. Suppose 116 = -4*u - 5*c, -2*u + 3*c + 22 = -3*u. Let l = -21 - u. Let n(p) = 7*p**2 - l*p**2 - 8*p**2. What is y(n(t))?\nAnswer: -392*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 2371.584l?\nAnswer: 2371584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (1 - 3) + -4 - (-17 - -12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 11010100110001 (base 2) in base 13?\nAnswer: 6276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/4, 9, -2, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14 - -15. Let d be w*(-2 - (-2 + 6)). Let c(x) = x**3 + 7*x**2 + 5*x + 3. Is c(d) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13214 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 11733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qcqcccqqqcqqq. Give prob of sequence ccc.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -121\/1260 and 25\/98.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1163\/342 or -2?\nAnswer: -1163\/342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*w**3 + 4*w**3 - 3*w**3)*(-2*w**2 - w**2 + 0*w**2) - 5*w**5 - 2*w**2 + 2*w**2.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 117342 - 56027. What are the prime factors of l?\nAnswer: 5, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 + 6*a - a - 3 + (0 + 0 + 2)*(250*a + 457*a - 293*a).\nAnswer: 833*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is a1 - 1?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -288*u + 466 + 77 = -107*u. Solve -3*r - m + 17 = 0, r + 18 = u*r + 2*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1077369 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -37*z**3 + z**2 + z. Let h be (-10950)\/(-511) + 6\/(-14). Suppose 4*a + 5*m + 15 - h = 0, -1 = 3*a + m. Determine l(a).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**(-1)\/t*t)**(7\/2))**(7\/6))**(-17) assuming t is positive.\nAnswer: t**(833\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 503 - 201. Suppose -2*z - d = -748. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 266*c**2 - 26598*c - 206. What is h(100)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28289860?\nAnswer: 2, 5, 19, 109, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, 5, 1, 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 103 + -103. Solve -d - d = h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k + 10*k - 10*k - 15 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 148 - 89. Suppose q - 2*v - w = 0, q - 286 = -4*q + v. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 611\/11 - 56. Let z = -69\/176 - t. Which is the third biggest value? (a) 2\/11 (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:09 PM and 2:04 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*l + 3*l + 3*l)*((-l + l + l)*(-1 - 1 + 4) + 10 - 10 + l) to b + m*l + f*l**2 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = -660.4992 + 660. Let w = -0.2 + -0.3. Let u = g - w. Round u to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + 5*k - 47 = 0, -213*b = -210*b + 4*k - 36 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 6.384814um in nanometers?\nAnswer: 6384.814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -36 by -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 173 - (-90 - -185) - -5.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11 + 11. Suppose -5*z - 6*h = -3*h, 5*z + 4*h + 5 = 0. What is the second derivative of k**z - 2*k**5 - 2*k + f*k - k**3 wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes after 7:22 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6*5\/(-10) + -2 + 56. Let k be (-17)\/y - 14\/(-6). Solve -k*v + 20 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 0*a = z - 12, -6 = 2*z + 2*a. Let k(u) = 1 + 0*u**3 - 11*u + 4*u**z - u**2 + 3*u + 7*u + u**3. Determine k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5854 is divided by ((-357)\/(-12) - -1) + 25\/20.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000038867 to 7 decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at most as big as 303612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxxxxxxtxxxtttxtxxx. Give prob of picking 4 x.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 11*z**2 + 9*z + 15. Let y be o(7). Let u = -331 + y. What are the prime factors of u?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 532825.\nAnswer: 5, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19678 is divided by 649?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -197*w**3 - 61*w**3 + 36*w**3 - 220*w**3 + 67*w**3 - 299*w**2 wrt w?\nAnswer: -2250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1012\/(-220) - 2*3\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-2)\/(-465)*-15 - (1175445\/(-93))\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-7)\/(p*p**(-6))*p**(-7)*p*p**3*p assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 138379696 is divided by 685048.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -22*14988\nAnswer: -329736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -1\/635?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (-3 - 0 - (-9 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/9)\/((-16)\/(-32))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -37.063 - -0.063. Let m = y + 37.0001. Round m to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 at most 126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -1066 by -7072.\nAnswer: 41\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2, -28, 0.3, 4\/5, -0.96, -4\/5?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 198 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-128))\/(((-4)\/14)\/((-948)\/(-553)))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 11.28 != -46\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 78 = 4*d, 5*p = -d + 2*d + 314. Let u(g) = -6*g - 9. Let f = -2 - 3. Calculate the remainder when p is divided by u(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -78 divided by -4027329.\nAnswer: 26\/1342443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Add -0.03 and 1607215389.\nAnswer: 1607215388.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the first derivative of b**5\/10 - b**2 + 3. Let m(d) be the second derivative of j(d). Let k(g) = g. What is k(m(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 26 + -181\/7. Factor s*r**2 + 1\/7 - 2\/7*r.\nAnswer: (r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -1938, 2 in decreasing order.\nAnswer: 2, -5, -1938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 6446342, 12892810, 19339280, 25785752, 32232226, 38678702, 45125180?\n\"Answer: m**2 + 6446465*m - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (258\/(-21))\/((-482)\/1687)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.4, 1120, 3\/5?\nAnswer: 1120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -2*u**2 - 348*u + 5236. Calculate v(-188).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -17845703.4000005 - -17845699. Let n = 1.04 - -3.36. Let u = n + o. What is u rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 5*m**2 + 17*m + 9. Suppose 0 = -l + 2 - 4. Let w(o) = o**2 + 4*o + 2. Give l*r(d) + 9*w(d).\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (((-20)\/8)\/5)\/((-14)\/16)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-16)\/36)\/((-2)\/(-1)). Suppose -r + 27 = o, 3*o + 3*r = o + 57. Let t be (-16)\/o - (-2)\/12. Which is the nearest to m? (a) -2\/7 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.7 - -0.3. Let h = -7.8 - -8.2. Sort h, -0.1, c in decreasing order.\nAnswer: c, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -2*u. Let q(b) = b**2 + b - 1. Let g(m) = 75*m - 6 + 4*m**2 - 70*m + 1. Let k(c) = g(c) - 5*q(c). What is d(k(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -12422 + -254?\nAnswer: -13006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*w + 20 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = -n + 4*k - 1, -n + 15 = 3*k. Solve 0*o + n*o + 9 = 5*b, -5*o - 3*b = -19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:26 AM and 6:56 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -163173051 + 5?\nAnswer: -163173044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 2\/3 (c) 32.8 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-18)\/g*g*g**6*g assuming g is positive.\nAnswer: g**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -29004, -58056, -87108, -116160, -145212?\nAnswer: -174264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7823 - -18975. What are the prime factors of m?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -10*l - 2*l + 11*l. Let s(r) = -147 - r + 147. Calculate s(p(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -47, -38, -17, 22, 85, 178, 307, 478?\n\"Answer: u**3 + 2*u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 339435, 678869, 1018303, 1357737, 1697171?\nAnswer: 2036605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -29*i - 1. Let m be x(1). Let k = m + 32. Let o be (19 - 3)\/(k\/5). Calculate the highest common factor of 100 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*i**2 + 0*i**2 + i**2)*(-5 + 80 + 187*i - 191*i).\nAnswer: 12*i**3 - 225*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 4\/5 (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 - -11022111?\nAnswer: 11022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/294 and -38\/147.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = -6 - 10, -h + i = -18. Suppose -8 = -5*m + 4*m. What is the remainder when h is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 341\/24 > 103\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**2 + o - 33. Let c = 3901 - 3906. Give t(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 943, 3883, 8781, 15637, 24451, 35223?\n\"Answer: 979*p**2 + 3*p - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1121 and 34456.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**3 - 14*t**2 + 9*t - 15. Let l be n(14). Which is smaller: 112 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 3*b**2 + 180. What are the prime factors of i(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 429, 433, 437, 441, 445?\n\"Answer: 4*a + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 249468271 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 37224763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -132*l. Suppose 3*z + 6 = -3*z. Let d be u(z). Suppose 0 = -3*v - 2*v + 60. What is the highest common factor of v and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 - 5. Let y(j) = -j**3 + 5*j**2 - 3*j - 2. Suppose -4 - 4 = -2*w. Let f be y(w). Is g less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, 2\/3, -2\/573, -6, 0.2 in decreasing order.\nAnswer: 2\/3, 0.5, 0.2, -2\/573, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 60*b + 68*b = 121*b - 42 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*m - 2*n + 15, -3*m + 8 = -4*n + 29 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -909131, -909108, -909063, -908984, -908859, -908676?\nAnswer: -908423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7 and -0.1949.\nAnswer: 1.3643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -27*z**2 - 2*z. Let i(a) = -38*a**2. What is f(i(r))?\nAnswer: -38988*r**4 + 76*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -2*w**2 - 25*w - 65. Let h be f(-23). Is 11 a factor of h*(-6)\/(-36)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 61190 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -11739*o + 1936903. What is d(165)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uuh when three letters picked without replacement from hhhhhwuuhwwhwh?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1869, 4804, 7745, 10692?\nAnswer: 13645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 64\/12824721 and 37\/7892136.\nAnswer: 102597768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -191*c**4 + 44230*c**2 - 2122*c + 709 wrt c?\nAnswer: -2292*c**2 + 88460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.4 (b) -2 (c) 0.1166 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the third derivative of l**7\/1890 + 5*l**6\/108 + 88*l**5\/135 + 28*l**4\/9 - 10*l**2 - 74. Factor n(d).\nAnswer: d*(d + 4)**2*(d + 42)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -14, 4, -33, -1, 0 in descending order.\nAnswer: 5, 4, 0, -1, -14, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 4*i - 44 = 0, 5*i - 143 = j - 5*j. Calculate the remainder when j is divided by -5 + 11*(-5 - -7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 263 a factor of 35477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, w: 1, s: 1, j: 2}. Give prob of picking 1 j and 1 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15*(-20)\/(-500))\/(216\/1500).\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 318, 348, 400, 480, 594?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-3)*-3*(-15)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 671177632?\nAnswer: 2, 37, 61, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -2*b + 6, -26*b + 25*b - 11 = 4*q. Solve -77 + 72 = -b*w + 3*d, -w + d = -1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -6806, -13604, -20402, -27200, -33998?\n\"Answer: -6798*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 46130 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -10 - 12*d**2 + 33 - d - d - 21 in the form s + b*d**2 + g*d and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 - 135 = -145*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -k + 20, 8 + 4 = -4*h. Suppose -s + 1 = 0, k*m - 2*s + 28 = s. What is the tens digit of (-15)\/m*(9 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 12*n**2 - 6*n + 6. Let i(u) = u**2 - u + 1. Calculate c(p) - 6*i(p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 30*o**3 - 1 + 2*o - 18 + 21 to the form g*o**2 + f + p*o**3 + w*o and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be 10\/(-6)*(238\/35 + -8). Factor 2 + 16\/3*i + 10\/3*i**b.\nAnswer: 2*(i + 1)*(5*i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-47)\/(-9) + (-4)\/18. Suppose 4*x = 20, -p*b + 2*x - 22 = 13. Let r(j) be the first derivative of -j**4\/4 - 4*j**3\/3 + 4*j**2 + 5*j + 1. Give r(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8 and (96\/(-80))\/((-2)\/10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/9? (a) -2 (b) 0.3 (c) 0.04 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7\/(-42)*-3)\/((-16)\/(-24)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) be the third derivative of 7*h**6\/120 + 5*h**4\/24 - 7*h**3\/6 + 25*h**2. Is n(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*q + 4678 = -4110. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = g, -5*u = -2*u - 5*g - 65. Suppose -5 + u = 4*i, 3*i = -3*z + 1239. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-210)\/25 - 2\/(-5). List the prime factors of 2\/v - (-106)\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 218 = -4*w - 0*w, -2*u + 5*w + 107 = 0. Let g be u\/(-6) - (-6)\/9. Let c(r) = -r**2 - 7*r + 2. Is c(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 2 + 12)*(4*a + 3*a - 5*a) - 3*a + 3*a + 2*a + (-3*a - a + 2*a)*(-4 + 1 + 2).\nAnswer: 38*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1103 - -1113123414?\nAnswer: 1113122311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 114114 divided by -4389.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.8822142 micrograms?\nAnswer: 882.2142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2*l + 0)*(3 - 5 + 4) - 7*l - l + 9*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -129*s - 51. Is d(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24514857.\nAnswer: 3, 379, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 22*c + 18. Let n be b(3). Let a = n - 5. List the prime factors of a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 18211\nAnswer: -1\/18211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**6\/k)\/(k\/((k*k\/((k**(-1\/3)*k)\/k)*k)\/k)))\/((k\/((k\/(k**(1\/4)*k))\/k))\/k*k)**(-1\/18) assuming k is positive.\nAnswer: k**(155\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1216991 or 1216980?\nAnswer: 1216980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f**2 + f + 22. Let v be a(10). Let j = -95 + v. Let u = 97 - j. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - i = -19, -m + 8 = -3*i - 0*i. Suppose -m*k + 15 = -2*k. Suppose 6*t - t - 6 = -a, -50 = -5*a - k*t. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2 (b) 2\/3 (c) -5 (d) 15479 (e) 0.069\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9 - -16. Suppose 27*i = 45*i - 1386. What is the greatest common factor of i and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 86528 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrrrzrzrrrrrr. Give prob of sequence rzr.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - 16 - -5) + 1 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 1502 = 4*d + 1456, 0 = 4*o - 5*d - 2361. Let a be ((-242)\/8 + 10)\/(15\/(-40)). Calculate the greatest common divisor of o and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-8)*m*m*m*m**6\/m)**19)**(18\/13) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 - -26647470?\nAnswer: 26647463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*c**3 - 26*c**2 + 11*c**2 + 15*c**2.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 4*w**3 + 6*w + 7. Let k(c) = -2*c**3 - 3*c - 3. Determine -3*j(x) - 7*k(x).\nAnswer: 2*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1183242242?\nAnswer: 2, 7, 13, 491, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 118 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-4 + (-1 - -4))\/(24\/(-9) - (-27804)\/10332)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0\/(2\/(((-245)\/7)\/(-5) + -5)). Sort -5, r, -2, 189, 1 in descending order.\nAnswer: 189, 1, r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -2*v + 3. Let c(s) = 4*s - 7. Let p(f) = 2*c(f) + 5*t(f). Let n = 23 - 24. Determine p(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 15 - 5. What is the smallest common multiple of t and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = 2492*r - 2510*r. Which is the closest to -1028? (a) 0.3 (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 6*((-1)\/(-12))\/(3\/(-84))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21212 + 10?\nAnswer: -21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:37 AM and 4:17 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be 24\/72*(-5)\/(15\/1899). Is v at least -219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*z - 7 + 6*z + 3*z.\nAnswer: 5*z - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6853712 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:28 PM and 2:27 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -329950, -330196, -330606, -331180, -331918?\n\"Answer: -82*t**2 - 329868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 7*o - 20 = 0. Let k be (224\/(-35))\/(o\/10). Solve 0 = 5*i - u + 9, -4*i - u = 4*u - k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 1, 5, 19\/5, -3\/8.\nAnswer: -8, -3\/8, 1, 19\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26932.\nAnswer: 2, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*l**3*n**2 - 8*l**3*n + 70395*l**3 + l**2*n**2 - 15*l**2 + l - n**2 - 74844*n wrt l?\nAnswer: 24*n**2 - 48*n + 422370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -5, 697, 1, -8168, -2 in descending order.\nAnswer: 697, 1, -1, -2, -5, -8168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = 4*u - 4*v - 538, -3*u + 395 = 5*v. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4733 - -57964. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v, 1 w, and 1 h when three letters picked without replacement from dwvqhwg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -2*h**4\/9 - 4058*h**3\/3 + 85528*h**2\/3 + 293096*h\/9 - 179168\/3 = 0.\nAnswer: -6108, -2, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 31\/8 + -21\/8. Which is the nearest to 0? (a) -3 (b) p (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (38\/95)\/(1\/(-5)*(-108)\/(-1))?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-21)\/(-14) - 78\/(-12). Solve i*v - 20 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3 - 612?\nAnswer: -60c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -698469890*f**6 + 2*f**2 - 137329846*f?\nAnswer: -83816386800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k + 2*x - 7 + 9, k - 6 = -2*x. Let g(i) = 3*i**2 + 4*i + 2. Calculate g(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -8*r + 42. Does 6 divide f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -47244 divided by -381.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*k + 32 + 58 = 0. Suppose -k*s = 37 - 37. Let g(p) = -p + 2. Let w be g(5). Which is the second biggest value? (a) w (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 57500 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -2914 (b) -0.08 (c) 14\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -892*n - 15*n**2 + 892*n + 11*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dvjiajy. Give prob of picking 1 v, 1 i, and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -747936225 divided by -157?\nAnswer: 4763925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 11444 + -15?\nAnswer: 11426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r. Let x(k) = -5*k + 8. Let m(g) = x(g) - 4*y(g). Let w(v) = 19*v - 17. Let a(j) = 13*m(j) + 6*w(j). Let f(n) = -4*n + 3. Determine -3*a(d) + 2*f(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -90617 - -90613. Let h = 1.1 - -0.4. What is the third biggest value in h, a, -0.1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 5, p: 2, a: 2, f: 4}. Give prob of sequence ppa.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.057761 and 1.\nAnswer: 0.057761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1279399023 rounded to 4 decimal places?\nAnswer: -0.1279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mhm when three letters picked without replacement from mmmmhmmuummmmm?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 17, h: 2}. Give prob of sequence ooo.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1050 is divided by 1026.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 32*x + 19 - 1 - x**2 - 28*x. Let r be z(6). Suppose -5*h = -r*w + w + 100, 0 = -h - 3. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 281*p + 132*p + 21184 = -67*p - 182*p for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18549?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2 (b) -17 (c) 0.4 (d) -9 (e) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 11.7 - -1.3. Let m = -9 + p. Let n = 1 - 2. Put m, n, 1\/4 in descending order.\nAnswer: m, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (s + s - 5*s)*(-7 - 6 + 11) to t*s + y and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.07 and 1195.93.\nAnswer: 83.7151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -7\/95419 (b) -3 (c) 0.015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2299)*2*3 - 4*(sqrt(2299) + sqrt(2299) + 0)) + 1 + (sqrt(2299) + sqrt(2299)*-5 + -5 - sqrt(2299)))**2.\nAnswer: 616*sqrt(19) + 112667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 2*t**3 - 2*t**2 - t. Let j(v) = -6*v + 29 - 6*v**2 - 29 + 6*v**3 + 2*v. What is -2*j(w) + 7*x(w)?\nAnswer: 2*w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -v - 1. Let k be (-4 - -3)*2\/v. Let i be -2 - (-4 + (1 - -1)). Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4.331 + -4.3312901. Round l to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 175.216 + -101.589. What is r rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 146257741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*x - 47*x = -3*h - 393548, 4*h + 157436 = 2*x. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13*m - 151*m**4 + 151*m**4 - 7*m**5 wrt m.\nAnswer: -140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-11)\/(-12))\/11*12\/4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.022869822 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (((-51)\/120)\/17)\/((-56)\/560)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 - -2051536?\nAnswer: 2051534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 1045728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -366*l - 596 = -368*l. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 147452612.5 to the nearest 1000000.\nAnswer: 147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 51\/154 + -1\/22. Let l = 1321.1 + -1320. What is the closest to 0 in l, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from kkkbbkkkvkbvkbkbkkb.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wgrswrrr. Give prob of sequence gs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1721349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1272 and 9222.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*k**2*r**2*w - 22*k**2*r**2 - 54*k**2*r*w + 2*k**2*w + 100*k*r*w + 44*r**4 - 2*r wrt r?\nAnswer: 6*k**2*w - 44*k**2 + 528*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 363 and 1508749?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:45 PM and 11:04 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*w + 134 = 254. Is w > 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 5245*w**2 + 104*w + 2980506.\nAnswer: 10490*w + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 4704777 a multiple of 2079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 4*s**2 + 54*s + 50. Let d be z(-21). Calculate the greatest common factor of d and 3672.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lqltvgc. Give prob of sequence tq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*a + 19 - 97. Let q = 50 - -1. Calculate the remainder when q is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 14aa53 (base 12) to base 4\nAnswer: 1111211133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:44 PM and 6:50 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - 1 - (-28 + 25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -161236, -322456, -483676, -644896, -806116, -967336?\n\"Answer: -161220*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1253095307 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -2*m**5\/11 - 92*m**4\/11 - 1344*m**3\/11 - 5120*m**2\/11 + 16384*m\/11 = 0.\nAnswer: -16, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.94 - -37.94. Let y = f + -37.1. Which is the closest to -0.03? (a) 3 (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 1966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -12*u**3 + 6*u. Let y(c) be the first derivative of c**4\/4 - c**2\/2 - 5. What is l(b) + 6*y(b)?\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(132)\/sqrt(4))\/sqrt(11) - -2*sqrt(27).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -d - 39, 2*p + 91*d - 57 = 96*d. Let k(n) = 1 + 7 + 37*n - 43*n + 0. Give k(p).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**(-1\/3))**41\/(s**(2\/27)\/(s\/(s*s\/(s**(1\/4)\/s)*s)*s*s))*((s\/(s\/s**(2\/9)))\/s)**(3\/14)*(s**(-3)*s)\/s**(-6) assuming s is positive.\nAnswer: s**(6229\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 2 = 18, -4*i - 3*r - 18956 = 0. Let g be 0 + -3 - 5\/((-40)\/(-59184)). Let b = i - g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjjjjjujjujjj. Give prob of sequence jjuu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - -1) + -55 - (-466 + 479)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the second derivative of l**3\/2 - 2*l**2 - 2*l. Let d be k(3). Suppose 3*m - y - 46 = -2, d*y - 65 = -4*m. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4c5 + -68a?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1354123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -12*v**3 - 5*v**2 + 5*v + 5. Let h(s) = -6*s**3 - 2*s**2 + 3*s + 3. What is -5*h(a) + 3*o(a)?\nAnswer: -6*a**3 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 5496 by -1057.\nAnswer: -5496\/1057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 52 = 123. Let a = v + 372. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -14.5 from -566676579.\nAnswer: -566676564.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**2 - 10*v + 7. Let p be 6\/5*38\/(-57)*-10. What is x(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 - -4.4. Let v = -0.03 - 3.97. Sort 3, m, v.\nAnswer: v, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the third derivative of -317*o**6\/120 - 199*o**5\/60 + 337*o**2. What is the third derivative of a(w) wrt w?\nAnswer: -1902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjjjnjnn. Give prob of picking 2 n and 1 j.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 62*v**2 - 1. Calculate the remainder when b(1) is divided by (-33)\/(-2) + 4\/(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -113212 (base 7) to base 12.\nAnswer: -b934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 12 = -0*j. Let m be (12\/15)\/((-4)\/(-60)*j). Suppose m*b - 174 = -b. List the prime factors of b.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 337716 divided by 1\nAnswer: 337716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2273 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 34*c - 350. Solve -c*i - 42 + 82 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2592513300?\nAnswer: 2, 3, 5, 13, 83, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 79*s - 77*s = 10. Suppose -3*j - 2*o - o + 48 = 0, 3*o = j - 20. Solve -s*h = -j + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the second derivative of -4759*m**5\/20 + 4727*m**3\/6 - 3673*m. What is the second derivative of b(r) wrt r?\nAnswer: -28554*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2*11 - (29 + (-38 - -16)). Calculate the highest common factor of 1185 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1384*g**3*x**3 + 2026*g**3 + 3*g**2*x**2 + 179*g*x + 125*x**4 - 4*x**3 wrt x?\nAnswer: 8304*g**3 + 3000*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = 3*s - 12. Let c = s + -3. Let p(g) = 5*g - 5*g - c*g**2. Let w(a) = -a**2. Determine p(w(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 5*f + 23 = 0, -f + 4*f + 27 = 5*u. Solve 19 = 3*a - m - u*m, 3*a = 2*m + 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 270 + -78. Let j = o + -63. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.0126 - -0.00764. Let d = -0.1 - -0.08. Let l = y + d. Round l to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3593*t - 3580*t = 0. Let x(p) be the first derivative of t*p**3 - 13\/4*p**4 + 15 + 4*p**2 + 0*p. Find the second derivative of x(a) wrt a.\nAnswer: -78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -2*q - 6. Let w(u) = 3*u**2 + 2*u - 3. Let b be w(-3). Suppose -6*j - b = -3*j. Determine f(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1875525.\nAnswer: 3, 5, 17, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 6*k**3 - 8*k. Let a(x) = -4*x**3 + 3*x + 6. Let g(z) = -z**3 + z + 1. Let c(o) = a(o) - 6*g(o). Determine -8*c(m) + 3*s(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1039 + 429*y - 426*y - 1032.\nAnswer: 3*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is x in 5*x**5 - 167540*x**4 - 1173070*x**3 + 1508140*x**2 + 1173065*x - 1340600 = 0?\nAnswer: -8, -1, 1, 33515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 5*d + 269 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 20 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 3\/5 (c) -6\/19 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, m: 5, f: 3, u: 1}. What is prob of picking 1 f and 2 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -235, -268, -301?\n\"Answer: -33*i - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(-5) + 8\/(-10). Let k = 10 - 1. Let j = k + -4. What is the third smallest value in 4, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 34584616*u**3 + 3005651*u**2 - 4*u wrt u?\nAnswer: 207507696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 31725 rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -7*j**2 + 3*j + 6. Let t(a) = a**2 - 1. Suppose -3*u = 3*w + 24, -3*u + 2*w - 1 = 3. Let o(k) = u*t(k) - f(k). Does 16 divide o(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -20*t - 95. Let u be i(-7). Suppose -49*v = -u*v - 34964. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2490?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 9\/(-2)*308\/462\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 127640, 255243, 382846?\nAnswer: 510449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Let c = 22.4 + -22. Let t = 1 - -1. Let r(u) = u**3 - 5*u**2 - 7*u + 6. Let h be r(6). What is the smallest value in c, h, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4396)\/(-8478))\/(4\/216)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -14, -3\/4, 0.052, 0.3, -0.3, -1.32?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p. Let a be c(-4). Suppose 2*d = 5*d - 4*l + 11, d + l = -6. Is d not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1036706*h**3 - 2073260*h**3 + 1037080*h**3.\nAnswer: 526*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 300 - 292. Is (-2088)\/(-20) - s\/20 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -994 + 5?\nAnswer: -98c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 40 and 3080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -5.512, 2\/15, 4, 3.\nAnswer: -5.512, 2\/15, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2465 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 4a5a1 (base 12) to base 3.\nAnswer: 12010122011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 37 = 8*q. Suppose -3*r - 9 = 0, 57 = -4*f - 0*f + 5*r. Let i = f + 19. Put -2, q, i in decreasing order.\nAnswer: i, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2.1568 - 2.23. What is q rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/9 (b) 54 (c) -460 (d) 3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes after 11:03 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -24*k**3 + 20*k**2 + 42*k + 90. Let u(s) = -16*s**3 + 13*s**2 + 26*s + 60. Give 5*j(v) - 8*u(v).\nAnswer: 8*v**3 - 4*v**2 + 2*v - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36\/165 - (-44)\/(-110).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1534\/(-182) + (-4 - -15). Sort -1\/10, k, 4\/3, 2 in increasing order.\nAnswer: -1\/10, 4\/3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 100380 divided by -60.\nAnswer: -1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be (27\/(-6) - -4)\/((-1)\/(-4)). Let z be (-4)\/(-16)*y - 18\/4. Let t = 73 + z. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 376258 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 128.2204 to 0 decimal places.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = -98 + 102. Suppose 2116 + 1280 = k*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 169753700.\nAnswer: -1\/42438425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-78*s + 2655 - 2655)*(-3 - 16 - 1 + (0 + 2 - 3)*(2 - 4 + 1) - 3 + 0 + 1).\nAnswer: 1638*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - (-3 - 0 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/9, 3, -0.096 in ascending order.\nAnswer: -0.096, 1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 91, 91, 79, 49, -5, -89?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (18\/12)\/((-18)\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 32 = 46. What is the common denominator of -63\/10 and 81\/(-32)*((-20)\/m)\/5?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 60 + -1861210?\nAnswer: -1861140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 50 by -71324.\nAnswer: -25\/35662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42939.\nAnswer: 3, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 612721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 824534.9 decades?\nAnswer: 98944188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) 0.23 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -108, -242, -388, -546?\n\"Answer: -6*t**2 - 116*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 3*s**2 + 5*s - 2. Let l(d) = -d**2 - 2*d + 1. Let t(k) = -28*k - 8*k - 21 - k**2 + 16*k. Let m be t(-19). Give m*y(u) - 5*l(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 - 7. Let j = n + -46. Let y = -30 - j. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 49702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 111467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/3, 0.05, -845.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/(-3)*5\/((-25)\/(-30)). Let p(o) = 4*o**3 + o**2 + 3*o - 2. Let n(i) = i**3 - 4*i + 2 + 0*i**2 - i**2 - 6*i**3. Give y*p(v) - 3*n(v).\nAnswer: -v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hvhaxaxhxhvha. Give prob of picking 1 v, 1 h, and 2 a.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-5\/4))**43 assuming y is positive.\nAnswer: y**(-215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.03241740538 to 6 dps.\nAnswer: -0.032417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 165 = -0*w + 5*w, -33 = -w - 5*s. Suppose -10*m + 17 = -w. Which is the nearest to 0.04? (a) 4 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2, 3, 1, -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the third derivative of 0*a + 1\/12*a**4 + 0*a**3 + 0 + 2*a**2. Let d(k) be the third derivative of k**5\/60 + 14*k**2. Calculate d(t(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k*(k*k*((k\/(k*k**0))\/k*k)\/k)\/k*k*k))**(8\/11)*(k**(-1))**40 assuming k is positive.\nAnswer: k**(-456\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -101 - 101?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vl when two letters picked without replacement from llvlvv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c - 40*b + 41*b - 42, 4*b = c. Let d(u) be the second derivative of 1\/2*u**2 - c*u + 0. Let q(h) = 2*h**3 - 2*h - 6. What is 6*d(z) + q(z)?\nAnswer: 2*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**3 + 5*k**2 - 4*k + 1. Let f be a(-6). Which is bigger: -12 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -13.5 - 1. Let u = m + 13. Let d = 0.056 - 0.056. Put d, u, -2\/7 in decreasing order.\nAnswer: d, -2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 290 divide 75197826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 436 times -0.06198?\nAnswer: -27.02328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kykyyykgkgyggyg. Give prob of sequence ggk.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -1 (b) 3\/7 (c) -2\/15 (d) -3 (e) 0.06 (f) -108\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(1088)*-1 + 4 + (2 + sqrt(1088) - sqrt(1088)) + -2)*4)**2 + 2.\nAnswer: -960*sqrt(17) + 17635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.06 in 1, -5\/2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen eighths of a week in minutes?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -4 * -341.6\nAnswer: 1366.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 110 = 3*b + 10, -117 = -3*i + 2*b. What is the remainder when 120 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-553)\/4)\/(-8 - (-630)\/80) is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -36752, -36952, -37350, -37952, -38764, -39792?\nAnswer: -41042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 63*g + 2243 - 3916 - 3367 = -42*g for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 120278128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1427.167 times 78\nAnswer: 111319.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**3 + 17*i**2 + i - 23. Let l be x(17). Let n(c) = c + 10. Determine n(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 394 = -2*w - 0*w. Round w to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4638 = -24*t + 18*t. Let g = -446 - t. Let i = -144 + g. What are the prime factors of i?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l - 3*v + 1, -5*l + 11 + 29 = v. Let s = 14 - -14. Calculate the highest common factor of l and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the second derivative of 2*j**5\/5 + j**4\/2 - 5*j. What is the third derivative of t(o) wrt o?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.2 + 0.5. Let p = 4513 + -4500. Which is the biggest value? (a) s (b) p (c) 5\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -73 + 178. What is the highest common factor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19459 + 629344376.\nAnswer: 629363835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 23013 - 414125\/18. Calculate the common denominator of -3 - 2 - 1\/(-4) and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2254, -2077, -1612, -721, 734?\nAnswer: 2891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange n + 6*n - 5*n + (-n - n + 3*n)*(3 + 4 - 5) + 2*n - 4*n + 3*n + n + 2 - 2 to c + m*n and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 12096217477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.4 and 38.1086?\nAnswer: 38.5086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13.6 - 14. Let v = -8.2 - -8. Let k = -4.2 - v. Sort d, k, -0.06 in decreasing order.\nAnswer: -0.06, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 225, 229, 235, 243?\n\"Answer: u**2 + u + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -u**2 + 2068193*u - 31839329 wrt u?\nAnswer: -2*u + 2068193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be 32\/(-160) + (-226)\/(-5) + 2. Suppose 0 = p + 3*p + 140. Let h = b + p. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -568032.55 to the nearest one thousand.\nAnswer: -568000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -6*u - 138. Let y be w(-24). Solve -3*b = -b + y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -6*f**3\/13 + 24046*f**2\/13 - 23870154*f\/13 - 445738590\/13 = 0. Calculate f.\nAnswer: -55\/3, 2013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 167363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -102 = -2*i + z, -5*i - 11*z + 15*z = -258. Suppose -170 + 670 = 5*k. What is the greatest common factor of i and k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -5*q**2 - 37*q + 61. Let w(a) = -2*a**2 - 12*a + 20. Let f = -9 - 2. Let l(m) = f*w(m) + 4*v(m). Solve l(h) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -40, -12 in ascending order.\nAnswer: -40, -12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 5051511319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/9888 and -139\/528.\nAnswer: 108768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.560575101 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = -2*w + 5*w + 14, -5*w = 2*z - 18. Let g = 3 + z. Find the first derivative of -7*d - 1 + g*d + 2*d**3 wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**3 - 45*m**2 - 116*m + 427. Let j be l(-42). Solve h + j*u = 9*u - 6, -3*h - 5*u + 37 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**3 - 51*y**2 - 4*y + 215. Let r be h(51). Solve 4*b - 14*t + 15*t = -r, 25 = 5*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 36427 and 4491?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes before 9:22 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 20.35747 years to months.\nAnswer: 244.28964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 85021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 56490 by 70.\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 60491?\nAnswer: 241, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put together -4277945711.62 and 5.\nAnswer: -4277945706.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -811*c + 70453 - 20573 = -231*c for c.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2, -9, 804\/181?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 49*k + 243*k + 1864 = 59*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 18*c**3 + 3*c**2 + c - 3. Let n be h(1). What is the tens digit of ((-10186)\/n)\/(-1) + 16\/(-152)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1\/61 + -57\/244. Let r = 688.41 - 689. Which is the nearest to m? (a) 0.3 (b) 2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.3, -4, 0.3, 3.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 27547, -0.4, 59 in ascending order.\nAnswer: -0.4, 59, 27547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3603 + -25178\/7. Calculate the common denominator of 3\/44*(-153)\/(-306)*412\/9 and g.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 - 7. Let t be v\/(-7) - 12\/(-7). Factor 4*l**2 - 2*l**2 + 4 - 4 + t*l.\nAnswer: 2*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8, 6, 92, 304, 696, 1322?\nAnswer: 2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -119, -236, -349, -458, -563, -664, -761?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from lumllluul.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 129 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -9*l - 145. Determine s(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 39 and 0.47503.\nAnswer: 18.52617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (5*z - 1 - 18*z - 9*z)*(5 + 0 - 3 + (50 - 91 - 22)*(5 - 2 - 1)) in the form g*z + w and give g.\nAnswer: 2728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/(-10)*3\/(-6))\/((-6)\/(-108))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 672 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/(99\/(-54)) - (-34)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -131, -222, -299, -356, -387, -386, -347?\n\"Answer: s**3 + s**2 - 101*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**3 - 443*w**2 - 2151*w + 16907. Determine v(-438).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*z + 139 = -50 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 11*q + 4*q**2 - 4*q - 9*q to a*q + s*q**2 + n and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**2 + 5*b + 5. Let o be 6 - (-6)\/(-3) - 2. Suppose -5*p + 5*s + 5 = 0, -4*s - 1 = -o*p + 11. Give h(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 54653514 and 10434.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 2 - 45 - (-156 + 146)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 58\/3 of a year in months?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = z - 5. Suppose -z = 2*l + 13. Let o = l + 2. What is the second smallest value in -3, o, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 48980 and 746108.\nAnswer: 294712660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -269 = -5*r - 234 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/(-16)*-2)\/(-19*26\/(-29640))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -61 = -22*n + 27 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1177436?\nAnswer: 2, 13, 22643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 2*i**2 - 26*i + 3. Let s be k(13). Are 3 and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*b - b. Let i be (-2)\/(-2) - (-2 + 3). Determine l so that -7*l + i*l**2 + b + 0 + 5*l**2 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -75*l + 76 = -64*l - 49*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.029 in -4, 6\/7, 4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -117 - -120. What is the second derivative of -5*o - 13*o**r + 0*o + 38*o**5 - 18*o**3 - 36*o**5 + o - 24 wrt o?\nAnswer: 40*o**3 - 186*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes after 11:12 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (1 + sqrt(128) - sqrt(128)))**2 + (sqrt(128) - (sqrt(128) - (sqrt(128) + (sqrt(128) - 2*sqrt(128)) - sqrt(128))))**2*1.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -134 + 13. Let m = q - -121. Suppose 5*n - 4*n + 5*c + 4 = m, -5*n + 22 = 4*c. Calculate the least common multiple of 33 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (5\/2)\/((-44)\/((-13904)\/(-79)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 38 + 2. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1578298ns to microseconds.\nAnswer: 0.0001578298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**3 + 38*y**2 + 53*y + 603. Let s be v(-37). Let r = 44 - 43. Calculate the highest common factor of s and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 + 3*y**2 + 4 + 5*y**2 + 2*y**2 + 2*y**2 + (3*y - 4*y + 0*y)*(0*y - y + 0*y) - 2*y**2 + 3*y**2 + y**2 + (2 - y - 2)*(3*y - 4*y + 2*y).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*v + 14*v - 1230 = 0. What is the remainder when v is divided by (-4)\/(-2) + 0 + 19?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 123739571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (1\/9)\/(4\/30)*662\/(-4965)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -32025 divided by -5?\nAnswer: 6405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 356\/6 + (-4)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1, 2, 34, 5 in descending order.\nAnswer: 34, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzvvvvzzvv. Give prob of picking 3 z.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 105133 (base 12) to base 14.\nAnswer: 69c7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (24\/(-18))\/((-24)\/234). Calculate the highest common divisor of 3159 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 16 + -1849 + 13 - (-8 + 2). Is 0.1 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 168 + 7\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60273100 is divided by 941767?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*c**4 + 2*c**2 + 2*c**4 - 2*c**3 + 5*c**4 - 4*c**2 to the form y*c**2 + x + v*c**3 + d*c**4 + f*c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -6527*q - 34027*q - 648864 = 0 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 6*m**2 + 5*m - 2. Let k(q) = -q**2 - q. Give -4*c(g) - 20*k(g).\nAnswer: -4*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, 31, -22, -2\/11, 2\/25, 1\/31?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 2299.59 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-1*sqrt(300))**2.\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.01 - 0.596. Let u = -0.504 - -0.38. Let p = u + l. What is p rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7*s*u**4 - 7*s*u**3 + 2899*s*u**2 - 46*s + 79650*u**4 wrt u?\nAnswer: -168*s*u - 42*s + 1911600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, n: 6, b: 2, j: 3}. What is prob of sequence jjj?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00015521604 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2266.5246 and -400240?\nAnswer: 402506.5246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 6786020 by 2.\nAnswer: 3393010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the second derivative of -289*i**6\/10 + 19873*i**5\/20 + 1172*i**4\/9 + 46*i**3\/9 + 4769*i. Factor s(r).\nAnswer: -r*(r - 23)*(51*r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2*s)*(-3 - 1 + 3)*(-3 + 1 - 5) + 1 + s - s + s.\nAnswer: -13*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 36 and 12156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is j in -4*j**5 - 404648*j**4 - 10233345572*j**3 + 20469523760*j**2 + 30702464688*j = 0?\nAnswer: -50582, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be (44\/10)\/(2\/10). Suppose 0*w = 2*w + 2*v + k, 2*v = 5*w + 20. Let m = w + 19. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 377 is divided by 105?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -3*f**3\/4 + 64029*f**2\/2 - 768267*f\/4 + 288090 = 0.\nAnswer: 3, 42680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 24 = 2*q. Calculate the remainder when 5 + 0 + 17 + -2 + 3 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1187 greater than or equal to 17794\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 323 + -320. Do z and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.079 and 1954430?\nAnswer: -154399.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 1039, -2990, -5 in descending order.\nAnswer: 1039, -5, -2990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 39\/20, 0.4, -2\/13, -51\/451 in decreasing order.\nAnswer: 39\/20, 0.4, -51\/451, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7574111 to the nearest integer?\nAnswer: 2752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 71538 and 6.\nAnswer: 71538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 870*q**2. Let l(h) = 7498*h. Give l(m(w)).\nAnswer: 6523260*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 1 + (1*(3*sqrt(2736) + -5) - 3*sqrt(2736)*4*-3)**2.\nAnswer: -4680*sqrt(19) + 4161477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q = s + 11, 14*s = 2*q + 12*s - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -3*h - 2451, b - 4*h - 797 = -7*h. Calculate the highest common divisor of b and 3712.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -23 and 1012.\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/12)\/(5\/((-75)\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1624503 - -16?\nAnswer: 1624522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*p - 2*r - 20, 0*p - 5 = -p + 2*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be 555\/(-6)*(-10)\/25. Let y = b + -27. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 + 1. Let k(o) = 7*o - 158. Let y be k(23). Which is the nearest to -0.2? (a) y (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 175437589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2980530617 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 - 1 + 4 - 4*m to the form h*m + n and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -23 + 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 14\/2269 > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2020 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + c + 50 = 2*a, -2*c = -2*a + 36. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.711102706 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the third derivative of t**5\/15 - t**4\/24 + t**3\/3 - t**2. Let w(j) = 9*j**2 - 3*j + 5. Let d be (-4)\/2*2 + 295 + -284. Determine d*v(x) - 3*w(x).\nAnswer: x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2146091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*m + 3*m + m**3 + (-62 + 62 + 12*m)*(6*m**2 - 11*m**2 - 38*m**2).\nAnswer: -515*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find i such that 2*i**4\/9 + 4*i**3\/3 - 82*i**2\/9 - 4*i\/3 + 80\/9 = 0.\nAnswer: -10, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.21383748 to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = h**3 + 11*h**2 - 13*h - 10. Let x be t(-12). Let w(d) = -x*d**2 + 2*d - 3*d + d. Let i(n) = 0 - 558*n**2 + 1113*n**2 - 552*n**2 + 6. What is i(w(v))?\nAnswer: 12*v**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -83 * -0.5.\nAnswer: 41.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 3 + 19 = 0. Suppose p = 6*h - 7. What is the derivative of h*i**4 + 8 + 7 - 2*i**4 - 5*i**4 wrt i?\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**2 + 6. Let q be z(0). Factor -q*l**2 - 1 + 8*l**2 - l**3 - 7 + 4*l.\nAnswer: -(l - 2)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6041 (base 8) to base 2.\nAnswer: -110000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1*-1*(-5)\/((-10)\/(-8)). Suppose -c*k = 4*o - 59336, 3 = -k - 0*k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 - q**2 - q - 2. Let u be f(0). Let z(t) be the second derivative of -1\/6*t**3 + 1\/2*t**2 - 9*t + 0. Calculate z(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 26*s + 106 - 158. Solve -s*f = -62 + 60 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 325, 646, 969, 1294, 1621, 1950?\n\"Answer: l**2 + 318*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n + 2. Let p(c) = 4*c - 16. Let t(m) = 8*k(m) + p(m). Let z(a) = 16*a + 28. Let q(y) = 3*y + 5. Let x(s) = -28*q(s) + 5*z(s). Determine t(x(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*f - 72*f + 1060 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (4\/5)\/(14\/28210). Let b(w) = 3*w**2 - 33*w - 322. Let k be b(35). Suppose i + k = 15*t. What are the prime factors of t?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000138746 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 940544 and 2112.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -c + 18*c - 59 + 66 + 38 - 10*c - 5*c.\nAnswer: 2*c + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -47, -79, -95, -89, -55, 13, 121, 275?\n\"Answer: q**3 + 2*q**2 - 45*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53 - 52 + 158 - 53 - v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -2*k**2 + 26*k + 5. Calculate the least common multiple of p(13) and 31.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -942 divided by -46?\nAnswer: 471\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 9 (base 11) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 33 + -35. Let b = 0.3 - y. What is b rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 150 divided by -75.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 355.0383 micrometers?\nAnswer: 0.03550383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 2 - 14*k + 13*k + 18. Calculate the remainder when n(8) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 10375 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve h**5\/2 - 3871*h**4\/2 - 38797*h**3\/2 - 50513*h**2\/2 + 116448*h - 69858 = 0.\nAnswer: -6, 1, 3881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*a + 4*u + 36, -20 = -2*a + 5*u + 4. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 57, -84, -281, -540, -867?\nAnswer: -1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -153*u. Let n(v) = -766*v. Give -11*l(c) + 2*n(c).\nAnswer: 151*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the second derivative of -3*s**7\/14 + 19*s**4\/12 - 28*s. Find the third derivative of b(g) wrt g.\nAnswer: -540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 + (-105)\/1092?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 9669996 by -2417499.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -6 - 4. Suppose 0 = -p + 5, 5*p - 3 - 37 = b*j. Let a = -28 + 27. Sort 5, j, a.\nAnswer: j, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8334, -16680, -25026, -33372?\nAnswer: -41718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -535, -548, -591, -676, -815, -1020, -1303, -1676?\nAnswer: -2151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Suppose 114*h - 103*h = -36597. Round h to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (16*f**2 + 57 - 57)*(2*f**2 + 0*f**2 - 3*f**2) + 2*f**4 + 3*f**4 - 3*f**4 + 3 - 3 - 2*f**4 + (-f**4 + f**3 - f**3)*(2 - 1 + 0).\nAnswer: -17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 12 - 3*n**2 + 3*n - 3\/4*n**3.\nAnswer: -3*(n - 2)*(n + 2)*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 2 z when four letters picked without replacement from {z: 1, o: 10, u: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1028049044.\nAnswer: 2, 11, 71, 329081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zbmhh. What is prob of picking 1 z and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j*j\/j**5)**(2\/9)\/(j\/(j*j\/(j**23*j))*j*j\/(j\/j**19)) assuming j is positive.\nAnswer: j**(-391\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 771 + -770. Let r(l) = 2*l**2 - l - 1. Let b(i) = -13*i**2 + 3*i + 8. Let z(m) = t*b(m) + 3*r(m). Let n(f) = -20*f**2 + 14. Give -5*n(c) + 14*z(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 4*c = -219294, -2*h = -4*h - c + 219289. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 2*m = -24, -q + 4*m + 80 - 67 = 0. Solve -n - 3*h + 17 = 0, q*n - 3*h = -h + 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 211, 213, 215, 217, 219?\n\"Answer: 2*n + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -6*g - 5. What is j(-5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -5 + 3 + 4*g**2 + 2*g - g**3 - 2*g**2. Suppose 62*j - 81*j + 209 = 0. Let m(c) = 5*c**3 - 11*c**2 - 11*c + 11. Give j*s(b) + 2*m(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 + (-17)\/((-714)\/438))*357\/(-1734)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 229 - 226. Which is the third biggest value? (a) -3\/5 (b) v (c) -5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2589*x - 1594*x - 12882*x + 181*x - 1625*x to the form u*x + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:22 AM and 8:31 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x. Let g(a) = -23*a + 4. Let y(k) = 48*k - 9. Let z(p) = -9*g(p) - 4*y(p). Give -36*i(r) + 3*z(r).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*d + 2*d + 4*d)*(-2*d + 1 - 1) + 158*d - 161*d - 6386*d**2 - 5*d + 8 - 8 as k*d + g + x*d**2 and give x.\nAnswer: -6390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.67 and -1?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5\/17298721 and 77\/40266.\nAnswer: 311376978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -46*n**3 - 5*n**2 - 4*n + 9. Let q(c) = 22*c**3 + 2*c**2 + 3*c - 4. Calculate 5*q(u) + 2*z(u).\nAnswer: 18*u**3 + 7*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*u + 18*u - 53*u - 105*u.\nAnswer: -117*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 100 - 182*h + 98 - 3*h**4 + 112*h wrt h?\nAnswer: -12*h**3 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 + 10*k**2 + 15*k + 7. What is w(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (8\/(-10))\/((-2)\/10). Suppose 0 = -2*b + z*b + 10. Let g(h) be the first derivative of 3*h**2\/2 + 6*h + 1. Calculate g(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 380288 is divided by 42253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.009826 times 23?\nAnswer: -0.225998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 312 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -14 + 31*q - 5 + 7 + 12. Let p(h) = -199*h**2. Determine p(i(k)).\nAnswer: -191239*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 651 = 306*w + 3235 + 1959 + 1883 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 - 222.7.\nAnswer: -222.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -23500*f**2 + 2*f + 4. Let j be p(-2). Round j to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**3*z**0\/z)\/(z**4\/z**3))**42 assuming z is positive.\nAnswer: z**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 4*j**3 + 50*j**2 + j + 7. Let f(t) = 12*t**3 + 150*t**2 + 4*t + 25. Calculate -14*a(y) + 4*f(y).\nAnswer: -8*y**3 - 100*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -80*i + 48 + 184 + 168 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 139*w + 310 = -802 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 8148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -4408 less than -4410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3375)\/10125*(-252)\/20.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7667.\nAnswer: 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q**3 + 2*q**2 - 2*q - 3. Let s(r) = -103*r + 2*r**2 + 2*r**3 - 4 + 15*r + 10*r + 75*r. Let c = -6 - -4. Give c*s(g) + 3*u(g).\nAnswer: -g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -53 + 54. What is the nearest to j in 3, 5\/3, 0.2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8 - -19. Do d and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 15 = -5*n, -4*s + 5*n = -0*s + 21. What is the least common multiple of s\/(-14) - (-445)\/35 and 3\/(-6) - 30\/(-4)?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**5*x\/(x**(-2)\/x*x))\/(x*x*x**(-1)*x*x**(-4\/3))*(x\/(x*x*x**(-1\/3)*x))**(-2\/65)*x**8*x\/(x*x**1) assuming x is positive.\nAnswer: x**(187\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -66 + 10 + 3 + -21 + (28 - 8) + 4.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*z**3 + 17*z**2 - 18*z - 8.\nAnswer: -(z - 4)*(z - 2)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -392 + 404. Let r(t) = 24*t. Calculate the lowest common multiple of r(1) and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, -9, -1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*g = -15*g + 56*g + 5499 + 1001 for g.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 58564*v**2 - 22892232*v + 2237100804.\nAnswer: 4*(121*v - 23649)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be -5 + 13*(1 - 0). Suppose 0 = -g - 2*g - 4*l + 1, 3*l = 5*g + 37. Let r = i - g. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46798 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (416 - 14 - 537 - 615 - 644)*(2*t + 0*t - 3*t) to v + f*t and give f.\nAnswer: 1394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*y - 4*y - y**5 + (-y**2 + 0*y + 0*y + (2 - 2 + 2*y)*(4*y - 2*y - 3*y) + y + y**2 - y)*(-2577*y + 2*y**3 - 6*y**3 + 2572*y - 2).\nAnswer: 7*y**5 + 10*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the third derivative of c**6\/30 + 14*c**5\/15 - 37*c**4\/2 + 120*c**3 - 3853*c**2. What is m in x(m) = 0?\nAnswer: -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + 1)*(-2 - 1 - 3)*(-2*g + 2*g + 3*g).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 4*a - 0*a. Let j be 8\/(-1) + 77 + -71. Let k(n) = -n**2 - 6*n + 19. Let m be k(-8). Sort j, a, m, 1 in decreasing order.\nAnswer: m, 1, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-328)\/574 - -1*(-120)\/(-63). Factor 2\/9*b**2 + 2 + h*b.\nAnswer: 2*(b + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1 - 0\/2 - -18. Let q = t - 15. Suppose 0 = -j + q + 2. Solve j*i - i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 5 - l**2 - 5*l**2 + 1 + 3*l**2 + 6*l. Let d(q) = 2*q**2 - 5*q - 5. What is -6*d(j) - 5*y(j)?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11676651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 341.3 rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -47*y**4 - 2*y**2 + 6*y + 266. Let c(b) = -46*b**4 - 2*b**2 + 7*b + 265. Let n(r) = 6*c(r) - 7*x(r). What is the derivative of n(w) wrt w?\nAnswer: 212*w**3 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 19945 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -69298*l. Let f(u) = 9*u. Calculate r(f(j)).\nAnswer: -623682*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*y - 303 + 60 + 116 + 127.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the third derivative of 0*f**4 + 0 - 1\/120*f**6 + f**2 + 2\/15*f**5 + 1\/6*f**3 + 0*f. What is the remainder when v(7) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 + (-8 - -12) + 85 + (6 - 0)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in i - 2*i + 0 + 4.\nAnswer: -i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -424*w + 1896*w + 1520*w - 415*w in the form v + f*w and give f.\nAnswer: 2577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - 54\/(-16))\/(9\/(-4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nneenen. What is prob of picking 2 e and 1 n?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/13, -21, 14\/31?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 2788.627g?\nAnswer: 2788627000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 - -1023)*(-1890)\/(-168). Suppose 0 = 8*x + 7*x - q. Is x a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -772*l**2 + 145*l + 184*l**2 - 64*l - 81*l.\nAnswer: -588*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*m + 1100 = -311. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 197\/3 - 976\/15. Which is the closest to -6? (a) s (b) -1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-1)\/2)\/((-2)\/32). Let v(k) = k - 6. Suppose r + 13 = 7*a - 4*a, 3*a - 33 = -3*r. Let d be v(a). Solve -4*g - j = -d*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21512 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/((-696)\/(-14)))\/((-3724)\/3192)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, s: 3, z: 7, m: 3, p: 3}. What is prob of picking 1 z and 1 s?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/5? (a) -0.11 (b) 5\/12 (c) -0.2 (d) -1\/7 (e) -3\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4\/183 + 167\/732. Factor 0 - k*f**2 - f.\nAnswer: -f*(f + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -0.02, -4, 0, 5\/8, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence awaa when four letters picked without replacement from {a: 4, w: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1963488 is divided by 654486.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-39)\/(-9) - 20\/15. Suppose -j*q + i + 1 = -3, 4*q - 5*i = -13. Let v be (1 + 3 - -6)*1. Solve q*s = s - v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 1047*y + 39. What is the hundreds digit of h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1\/2)\/b**(-10))**(-23)\/(b**8\/b**(1\/9))**(-2\/9) assuming b is positive.\nAnswer: b**(-35113\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 86 = -0*q - 4*q, 2*q - 2*j + 46 = 0. Let s be (35\/q)\/(5\/(-6)). Solve -2*u = -s*t - 8, -4*t + 3*t = 2*u + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -9 by 6053.\nAnswer: -9\/6053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -86, -83, -70, -41, 10, 89?\n\"Answer: z**3 - z**2 - z - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 7*d**3*s**3 - 3*d**3*s - d**2*s**3 - 20*d**2*s**2 wrt s?\nAnswer: 42*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20*(6688\/1540)\/76.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -187*-3\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -4*i**3 + i**2 - i - 1. Let d(c) = c. Let m be d(0). Suppose 5*t - 2*g + 3 = m, 5*t + 4*g = 4 - 13. Let s be b(t). Solve 0 = s*p - 0 - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 5*g**3 + 2*g - 1. Calculate the smallest common multiple of 6 and y(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + (7 + -5 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0239*-0.07.\nAnswer: -0.001673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23681127?\nAnswer: 3, 71, 73, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 2*n**3 - 4*n**2. Let w = 129 + -102. Suppose -34*s = -w*s - 7. Let p(b) = -4*b**2. Let d be p(-1). Let z(r) = -r**2. What is d*z(h) + s*l(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/(-15)*(4 + 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(500) - -5*sqrt(500)*-3)**2.\nAnswer: 98000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 25568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + f - 1)*(1 + 1 + 0) + (2 + 0 - 12)*(-4*f + 6*f - 3*f).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from ekekkkkekkkekk.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4238 + -4238.06646. What is q rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -7 from -3487040.\nAnswer: -3487033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.4849 + 0.0029. Let q = 0.480972 + i. Round q to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2189, -4691, -7467, -10517, -13841, -17439?\nAnswer: -21311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 66736 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 7*z**2 + 3*z**2 + 5*z**3 + 2 - 4*z**3 - 4*z**2 - 7*z. Let l = -22 + 15. Let o be j(l). Solve 2*v + 9 + 5 = o*w, 2*w = -5*v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) -1 (c) 3 (d) -77 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -17*b + 39. Let l(q) = -9*q + 20. Let u(n) = -6*a(n) + 11*l(n). What is the lowest common multiple of u(12) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -43 + 55. Calculate the remainder when 114 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1611470 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 5550 to the nearest 100.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in i - 811 - 312 - 205 - 367.\nAnswer: i - 1695","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 398*u - 12331. Let x be t(31). Solve -h = 2*b - x, -35*h + 18 = 3*b - 36*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 471054604.\nAnswer: 2, 117763651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -111011 (base 2) to base 11.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 2*g + 4*j, -3*g - 3*j - 2*j = 16. Let z = -20 - -18. What is the units digit of 5*z*g\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 715289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7\/25 + -3\/25. Suppose -4*l + 142 = -4*d + 162, -7 = 4*d + 5*l. What is the nearest to -2\/9 in o, 14, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**50*h)\/h**(5\/7))\/(h*h**(-17)*h*h\/(h\/(h\/(h\/(h*h*h\/(h*h**(-20)*h)))))) assuming h is positive.\nAnswer: h**(310\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -143 (base 8) to base 2.\nAnswer: -1100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -3*b + t + 2, 5*b + 5*t + 10 = 0. Let v = -2 + b. Suppose l + v*u - u = -1999996, 5*u = -2*l - 4000020. What is l rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -86*f. Let m(c) = -4520*c + 23. Determine q(m(j)).\nAnswer: 388720*j - 1978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -62144 - -12117991\/195. Find the common denominator of 61\/120 and f.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 44909, 45074, 45237, 45398, 45557, 45714?\nAnswer: 45869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7363378.\nAnswer: 2, 11, 334699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -3*c**4 - 3 + 5 + 38*c**2 - 41*c**2 - c in the form f*c**2 + u*c**4 + p + w*c + b*c**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -21, -19, 1, 51, 143, 289?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -190.1 + 182. Let w = -8.151 - g. Round w to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -449 - -449. Suppose -6*x + 154 + 10532 = v. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -8*d**2 + 8*d + 3. Let s(w) = w + 1. Let p(g) = n(g) - 5*s(g). Let z(q) be the first derivative of p(q). Differentiate z(y) wrt y.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 230*d + 15634. Let v be q(-68). Let j(b) = -71*b - 38*b + 18*b. Let t(k) = -7*k. What is v*j(z) + 77*t(z)?\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11111023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(2\/5)*m**(-10)*m**(-21)*(m**(-2\/11)*m)\/m assuming m is positive.\nAnswer: m**(-1693\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(272)*-2)**2.\nAnswer: 6528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 83 = 2*d, -2*u - 5*d + 35 = -3*u. Let x = u + 36. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30864*z**3 - 15475*z**3 - 15378*z**3.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the third derivative of -u**5\/60 - 5*u**4\/24 + 7*u**3\/6 + u**2. Let w be d(-6). Sort -0.2, -1, w in descending order.\nAnswer: w, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - 43 - (274 + -365)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 1247*c + 19169 = 586*c for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 71927492 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.3 + -0.29708. Round i to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (4 - 4) - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-12\/5)*w**(1\/4)\/w)\/(w**(-17)\/w)**19 assuming w is positive.\nAnswer: w**(6777\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:34 PM and 8:35 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 8, u: 2}. What is prob of sequence uum?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -63 - -360?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4927 - 4*m**3 + 4852 + 109.\nAnswer: -4*m**3 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 0.01 (b) 466147 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 14.91677283 + -22647\nAnswer: -22632.08322717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12.72 or -0.1?\nAnswer: -12.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 214*q**3 + q - 2*q - 213*q**3 - q**2. Let h(g) = g**3 - 2*g**2 - 2*g. Determine -2*c(k) + h(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -2*b**3 - 20*b**2 - 4*b - 15. Let z be r(-9). Is 1\/((-1)\/z*51\/323) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6.03 + 6. Let q = -192.21 + 192. Let h = 0.01 + q. What is the closest to 0.1 in 0.2, h, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + 12 - (36 + (-9 - (7 + 1)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -115 - -577\/5. Let u = -79 - -84. What is the nearest to r in u, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4196139443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-19350)\/(-775) - (-8)\/248.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1225, -1651, -2077, -2503?\nAnswer: -2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -309 - -302 - (3 + -3 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**3 - 55*x**2 + 366*x + 1. Let l be d(6). Solve -u = l + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -48*n - 762. Let i be m(-18). Which is greater: i or 98?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*k - w + 1 = -3*k, -2*k + 4*w = 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*c + 29*c = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -20974571, -20974570, -20974569, -20974568?\n\"Answer: u - 20974572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*y + 5*y + 123. Let i = -125 - y. Which is greater: -30\/37 or i?\nAnswer: -30\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00316633174 to 7 decimal places.\nAnswer: 0.0031663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 22*t**2 + 8*t + 12. Let u be s(-3). Let d = -143 + u. Is 43 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 5*u - 15. Let h = 7 + 4. Calculate the remainder when y(9) is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 8\/(-45)*-33 + (-16)\/(-120). What is the first derivative of -559 + 366 + 313 + 12*z - z**2 + u*z wrt z?\nAnswer: -2*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1157847 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -706, -753, -814, -889?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {a: 6, t: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:41 PM and 11:30 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 187483 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38879.\nAnswer: 17, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -2232 (base 4) to base 11.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1, 1, 4, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11516*g**3 - 47*g + 123?\nAnswer: 69096*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**3 - 4*d**2 - 5*d - 16. List the prime factors of u(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 49 - 43. Suppose 0 = -l*j - 517 + 2677. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 345\/(255\/(-17)) + (-20430)\/(-900).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 12*n**2 - 2*n - 2. What is the remainder when x(-3) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-14)\/35 + (-32)\/(-5). Let v(g) be the second derivative of g**4\/6 + 5*g**3\/6 - 7*g**2\/2 + g. Let p be v(l). Round p to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9435.\nAnswer: 3, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -4*h**2\/3 + 64960*h\/3 - 1122368 = 0.\nAnswer: 52, 16188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z + 6 + 6. Let p(d) = 11*d + 3. Does 12 divide p(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 215107 divided by -1?\nAnswer: -215107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -3 + 8 + (2 - 4) + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 28327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 3*i. Let k(j) = j**2 + 2*j. Let q be ((-6)\/(-2) - -11) + -8. Determine q*k(p) - 4*v(p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = 7*n - 2*n. Suppose 3*o = 5*v - 4, 0 = 6*v - 2*v - n. Let x be o\/7 + (-33)\/(-7). Solve -7 = x*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.3, -0.54, -2\/13, 5\/3, 11\/2, 3, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3794*a**3 - 10*a**2 - 22*a + 3 wrt a.\nAnswer: -22764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1005209006 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 15*d - 5*d + 4 + d**2 - 4*d**3 + 2*d**2 - 12*d. Let x(b) = b**3 - b**2 + b. What is i(k) + 3*x(k)?\nAnswer: -k**3 + k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0\/1 - 4*-1. Let s be 2\/c*(1 - -25). Suppose t - 41 = -3*h, -18 = -h - 5*t + 5. What is the greatest common factor of h and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*d - 17 + 928101*d**3 + 3*d**2 - 928100*d**3 - 21*d to l*d**3 + x*d**2 + y*d + n and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-7316)\/6 + 0 - (-76)\/(-114). Let w be -4404*(2 - (-5)\/(-2)). Let g = w + v. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 9957*s. Let j(c) = -c. Calculate w(j(m)).\nAnswer: -9957*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6752 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify f*f*(f*f**(11\/3))\/f*(f*f**(-3\/20))\/f*f*f**(-2\/5)*f*f**(-2\/69) assuming f is positive.\nAnswer: f**(9781\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (3 + 0 - 1)*(m**2 - 2*m**4 - m**2) + 1 - 6*m**4 + 3*m**4 + 2*m**4 as u*m + g*m**4 + j*m**2 + n*m**3 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 143 is divided by 41.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7122, -14389, -21656, -28923?\nAnswer: -36190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Is 38712406 equal to 38712407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - 7) + 10 - (-37 + 20 + 25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21396*c - 21392*c - 21338*c + 85522*c - 21395*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*m + 800 = 85*m + 41*m. Solve 0 = 2*t + 2*w - 5*w, 0 = -4*t - m*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/10887 and 64\/14228163.\nAnswer: 270335097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 858 and 274692?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - 0. Suppose -k - 3*b = 0, k = -z*k + 3*b + 6. Find a such that -8*a**3 - 2*a**5 - 2*a**2 + 2*a**3 - 6*a**4 + 0*a**k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2671 - 2673. What is the nearest to 1 in -3, 0.25, -1, n?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 22*y - 21*y + 3*y**3 - 7*y. Let f(n) = 3*n**3 - 5*n. Calculate 4*f(s) - 3*u(s).\nAnswer: 3*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 449471 is divided by 409.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 35645723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and -0.005.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -154, -636, -1432, -2536, -3942?\nAnswer: -5644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/11666 and -143\/87492.\nAnswer: 510340836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {s: 1, d: 1, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - -3)*3\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.86941 + 0.87. Round b to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 54692 and 8362?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add together 12 and 449198340488.\nAnswer: 449198340500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1*(0\/(-3))\/1. Suppose l*t - 8 = -2*t. Suppose j - 25 = -t*j. Solve j*h - 27 = -2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-175 - -175) + (1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 805 = 4*z - 15, 2*c = -10. Calculate the greatest common divisor of z and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 92309756.\nAnswer: 2, 7, 11, 107, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/1392*40\/((-220)\/11))\/(1\/3).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16919 - -633905302.\nAnswer: 633922221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/(-2)*0 - 0. Let j(l) be the third derivative of -l**4\/12 + 2350000*l**3\/3 + l**2 + 20. Let f be j(r). What is f rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/1 - (-1 - -2). Let q = -134 + 312. Let n = q - 174. Solve -6 = -g + 4*v + 6, h = n*g - 4*v - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -174, 0, -1\/2, 2\/9 in descending order.\nAnswer: 2\/9, 0, -1\/2, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 5 - p**5 - 5 + (3*p**5 + 3*p**5 - 4*p**5)*(4 - 2 - 1) + p**5 - 2*p**5 - 2*p**5 - p**3 - 2*p**5 + 16*p**2 - 29*p**2 - 128*p**2.\nAnswer: -4*p**5 - p**3 - 141*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -5 + g + 5 - 2. Let h(q) = 0 + 4 + 3 - 4*q. What is 2*h(y) + 7*k(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 3*a**2 + 8*a + 1. Let g be w(0). Sort 3, -2, -19, g, -4 in decreasing order.\nAnswer: 3, g, -2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**2 - 26. Let n(k) = -165*k**2 - 1. Determine n(i(w)).\nAnswer: -165*w**4 - 8580*w**2 - 111541","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = -4*l + 4*k, 4*l - 5*k + 11 = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6616365 and 313845?\nAnswer: 6405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3\/83, -2\/1105, -5, 3?\nAnswer: -2\/1105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8*g + 13 - 8*g - 4 - 16*g**2 with respect to g.\nAnswer: -32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33184709?\nAnswer: 33184709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 35863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/8 in -0.4, 4\/7, -3\/7, -13, 17?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 5*l**2 - 15*l - 3. What is the units digit of i(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8212549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -i**3 + 20*i**2 - 84*i + 4. Let f be r(6). Solve 126*h = -2*t + 124*h - 4, 12 = -2*t - f*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 393 and 240909.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9751462 is divided by 98?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -25 - -27. Suppose -n + 24 = 5*n. Let g be n\/((-16)\/6)*24\/9. Sort g, 9, a, -5 in decreasing order.\nAnswer: 9, a, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of (125 - 121)*(198 - 2\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/10, 4, -4, -5, -45 in decreasing order.\nAnswer: 4, 3\/10, -4, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ijiiiiijiiiiiiiiiiii. What is prob of picking 2 i?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 2*h, -2*t - 2*t - 5*h + 143 = 0. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 51981*v. Let r(i) = -4*i. What is r(h(n))?\nAnswer: -207924*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -31 or -2144.415?\nAnswer: -2144.415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 2760825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-670)\/(-134))\/((-10)\/94).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4677 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1327 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-80)\/(-8)*(-12)\/20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1626515136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 44 = -9*i. Let u be (-10775)\/(-325) - i\/26. Calculate the highest common factor of u and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the second derivative of -f**5\/12 - 87*f**2\/2 - f + 154. Let i(b) be the first derivative of h(b). Let a(g) = 31*g**2 + 1. Give i(a(o)).\nAnswer: -4805*o**4 - 310*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 45 - 129 = 3*l, -5*l + 15 = 0. What is the remainder when 61 is divided by m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -t + 5 = -5*f + 4*f, 15 = -3*f + 5*t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -39\/363650 and 137\/42.\nAnswer: 1090950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 4 - 2 = -3*d, f = -d. Let r = 0.1 + -0.6. Sort d, r, -2\/5.\nAnswer: r, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -3*j + 4*m, 3*j + 0 = -m + 16. Let l be (0 - 2)*15\/(-2). Calculate the greatest common factor of l and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 2 - (-17)\/(476\/(-24))*-91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -34993561, -34993558, -34993555, -34993552, -34993549?\nAnswer: -34993546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 6*m**2 + 21*m - 2. Let b be q(-4). Put 5, b, -4 in decreasing order.\nAnswer: b, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/492 and -44\/123.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2 - 392*3\/(-18)) + (-4)\/(-6). Let j = -17 - -65. What is the highest common divisor of j and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1292, -4961, -11268, -20369, -32420, -47577, -65996, -87833?\nAnswer: -113244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*i**2 + 12*i - 6*i + 4*i + (-5 + 240*i + 3 - 302*i)*(i + 2*i - 4*i) to c*i**2 + y*i + m and give c.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -3*y + 4. Let f be s(-5). Suppose -3*x + 95 = -f. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 2, i: 17}. Give prob of sequence iuiu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:14 AM and 4:05 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-279)\/(-651))\/(5\/7)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 429 - 421. Let z be 28\/6 + 3\/9. Suppose -3*i + 5*o = -z*i + 22, 4*i + b = 3*o. Solve i = -0*d - d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/165*120\/18 and -37\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the third derivative of m**7\/350 + 3*m**6\/100 + 11*m**5\/100 + 3*m**4\/20 + 194*m**2. Factor a(d).\nAnswer: 3*d*(d + 1)*(d + 2)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2245 - 31. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a minute in seconds?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + (12 + -7 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.4 + -2. Suppose -z - 6 = -2*u, -8*u - 4 = -4*z - 7*u. Which is the third smallest value? (a) r (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 6 + 2)*(-v + 0*v + 2*v) - 3*v + v + v)*(-45 - 19 + 96).\nAnswer: 160*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 44635618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-19 - -70) + -44 + -37.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 54*l**2\/5 - 36670479*l\/5 - 2037249\/5.\nAnswer: 3*(l - 679083)*(18*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -56, 29, 1, -4.\nAnswer: -56, -5, -4, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -216*j + 2730 + 7493 - 935 = 0 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**2 + s. Let b be c(7). Let a = b + 85. Let i = a + -30. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the third derivative of -y**6\/120 + 7*y**5\/60 - y**4\/4 - y**3\/3 + 2*y**2. Let l be c(5). What is the units digit of 38\/6 - l\/(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 + -4 - -14 - 11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 986\/18 - (-10)\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(9\/4))**17 assuming o is positive.\nAnswer: o**(153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -81 + 76. What is the nearest to 1 in r, 4, 6\/7, -2\/5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes before 10:26 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3)\/((-64)\/497 + (-20)\/(-140)). Let t = d - -223. Solve -t = 2*l + 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1*(-1)\/(2\/(-14)). Solve -j + 19 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1876909?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 2*f**3 - 6*f**2 - 3*f + 2. Let i(y) = 3*y**3 - 7*y**2 - 4*y + 2. Calculate -4*i(q) + 5*t(q).\nAnswer: -2*q**3 - 2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 208930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3616.69 and -0.3?\nAnswer: 1085.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -122, -120, -118, -116, -114, -112?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes after 7:03 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -214*h - 4. Let v(x) = 2. What is -u(p) - 2*v(p)?\nAnswer: 214*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 550.0035 millennia?\nAnswer: 5500.035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(98) + -4 + 1 + (2 + (0 + sqrt(72))**2 - sqrt(72)) + -4.\nAnswer: sqrt(2) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 f, and 1 c when three letters picked without replacement from {f: 4, u: 2, r: 1, w: 5, c: 1, s: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*d + 23 = -4*v + 3*d, 15*v = 13*v - d + 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 7121.587 grams in nanograms?\nAnswer: 7121587000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -2*y**2 - 5*y - 7. Let l be i(-4). Let h be (21\/(-12) - -2) + l\/(-4). Solve 4*f + 3*u = -20, -h*f + 4*u + 0*u = 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/4 - (-726)\/24. Suppose 0 = 13*x - 18*x + a. Suppose -10 = -m + 3*f + 9, 2*f = -m - 6. Solve x = -m*o + 7*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 3\/7, -3, 0.5, 115 in decreasing order.\nAnswer: 115, 0.5, 3\/7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1.3, -12\/11, 0.5, -4?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -9 by -20567.\nAnswer: 9\/20567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(2\/7))**(-25))**29\/((c**(-2\/3))**(-5\/4)\/(c**(-3)\/c*c\/(c\/(c\/c**(-6)*c)))) assuming c is positive.\nAnswer: c**(-8567\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*f - 3 + 163*f**3 + 81*f**3 + 5*f**2 - 390*f**3.\nAnswer: -146*f**3 + 5*f**2 + 14*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 30702 - -9.50794?\nAnswer: 30711.50794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 68503*g**2 + 314316*g wrt g.\nAnswer: 137006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**4)**(7\/4)\/(d**(-11)*d**(11\/5)\/d) assuming d is positive.\nAnswer: d**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -614.3 take away -4.949?\nAnswer: -609.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 16154111?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + -1 + -8 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10102 = -y - 13*m + 7*m, -50246 = -5*y + 3*m. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 25 = 3*m, m - 9 = 4*c - 3*c. Let y = 11 - m. What is the remainder when 19 is divided by 2 + -1 + 3 + y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the second derivative of -t**6\/30 + t**3\/3 - 5*t**2 - 7*t. Let d(n) be the first derivative of c(n). What is the first derivative of d(f) wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 2*q**3 - 1092*q**2 - 11120*q = 0.\nAnswer: -10, 0, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-35\/2)\/(m\/((m**(-33)*m)\/m)))\/(m\/m**(-9)*m**(-10\/11)*m) assuming m is positive.\nAnswer: m**(-1355\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 45764425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.094137 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 155867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(-10))\/((-1)\/((-70)\/14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -29.3 + 238?\nAnswer: 208.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -145 - -95. Round y to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 6*c + g = -45, 5*g + 25 = 0. Suppose -348 = -q + c. What is q rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -108*v - 1135*v + 3 - 138*v - 3.\nAnswer: -1381*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 905581206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 327567893.\nAnswer: 327567893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -101.0326665 rounded to the nearest integer?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -1*1 + -4 + 15?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*k + 46*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*m**4 + 0*m**4 - m**4 + (-3 + 2 + 6)*(-m**4 + 2 - 2) to the form i + a*m**4 + u*m + k*m**3 + p*m**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -61e8b (base 16) to base 5\nAnswer: -100313120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -18*z**3 + z**2. Let f(g) = 2*g**2 + 2*g + 1. Let u be f(-2). Suppose 13 = y - 3*n - 1, -3*n - 20 = u*y. Is d(y) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/52*(10622\/423)\/(-113)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 24*l - 53*l - 4651 + 27*l - 1317 - 2142 as d*l + s and give s.\nAnswer: -8110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -2*n. Suppose n = -c - 3*c. Let f(x) = x**3 + 3*x**2 + x + 2. Let j be f(-2). Solve -j*l + 3*l = c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -2*r - 3073, -r + 3323 = 5*j - 1790. List the prime factors of j.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 37355 + -37355.108504. Round h to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (336\/252)\/(356\/(-10947))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 152653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**3 + 22*f**2 - 21*f - 345. What is v(-21)?\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 5*r - 49 = -3*f, -5*f = -2*r - 20. Suppose 5*b - q + 0 = -f, 0 = -2*b - 2*q - 12. Put 4, b, 2\/9, 0.3 in ascending order.\nAnswer: b, 2\/9, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51 bigger than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77272 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -596\/115743?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1093, 1111, 1139, 1177, 1225, 1283, 1351?\nAnswer: 1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.084? (a) 0.4 (b) 5 (c) -1\/3 (d) -5\/4 (e) -4.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 584*h**2 - 30*h - 109. Does 35 divide c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -4*j + 40. Let r be y(-6). Suppose -53 + r = a. Suppose -260 = -a*w + 6*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -15402, -15395, -15388?\n\"Answer: 7*q - 15409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -15665400 by 7832700.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1206 and 42307686?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 8 + 0 + (80 + -60 - 59).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 9 - y + y - 10 - 13*y**3 wrt y.\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2182525*w**3 + 597931*w**2?\nAnswer: -13095150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -4*i**4 - 2*i**3 - 16 + 29 - 18 as t*i**4 + b + z*i + c*i**2 + d*i**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 + 8*w**2 - 343*w - 25. Let s be x(15). Solve 6*f - s*d = 5*f + 12, d + 6 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 18, 102, 308, 696, 1326, 2258, 3552, 5268?\n\"Answer: 10*u**3 + u**2 + 11*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**2 + 5*o - 5. Calculate t(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 398 - 370. What is the highest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**3 - 11*p**2 - 18*p - 5. Let f be s(-9). Let q be f\/(-10)*(-6)\/(-9). Which is the smallest value? (a) q (b) -5\/2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.13 - -0.93. Let i(o) = o**3 + 13*o**2 + 13*o + 13. Let m be i(-12). Suppose -4*p + 5 = m. Which is the nearest to -0.1? (a) -3\/4 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9 - 6. Solve 4*x**4 - 1 + 1 - 4*x**5 - 4*x**2 + 2*x**3 + 2*x**z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 0 = -162\/56111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -2 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 131\/411 + 2\/137. Let d(i) be the third derivative of -n*i**3 + 0*i - 2*i**2 + 0 + 1\/8*i**4. Find the first derivative of d(c) wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 83*h - 4 = u + 88*h, -4*u - 4*h = 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -2*d + 39. Let s be p(14). Suppose -u + s - 2 = 2*m, 2*u + 5*m = 20. Let j = -8 + 11. Solve 3*z - u - 4 = -3*x, -2*x + 9 = j*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -481 - -481. Solve 2 = -o*w + 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 35) + 59 - -25.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 56086\/9089 - -424\/149. Let w = m - 18989\/1098. Calculate the common denominator of 13\/228 and w.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11738097 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1531909, 3063816, 4595721, 6127624, 7659525, 9191424, 10723321?\nAnswer: 12255216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4392 + -8823\/2. Let u = 85\/73189 - 325496983\/21956700. Let o = u + 131\/25. What is the common denominator of o and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-12)\/(-21))\/(2\/7). What is the second derivative of 0*b - j*b**3 + 3*b - b**3 wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 4*p**3 + p**2 - 8*p - 116. What is h(-5)?\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -484, -950, -1414, -1876, -2336, -2794?\n\"Answer: w**2 - 469*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3055 (base 7) in base 14?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -v + 8. Suppose v*f = 5*f + 8. Solve f*z + 16 = 6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12.03 minus 24?\nAnswer: -11.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -37a (base 11) to base 4.\nAnswer: -13002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21738 = 594*q - 33504. What is the remainder when q is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, -3, -1, 11, 10 in descending order.\nAnswer: 11, 10, -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (-14 + 14 - 8*z)*(-46 - 27 + 382*z**2 + 72) as b + y*z**2 + m*z + w*z**3 and give w.\nAnswer: -3056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3\/128 - 241\/640. Which is the third biggest value? (a) j (b) 7 (c) 0.08 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 184?\nAnswer: -1\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = 168 + -169. Is (26\/4)\/(a*(-4)\/48) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:34 AM and 8:44 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 207*x**3 + 6*x. Let i(b) = b**3 + b. What is -6*i(t) + q(t)?\nAnswer: 201*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 747 - 823. Which is the nearest to -3? (a) k (b) -4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the second derivative of -2\/3*l**3 + l + 0*l**2 + 0 - 1\/6*l**4. Solve h(b) = 0 for b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-80)\/(-25))\/8*10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 3, i: 1, u: 1}. What is prob of picking 3 e and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*j + 38*j - 13*j)*((-4*j + 2*j + 0*j)*(-5 + 3 + 0) - 2*j - 4 + 4).\nAnswer: 62*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -1409093820\/13 bigger than -108391831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = -474 + 473.737. Let u = 0.781 - 0.844. Let p = u - r. Which is the second biggest value? (a) -2\/3 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/(o\/(o\/(o\/o**(-3\/8))))))**(1\/4)\/((o**5*o)\/((o*o*(o*o**(1\/6))\/o*o)\/o)) assuming o is positive.\nAnswer: o**(-335\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the third derivative of -q**6\/720 - 3*q**5\/16 + 23*q**4\/24 + 151*q**3\/6 + 3*q**2 - 19*q. Let g(h) be the first derivative of b(h). Factor g(r).\nAnswer: -(r - 1)*(r + 46)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from ooooooeeeeeoo?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -153778270 to the nearest one million.\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (((-40)\/(-140))\/(30\/(-42)))\/(138\/(-10))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 120448348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from aafva?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -14*u + 18873. Let a(h) = -h**2. What is t(a(m))?\nAnswer: 14*m**2 + 18873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 59120*w**3 - w**2 - 63*w + 341?\nAnswer: 354720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 103*x - 35*x - 17*x + 63*x + 77*x + 70*x.\nAnswer: 261*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y**3 + 8*y**2 + 9*y - 6. Calculate w(7).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (77\/14)\/(2\/4). Suppose 4*r = o + 13. Sort 2, 3, r, -2.\nAnswer: -2, 2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 3*y**2 + 7679. Let h(r) = -5660*r. Determine h(v(z)).\nAnswer: -16980*z**2 - 43463140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.15 + 0. Let c = p + -1.25. Let l = -1.369 - c. Round l to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that -21*y**5 - 595107*y**4 - 255042*y**3 = 0.\nAnswer: -28338, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 2, 1, 3\/7, 1.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -3, -1, -77, -20, 12 in decreasing order.\nAnswer: 12, 5, -1, -3, -20, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = v**3 - 2787*v**2 - 5*v - 21. Give l(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -6*(-4)\/18*39 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 5055*i + 293207. Determine c(-58).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -12ec1a (base 16) to base 15\nAnswer: -19767a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 38017 rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*q**3\/2 + 4083*q**2\/2 + 1362321*q\/2 - 18406791\/2.\nAnswer: 3*(q - 13)*(q + 687)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 4*u + 5 = -4*r, 5*u = 2*r + 19. Let f be (-2)\/r*36\/8. Let h = 19 + -24. Is f >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 1 b when three letters picked without replacement from {f: 11, b: 2, d: 2, m: 5}.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2*f + 78. Suppose 0 = 19*c - 25*c - 180. Let w be a(c). Solve -4*z = -2 + w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -5724, -11440, -17154, -22866, -28576, -34284?\n\"Answer: b**2 - 5719*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 221376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 2 = 4. Suppose -4*f + 432 = -b*f. What is the highest common divisor of 24 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c**2 - 2*c - 1. Let a be b(-1). Let u(t) = t**3 + 4*t**2 + 3*t. Let l be u(-3). Suppose 2*z - 3*z + 3 = l. Solve z*d = -15 + a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.27138082 rounded to 4 dps?\nAnswer: 0.2714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-140)\/1750 - 12\/(-25). What is the nearest to u in 5, 2\/5, -1\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(133))\/sqrt(7))**2 - (sqrt(1216)*1 + sqrt(1216))**2.\nAnswer: -4845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -3*d - 5. Let y = -557 + 551. What is s(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 68 + 66 + h + 69 - 201 - 372*h**3 - 1413*h**3 to v*h**3 + a + q*h**2 + y*h and give v.\nAnswer: -1785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + f - 40 = -3*f, f = 3*x - 7. Suppose 0*r = -x*r. Solve 2*t = -3*k - r*t + 10, 4*t - 20 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13891 + 4698 = -641*u for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in fifty-one quarters of a decade?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in y**2 + y - 7*y + 6*y + 112*y**3.\nAnswer: 112*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-36 - (12 - 37)) + 68\/6 + (-122)\/420.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1577741.633 rounded to the nearest one hundred?\nAnswer: -1577700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 + -5. Let n be (-2)\/z*-2 + 5. Is (-1492)\/(-28) - n\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 - w**2 - w. Let v be z(0). Solve v = -p + 1 - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1850635 - -424482. Let w = 7666153 + i. What is w rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 169 (b) 8\/43 (c) -0.5 (d) -5 (e) 0.025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 2*t**2 - 56*t + 416. What is the remainder when v(9) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 2 n when three letters picked without replacement from aaannnnnanannnnnnq.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 386902 is divided by 48096?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12021310.\nAnswer: 2, 5, 7, 171733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2.72 + -2.28. Which is the closest to 0? (a) u (b) -0.5 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -27554603*d**5*v**2 + d**2*v**2 + d**2 + 21*d*v**2 - 9*d*v - 31*d - 5*v wrt d.\nAnswer: -1653276180*d**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -108*c*g**4*r**3 - 2*c*g**4 - c*g**3 - c*g**2*r**2 + 7*c*g*r - 5*g**2*r**3 - g*r**2 wrt g?\nAnswer: -2592*c*g*r**3 - 48*c*g - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1171059 is divided by 3090.\nAnswer: 3039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10 - -14. Suppose 0 = -w*x - 0*x. Let d be x + (8\/6)\/(-4). Sort -0.2, -2, d in decreasing order.\nAnswer: -0.2, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/76 and (-266)\/19 - 29048\/(-2128)?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -h + 1. What is z(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.240855 decades to millennia.\nAnswer: 0.05240855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/(-4) + (-3 - (-54)\/12). Let t(p) be the first derivative of -6 + r*p**2 + 0*p. Let j(k) = -3*k**2. Give t(j(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j - 0*j + 8. Is (10\/15)\/(j\/798) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -160*f + 140. What is a(0)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -20*g**2 + 19*g**2 - 6*g + 11*g. Let s be m(4). Suppose -50 = s*j - 162. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 16826048042 + 201.\nAnswer: 16826048243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 9, d: 7}. What is prob of sequence ydyd?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = -26 + 6. Let f be (-8)\/(-18)*1\/(-4). Which is the third biggest value? (a) 5 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 856373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 6*k**2 + 61*k - 205. Let r be x(-13). Solve 0 = 5*s + 4*c - 19, -2*s - c + r = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o - 1181 = 6266 + 442. Calculate the greatest common divisor of o and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 914284 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = 13 + -10. Let a = -3 + 4. Is b bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7703 - 7673. What is the remainder when 174 is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 83 - 59. What is the highest common divisor of i and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3, 45, -11, 0, -3 in increasing order.\nAnswer: -11, -3, 0, 1, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-1))**(-3)\/(h**(-1\/2))**(1\/21) assuming h is positive.\nAnswer: h**(127\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-4)\/(-14) + (-16)\/56. Suppose 5*s - 72 + 32 = g. Solve -q = -3*q - s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 14636 - 14636. Solve v = -t - 24 + 18 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 46\/(-667) - ((-90)\/23 - -4)\/(348\/246)\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 19462 and 333.\nAnswer: 175158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -6 (base 9) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2940 and 161803488.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:35 PM and 11:41 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**3 - 5*s**2 + 2. Let k(z) = -z**2 - 1. Calculate h(c) + k(c).\nAnswer: c**3 - 6*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0109 less than -278?\nAnswer: -278.0109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 - 1)*(-n + 74 - 23 + 6).\nAnswer: -n + 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -91692 divided by -4\nAnswer: 22923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 120 times -0.26\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -25, 2, 9164 in decreasing order.\nAnswer: 9164, 2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -7977\nAnswer: 5\/7977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 33 - 4*v + 12*v - 6*v + v. Let t be s(-10). Find u such that -3\/5*u**2 + 2\/5 + 1\/5*u + 1\/5*u**4 - 1\/5*u**t = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -r**2 + r**2 - r**2 + (2*r + 0*r + 0*r)*(-3*r - 4*r + 6*r) + r**2 - 4 + 0 - 4*r**2.\nAnswer: -6*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = -88.3319 + -0.6681. Which is the second biggest value? (a) 7 (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -105*w - 14 - 71 + 395*w - 187*w - 105*w.\nAnswer: -2*w - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 2*s**3 - 146*s**2 + 1357*s + 17. Determine u(11).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*i*v**6 - 2*i*v**5 + i*v - 19*i + 4*v**2 wrt v.\nAnswer: -240*i*v**3 - 120*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**2 + 15*k - 61. Calculate n(12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 16 and 30052?\nAnswer: 120208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n**3 + 5*n**2 + 7*n + 7. Let l be c(-3). What is the derivative of -63*s**4 + s**2 + 74*s**l - 22 - s**2 wrt s?\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 5*z**3 - 10*z**2 + 12*z - 21. Let b be j(2). Let q(s) be the first derivative of -4\/3*s**b - 6*s**2 - 8*s - 2. Suppose q(p) = 0. Calculate p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.09 + -0.91. Which is the nearest to f? (a) -1 (b) 2\/9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3136\/61 + 39\/244. Let d = 3067\/60 + o. Which is the closest to -1? (a) d (b) -2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7599 divided by -1237?\nAnswer: 7599\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 143379 and 1?\nAnswer: 143379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*w**3 - 3*w**3 - 2*w**3 - 2*w + 2*w - w**3 - 4*w**3 + w**3 + 4*w**3 + (0*w**2 - 2*w**2 + 0*w**2)*(w - 3*w + w) - 476*w**3 + 9152 - 9152.\nAnswer: -473*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Total of -92 and -0.5274.\nAnswer: -92.5274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 6, p: 2, x: 7}. Give prob of sequence xxp.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes before 7:23 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(9)\/(sqrt(27) + sqrt(3)) + -4 + 2) - (-1 + sqrt(432)*2 + 4))**2.\nAnswer: 329*sqrt(3) + 6823\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(2\/15)*y)**(-6\/13) assuming y is positive.\nAnswer: y**(-34\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(-2 + 1*sqrt(325)*-1))**2 + 4.\nAnswer: 80*sqrt(13) + 1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6660, 6656, 6650, 6642?\nAnswer: 6632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 11 = -3. Solve 2*o + 5 = -y*b + 3, -2*o = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12178729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 3537892 a multiple of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i - i - i)*(5 - 5 - i + (5*i + 6*i - i)*(-320 + 0 + 36)).\nAnswer: 5682*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -447394 greater than -447395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 10.9, 5\/4, 7, 2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10773041 is divided by 211.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 107\/72 and -163\/7812?\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = 4*k - 72, -37 = -4*k - 3*c - 0. Solve -k*v = -4*q - 8*v + 2, -4*q + v = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -13599 (base 16) to base 5\nAnswer: -10014012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 237710.3113 - 237685. Let y = j - 25.3. Round y to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 8546343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 68824, 68444, 68084, 67750, 67448, 67184, 66964?\n\"Answer: b**3 + 4*b**2 - 399*b + 69218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o - 1. Let w be h(5). Let c = w - -4. Let y be 615\/c*(-5600)\/(-21). Round y to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that 1\/3*h**2 + 8\/3*h + 16\/3 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9 - -3. Let k = 8 - 18. Let q = k - s. Which is the smallest value? (a) q (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3\/(-2))\/((-6)\/(-624)). Let t = 1720\/11 + g. Factor 2\/11*v**2 + 2\/11 - t*v.\nAnswer: 2*(v - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 4*r + r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 169078409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ktzk when four letters picked without replacement from kzttatztktttzzt.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6642 and 246.\nAnswer: 6642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 17575549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3227080 or 3227087?\nAnswer: 3227087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 78*z - 73*z - 4*f + 9, -5*f + 6 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in 0.1, 1\/7, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/(35\/10 + -2). Solve -3*o = -g*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6846787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**3 + 8*k**2 - 5*k + 4. Let x = -8 - -11. What is the units digit of c(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14 times -0.4?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -27413 - -60154. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32531796.\nAnswer: 2, 3, 11, 113, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19035.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -18*s - 5*u + 69, 17*s = 20*s + 3*u - 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 6485.8338 minutes in days?\nAnswer: 4.50405125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 5*t = -6*t - 10, -t + 5 = 0. Suppose 7*z - 4*z = -9. Let k = 5 + -2. Which is the nearest to 0.1? (a) z (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3 + 0 - -3) + 39 + -40\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + z - 12, i + 3*z = 158. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 9 = a. Let k be (-5)\/(-75)*-491 + a. Let q = 182\/5 + k. Find the common denominator of 4 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/27)\/((-6)\/18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (-3*(1 + sqrt(108)) - 4*(sqrt(108) + 1 + sqrt(108) - sqrt(108))) - (sqrt(27) + (sqrt(135)*4)\/sqrt(5) - sqrt(27))\/(sqrt(1089)*-2))**2.\nAnswer: 6440*sqrt(3)\/11 + 640729\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, e: 5, b: 1, x: 2, h: 1}. Give prob of sequence eh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**3 + 21*t**2 - 45*t + 27. Let h be g(-23). What is the third derivative of 6*m**2 + 425 - 20*m**h - 860 + 431 wrt m?\nAnswer: -480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-4)*-3)\/((-44)\/176)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8*((-6)\/(-120)*-118 - -6))\/(160\/(-800)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 2*n**3 + 36*n**2 - 31*n - 84. Determine q(-19).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*m**3*u**2 - m**3*u - 2*m**3 + 29*m**2*u**2 + 2*m**2 + 3*m*u**2 + m*u - 8*u**2 + 12 wrt u?\nAnswer: 4*m**3 + 58*m**2 + 6*m - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 2*x - 494726 = 4*q, 0 = 2*x - 4*q + 329824. What is x rounded to the nearest one thousand?\nAnswer: -165000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -177 = -42*s + 33 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -881, -880, -869, -842, -793?\n\"Answer: h**3 - h**2 - 3*h - 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 74, 61, 22, -55, -182?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -1.2 * -0.015\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.03 + -5547.2193.\nAnswer: -5547.1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -153 - 95 = -31*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**3 + 12*n**2 + 4. Let f be v(12). Suppose -5*u + u = -3*l + 1657, -f*u + 547 = l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1111 (base 2) to base 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -6*y + 5*y. Suppose -2*d + 0*d = 0. Sort 4, d, y.\nAnswer: y, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oso when three letters picked without replacement from oossossssso.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -4*c**2 + c - 3. Determine j(-3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is eighty-one halves of a hour in minutes?\nAnswer: 2430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + -1 + 9 + -17 + 1 + 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-3\/7))**10\/(j**13*j**2\/j) assuming j is positive.\nAnswer: j**(-128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -569, -537, -485, -401, -273, -89?\n\"Answer: 2*l**3 - 2*l**2 + 24*l - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000112495219 rounded to 7 decimal places?\nAnswer: 0.0001125","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 7*a. Let g(u) = -3*u**2 + 409. What is h(g(x))?\nAnswer: -21*x**2 + 2863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001191571 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the second derivative of -p**4\/3 - 1516*p**3 - 2585538*p**2 - 5*p + 101. Factor q(c).\nAnswer: -4*(c + 1137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes before 7:21 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -63*w**2 + 39*w**2 + 32*w**2 + (20*w + 29*w - 18*w)*(-w + w - 4*w) as h + v*w**2 + p*w and give v.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11\/450 - 2069\/1800. Find the common denominator of 57\/356 and k.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 139, -3129?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 35530049*c**5 + 49636802*c**2 wrt c?\nAnswer: 2131802940*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-100)\/3)\/50)\/(2*2\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**4 + 253*j**3 - 498*j**2 - 1012*j + 2008.\nAnswer: -(j - 251)*(j - 2)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -2*t + 2*g + 14, -5*g - 25 = 0. Let y(m) = 2*m + 3. What is the remainder when 3\/t + 6 + -6 is divided by y(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -147510 (base 9) in base 8?\nAnswer: -261272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -186*z + 25. What is the remainder when n(-2) is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -14*g - 37. Let j be q(-3). Solve -3*b + j*s - 40 = 0, 2*b + 0*s = -s - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -3*u**2 - 2*u + 2. Let q be r(1). Put 5, 9, 0, q in decreasing order.\nAnswer: 9, 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -3*x + 1206, 4*x = b + 786 + 810. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-22 + 11*o + 22)*(o - 3*o - o) - 3*o**2 + 2*o**2 + 0*o**2 + (1 - 1 + 1)*(-2*o**2 + 2*o**2 + 2*o**2) - o**2 + 4*o**2 - o**2.\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/5 of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -54 + 1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2500 - -35?\nAnswer: 2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = f + 7, 4*s - 5*s - 1 = -2*f. Find the first derivative of 22 + 14*o**s - 13*o**3 - 27*o**3 - 10*o**3 wrt o.\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(272) - sqrt(17)) + sqrt(17) + 1.\nAnswer: 1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 15 = w - 30, 5*i - 5*w = 25. Let c = -43723\/12 + 3646. Find the common denominator of c and (814\/(-165))\/((-8)\/i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1187*m + 4*m**2 - 1226*m + 2413*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -127\/193536 and 173\/54432?\nAnswer: 1741824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*d + 16 - 16 - 4*d**2)*(-92 + 125 - 143) to the form b*d + l*d**2 + x and give b.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*x**5\/9 - 106*x**4\/9 - 62*x**3\/9 + 106*x**2\/9 + 16*x\/3 = 0. Calculate x.\nAnswer: -1, -3\/7, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -10*q**2 + 5*q - 7. Let r be p(4). Let k be (0 - 4\/3)*r. Let z = 69 + k. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**2 + 2*u + 2. Let v(z) = 2*z**2 + 22*z + 22. Let f(p) = -22*b(p) + 2*v(p). Let w(o) = 8*o. Calculate w(f(c)).\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 634422 + 1783.\nAnswer: 636205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*v**3 + 5434*v - 24515 wrt v.\nAnswer: 12*v**2 + 5434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) be the second derivative of p**4\/3 + 5*p. Let s(n) = n**2. What is s(d(v))?\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 0.006794 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10155.9373 - 10156. What is the closest to 2 in 4, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 935 divide 22394885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**4 + 49*s**3 - 666*s**2 + 3564*s - 6696.\nAnswer: -(s - 31)*(s - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the second derivative of -v**4\/96 + v**3\/8 + 9*v**2\/2 - 3*v - 3. Factor j(x).\nAnswer: -(x - 12)*(x + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 5*c - 42 = 0, 0*d + 3*c = d - 14. Let b be 1\/3 - d\/6. Let m(f) be the first derivative of f**3\/3 + 5*f**2\/2 + f + 3. Calculate m(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**3\/3 - 5606*p**2\/3 - 3742*p + 5610.\nAnswer: 2*(p - 2805)*(p - 1)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -86 + 163. Suppose -5*r = -197 + s. Let c = -6 + 12. What is the greatest common divisor of r and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 12662, -5, 4.\nAnswer: -5, -4, 4, 12662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be (99\/(-55))\/(((-18)\/(-20))\/3). Let o be ((-12)\/18)\/(2\/y). Solve 3*m + 1 = -o*g + 5, -2*g = -m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -23a6962 - -3?\nAnswer: -23a695a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -50108 - -76921. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -30 - -214?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5833 in -2840, -0.2, 2\/5?\nAnswer: -2840","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81032429?\nAnswer: 59, 1373431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 621\/(-3)*(-3773)\/260337.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:55 AM and 4:59 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -11 + 27*y + y**3 - 75*y + 11*y + 2*y**2 + 17*y + 13*y. Determine r(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -10534*o. Let i(h) = -3903*h. Give i(k(v)).\nAnswer: 41114202*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -25, -89, -195, -343, -533, -765?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -23 + 19. Is -4 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48190 divided by 48190.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1288568485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o + 402. Let z be t(0). Is -3 + -1*z\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (-13 + 20 + 0 - 3) - -44?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y + 3. Let t be d(1). Suppose a = -3*i + 5347, 0*i = -t*i + a + 7120. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the first derivative of -h**2 - 5*h - 37. Let o be r(-20). Solve o*j**3 + 5*j**2 - 5*j**5 + 2*j**5 + 8*j**5 - 40*j - 25*j**4 + 20 = 0 for j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17012 divided by -4253.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 23 and 92023?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1*50\/(-75)*3\/2. Solve 0 = -2*t + 3*x, -2*t - d = x - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 80 divide 18956400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ce when two letters picked without replacement from escee?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**3 - 8*j**2 + 6. Let m be a(-8). Let z be -2 + m*3\/6. Suppose 5 + z = 3*n. Solve 0 = n*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**2 - 58*l + 796. Give y(72).\nAnswer: 1804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 551.8*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q be 23\/5 - (6\/(-15) - -1). Is q at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -28 - -40. Suppose 0 = -4*k + 6*k + 24. Calculate the least common multiple of 2*(k\/28 + 76\/14) and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 120? (a) 19595 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 126 - 134. Let m be u\/10*80\/96. What is the closest to 2\/3 in 0.06, 5, m?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 - 4.01. Let r = -0.21 - y. What is the third smallest value in 5, r, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/10? (a) 1 (b) 17 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 41764 and 4876?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**6)**28\/(q**(4\/5))**(-39) assuming q is positive.\nAnswer: q**(996\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 4929.635 decades to years.\nAnswer: 49296.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-9 + (-290)\/(-32))*-2\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the first derivative of -3*p**2\/2 + 23*p + 7. What is the remainder when n(-7) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -72*c**3 + 139 wrt c?\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 316.3, -5, -20, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 1010, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -46*o**2 - 639*o + 8. Let c(q) = -30*q**2 - 427*q + 5. What is -8*c(p) + 5*y(p)?\nAnswer: 10*p**2 + 221*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1845132.\nAnswer: 2, 3, 179, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0 - 6 - (18 - 26)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5102 is divided by 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 29*p = 24*p + 53, 4 = p. Solve -4*w + 2 + 3 = 5*i, 0 = -4*w - 3*i + k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(1\/2))**(-5\/8)\/(d**0)**(-2\/39) assuming d is positive.\nAnswer: d**(-5\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 6321 times 0.02?\nAnswer: 126.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.095 and -198773?\nAnswer: 18883.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -36 - -83. Let d = 55 - j. Suppose d*i = -34 + 1466. List the prime factors of i.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.972 + 0.872. Let k = 0 + 0.1. What is the second smallest value in 1\/3, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -3*i**3 + 80*i**2 + 1417*i + 146. Calculate h(39).\nAnswer: -868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 16 in 0.06, -1, -2\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + 4 + 3 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -42, -54, -88, -156, -270, -442, -684, -1008?\n\"Answer: -2*b**3 + b**2 - b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -50 + 54. Suppose 2*q + 16 = a*b + 6*q, 0 = 2*b + 4*q - 12. Suppose b*n = -w + 42, -7*w + 2*w - 2*n = -194. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-3)\/(-639))\/(-2 - 526\/12 - -8). Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + 8, 0 = -x + 2*h + h + 15. Suppose -x*p + 3 = -0*p - 4*b, 5*b = -15. Let l(m) = -m**3 - 3*m**2 + 5*m + 4. Calculate l(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1605086 is divided by 1843.\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-1)\/((-5)\/2))\/((-6)\/15). Suppose 4*i + 0*i = 80. Suppose 3*k - 4*r = -i, r - 2*r + 5 = 0. Are y and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -3*l + 26. Factor 3*r**l + r**3 + 29*r**3 - 15*r**4 - 3*r**3 + 6*r - 21*r**2.\nAnswer: 3*r*(r - 2)*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:55 AM and 12:12 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/3 - r**3 - 8\/3*r**2 - 7\/3*r.\nAnswer: -(r + 1)**2*(3*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5430 and 2400.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 4*d = 0. Suppose 2*z + 2*z - 12 = d. Let k be -5*(-1)\/(-2)*12\/(-240). Sort k, 7, z in increasing order.\nAnswer: k, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7109 - 14219\/2. Let p = 27 - 19. Sort p, j, 2\/11 in increasing order.\nAnswer: j, 2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 203, 386, 569, 752, 935?\n\"Answer: 183*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -3 + 2 - (0 + 2 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-5 + 1)*(-2 + -5). Let t = 7 + -5. Let r = 2 + t. What is the highest common factor of g and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ziziiz. Give prob of sequence zziz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1282*i = -1270*i - 4965072. Suppose n - 29*n = -i. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 y, and 1 r when three letters picked without replacement from {j: 1, f: 1, u: 1, y: 1, g: 2, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*w**3 + 5*w**2 - 80*w - 80.\nAnswer: 5*(w - 4)*(w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(425) + (sqrt(204) + sqrt(204)*4)\/sqrt(12))**2 - (-5*(sqrt(68) - sqrt(68)*2))\/((sqrt(28)*1)\/sqrt(7)).\nAnswer: 15*sqrt(17) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o. Let h(u) = 168*u. Calculate x(h(t)).\nAnswer: 168*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3952279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -20 - -23. Suppose y*m - 3 = 6. Suppose 2*q = m*t - 15, 18 = 3*t - 6*q + 3*q. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {u: 2, v: 1, o: 6, c: 4, j: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -2*g**2 + 110*g - 406. Let j be x(4). Solve -3*m + 5*a = 24, j = -m + a - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 1700*k**3 - k**2 + 12*k - 12. List the prime factors of n(1).\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.136 and -0.111.\nAnswer: 0.015096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 + 1026003160?\nAnswer: 1026003164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-26*m + 78*m + 55*m)*(3 + 11 - 22) in the form u + i*m and give i.\nAnswer: -856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -405*h**3 - 774*h**2 + 84*h + 24 = 0.\nAnswer: -2, -2\/15, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 50*v + 5. Let u be t(2). Let r(n) = n**2 + 3*n + 3. Let x be r(6). Let h = u - x. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100000110010101001 + -10010?\nAnswer: 100000110010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-108)\/567)\/((-8)\/196*-1)*(-1)\/(-1).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -3*n**3 - 2*n**2 + 180*n + 241 - 241 as s*n + i*n**3 + g*n**2 + o and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:04 AM and 12:14 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 0 (b) 0.5 (c) -1\/3 (d) -1 (e) -5\/81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**2 - 1. Let n be j(1). Suppose i + 4*f = -i + 46, 2*i + 5*f - 44 = n. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-5)\/(d*d**(-1))*d**2\/(d**(-5)\/d) assuming d is positive.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16289888?\nAnswer: 2, 23, 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 138123827 to the power of 1\/3, to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 4*s + s - 1 = 0, -2*s = 4*x - 10. What is the nearest to 1 in x, -7\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 35889*0.5\nAnswer: 17944.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k**4\/5 - 8*k**3 - 4*k**2\/5 + 8*k = 0. Calculate k.\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in 13.7, 1, 153, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor h**3\/8 + 23*h**2\/4 - 47*h\/8.\nAnswer: h*(h - 1)*(h + 47)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 25 and 24775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (136 - 124) + -24 - (1 + -2 - -27).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-76)\/(-6)*(-105)\/(-2). Suppose -2*d - z = -440, 0*z - z = -3*d + w. Suppose -d - 257 = -2*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -13283715*p**3*t*y - 25*p**2*t*y - 3*p*t*y - 4*p - 29*t*y wrt p.\nAnswer: -79702290*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -47 = -13*c + 122 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -21 = 4*t + l - 8, -3 = -3*t - 5*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 * -1261253.\nAnswer: 5045012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2506.1 - -2506. What is the closest to -0.2 in 1\/5, -31, o, -0.9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 151856813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11185\/36 - 1253\/4. Calculate the common denominator of (-2)\/4*(-8 + -1) and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 2*t + 2. Let c = 120 - 116. Let p(n) = 2*n + 2. Let v be (1 - 2)*(0 - -3). Give c*p(q) + v*s(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -5*g - 2, -4*q + 4*g + 448 - 432 = 0. Let z = 14.7 + -21.58. Let l = -7 - z. Which is the smallest value? (a) q (b) l (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6191 - -6187. Which is smaller: -119\/23 or h?\nAnswer: -119\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-315)\/14)\/15 + (-2)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = -5*r + 162 - 552, b = 4*r + 312. Is r greater than -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(2 - (1 - -3)). Which is smaller: -1\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12680 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -8668 divided by -394\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i + 19798 = -2*i + 4*m, -2*m = i - 3968. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18 - (27 - -12)) + (1 - -5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q**4 + 160*q**3 + 8670*q**2 + 68040*q + 59535 = 0. What is q?\nAnswer: -21, -9, -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -74*u**2 - 76*u**2 + 25 - 34 + 2*u + 9 as k*u + d + m*u**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 190237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.1 + 0.1. Let q = 0.09 + 12.91. Let h = q + -12.8. Which is the closest to -0.2? (a) -3\/2 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 8 + -104?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 100351884 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 18 + 87?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -19*m**2 - 3 - 14*m**2 - 3*m**3 + 36*m**2 + 3*m.\nAnswer: -3*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(280) + sqrt(280)*3*5)\/sqrt(10))\/(-2*(sqrt(4) - sqrt(196))*2).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 10887 - -1336?\nAnswer: 12334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01118871 rounded to six decimal places?\nAnswer: 0.011189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 40 (b) 12\/79 (c) -18 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74 = 4*n - 186. Let o = -24 + n. Solve o*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 25940 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j + 2*q + 214, 20 = 4*q - 0*q. Let x = 22 + j. Let t = x + 125. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1, 0, 0.03279, 548, 0.5.\nAnswer: -1, 0, 0.03279, 0.5, 1, 548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*h**2 - 3 + 3)*(-121*h + 68*h + 64*h) + (0*h**2 - 3*h**2 + 4*h**2)*(h + 4 - 4) as i + o*h**2 + b*h**3 + a*h and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -107.3 - 20.7. Let i = p + 128.000333. Round i to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 3, -74, 1.99, 2 in ascending order.\nAnswer: -74, 0.3, 1.99, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = -715 - -763. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 179*m**3 + 2*m - 2*m + 358*m**3.\nAnswer: 537*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 688 + -693. Does 13 divide ((-765)\/j)\/(18\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -17 + 4 + 2 - 4*i + 13*i. Let n(a) = 4*a - 5. Determine 7*n(z) - 3*r(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (((-132)\/(-10))\/3)\/((-14)\/35)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 223234 - 2?\nAnswer: 223232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*y = 3*q + 23*y, -3*q - 27 = 5*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2d1166 - 24?\nAnswer: -2d118a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 67 (base 12) to base 3.\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1.582945nm in centimeters?\nAnswer: 0.0000001582945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:02 PM and 9:20 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**3 + 4*h**2 + 1441*h - 20. Calculate the remainder when 10479 is divided by a(40).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.02 and -25810?\nAnswer: 25809.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -49960\/9 bigger than 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 5568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 12) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 101295\/(-117052)*8\/(-15)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f - 3. Let g be w(0). Let i(n) = 7*n + 2. Let k(u) be the first derivative of 2*u**2 + u + 15. Determine g*i(c) + 5*k(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4221534726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 12 minutes before 6:02 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:17 AM and 12:32 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 10*o + 13*o = -87, -2*o + 10 = 0. Suppose 0 = -z*i + 49*i + 4. Solve -i*m - 45 = 7*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 * 108768\nAnswer: -108768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 28 = -22. What is the third derivative of 0*i**6 - 11*i**2 - n*i**6 + i**2 - 3*i**2 wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -7 + (-17 + 2)*(-2)\/6. Let s(p) = -p**3 - p**2 - 6*p - 10. Let x be s(o). Suppose -b + 0*b = 0. Solve -3*i - 22 = 2*g, -2*g = -4*i - x - b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:14 AM and 5:16 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 92384429 and 10?\nAnswer: 923844290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 490\/(-2100)*(-8)\/(-14).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4\/59 - -66\/767. Which is bigger: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(117)\/sqrt(144)*3.\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the third derivative of p**8\/13440 + p**7\/3360 - p**5\/480 + 7*p**4\/24 + 7*p**2. Let c(u) be the second derivative of w(u). Factor c(r).\nAnswer: (r + 1)**2*(2*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2234013210 (base 5) in base 10?\nAnswer: 4985430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 244*c + 105. List the prime factors of p(3).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8.7 + 8.6. What is the second biggest value in 2\/7, s, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 553018408 to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h**(1\/12))\/(h*h**(-5)*h))\/((h*h*h*h**(-8))\/h*h\/(h\/(h\/((h*h*h\/h**(-32))\/h)*h))) assuming h is positive.\nAnswer: h**(505\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**2 - 18*y + 7. What is the remainder when 867 is divided by q(-6)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3019 - -8389. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*o - 2 + 5, -5*i + 2*o = -12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 9, x: 9}. Give prob of sequence ixi.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -2 (b) -0.2 (c) -25\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-7)\/r*r*r*r\/r**(1\/10)*(r\/r**(-2\/5))\/(((r**(-4)\/r)\/r)\/r*r)*(r**(-8)*r**(1\/2))**(8\/19) assuming r is positive.\nAnswer: r**(-163\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 170 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/a**(7\/3)*a**(-2\/55)\/a)**35 assuming a is positive.\nAnswer: a**(-2737\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -28*y**2 - 33*y + 7. Let h(q) = 14*q**2 + 16*q - 3. Let s(j) = -7*h(j) - 3*n(j). Find the second derivative of s(i) wrt i.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (48852\/(-9499))\/((-9)\/56)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s and 1 k when three letters picked without replacement from {k: 13, s: 5}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(1 + (sqrt(36)\/(sqrt(12) + sqrt(84)\/sqrt(7))*-4 + sqrt(864)\/sqrt(8)*-5)**2).\nAnswer: 15365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*z**4 + 3*z**4 - 3*z**4)*(4 - 6 + 1) + 44*z**4 - 13281*z**2 + 13281*z**2 to the form c + q*z**3 + f*z**4 + h*z + u*z**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 822 and 164400?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -1.17547 to three dps.\nAnswer: -1.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*b*n**2 + 10*b*n + b + n**5 + 29501674*n**2 + 1369966*n - 1 wrt n?\nAnswer: -12*b + 20*n**3 + 59003348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**2 - q**3 + 6*q**3 + 5*q**3 - 2*q**3. Let f be r(1). Factor -25*j**2 + 7*j - f*j + j**3 - 6*j**3.\nAnswer: -5*j**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1714999, -3429999, -5144999?\nAnswer: -6859999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 25*i - 4. Let o(h) = 476*h - 77. Give 77*g(s) - 4*o(s).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (0 + sqrt(11))*-1)*5.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1\/4, -80, -2\/961, -1, 0.3, -0.4?\nAnswer: -2\/961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6150*i**2 + 2702*i wrt i.\nAnswer: 12300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = -2*y - 8, 2*y - 2 = -y - 4*f. Suppose -5*w + i - 3*i + 14 = 0, -3*w - 2*i = -10. Let a(m) = -m**2 + m**3 - m**w - 2*m**2 + y - 3*m. What is a(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**2 + 11*r - 13. Let o be a(2). Let h = -71 - -168. Suppose -f = -5*b - 10 - h, 0 = -o*f - 3*b + 507. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-8) + 20\/(-220) + (-605410)\/88. Do c and -6879 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 33 + 24b?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -2*v**2. Suppose -213 - 314 = -17*a. Let s(i) = i - 132*i - a*i. Calculate c(s(f)).\nAnswer: -52488*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 81.94012 days?\nAnswer: 117993.7728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -18890712*q**4 - 3097002*q - 3 wrt q?\nAnswer: -226688544*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q - q - 70 = 0. Let w = q - -47. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7*a**4*o**2 - 28*a**4*o - 25*a**2*o - a*o**2 - 2*a*o wrt a.\nAnswer: -168*a*o**2 - 672*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 24 + -18. Is ((-3)\/r)\/(4\/(-2568)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x. Let b(d) = 4*d. Suppose 5907*v = 6073*v + 664. Let w = -3 + 5. Give v*f(a) + w*b(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**3 - i**2 - i + 1. Let f(b) = -2*b**2 + 2*b - 2. Let q be f(2). Let u(k) = -9*k**3 + 6*k**2 + 6*k - 6. Calculate q*d(x) - u(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2, 9, 38, 97, 198, 353?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 120 - 116. Solve -8 = -m*y + 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -47*(-8)\/(-2 - 0). Let k = -98 - w. Let y(z) = 8*z - 201. What is the remainder when k is divided by y(28)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (6 + -8)\/((-2)\/4). Suppose 0 = -5*c + j*l + 4, -3*l + l = -2*c + 2. Suppose t = -4*h + 3*t + 4, -4*h + 5*t - 8 = c. Solve u = -h*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 - -1 - 1657\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5525901108 and 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) -4 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -1938, -1\/69, -3\/7, 0, 1 in descending order.\nAnswer: 1, 0, -1\/69, -3\/7, -1938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that 2889\/2*a**2 + 243*a - 1458 + 27\/2*a**4 - 971\/4*a**3 - 1\/4*a**5 = 0.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*r**4 - r**4 - 6*r**4)*(-1 - 2*r + 1) + 4*r**5 - r**5 - 2*r**5.\nAnswer: 27*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 367*r + 5181. Determine u(-14).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuojujju. What is prob of sequence uu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7 in 0.4, -5, 0.1, -19\/3?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the third derivative of y**5\/30 + y**4\/24 - y**3\/6 + y**2. Let a be k(1). Solve -5*u + 25 = 0, -u = n + a*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -114964141 > -114964141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w + 3. Let p be q(-6). Let l be ((-3 - -3)\/5)\/p. Suppose l*y - 4*y = -388. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7\/14)\/((-1)\/5).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*s + 2*s**2 + 10*s + 8*s**2 - 29*s.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -1747677*s + 1747673. Calculate a(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/45, 3, 2\/3, -15?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -2\/5, 9, -0.2, 600?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1 - -2)*(-92)\/6. Let u = 84 + n. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12618989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 183832381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(147) + 0 + (sqrt(147)*-2 - sqrt(147)) + sqrt(147) + sqrt(147) - (1 + sqrt(147))*1 - ((-1 + sqrt(147))*-2 - (-4 + sqrt(147)*2)))**2.\nAnswer: -294*sqrt(3) + 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 424, 2895, 9690, 22981, 44940, 77739, 123550?\nAnswer: 184545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 450.8881 minutes?\nAnswer: 27053286000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -30.9 (b) 1 (c) -9\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, o: 1, t: 14}. Give prob of sequence ot.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ggv when three letters picked without replacement from vgggvgxgxvigxxvxvv?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 54725 and 164175.\nAnswer: 164175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 5*q**3 + 5*q**2 - 4*q + 4. Let v(h) = -h**2 - 1. Give -l(y) - 4*v(y).\nAnswer: -5*y**3 - y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -16.06 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-3)\/10)\/((-6)\/8). Let k = 0.19 + -0.29. Let v = -4.9 + k. Which is the nearest to -1? (a) p (b) -2\/13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k**4 - 29438*k**3 - 617176*k**2 + 2057624*k - 1411008 = 0.\nAnswer: -14698, -24, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6739, -6741, -6743, -6745, -6747?\nAnswer: -6749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1661*k + 1666*k = 15. Let q = 13.727 - -0.273. What is the second biggest value in k, q, -2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 638602.\nAnswer: 2, 83, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20 + (17052\/(-18))\/49.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes before 7:30 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 4167*f + 25014. Determine d(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**3 + 9*d**2 + 49*d + 301. Calculate g(-8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 50091 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/6, 3, -0.0268 in decreasing order.\nAnswer: 3, -0.0268, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 27\/4664 and 73\/2332?\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 - 3 - 0) + 1. Let n be 4\/65*(102\/36 + -2). Which is the closest to z? (a) -5 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/4449 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6*n**3 + 1532*n**2 - 2*n - 13632.\nAnswer: -18*n**2 + 3064*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/9, 1, -887, -0.8, -28, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**3 + 46*y**2 - 495*y + 450.\nAnswer: -(y - 30)*(y - 15)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 399471959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -1 + sqrt(4800) - (0 + 5*(sqrt(96)\/sqrt(2) - sqrt(48))))**2*2.\nAnswer: -640*sqrt(3) + 9632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3.2 in 16, -1283\/41, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 576 + 5942. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:07 PM and 5:50 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 1 + 0*g**2 + 3*g**2 + 2*g**2 - 5 - g**3 + 2318223*g - 2318214*g. Let f = -14 + 20. What is k(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.0709 - -3.2291. Let h = 2.1 - 2. Which is bigger: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, 10, 3, 0, 1, -0.614 in decreasing order.\nAnswer: 10, 3, 1, 0.2, 0, -0.614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -17 + 39. Suppose -18 = n - u. Suppose 8*r = n*r + 96. Calculate the highest common divisor of r and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -350640 divided by -180\nAnswer: 1948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + y = 12. Suppose -y*w - 197 = -693. Suppose -w = 2*c - 3*s + 6*s, c - 4*s = -40. What is c rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 10 + 461?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-84)\/56)\/(21\/(-4)) - (-846)\/(-315). Which is the biggest value? (a) m (b) -2 (c) -0.3 (d) 37\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f**2 + 9*f - 8. Let i = 24 + -34. Let s be u(i). Solve -5*d + 4*d + s*j + 4 = 0, 0 = 2*d + 3*j - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.0704 - 0.07. What is p rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**2 + 21*g + 26. Give l(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by -17023\nAnswer: -3\/17023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 24416647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3117851212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00039003 to 6 decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 48526077 + 2?\nAnswer: 48526080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -8*i**3 + 2*i**2 + i + 282. Is b(0) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4680 is divided by 58?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*h + 151 = 45 - 300 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 25*v + 2. Let w(r) be the second derivative of r**3\/3 - 26*r. Determine w(x(n)).\nAnswer: 50*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 8081931989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14928.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 212 and 17278?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -233231432 (base 5) to base 16.\nAnswer: -105713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k\/(k**(-5)\/k))\/k*k)\/k**(4\/9))\/(k*k**4*k*((k\/(k\/k**(-4)))\/k)\/k*k)*((k**1\/k*k)**(2\/11))**(-3\/4) assuming k is positive.\nAnswer: k**(1271\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = 149 + 43. Let u be ((-1)\/(-2))\/(f\/(-101600)). Let q = u - 1034. What is the common denominator of q and -111\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -14 or -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40850.\nAnswer: 2, 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h = 3*h. Sort 0.4, -0.2, h in descending order.\nAnswer: 0.4, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r - 10. Let i be l(13). Suppose -4*b = -4*h - 4, -2*b - 6 = 2*h - 20. Differentiate -2 - h*m**3 - 5*m**3 - m**i with respect to m.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from lqlsbqpp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-783)\/(-290) + 222\/(-185)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2545\/7103 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 600 = -0*l. Suppose l = 11*u - 5*u. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (7\/(-70))\/((-2)\/(-12)). Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3 and 0.6262?\nAnswer: -1.8786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -153, -322, -499, -690, -901, -1138, -1407?\n\"Answer: -y**3 + 2*y**2 - 168*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t + 5 + 1. Let v be t*(-3)\/27*27. Calculate the remainder when 23 is divided by (-6)\/v*(-42)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let z = 2 - 1.9. Let s = 2105.6 + -2108.6. Which is the fourth biggest value? (a) z (b) s (c) 4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (6*sqrt(19)*-1 + sqrt(19))**2 + sqrt(19) + (sqrt(19) - (sqrt(19) + sqrt(2299) + -1) - sqrt(19)) + sqrt(19).\nAnswer: -10*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13321?\nAnswer: 7, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -233459, -466910, -700361, -933812?\n\"Answer: -233451*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -2*h**2 + 11*h - 13. What is a(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 279\/504*-8 + (-3)\/(-7) - -29?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -4*p + 4, -2*p + 0*p = 3*r - 18. Sort -4, 1, p, -22 in decreasing order.\nAnswer: p, 1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**2 - 2*d + 8. Let v be a(-7). Let n = v - -32. What is the remainder when 7 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 776592 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 9349275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3512, 13337, 29724, 52673, 82184?\nAnswer: 118257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1867040 and -0.2?\nAnswer: 373408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(24)*-2 + sqrt(24))\/sqrt(2) - sqrt(48)*2)\/(sqrt(384) - (sqrt(384) - (sqrt(384) - (sqrt(384)*1 - sqrt(384) - sqrt(384)))*-2)).\nAnswer: 5*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**2 - 109268*g - 13300928.\nAnswer: -2*(g + 122)*(g + 54512)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8? (a) -5 (b) -2\/5 (c) 0 (d) 1\/13 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - (9 + -8 + (-12 - (-7 + -27)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 249, 1851, 6229, 14769, 28857, 49879, 79221, 118269?\n\"Answer: 231*p**3 + 2*p**2 - 21*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9585543 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.83 - -0.17. What is the nearest to -0.4 in -1\/3, 0.3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 35759*f + 36275 wrt f?\nAnswer: 35759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -183 (base 11) to base 15\nAnswer: -e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that -5*n**3 + 155*n**2 + 190*n - 960 = 0.\nAnswer: -3, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 62816 divided by 5\nAnswer: 62816\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 48193 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 133\/18 and 149\/600.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence brrb when four letters picked without replacement from {b: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 - 6. Let a = 322107\/5 - 64421. What is the nearest to 0 in m, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) -192290 (c) -10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 4, d: 1, s: 2, q: 6}. Give prob of sequence sqqs.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/48 and 77\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 81588 divided by 78\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -4 + (-3 - (3 - 8)) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*b - 16*b + 319. Let z be (-2)\/3*(-6 - -9). Let v be (3 + 7\/z)*-10. Solve 7*y = 2*y - v*u + 10, u - b = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/(-21)*(1470\/(-244) - -6). What is the third smallest value in 2, n, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -3, 3, 81070, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -h**4 - 2*h**3 + 4*h**2 + 8*h = 0 for h.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be 84\/(-441) + 4\/(-28). Let i = -11 - -15. What is the second biggest value in j, 2\/3, -5, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8976 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3926930910.\nAnswer: 2, 3, 5, 7, 2671, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -4 (b) 11 (c) -32 (d) -9.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -6*w - 76. What is the tens digit of t(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69*l**5\/8 - 1455*l**4\/8 - 12363*l**3\/8 - 27273*l**2\/8 - 7461*l\/4 + 189 = 0. Calculate l.\nAnswer: -3, -1, 2\/23, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -444 (base 6) in base 5?\nAnswer: -1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 - -6. Let g = 1482\/7 + -212. What is the biggest value in g, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(27)\/(sqrt(9)*-2) + (3 + sqrt(12)\/sqrt(4) - sqrt(3) - sqrt(3)))**2 - (-6*-1*sqrt(12))\/(sqrt(144)*2).\nAnswer: -19*sqrt(3)\/2 + 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k - 8*k - 13*k + 475 = 0 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the first derivative of 22*u + 1\/14*u**4 - 4\/7*u**2 - 4\/21*u**3 - 16. Let i(w) be the first derivative of j(w). Factor i(q).\nAnswer: 2*(q - 2)*(3*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 6, n: 1, c: 1, z: 1, s: 3, r: 3}. What is prob of picking 1 z and 2 r?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 4*n - 15 = -39, z + 5*n - 12 = 0. Solve 9 = 4*i - z*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -165 - -190. Solve 0 = 2*c - f + 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 295401 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 722166125 to the nearest one hundred thousand.\nAnswer: 722200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/75)\/((-78)\/130)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - -1) + -10 + 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and -2219.6.\nAnswer: -443.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 88 - 2. Calculate the remainder when t is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 45843, 45845, 45839, 45825?\n\"Answer: -4*t**2 + 14*t + 45833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/(2 + 576\/(-284)). Let i = p - 289\/2. What is the nearest to -0.1 in i, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -d27 + -b?\nAnswer: -d34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 294173, 588347, 882521, 1176695, 1470869, 1765043?\n\"Answer: 294174*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**2 + 2*r - 2. Determine m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -4704 divided by -22791\nAnswer: 1568\/7597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1143101 + -22841021\/20. Suppose -7*v = -22*v - 15720. Let q = v + n. Find the common denominator of q and 31\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) 2.57 (c) -285 (d) 1\/3 (e) 0 (f) -1\/5 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*a**3 - 8832*a**2 + 3858375*a - 7681446.\nAnswer: 3*(a - 2411)*(a - 531)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 813597 and 144815?\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*c + 2*c - c)*(-3 - 2 + 1) - 2*c - c - 5*c)*(28 - 28 + 8*c).\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -9 divided by 61?\nAnswer: -9\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 160 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 104 and 3036332?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 39116.97554 rounded to the nearest 10?\nAnswer: 39120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/5 in -15, -1, 0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that b**3\/4 + 39307*b**2\/4 + 96481434*b - 1643025537 = 0.\nAnswer: -19662, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 4, p: 7, m: 1, b: 2}. Give prob of sequence mp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1188 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*y**3 - 5*y**2 + 2*y**3 + 5*y**2.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Do -64 and -0.79 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6712860 + -38079409. Let g = k - -17366549. Round g to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 231619 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-30)\/18)\/5*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-48)\/(-108))\/(2\/9). Suppose 6*n = -2*n - 16. Sort 3, n, r, -5 in decreasing order.\nAnswer: 3, r, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 26872*g**3*r**3 - 2*g**3*r**2 - 35*g**3 + 3*g**2*r**3 - 468*g**2*r**2 - 11*g*r**3 wrt g.\nAnswer: 161232*r**3 - 12*r**2 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.1088 + 0.5088. Let l = 1 - 1.5. Let r = -0.3 - l. Sort r, 2, u.\nAnswer: r, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -3*x**3 + 25*x**2 - 5*x - 312. Calculate t(5).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1638.4, -3, -39\/79.\nAnswer: -3, -39\/79, 1638.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 575387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 7, a: 1, c: 2, f: 1, r: 3, l: 3}. Give prob of sequence ul.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 18750839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 3720, 7434, 11158, 14898, 18660, 22450, 26274, 30138?\n\"Answer: w**3 - w**2 + 3710*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -25511963 less than -25511964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + 2 + -2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k**2 - 2*k + 2*k)*(0 + 3 - 5) + (-3*k + 25*k + 65*k)*(1 + k - 1).\nAnswer: 91*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 11679346 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**2 + 35520186*b - 105140301122883.\nAnswer: -3*(b - 5920031)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -814384 = 109*u - 2881351. What are the prime factors of u?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*c**2 + 1 + 0 + c**2)*(206 - 106 - 104 - 5*c) to n*c**2 + f + g*c + l*c**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2 + -3 + 4 + -160. Let p = -97 - h. What is the greatest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + g + 56 = 0, 2*f + 5*g = -0*f + 140. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -502466, -1004997, -1507528, -2010059?\n\"Answer: -502531*b + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**3 - 2*j**2 + 44*j + 80.\nAnswer: -2*(j - 5)*(j + 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 109877070 and 2235?\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -2*f - 2, 0 = -k - f - 3*f - 4. Suppose -11 = -5*r - 2*o - 2*o, -2*r - o + 5 = k. Solve -3 = r*l - 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2 and 34873238.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*a**3 - 12*a**2 = 0.\nAnswer: -4\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.03488 + 5.01212. Let x = i - 0.047. What is the nearest to 1\/7 in 2, -4, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -14? (a) 5 (b) -2\/9 (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -198832, -795303, -1789416, -3181165, -4970544, -7157547?\nAnswer: -9742168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 75082 and 8996?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 575965929 divided by 3?\nAnswer: 191988643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0.03137*0.4\nAnswer: 0.012548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(-5) - (56\/10 + 0). Let o be (5 + g)\/4 - 58\/(-8). Solve 5*i + u = -u - o, -3*i = 3*u - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 83 = -t, -413 = -3*t - 3*d - 146. What is the remainder when 269 is divided by t?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 38\/57 + 512\/6. Let q(w) = 3*w - b + 86. Let u(i) = -2*i. What is q(u(d))?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.01 - -0.21. Let h be 3 + -7 + 10 + -1. Suppose h*o - 5 = 0, 20 - 2 = 4*d + 2*o. What is the biggest value in g, d, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (-74 + 60 + 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 12866129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7 - 4. Let d be t*(24\/2 + -3). Let g = -860 + 887. Do d and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 divided by 2273?\nAnswer: -10\/2273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r**2 + 33*r + 121. What is the remainder when 200 is divided by v(35)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 20*t**4 + 512*t.\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = -3*x - 6, 2*x - 7*x = 4*h - 26. Suppose 0*n - 2*n = 4*m - 56, 3*n - 84 = -h*m. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1684, 4560, 9276, 15832, 24228?\n\"Answer: 920*s**2 + 116*s + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-45)\/105)\/(-3*(-1)\/2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -0.4, 1\/892414, -2\/23, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.38 take away -5959.58?\nAnswer: 5959.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -697496.\nAnswer: -1\/697496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.7, -1171, 1, 1\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l + 19. Let o = -542 + 542. Suppose o = -29*z + 54*z - 425. Determine j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a, 1 d, and 1 l when four letters picked without replacement from {d: 8, l: 1, a: 4, h: 2}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(19) + 0 - sqrt(19))*-1)**2 + 0 - (sqrt(171) + -3 + 4 + 0).\nAnswer: -3*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (81 - -1)*(2 + -1). Let h = q + -79. Solve 0 = -h*v + v - 5*d - 10, -v + 3*d = -6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -414*n + 30171. Give v(73).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Convert 508.3864 nanograms to milligrams.\nAnswer: 0.0005083864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-131*q + 24*q**2 - 20*q**2 + 124*q)*(3 - 1 - 3) as m*q + p*q**2 + d and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3557 + -1795. List the prime factors of s.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -21*c**5\/5 - 1128*c**4 - 58044*c**3\/5 - 199008*c**2\/5 - 222912*c\/5 = 0. Calculate c.\nAnswer: -258, -4, -18\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -24525 + -322?\nAnswer: -25251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + 1. Suppose -4*o + 1 = 3*q, -2*q - o = 2*o - 2. Which is the smallest value? (a) 4 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 2206111, 4412223, 6618335, 8824447, 11030559?\n\"Answer: 2206112*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**1)**(-47)\/(h**0*h**4) assuming h is positive.\nAnswer: h**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {t: 8, e: 2, p: 2, k: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5517*b**4 - 82278*b + 2.\nAnswer: 66204*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9 + -16. Let s(k) = 7*k**2 - 51. Let p be s(6). Let t = d + p. List the prime factors of t.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 20, -4, -19, -30, 1 in decreasing order.\nAnswer: 20, 5, 1, -4, -19, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -1106*f - 119009 - 83791 = 2354*f + 80920 for f.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8.6 + -50.6. Which is the smallest value? (a) 5 (b) 2\/15 (c) 3\/5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -9415 by -1345.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n**3 + n - 21. Let g be s(-7). Calculate the greatest common divisor of g and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -59da (base 16) to base 2.\nAnswer: -101100111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (10\/(-14))\/(1\/2*100\/(-1050))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 111.34 - 111.29. Which is the fifth biggest value? (a) q (b) -0.09 (c) -0.9 (d) -1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*g + 42 - 3 - 2*g**2 + 81 + 10*g to y + w*g**2 + a*g and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 8 - 5*x**3 - 2*x**2 + 4*x**3 + 0*x**3 as g*x**3 + y + c*x**2 + b*x and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-3)\/(9\/942)*(-12)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 + 0 + 4 + 3*o**2)*(o + o - 4*o) to the form q*o**2 + j*o**3 + p + m*o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 31, 36, 55, 94, 159?\n\"Answer: r**3 + r**2 - 5*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(-6) - (-430)\/3. Let s be (3 + -6)*(2 - (6 - (10 + -9))). What is the greatest common divisor of o and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 3) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 2*r - 12146. Let s(k) = -2*k**2. Determine v(s(z)).\nAnswer: -4*z**2 - 12146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -81 + 138. Let i = 20 + -15. Suppose -5*n + 65 = -2*j, -2*n + 6*n = -i*j + 85. What is the remainder when q is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -11*a**2*v - 10362*a**2 + 28*a*v - 2*a + 83774171*v wrt a.\nAnswer: -22*a*v - 20724*a + 28*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 32721\/5034*(-166)\/(-13)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = -3*i, -14 = -3*k - 134*i + 138*i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 33918 + -33884. Let p(z) be the first derivative of 0*z**4 - l + 0*z + 6\/17*z**3 + 0*z**2 - 2\/85*z**5. Factor p(f).\nAnswer: -2*f**2*(f - 3)*(f + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 18*(10\/(-4) + 3) + -3. Solve 0 = -5*b + 3*v - 5, -4*b - v - x = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**3 - 55*j**2 + 53*j + 57. Give d(54).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2*i)*((-3*i - 3*i + 5*i)*(3 - 3 - 1) - 3 + 3 + 81*i - 247*i).\nAnswer: 330*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 127\/65835 and 44\/10815.\nAnswer: 6781005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f + 0*f - f)*(10 + 0 - 3)*(-f + 0*f + 0*f) - 62 + 6*f**2 + 62.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, 0.5, 3\/5, 78\/109, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 48 - 45. Let r be (-2 - -7)*c\/5. Suppose t + r*d = -3*t + 109, -4*t + d + 113 = 0. What is the remainder when t is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 2*y + 3 = -5*y, -9 = h - 3*y. Suppose 4*t - 17 = h. What is the second derivative of 84*j + t*j**2 + 11*j**3 - 66*j - 5*j**2 wrt j?\nAnswer: 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 503462 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3\/2*204\/9. Calculate the common denominator of 23\/18 and (k\/(-12))\/(3\/(-21)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**2 - 17*g - 37. Let r(y) = 4*y + 9. Determine -2*h(c) - 9*r(c).\nAnswer: -2*c**2 - 2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the third derivative of t**6\/120 + t**5\/10 - 7*t**4\/24 - t**3\/3 - 5*t**2. Is 29 a factor of r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the second derivative of i**7\/630 + 3*i**4\/4 + 16*i. Let f(j) be the third derivative of l(j). Let u(p) = 4*p. Give u(f(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 11 = -3*z + 3*n, -2*z - 5*n + 1 = 0. Suppose 0 = 56*g + 71 + 310 - 101. Put 4, z, g, 5 in decreasing order.\nAnswer: 5, 4, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and -2.8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -1\/6 (b) 11 (c) 1278.5 (d) -17 (e) -2\/5 (f) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 297 - 297.9. Which is the third biggest value? (a) n (b) 0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6.402 at most 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (-o - o + 5*o)*(-4 - 7 + 5)*(-7 + 0 + 5) in the form r + l*o and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 513*i**4 - 10137*i**3 - 2867157*i + 1?\nAnswer: 6156*i**2 - 60822*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 + 11*x**2 + 6*x - 11. Let s(v) = v**3 - 11*v**2 - 5*v + 10. Let l(i) = 6*s(i) + 5*y(i). Let d be l(11). Solve 0 = d*u + 23 - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2398*v - 2610*v + 6996 = 0 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ns when two letters picked without replacement from snis?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be 15*(2 + (2 - 3)). Suppose 0 = 2*b + 3*s - 0 - 3, 4*b - k = 3*s. Solve 8 = 5*f + b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 38 - 56. Let t = b - -43. Is (5 - 1)*t\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 37656*g*n**3 - g*n**2 - 4*g*n + 8*g + 30*n**3 - 44953 wrt n?\nAnswer: 225936*g*n - 2*g + 180*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 14785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-10)*-5)\/(1\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(66)\/sqrt(3))\/sqrt(11))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1300 - 13332102?\nAnswer: -20000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5, 105, 263, 473, 729, 1025, 1355, 1713?\nAnswer: 2093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 17726*u**3 - 8*u - 1093 wrt u?\nAnswer: 106356*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 4*y + 30 - 27 = 0, 0 = p + 5*y + 10. Solve p*l = -2*u - 17, 6*u + 2*l - 10 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -2\/9 and ((-26)\/(-676))\/((-2)\/(-216)).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8775\/23 + 9434413\/24725. What is the common denominator of 21\/2 and g?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xix when three letters picked without replacement from {g: 1, e: 1, i: 3, x: 2, c: 5, d: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 19941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000061282299 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eidpeeieeiipqieeeei. What is prob of picking 2 i?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 38166704 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-5 + 1 - -15) + -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 35 + 27 = 0. Suppose 0 = 2*u + t*h - 124, -u - 115 = -3*u + 5*h. Calculate the highest common divisor of u and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 97 a factor of 3701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -152 - -156. Suppose -n = s - 20, r*s - 3*s = -5*n + 104. Which is bigger: 19 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2 - 2)*-1 - -88. Is (-18990)\/(-22) - 16\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -35927, -52797, -69667, -86537, -103407?\nAnswer: -120277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1100222111002 (base 3) to base 15\nAnswer: e5a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = 11 + 4. Let f = 15 + z. Suppose f + 10 = 5*b. Solve 2*i - 2 = -b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 35950733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.026 - 2.326. Let l = i + 2.2945. Round l to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 418155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be 13 - 4\/(12\/3). What is the first derivative of 17 + 2*v**2 + v**2 - h wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (21\/(-6) + 3)*-74. Let h = -53 + o. Is 174\/8 + (-4)\/h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -143, -291, -451, -623, -807, -1003?\nAnswer: -1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 140 and 177228716?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c - 1 + 5. Suppose 7*j - 6 = c*j. Factor -j*h**2 + 6*h**2 - 3*h**2 + h.\nAnswer: h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42 minutes before 12:04 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 48076844 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*l + 4*l - 7. Is l at most 7\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -20 - -12. Let p be (-143842)\/(-1298) + (2 - 60\/33). Let b = p + j. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = t + x - 6, 3*t = 3*x - 3. Let v(h) = -t*h - h + 0*h. Suppose 0 = 3*a + 3*f + 8 + 1, a = 2*f + 9. Determine v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 95\/(-76)*(-88)\/(-55)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*r**3 + 8*r**3 + r**3 - r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 144, 1, -7, 5 in decreasing order.\nAnswer: 144, 5, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-224)\/(-42) + 1\/(-3). Suppose 3 = z*v - 87. Let u = 18 - v. Solve u = 4*d - 9*d + 5, 5*d = 4*c - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -2*s**2 + 15*s**2 - 5*s**2 - 6*s**2. Let a(y) = -1 + 11*y + 1. Calculate r(a(v)).\nAnswer: 242*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -11*j**2 - 31*j - 12. Let s(v) = 6*v**2 + 17*v + 5. Give -4*d(z) - 7*s(z).\nAnswer: 2*z**2 + 5*z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 28 = -i. Suppose -2*j = -50 + i. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 2*m - 2. Let f(t) = -t - 47. Let i(o) = 8. Let y(w) = f(w) + 6*i(w). Determine v(x) - y(x).\nAnswer: 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Do 0.12789 and -8\/155 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 - (6 - 4)*-1. Solve m*v + 6 = 4*u, 21 = 4*v + v - u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -84014 = -2900*a + 60986 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5109185.\nAnswer: 5, 1021837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -2*v**2 - 77*v + 117. Determine r(-40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 19 (b) 0.4 (c) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1\/2)\/((406\/(-644))\/(-29)). Suppose 3*x - 19*n + b*n - 138601 = 0, -5*x + 230991 = 4*n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*x - 2 + 2.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -64281, -64230, -64181, -64134, -64089, -64046?\n\"Answer: -t**2 + 54*t - 64334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is cb (base 15) in base 10?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - -5 - 1) + -5 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -57, -319, -769, -1413, -2257, -3307?\n\"Answer: -q**3 - 88*q**2 + 9*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m**3 - 10*m**2 + 6*m + 48. Determine w(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 11293 - 45173\/4. Sort -0.2, a, -0.04, 2.\nAnswer: a, -0.2, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - 103887652.\nAnswer: -103887657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 15) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -v**2 - 343*v - 247.\nAnswer: -2*v - 343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + 9. Suppose 0*p + y = 4*p. Solve -1 = i + 3*h - 5*h, p*i = h - 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 57283279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hh when two letters picked without replacement from {i: 5, p: 5, h: 4, y: 1, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 11 = -5*d - i, -2*i = 3*d - 5. What is the closest to -2\/5 in 5, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 2*x - 10 = -x, -x + 7 = 5*g. Is (-22)\/(g\/(5\/(-2))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 661 times -1.2?\nAnswer: -793.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 35 = 5*b, 27 = -2*b + 7*b - r. Let s be 3\/(-1)*(b + -2 + -4). Suppose s*q = 504 + 102. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-53963)\/(-8302)*((-200)\/13)\/2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d - b - 2*b = 20, -8 = 2*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -0.04814 times -0.06\nAnswer: 0.0028884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -2*s + 11. Let v be g(5). Let d = v + 4. Put 3, 9, d, 4 in decreasing order.\nAnswer: 9, d, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 - 1 = -2*m + q, -3*q = -3*m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*a + 55 = 47*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:09 PM and 7:46 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*j + l = -15*j + 16, 5*l = -5*j + 20 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 324300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 385006151 to the power of 1\/3, to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 114678 and 32132?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1, -2, 4, 22354.\nAnswer: -2, 0, 1, 4, 22354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -2*h. Let u(s) be the second derivative of -30*s + 0 + 0*s**3 + 0*s**2 + 79\/12*s**4. What is u(g(r))?\nAnswer: 316*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21112 - -1?\nAnswer: -21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 39215.4267 rounded to the nearest one hundred?\nAnswer: 39200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a + 5*a + 8 = 0. Suppose 4*s - 2*g + 8 = 0, -2 = -3*g + a*g. Let c = -0.3 + 0.1. Sort 1\/3, s, c in decreasing order.\nAnswer: 1\/3, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/(-2 + (-6)\/(-2)). Let k = 2 + 1. Solve a = -v - k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + -3. Let s = 0.08 - 0.18. Is w equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i + 999 = 1062 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*l - 4193288 = -130*l. List the prime factors of l.\nAnswer: 17, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f**2 - 8*f + 4. Let s be p(8). Suppose 0 = s*d - 48 - 12. Suppose 0*z = -3*z + d. Solve 5*b - 35 = 3*b - z*u, -3*u + 20 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -388b (base 15) to base 11\nAnswer: -9070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -5*l + 10. Let d be x(3). Let j be (-6)\/d*(-160)\/(-24). Let u be 4\/5*(-5)\/(-2). Sort -3, -4, u, j in descending order.\nAnswer: j, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*o - 25*o + 25*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 36, 27, 18?\n\"Answer: -9*r + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w**3 - 8*w**2 + 16*w - 5. What is g(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -5 (b) 0.1 (c) -1.946 (d) -4 (e) -0.4 (f) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 35195 * -0.09.\nAnswer: -3167.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 4) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*h - 5*m, 2*m - 4*m = h + 4. Solve h = -3*b + 9 - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -2*g + 4. What is u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-25 + -7 - -11) + 15 - 18?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nninffhfhnf. What is prob of picking 1 i and 1 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -748*k**2*v**2 + 30*k**2*v + 11*k**2 + 13058*k*v**2 - 6*k*v + 2*k + 40*v - 1 wrt v.\nAnswer: -1496*k**2 + 26116*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2485580 to the power of 1\/2, to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-910)\/(-273))\/((-1)\/9).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 65975 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w. Let g be 19\/6 + 14\/(-84). Let t(n) = -2 + 2 - g*n**2 + 9*n**2. Determine k(t(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t and 2 u when four letters picked without replacement from {c: 7, u: 6, t: 6}?\nAnswer: 75\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -3 (b) -1507 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 17.9, 1\/5, -1\/16, 5, 1\/16, 2\/17?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = a - 0*a. Let v be (2 - -15)*4*(-20)\/(-16). Let q = v - 74. What is the remainder when q is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the first derivative of -h**2 + 2 + 4\/3*h**3 - h + 1\/4*h**4. Suppose -66 + 338 = -68*y. What is c(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1642*x + 4161*x + 11161*x to the form w*x + a and give w.\nAnswer: 13680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0003100595 to six dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1134 and 1134.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2137599 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of 2 and 128.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10 - 14. Is (u\/(-5))\/((-4)\/(-270)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5251 and 50018?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5 - -405?\nAnswer: 40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*w - 2*w - 2*w)*(-6*w - 17*w - 22*w).\nAnswer: -135*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/2375126 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u**4 + 3*u**3 - 3*u**3)*(721*u - 1437*u - 652 + 718*u).\nAnswer: -4*u**5 + 1304*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 3\/1610?\nAnswer: 3\/1610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -33ba (base 14) in base 10?\nAnswer: -8984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1730541?\nAnswer: 3, 181, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sum -167325925.82 and -0.3.\nAnswer: -167325926.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**3 - 5*n**2 + 6. Let z be p(5). Let o be (-276)\/(-10) + (-6)\/(-15). Let r = o - z. Calculate the remainder when r is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*z + 18*z + 13*z + 12*z - 66*z + 24*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 318 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 527?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 24191\nAnswer: -2\/24191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*f - 194 + 597 - 205 - 198.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -3*i**3 + 9*i**2 - 1. Let s(u) = -u**3 + 2*u**2. Give -q(l) + 4*s(l).\nAnswer: -l**3 - l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -7*u - 57. Let o = -36 - u. Let q = -1 - o. Calculate the remainder when 46 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 3, -0.2, -0.16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are -28 and -13809\/499 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 3*v**2 - 382*v + 1887. Let o be a(5). Solve -7*u + 17 - o = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiiieie. Give prob of sequence eie.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-9))**31 assuming y is positive.\nAnswer: y**(-279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 743*j**2 + 18*j - 53. What is the tens digit of i(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3 or 8434664?\nAnswer: 8434664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3.4 - -2.6. Sort 0, 4, b in decreasing order.\nAnswer: b, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 225 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4216 is divided by 187\/5 - 5\/(50\/4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 62888190 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*k + 165 = 45. Let u(c) = -c**2 - 12*c + 3. Let x be u(k). Let h(y) = -y**2 + 7*y. Calculate the lowest common multiple of 20 and h(x).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 3*d**2 + 2*d - 1. Calculate the smallest common multiple of q(-2) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -277729 or -277731?\nAnswer: -277731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 13286*l + 10306?\nAnswer: 13286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 - 11112110?\nAnswer: -11112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 0 smaller than -306\/269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -115 - -112. Which is the nearest to 3? (a) -0.3 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g = 10*j - 13*j - 7, 3*g - 27 = 6*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2894 is divided by 573?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(3\/4)\/(h**(-4)\/h)*(((h\/(h**(1\/4)*h))\/h)\/h)**(2\/13) assuming h is positive.\nAnswer: h**(281\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(1900)*-3 + 5 + (sqrt(1900) - (1 + sqrt(1900)) - sqrt(1900)))**2.\nAnswer: -720*sqrt(19) + 30481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, a: 1, f: 2, u: 2, p: 1, i: 2}. What is prob of picking 1 a and 1 u?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4 + (-150)\/(-42))\/((-2)\/6). Sort 1\/3, 4, z in descending order.\nAnswer: 4, z, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 82*f = 28*f + 48*f + 2100. Solve 0 = 46*j + 24*j + f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-205)\/(-50) + 8\/(-80). Solve 5*b - 15 = 0, -33 = 2*c - h*b - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the third derivative of 3*m**6\/20 + m**5\/60 - m**3\/6 - 5*m**2. Let z be r(1). Is (z - 15) + 13\/1 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4955 - 4355. What is the least common multiple of u and 60?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 146 = -5*s - 6*p, 509 = -s + 2*p - 5*p + 442 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (-6 + -5) - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.9 minus -4.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -3*i**2 + 136*i + 25860. What is k(-73)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/536265964 and -97\/61876842?\nAnswer: 1608797892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than -4\/403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:51 AM and 6:47 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1719151877367 plus -4?\nAnswer: -1719151877371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that t**2\/4 - 11*t\/2 + 10 = 0.\nAnswer: 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + r = -u + 12, 3*r = -3*u + 18. Let w = 9 - u. Suppose -6513 - 2277 = -w*d. Round d to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 5*r + 18 = 0. Let h(j) = j**2 - 5*j + 12. Let f be h(8). What is the common denominator of ((-7)\/(-3))\/(r\/f) and 57\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 58953 and 18848508?\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fffafafffffafyfff. What is prob of sequence afay?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-nine quarters of a week in hours?\nAnswer: 2058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-17)\/((-153)\/(-18)))\/((-46)\/(-2))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 24688321018 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 3*l + 2. Let p be f(4). Let w = p - 11. Suppose -2*c + 3*c = -n - 7998, -w*n = -c - 8006. Round c to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in x**2 - 3*x**2 - x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 39972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -1.5435730934 to two decimal places.\nAnswer: -1.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 21 + 4 - a - 1 - 2. What are the prime factors of d(0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the first derivative of -4*a**5\/5 - a**4 + 4*a**3\/3 + 2*a**2 - 4. Factor h(z).\nAnswer: -4*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23939 is divided by 11534?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 + 0)*(-2*v**3 + v**3 + 4*v**3)*(195*v - 17301 + 17301).\nAnswer: 585*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9*d**3 + 8*d**3 - 4*d**3 + 2*d**2)*(-1 - 5 - 2) to the form f + t*d**3 + b*d + l*d**2 and give t.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:50 PM and 5:13 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1569, -1353, -1127, -885, -621, -329, -3?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 803 by 2523.\nAnswer: 803\/2523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -78 + 48. Let l = 1006 + -971. Let b = l + d. Solve -15 = 5*a + u, b*a - 2 = -5*u + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 10*u**2 + u - 3 - u**3 + u + 4*u. Let x(s) = 2*s**3 - 21*s**2 - 12*s + 6. Let f(i) = -13*c(i) - 6*x(i). Let h = 3 - -2. What is f(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1421, -2073, -3159, -4679, -6633?\n\"Answer: -217*o**2 - o - 1203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 14*a + 7. Let d be z(1). Solve 7*p - d + 49 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -910515594, -910515595, -910515596, -910515597?\nAnswer: -910515598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3635\/43908 - 2\/3659. Suppose 5*t = 2*t - 3. What is the closest to -0.1 in r, 2, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1556*c*v - 488*v + 1 wrt c.\nAnswer: -1556*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 2451043526, 2451043527, 2451043528, 2451043529, 2451043530, 2451043531?\n\"Answer: c + 2451043525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 8:18 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 - 702.\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 4*y - 10 = 5, 0 = -3*q + 2*y - 3. Let w be ((0\/1)\/2)\/(q - -2). Solve -2*g + h - 3 - 6 = 0, 4*g - 5*h + 33 = w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17154456433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -175 - -319. Let i = -21 + 37. What is the greatest common factor of i and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = -4*p + 25, -23*q + 3*p + 3 = -18*q. Solve -8*t + 11*t - 9 = 0, 2*b = q*t - 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -7*g**2 - g + 2. Let i be t(2). Let x be i\/70 + 404\/10. Calculate the highest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 6, m: 1, g: 2, v: 1, y: 5, w: 2}. What is prob of picking 1 y and 3 e?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -100*n**3 + 14*n**2 - 11*n + 110. Let f be k(-16). Round f to the nearest 1000.\nAnswer: 413000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**2. Let o(l) = 17*l - 17*l + 3*l**2. Determine 4*h(j) - 2*o(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the second derivative of -7*y**3\/6 + 5*y**2\/2 + 12*y. Let g(q) = -8*q + 6. Calculate -5*g(x) + 6*u(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -483564214.69999845 + 483564204. Let f = l + 10.7. What is f rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 970 + -967. Let k = 1 + -2. Let i = 130\/7 + -383\/21. Sort i, p, k, 4 in decreasing order.\nAnswer: 4, p, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (3 - 1) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 86576230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -1 + 0*r**2 - 6 + r**2 + 7*r. Let g = -384 - -370. Is q(g) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10 and 228?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 13, 3, 5.\nAnswer: 0, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -13*g**2 - 6*g - 6. Let k(w) = 12*w**2 + 5*w + 5. Let x(p) = 5*f(p) + 6*k(p). Let r(a) = 10*a**2. What is x(r(i))?\nAnswer: 700*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 46269*j**2*l**2 + 5*j**2*l - 224*j**2 + 9*j*l**2 - 3*l**2 + 53*l - 11 wrt l?\nAnswer: 92538*j**2 + 18*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 150 - 6*(-5 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11190855 to the nearest integer?\nAnswer: 3345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from {x: 3, s: 1, u: 1, a: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4.804623 months in millennia?\nAnswer: 0.00040038525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the second derivative of -13*u**3\/3 - 30*u - 6. Let t(j) = -4 + 4 + 2*j**2 + 0. Determine z(t(y)).\nAnswer: -52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1718.98 - 1719. Which is the third biggest value? (a) 3 (b) 8 (c) -3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -380 divided by -19.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - d = 61, -3*x + 6*d + 36 = 2*d. Let i = 29 - x. Let q(u) = -240*u + 8415. Let m be q(35). Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-24)\/16)\/(1\/54). Let h = -14 - m. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**3 - 17*p**2 + 2*p + 24. Give d(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 101332 (base 5) to base 13.\nAnswer: 16a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 544 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 16.97 + -17. Let a = m - 0. Let d = a + 0.03. Which is greater: -6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 26*o - 2. Suppose -2*k + 2 = -6. Suppose 0 = -k*n + 2*n + 12. Let w be z(n). What is the highest common divisor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -1, 200, 5 in decreasing order.\nAnswer: 200, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -61 + 63. Let z(g) = g**2 - 10*g + 10. Let t be z(10). What is the highest common factor of n and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 40682108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 7e7 (base 15) to base 12.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -13 less than 0.13349328681?\nAnswer: 13.13349328681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = s + 2*z - 2, 3471 = -3*s - z + 3487 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 30.64 - 30.64002762. What is w rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 82 - 79. Let d be ((-12)\/(-2))\/q + 2. Solve 5*f - 2*r + 4 = 0, -d*f - 2*r = f + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -4*w**2 - 5*w + 7. Let q(m) = -8*m**2 - 11*m + 14. Give 4*q(b) - 9*y(b).\nAnswer: 4*b**2 + b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/35, 3\/4, -0.4, -2, -3, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -405010 * 19.\nAnswer: -7695190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -7*b**2 + 71*b - 4. Give t(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the first derivative of -4*c + 11\/2*c**2 + 8. What are the prime factors of w(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1055, 1, 4 in descending order.\nAnswer: 4, 1, -1055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:18 PM and 2:59 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tii. What is prob of sequence iti?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 35*c**2 + 4*c + 2. Suppose -3*g = 5*g + 8. Let j be g\/(-2)*4\/(-2). List the prime factors of o(j).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/148 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -176*x. Let f(g) be the first derivative of -g**5\/60 + 171*g**2\/2 - 7. Let k(b) be the second derivative of f(b). Determine v(k(t)).\nAnswer: 176*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 124476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.06 and -53643.\nAnswer: -3218.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/((-10)\/(-4)))\/(1\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 1\/125 (c) -13\/4 (d) 0.5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 2, n: 4, q: 2, c: 1}. What is prob of sequence cnbn?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**4\/6 + 392*j**3\/3 + 343640*j**2\/3 + 54523456*j\/3.\nAnswer: -j*(j - 1352)*(j + 284)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1, 1265587 in descending order.\nAnswer: 1265587, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0053216 to four dps.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -s + 4*y = 25, s + 13 = 3*y - 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/(-3) + (-1)\/1. Suppose r + 3*z + 2*z = 10, s = 4*r + z - 2. What is the third derivative of r*k**2 - 2*k**2 + 2*k**5 + 0*k**2 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(110) + sqrt(110) + (sqrt(110) - (sqrt(110) + 2*sqrt(110))) + sqrt(110))*5 + sqrt(110))\/(sqrt(30)\/(sqrt(24)\/sqrt(8))).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:56 AM and 12:26 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 2*x = -12, -x = 3*l + x - 16. Suppose i + l*i - w = -481, 5*i - 4*w + 811 = 0. Is (-4)\/(0 - (-6)\/i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s + o, -4*s = -2*o + 6*o. Suppose -16*k + 1008 + 16 = s. Suppose -k = -20*n + 24*n. Round n to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/(-24))\/(1\/(-1))*-15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j + 14. Suppose -5*o - 55 - 35 = 0. Let s be n(o). Let m be s\/10*(-15)\/(-6). Let z(i) = -10*i - 1. Give z(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1242340 + 22000?\nAnswer: -1220340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2513731.59159034 + -2509212.90709. Let s = 4526.6845 - m. Let a = -8 + s. Round a to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -46546, -92907, -139258, -185593, -231906, -278191, -324442, -370653?\nAnswer: -416818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - s - 13 = 0, 0 = -c + 5*s - 629 + 656 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, b: 7}. Give prob of sequence bb.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.04 - -1.96. Suppose 3 = m + 2. Let w = -0.2 + 0. What is the nearest to -1\/3 in m, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6 + 12. Let d(i) = i**2 - 6*i + 4. Let k be d(u). Let n(c) = 3 + 0 + c**2 - 5*c - 2 + 3. Calculate n(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 399503.855 rounded to the nearest one hundred?\nAnswer: 399500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 300, 43, 5, -3, 3 in descending order.\nAnswer: 300, 43, 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-23)\/(-5) + 10*(-3)\/6. Let p be ((-2)\/(-26))\/((-5)\/(-10)). What is the nearest to n in 0.1, p, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -3*g + 4*m, -2*g - 4*m + 30 = m. Suppose 4*t - a - 4 = -g*a, 0 = -t - 5*a - 15. Solve -4*l = t*x + 31, -l + 4 - 17 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -59 - -63. Suppose -8 = -d*u + 12. List the prime factors of ((-1)\/(-1))\/(u\/110).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 711*t**2 + 7107*t\/5 - 6\/5 = 0.\nAnswer: -2, 1\/1185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 6*d = 1071. Let y = -69 + d. Let m = -31 + y. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 90013040 divided by 21110\nAnswer: 4264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 d when three letters picked without replacement from vdkdkdkhkd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 777 by 259.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - 8 - (-2 - (7 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -10*a - 9. Let v be s(-6). Let y be (13 - 2)\/(6\/306). What is the greatest common factor of v and y?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 3*l - 33 = 0, -f + 2*l + 0 = -9. Suppose h + 301 = 4*h - 2*s, -5*s - 289 = -3*h. What is the remainder when h is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 3 u when four letters picked without replacement from {s: 3, u: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 50 + -25. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 7*x**2. Let h(d) = 54141*d. Determine w(h(v)).\nAnswer: 20518735167*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -4*w**2 + 7*w + 25. Let s(u) = -u**2 - u + 1. Let i(k) = -6*s(k) + v(k). Let g be i(-9). Suppose -10*z - g = -274. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 478\/1369 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 154133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w - 5*n - 9 = 1, w - 13 = 2*n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*u - 10*u = -60. Suppose -59 = -2*j + 3*f - 8, -j - u*f = -48. Calculate the least common multiple of 30 and j.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*d - 2*d + 468*d**2 - 1840*d**2 + d**3 - 168*d**5 + 453*d**5 wrt d?\nAnswer: 17100*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -38 - 12 = -8*t + 6 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-21)\/(-49)*-1 - 0\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.3, -12\/11, 35, -3, -2\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/(-3) - (108 - 106).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 21545, 21245, 20943, 20639, 20333?\nAnswer: 20025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c - 5*w + 16, 2*w = -3*c - 4 + 28. Suppose 2*i = 4 + c. Suppose -5*g + 149 = 144. Solve -5*r - i = -g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**3 + 5*o**2 + 3*o. Let a be r(-4). Let u be -1 - (-4)\/(a\/3). Let c be (u\/(-4))\/((-4)\/(-16)). Sort 5, c, 4.\nAnswer: c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**4\/4 - 30987*y**3\/4 - 320064723*y**2\/4 - 1101982841289*y\/4.\nAnswer: -y*(y + 10329)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -3*i**3 - 9*i**2 - 38*i - 105. What is j(-6)?\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qiiq when four letters picked without replacement from iiqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 66 - 9. Suppose -t + 0*t + 4*z = -31, -5*z = 5*t - 155. Calculate the remainder when t is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -3*c**3 + c**2 + 2*c + 1. Let m(y) = -2*y + 1. Let f be m(1). Calculate the remainder when 6 is divided by u(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {p: 7, l: 1, c: 3, i: 1, u: 2, o: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Suppose 37*a = 29*a + 656. Suppose 0 = -23*h + a + 125. Solve r + h*r = -50 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 23058000 = 24*n. Round n to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*o = -9282 - 27222. What are the prime factors of o?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 19911033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 1505192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -20, 1, -3, 5 in increasing order.\nAnswer: -20, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -200121101 + -10020?\nAnswer: -200201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**3 + 284*g**2 + 66*g - 18674. Give i(284).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 16726 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the first derivative of y**4 - 16*y**3\/3 + 6*y**2 + 51. Solve p(i) = 0 for i.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 PM and 6:04 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + -1 + sqrt(2736) + 1 + 5)**2.\nAnswer: 144*sqrt(19) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1540 in 1\/2, -2, 1, 1\/3, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 20088 + -20080. Let r = 1.5 + 5.5. Is c bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 315 = s - 132, -849 = -2*s + v. What are the prime factors of s?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h. Let q(f) = 14*f - 7. Let w(n) = -4*d(n) + q(n). Does 18 divide w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1393626052218.53 take away -5?\nAnswer: -1393626052213.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -c**4 + 5*c**4 + 3*c**4 + (-3 + 1 + 0)*(-2*c**2 + 2*c**2 + c**4).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2394 - 22*i**2 + 897*i**3 - 17*i**2 + 74*i**2 - 35*i**2 + i wrt i.\nAnswer: 2691*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 20 = 0, -3*h = 2*l - 7 - 9. What is the third derivative of -j - 5*j**3 + 7*j**h - 4*j**2 + j wrt j?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-3)\/3*((-52)\/13 - -1). Sort -24, -4, g in decreasing order.\nAnswer: g, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 28*s - 41 + 204 + 46*s + 108 + 12. Let t(f) = 69*f + 282. Let j(l) = 6*m(l) - 7*t(l). Differentiate j(g) with respect to g.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14 - 10. Let g(t) = 2*t**3 - t**2 - t - 2. Let x be g(2). Solve -z*i = -4*k - x, -3*i + 4*i - 6 = -k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3135 - 3149. Which is the nearest to q? (a) -1\/4 (b) -0.76 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -14 + 32. Suppose 3*r - 132 = -2*m + 123, 3*r + 483 = 4*m. Calculate the remainder when m is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**3 + 5*k**2 - 2*k + 6. Let f be b(4). Let c be (-201)\/15 - 2\/(-5). Let z = c - -20. What is the greatest common factor of f and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from {l: 1, m: 1, j: 2, a: 1, q: 1, y: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 416139413*s + 526898900 with respect to s.\nAnswer: 416139413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 587336321 to the power of 1\/4, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the third derivative of 0 + 0*a - 15\/2*a**3 - 3\/4*a**4 - 12*a**2. What are the prime factors of m(-9)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 1740*m + 1734*m + 0 + 1.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 99113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4062228*k**3 - 12*k + 401896372 wrt k.\nAnswer: -12186684*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1.483 minus -14?\nAnswer: 12.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2)\/(-5))\/((-2)\/20). Let x be (-3)\/(1\/m*2). Suppose -4*p - 35 = -x*p + 3*v, -v = -4*p + 85. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.96317 to two dps.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 = 4*z - 31 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 28079, 0, -1, 4 in descending order.\nAnswer: 28079, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/63 of a week in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/7)\/(((-273)\/3)\/13).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13356 divided by -2.\nAnswer: 6678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g + 7*g - 365. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {j: 1, c: 5, n: 1, k: 7, s: 2, o: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be 15\/9*-3 - 5. Let q be 3 - 6\/z - 14\/(-35). Put q, -3, 3 in decreasing order.\nAnswer: q, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.728881 millennia to months.\nAnswer: 116746.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**2 - 39*z + 197. Let g be m(-36). Let u = 331 - g. What is the greatest common divisor of 650 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65 - 19 = -28*f. Suppose 2*d = 5*q - 154, 4*d + 122 = 4*q + f*d. Calculate the lowest common multiple of 48 and q.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.43 (b) -5 (c) -0.3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2810 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/(-2)*(-38112)\/11116?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -3*c - 6. Let x(l) = -4*l - 6. Let k(j) = 3*i(j) - 2*x(j). Let g be k(-8). Is (-1)\/g - 1707\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -39 - -48. Calculate the greatest common divisor of 18 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i + 4. Suppose -5*w = -y - 4 + 1, 2*y - 5*w - 4 = 0. Suppose 0 = 3*u - u. Let s(p) = 1 + p + 8 + u - 2. What is y*m(h) - 4*s(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 116456 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -2*k + 5. Suppose 11 + 5 = -2*s. Let o be t(s). Solve 4*y - 5*l - 8 = 0, -3*y + 0*y = 3*l + o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 - 1. Let d(c) = c - 1. Let p be d(q). Is (-106)\/(-4)*(1 - p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 4*p**3 + 2*p**2 + 23*p + 199. Give w(-6).\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((0 - -7)\/(-7))\/(7\/(-21)). Sort -1, 498, -5, l.\nAnswer: -5, -1, l, 498","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4235 - 4242. Which is the fourth biggest value? (a) 1\/10 (b) -36 (c) 4\/9 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4188 - -4194. Let v(c) = -c**2 + 21*c - 15. What is v(u)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**3)**(-3\/8)*(f\/f**(-1\/7))**(2\/33))**11 assuming f is positive.\nAnswer: f**(-1951\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:44 PM and 6:09 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -1250, 1, -1 in increasing order.\nAnswer: -1250, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*q + 18*t - 20*t + 26, 4*t = 5*q + 63 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 439, 706, 1431, 2842, 5167, 8634, 13471, 19906?\n\"Answer: 38*l**3 + l**2 - 2*l + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/10 + 195\/75. Let s be w\/(45\/3)*50\/(-4). Let x = 25 - 173\/7. Sort s, -1\/6, x in decreasing order.\nAnswer: x, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = 5*l - 16000, -7*l + 2*l + 16048 = -3*d. Calculate the highest common factor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -20*o + 25. Let y(r) = -2*r**3 - r**2 + r + 1. Determine y(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*c - 2*c - 36. Suppose c*t = -59 + 707. Suppose 2*d + 5*f + 47 = t, -370 = -5*d + 4*f. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000093481 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 7\/41280 and 29\/1220.\nAnswer: 2518080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the third derivative of -k**8\/840 + k**7\/105 - k**6\/45 - k**3\/2 - 48*k**2. Let a(o) be the first derivative of w(o). Factor a(y).\nAnswer: -2*y**2*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-5)\/3 - 3\/9. Let s(c) = c**3 - 3*c**2 - 5*c + 4. Let v be s(4). Suppose 0 = o - 5*a - 22, 87*o + 16 = 90*o - 5*a. Sort o, v, b in decreasing order.\nAnswer: v, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12614 and 19822.\nAnswer: 138754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 61826.16ml in litres?\nAnswer: 61.82616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**2 + 3*b - 6. Let y be d(3). Let a be 12\/8*(-8)\/y. Find the first derivative of -1 + r**a + 4 - r + r wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 9 and 49.49?\nAnswer: 40.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-664)\/5976*18\/(-3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 + 12b5428?\nAnswer: 12b5428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 1031884.\nAnswer: -5\/1031884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(-2)*q*q)**(7\/12) assuming q is positive.\nAnswer: q**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 180 + -88. Let k = -43 + n. Is 28 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m**4 - 819772*m**3 - 41997943944*m**2 + 378065936512*m + 924117090688 = 0.\nAnswer: -102476, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 4171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/4*(-5 + (-10)\/(-2)). Suppose o = 6*z - 29 - 61. Suppose -3*y + 14 = 5, 0 = -3*n - 5*y + z. Solve n = -4*m + 3*f + 16, -5*f - 4 = -4*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 2*f = 0, 3*s - 4*f - 14 = f. Let u(x) = -x + 2. Let n be u(9). Let o be s\/n + (-939)\/(-21). What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 151560448 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20 - -17 - -14) + 12 + 22.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 279106.59 minutes in hours?\nAnswer: 4651.7765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 759 and 2046.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express ((-5 + 4 + 0)*(0*v + 2*v + 0*v) + 0 + v + 0)*(165*v**3 - 78 + 168*v**3 - 335*v**3) in the form x*v**4 + l*v + i*v**2 + h + o*v**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -6933*j + 62393. Calculate a(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 42 - 21. Let y = s + -24. Which is greater: -0.3 or y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -12 (c) 16\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*o + 11 = 39 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 56276 (base 8) to base 6.\nAnswer: 301530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 12 + -11. Let m be 1\/(-4) + -1 + 1. Is m at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/j**13)\/(j\/(j*j*j**(-9\/8)\/j)))\/(j*j**8)**(10\/19) assuming j is positive.\nAnswer: j**(-2715\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 171, 191, 277, 465, 791, 1291?\nAnswer: 2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyyyyyy. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 0, 379113, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 + -11 + 5 - (-1 - -110 - (-29 + 42))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -12.186477 rounded to 1 decimal place?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(104)*-2 + sqrt(104) + -3*((sqrt(104)*-1 - sqrt(104)) + sqrt(104)))\/((sqrt(16)\/sqrt(2) + sqrt(8))*-5 - (sqrt(40)*-1)\/sqrt(5)).\nAnswer: -2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gnnuakauo. Give prob of sequence aukn.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 + 9. Suppose 8 = c*p + 98. Let l be 27\/p - 0\/1. Is -2 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-6)\/15)\/((-3)\/30). Suppose -t*k = 4*p + 16, 0*k - 5*p - 11 = 2*k. Let l be k\/6 + (-99)\/(-6). What is the greatest common divisor of 40 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1\/((-3)\/(-11)))\/((-32)\/96). What is the hundreds digit of ((-22)\/(-8))\/d - 1306\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -579 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7 + 3*y**2 + 7)*(-9*y - y**2 + 9*y) + 2 + 7*y**4 + 29*y - 5*y**4 - 5*y to m*y**2 + a*y + i + g*y**4 + r*y**3 and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -1 + 3 + 2 - 5 + 41*n. Is 11 a factor of h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -10 + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*l + 47 = -7. Let r(g) = -g**3 - 8*g**2 - 12*g + 10. Let d = 113 + -25. What is the remainder when d is divided by r(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(1\/2)*u*u)**(1\/5)\/(u**4*u*u*u**(-2\/25)*u*u*u*u) assuming u is positive.\nAnswer: u**(-471\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eenn when four letters picked without replacement from {n: 2, c: 2, e: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50499009?\nAnswer: 3, 11, 47, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/4*(-86)\/(-129).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1*-0.238\nAnswer: -0.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -196\/5 - 192\/5*f**2 - 78*f + 2\/5*f**3 = 0. Calculate f.\nAnswer: -1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 20 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 62*b**3 - 23*b**2 - 816 with respect to b.\nAnswer: 186*b**2 - 46*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -66*o - 15. List the prime factors of l(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w - 4 = -7*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -749 - -713 - (-4 - (0 + 2) - -1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -470 + 470. Suppose i = -5*p + 2*c + 1304, -5*p + 3*c - 66 = -1367. What are the prime factors of p?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 402911626 to the power of 1\/2, to the nearest integer?\nAnswer: 20073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -w**5 + 3*w**4 + 3*w**3 - 7*w**2 - 6*w = 0. What is w?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (((-276)\/24)\/23*-1)\/(1\/54)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 897\/5 + -179. Which is the closest to p? (a) -3 (b) 0.2 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 12710 and 57264905.\nAnswer: 6355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-32)\/(-192) + (-10670)\/63180 and -44.\nAnswer: 3159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -13010491.9 and 0.4?\nAnswer: 13010492.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 3*u**2 - u - 7. What is the tens digit of z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 14 = 4*a, 0 = -5*a - 2*n - 2*n + 7. Suppose -a*u - c + 137 = c, -u + 24 = 5*c. Suppose -v + 21 = -u. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-14 - -26) + (0 - 7). Solve -2 + 2 = -g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 78 and 13409136?\nAnswer: 13409136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2178*v - 373842 = -2241*v. Calculate the highest common divisor of v and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 3*o - 6 = 0, -143 = -5*g - 3*o - 137. Let j(k) = -9*k**3 + 32*k. Let l(s) = 5*s**3 - 16*s. Determine g*j(t) + 5*l(t).\nAnswer: -2*t**3 + 16*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 43*u**2 + 0 - 1 - 4*u**2 + 16 wrt u.\nAnswer: 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 26.59808ml to litres.\nAnswer: 0.02659808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -123, -289, -497, -747, -1039, -1373, -1749?\n\"Answer: -21*s**2 - 103*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1899 is divided by 1877.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x - 5*x + 8. Suppose -x*r = -2*k + 4*k - 14, 3*r = -5*k + 27. Solve 0 = -2*z - 0*t + 5*t + 27, -2*z - 18 = r*t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 + -39. Calculate the remainder when 0 + 1 - p\/1 is divided by 3 - (-7)\/((-14)\/(-24)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -3*x + 2*x - 19, -67 = 4*x + 5*i. Let m be 50\/x - (-2 + -1). Let k = -7\/18 + m. Is -1 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-36)\/(-10) - (-8)\/20. Let z be 1 + d + (-1 - 0). Differentiate -5*x**2 + 8*x**2 + z - 2 with respect to x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**3 + 7*k**2 - 6*k. Let c be o(6). Suppose c = -4*s - 0*s + 16. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**2*x)\/x*x*x)\/(x\/(x**(2\/9)*x)))\/((x**(2\/13)*x)\/(x*x*x**(-1))) assuming x is positive.\nAnswer: x**(476\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ikvkvkvkkvkkk. What is prob of sequence kk?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 8, g: 2, z: 2}. Give prob of sequence zzb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3841*t + 2644*t - 8511*t + 2*t + 2*t - 5*t + (0*t - 3*t + 4*t)*(2 - 3 + 3))*(-5*t**2 + 2*t**2 + 4*t**2) to f*t + u + q*t**3 + z*t**2 and give q.\nAnswer: -2025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = -12776*g + 12773*g + 3*w, 0 = -3*g + 9*w + 30 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*t + 50*t - 1386 = 18*t for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 128*h**2*k**2*x - h**2*k - 2*h**2*x + 1768*h**2 - 9*k**2*x + 76*k**2 wrt k?\nAnswer: 256*h**2*x - 18*x + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, i: 2, t: 3, d: 1, j: 4, v: 1}. What is prob of sequence ut?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16 is divided by (-112)\/(-18) - (-4 - (-38)\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -184 minus -26608?\nAnswer: 26424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 3*p**2 - p. Let s be k(1). Suppose 0 = h - 10 + s. Calculate the lowest common multiple of h and (-46)\/(-6) - (-6)\/(-9).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -22 in 1, 4\/7, 4, -14\/11?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddde. Give prob of sequence dd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 8234971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 3*a + 7 = 1, 3*i - 21 = 2*a. What is the remainder when (72\/(-39))\/(22\/(-143)) is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (126 - 6)\/10 + -8 + 2. Find the second derivative of 101*m**2 + 30*m**2 - 8 - 3*m**4 + l*m + 3*m**4 - m**4 + 1 wrt m.\nAnswer: -12*m**2 + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1*-1 + 0 - -20. Suppose 4*z - 4*q - 28 = 20, 5*q - 10 = -5*z. Solve 0 = -3*p - z + u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.869939 millennia to months.\nAnswer: 118439.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 3*c + 30. Let b(q) = 19*q**2 + 2. Let p(o) = 46*o**2 + 5. Let i(u) = -5*b(u) + 2*p(u). Give v(i(t)).\nAnswer: -9*t**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 4 (b) -0.2 (c) 0.085\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -25 + 35. Calculate the greatest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28789 is divided by 720?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l**2 - l + 1. Let x be -4 + 24\/4 + -1. Let c(f) = 4*f**2 - 5*f + 6. Calculate x*c(z) - 5*u(z).\nAnswer: 9*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 PM and 2:39 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 9 - (1 + -2) - ((-102 - -85) + 40)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**2 + 1. Let x = -364 + 365. Let a(u) = 2*u**2 + 11*u - 7. Let l(y) = x*d(y) + a(y). Give l(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13284 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*l + 2*l - 3*l)*(-4*l**2 + 0*l**2 + 3*l**2) - 4*l**3 - 3*l**3 + 5*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-3*(-1)\/3)\/((-1)\/(-208))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 2*h - 2. Suppose -4*a - 6 = 2*d, -d - 2*a = d + 4. Let f(w) = -w**2 + w. Calculate d*o(v) + 2*f(v).\nAnswer: -2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -2, -4, 4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose a**3\/4 + 249*a**2\/2 + 15375*a - 31250 = 0. Calculate a.\nAnswer: -250, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 1437*v + 206940. Determine f(-144).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1b5 - -1?\nAnswer: 1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2126*p + 2199*p = 108 + 38. Sort 1, -73, 4, 0, p in descending order.\nAnswer: 4, p, 1, 0, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in 0.3, 2\/21, 2271, 2\/7, -58, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -123*q**6 + 3*q**2 + 47*q wrt q.\nAnswer: -14760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of a**4*c**3 + 4*a**4*c**2 + 41*a**4 + 173*a**2*c**2 + 4*c**3 wrt a.\nAnswer: 24*a*c**3 + 96*a*c**2 + 984*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**3 - 12*r**2 + 36. Let j be v(12). What is the tens digit of (-9)\/j*1 + 1097\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 25 = -61. Suppose -18 = -p - 2*y, -5*y + 4931 = 5*p + 4876. Solve -v = -8*a - p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -1. Let f(q) = -q - 7. Suppose -2 - 3 = 5*l. Let d(o) = l*f(o) + 5*t(o). What is the units digit of d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 49 divide 8330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -509529638 + -7\nAnswer: -509529645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 24500296 to the power of 1\/2, to the nearest integer?\nAnswer: 4950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) 23 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1 + 205.03389\nAnswer: 206.03389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 666*a + 9. Let j be i(9). Calculate the highest common divisor of 145 and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 36868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -i**2*q**2 + 6*i**2 + 3951143*i*q**2 - 61*i - 7*q**2 + 4145*q - 6 wrt q?\nAnswer: -2*i**2 + 7902286*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by 13410?\nAnswer: 4\/6705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be 10\/(-4)*(-16)\/10. Suppose -n + 0 + m = 0. What is the units digit of (-9)\/(-2 + 5) + n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9111 is divided by 774?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8 - (7 - (-2 + -2))) + (-9 - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m**3\/5 + 4888*m**2\/5 + 19036*m - 1072224\/5 = 0. Calculate m.\nAnswer: -27, 8, 1241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.1 (b) -11 (c) -0.022 (d) 0.4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4368449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y. Let t be g(2). Find the third derivative of -s**5 + 4*s**2 - s**2 + s**t + 2*s**5 wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.984 + -16.684.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25\/((-350)\/112)*130\/50*5\/4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i - 3*y + 2 = -2*i, 0 = -3*i - y - 1. What is the hundreds digit of (20 - i)\/(3\/19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 137, 133, -5, -277, -683, -1223?\nAnswer: -1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -2*u - 4*o, 2*u = 3*o - o + 18. Suppose u = -y + 3*y + 2*w, 15 = y - 2*w. Let x be (y\/156)\/(100\/32 - 2). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 - 1. Suppose a*q - 6 = 5*n + 3, -4*q + 3 = 5*n. Find l such that -l + 6*l**q + 4*l + 0*l + 3*l**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 5*o = -5*n + 76, 76 = 3*o - n. Solve 9 = 5*t + o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -19 - -38. Let c = -43 + 252. What is the greatest common factor of v and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v such that -7*v**3 + 9*v**3 + 7*v**4 - 2*v**4 + v**4 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 7644683.7 nanoseconds?\nAnswer: 0.00000212352325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**3 - 39404*q**2 + 34258711*q + 68675030.\nAnswer: -(q - 853)*(q + 2)*(q + 40255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b**2 + 4 - 4 + (b**2 + 0 + 0)*(0 - 1 + 3) + 5*b - 5*b + b**2 + b - b**2 - b)*(4 - 2 + 5)*(-3 + 106 - 58).\nAnswer: 315*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*o**3 + 0*o**3 + 598 - 1393.\nAnswer: 2*o**3 - 795","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -164 = -8*c - 33*c. Solve 33*o = 35*o - c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2329200 and 2730?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3194 + -2900.4. What is f rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the third derivative of 16*p**2 + 5\/3*p**3 - 1\/24*p**4 + 0*p + 0. Determine m(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -8760*l - 40. Let d be v(-2). Suppose -4078 - d = -6*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0 - -3 - (-2)\/(-2). Suppose d*l - 227 = 45. Is l a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 24 = -4*z, 0*m = -z + 4*m - 6. What is the units digit of 342 - (z\/4)\/((-6)\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -q**4*t**3 - 6*q**3*t**3 + 13*q*t**3 + 2*t**3 + 5*t**2 wrt q?\nAnswer: -12*q**2*t**3 - 36*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-18)\/12 + 15\/(-6). Let p = 2 + -3. Let c = 0.0532 + 0.0468. Put c, d, p in increasing order.\nAnswer: d, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (7 - 3) + (0 - (3 - 2)). Calculate the highest common factor of 9 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -188623*u**2 - 162007 wrt u.\nAnswer: -377246*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*f + 30100 = -62*f. Round f to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10589015 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 0 = 9. Suppose -3*z = 2*l - 85 - 88, 2*z - w*l = 98. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 127 - 133. Suppose 0*q + 5 = q + 2*p, q - 3*p + 10 = 0. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 6*d**3 - 6*d. Let v be (-4)\/(-5)*(22 - 2). Let n be 8\/v*2*-4. Let a(r) = r**3 - r. Determine n*x(y) + 22*a(y).\nAnswer: -2*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 17896 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 128 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be 11 + (-1 - -3) + -1 + -2. Let m be 5 + ((-4)\/s)\/((-6)\/15). Let r(o) = 1. Let c(w) = -w + 3. Give m*r(z) - 2*c(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**2 - 20*j - 62. Let f be i(-4). Calculate the remainder when (3\/2)\/(f\/60) is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2 - 20\/28 - 2\/7. Let f be -4*(-2 + 3 + -2). Let p(b) = -5*b**2 - 4*b + 4 - b**3 - f. What is p(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5351 (base 11) to base 14\nAnswer: -2814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 0.5635925ns?\nAnswer: 0.0000005635925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15 + 10 - 15)*(2*o**4 + 0*o**4 - 4*o**4 + (-2*o**2 + 3*o - 3*o)*(-2*o + 2*o + o**2) + o**4 - 3*o**2 + 3*o**2).\nAnswer: 60*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 251666 and 8832?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v - 1. Let b(n) = -4*n - 4. Suppose 0 = 5*z + 4*r, 0*z = -z - 5*r. Suppose d + 2*d - 6 = z. Give d*u(o) - b(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 6916307 by -300709.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 41.533 and -9?\nAnswer: -373.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*((sqrt(80) - (sqrt(80) - (sqrt(80) + -2))) + (sqrt(5) - (1 + sqrt(5)))*3 + 3))**2.\nAnswer: -400*sqrt(5) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 28 + 131889?\nAnswer: 131917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 429 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-30)\/4 - -6)*(-1)\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v - 160 = -5*o - 9*v - 7*v, 2*v - 59 = -2*o + 5 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/7)\/((-84)\/(-196))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 103291346*j**2 - 1668462 wrt j.\nAnswer: 206582692*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-74)\/(-130) + 237\/1027.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -356583\/56 + 6368. Find the common denominator of -145\/84 and w.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 729515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.7 + -5.7. Put 4, 5, f in decreasing order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 3*s, 5*j + s - 30 = -s. Let x(y) = 5*y - 10. What is the tens digit of x(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:21 PM and 4:56 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*m - 4*g + 148, -4*m - 102*g + 100*g + 122 = 0 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l**3 - 13*l**2 + 13*l - 9. Let y be i(-14). Let 9*r**2 + 12 - 3*r**3 + 7*r - 12 + y*r = 0. Calculate r.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 25*p. Let k(g) = -18154*g. Determine k(n(r)).\nAnswer: -453850*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be 40\/(-20) - (-3 + -1). Solve -4*m - 6 = -h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.178 not equal to 5\/126371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the third derivative of -t**7\/1575 - 23*t**6\/225 + 187*t**5\/450 - 47*t**4\/90 + 923*t**2. Find f, given that y(f) = 0.\nAnswer: -94, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 smaller than 1\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 48*w**2 + 347*w - 490. List the prime factors of m(-33).\nAnswer: 31, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 66*h + 332. Let z be t(-5). Solve 3*a - z*y - 3 = 9, -3*a - 3*y - 3 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -19*n**3 + n**2 - n - 1. Give z(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9 + 13. Suppose a*f - 6 = 10. Suppose g + 3 + 1 = 0, 148 = f*k - 2*g. Solve 3*s - 4*w + k = 0, -s = -4*s + 3*w - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6790 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6264 and 435?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 923*p - 3600 = -20214 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 + -8. Let o be v\/24 - (-25)\/4. Let j(k) = 11*k - 1. Is j(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (18\/(-45))\/((-6)\/(120\/52)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.847475 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 597 or 596?\nAnswer: 596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 8 = i. Let w be 15 + -17 - (-1 + (1 - 2)). Let d = 5 + -3. Solve w = -3*j - d + i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10925856 is divided by 6446?\nAnswer: 6332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z\/(z\/z**(1\/3)))*(z\/(z**8\/z)*z)\/z)\/(z**(4\/7)\/z*z*z**5) assuming z is positive.\nAnswer: z**(-229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/2740 or 0?\nAnswer: 1\/2740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 982110675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 8\/((2\/(-10))\/(59\/590))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 18 = -3*x, -4*u - 7*x + 2*x + 44 = 0. Solve -3*v + 3*a + u = -9, 3*a + 19 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**2 + 48602608*w - 295276688050208.\nAnswer: -2*(w - 12150652)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be 190 + (-20)\/(-15)*-3. Suppose -7*p - s = -13*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-2 + 2)\/1)\/(-1). Let j be -2*(1 + t) - 2. Let b(m) = m + 4. Let d be b(j). Solve d = -5*r + 5*a - 5, 5*a = 3*r - 5*r + 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**2 + 6*c + 10. Let g be y(7). Let h = g + 2. Suppose -h*d = 5, -3 = 2*p + 3*d - 4. Solve -p*u = 5*v - 5, -5*v = -v - 2*u + 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 300374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4.5 - -4.1. Let u(w) = 13*w**3 - w**2 - w + 1. Let o be u(1). Suppose 4*b = 8*b + o. What is the third biggest value in k, 1\/18, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in -5, -2, -2\/7, -0.02, -1037, 0.2, 1\/13?\nAnswer: -1037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18418211.\nAnswer: 7, 2631173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 653 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 282201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 4928, 9737, 14552, 19373?\n\"Answer: 3*m**2 + 4800*m + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -2*j**3 - 2*j**2 + 2*j + 8. Let x(u) = -3*u**3 - 4*u**2 + 7*u + 5. Let g(a) = -2*q(a) + x(a). Let h(f) = -f**3 - 4*f + 10. What is -4*g(i) - 3*h(i)?\nAnswer: -i**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ogllooy. What is prob of sequence ogl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Are 15 and -230 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the third derivative of g**5\/50 - 7*g**4\/60 + 2*g**3\/15 - 2*g**2 + 59. Let l(x) = 0. What is x?\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -781, -777, -771, -763, -753, -741, -727?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 2*b + 585, h - 5*b + b - 205 = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1078737 is divided by 54?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 4, d: 7, x: 3}. Give prob of sequence dgxg.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 27358?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8\/45 + 178\/495. Factor 0*z + 0 + 2\/11*z**2 + b*z**3.\nAnswer: 2*z**2*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2231 and 3589?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 17*p + 32. Let d be q(-11). Calculate the common denominator of (-7)\/10*(-65)\/(-3) and 1*-3*d\/60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 79*a + 8199. What is q(-105)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 0.38966, -18, -5 in descending order.\nAnswer: 0.38966, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -x = -2*b - 15, 17*x - 21*x + 42 = -5*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 2 + (-8 - -9 - -3) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = b**2 - 6*b + 21. Let d be (4 - 2)*(-4)\/8*10. Let q be y(d). Suppose 3*k = 95 + q. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -7*v**2 - 3. Let d be m(2). Round d to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -677*b - 6743. Calculate z(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.03 - 16.53. Let d = 17 + h. Let n = -0.4999966 + d. What is n rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (15\/15 + 0 + 2)*-111. Let o be (-4 + (-9)\/((-81)\/30))*w. What is the greatest common divisor of o and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*w**4 - 5999*w**3 - 150028*w**2 + 87204*w - 12528 = 0. What is w?\nAnswer: -87, -36, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 23491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 10 - -53.975.\nAnswer: 63.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1756 + 888. List the prime factors of m.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -j - 112, 5*j + 169 - 16 = 4*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -447*j**4 + 2368 wrt j.\nAnswer: -1788*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 30420572 and 5096?\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 61 - 187\/3. Let o = 411\/7 - 59. What is the nearest to o in v, -1\/2, -4\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 1847*p**3 - p + 1. Is q(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**3 + 13*x**2 - 18*x + 42. Let c be s(5). Suppose -143*y = -c*y + 126. What is the greatest common divisor of 238 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 4*t - 1 = 0, -z + 0 = 5*t + 6. Let c(p) = 0 + 1 - 29*p - 5. What is the tens digit of c(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 49*252\/14406*4\/(-2)*(-1)\/(-2)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 613038523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -208 bigger than -210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5039 + 5042. What is the remainder when 1309 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 216\/336*(-14)\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -15328 - -306567\/20. Let y(k) be the second derivative of 0*k**3 + 0*k**2 - 7\/12*k**4 - c*k**5 - 13*k + 0. What is the third derivative of y(n) wrt n?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 216394 - 631594. What is f rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 6 + 2)*(-4*o + o - o) + 23*o + 68*o - 12*o.\nAnswer: 87*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 1928391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 321? (a) -9 (b) 0 (c) 173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the third derivative of 7*w**6\/120 - w**5\/30 + w**3\/6 - 6*w**2. Suppose -u - 1 = -0*u. Give m(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.57 + -2.13. Is -18 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 210 (base 5) in base 14?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:02 AM and 1:58 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = 35 + -19. Suppose -o = -2*c + 2*y, 2 - 10 = -c - 2*y. Let j be 2\/(-4) - (-100)\/c. Solve -3*g = -j - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 420477 is divided by 764.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q. Let i(b) = -b - 1. Suppose 0 = -7*c + 8*c + 3. Let o be (0 - -1)*(-6)\/c. Suppose o*d + 5 = -3*d, 5*d + 1 = 4*w. What is w*i(n) - s(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(45)\/(1*sqrt(9)*-5) + -1 + -1*(4*sqrt(1600))\/sqrt(5).\nAnswer: -161*sqrt(5)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 153079704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5303 - 5369 = -22*s. Sort -55, -9, -5, s in increasing order.\nAnswer: -55, -9, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**(-8)*b)\/b)\/((b*b**4)\/b))\/(b\/(b*b\/(b*b**5*b*b*b*b))*b*b\/(b*b*b**(-6)*b*b)) assuming b is positive.\nAnswer: b**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**3\/8 + 2391*b**2\/2 - 19125*b\/8 + 4781\/4.\nAnswer: -(b - 9562)*(b - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**3 + 24*b**2 + 576*b - 65. Calculate z(39).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -100*h + 1973 = -127 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 94, 284, 568, 946, 1418, 1984, 2644?\nAnswer: 3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1251 - 3267 = -7*c. Is c a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -15104 at most as big as -15109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 22 (b) 327 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the second derivative of -x**7\/14 + x**4\/2 + 8*x. Find the third derivative of w(y) wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 19241, 19180, 19117, 19052, 18985?\n\"Answer: -x**2 - 58*x + 19300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -710a22 (base 11) to base 14.\nAnswer: -21a8b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 13 (base 8) in base 13?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of -4*i**3\/3 + 24*i**2 - 144*i + 29. Let l(g) = 0. What is g?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2494 and 9205876.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -8470ab - 6?\nAnswer: -8470b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3865204703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*w + 4*w - 13*w to the form z + n*w and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -2*p - 3. Let n be h(-3). Let k be (0 + n)\/(2\/4). Let z be 64*(380625\/k)\/(-7). What is z rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 134*w + 4850 + 127*w - 264*w.\nAnswer: -3*w + 4850","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes before 7:05 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 2 - 5)*(20 + 2 + 12)*(0*p**3 - 2*p**4 + 0*p**3).\nAnswer: -68*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77*w - 480*w + 55*w = -1392. Solve -31 = -5*c + 2*j, w*j - 7*j = -c + 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 (base 5) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in fourty-seven quarters of a second?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 13, 43, 95, 169, 265, 383?\n\"Answer: 11*u**2 - 3*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 17.64221*63.1\nAnswer: 1113.223451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (8*3\/90)\/((-144)\/(-120))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -5, 2\/7, -2\/435, -2, -0.3, -27, -0.5?\nAnswer: -2\/435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(1\/6)*h)**(-2\/13)*(h\/(h**(-12)\/h))\/h**(-1) assuming h is positive.\nAnswer: h**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*t + 31 - 21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30635.6055 + -42319.\nAnswer: -72954.6055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 30030 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 117 is divided by 98?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y + 2*y - 2*c + 17, 0 = 5*c - 20. Let i = 3 - y. Is i greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28*3.79.\nAnswer: -106.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 6a3e (base 15) to base 8.\nAnswer: 54037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**3 + 6*h**2 + 3*h + 8. Let z = 39 - 45. Give m(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 16*l**2 + 3*l + 5. What is the remainder when n(-2) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 140.1559 + -0.1559. What is the nearest to 0 in r, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3567579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 166 minutes before 1:50 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 1045 (base 9) to base 15\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 9886*v + 124*v - 830830 = 0 for v.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - -8 - (-67 - -78)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -376*p. Let c(r) = -2*r**2. Calculate c(f(l)).\nAnswer: -282752*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the second derivative of 0*k**2 - 1\/6*k**3 + 0*k**4 - 6*k + 1\/4*k**5 + 0. Give d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -204b3c (base 13) to base 2\nAnswer: -10110111111010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -155*c = 27*c + 4277 - 455 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**3 - 4*y**2 + 8*y + 6. Let g be p(-5). Let i = -4 - g. Find the third derivative of i*l**2 - l**3 - 2*l**2 - 4*l**2 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from dogdadgdddedejaeoaaa.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2*m**2 - 4. Let n be (2\/(-3))\/((-8)\/36). Let y(v) = -v + n*v - 3*v + 2 - 3. Let r = 3 + -2. Determine r*l(x) - 2*y(x).\nAnswer: 2*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 + 16 + 14 = 3*y, -17*c = 12*c + 49*c + 4*y + 206 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -302*h - 5. Let w(l) = -453*l - 8. Determine -8*k(y) + 5*w(y).\nAnswer: 151*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**2 - 10*k - 6. Calculate f(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19756 is divided by 49.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -7 - 141389?\nAnswer: -141395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -580, -823, -1108, -1435, -1804?\n\"Answer: -21*g**2 - 180*g - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -2067*t - 43404. Determine b(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the second derivative of -2*d**5\/5 - 3*d**4\/2 + 10*d**3 + 8*d**2 - 545*d. Solve y(m) = 0 for m.\nAnswer: -4, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23.4344 rounded to 1 decimal place?\nAnswer: -23.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 6*o**2 - 2*o + 1. Let y be x(1). Suppose 0*a - 5 = y*a. Is 7 a factor of a\/(-2) + (-82)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s - 429 - 423. Suppose -s = -11*b - 97. Calculate the remainder when 31 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:59 PM and 7:15 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2483995*n**2 + 5042515.\nAnswer: -4967990*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in -2\/29, 2\/5, -136, 3, -4, 5, 0.19?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -190 - -759\/4. Let d = 16 - 6. Let v = 6 - d. Put v, 3\/4, l in decreasing order.\nAnswer: 3\/4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4 < 17706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -32 - -28. Suppose 0 = -3*w - 3. Put w, p, 2 in increasing order.\nAnswer: p, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10.8 plus 49080667.35475?\nAnswer: 49080656.55475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**2. Let f(q) = 5*q**2 + 2*q - 5. Determine -f(c) - 6*j(c).\nAnswer: -11*c**2 - 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 3*a**2 - 5*a + 5. Let t(j) = 7*j**2 - 11*j + 11. Let b(d) = -9*k(d) + 4*t(d). List the prime factors of b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7973609 < 7973609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p*p**7*p)*p*p**8)\/(p**(7\/5)*p*p**7*p) assuming p is positive.\nAnswer: p**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 51086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1969552881?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 136 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -709102, -709125, -709162, -709219, -709302, -709417?\n\"Answer: -m**3 - m**2 - 13*m - 709087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 29 and 20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u**3 - 12*u**2 + 30*u + 32. Let z be k(-14). Find the common denominator of (z\/224)\/(1\/54) and -85\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -2, -5, 26 in ascending order.\nAnswer: -5, -2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q - 4 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18948*p**2 + 37910*p**2 - 18953*p**2.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/112 and -49\/396.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fffi when four letters picked without replacement from iiiiiffffifffiifffii?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 3306.74 years to months.\nAnswer: 39680.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6151 - -6150.97485. What is p rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 183.218 - 1.018. Let t = -182 + p. What is the closest to 1.2 in 3, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.2 + -1.2. Let y = -2647.3 + 2637.3. Which is the second biggest value? (a) y (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9252829 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 1636361?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = n**2 + n + 1. Let h be w(0). Let d(f) = -16*f - 7. Let v(x) = -x - 1. Let k(i) = -d(i) + 6*v(i). Give k(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8 - -11. Solve -b*j + 0*j = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 6810.8955*0.02\nAnswer: 136.21791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3471000 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: Express -1099 - 768*a**2 + 1099 + (-a + 1 - 1)*(2 + 3*a - 2) as u + j*a**2 + x*a and give j.\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 678955?\nAnswer: 5, 251, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.38 - -1. Let t = -0.08 - c. What is the third smallest value in 0.2, 7, t?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 - 19 = 27*s. Let y = -0.46 - 27.54. What is the fourth biggest value in -0.5, -2\/3, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5361*x**4 - 50383*x**2 wrt x?\nAnswer: -128664*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 + 306607538649.\nAnswer: 306607538650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/23712 and -41\/8736.\nAnswer: 165984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -13946200 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*v - 5*h - 20, 2*v + h - 5*h = 8. Suppose k = 4*k - 6. Suppose -k*s = -8 - 8. Solve v*j - s = 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**2 + 11*x + 14. Let o be p(-11). Suppose 2*c + 8 = o. Factor z**5 + 4*z**4 + 3*z**2 + 12*z**c + 2*z**4 + 0*z**5 + 5*z**2.\nAnswer: z**2*(z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*d - 53 - 11 = 0. Solve d*o + 3*f = -4, 2*o + 4*f = 4*o + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (89 - (-81 + 98)) + -80?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the first derivative of 3*u**2\/2 + 7*u + 7. Let t be r(4). Solve -4*a + 3 = t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**2*o*o**(1\/4))**(-4\/19)\/(o**(2\/21)*o*o**(-1)\/o*o*o)**47 assuming o is positive.\nAnswer: o**(-20812\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a = 2*k - 367 + 417, 0 = -5*k - 3*a - 107 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/(-3) + (-7851)\/(-11011). Let l be (224\/91)\/(-8)*(-1)\/(-242). Let r = l - s. What is the common denominator of r and -59\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 5354, 5269, 5116, 4865, 4486, 3949, 3224, 2281?\n\"Answer: -5*f**3 - 4*f**2 - 38*f + 5401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2168288, -2168278, -2168264, -2168246, -2168224?\nAnswer: -2168198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 11 - 10 + 2 + 512*x**2.\nAnswer: 512*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -87*d + 8. Let l be g(2). Let j = l + 171. Solve j*u + 12 = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -156 - -155.9999581. What is z rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 16271 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 223c6 - -7?\nAnswer: 22400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 135592 is divided by 45179.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13900 divided by -5.\nAnswer: 2780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -192*h - 2 = i - 190*h, -3*i - 6 = h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 9 - -2 - (-5 + (0 + 3 - 2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 410299?\nAnswer: 410299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 0*x**3 - 9*x**3 - 5*x**2 + 8*x**3. Let q be b(-5). Suppose p = -q*p + 5. Solve -m = p*y + 2*m - 8, -3*m = -4*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 2*j - 2. Let h(y) = -19*y + 40. Let c(b) = 2*h(b) + 14*i(b). List the prime factors of c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6194478?\nAnswer: 2, 3, 593, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 33 + -13. Round p to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhxh when four letters picked without replacement from hxhnnhnnn?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -59146, -236993, -533400, -948373, -1481918, -2134041, -2904748, -3794045?\nAnswer: -4801938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -322123111013 (base 4) to base 9.\nAnswer: -31734005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 38\/(3\/((-63)\/(-6)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -14837\/1428 and -9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*t + 15 = -5*t. What is the third biggest value in 1, t, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:36 PM and 2:14 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(-4)*(68\/(-6) + 18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0*(-6)\/18*3. Let d = -1 + 1. Let s be (1 - d)*8\/14. Which is the closest to o? (a) s (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 34 - 4 = 0. Let l(q) = -q**3 + 7*q**2 - q - 4. Let t be l(4). Suppose r - t = -r. What is the greatest common divisor of r and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 4*y - 41, 2*y - 11 = 2*w - 1. Calculate the highest common factor of 36 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/56*12\/9*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22 - (-21 - -1) - (16 + -24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.59 and -198568547207.\nAnswer: -198568547206.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2047 - 2015. Solve -5*i + 3*v + 18 = 0, 2*i - 30*v - 4 = -m*v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1294294 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 3 + 7*t + t**2 + 2 + 3. Let x be u(-7). Suppose 2*m - 30 + x = -3*j, 3*j - 4*m + 8 = 0. What is the remainder when j is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:10 PM and 6:48 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/4*(-220)\/(-990).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1069 + 2589?\nAnswer: 3658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:39 AM and 12:52 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 187501112?\nAnswer: 2, 389, 60251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 14*l - 4*l**2 - 14*l + 2*l**2 - 16 in the form b + m*l**2 + k*l and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -3b3e (base 15) in base 3?\nAnswer: -122100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4\/(-10) + 527\/5. Let q be -9*(38\/(-3) - -1). Suppose 8*n = 3*n + q. What is the greatest common factor of l and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 47*z - 1. Let c(t) = -1 - 3 - 38*t + 41*t - 14. Let g be c(8). What are the prime factors of i(g)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 3*k - 47 = 0, -l = -5*k + 4*k + 10. Let f(h) = -h**3 + 11*h**2 - 11*h. Let g(u) = -2*u**2 + 2*u. Determine l*g(x) - 2*f(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 27636378493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from gggj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 307949137 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n, 1 q, and 1 w when three letters picked without replacement from {n: 3, w: 2, q: 7, o: 5}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 3 = -t. Let s be ((-2)\/t)\/((-2)\/(-3)). Let h be (3 - s) + -3 - -11. What is the greatest common divisor of 96 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:52 PM and 9:18 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -603*s - 11*s**4 - 1 + 22*s**3 + 1428*s - 823*s - s**2 to u*s + y + t*s**4 + z*s**3 + r*s**2 and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 0*m + 0 + 1 - 11*m - 21*m in the form p*m + s and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/81 (b) -126 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -13*i**3 - 205*i**2 - 52*i - 15. Calculate v(-12).\nAnswer: -6447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 22362336 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9.9 + -10. What is the smallest value in -4, t, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4966068607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is s in 4*s**2 + 14600*s + 13322500 = 0?\nAnswer: -1825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b - 4 + 4)*(-3*b**2 - b**2 - 4*b**2 + (2 + 2*b - 2)*(b + 0 + 0))*(-2*b + 2*b - b**2).\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1024 and 11764.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1816462213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 96 - 96.304. Let w = y + -0.086. Round w to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*b + 340*b - 14490 = -372*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/(((-120)\/(-5))\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 25513 and 10153337?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -a + -47?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 52, 62, 74, 88, 104, 122?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -993*n + 8768 = -169 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes before 8:29 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -209*h**2*t**2 + 990516*h**2*t + 10*h*t**2 + 23143433*h + 1 wrt h?\nAnswer: -418*t**2 + 1981032*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 353, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 5468904869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be 428\/20 - 2\/5. What is the highest common factor of 42 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23137837.\nAnswer: 23137837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 888233*b**2*k + 479224*b**2 with respect to k.\nAnswer: 888233*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 + 23. Calculate the remainder when -2 + -1*(2 - (81 + -3)) is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (-2*sqrt(19) - sqrt(19)) + sqrt(19) + (-2*sqrt(190) + sqrt(190))\/sqrt(10) + sqrt(19).\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 + 6. Suppose 0 = -4*h + v*m + 12, -h + 2*m = -2*h + 13. Solve h*q + 0 = -5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 434*l + 9136. Determine y(-21).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**1*v**8*(v**(-2\/7)*v)**(-1\/61))\/((((v\/(v\/(v\/(v**(2\/5)*v))))\/v*v)\/(v\/(v*v**6)*v))\/(v**(1\/4))**(-13\/7)) assuming v is positive.\nAnswer: v**(33511\/8540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 7, 2, -8050, -4 in descending order.\nAnswer: 7, 2, 1, -4, -8050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 26\/(-198) + ((-235)\/(-94))\/((-90)\/(-8))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -345 - 59 = -66*u - 8 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -361, -728, -1093, -1456, -1817, -2176?\n\"Answer: t**2 - 370*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-3 - -1) + 1 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 10084479 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -9, 14, 3\/2, 0.079, 0 in decreasing order.\nAnswer: 14, 3\/2, 0.079, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -145*y**2 - 2*y - 130*y**2 - 11*y**2 - 172*y**2 to f + v*y + x*y**2 and give x.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -206 (b) -3 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -105*h - 593 + 3953 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 233905*d**3*n**3 - d**3 + 9*d**2*n**2 - 210*d*n**2 - 9*n wrt n.\nAnswer: 1403430*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 24353, 24348, 24341, 24332, 24321?\nAnswer: 24308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:06 AM and 2:09 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the third derivative of c**6\/120 + 7*c**5\/30 - 31*c**4\/24 - 11*c**3\/2 - 42*c**2. What is the tens digit of b(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 1274\/3449?\nAnswer: 1274\/3449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*l - 14*l = -112. Suppose -3*c = -c - 6. Suppose c*k = -k + l. Let r(w) = w**3 - 7*w**2 + 2*w - 7. Give r(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, -3, 2 in increasing order.\nAnswer: -3, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 13\/6 <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 147873939?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3369756 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 15310 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/(-2)*8\/66. Let x = 0.039725 - 0.239725. Which is the second biggest value? (a) x (b) 9 (c) -3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10706, -21454, -32202?\nAnswer: -42950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**3 - 8 - 7 + 15*l**2 - 5 - 9 + 33. Give b(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 29 - 25. Suppose -5*n + 3180 = 5*r, -s*n + 3 + 17 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 less than -73.064?\nAnswer: -65.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -368 + 403. Calculate the common denominator of -179\/210 and v\/(-24)*(-26)\/(-91)*13.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 284418017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the second derivative of 0 + 1\/12*a**4 + 3*a + 11\/2*a**2 + 11\/6*a**3. What is the units digit of s(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 115 + 8\/36 + (-2)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 45 and 3303?\nAnswer: 16515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be (8\/6)\/(-2) - 78\/(-9). Suppose n - 1 = -3*s, 2*s + 0*n - 4*n = -4. Suppose s = 10*d - u*d. Sort d, 17, -4, 1 in increasing order.\nAnswer: -4, d, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16006.\nAnswer: 2, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:53 PM and 7:47 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uudd when four letters picked without replacement from dbuudubub?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 8a + -3?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 2 = 4*m, 0 = 5*y + 4*m - 9 - 5. Let o be (y\/(-2)*1)\/(64\/(-256)). Determine n, given that 18*n**3 - 4*n**2 - 10 + 9*n**4 + 10 + n**o = 0.\nAnswer: -2, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*s**2 + 8*s**2 + 24*s**2 + s**2.\nAnswer: 38*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -99.367 - -21.\nAnswer: -78.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 2*k = -3*h - 265, -2*k = 2*h + 134. Let t = -64 - k. Suppose 5*p - 4*f - 9717 = t, -f + 1413 = p - 534. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 677335?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 47.9903g to micrograms.\nAnswer: 47990300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhhcc.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be 25*1*(-3 - -2). Let h = 10 - g. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b + 25*b = -28*b + 1598. Solve -b - 134 = -28*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 151 - (-535150)\/(-3542) - (1430\/(-46) + 0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 338, -556, -2058, -4180, -6934, -10332?\nAnswer: -14386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*m = -189*m + 949 + 1021 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rfr when three letters picked without replacement from ffrfrfffff.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 92746048.\nAnswer: 2, 31, 46747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 31 - 61. Let q be (-10)\/(-6) - 70\/t. Suppose -q*j = -10*j + 12. Solve -u + 8 = u + 2*z, -4*u + 22 = -j*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = -5*t - 14, -3*y + 1 = -3*t - 2. Let m be 12\/3*(-1 + t\/8). Let h be (m*1)\/((-9)\/9). Sort 0, 2, -6, h in descending order.\nAnswer: h, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Round 1.8899797 to 3 dps.\nAnswer: 1.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 58\/(-2) - 4130\/(-590)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (19\/((-931)\/42))\/2*7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes after 1:27 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - b)*(1 + 2*b - 1)*(2*b + 8*b - 4*b).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be 8\/28 - (-24)\/(-182). Let p = 25\/78 - h. Let l be (-3)\/(-2*20\/8). Which is the nearest to -2\/7? (a) l (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**3 + 6*u**2 + 6*u - 10. Let f = -14 + 19. Let y be z(f). Let c = y + -635\/2. Find the common denominator of c and 103\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/5, 0, -89774, -5, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:06 PM and 7:16 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 155105 and 3241000?\nAnswer: 2315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 9, 824, -152 in decreasing order.\nAnswer: 824, 9, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3591.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 41 - (24 - 22 - -32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7319479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -1869.233 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 5*b - 4*b + 6*b - 2*b**2)*(-44*b - 49*b + 30*b)*(2*b + 2*b - b).\nAnswer: 378*b**4 + 567*b**3 + 378*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*k**2 - 3365 + 3365.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the second derivative of -q**5\/20 - q**4\/2 + 2*q**2 + q. Let m be (-6)\/(-1 - 4\/(-2)). What is the units digit of w(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1361?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 5 + 0 - 5*o**2 + 8*o + 5 - 2 - o**3. Let u = 6 - 12. Determine x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*k + 2*v = 2*k - 20, 12 = -4*k + 2*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i - 8. Let o be 0 - ((-1)\/(-1) + -1). What is c(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -0.12, 16, -1, 0.5, 5\/8, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 360*y**3 - 4*y - 349*y**3 + 5*y wrt y?\nAnswer: 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - (2 - -8) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3431337493?\nAnswer: 211, 727, 22369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l + 5*i - 100, -10*l + 12*l - i = 64. Solve -97*x - 5*c + l = -92*x, -x - 3*c = -12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -2*v + 4*u + u, -3*u + 57 = 3*v. Let k(l) = -6*l + 94. Let q be k(8). Let p = q - v. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, k: 2, h: 5, t: 1, z: 6, i: 2}. What is prob of sequence izkm?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.133*-0.31.\nAnswer: 0.04123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12*-6*5\/((-240)\/(-6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 6 = 3*c, -7*c + 2*c + 6 = -y. Let w = y + 9. Solve -w*u = -7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 2*r**3 - r**2 - 4*r + 11. Let b be q(-5). Calculate the common denominator of 3 - (b\/72 + 3) and -85\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -25*h + 0 + 0 + 26*h. Let r(g) = 2*g**3 - 3*g. Let c(k) = k**3 + 6*k**2 + 4*k - 4. Suppose 5 = 3*q - 4*q. Let u be c(q). Determine u*r(z) + 3*i(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the third derivative of -y**7\/840 - y**6\/240 + y**4\/48 + y**3\/24 + 2*y**2. Suppose x(m) = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -341166 by -40.\nAnswer: 170583\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*u + 4*u - 5*u)*(-4*u + 44*u + 4*u).\nAnswer: 308*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12624 - 4624. Does 125 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the first derivative of 79*z**3\/3 - 155*z - 323. Differentiate k(g) wrt g.\nAnswer: 158*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -44622*m - 223089. Give z(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 8526 + 2*g - 8526. Let c(d) = -15*d**2. What is a(c(i))?\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 997369085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uayayayuuuyayyy. What is prob of picking 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5575, -5715, -5969, -6385, -7011?\nAnswer: -7895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*t = -46*t + 22*t - 114 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 24\/19, 0.2, 1\/3, -1\/6, 0 in ascending order.\nAnswer: -1\/6, 0, 0.2, 1\/3, 24\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 37389421*v**2. Let t(j) = -j**2. Give l(t(h)).\nAnswer: 37389421*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 4325, 4322, 4317, 4310?\n\"Answer: -n**2 + 4326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 33930 (base 14) in base 7?\nAnswer: 1031160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -260e5 (base 16) to base 15.\nAnswer: -312bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 7 + 5 + 6 - 3*r - 4*r + 4*r + r + (0 + 1 + 0)*(0*r + 2*r - 3*r) + 0*r + 0*r - r + 3*r - 5*r + r + r - 2*r - r - 18 - r + 18 - 1 + 1 + 2*r.\nAnswer: -6*r + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, g: 5, y: 2, s: 2, w: 4, n: 1}. Give prob of picking 1 n and 1 s.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.002589856 to six decimal places.\nAnswer: -0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 8 (b) -54 (c) -4 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = 2*z + 4. Let f be 2\/(4\/z + 0). Let v be 82 + (f*2)\/1. Calculate the greatest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -36 - 880?\nAnswer: -1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 92\/10155 and -14\/38589?\nAnswer: 192945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5 + 4 - 10) + 5 + (-1 - -34)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 363589967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be 56\/12 - 4\/1. Factor 0 - 2\/3*l**3 + 2\/3*l**2 - n*l**4 + 0*l + 2\/3*l**5.\nAnswer: 2*l**2*(l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15303, -15261, -15219, -15177, -15135, -15093?\nAnswer: -15051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7107 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is q in 9*q**5\/4 + 4565*q**4\/4 + 530367*q**3\/4 + 17707459*q**2\/4 - 3553725*q - 1006875 = 0?\nAnswer: -358, -75, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence whwz when four letters picked without replacement from {h: 4, b: 1, w: 6, z: 3}.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 21693961589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**3 + 7*u**2 + u - 3. Let v be i(7). Suppose 37 = g + x + 2*x, -92 = -v*g + 2*x. What is the remainder when g is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t**3\/8 + 5*t**2\/2 - 63*t\/2 - 648 = 0. Calculate t.\nAnswer: -18, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4102 + -4?\nAnswer: -4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the second derivative of p**6\/30 - p**5\/5 + p**4\/2 - 2*p**3\/3 + p**2\/2 - 5*p. Let n(o) = 0. What is o?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -7*a**2 + 5*a - 85. Let z(c) = 12*c**2 - 8*c + 131. Let r(h) = -8*y(h) - 5*z(h). Let t(v) = 3*v**2. Calculate r(t(u)).\nAnswer: -36*u**4 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -33095038 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w + 2*l + 48, -w - 34*l + 31*l - 32 = 0. Which is smaller: 7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 9\/13, 29\/226, 2\/3 in descending order.\nAnswer: 9\/13, 2\/3, 29\/226, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(133) + (sqrt(133) - (sqrt(133) + sqrt(133)*2)))*-1 - sqrt(133)*-2*-3)\/(sqrt(504)\/sqrt(8) + -2*sqrt(112))*2 + 4)*3.\nAnswer: 12 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2 + 3*y + 3. Let f be k(5). Let o = -1 + f. Let r = o - -8. Which is greater: r or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*d**3 + 0*d**3 + 2*d**2 - 2*d**2.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 4*i = 3324, -590*v + 586*v + 4*i = -4424. What is the lowest common multiple of v and 220?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 0.4, -200, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that 2*f**5 - 3115030*f**4 - 37380562*f**3 - 133947202*f**2 - 186903184*f - 87221512 = 0.\nAnswer: -7, -2, -1, 1557527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p + 5*g + 55 = 0, 5*p - 7*g = -4*g - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ifigfiifi. What is prob of picking 1 g and 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -91*r = -120*r + 1218. Calculate the remainder when r is divided by 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 4*v = 4, 5*v = 2*t - 10 - 16. Solve -p + t*p = -10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -5, -525 in decreasing order.\nAnswer: 2, -5, -525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the third derivative of d**5\/30 - d**4\/6 - 7*d**3\/6 - 8*d**2. Let o be i(-3). Find c, given that 10*c**3 - o*c**3 + 4*c**2 - c - c + 11*c**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 0.52 (c) 0.1084 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 11*u**2 + 11*u - 654. Let p(c) = -5*c**2 - 5*c + 324. Give -6*n(z) - 13*p(z).\nAnswer: -z**2 - z - 288","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k\/k**(-6)))\/k*k**8*k*k*(k**(1\/2)*k)**(1\/60))**(-22) assuming k is positive.\nAnswer: k**(-1331\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 - 1)*(-2)\/(-4). Suppose -3*u = -f*u - 12. Suppose r + 0*r = -u*p + 287, -147 = -2*p + 3*r. What is the greatest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the first derivative of 24*y + 21 + 1\/4*y**6 + 0*y**5 - 39\/8*y**4 - 8*y**3 + 9*y**2. Suppose n(b) = 0. What is b?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 1, 1\/110, -38?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 21*t**2 - 12. Let h(r) = -37832*r - 37826*r + 75655*r. What is h(j(b))?\nAnswer: -63*b**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*u + 12*u + 3*u + 0*u - 3*u + 5*u + (0 + 0 - 1)*(-42 + 30*u + 42) - u - u + 0*u to the form k + y*u and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xtz when three letters picked without replacement from txtxz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 231 in -2.8, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3753014171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.2539 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(-3)*26\/(-312)*(-2052)\/3800\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -0.01742 times -277\nAnswer: 4.82534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/2 - (-5)\/2. Suppose f = -11*t + 10*t. Let a(b) = 5*b + 1. Determine a(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 6*k**2 + 307*k - 18. List the prime factors of s(-63).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 974126242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve y**5\/4 + 35*y**4 + 275*y**3\/4 - 35*y**2 - 69*y = 0 for y.\nAnswer: -138, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes before 7:12 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 0, -9515, 4, -5.\nAnswer: -9515, -5, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Let h = -11 - -12. Suppose 0 = 2*r - 3 - h. Does 11 divide (12\/(-15))\/(r\/(-55))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 72*k = 24*k - 60*k - 6286 + 20434 for k.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(539)*-2 + -1)*-1.\nAnswer: 3 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 276732 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 33 (base 7) to base 10\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -55224*a**4*n - 2*a*n + 2753*a wrt a?\nAnswer: -662688*a**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3.46 - -1.89. Let f = c - -1.570166. Round f to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(90) + sqrt(90))\/sqrt(9))\/((sqrt(180) - sqrt(180)*-3) + sqrt(180) + sqrt(180)).\nAnswer: sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**3 + 57*k**2 + 164*k + 116. Determine h(-54).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 4.3, -2\/15, -5, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/15114 and -31\/6870?\nAnswer: 75570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (-680)\/204*9*16\/60?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/11 - -402*77\/(-847)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the second derivative of -3*m**5\/20 - m**4\/12 + m**3\/3 + m**2 + 4*m. Calculate the remainder when 2 - 2 - 5\/(-1) is divided by u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 45761911, 91523828, 137285745, 183047662, 228809579?\nAnswer: 274571496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-52 + 0)*(-522)\/36. Suppose 4*o + v = 17334. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 32307 and 2.\nAnswer: 64614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**2)**(-7)*(x*x**(-7))\/x*x**(-1\/2)\/x*(x\/x**(1\/7))\/x**(-7)*((x*x\/x**(-3\/7))\/x)\/(x\/x**9) assuming x is positive.\nAnswer: x**(-73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 27091801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the first derivative of -c**4\/4 + 38*c**3\/3 - 107*c**2\/2 + 76*c + 2037. Calculate m(35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1799167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 167685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/705 and 29\/55?\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 671547\/28 - 23987. What is the common denominator of -11\/182 and o?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 376\/6*6561\/(-8748).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -91788 and -31.4?\nAnswer: 2882143.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1448)\/2896)\/((-3)\/(-390))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -16, 154, 4, -2 in decreasing order.\nAnswer: 154, 4, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/2 - 34\/4. Let d = i - -12. Let u(a) = 7*a**2 + 4*a + 4. Let l(x) = 15*x**2 + 9*x + 9. What is d*l(c) - 9*u(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 1829 = 3*l, 2*l - l - h = 612. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/3, -4, -7, -4\/13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-4444)\/3)\/(-2) - 252\/378. Let h = n - 534. What are the prime factors of h?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 844 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -6*v**2. Let a(g) = 8*g**2 + g - 18. Let t(d) = -8*d**2 - d + 15. Let u(z) = 5*a(z) + 6*t(z). Determine c(u(p)).\nAnswer: -384*p**4 - 96*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 11\/6 (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*v + 14*v - 5*v.\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 3*v - 7 - 7 = 0, -2*k = 5*v - 27. Suppose -k = -a + 3*l - 7, 4*a = 4*l - 8. Suppose q - 2*q + 4*d = 2, -10 = -4*q - 2*d. Solve a = 3*r + q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 149 minutes before 12:12 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -2*f + 2*n, 3*n - 21 = -4*f + 35. Let s = f + -10. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1741*f**5 + 16*f**4 - 22*f**3 - 1542876*f?\nAnswer: -34820*f**3 + 192*f**2 - 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(84)\/(sqrt(12)*1*2).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (15\/(-3))\/(-5)*403\/31.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 145 + -129. 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: Is 870784433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*s - 296 = 144. Calculate the highest common divisor of s and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*l - 15*l + 24 = 17*a, -4*l = -a - 8*l + 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -46 + 0. Let y = 45.99999963 + p. Round y to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 425, 1701, 3815, 6767?\n\"Answer: 419*p**2 + 19*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 208 = 2*x - 344. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the second derivative of -u**5\/20 + u**4\/3 - u**3\/6 + 3*u**2\/2 - 619*u. What is k(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 406595.6mm?\nAnswer: 406595600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 3, l: 13}. What is prob of sequence pll?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 16*v**2 - 9369*v + 612679. Give i(75).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z + 5. Let g be r(5). Suppose -4*m + 5*u + 25 = g, -m - 11 = -3*m + 3*u. 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 d be (-10)\/(-15) - (-4)\/(-6). Suppose 0*n + 2*n + 2*p - 6 = d, 2*n = -p + 3. Suppose r + 3*r - 2*i - 362 = n, 4*r - 377 = 5*i. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from rvhrveghrkggkg.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -9, 0, -47\/238?\nAnswer: -47\/238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from duuununudnuuxn. What is prob of sequence nuxn?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 122 divide 90524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**3 + c**2 - 9*c - 1. Let h be p(-3). Solve -h*t - 4 = -7*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10636\/3 + 3545. Let s = 0 - 0. Let v = 1419\/8 + -177. Which is the closest to s? (a) v (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 161\/6? (a) -2 (b) 22 (c) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2d974 - -45b?\nAnswer: -2d519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5827 is divided by 2960.\nAnswer: 2867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15*11\/275*10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:29 AM and 7:24 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 634 = 3*x - x. Suppose 0 = -4*v - 2*u + 7*u + 667, 2*v + 3*u - x = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19408019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 139829 greater than 135494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t + 82. Give d(-19).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1061168*b**3 - 520333*b**3 - 540825*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2921009 and 2457.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -2*u**2 - 3*u + 9. Let z(q) = -q. Let h(m) = f(m) - 7*z(m). Suppose 3*l + 0 - 9 = 0. Let g be h(l). Solve 4*y - g*y - 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 5, 60, -6\/11, 3 in increasing order.\nAnswer: -6\/11, -0.2, 3, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - 4\/(-3)) + 14\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**3 + 12*w**2 - 10*w + 1. Is h(11) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the second derivative of 0 + 3*p + 0*p**2 + 1\/20*p**5 + 1\/6*p**3 - 1\/6*p**4. Factor o(z).\nAnswer: z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4079 times 0.1\nAnswer: 0.04079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -i + 14. Let w(n) = -36*n - 157. Let p be w(-4). Do i and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*y**3\/5 - 216*y**2\/5 + 1167*y\/5 + 1386\/5.\nAnswer: 3*(y - 66)*(y - 7)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 1155992 = 4*a, 3*a - 577984 = 5*a - 4*j. Round a to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(171) - sqrt(171))*6*-5)\/(-2*sqrt(1089)*-4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*a + 5*a + 4*a**2 - 22*a**2 - a.\nAnswer: -18*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1729 + -1727. Let x(d) = -1 - 1 + 2 + 2. Suppose 5*f + 31 + 4 = 5*k, f = -3*k - 23. Let q(m) = m**2 - m + 11. Calculate f*x(g) + i*q(g).\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -13 divided by 788\nAnswer: -13\/788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1590273 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r = 169*s - 168*s + 11, -4*s - 4*r = 20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 2445*a - 53218. Calculate n(22).\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 70.948*-2\nAnswer: -141.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the first derivative of r**4\/24 + r**3 + r**2\/2 - 9*r - 80. Let m(g) be the second derivative of z(g). Determine m(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 239*r**2. Let w(n) = -3*n**2 - 3*n - 54. Let v(a) = -12*a**2 - 4*a - 72. Let b(g) = 3*v(g) - 4*w(g). Determine h(b(k)).\nAnswer: 137664*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.063 - -0.043. Let o = 0.101 + -0.201. Put o, f, -0.4 in decreasing order.\nAnswer: f, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 297\/6 + (-6)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 24 - -b?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 69 by -4.\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*x**2\/8 + 31*x\/4 - 6.\nAnswer: -(x - 8)*(7*x - 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k + 12 = k, -16 = -4*i + 3*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**2 - 7*v - 12. Calculate g(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + 4 = -8, -a + 2 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -913 or 57.429?\nAnswer: 57.429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 + -1. What is the highest common divisor of z and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -12993, 9, 3, 1, 4.\nAnswer: -12993, -4, 1, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**3 - 12*i**2 - i + 15. Calculate z(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80 = 4*n + 52. Suppose 6*w = 2*w + 12. Let a(c) = 2*c - 3. Let i be a(w). Solve n = -j + i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2888 divide 7367288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k + 1 = 7*k, -2*k = -3*a - 20. Let n be ((-20)\/6)\/(a\/198). Let x = 265 - n. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16800 and 1120.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (44*q - 75*q - 41*q)*(-44 + 45*q - 41 + 206*q + 84) in the form v + h*q + a*q**2 and give h.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2667.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1458778.\nAnswer: 2, 729389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the second derivative of m**6\/10 + 18*m**5\/5 + 11*m**4\/2 - 12*m**3 - 69*m**2\/2 + 2028*m. Determine o, given that f(o) = 0.\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbbbjbbb. Give prob of picking 3 b.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1 - -104?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 7*v + 107. Let f(r) = 8*r + 107. Let h(y) = 4*f(y) - 5*p(y). Calculate the smallest common multiple of h(-36) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 90 - 263*m**3 + 261*m**3 + m - m - 2*m to g*m**3 + u*m**2 + i*m + w and give w.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 224708235\/23 + -1288925094485\/131928. Let m = s - 3\/1912. Calculate the common denominator of 17\/9 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l**5\/8 - 11619*l**4\/8 + 84065*l**3\/2 - 217348*l**2 + 411468*l - 266570 = 0.\nAnswer: 2, 23, 11590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -18*y - 47. Let m(t) = -t**3 - 24*t**2 - 9*t + 318. Let j be m(-23). What is c(j)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 5, -2, 57, -5, 5\/2?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 3*x**2 + 3785*x + 26533. Determine f(-7).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the first derivative of -2*c**3\/9 + 2*c**2 - 6*c - 3. Factor r(b).\nAnswer: -2*(b - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 484*j + 428*j - 1538*j = -496*j - 4680 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - (-21 - (-7 + -11))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -124055832380 less than -0.17?\nAnswer: 124055832379.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*u - 3*a + 4, -u = u - 3*a - 10. Find the first derivative of -v + 2 + u*v - 1 wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**3 - 38*m**2 + 367*m + 14956. Determine s(-37).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be -3*22\/(-6) - -4. Let c = 23 + -13. Find the third derivative of -i**2 - c - z - 8*i**3 + 25 wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8966299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/7 (c) 6 (d) -1\/846\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 35 + -39. Let r(h) = 3*h**2 - 2*h - 6. Let g be r(q). Suppose -2*m + 3 = -4*z - 7, -5*m - g = 5*z. Sort -2, 2, z.\nAnswer: z, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -13255 (base 6) to base 8\nAnswer: -4003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3640961.\nAnswer: 83, 43867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: ((-63)\/(-42))\/(((-35)\/(-2))\/(-5))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -437, -403, -359, -305?\n\"Answer: 5*j**2 + 19*j - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 647 is divided by -1 - 0 - (-65 + 12 + -7).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -28832671, -28832665, -28832659, -28832653?\nAnswer: -28832647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -195 + 191. Suppose 4*k + 7 = n, 5*n - 20 = 3*k + 2*k. Is 14 a factor of (-3528)\/(-96) + k\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 + 2. Solve -5*b + 2*v = 31, -v = 2*b - m*v + 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6696\/5859)\/((-18)\/(-14))*-3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (2 - 15) + (38 - (5 + -1))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 74.73 * -3.\nAnswer: -224.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + u + 2*v = -12, -4 = -3*u + 2*v. Sort -3, u, 3 in ascending order.\nAnswer: -3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48 = -3*j - i + 686, 3*j = -4*i + 749. What is the remainder when j is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 70 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -12 divided by -43\nAnswer: 12\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(77) + (6*(sqrt(77) + 2*sqrt(77) + sqrt(77) - sqrt(77)) - sqrt(77)))*-2)\/((sqrt(99) - (sqrt(99)*-1 - sqrt(99)))*-1 - sqrt(99)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 19 + -10. Let z = -7 + m. Is (1 - 0) + 72\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.17 + -1.43. Let n = x + 1.1. Which is the smallest value? (a) 5 (b) 1\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 53 - 54. Put h, 0, 5, 2 in descending order.\nAnswer: 5, 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/6630 and 143\/408.\nAnswer: 26520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -407*x + 21947 = 5260 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve o = -2*f - 12 + 6, 0 = -2*f - 3*o - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-2)\/60)\/((-9)\/36). Which is smaller: -2\/7 or z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3)\/(-6) + (-1004)\/(-8). Let p = -1\/58 + -403\/174. Calculate the common denominator of p and 440\/c + 2\/7.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes after 4:16 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the third derivative of -w**5\/15 + w**3\/6 + 10*w**2. Suppose -8 = -4*h + 8. Suppose p = -5 + h. Calculate s(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43 divided by 741639?\nAnswer: 43\/741639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 79 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 t, and 1 k when three letters picked without replacement from {k: 2, v: 9, s: 4, f: 1, t: 2, p: 2}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m - 4*d + 3*d + 12, 3*d - 6 = 0. Let q(s) = -8*s - 3. Let g(a) = 1. Calculate m*g(k) + q(k).\nAnswer: -8*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from {r: 3, q: 2, p: 4, l: 4, a: 4, n: 3}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 851998 and 2684114?\nAnswer: 356987162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*p + 5\/4*p**4 + 0 - 176*p**2 - 28*p**3 + 1\/4*p**5.\nAnswer: p**2*(p - 11)*(p + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.7 + -3. Let k = -1.8 + j. Let y = k - -1.100012. Round y to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 9 = -5*i, -b = -14*i + 19*i - 17. Solve 2*s - 5*x - 6 = 13, -s + b*x + 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5, -34, -111, -260, -505, -870, -1379, -2056?\nAnswer: -2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = f - 120. Solve 3*j + j - f = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 710 divided by -5\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pnvo when four letters picked without replacement from opuuouupuvnoop.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 4409353 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9.9 - -2.6. Let l = -3.5 - z. Let g = 15.9893 + l. Round g to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23172.\nAnswer: 2, 3, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000191806 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**3 - 10*j**2 - 6*j + 6. Let b be 20\/(-70) - 68\/7. List the prime factors of z(b).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 15 (base 6) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 55\/2 and 3 - 1 - (-99)\/42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**3 + 336*x**2 + 6319*x + 838. Determine y(-316).\nAnswer: 1154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -33*i**2 + 70*i - 255. Give l(3).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w - 8 = 7*w. Let l be (8\/128)\/(2 - 10\/w). Which is the closest to -5? (a) 4 (b) -1\/9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30202 and 8.\nAnswer: 120808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.54 - 3.1. Let j = z + -0.14. What is the second biggest value in 2, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*r = -30*r + 301 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 59435452 to the nearest integer?\nAnswer: 7709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, e: 6, g: 10}. Give prob of sequence gq.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 4182, 4170, 4158?\n\"Answer: -12*l + 4194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -32379*d**3*w**2 - 2*d**3 + 28*d**2*w**2 - 12*d**2*w - 29*w**2 wrt d.\nAnswer: -194274*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(7) + sqrt(63) + 3 + sqrt(7) + -1 + sqrt(1008) + sqrt(1008))**2.\nAnswer: 116*sqrt(7) + 5891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -33*u + 23*u. What is the greatest common factor of u and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-6596)\/102)\/(0 - 2\/9).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**3 + 2*n**2 + 17*n + 35. Let l be f(-2). Does 18 divide (-2 - (-58 + 2))*(l - -13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -215*v - 523. What is the hundreds digit of i(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 34 = -2*a. Let z = a - 14. What is the derivative of -5*i**2 + 3*i**z - 4 + 3*i**2 + 2*i**2 wrt i?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/558339 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 16*b - 485. Calculate u(29).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:17 PM and 10:06 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 166476587 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -4*u - 8. What is the units digit of z(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*y**3 - 28*y**2 - 19*y**3 + 54*y**2 - 31*y**2 to u*y**2 + f*y + n + x*y**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 23 - 2 - 2*t**3 + 6*t**2 - 13 + (-2*t - 4*t + 4*t)*(-2*t**2 - 2*t**2 + 6*t**2).\nAnswer: -6*t**3 + 6*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of -176935 and -1.\nAnswer: 176935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 8*a**2. Let x(n) = -n - n**2 + 2*n - n. What is x(q(h))?\nAnswer: -64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 15 = 8*h. Which is the closest to 6? (a) h (b) 1\/11 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4005 is divided by 801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -29\/4 + 199\/28. What is the biggest value in o, 0.3, 2\/33?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -234*j**2 + 163 wrt j.\nAnswer: -468*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 154*d**3 - 25*d**3 + 191*d**3 - 71*d**3.\nAnswer: 249*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 13161269.63 + 6?\nAnswer: 13161275.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3449241?\nAnswer: 3, 19, 23, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/26*(-14690)\/3390\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 11579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1429, 4988, 11405, 17822, 24239?\nAnswer: 30656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(75)*-2)**2 + -5 + 1 - 5*(sqrt(75) - sqrt(75)*-2)*-3.\nAnswer: 296 + 225*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 44499 and 2184?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1280706074 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -97, -112, -135, -166?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0043066633 to five decimal places.\nAnswer: 0.00431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/3 - 16\/12. Let n be 0 + m - (4 - 63\/15). Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the second derivative of 5*x**7\/14 - 2*x**6\/5 - 39*x**5\/50 + 3*x**4\/5 + 9*x**3\/10 - 17*x. Factor a(f).\nAnswer: 3*f*(f - 1)**2*(5*f + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15203913?\nAnswer: 3, 271, 18701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 9 - (21 + (10 - 18))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 18424201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 125838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((q\/(q\/q**(-2\/3)))\/q*q)\/q)\/(q*q**(-6)))\/(q*q**(-2\/25)*((q\/(q*q**(-4\/5)))\/q)\/q) assuming q is positive.\nAnswer: q**(271\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3443494 to the nearest integer?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -4 + 7. Suppose u + 18 = k*u. Let p(w) = 13*w**2 - 5. Let q(x) = -3*x**2 + 1. Let y(g) = u*q(g) + 2*p(g). Find the first derivative of y(o) wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/1298448 and 25\/11?\nAnswer: 14282928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -223, 0.067, 4\/3, 5 in increasing order.\nAnswer: -223, 0.067, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*z - 9 = 3*t + 34*z, -5*t - 3*z + 25 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27, 58, 91, 126, 163, 202?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**3\/5 - 394756*f**2\/5 + 19492057856*f\/5 - 1284756836352\/5.\nAnswer: 2*(f - 98656)**2*(f - 66)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -585 - -608. Suppose -2*n + m = -r - 3, 0 = -3*n + 3*r + 45. What is the highest common divisor of 99 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18 + -14 + (0 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.3 + 0.2. Let q = -7 - -2. Let l = q - -4. What is the nearest to -0.1 in n, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/1 + (-7614 - -13). Round q to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(-4)*(-1 + 1). Let a = -221 + 224. What is the closest to p in a, 1\/8, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-90)\/96*(-48)\/(-36)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 29 - 341. Let a = 110 - x. Let y = a - -111. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -l - 8. Let x = 2 - 10. What is the smallest value in l, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q, 2 s, and 1 v when four letters picked without replacement from sccwswqsqsvq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 + 1 = -2*c. Sort -2\/3, c, 2 in increasing order.\nAnswer: -2\/3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 73, -2, 8, 2, 0, -4.\nAnswer: -4, -2, 0, 2, 8, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/1615188 and -29\/29611780?\nAnswer: 88835340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/270 and -11\/13450725.\nAnswer: 26901450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2102 divided by 1051?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -66*l + 647. Let w be f(12). Is w > -1025\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24\/461 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 738 = -0*j + 2*j. Is (-2 + j\/(-6))*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:41 PM and 2:23 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t + 12. Let g be u(-6). Let j(m) = m**3 - 6*m**2 - 2*m + 3. Let k be j(g). Let c = -5 - k. Solve -4*b - c*y = 8, 2*y + 14 = -0*b - 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-40)\/105 + (-2 - (-60)\/35). Let p = -0.4 + 0.5. Which is bigger: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - -1a2?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 52 divide 12162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 + 4*x**2 + 5*x. Let z(p) = -p**3 - 10*p**2 - 9*p. Let w(u) = 2*u**3 + 29*u**2 + 27*u. Let m(b) = 3*w(b) + 8*z(b). What is 7*l(j) - 4*m(j)?\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 15163375, 60653505, 136470389, 242614027?\n\"Answer: 15163377*n**2 - n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 - -66. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 20755245*h**2 + 42762357 wrt h.\nAnswer: 41510490*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*q - 16*q + 44*q + 109 - 210 + 101.\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2 + -4 - -2 - -4. Suppose 0 = 4*q - 3*q - 2*v - m, -3*v = -q + 6. Suppose q = -8*k + 10*k - 4. Solve -n - 6 = 4*l, l - 6 - k = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 260 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 28071417119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 17*l - 2. Let m(j) be the second derivative of 17*j**3\/2 - 7*j**2\/2 - 5*j. Let v(p) = -2*m(p) + 7*u(p). Let h(d) = d**2. What is h(v(k))?\nAnswer: 289*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 227 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 2 + 14 = 4*b, 5*b + 13 = j. Let m = 21 - j. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14 and 262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 127\/273 + 55\/273. Let t = -2\/1311847 + -320087742\/1919232161. Let x = t - 2\/133. What is the nearest to x in 1, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fzezqesf. Give prob of sequence zzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the third derivative of -237*u**5\/20 + 181*u**4\/12 - 612*u**2. Find the second derivative of h(r) wrt r.\nAnswer: -1422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 12:20 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (12 - 31 - -18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z and 1 n when three letters picked without replacement from {k: 2, n: 1, d: 2, z: 10, p: 2, q: 1}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 0, 1, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 43*o**5*r - 26*o**3*r**3 + 3*o*r + 10*o - 9*r**3 + r**2 wrt o.\nAnswer: 860*o**3*r - 156*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fukej. Give prob of sequence fk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1\/4 + 3\/20. Let q = -57529 + 172589\/3. Which is the nearest to -2\/5? (a) q (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the first derivative of -207*x**2\/2 + 628. Let s(h) = -6*h**2. Determine m(s(k)).\nAnswer: 1242*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 265287 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: What is the value of (53\/(-53))\/(1\/8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 18 and 4501512?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47*z + 51*z**2 + 18*z + 29*z - 50*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ydy when three letters picked without replacement from {e: 4, c: 1, k: 2, y: 3, u: 6, d: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*b = -46*b. Suppose -13*i + 0*i + 52 = b. Factor 2 - i*l**3 + 4*l - 412*l**2 - 7 + 420*l**2 - 3.\nAnswer: -4*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 2*h - 3. Let p be d(4). Let k = 0.3 - 0.5. Let m = -0.5 - -0.2. Which is the third smallest value? (a) p (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(1*sqrt(8) + -2 + sqrt(8)))**2.\nAnswer: -64*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 8444718 less than -3?\nAnswer: -8444721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 576 - -32. What are the prime factors of 4\/3 - j\/(-12)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**2 + 0*i**2 + 0*i**2 - 1 - 3*i. Let x be (-182)\/49 - 2\/7. Let n = x + 7. Determine y(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 228 a factor of 356940617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 18965 (base 10) to base 2\nAnswer: 100101000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-20)\/(-170) + (-342)\/(-561). Which is bigger: 2\/11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2919 divide 573503496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.39 and -9149322?\nAnswer: -3568235.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n**2 + 2*n + 1447. Determine q(39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -8317 + 11186 + 455*z - 457*z as p*z + u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2113667509 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 100 + 0. Suppose -3*b + v = -80. What is the units digit of 5\/(b\/(-27))*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 170341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 91*n - 88*n = -3*f - 72, -n + 76 = -4*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/11 and 6\/227.\nAnswer: 2497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 0.2, -15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -17.925254037 to 1 decimal place.\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.1361 to 3 decimal places.\nAnswer: 0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10\/1389 - 178859\/1852. Let d = x + 97. What is the common denominator of 57\/5 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the second derivative of 0*j**2 - 2*j - 1\/3*j**4 + 0*j**3 + 0. Let c(v) = v. What is i(c(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 2*g**3 + 2*g**2 - 2*g. Let p be (-1)\/3 + (-20)\/12. Let y be q(p). Let m = y + 71. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a\/(a\/(a*a**0)))**11)**(1\/6) assuming a is positive.\nAnswer: a**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {p: 10, d: 1, b: 1, j: 3, k: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 27111051 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 33908.158 rounded to the nearest 100?\nAnswer: 33900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -t - 2. Let f(z) = 2*z + 3. Let r(o) be the second derivative of -o**3\/6 - 3*o**2 - 6*o. Let j be r(-3). Give j*f(v) - 5*k(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 39756*c*p**3 + 6241*p**3 with respect to c.\nAnswer: 39756*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u - 5 = t, -111 = u + 3*t - 110 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/((1496\/242)\/(-34)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 188*t + 91*t - 12849 = -2247 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n - 3*i = n - 10, 5*i + 150 = 5*n. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 10\/25 - 47\/5. Let u be -3*((-6)\/a + -1). Let h(f) = -1 - f + u. Let r(s) = -s**2. What is h(r(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.5 (b) -8 (c) -1\/38 (d) 5\/2 (e) -5\/3 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*p + 2*p - 5*p)*(2*p - 3*p + 3*p) + p**2 + 1 - 1.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-60)\/82*(-25)\/(-250)*-2?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-120)\/(-600))\/((-2)\/5). Which is the nearest to -2? (a) r (b) -1\/6 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u*((u\/(u\/(u\/((u*u**8*u)\/u))*u))\/u)\/u*u**(-11) assuming u is positive.\nAnswer: u**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 50 or 2934\/59?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 3*v**3 + 2*v - 4 - 17*v**2 + 0*v**3 + 30*v**2 + 37*v**2 - 5*v**3 as g + o*v**2 + s*v + m*v**3 and give o.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 421 + -419. Let u(m) = 2*m**2 + m + 1. Let t be u(-1). Suppose -y*v - 4 = 4*c, 6*c - 4*c + t = v. Solve -5*f = k, v = 5*f - 4*f + 2*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 + 4*y**2 + 1. Let p(k) = -6*k**2. Let l be p(2). Let r = -22 - l. Suppose -4 = -r*x - 10, -3*w = 3*x. Determine q(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ygujgzx. Give prob of sequence zu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.822642 milligrams to nanograms.\nAnswer: 3822642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 44, 12, -46, -142, -288, -496?\n\"Answer: -2*n**3 - n**2 - 15*n + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 867.7892 meters in centimeters?\nAnswer: 86778.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**3 + 51*b**2 - 240*b + 192.\nAnswer: -3*(b - 8)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -7\/75710476?\nAnswer: -7\/75710476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jnz when three letters picked without replacement from jjjzjjnjjjj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-6)\/4)\/((-12)\/16). Let s(i) be the first derivative of 0*i**2 + 8*i**2 - 7*i - 26 - 15*i + 0*i**c. Differentiate s(o) with respect to o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2*(-1)\/2*1. Let q be x - (-1)\/((-1)\/(-21)). Solve 0*i = 4*i + q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b**3 + 27*b**2 + 6*b - 172. What is q(27)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 88752583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2462843652 to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4341 - 8*b**3 + 7*b - 4341)*(35 + 28 + 15) to the form j*b**2 + p*b**3 + x*b + d and give p.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 177 - 99. Let p = w - 25. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 13*v - 37. Let k be u(3). Let l(d) = -9*d**3 + 0*d**2 - 4*d**k + 21*d**3 - 11*d**3. Give l(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -48128361 divided by -5.\nAnswer: 48128361\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 18 and 45912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**(-6\/11)*(g*g\/(g*g*g\/(g*((g\/(g**(-2\/3)*g))\/g)\/g)))\/g*g)**(2\/7) assuming g is positive.\nAnswer: g**(2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the second derivative of 263*y**5\/5 + 1517*y**4\/6 + 3*y - 1748. What is the third derivative of k(u) wrt u?\nAnswer: 6312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 111731564 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3 - 16\/(-6))\/((-1)\/39). Let o(p) = p**3 - 12*p**2 - 15*p + 36. Calculate the lowest common multiple of 11 and o(r).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n - 7. Let w be x(18). Suppose -3*s - w = d, 2*s - 7 = -3*d + 3*s. Let m(h) = 14*h + 10. Let p(g) = -g - 1. Let a(i) = -m(i) - 10*p(i). Give a(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 4793 (b) 0.4 (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t\/(t**7*t))*t**(-5)*t*(t*((t*t**0)\/t)\/t*t)**(-3\/13))\/((t**(-1))**(15\/7))**(1\/23) assuming t is positive.\nAnswer: t**(8084\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8*m**3*p - 47*m**2*p - 3*m + p - 510 wrt m?\nAnswer: -24*m**2*p - 94*m*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3103718614 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -12*l. Let d(q) = 5*q + 5 + 2*q**2 + 4*q - q**2 - 4*q. Let u(t) = -2*t - 2. Let m(h) = 2*d(h) + 5*u(h). Give p(m(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 - (-7 + -3 - -3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -159230 or -159307?\nAnswer: -159307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of -r**4\/4 - 8*r**3\/3 - 4*r**2 + 5*r - 3. Let i be q(-7). Let v = 16 - i. What is the biggest value in -1, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 114 a factor of 2663382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0472522 nanograms in kilograms?\nAnswer: 0.0000000000000472522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yvayyvayyav. Give prob of sequence aaa.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -2 + 1*(-968)\/(-64) - 8 and -83\/3294.\nAnswer: 13176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -26 - -24. Let r be (-6)\/o + (11 - -4) + 6. Suppose -5*u = t - 430, -469 + r = -5*u + 2*t. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 23151156*h**3 - 9804*h - 1030 wrt h?\nAnswer: 138906936*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 224172 divided by 1916.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 111101000 (base 2) to base 3\nAnswer: 200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the third derivative of -w**4\/3 + 5*w**3\/6 + w**2. Let s(p) = -p + 1. Suppose 7*l + 19 = -23. What is l*s(m) + y(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c + 2480 - 2476 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 21 - 1. Calculate the greatest common divisor of o and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*y**2 + y**2 - 8*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 8*g + 21. Let t = g + 14. Suppose 1120000 = -t*n + 15*n. Round n to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w**2 + w. Let y(x) = 18*x**2 + 6*x. What is -24*g(i) + 4*y(i)?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2.1 in 3\/281, -1, -5?\nAnswer: 3\/281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 5*r = 273, 2*r - 166 = -3*t - 2*r. Suppose 6*o = 2*o + 16. Suppose -5*z + 105 = o*x, 0 = -2*x + 3*x. What is the remainder when t is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**2 - 33 + 6*i + 10 + 6*i**2 - 4*i**2. List the prime factors of y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(5) + (sqrt(5)*-1 - sqrt(5))) + ((sqrt(180)\/sqrt(4))\/sqrt(9) - sqrt(5)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 107*d + 269 - 505 = 53*d - 2666 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = 4*t - t. Suppose -t*u - 30217 = -51*u. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 250614513 divided by 250614513?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 2*y + 9426 = -13923, 70103 = 3*m - 2*y. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the first derivative of 2*b**3\/21 + 3*b**2\/7 + 4*b\/7 + 13. Let w(x) = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -1\/16621039?\nAnswer: -1\/16621039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 11*j + 24. Determine g(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**3 + 2*i**2 + 9*i + 2. Let h be k(4). Suppose 0 = 2*s - 5*m - 31, 5*s - 24 = 2*m + 1. Solve 2 = -2*y + 5*v, h*v - s*v + 1 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2 + 9*l + 22. Let g be o(11). Suppose -5*x + 347 + 83 = g. Is 33 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(136)*2*3 - sqrt(136) - -2*sqrt(136)*5)\/(-3*(sqrt(72) - sqrt(8)) + (sqrt(32)\/sqrt(4)*-5 - sqrt(8))) + 4)**2.\nAnswer: 50*sqrt(17) + 10881\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify s\/s**(2\/25)*s**(-9\/13)*s**(-13)\/s*s**(-12) assuming s is positive.\nAnswer: s**(-8376\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 47005 and 5950?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/22222200 and 79\/51.\nAnswer: 377777400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1561288?\nAnswer: 2, 195161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2082225*a - 106279545.\nAnswer: -2082225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes before 7:33 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + i - 14*i**2 + 326*i**4 - 323*i**4 + 0*i**3 + i**3 to p*i**2 + n + f*i**3 + x*i + l*i**4 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 475, -1, 565, -3 in decreasing order.\nAnswer: 565, 475, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1422 - -1421. Let p(a) = 5*a**3 + 2*a**2 - 1. What is p(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2831726 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 14819*d**3 + 129*d**2 - 50 wrt d?\nAnswer: 88914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let 7803*w**5 + 1809684*w**4 - 3785973*w**3 + 2114490*w**2 - 148812*w + 2808 = 0. What is w?\nAnswer: -234, 2\/51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 48424 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s. Let z(f) = -5*f + 4*f + f + f. Calculate i(z(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gaaag. What is prob of sequence aaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = -38757 + 71800. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4718 and 451243.\nAnswer: 6317402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 6*l - 4*l + 56, -2*l - 76 = 5*v. What is the tens digit of (-324)\/l - 8\/(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(152) - 2*(sqrt(152) - sqrt(152)*3) - (sqrt(152) - -2*sqrt(152)*-4 - sqrt(152)))\/(3*-2*sqrt(392)*-1).\nAnswer: 13*sqrt(19)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2282 and 11231678?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 123, 124, 121, 114, 103, 88?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 87, 110, 131, 150?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 42 (base 12) to base 16\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.065 * 106.1.\nAnswer: 6.8965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 407548014*k**4 + k**3 + 7*k**2 + 16591010 wrt k?\nAnswer: 9781152336*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -145\/15684 and 49\/36.\nAnswer: 47052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-1)\/3)\/((-4)\/(-12)). Does 12 divide 2\/(((-2)\/a)\/44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 347227 - 347224. Let x be 4 + (-1)\/2*0. Put x, a, -4 in ascending order.\nAnswer: -4, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -2*d**3 - 31*d**2 + 20*d + 91. Determine f(-16).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 784 is divided by 445?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -52339 divided by -1144?\nAnswer: 52339\/1144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 20? (a) -2 (b) 1\/2 (c) 0.1 (d) 5\/2 (e) -2\/523 (f) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 33 divided by -1505\nAnswer: -33\/1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1463?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -20 (base 4) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(187)\/(sqrt(11) + (sqrt(176)*6 - sqrt(11))) + -1.\nAnswer: -1 + sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/9582126 and -23\/19164252.\nAnswer: 19164252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1262 = -16*h + 2437 + 5341. Calculate the greatest common factor of 20 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**2 + 1. Let b be g(1). Suppose 3*h**5 + 0 - 5*h**4 + b + 4*h**4 = 0. Calculate h.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -13*g**2*i**3 - 6*g**2*i**2 + 106*g*i**2 - 2*i**3 wrt g?\nAnswer: -26*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -5*y - 43, 2 - 5 = y. Let b be (-8)\/(-2) + -2*19\/2. Let m = p + b. Let o(z) = 4*z**3 - 2*z**2 - z. Give o(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0016391 rounded to five decimal places?\nAnswer: 0.00164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1009 - 255. What is the highest common divisor of d and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 39847, 39899, 39949, 39997, 40043, 40087, 40129?\n\"Answer: -b**2 + 55*b + 39793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 98*x - 114*x - 112 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = v - 200. Let n be ((-4)\/(-5))\/(20\/v). Differentiate -1 - 9*w**4 + 1 - n - 2*w**4 wrt w.\nAnswer: -44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - 4*f - 16, 8 = d + 3*d - 2*f. Solve d*n + 4*n = -20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*y = -121 + 21. Solve x = -3*x + y, -3*c = 4*x - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 32, 30, 28, 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -371, -381, -383, -377?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 137821047?\nAnswer: 3, 7, 13, 293, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11782957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -11 + 3 - 9 + 30*s**4 - 69*s - 3*s**5 + 6*s**2 - 19 + 72*s**3.\nAnswer: -3*(s - 12)*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 38 - 45. Let w = m + 57. Suppose -4 = 4*k - 504. What is the highest common factor of w and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -2*x + 6. Let m = -83 - -81. Let s(i) = -i + 3. Let h(a) = m*j(a) + 5*s(a). Calculate h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**3 + 61*y**2 + y - 37. Let l be d(61). Solve -l*p + 30 = -14*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.01 + -1.01. Let i be -6*(-12)\/1053 + (768\/156)\/32. What is the third smallest value in b, -63, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the second derivative of 34*d**4\/3 - 2*d**3 + d**2\/2 - 87*d + 3. What is the second derivative of y(j) wrt j?\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1975623344?\nAnswer: 2, 19, 6498761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*i**2 + 3*i**2 - i**3)*(357 + 4*i - 164 - 144) in the form g*i**2 + b + p*i + w*i**4 + o*i**3 and give o.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(28))**2 + -2)*1 + -1 + sqrt(42)\/(sqrt(36)\/sqrt(150)).\nAnswer: 5*sqrt(7) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18724*-36.\nAnswer: 674064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 656095376 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rjj when three letters picked without replacement from {j: 3, r: 13}.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2232918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-143)\/(-47476)*83)\/((-6)\/2328)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -7.67264788 rounded to three decimal places?\nAnswer: -7.673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p + 2*v - 12349, -3*p + 37047 = 75*v - 70*v. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h**3 - 2*h**3 + 6*h**3)*(3*h**2 - h**2 + 2*h**2) + (2*h**4 - h**5 - 2*h**4)*(0 + 0 + 1).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-9)\/(-12))\/((-5)\/(-60)). Let u(k) = -k**3 + 9*k**2 - 6*k + 20. Let f be u(x). What is the biggest value in 1\/10, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 4 - 12 + 3 + 3 + l + 1. Let t(o) = 2*o - 3. Determine -11*m(k) + 4*t(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -625.3405 to 0 dps.\nAnswer: -625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.957349 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does -1223 = -74604\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -803.8763 + 800.53. What is q rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -5*b - 6. Let i be h(-4). Suppose 5*v = -4*g - 0*g + 51, g + 3*v = 11. Calculate the greatest common divisor of i and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/(-5) - -1 - 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 479013499 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -126 + 137. Let z(t) = 5 + 2*t - 3 - 16 + x. What is z(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -l - 2*r - 200 = 2*l - 219, 94*l - 181*l - 5*r + 7 = -93*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -w**3 + 5335*w**2\/4 + 3337*w\/2 + 1335\/4 = 0.\nAnswer: -1, -1\/4, 1335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g when three letters picked without replacement from hhhhhhggghghhhhhghh?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1657204 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -3\/7, 1\/35, 0.24, 0.3, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes after 7:00 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 114796852 divided by 68?\nAnswer: 1688189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 101202 (base 5) to base 13.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.63 in -9\/8, -4, -1, 3\/8, 2195, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 - (1 + -49 + (8 - -1 - 3)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the second derivative of -2347*l**6\/30 + 835*l**3\/3 + l - 574. What is the second derivative of o(q) wrt q?\nAnswer: -28164*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*a**2 + 9*a**2 - 13 - 4 - 16*a**2 + a**4 + 2 + 15*a + 3*a**3 in the form j*a + q*a**3 + u + m*a**2 + g*a**4 and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -1033 at least as big as -1034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -526c (base 13) to base 12\nAnswer: -6731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 - 7 - 19*w + 2 to the form q*w + o and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100010000 + 101?\nAnswer: -100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 8308224 divided by -259632\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 184455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 17 (b) -0.5 (c) 3 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 6.2284 rounded to 1 dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1008) - ((-5*sqrt(1008)*2 - sqrt(1008)) + sqrt(1008) + sqrt(1008)))**2 - 3*-2*sqrt(175) - (sqrt(2800) + 1 - (3 + (sqrt(28)\/sqrt(4) + -2)**2)).\nAnswer: 6*sqrt(7) + 100813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11 + 9. Let f be (k + 0)*(-14)\/4. Let z = f - 2. Solve -4*n + 5*q = 14, 0 = -5*n + 3*q - z*q - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 * 0.078\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1*(4 + 6*(-20)\/15). Find the second derivative of -5*w - 507 + 497 + 2*w + 47*w**4 + 21*w**m wrt w.\nAnswer: 816*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 9*a**4 - 5*a**3 - 14*a**2. Let f(o) = -o**4 + o**3 + o**2. Let x(g) = -5*f(g) - i(g). Find the third derivative of x(h) wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b**3 + 6*b**2 + b + 2. Let t(r) = -101*r**3 - r**2 + r - 3. Let s be t(3). What is the remainder when s\/(-126) - 2\/(-7) is divided by w(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 95 - 93. Let n(g) = l*g + 3*g - 2660 + 2659. Suppose 0 = r - 2. Calculate n(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2745437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -65233, -65231, -65229, -65227, -65225, -65223?\nAnswer: -65221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -2\/9, -27, -4, 2\/15, 0.078 in ascending order.\nAnswer: -27, -5, -4, -2\/9, 0.078, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -11505 > -7859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.22 + -0.08. Let y = -0.7 + k. Which is the closest to 1? (a) -2 (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the first derivative of -d**5\/15 + 5*d**4\/24 + 7*d**3\/3 + 2. Let n(c) be the third derivative of g(c). Is n(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ftjrad. What is prob of picking 1 a and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 4\/7 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -931.4 + 1114. Let x = -183 + u. Let h = 0.03 - -2.97. Is h >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 - -6. Let o = x + -5. Suppose 0 = w - 11 - o. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 95 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 80 - 75. Calculate the remainder when 36 - 0*z\/(-25) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -303210011 (base 4) to base 14\nAnswer: -56d81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-1\/4))**28*z\/(z\/((z\/(z*z**11*z))\/z)*z*z)*z**(3\/2))**(-50) assuming z is positive.\nAnswer: z**1025","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n + 20, -p - 7 = -2*p + 5*n. Let s(a) = -5*a - 89. What is the remainder when p is divided by s(-20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 - 1. Let k(c) = 1 + 4*c + 2 - f. Determine k(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 53 + -71. Let j be (-2)\/(3*6\/y). What is the second smallest value in j, 0.8, -1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -155*k**2 + 4043*k - 453. Determine p(26).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the second derivative of -h + 0*h**2 + 0 - 1\/2*h**3. Let b(g) = -g**2 + 0*g**2 + 64 + 44 - 108. Determine b(q(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 728470 = -5*a, -2 = 2*a + 8. Suppose -5*c - 44301 - l = 0. Round c to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -122.5 + 122. Let t(j) = -j**2 - 34*j + 39. Let q be t(-35). What is the smallest value in 6, w, q, -2\/21?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3897, 5, -93 in descending order.\nAnswer: 3897, 5, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 20 and 128355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = w + 4. Let c(j) = j**3 + 16*j**2 + 17*j + 35. Let x be c(w). Suppose -7*g - x*g = -1068. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**2*q**2\/q)**(-41)*((q*q\/(q\/(q\/((q*q\/q**(-2\/7)*q)\/q))))\/q**(1\/10))**(-27) assuming q is positive.\nAnswer: q**(-7881\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 2 = -8. Let n be q + (-6324)\/(-27) - 3. Let l = -229 + n. Put 3, l, -8 in decreasing order.\nAnswer: 3, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/(-6) - 75\/9. Let p = r + 11. Suppose -l + 52 = 5*i, -5*l - 2*i + p*i = -234. Calculate the remainder when l is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 125 = -b - 119, 4*r = b - 20 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.039 + 31.961. Let p = -398 + 431. Let k = p - n. What is the nearest to -1\/2 in -0.4, k, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 367550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 80\/100 - (-3 + 674702\/(-35)).\nAnswer: 3, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f + 10. Suppose 4*u - 24 = 7*u. Let s be l(u). Suppose 0 = 5*j + s*i - 26, 3*j + 0*i = -4*i + 10. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 47 + -15. Suppose 3*q - 40 = 2*x, 4*x = 2*q - 0*x - s. Factor -n**4 + 0*n**2 - 13*n**2 + 0*n**3 + q*n - 4 + 6*n**3.\nAnswer: -(n - 2)**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -14 + 14. Let v(i) be the second derivative of 1\/6*i**4 + i - 1\/15*i**6 + m + 0*i**2 + 0*i**3 + 0*i**5. Find the third derivative of v(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 5*o = 1 - 4, -o + 1 = 0. Suppose 3*w + 9 = 3*c, 0*c + x*c - 5*w - 3 = 0. Suppose -i - c*i + 20 = 0. Solve i = -4*n - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**3 - 5*w**2 + 1. Let o be y(-5). Let n = -9 - -7.8. Let r = -0.8 + n. Which is the closest to o? (a) -1\/7 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1212776 (base 8) to base 7\nAnswer: -2555515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -2*j + 1. Let w(s) = -s + 1. Let l(a) = 78*a - 54. Let r(h) = -l(h) - 5*w(h). Let k(z) = -5*q(z) - r(z). What is the derivative of k(n) wrt n?\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1\/3*l**4 + 3*l**3 + 13\/3*l**2 - 14\/3 - 3*l = 0. What is l?\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -1. Let d be (4 - -10*9\/(-24))*-4. Let u(s) = 15*s + 10. Let c(i) = d*u(i) + y(i). What is the tens digit of c(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate l*t - 720*l + 12*t wrt t.\nAnswer: l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 620591 = -3*k, 3*k - 445 + 436 = 0. Round p to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1312 and 11818\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 15 + 17 - 4*g - 31. Suppose -2 + 18 = -2*z. Is x(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -3*z + 533, -277*z = x - 275*z - 539. What is the lowest common multiple of x and 342?\nAnswer: 9918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.817 or 2\/409?\nAnswer: -0.817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 681276492 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 312 a factor of 414648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2065*m - 27604 = -12297*m + 1065*m - 1955669 for m.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 45 - 19 - (-18 + -14)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 567 - 1?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5810 - 3887. Suppose 10*r - g = 7*r. Suppose -3*p + r = -2*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.3 and 5.68256.\nAnswer: -1.704768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 15 and 54\/(-495)*11 + 831\/5.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 394087580111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 6*((-1352)\/2366)\/((-2)\/(14\/(-3)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 55 + -27. Let t be 114\/g - 15\/(-35). What is o in 1 - 8*o**3 + 0*o**4 + 7\/2*o + t*o**5 - o**2 = 0?\nAnswer: -1, -2\/3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 65475248 or 65475244?\nAnswer: 65475248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s + 4*v = 10, -3*s - 7*v + 59 - 41 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the second derivative of 0*w**4 + 2*w - 1\/2*w**7 + 0*w**6 + 0*w**2 + 0*w**5 + 14\/3*w**3 + 0. Find the second derivative of i(g) wrt g.\nAnswer: -420*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pfiu when four letters picked without replacement from iivpfqpu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zfzzihfdoifzzihhf. Give prob of sequence hhz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1365350.\nAnswer: 2, 5, 7, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2\/75 (b) -1\/6 (c) -1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1864486570 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 13468 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64*g - 1035 = 63*g. Suppose -g = 82*x - 87*x. What is the remainder when x is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 148281 is divided by 1060.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:20 PM and 9:50 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*k + 38 + 39 = 0. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(1584) + 4 + (1 + 2*sqrt(1584) + sqrt(1584))**2 + ((sqrt(1188)*1)\/sqrt(3) - -5*(sqrt(528)\/sqrt(3) + sqrt(11)))**2.\nAnswer: 84*sqrt(11) + 24834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:31 AM and 5:52 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(75) + -3)**2 + (-2*sqrt(18))\/sqrt(6) + (4*((sqrt(3) - -1*sqrt(192)) + ((sqrt(3) - sqrt(27)*2) + sqrt(3) - sqrt(3))))**2.\nAnswer: -32*sqrt(3) + 852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3363801, 3363798, 3363795?\nAnswer: 3363792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -110662*o**5 + 5*o**3 + 40*o**2 + 334*o + 1 wrt o?\nAnswer: -6639720*o**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1175897 - -2609100. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 7, z: 4}. What is prob of picking 3 z?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**2 - l. Let t(q) = 2*q**2 - 6*q + 3. Let g(z) = -3*h(z) + t(z). Suppose 314 - 293 = x. Suppose -3*p = -x*p - 90. What is g(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from {g: 1, y: 1, p: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 52260 divided by -65.\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the third derivative of -w**9\/33264 + w**8\/6160 - w**7\/4620 - 10*w**3\/3 + 2*w**2. Let x(i) be the first derivative of o(i). Factor x(u).\nAnswer: -u**3*(u - 2)*(u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9416 and 3894.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 203124902.\nAnswer: 2, 223, 455437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6854, -13729, -20628, -27557, -34522, -41529?\nAnswer: -48584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 288*b + 988 = 340*b. What is the highest common divisor of b and 3211?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(48\/20)*18\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 4*w**3 + 251*w**2 + 25*w + 307. Is m(-62) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (108\/16)\/(11\/1188) is divided by 82?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 859116 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by -862097\nAnswer: 8\/862097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d = 3*d - 102. Let w = d + -34. Is w < 1\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3 - (-820)\/272)\/((-18)\/416). Let f = p + 2\/17. Which is the biggest value? (a) 3 (b) -2\/87 (c) f (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -2*b + 41. Let v be f(16). Suppose v*y = y + 304. Let t = y - -21. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 e, 1 h, and 1 j when four letters picked without replacement from {e: 2, h: 1, j: 1, r: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:55 PM and 5:10 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-1\/2))**(-16)\/(s*s**(-1\/11)*s*s**(2\/13)))\/(s**6\/s**(1\/5)*((s*s*s\/s**(-1\/7)*s)\/s)\/s*s\/((s\/(s\/s**(-7)*s))\/s)) assuming s is positive.\nAnswer: s**(-60089\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 750.114856 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/(-15))\/(55175\/2625 + -21) + -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2a9 + 81212?\nAnswer: 81510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1475 is divided by 303?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**2 + 26*v + 4. Let q be y(26). Suppose q*m - 20674 = -2*d, 4*m + 2*d - 3*d - 20665 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**2 - y. Let o(b) = 2*b**2 + b. Let a(z) = -2*o(z) - 2*r(z). Let s(u) = -7*u**2. What is a(s(l))?\nAnswer: -98*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 51\/(-36) + (-198)\/(-88)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y - 2. Let p be o(-5). Suppose 3*c = -2*d + d - 13, 0 = -3*d - p*c - 9. Suppose 2*u + 6 - 14 = 0. Calculate the highest common factor of u and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 4*k - 130 = 50, 0 = 2*d - 2*k - 210. What is the greatest common divisor of d and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 71, 270, 691, 1406, 2487, 4006, 6035?\n\"Answer: 12*v**3 + 39*v**2 - 2*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 - -d4?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57*b - 64 = -110 - 68. Solve s + 2 = b*s + 3*v, 0 = 2*s - 5*v + 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 39*w**2 + 2*w + 1. Suppose 49*y + 252 = 67*y. Calculate the remainder when d(-1) is divided by (4 + y\/(-6))*78\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 4*r**2 - r - 1. Let q be f(-1). Find the third derivative of 3*p**2 + 4*p**3 - 7*p**3 + q*p**3 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -786\/7 - -112. Suppose -3*r = 4*w - r + 38, -25 = 5*w - 2*r. Let i be (-21)\/(-9) + -2 - w\/168. Which is the second biggest value? (a) i (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-5)\/o)\/(o**15*o)*(o\/((o*o\/o**(-4))\/o))**(-31) assuming o is positive.\nAnswer: o**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 times 484?\nAnswer: -96.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -471 + -b?\nAnswer: -47c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 109 + 341. Let b = q + -449. Put 4\/5, b, 3, 2 in descending order.\nAnswer: 3, 2, b, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*t + 60 = 49*t. Let x(o) = 9*o - 6. Let l(a) = -6*a + 4. Give t*x(v) + 8*l(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be 25\/(-44) - 1*(-5)\/10. Let t = -2\/11 + n. What is the common denominator of -37\/40 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 52675 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-41)\/(-42) - (-69)\/(-483).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3800) - (sqrt(3800) + 4*sqrt(3800)*2)) + sqrt(3800))\/((-1*sqrt(1452))\/sqrt(6)).\nAnswer: 70*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bhdsdya. Give prob of picking 2 d and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*y + 14 - 14)*((-2 - 3 + 6)*(5 - 5 - 2) + 0 + 4 - 2 + 2 - 1 - 3).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 330 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 26293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/2*(-1)\/(-1))\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/12)\/((-4)\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.067458106 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -29.3 + 28. Let h = -1.2 - w. Let o = h - -6.9. Is o > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7163813222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -3835.57646 rounded to 1 dp?\nAnswer: -3835.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 84 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is eleven tenths of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*2*sqrt(11) - (((sqrt(11) + 1)**2 - sqrt(11)) + 5).\nAnswer: -11*sqrt(11) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*f - 4*f - 99 = 0. Let x be 5\/10 + f\/2. Suppose 4*l + 2*k = 318, k + 415 = x*l - 0*k. List the prime factors of l.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1944, -3843, -5732, -7611, -9480?\nAnswer: -11339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 355707.9kg?\nAnswer: 355707900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes before 12:10 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3 - -2. Let u be ((-8)\/(-12))\/(22\/(-6)). Let v = -11759.4 - -11759. Which is the nearest to f? (a) 0.4 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-50)\/(-5)*(-286)\/(-130)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -19 - -4. Let o = -12 - i. Suppose 3*r = -2*c + 35, -o*c + 0*r + 58 = -r. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that 2*v**4\/7 - 904*v**3\/7 - 1814*v**2\/7 - 908*v\/7 = 0.\nAnswer: -1, 0, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.22508 - 0.04508. What is the nearest to 0 in 0.2, -6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rbfr when four letters picked without replacement from {s: 1, x: 1, l: 1, b: 2, r: 3, f: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2211*c - 596*c = -45220 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1327 - -1862. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqn when three letters picked without replacement from nqqqnqnqnqnqq?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.6 + -1.4. Let u = 17 + -14. Let h = o + u. Which is the nearest to 1? (a) h (b) -3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**2 + 3*p + 2. Let m be h(3). Factor -118*w**3 - 134*w**3 + 3 - 42*w + 246*w**m - 63*w**2 + 108*w**4.\nAnswer: 3*(w - 1)**2*(6*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -32.6 + 33. What is the closest to 0.1 in p, -4, 4\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1778187 and 914.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z**3 + 160*z**2 + 5456*z = 0. Calculate z.\nAnswer: -22, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 2674 divide 501947236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + 15 + 390. Let j = d + -403\/5. What is the third smallest value in -0.3, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1111031381 to the nearest integer?\nAnswer: 33332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) 26 (c) 5 (d) -0.3 (e) 4 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 17\/2 of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is g in 2\/7*g**2 - 40\/7*g - 6 = 0?\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 4*w**2 + 192*w + 830. Determine z(-43).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, -1\/4, 678?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - 84 = 9*u, 7*c - 49 = -15*u + 33 + 65 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 99 + -195\/2. Let k be 2 - (90\/10)\/(5\/1). Put o, -80, k in decreasing order.\nAnswer: o, k, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (6 - 0)*10\/(-15). Let u(f) = -f**2 + f - 1. Let t(q) = -q**2 + 2*q - 2. What is g*u(s) + 2*t(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -41539944.4 rounded to the nearest 1000?\nAnswer: -41540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 585894, 585896, 585898, 585900, 585902, 585904?\n\"Answer: 2*t + 585892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-174*k + 53*k + 62*k + 3)*(-2*k**3 + k - k).\nAnswer: 118*k**4 - 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*b + 24*b - 39254 = 0. What are the prime factors of b?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -12*f**5 + 5*f + 29*f**2 - 29*f**2 wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0013*-0.118.\nAnswer: -0.0001534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -4*a - 34, -2*a + 5*a = 2*q - 1. Let s(k) = -k - 5. Let f be s(q). Let p = -1 + f. What is the nearest to -1 in 1\/5, p, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the first derivative of -2*j**7 + 4*j**3 - 7. What is the third derivative of i(a) wrt a?\nAnswer: -1680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4\/7? (a) -0.4 (b) -90 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-3) + (-14)\/(-21))*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -4*l + 3955, 19*l - j + 1975 = 21*l. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 265279629?\nAnswer: 3, 9013, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 186.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 489*u + 64*u**5 + 128*u - 2*u**5 wrt u.\nAnswer: 1240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*q**2*y - 1674500*q**2 + 3*q + 2*y + 63378 wrt q.\nAnswer: 8*y - 3349000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -2*u**2 + 1. What is c(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 2) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/9)\/(39\/9)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 59 + -40. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {d: 2, a: 2, i: 2, h: 3}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h**4\/4 + 5*h**3\/2 = 0. What is h?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 3 - 15*x - 9*x + 9*x.\nAnswer: -15*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be (23 - 1170\/70)*(132\/8 + -6). Let p = -3 - -3. Solve -71*h + r*h + 5 = p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -46.94 - -60. Let y = l + -13. Round y to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 17488 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**3\/5 - 10830*b**2 - 366554886*b\/5 - 366500738\/5.\nAnswer: -2*(b + 1)*(b + 13537)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 17.4 times 79.271\nAnswer: 1379.3154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2039 + 4183. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -10 + 9.8. Let v = -2 - -2.4. Which is the biggest value? (a) -2 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33462123 and 9615?\nAnswer: 1923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -75, 0.1, -1\/7?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -19*r**3 + r**2 + 2*r + 1. Suppose 9 - 29 = -4*q, 4*v - 119 = 5*q. What is the remainder when v is divided by x(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1\/2)\/((-1)\/(-6)). Suppose 0 = -0*f + 2*f + 4. Let t be 5\/(-1 - f) + -1. Solve -1 + t = z*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g + 18 = 5*n + 4*g, -5*g = -4*n - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 1*(sqrt(11) + (sqrt(132) - (-2*sqrt(132) + sqrt(132) - sqrt(132)))\/sqrt(12) + (-2 + sqrt(176))**2 - (sqrt(33)\/sqrt(3)*-2 + (sqrt(1331)*2)**2)).\nAnswer: -5139 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 149b9 (base 13) to base 3\nAnswer: 1222112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -2906691180 to the nearest 1000000.\nAnswer: -2907000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**2 + 47*c + 308. Let y = -5962 - -5923. What is m(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 387238 is divided by 2049.\nAnswer: 2026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = -7 + 1. Let u(n) = -n + f + 2 + 2. Let q be u(5). Calculate the highest common factor of q and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 3*a - 1. Let x(p) = -p. Let s(d) = f(d) + 2*x(d). Let z(q) = 7*q - 2. What is -4*s(k) + z(k)?\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 126.843 (b) -25 (c) -0.5 (d) 2 (e) 0.4 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 114 - 108.3. Let t = k - 6. Let h = -21.11 - -20.11. What is the fourth biggest value in h, -0.5, 2\/5, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f**3 - 6*f**2 - 12*f + 7. Let t be j(8). Let p be 2 + 0 + (-11)\/(-1). Calculate the highest common factor of p and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -3*s**2\/5 + 30*s - 792\/5 = 0.\nAnswer: 6, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the third derivative of -1\/20*d**5 + 1\/12*d**4 + 0 + 1\/120*d**6 - 3*d**2 + 0*d + 0*d**3. Factor x(f).\nAnswer: f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n + 3*g + 6 - 1 = 0, 0 = -2*n + 3*g + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 8908000 to the nearest one hundred thousand.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from stddbbdsttbdbtt.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-8)\/(-28) + 4\/(-14). Let r = -12 + 4. Let t be 25\/10*r\/(-10). Solve t = -m - u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/16 + (-6867)\/(-672)*4.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2421257.\nAnswer: 277, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**5 + 254*c**4 + 2868*c**3 + 12636*c**2 + 25002*c + 18630.\nAnswer: 2*(c + 3)**4*(c + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 257 a factor of 55292522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (3*n - 2*n + n - n - 2*n + 2*n + (0*n - 2*n + 0*n)*(3 - 5 + 1) + 1 - 1 + 2*n - 1 - 2*n + 1 + 2*n + 2*n - 6*n)*(-656 + 144 - 218) as j*n + a and give j.\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/115 in 0.4, -0.01, -1\/3, 1, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -964 - 9*u**2 - 938 + 1902.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 45 = 9. Let p(s) = -2 + t + 3*s - 2*s. Let f be p(-9). Are 0 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 51915376.\nAnswer: 2, 3244711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 - 5 = 5*d. What is the units digit of (d - (-72)\/(-20)) + 1026\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11 - 7. Let a be (0 - -1590003) + r\/(4\/(-3)). Round a to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 224 a factor of 101268160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(7) + -3 + 2 - (sqrt(7)*3 - sqrt(7))*1.\nAnswer: -sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = 5*j - 302, -2*t = -3*t + 2. Let m = -66 + j. What is the nearest to -2 in -5, -2\/19, m?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*i + 79*i - 345*i.\nAnswer: -291*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.01 + -1.99. Let r = m - -1. Let t = -74\/5 + 439\/30. Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 29339\/5 - (-432)\/(-540)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 11:46 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 62028, 52664, 37062, 15228, -12832, -47112, -87606, -134308?\nAnswer: -187212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -7\/16039129?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 235429589?\nAnswer: 19, 12391031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.5 (b) -8 (c) 0.01 (d) 2 (e) -141 (f) 0.089\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 639272052 by -6.\nAnswer: -106545342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 440 and 165.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let -y**5\/2 + 3187*y**4\/2 - 4754*y**3 - 70054*y**2 + 19024*y + 254720 = 0. Calculate y.\nAnswer: -5, -2, 2, 8, 3184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-186)\/(-21) - 3\/(-21). What is the highest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 5*b - 9. Let r(z) = 9*z - 17. Let p(i) = -7*g(i) + 4*r(i). Let t be p(7). Find the third derivative of 10*k**2 + t*k**3 - 1 + 1 - 7*k**2 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*b**3 - 57*b - 9*b**3 + 57*b.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 84*d + 5608. Determine g(-66).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-423)\/658*1890\/1500 and (-668)\/3*(-2)\/80.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 9) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2126221?\nAnswer: 43, 197, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 2210102112 (base 3) to base 12.\nAnswer: 279a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the second derivative of o**5\/10 + o**4\/12 + o**3\/2 - o**2 + 16*o + 2. Let g = 57 - 55. Determine a(g).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 - ((-2 + 14)\/36)\/(26\/1638).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**4\/(((x**(1\/7)*x)\/x)\/x)*(x\/(((x\/((x\/(x**(-2\/5)\/x))\/x))\/x)\/x))**(-6\/25) assuming x is positive.\nAnswer: x**(3536\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23 - (-10 - (-8 - (-14 + 7) - 4)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*y - p - 257 = 7*y, -y + 227 = 5*p. Calculate the least common multiple of y and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 20*x**2 + 5*x - 2. Suppose 6 = -k - k. Is c(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*h = k + 11*h, 3*k - 5*h = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 688 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 27c157 (base 13) in base 10?\nAnswer: 969118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 6*p**3 - 5*p**2 + 14*p - 7. Let w(x) = 7*x**3 - 6*x**2 + 16*x - 7. Give -6*a(k) + 5*w(k).\nAnswer: -k**3 - 4*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 37*b**5 - 6*b**3 - 29*b**2. Let s(c) = 75*c**5 - 13*c**3 - 57*c**2. Let q(j) = -13*r(j) + 6*s(j). What is the third derivative of q(d) wrt d?\nAnswer: -1860*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 4 = 3*r, -3*v - r + 10 = -18. Let a(o) = 11*o + 12. Let l be a(v). What is the highest common factor of 40 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -5*k + 51. Let y(r) be the second derivative of -3*r**3\/2 + 101*r**2\/2 - 14032*r. Give 5*l(o) - 3*y(o).\nAnswer: 2*o - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -192.3 + 192. What is the nearest to 6\/11 in d, -1\/8, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -132, -128, -120, -108?\n\"Answer: 2*a**2 - 2*a - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-3\/5))**6)**(-33\/4) assuming z is positive.\nAnswer: z**(297\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -1.45440559 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -13530 - -13551. Let m(k) be the second derivative of 47\/9*k**3 + 0 - 7\/18*k**4 + r*k + 14\/3*k**2. What is t in m(t) = 0?\nAnswer: -2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**1\/((i*i*i**(-3\/5))\/i))\/(i\/(i\/i**(-2\/7)))**(-8\/9) assuming i is positive.\nAnswer: i**(109\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2263 = -222*f + 123 + 2276 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 416 is divided by 108.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 26, 27, 28, 29, 30, 31?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -52\/18937 and -37\/7.\nAnswer: 132559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -10929 + 3*n - n**3 + 0*n**3 + 3*n**2 + 10931 as s*n**2 + y*n**3 + w*n + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/7, -3\/4, -1949, -738?\nAnswer: -1949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -2 (c) -2332\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 250482958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 + -5. Let k(l) = -l**2 - 8*l - 6. Let f be k(y). Suppose 0 = 2*o - f - 3. Put o, -2, 0.1 in decreasing order.\nAnswer: o, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 2*c**2. Let h be (-1)\/((-5)\/30*3). Let k(v) = -118*v**2 + 28*v**2 + 31*v**h. Determine k(x(p)).\nAnswer: -236*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 8*l - 37. Let n be i(5). Suppose -11 = -n*a - 2*v, -3*a = 3*v - 1 - 14. What is the smallest common multiple of a and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15*h**2 - h + 16*h**2 - h + 4)*(1 - 2*h**3 - 1).\nAnswer: -2*h**5 + 4*h**4 - 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 266801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2*(-4 - 2)\/(-3). Suppose y*m - 25 = -m. Factor -16*z**5 + 3*z**4 - 13*z**4 + 10*z**2 + 11*z**m + 5*z.\nAnswer: -5*z*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 4172811148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes after 12:56 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 2:26 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -131\/30000 and -19\/160?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33674.\nAnswer: 2, 113, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.15*-1860.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -456 + 458. Solve -r = -p + 2*l, 3*l + 2*l - 10 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 8 + 12)*(-2 + 0 - 1)*(5*q - 5*q + 2*q) to the form h + t*q and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.119792 + -0.1078249. Round m to 4 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q - 1057 = -3*h - 1089, -4*q = -4*h - 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 175573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g*g**9)\/(g*g\/g**(7\/5)*g)*(g*g\/(g*g**(-3)*g*g))**18 assuming g is positive.\nAnswer: g**(227\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a, 1 s, and 1 f when three letters picked without replacement from {f: 1, s: 2, a: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1560 = -5*z - c, c + 0*c + 5 = 0. Let n be 7476\/78 - (-2)\/13. Let h = n + z. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 248*(0 + 2)*3750\/4. Round m to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -90 + 107*c + 137*c - 268*c. Let o be s(-4). Solve 2*r = -2 - o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 + 12*c**2 + 30*c - 17. Let q be f(14). Suppose -3*u - 32 = u. Let w = u + q. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 2*d = -2732, 4*a + d + 5446 = -4*d. Suppose -2*y + 623 = 2105. Let t = y - a. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 238*r**2 - 718*r + 12.\nAnswer: 2*(r - 3)*(119*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i - 7*p + 2*p - 15 = 0, 4*p + 12 = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 31 - -d7174?\nAnswer: d71a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -233633 - -5?\nAnswer: -233629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-19\/2)\/(f\/f**(9\/5))*((f\/f**24*f)\/f)**(2\/41) assuming f is positive.\nAnswer: f**(-4027\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrmrlrlrrr. What is prob of sequence ll?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 0*k + 34 = -j, 3*j = 4*k - 30. What is the highest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1036 + 1034. What is the nearest to v in 0.2, 3\/2, -1, -0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -51\/2120 and 111\/3640.\nAnswer: 192920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**2 - 35080*s - 2799994. What is q(-80)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 22 + (-481 + 499 - (0 - -38)) + 14\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -4180 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the second derivative of -j**5\/20 + 5*j**4\/12 + j**3\/3 - 7*j**2\/2 + j. Let k be r(5). Suppose -k*p = h + 3 - 4, -2*h - 5*p = -4. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2538 + -2428. What is the least common multiple of c and 88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 3722, 7492, 11260, 15026, 18790, 22552?\n\"Answer: -y**2 + 3773*y - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 187 in 5, 15, -2\/11?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mzmzzzzzzz. What is prob of sequence zmmz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 66 + 26 = 0. Let a(k) be the first derivative of -q*k - 16*k**2 - 14\/3*k**3 - 5. Suppose a(b) = 0. Calculate b.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4368 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the third derivative of -d**6\/36 + 2*d**3 + 12*d**2. Let b(v) be the first derivative of u(v). Let y(g) = -g. Calculate b(y(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*x**3 - 15294*x**2 + 111732*x + 102368 = 0.\nAnswer: -457, -14\/17, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -172, -171, -170, -169, -168, -167?\n\"Answer: f - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 1 - 15*d + 7 + 6*d - 12*d.\nAnswer: -21*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be -5 - ((-1 - 3) + -192). Suppose -3*r + 758 = 4*a - r, o = a + r. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the second derivative of d**6\/15 - 4*d**3\/3 + 5*d. What is the second derivative of n(b) wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in 2\/19, -0.1, 0, -11?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.3127687kg?\nAnswer: 312768700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 237192?\nAnswer: 2, 3, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that 2*r**4 + 596*r**3 - 47606*r**2 + 799120*r + 1793400 = 0.\nAnswer: -366, -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = d + 745, -2*x + 16*d - 18*d + 360 = 0. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n - 2*w - 28 = 3*n, -5*n - 30 = -5*w. What are the prime factors of (-503)\/n + (-5 - (-123)\/24)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 23 - 20. Suppose 12 = q*g - 3*y, 0*g - g + 4 = 5*y. Let t(l) = 37*l - 12. Let s be t(g). Calculate the greatest common factor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*o*(o*o\/((o**(4\/9)*o)\/o))\/o)\/o)\/o*o**3)**(21\/5) assuming o is positive.\nAnswer: o**(224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -1579\/12 smaller than -133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be -10 - -1*696\/69. Factor 2\/23*r - h*r**2 + 0.\nAnswer: -2*r*(r - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11 + -10.994. Let p = 72.006 - i. Let c = p - 72.000124. What is c rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-4)\/(-10) + 6*(-27)\/(-45))*1. Solve -2*f = -x*f - 4*d, 0 = -3*f - 4*d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9757668163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) -2\/17 (c) 3 (d) -20\/7 (e) 22\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1.02+-243\nAnswer: -244.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**2 + 6*l + 13. Let m(z) = 52*z**2 + 2*z. What is the remainder when m(-1) is divided by x(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of d**5\/100 - 18*d. Solve g(i) = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the first derivative of a**3\/3 + 3*a**2\/2 + a + 3. Calculate k(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 7 = 1. Suppose 0 = 4*v + 5*n - 1 - 5, -2 = -2*v - p*n. Solve -22 = -v*k - 4*j - 10, 7 = k + 2*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2 + 0 - (3 - 39010563). Suppose 4 = -4*f, -5*t + 3*f = -2010565 + i. Round t to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, u: 2, v: 2, p: 2, y: 1, z: 1}. What is prob of picking 1 v, 1 z, and 1 o?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 25*k - 93*k - 89*k + ((5*k - k - 5*k)*(-2 + 1 + 2) - 14*k - 11*k + 16*k + 4*k + 0*k - 2*k)*(-1 - 1 - 3) to the form t*k + s and give t.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - z - 87 = 0. Solve -5*x = 4 - z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -18 - -10. Let f = z + 3. Let i = 17\/20 + -5\/4. Which is the second biggest value? (a) i (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2bfa8 - 9?\nAnswer: -2bfb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -97801 at least as big as -97907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m + 12 = -5*q, 4*q + 10 - 7 = 5*m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 7950 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 48\/269 and 91\/4035.\nAnswer: 4035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 2*t**3\/5 - 326*t**2\/5 - 356*t + 3360 = 0.\nAnswer: -10, 5, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -76*a**2 + 37*a**2 + 37*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -5*j - 4*v + 59, 3*j - 66 = 3*v. What is the remainder when 41 is divided by -4*j\/(-6)*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*j - 9*j = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from dlccbdlbdbdcebbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/((-1395)\/(-31))*-51?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 837 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 225 + -222. Let r be 77\/66 + 1\/(-2). Which is the fourth smallest value? (a) 2 (b) r (c) -9\/2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 8*1\/8 + (-274)\/34. Let w = 587\/153 + m. Let d = -4243 - -46718\/11. What is the common denominator of w and d?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -118 divided by 125521.\nAnswer: -118\/125521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 210 = -9*n. Suppose -3*b = -0*b - n. Let x = b - 12. Solve x*q + 20 = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13016991 is divided by 781?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2027, -2031, -2035, -2039?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 112 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 86*d = 85*d - 4. Let i be 4\/10 - 86\/190. Let y = i + -13\/114. Which is the nearest to -1? (a) d (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2.6 + 4.3. Let u = -418485.78 - -418486. Which is greater: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 83 (b) -106 (c) 3\/5 (d) -6 (e) 5 (f) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2\/(-8))\/(21\/392) - -6. Factor 2\/3*k**2 - g - 2\/3*k.\nAnswer: 2*(k - 2)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w\/(w\/(w*w*w**(5\/7))))\/w**(-11) assuming w is positive.\nAnswer: w**(103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-417)\/12)\/((-1)\/(-4)). Let x = 198 + d. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20 divided by 2245?\nAnswer: -4\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 30, 56, 78, 96?\n\"Answer: -2*u**2 + 32*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**2 + 12*l - 4. Let h(w) = 7*w - 18. Let y be h(2). Let m(k) = 42*k + 180. Let r be m(y). Calculate q(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**3\/17 - 27108*b**2\/17 - 122473944*b\/17 - 184445759664\/17.\nAnswer: -2*(b + 4518)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 1533.1411 to the nearest ten.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Is 955 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-6))\/((-8)\/108*-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (49018 - 49018 - 339*o)*(-3 + 3 + o + (0 + 2 + 2)*(0*o - 3*o + 4*o)) - 4*o**2 + 3*o**2 - o**2 in the form x*o**2 + p*o + r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**3 + 5*p**2 - 9*p + 12. Let w be k(-8). Let t = 109 + w. What is the closest to 4\/3 in 0, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -202 and -7.\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, f: 2, t: 3, l: 6}. What is prob of sequence fw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + 10 + -8 + -4 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 837.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jw when two letters picked without replacement from altwj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -16, -22, -22, -16, -4, 14?\n\"Answer: 3*p**2 - 15*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 1. Let w(h) = -6*h - 6. What is 6*g(v) + w(v)?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2 + 9\/270*78. What is the fourth smallest value in q, 281, 2\/5, 1\/2?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121) - (sqrt(121) - sqrt(121)*-2*-2))*6)\/((sqrt(77)*4*-4 + sqrt(77))\/sqrt(7)).\nAnswer: -8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*u + 120254816 - 120251001 = 0 for u.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 119 a factor of 914277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be -2 - 4\/(-6)*105. Suppose 0 = 10*g - m - 2. Solve g*t = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -290, -574, -854, -1130, -1402, -1670?\n\"Answer: 2*l**2 - 290*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = -v + 145, 3*v + 2*n - 471 = 5*n. Suppose -3*u = u - v. Let y = u + -25. Solve -3*r + 4*r = -5*w + y, 11 = -w - 3*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the third derivative of c**8\/90720 + c**7\/7560 + c**6\/1620 - c**5\/60 + c**2. Let m(i) be the third derivative of g(i). Solve m(o) = 0 for o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-7 + 7 - 2) + (-1 - -1). Let m be -2 + -4 + (h - -2730008). Round m to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the third derivative of 0*q - 17\/6*q**3 + 7*q**2 + 0 - 3\/8*q**4. Is k(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 39552638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 33, 53, 61, 51, 17?\n\"Answer: -b**3 + 27*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(78)*6)\/(sqrt(144)\/sqrt(6)).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 254*l + 1501. Calculate y(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 507 - 572 + 37135*x**2 - 2*x - 37137*x**2 + (5*x - 2*x - 5*x)*(x - x + x) to p*x + r + c*x**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/1*(-5)\/10*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.0638 - 281.1638. Let d = g - -282. Which is the biggest value? (a) -0.15 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -81597, -163204, -244811, -326418, -408025, -489632?\n\"Answer: -81607*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**2. Let r(a) = 2*a**2 - a - 1. Let p be r(-1). Suppose -4*n + 6 = -n. Let t(l) = l**2 + l**p + 4*l**n - 4*l**2. Give v(t(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*n - 18*n + 1054 = 3*l, 0 = 4*n + 2*l - 844. What is the remainder when n is divided by 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -639, -726, -813, -900, -987, -1074?\n\"Answer: -87*p - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*d**3 + d**2 + d - d + (-1031 + 522 - 535)*(d**3 + d**3 - 4*d**3) to s*d + m*d**2 + c*d**3 + f and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 668 + -660. What is the remainder when 21 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 2*o**3 + 242*o**2 + 710*o + 372. What is h(-118)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b be 9\/(-63)*(-7)\/2. Let a = -122\/7 + 2792\/161. What is the third smallest value in 2, b, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-2)\/(-24))\/((-1294)\/1228653). Are c and -79 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f + 6. Let u be j(6). Suppose 3*l - 6 - 6 = u. Solve k + 1 = 5*z, -k + 0*k - 1 = -l*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-19 - -1) + 23 + 7 + (-14 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -92 (base 13) to base 7\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 3032537 - 94163 = 0. Suppose -2*u - u + 3*c = -27676014, -2*c - 9225336 = -u. Let a = u + q. Round a to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 5, -2, 160, -1, 41, 26 in descending order.\nAnswer: 160, 41, 26, 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 8 + 14d?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00345257 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -11*w**3 + 6*w**2 - 11*w - 6. Let g = 30313 - 30296. Let z(b) = 4*b**3 - 2*b**2 + 4*b + 2. Give g*z(m) + 6*j(m).\nAnswer: 2*m**3 + 2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 77986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 112 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the second derivative of -z**3\/2 - z**2\/2 + 19*z + 215. Let u = -6 + 3. Let w = u + 1. Let m(y) = 14*y + 6. Determine w*m(g) - 11*v(g).\nAnswer: 5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the second derivative of 13\/6*s**3 + 14*s + 0 - 5\/2*s**2 - 1\/12*s**4. Let o be r(13). Let d(x) = -x**3 - 6*x**2 - 5*x. What is d(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 154009 divided by 3\nAnswer: 154009\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2494548543 to the power of 1\/4, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8641 + -4134. Is y 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 1182?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -421bd8 (base 14) to base 13.\nAnswer: -602640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s. Let g(t) = -t**3 - 11*t**2 - 11*t - 7. Let i be g(-10). Let r(u) be the first derivative of 0*u**2 - 2\/3*u**i + 3 + 0*u. Give r(n(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14500 - -14578.59. Let l = w + -1.59. Let r = l - 82. Which is the biggest value? (a) 0.4 (b) r (c) -4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 6392\/(-18377) - (-1696)\/6992\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - -4. What is the third derivative of -9 + 9 + 4*p**2 - 4*p**j wrt p?\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -71*((-224)\/20 + 3). Let o = n + -573. Calculate the common denominator of -3\/11 and o.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 8 - -16?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 5358*z - 2. Let j(m) = 75170*m. Calculate j(v(u)).\nAnswer: 402760860*u - 150340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -0.01 * 0.3223\nAnswer: -0.003223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b - 16 = 4*i, 3*i - 2*b + b = 32671 - 32667 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 42 - 1. What is the remainder when i is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5\/3 - 1\/(-3). Suppose 14 = 5*o - f - f, 2*o + 4*f = 20. Suppose q*g + 2*p = -3*p + 8, -3*g = -o*p - 58. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -264 - -259. Which is the nearest to -2? (a) 0.3 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 694397 - -1639536. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28532057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(162)*1)\/(sqrt(150)*-1 + sqrt(6)))**2.\nAnswer: 243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 382 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 88.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51878*l + 51886*l + 51898*l - 155648*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = 196292915.9999948 - 196292881. Let s = -302 - -267. Let o = f + s. What is o rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 184568 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -131203233 (base 4) in base 11?\nAnswer: -82a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -32832 and -19.\nAnswer: 623808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/5 greater than 11839172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -533*q + 3751. What is a(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 11, p: 1, n: 2}. What is prob of picking 1 n and 2 u?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes before 4:28 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 22*x - 10. Let f be g(7). Suppose 0 = 2*y + 4*n - 14, -4*y - 2*n = 3*n - 22. Suppose -y*w = -w - f. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11 - 7. Let v be (j\/2)\/(-4)*0. Is 4 a factor of -2*(-6)\/3 + v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20944.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8971034 litres to millilitres.\nAnswer: 897.1034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1, 73, 265, 635, 1243, 2149, 3413?\n\"Answer: 10*l**3 - l**2 + 7*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(4598))\/(sqrt(2)*-2*6))**2.\nAnswer: 2299\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(7) - sqrt(14)\/sqrt(2)) + sqrt(7))*5*6 + -1 + 6*(sqrt(343)*4 + sqrt(7))*2)**2.\nAnswer: -756*sqrt(7) + 1000189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 404091 is divided by 451.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:17 PM and 7:47 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ulglllrlrrrll. What is prob of sequence ul?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 82 - 254 = 23*i + 288 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 110*a**5 + 59788*a**4 + 5010*a**2 - a - 103 wrt a.\nAnswer: 6600*a**2 + 1434912*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -55 - 26?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 775 divide 2131068650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 + 7*s**2)*(-18 + s**2 + 18) + 5*s**4 - 3*s**4 - 4*s**4 + (2*s - s**3 - 2*s)*(2*s - 2*s + s) + 2*s**4 + 0 + 0.\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 21966*h**2*s**4 + 1703*h**2*s**2 - 9*h**2 - 633*h*s**4 - 3*h*s**2 - 2*h*s + h + 191 wrt s.\nAnswer: 527184*h**2*s - 15192*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-15)\/12*4\/(-7). Let x be 4 + -82*18\/(-28). Let g = 57 - x. Which is the biggest value? (a) k (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -731*r**4 + 511 with respect to r.\nAnswer: -2924*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 546712.4mg?\nAnswer: 0.5467124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:14 AM and 8:21 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -796 plus 0.334696739?\nAnswer: -795.665303261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*b - 5*p - 17, -5*b - 4*p - 17 = -7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the third derivative of -t**6\/120 - t**5\/10 + 7*t**4\/24 + 7*t**3\/6 + 117*t**2 + 2. What is the hundreds digit of x(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*h + 0*h - 64 + 0*h - 7 - h as s + m*h and give s.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1)*f*f)\/(f\/(f\/f**4))*f**(-2\/7)\/f**(-1\/13)*((f*f**(1\/10)\/f)\/((f*f**(-4\/7))\/f))\/(f*f*f*f**0*f*f)**(-33) assuming f is positive.\nAnswer: f**(147841\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes after 11:34 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -4324 >= -4339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4253650 a multiple of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ssasasam.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 65483 and 35718?\nAnswer: 392898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is ((-244)\/10)\/((-89856)\/28080*1\/8*-1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 129*m**3 - 163*m wrt m?\nAnswer: 774*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5870642.20000056 + 5870642. Let u = 0.2 + o. Round u to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide (-30 - 0)*22\/(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(1 - -1) - -3.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1490237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 21 - 20. What is the nearest to r in 3, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the second derivative of 2091*j**5\/20 - 1033*j**2\/2 + 396*j. What is the derivative of h(c) wrt c?\nAnswer: 6273*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 - -39. Suppose 17 = 3*p - 4. Let u = z + p. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4769*a**2 + 5493 with respect to a.\nAnswer: -9538*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 22, 1, -4, 29, -5 in descending order.\nAnswer: 29, 22, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 188\/(-46) + (2483 - 2469 - ((2 - 1) + 9)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36\/(-15)*15\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(-1))**(-2)*o\/(o*o**(-7))*o**7 assuming o is positive.\nAnswer: o**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 367548.\nAnswer: 2, 3, 109, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -114912*j**4*x + 20*j**3*x + 5*j**2*x - 15*j**2 + 799*j*x - j wrt j?\nAnswer: -2757888*j*x + 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wnwnwnnnwwwwwwwwwww. Give prob of sequence nnww.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -7, -29753, 5, 3 in increasing order.\nAnswer: -29753, -7, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -2*d + 3*y, -d - 3*y = -y - 16. What is the remainder when 45 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 187153\/1575 - -108\/175. Which is greater: 120 or v?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53938875 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4316 is divided by 394?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 1415*d - 15. Let j be a(1). What is the biggest value in j, 0.1, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -1449*n + 5. Let g(q) = 1455*q - 4. Determine -4*g(x) - 3*y(x).\nAnswer: -1473*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 370546068 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m**3 - 27*m**2 - 70*m + 53. Let c be v(-24). Let a(z) = 12*z**2 - 7*z - 4. Let t(y) = 6*y**2 - 4*y - 2. Calculate c*t(j) - 3*a(j).\nAnswer: -6*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -44.8384591 to the nearest integer.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b**2 + 5*b + 3. Suppose 4*t - 24 = -0*t + 4*w, 2*w = -t. Determine g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.002041484 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.06 and -1042822?\nAnswer: -62569.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 101385121\/307 - 52995840181\/40524. Let f = -977506 - h. Let j = -41\/3 + f. Find the common denominator of j and 5\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19.706 rounded to zero decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let -50*o**5 + 2320*o**4 - 22672*o**3 + 54692*o**2 - 19230*o + 1836 = 0. Calculate o.\nAnswer: 1\/5, 3, 9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express g**2 - 595 + 602 + 4*g**2 + 43*g**2 + 113*g**2 in the form w*g + p*g**2 + y and give p.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -c = -4*u - 15, 36*c + 4*u + 18 = 38*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 13703451 + -2?\nAnswer: 13703448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 28.96 + -28.32. Let n = -239\/340 + -4\/85. Which is bigger: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, b: 1, a: 2, d: 1, i: 1}. Give prob of sequence ki.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = 3, -3*j - 2*j + 4*g = -546. What is the greatest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (399\/(-1140)*(-375)\/(-10))\/((-35)\/28)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the third derivative of 0 + 19*o**2 + 1\/16*o**4 - 2*o + 1\/120*o**5 + 1\/6*o**3. Factor d(v).\nAnswer: (v + 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.2 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 2*h = 3*q - 1439992, 3*q + 5*h = 1439990. What is q rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -125343, -125346, -125349, -125352?\n\"Answer: -3*r - 125340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 461845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 534, 1079, 1642, 2223, 2822, 3439, 4074?\n\"Answer: 9*x**2 + 518*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**3 - 10*j**2 - 21*j - 32. Let o be z(-13). Suppose 9*v - 3*s - o = 4*v, 2*v + 3*s - 316 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 - 2924*j**2 + 7698*j**2 + 3560*j**2 + 1782*j**2 + 5 to the form v*j + d + r*j**2 and give r.\nAnswer: 10116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*y**3 - 8*y**3 + y**3 + (0 - 4 + 0)*(-4*y**3 - 6*y**3 + 0*y**3) to the form g*y**3 + s*y + n*y**2 + h and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 75158 minus 7?\nAnswer: 75151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1952 and 130723.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 43 + -38. Suppose r*a = -5*x + 55, 14 = 5*x - 4*x - 2*a. Let d(g) = g**2 + g + 4. Let o be d(4). What is the highest common divisor of x and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 6*m - 40. Let d be i(7). Factor -6*w**2 + 125 + 175*w - 631*w**3 + 636*w**3 + 61*w**d.\nAnswer: 5*(w + 1)*(w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 141948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k + 2*i + 20, -2*k - 69*i - 16 = -65*i. Solve 2 = 4*w + k*n + 10, -n + 6 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -3*x**2 + 14*x + 30. Let l be c(6). Let m(w) = -7*w**2 - 8. Let b(z) = z**2 - z + 1. Let a(g) = l*b(g) + m(g). Give a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 564*b*v**2 + b - v**4 + 1019 wrt v.\nAnswer: 1128*b*v - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -481, -969, -1471, -1993, -2541, -3121, -3739?\nAnswer: -4401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3099677 and 0.3.\nAnswer: -929903.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/2 - 2\/(-4)*1. Suppose 3*k - 23 - 23 = -5*r, 0 = -3*k - 3*r + 48. Solve -g - 13 = 3*s, -5*s + o*s - k = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 8 = 2*g. Suppose -3*k = k - g. Suppose -5*t + 5*s = -k*t - 56, 0 = s - 2. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f**3 - 2*f**2 - 2*f - 1. Let s = 95 - 82. Suppose -2*l = -2*k - 6, 5*k - s = -5*l + 2. What is g(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7\/41 - 835\/5371. Let d = 1588139 - 1248278183\/786. Let r = u + d. Find the common denominator of r and -37\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 17*h**2 + 3*h**2 + 13*h**2 + 17*h**2 in the form o + p*h**2 + l*h and give p.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4105 + 299655\/73. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/368820336 and 33\/20.\nAnswer: 1844101680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.005 - -4.105. Let z = m + -4.2. Which is the third biggest value? (a) 6 (b) -5 (c) z (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -34 + 31 + 2 + 7 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*s - 336 = 5*s. What is the greatest common divisor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-14)\/(-8))\/(6\/8)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k**3 - 69*k**2 + 2080*k - 12731. What is g(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 17\/5 - (-522)\/(-1305). Let k be (3 - -1) + (2 - 0). Suppose 173990 = -s*b - 5*r, -r + k*r = -b - 57990. What is b rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1687232467 is divided by 7018?\nAnswer: 7015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 137\/63684 and -44\/26535.\nAnswer: 318420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -12d (base 15) to base 16.\nAnswer: -10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.5 and -0.157127932.\nAnswer: -0.657127932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 10012 (base 4) in base 2?\nAnswer: 100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 138 + -141. Let r be (-1)\/((f - -4)\/(28\/(-4))). Which is bigger: r or -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-88)\/16 - 1\/2. Does 5 divide (-2)\/y*9 + 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 663*f + 0 + 916*f + 3682*f in the form s + v*f and give v.\nAnswer: 5261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -30*m**3\/7 + 8452*m**2 - 29173768*m\/7 + 3888784\/7.\nAnswer: -2*(m - 986)**2*(15*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x - 9430. Let j(t) = -6*t. Calculate p(j(f)).\nAnswer: 6*f - 9430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -425, -445, -467, -491, -517, -545?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/96)\/(75\/60). Let c(r) be the third derivative of -2*r**2 - 1\/120*r**6 + 0*r**3 + 0*r**4 + q*r**5 + 0*r + 0. Find the third derivative of c(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve h**4\/4 - 7*h**2\/4 - 3*h\/2 = 0 for h.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*h*w**3 - 13*h*w**2 + 10*w**4 - 4*w**2 wrt w.\nAnswer: 18*h + 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 3*q**3 + 2*q**2 + 5*q + 2. Let f(l) be the first derivative of -l**4\/4 - l**3\/3 - l**2\/2 - l - 3. What is 2*f(h) + t(h)?\nAnswer: h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 20*f + 3. Determine j(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes before 6:30 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 6, s: 9, f: 2}. Give prob of sequence oof.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:23 AM and 2:15 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 2*i - 406 = 0, -i - 2*i = 2*c - 223. Let w = c + -25. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1551.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -14*o + 6. Let w(v) = 8 - 14 - v + 7. Let c(i) = -12*w(i) + y(i). What is the derivative of c(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1249558, -1249524, -1249468, -1249390?\nAnswer: -1249290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 34*m - 12. Let z = 4 + 2. Let x be q(z). Suppose 0 = d - 2*o - 64, d - 4*d + 4*o + x = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -18*a**2. Let k = 263 + -261. Let j(z) = -4*z**2 + 26*z**k - 23*z**2. Give j(r(p)).\nAnswer: -324*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 13*n**2 + 0*n + 0*n. Let d(g) = 2*g - 1. Let m(k) = -k**2 - 4*k + 6*k**2 - 4*k**2 - 4 + 12*k. Let y(z) = 4*d(z) - m(z). Calculate s(y(w)).\nAnswer: 13*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i**2 + 139*i - 1657. Give z(-80).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l - 6. Suppose -42 = 3*y - 5*q, 0*q + 6 = y + 5*q. Let v be b(y). Let c be (-5 + 3)\/(4\/(-22)). Solve -5*k - 2*t - v = 1, 2*k - c = -5*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 37.4*-63403\nAnswer: -2371272.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = 4*c - s, -3*s = -4*c + 3*c. Solve c = -4*f - 2*m + 10, -2 = 4*f + m - 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 107\/20 and 59\/1776.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 6 divided by 23\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 5*i + 2 = -5, 3*i = -4*l + 9. Let f be 24\/(12\/l)*2\/6. Let d be f\/(-4) + 46\/4. Do 34\/3 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87*d - 23426 = 2*q - 89*d, -35141 = 3*q - 2*d. Let n = q - -175801\/15. Calculate the common denominator of -71\/70 and n.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/2, 1\/7, -3, 0.02, -1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16241, -32484, -48725, -64964, -81201, -97436, -113669?\nAnswer: -129900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x**3 - x**3 + 35*x**3)*(-1 - 2*x**2 + 1) + 8*x**4 - 8*x**4 - 3*x**5 + 30*x**5 - 17*x**5 + 26*x**5.\nAnswer: -38*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**2 - 177*n + 7765. Let b be g(97). Suppose -2*j - 24 = 4*t, -2*j + 0*t - 8 = -4*t. Sort 0, 3, b, j in ascending order.\nAnswer: j, 0, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46100 is divided by 5105.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-492)\/4*93\/279?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 13) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 220588090?\nAnswer: 2, 5, 17, 233, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 764789?\nAnswer: 764789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Are -176086\/5 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 64 = 246. Let a = 56 - m. Let q be a*((-1)\/6 + -1). What is the nearest to 0 in 5, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -2, -1, -5, 7916 in increasing order.\nAnswer: -5, -2, -1, 2, 7916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -13 - -37. Let s = l + -27. What is the biggest value in -0.08, -0.1, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 4*i - 7*i + 26, 5*i - 4*u = -10. Suppose -7*q = -i + 9. Which is bigger: q or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2*(-6)\/6)\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(6)\/(sqrt(2) - 1*2*sqrt(2)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 21\/(-6) + (-2)\/(-4). Let r = 0 - z. Suppose -r*t = 3*d - 57, t - 55 = -3*d - 0*t. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a = -12*a + 10. Is ((a - 0)*257)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 8, 0.3, 134 in decreasing order.\nAnswer: 134, 8, 0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 less than or equal to -35925\/184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1360 and 4080?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (18\/108)\/(2\/(-3))*((-46592)\/(-16))\/(-56)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4345, -18136, -41363, -74026, -116125?\nAnswer: -167660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.4014*-25.\nAnswer: 35.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/5 of a decade in months?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2667868*c - 1334572*c - 1333295*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -110000011101001 (base 2) to base 13.\nAnswer: -b3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 PM and 5:24 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2651.\nAnswer: 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the second derivative of 397*a**3\/6 - 2*a**2 + 15*a. Let k be m(1). Suppose -2*n + 3*q = -5*n + k, -4*n + 3*q + 531 = 0. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10609*f**3 + 91412*f**3 + 25 - 25.\nAnswer: 80803*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -6584791 - 4?\nAnswer: -6584795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -77 - -96. What is the highest common factor of v and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n - 11. Let m be r(-15). Suppose -2*s + 12 = s. Find the second derivative of m*b - b**4 - 2*b**s - 3*b wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-62424)\/(-84) + 4\/(-28). Let o = s + -670. Solve 5*k + o - 53 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide -7 - (-975)\/26*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5447*h**2 - 5447*h**2 + 264*h**3)*(-1 + 1 + 1)*(-4 - 1 + 2) to x + r*h + o*h**2 + q*h**3 and give q.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 59052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 9559.198 centuries to years.\nAnswer: 955919.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (6\/9)\/((-4)\/(-30)). Suppose -1 + 16 = -p*r. Let i(h) = -11445*h**2 - 3*h - 4. Let b be i(r). Round b to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1003, -1002, -1001, -1000, -999?\nAnswer: -998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 5 - -71?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.123 - -0.12299939. Round f to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -113, -429, -953, -1685, -2625, -3773?\n\"Answer: -104*i**2 - 4*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = -2*i - 21, -3*m + 64*i - 68*i = 47. Put -4, 1, m, 9, 73 in decreasing order.\nAnswer: 73, 9, 1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the first derivative of d**8\/168 + d**4\/24 + 5*d**2\/2 + 6. Let m(x) be the second derivative of u(x). What is the second derivative of m(g) wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 2 f when three letters picked without replacement from pfffzao?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-160)\/6*(138\/70 - 82*(-294)\/56252)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 49967, 199868, 449699, 799460, 1249151, 1798772?\nAnswer: 2448323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hfqb when four letters picked without replacement from {q: 2, i: 1, f: 3, h: 1, b: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/9 + (-7)\/(-3). Suppose -f - 3*r = f - 7, i*r - 12 = -2*f. What is the greatest common factor of f and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 26*c - 23*c + 5*v, -3*v + 15 = 3*c. Solve 0 = -n - 9*q + 7*q, -c*q = 2*n - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 27 and (-30)\/(-12) - (3 - (-172)\/(-8)).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*i**4\/2 + 1331031*i**3 - 443680*i**2 - 739463*i - 295785\/2 = 0.\nAnswer: -295785, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3481420 is divided by 290118.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**3 - 18*o**2 + 57*o - 8. Let z be b(14). Let n(g) = -g - 2. Let r(p) = -3. What is z*r(y) - 9*n(y)?\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 3*p**2 + 32*p - 70. What are the prime factors of w(-20)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 24 + -2. Suppose -s - 4 = -n. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 539 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -131\/3366 and -47\/2448.\nAnswer: 26928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**3 - 16*q**2 - 7*q - 26. Let h be t(16). Let d = 257 + h. Is d at most as big as 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24.097831 + 355.\nAnswer: 379.097831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11 - 9. Factor 7 + 2*o**2 + 2*o + 3*o**u + 3*o**3 - 7.\nAnswer: o*(o + 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -41246 - -38199. Is t <= -3050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*u**2 - 718000*u - 2871920.\nAnswer: -5*(u + 4)*(u + 143596)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sum 9108074613 and 5.\nAnswer: 9108074618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = 8, -z + 1 + 8 = o. Are o and -2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -315*b + 0*b = -91*b + 896 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (17 + -57 + 25 - 101) + 26.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the first derivative of m**2\/2 + 1. Let u(r) = -465 + 36*r + 196 + 267 + 132*r - 7*r. Calculate u(y(x)).\nAnswer: 161*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 30512809 >= 30512808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -23*w + 18*w + 15. Let k(h) = -w*h**2 + 12*h - 13*h + 4*h**2. Let c(o) = -7*o**2 + 2*o. Calculate c(t) + 5*k(t).\nAnswer: -2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -4*y - 6. Let c be o(-6). Let n = c - 16. Suppose 0 = 2*k + 4, 0 = -4*b - n*k + 253 + 51. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 26\/231 and -79\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d - z - 5 = 2*d, -z - 5 = -2*d. Suppose 2*m - 3694 = -d*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -p**4 - 8*p**2 + 7 wrt p?\nAnswer: -4*p**3 - 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.06 in 0, 49, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -868 in 9, 24, 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 154 - 1076\/7. Let h = 180 + -1256\/7. Which is the third smallest value? (a) h (b) -9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.02, 19, 1\/3 in ascending order.\nAnswer: -0.02, 1\/3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 179 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 33 = -b, c + 3 = -3*b + b. Suppose -3*u = -15, -2*g + c*g - 85 = u. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*b - 3*b - 2*b)*(b**2 - b**2 - b**2) + (0*b - b**2 + 0*b)*(198*b + 40*b + 234*b + (-b - 4*b + 3*b)*(1 - 1 - 1)).\nAnswer: -472*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1655\/10)\/(20\/40). Suppose 3*c + 588 = -0*c. Let f = c + h. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 + 0.1. Let m = 0.05 + n. Let i = m + -0.14993. What is i rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**3 + 2*l**2 + 2*l + 1. Let p be c(-1). Suppose -a + 2*a + 2*q + 4 = p, 0 = a + 5*q + 10. Let y be (2\/(-8))\/(12\/16). Do y and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 7*h + 37. Let m be 4 - 12\/(-6) - 12. Let s be r(m). Sort 2, s, 1, 5 in descending order.\nAnswer: 5, 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.2 - 1. Let a = 101757\/5 - 20351. Sort -24, a, -5, f.\nAnswer: -24, -5, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -10, 7, -3, 0 in decreasing order.\nAnswer: 7, 5, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**3 - 8*n**2 + 8*n - 4. Let a be p(7). What is the remainder when 28 is divided by 4\/(8\/26) - a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 28696765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 85 divide 93585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/r**(4\/9))\/(r\/r**(7\/10))*r**5*r\/((r**10*r)\/r))**(4\/5) assuming r is positive.\nAnswer: r**(-674\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -925 + 3*k**2 + 56*k - 82*k - 101*k - 157*k wrt k?\nAnswer: 6*k - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a**2 - 33*a + 36. Calculate the remainder when 752 is divided by y(33).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 4 - c - 7 + 0 + 2. Calculate f(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 225945743.\nAnswer: 137, 269, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k + 4. Let b(c) = -2*c - 9. Let j be ((-2)\/(-6))\/((-12)\/(-144)). Let l(z) = j*b(z) + 9*q(z). Let p(o) = -o**2. Calculate p(l(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**(-2\/5))**(20\/7)*(x\/x**(2\/11))\/(x*x**(-1\/3)\/x*x))**(-1\/4))**1 assuming x is positive.\nAnswer: x**(229\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001011001100011111110 - -1000011?\nAnswer: -1001011001100010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11258 - 11257.5417. Round k to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 20390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7, -345, -943, -1787?\nAnswer: -2877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1523 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -77, 22, -2, 43.\nAnswer: -77, -2, 22, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 - -356?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the third derivative of o**6\/420 + 9*o**5\/70 + 29*o**4\/21 + 44*o**3\/7 + 2*o**2 + 4*o + 168. Factor k(l).\nAnswer: 2*(l + 2)*(l + 3)*(l + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = 4*x - 1 - 4 + 23, 0 = 16*u + 32 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/27 in -0.4, 12, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*l + 6652 - 15906. What is the smallest common multiple of l and 3305?\nAnswer: 6610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fqqftlqqqlqyqqqzqf. What is prob of picking 1 y, 1 q, and 2 l?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - r + 6 = 0. Let x be (-1)\/r + 6\/9. Let h(t) be the first derivative of t**2 - t - 1. Determine h(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8.1*-0.07717\nAnswer: -0.625077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1892713915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3987 - 16237 = -7*s. Does 125 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 548, -1, 0.044, 4?\nAnswer: 548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(960) - sqrt(60))\/(3*sqrt(12)*3).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 + 0. Let j be 3463 - (-3 + 2)*u. Suppose j = -3*z + 4*w - 7*w, w = -4. What is z rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0, -221 in decreasing order.\nAnswer: 5, 0, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 452, -1, 2\/53, -1\/4, 1\/2, 2\/229?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 18711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 3*d = 7*d - 146, -2*z = -5*d - 253. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is z in z**2 - 1466*z - 712635 = 0?\nAnswer: -385, 1851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/12441563 or -1?\nAnswer: -2\/12441563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31414 is divided by 5123?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4116, 5515, 7848, 11115?\nAnswer: 15316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 55801\/56016 - -15\/389. What is the common denominator of 71\/128 and w?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20 - (-1 + (-12 - -8 - 5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -434 - 322 = -9*k. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 128 - 126. What is the units digit of 54\/s + 13 + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**3 + j - 1. Suppose -h - 13 = -3*i, 4*h - 11 = -4*i + 17. Calculate g(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87 a factor of 350054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7877 - 7397. What is the greatest common factor of 224 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -798.24 and -4126409?\nAnswer: 4125610.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-92)\/(-12))\/(4\/(-24)). Let p be (10 - 13) + j\/1. Let b = 128 + p. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.01 and -0.05162.\nAnswer: 0.0005162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n be 117\/36 + 1\/(-4) - -13. Solve 4*y + 0*y = n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 22 + 30103003?\nAnswer: 30103031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26327.\nAnswer: 7, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1202.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 27400 (base 9) in base 8?\nAnswer: 44165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the third derivative of -251*u**8\/112 + 39*u**5\/10 + 44*u**2 + 17*u. Find the third derivative of z(q) wrt q.\nAnswer: -45180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - r - 4 = 0, 2*r - 827 + 835 = -4*w. Solve 0 = 5*q + 5*v - 20 - w, 25 = 5*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1462234820 rounded to the nearest one million?\nAnswer: -1462000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4086 = 5*f - 2*z, 2*f = -0*f + 3*z + 1641. Suppose -6*c + 150 = f. Round c to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 - 3.633.\nAnswer: -2.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -o - 4*l, 4*l + 31 = 5*o + 7. Let f be (o - (-231)\/(-28))*0. Factor 0*r**3 - 4\/7*r**2 + 0 + 4\/7*r**4 + f*r.\nAnswer: 4*r**2*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -11.3 - -12. Let i = w + 2.3. Let d be (-4)\/99 - 8\/44. What is the second smallest value in i, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 396364794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be 8\/(-18) - 1133\/(-99). Let k(z) = 5*z**3 + 4*z**2 - 4*z - 4. Let s(a) = 6 + 2 + 11*a - 11*a**2 - 12*a**3 - 2*a**3 + 3. Calculate m*k(y) + 4*s(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -95*h - 5317. Give y(-56).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 471 - 470.994179. What is x rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -16.1 * 0.9.\nAnswer: -14.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 75085, 150187, 225291, 300397, 375505, 450615, 525727?\n\"Answer: w**2 + 75099*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 11982377\/189 + -63399. Calculate the common denominator of a and -5\/231.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 43027612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 65 = -15. Let a = 70 - o. What is the greatest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4*(25\/(-15))\/(30530\/(-213))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 340252 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -3*f - 1. Let z be u(-2). Suppose 2*i = -p - z + 3, 0 = -p - 4. Let q be (5\/5)\/(1\/2). Solve h + q = -i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1.3606 centimeters?\nAnswer: 13606000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -39a1 (base 13) to base 7.\nAnswer: -33014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*z = 6*z + 270468. Suppose 7*a = -4*a + z. Suppose 0 = 8*g - 1654 - a. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 14 (base 15) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from {u: 3, n: 1, d: 2, y: 2, i: 1, l: 8}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 134 divided by -9?\nAnswer: -134\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {e: 4, i: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 258 + -2814?\nAnswer: -2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18 divided by 4555.\nAnswer: -18\/4555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 3*b - 4*p - 5, 5*b + p - 14 = 0. Suppose -13 = -2*l + b. What is the least common multiple of 5 - ((-24)\/(-36))\/(2\/(-51)) and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35612.726 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 323042.2735 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2759*h = -5*g + 2763*h - 7, 0 = h + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 5 (b) 1\/2 (c) -26 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 6*v**2 + 9. Suppose 0 = -5*r - 4*u + 26, -r - 5*u + 2 = -u. Suppose r - 18 = 3*k. What is the units digit of n(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - 3 - (12 + -1 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 123563 + -10?\nAnswer: 123553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 605528?\nAnswer: 2, 7, 11, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 2*h + 30 = 0, -9*w + 57 = -5*w + 5*h. Let o = -94 + 147. Calculate the remainder when o is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45997497 less than 260.3?\nAnswer: -45997236.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0*(2\/(-2) + 0). Suppose -4*k + 0*k + 8 = 0. Suppose -2*x = -5*x + k*q + 20, 5*x + 3*q - 8 = 0. Solve w*v = 4*v - x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1200?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 4*t + 30 = 0, d = -2*d + 2*t - 18. Let l = -4 - d. Solve 3*q + 15 = -l*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 122606, 0, 26 in descending order.\nAnswer: 122606, 26, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*g**3*n**4 + 2*g**3*n**2 - 29*g**3 - 218*g**2*n**4 + n**3 wrt n?\nAnswer: 48*g**3*n - 5232*g**2*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 23619 or 6967272\/295?\nAnswer: 23619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 95326 divided by -1238.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1530.2122848 - -9033.\nAnswer: 7502.7877152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -200, -18, 518, 1408, 2652, 4250?\nAnswer: 6202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f - 1080 = 108*w, 50 = 2874*f - 2877*f - 5*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -2*l**3 - 7*l**2 + 17619*l + 70465. Let w be q(-4). Let i = 22 + -42. Put i, w, -4 in ascending order.\nAnswer: i, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 392278?\nAnswer: 2, 196139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uayzzupyuwyu. What is prob of picking 1 w, 1 u, and 1 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 12 - 18 = 0. Solve -7\/2*n**3 + 7\/2*n - 2*n**v - 1 + 3*n**4 = 0 for n.\nAnswer: -1, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 111\/20 and -139\/4180.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 3, o: 12, h: 2, n: 3}. Give prob of picking 2 o and 1 y.\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6075 is divided by 2023?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(1539) - (2 + sqrt(1539) + sqrt(1539))))**2.\nAnswer: 144*sqrt(19) + 6172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 18930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sssgggssssg. What is prob of sequence sss?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-8\/3))**(-9)\/(c\/(c\/c**13)*c*c**19\/c))**(1\/12) assuming c is positive.\nAnswer: c**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.25 - -13.25. Let m = y - 39. Let t = -26.00038 - m. Round t to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 47*t + 1 - 4*t to the form w*t + c and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(27) - (1*sqrt(27) - sqrt(27)))*-5 + sqrt(27) + sqrt(135)\/(sqrt(10)\/sqrt(2)))*-6)\/(-4*sqrt(9)*-3 + (sqrt(108)*1)\/sqrt(12)))**2*-3.\nAnswer: -2916\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 3*v + 9 = 0, 2*v + 10 + 4 = 2*d. Let x = 22 + -18. Solve 2*z + 1 = -2*q - 1, -3*q - x*z - d = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-1)\/(-2))\/((-10)\/(-120)). Calculate the greatest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 70711616 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-234)\/(-36) - (9 + -7 + 3). Let t = -18 - -56\/3. Which is the nearest to t? (a) 2\/9 (b) 2\/13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 676*d + 9. Let s(c) = c**2. Calculate s(q(x)).\nAnswer: 456976*x**2 + 12168*x + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -6.677 to one decimal place.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 13*p. Let n be 6 - 1 - (-5 - -8). Let r(y) be the first derivative of -1\/2*y**n - 2 + 0*y. Calculate r(m(z)).\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**2 - 2*s - 8. Let x be t(6). Let v be 4\/x + (-1)\/4. Suppose v = -7*p + 2*p + 265. Calculate the remainder when p is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**3 + 6*a**2 + 12*a - 38. Let w(o) = -5*o**2 + 2*o + 142. Let c be w(-5). Calculate u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the third derivative of -x**7\/105 + x**4\/4 - 2*x**2. What is the second derivative of c(f) wrt f?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -73765445325 + 73765445325 + 34*h**3.\nAnswer: 34*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/16 + 38\/8. What is the first derivative of -3*h**2 + 0*h**2 + h**2 + 1 + c wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(-11))\/(h\/(h*h**(-1\/15))) assuming h is positive.\nAnswer: h**(-151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 98*w + 357. Determine v(-6).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 6*q**3 + q**2 + 5*q - 3. Let r(d) = d**3 + d**2 + d + 1. Let n(v) = -o(v) + 4*r(v). Is n(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -631*x + 155792 = -3627*x for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 126 in -20, 0, -1, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 3572499, 7145130, 10717761, 14290392, 17863023?\n\"Answer: 3572631*q - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**17*p\/((p**6*p)\/p)*(p*p**(-1))\/(p\/(p*p**(-41))))**18 assuming p is positive.\nAnswer: p**(-522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -5 (b) 0.3 (c) -23 (d) 1\/9 (e) 4 (f) 0.79 (g) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 254195459?\nAnswer: 7, 4013, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/20)\/((-39)\/104)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the second derivative of 3*k**5\/10 + k**4\/6 - k**3\/2 + 8*k**2 - 71*k - 1. What is the hundreds digit of h(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k**5\/7 - 25500*k**4\/7 + 107177152*k**3\/7 - 143296413696*k**2\/7 - 3121804357632*k - 43131217526784\/7 = 0.\nAnswer: -136, -2, 4296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 4, -2\/9, -8, -3, -18\/139, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 86.1309775 - 96.13095. Let r = 15 - 25. Let t = r - s. What is t rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + 8 - (0 + 3 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 350219, 700425, 1050621, 1400807, 1750983?\n\"Answer: -5*t**2 + 350221*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7479*z**3 + 7477*z**3 - 14968*z**3.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0004847 rounded to 5 decimal places?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (7\/(-2)*(-33)\/(-77))\/(3*2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (3*(-1 + sqrt(5)))**2.\nAnswer: -18*sqrt(5) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/6*(-8)\/6. Let g = 1612.2 + -1612. Let o = 1.8 - 0.8. Which is the third smallest value? (a) g (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-12)\/(-27))\/(4\/18). Let u be b\/(-7) + (-572)\/(-91). What is the highest common divisor of u and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13 + -12.83. Let u = w + 0.03. Suppose 0 = 2*d + d + 5*n - 5, -d - 5*n = -15. What is the closest to d in -4\/7, u, 0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-3*sqrt(192))\/sqrt(12) + 4*sqrt(1936))\/(6*(4*sqrt(8) + sqrt(8)) - sqrt(24)\/(sqrt(3)*-4)))**2.\nAnswer: 53792\/14641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -19273 + 19268. Let q(t) = -t**3 - 6*t**2 + 8*t. Let c be q(-7). Let o = -2 + c. Is o <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that 16*z**4 + 108*z**3\/7 - 684*z**2\/7 + 16*z\/7 + 48\/7 = 0.\nAnswer: -3, -1\/4, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = l**3 - l**2 - 2*l - 2. Let u(m) = -697*m**3 + m**2 + 2215*m + 6. Let a(i) = 3*s(i) + u(i). What is the second derivative of a(t) wrt t?\nAnswer: -4164*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 592 is divided by 316.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 152 = 2*z, 0 = 5*z - 0*m + 2*m - 359. List the prime factors of z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 154*w**3 - 3*w**2 + 3*w - 4. Let c(x) = -307*x**3 + 5*x**2 - 5*x + 7. What is 5*b(n) + 3*c(n)?\nAnswer: -151*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 422516127 + -3?\nAnswer: 422516124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h**3\/8 + 203931*h**2\/8 - 104829729*h\/8 - 105033663\/8 = 0. Calculate h.\nAnswer: -1, 519, 67459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -48 + 24. Suppose 0 = 42*j - 5595 + 51. Let x = j + c. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -12701, -25380, -38009, -50564, -63021, -75356, -87545?\n\"Answer: 4*j**3 + j**2 - 12710*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 40436950*k**2*n**3 - 2041*k + 14302*n**3 wrt k?\nAnswer: 80873900*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(52)\/(sqrt(2)*-2))\/(sqrt(144)\/sqrt(8) + sqrt(2))*4.\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0977328 to four dps.\nAnswer: 0.0977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 308 and 12364.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 2 + 2 = 0. Let f be 2 - ((-1 - l) + -1). Suppose 0 = -5*j + q + 47, -4*j - f*q = -15 - 15. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:58 AM and 6:06 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (3 - 16) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 296213040 by -6.\nAnswer: -49368840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 101976 and 2549400.\nAnswer: 2549400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b**5\/7 + 3032*b**4\/7 - 151308*b**3\/7 - 5156624*b**2\/7 + 224506304*b\/7 + 970075392\/7 = 0. What is b?\nAnswer: -803, -39, -4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -453, -1669, -3641, -6369, -9853?\n\"Answer: -378*a**2 - 82*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 2412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of -1365.4 and 0.3.\nAnswer: -409.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -63, -260, -569, -978, -1475, -2048?\nAnswer: -2685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**3 - 2 - 7*b**2 + 2 - 1 + b**2 - 6*b. Let s be t(-5). What is the greatest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 232141 is divided by 46423?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 54*w + 363. Let z be s(15). What is the highest common factor of 69 and z?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the first derivative of 38*p**4 + p**3\/3 + 7*p + 112. Find the third derivative of y(z) wrt z.\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4*2\/4*(-3)\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrraaaa. What is prob of picking 2 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the second derivative of w**5\/20 + 17*w**4\/12 - 2*w**3\/3 - 35*w**2\/2 + 7*w. Is 30 a factor of s(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.4 in -0.2, 0.3, 0, -6\/29?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4\/16 - 10\/8. Let r = 3 - 13\/4. Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1 - (0 + 0 - 5). Let c be i\/(-10)*5\/(-6). Which is bigger: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9 - -10. Let i(k) = 13*k**3 - 2*k**2 - 2*k + 2. Let u(c) = c**2 + c - 1. Let j(m) = o*i(m) + 3*u(m). Give j(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) be the first derivative of j**3 + 1 - 1\/4*j**4 - 3\/2*j**2 + j. Factor f(y).\nAnswer: -(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3097 + 9329. Suppose -c = -3*d - b, 8*d - 9*d - 6238 = -c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 + 1 - 2) + (49 + 32 - 80).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*v**2 + 148\/5*v**3 + 256 - 1344\/5*v - 4\/5*v**5 + 0*v**4 = 0.\nAnswer: -5, -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:33 AM and 3:25 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 25.1092ml?\nAnswer: 0.0251092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2.69 + -2.69. Which is the nearest to u? (a) 2\/7 (b) 0.5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(84) - (sqrt(84) + (sqrt(84) - (sqrt(84)*-1*5 - sqrt(84)))))\/(sqrt(432) + (sqrt(432) + (sqrt(432)*3 + sqrt(432) - sqrt(432)) - sqrt(432))).\nAnswer: -7*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**3 + 11*b**2 - 8*b - 10. Let z be h(9). Let k = -55 + z. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1586 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 5, 3\/5, 0, 1\/6, 0.4, 0.18 in ascending order.\nAnswer: -1, 0, 1\/6, 0.18, 0.4, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*p**3 + p**3 - p**3 + 2*p**3 + 0*p**3 + 0*p**3 + (0*p - 3*p + p)*(-3 + 3 - 2*p**2) - 2 + 2 + p**3)*(6*p - 3*p + 2*p).\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7488\/(-896))\/((-600)\/700).\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in 0.2, 2.4, 0, 4, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 122802 and 1746?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 86 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 768 = -18*n - 156. Solve 20*m = n*m + 48 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 130 + 7*q**3 + 199 + 0*q**3 - 329.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 31089 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 98 - 84. Let j = s + -14.00000012. What is j rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 + 5*l**2 - 2*l**2 - 5 + 2.\nAnswer: 3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**3 + 3*x**2 + 3*x + 7. Let s be k(4). Solve -s = -0*f - 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -1019*x**2 + 1133*x - 119. Determine o(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 76422 and 62742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 30315 - 12*o**2 - 4*o**3 + o**4 - 15160 - 15161 - 3*o + o to k*o**2 + a*o**4 + i*o + g + j*o**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does -6\/2545 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*p**2 - 7160*p + 7155.\nAnswer: 5*(p - 1431)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**3 + 109*m**2 - 338*m - 218. Give d(-112).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 10 = -n + 15, 47 = 3*n + 4*v. Suppose 0 = -2*o + 27 - n. Let y(u) = -2*u - 5. Let g be y(-5). Which is the nearest to 0.1? (a) -4 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -42*w - 265313 + 266489 = 0 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3\/13775 + 206424\/922925. Is h > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the second derivative of b**5\/20 - 2*b**4\/3 + 4*b**3\/3 - 2*b**2 + 5*b. Let r be a(7). Calculate the highest common divisor of 24 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - (-7 + -1 + 15) - -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -73, -153, -231, -307?\n\"Answer: o**2 - 83*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 54 + -32. Let a = l - 16. Let m = 5.9 - a. Are m and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 178513\/76154 + 6\/2929. Find the common denominator of b and -1 + 1 - (-1593)\/(-295).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 34 + 4 = 0. Let o(g) = g**2 + g - 18. Let h be o(-6). Solve -h*l + 7*l = y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*z**2 + 7*z**2 + z**2 + z**2 - 18*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 131 - 133. Let d = -3 + -3. Which is the nearest to d? (a) 1\/4 (b) 1\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22850066 is divided by 151?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 22*v**3 + 30*v**2 - 315*v - 630. Give f(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - -10) + -140 + 16 + 8 - (-6 + -4)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0012683 to 5 dps.\nAnswer: -0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of 12.38 and 872.\nAnswer: 10795.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**3 + 5*i**2 - 5*i - 7. Let m be q(-6). Let t = 4 + m. Let o = 21 + t. Calculate the lowest common multiple of 18 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v = 5*v - 55. What is the greatest common factor of 88 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 3, v: 1, x: 1, e: 3, o: 3}. What is prob of sequence oeov?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 45 - 46. Which is smaller: b or -4\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*h + 1516 + 1356 = 0. Is (-3)\/(-15) - (-3 + h\/5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -740 - -402. Let a = 340 + v. Factor -4\/5 - 8\/5*c + c**a.\nAnswer: (c - 2)*(5*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -267, -402, -543, -690, -843?\nAnswer: -1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 367548014.\nAnswer: 2, 183774007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -143 divided by -51.\nAnswer: 143\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 20*h + 48. Let w be q(-2). Factor -1548 + l + 1540 - 5*l + 0*l**3 + 4*l**3 + w*l**2.\nAnswer: 4*(l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i**(-1)*i))\/i)**(-13\/4)\/(i*(i\/i**(-2\/7))\/i)**(-17\/2) assuming i is positive.\nAnswer: i**(153\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 856 and 176764.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -2*g**2 - 29*g - 89. Let y be p(-9). Let h be ((y - 6) + -3)*-3. Let n be (-4 + 2)\/(2 + -1). Which is the nearest to -0.1? (a) 1 (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*f - 4*f**2 + 11*f**2 - 7*f - 3*f**2 + f**2 + f**2 + (-1 + 0 + 3)*(1 - 1 + f**2) + f**2 + f**2 + 0*f**2 to r + u*f + k*f**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -917634, -1835270, -2752906, -3670542, -4588178, -5505814?\n\"Answer: -917636*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 1428*d + 3812 = -1424*d, -z + 775 = 5*d. Calculate the lowest common multiple of 2 and z.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x - 2*x - 3*x)*(-10*x + 2*x**3 + 10*x) + x**4 + 4*x**4 - 4*x**4.\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**2 + 4*u - 3. Calculate m(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 35923 + -33933. What is the remainder when a is divided by 156?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 13509b703 + 0?\nAnswer: 13509b703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 645 and 610?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-256)\/(-1))\/(-14 + 16). Let z = 153 - n. Solve 5*u + z = 10*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is b in 3*b**4 + 33*b**3 + 117*b**2 + 135*b = 0?\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6.05 - -6. Let z = 2.95 - a. Let x = z - 3.00004. What is x rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 3*d - 7. Suppose -17 - 1 = -o. Let y = 21 - o. Suppose -l = 3*n - 4*l - 21, 0 = y*n - 5*l - 21. Give v(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nux when three letters picked without replacement from {x: 3, g: 4, p: 1, u: 5, n: 1}.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3.933 and -609.4?\nAnswer: 2396.7702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 587634877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 10:56 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.128 + 0.968. Let g = o + 3.16. Which is the nearest to 0.1? (a) g (b) 4\/29 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8 + -3 - 3) + 2 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-4)\/(-3))\/(224\/8016) - 14\/(-1). Find q, given that 2\/7*q**3 + 36\/7*q**2 + 216\/7*q + i = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.0163 * -6477.25.\nAnswer: 105.579175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**3 + 9*s**2 - s - 14. Let u be b(6). Let o = 361 - u. Suppose r = -6*r + o. Is 39 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6 + 22\/3)*57. What is the greatest common factor of r and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 318, 325, 328, 321, 298, 253, 180?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -507.5 - -507.4999998225. Round r to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 21888 and 26752?\nAnswer: 240768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 202*b + 6772*b + 797*b - 1860*b as g*b + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - 1864\/264)*(32 - 23).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes before 5:16 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1891)\/(-76 - -45) + -61.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the first derivative of -2*k**6 - 58*k**5\/5 - 27*k**4\/2 + 18*k**3 + 29*k**2 + 12*k + 1905. Suppose a(y) = 0. What is y?\nAnswer: -3, -2, -1\/2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 111 a factor of (-1)\/(-2)*((-15926400)\/(-714) + (-2)\/(-17))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 2*h + 31 = -147, -3*h + 69 = 2*t. Solve -8*v - t = -52 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z**4\/4 + 3575*z**3\/4 + 3565*z**2\/4 - 32175*z\/4 - 16083\/2 = 0. Calculate z.\nAnswer: -3574, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.2 + -1.7. Let o = 0 + r. Let q = o - -2. Which is the second smallest value? (a) -2\/7 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:07 AM and 3:06 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 758 - 753. Let x(m) be the second derivative of 1\/10*m**b + 0 + 1\/2*m**2 - 1\/6*m**3 - 1\/42*m**7 - 1\/6*m**4 + 3*m + 1\/30*m**6. Factor x(i).\nAnswer: -(i - 1)**3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 39861 and 49708?\nAnswer: 46079316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 1 - 14)*((6 + 5 - 8)*(2*v - 7 + 7) + (0 + 3*v + 0)*(4 + 3 - 5)).\nAnswer: -204*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2069 + 11938. What are the prime factors of b?\nAnswer: 71, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -4*k**3 - 1 + 6*k**3 + 2*k - k. Let c be 4*1*(8 + (-434)\/56). What is y(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:13 AM and 3:53 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1312*o + 693*o + 682*o.\nAnswer: 63*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c + 0*c + 0*c)*(-c**2 + 2 - 2)*(-c - 2*c + c).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 159930 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -4313366 minus 0.984?\nAnswer: -4313366.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 90396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 9:25 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1 times -15.5895\nAnswer: 15.5895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6*((-21)\/(-6))\/7. Suppose c*i + 7 + 2 = 0. What is the units digit of ((-2)\/i)\/(4\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16 + 19. Suppose -9 + 0 = -3*o. Suppose 78 = k + 2*k - 3*t, -4*k = o*t - 132. Calculate the greatest common divisor of g and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -64078*q**2 - 1166*q + 22695134 wrt q.\nAnswer: -128156*q - 1166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3 and 291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 30040401 (base 6) in base 13?\nAnswer: 2378a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n - 30. Let b(s) = -23*s + 4. Let x(d) = -2*d + 3. Let g(z) = b(z) - 11*x(z). Determine 2*g(f) - 3*p(f).\nAnswer: f + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2.7766195 rounded to one decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -1\/5 (b) -0.3 (c) -6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 15) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4 - 3\/(-6)*4. Suppose 35 = f*c - c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -48*s - 249. Let f be k(-43). Suppose 0 = -6*i - 27*i + f. What is the remainder when 325 is divided by i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 1096 = 4*d, 0 = 26*d - 28*d + f + 534. What is the remainder when d is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -46.835 + 47.9. Let p = 1.1 + -2.1. Let a = p + c. What is a rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.00321 > -104\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -13 + 60644?\nAnswer: 60631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 2\/7, 2\/3, -0.44?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 70017904?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 209*o - 191. Let k be d(8). Let h = k - 200. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00003475889 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 11 - (9 + 3) - (13 + -15 + 42)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-342)\/15*(-30)\/12. Let c be r\/2*(-10)\/(-15). What is the greatest common divisor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.07 + 0.27. Let y = -2392\/209 + 214\/19. What is the second biggest value in -2\/7, v, 4, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 59 + (29 + (-8 - (3 + -7)) - 17)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -11375*t - 5015 + 21553 = -324712 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 234 and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -459270.63 to the nearest 1000.\nAnswer: -459000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1 + 1510?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 + (-771)\/(-6) + 9\/(-6). Let t be ((-3)\/4)\/(x\/48). Sort t, 0.1, -6 in descending order.\nAnswer: 0.1, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -116 + 117. Is 3*l - (-48 - 248) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 38\/(-380)*2*-130?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 147 + -184 - (-72 - -37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 127\/5 - 124\/5. Which is the closest to -1\/4? (a) 0.2 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:22 AM and 6:26 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 10) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*f + 6*f - f + (-11 - 2 + 0)*(-3*f - 4*f + 5*f) + 3 + 2*f - 3.\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k**3 - 34220*k**2 + 58584625*k - 117032410 = 0. Calculate k.\nAnswer: 2, 3421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6*(-6 + (-166)\/(-28)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-1)\/(-21))\/(1\/123) + (2 - 7). Which is the nearest to 5? (a) k (b) 0.04 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 333.7 + -191. Round f to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (155\/(-75))\/1 + 1 + 1?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 489037.9 nanoseconds?\nAnswer: 0.4890379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5582 + 8289. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 516*t - 511*t - 35*t**2 + 100 + 30*t**2 = 0. Calculate t.\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15 - 15. Suppose 5*x - 2*p - 27 = 0, 4*x - 12 = -m*p + 4*p. Let g = -68 - -69. What is the least common multiple of x and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1024381 and 16397?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4 and 11116.\nAnswer: 11116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = 247 - 217. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -763 + 4621\/6. Calculate the common denominator of y and (-4 + 38\/4)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -8*(80\/1856)\/(-5)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.007548048 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*p + 13*o + 1 = 17*p, -18*p + 18*p = 5*o + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46 + (26 - (79 - 31)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/8 of a millimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 154 + 35 = 7*j. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -o - 1 = 0, 2*r + 8 + 1 = o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m + 3. What is g(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 6:00 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from oopnoonno.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -7d4 - -47a5?\nAnswer: 3fd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fnj when three letters picked without replacement from unuuvutjfnntnv?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9 - -61. Suppose 5*r + j = 10*r. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -3713, -3627, -3541, -3455, -3369?\n\"Answer: 86*u - 3799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51264538 is divided by 30406.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27772.\nAnswer: 2, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 15363 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 18*f**2. Let a(n) be the second derivative of -n**6\/360 - 17*n**4\/12 + 5*n. Let j(q) be the third derivative of a(q). Give u(j(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3\/7, -28, -5, -12, 2\/15, 79\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 24088826369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t**3 - 8*t**2 + t - 5. Let s be b(8). Suppose 5*r - 7*d + 3*d - 415 = 0, 0 = -s*r + d + 242. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = d - 5*b, -7829*b + 7830*b = 2*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve b - 279 + 3339 = -179*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 130233776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*u = w + 4*u + 25, -10*w - 6 = -2*u - 23 - 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19674979 to the nearest integer?\nAnswer: 4436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2462747*x**3 - 4*x + 9104155?\nAnswer: 7388241*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -24*v. Let w(q) be the third derivative of -q**4\/12 - 46*q**2. Give t(w(k)).\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2\/6 + -1)*(-429)\/(-22). What is the fourth smallest value in 0.2, 3, 0.3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -54 + 48. Let r be (-9)\/(-15) - (-1 - x)\/(-25). Factor -2\/5*f**3 - r*f**2 + 0 - 2\/5*f.\nAnswer: -2*f*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -38022*k**2*l**3 + 50358*k**2*l**2 + 3*k**2 - 29*k*l**4 - l wrt l?\nAnswer: -228132*k**2 - 696*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-34*m**3 + 41*m**3 - 1 + 85*m**3)*(134*m + 212*m - 106*m) to w*m + b*m**3 + s*m**2 + r*m**4 + c and give r.\nAnswer: 22080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -3*v**3 - v**2 + 10*v + 23. Let b(y) = y**3 - 3*y - 8. Let c(a) = -17*b(a) - 6*r(a). Let l be c(-7). Solve -2*x - x = -l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 114*d + 6517. Determine k(-58).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 63352532*l**5*u**2 - 4*l**2*u**2 - 8*l**2*u + l*u + 464*u**2 + 3*u - 2 wrt l?\nAnswer: 3801151920*l**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/4824 and 43\/65604.\nAnswer: 26372808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l - 13 = -j, 6 + 3 = 3*j - l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s + s - 21*s - 9*s. Let x(r) = -2*r. Determine x(y(l)).\nAnswer: 60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -25*g - 2. Let j be n(-2). Calculate the greatest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 716087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y**2 - 2*y**2 + y**2)*(2 - 6 + 3)*(23*y - 44*y - 12*y).\nAnswer: -99*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2222 - -104343?\nAnswer: 111005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 2*s + 23. Let t be b(-7). Let f be t + 0\/2 + -4. Suppose -5*d - 15 = 0, 1112939 = 4*p - f*d + 2872924. Round p to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2.4673 - 0.4327. Let i be (0 - 8\/30) + 0. Let o = i + -2\/5. Sort o, z, 1.\nAnswer: z, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jmmj when four letters picked without replacement from {m: 2, j: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rsi when three letters picked without replacement from {e: 1, s: 1, i: 1, r: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be 177\/(-1062) + (-13)\/(-6). Which is the smallest value? (a) -277 (b) 1\/4 (c) q (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express f**3 + 5 + f**4 - 2*f - f**3 - 301*f**2 + 300*f**2 in the form c*f**2 + u*f**3 + p*f**4 + r*f + m and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 2*w**2 - 18*w + 58. Let b be x(5). Suppose -b*t = 4*d - 17*t - 363, t + 267 = 3*d. What is the highest common divisor of d and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the third derivative of -k**10\/15120 + k**9\/22680 + k**8\/5040 - 5*k**4\/12 + 7*k**2. Let t(x) be the second derivative of y(x). Factor t(b).\nAnswer: -2*b**3*(b - 1)*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10 - (5 - (17 + -10 - -5))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j**5 - 20600*j - 24*j**3 - 32*j**4 + 32*j**2 + 41237*j - 20609*j = 0 for j.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**3 - 8*s**2 - 6*s - 6. Let r(j) = 7*j - 12. Let o be r(3). Let l be n(o). Which is smaller: l or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/(-54)*-8*(-3)\/120*8?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2\/(-4))\/(267\/20114)*3*1. What is the third smallest value in -2, -2\/23, y, 1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 + -2. Suppose 3*f - 15 = -5*n, 5*n + 22 - 7 = 0. Calculate the smallest common multiple of d and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor b**4 - 9*b**3 - 10*b**2.\nAnswer: b**2*(b - 10)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i + 2 - 2 = 0. Suppose -p = -i*p - 0*p. Is 2\/59 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.08 + -0.06. Let r = -0.02 + x. Which is bigger: r or -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3783 is divided by 714?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/5*(-12)\/(-24). Which is the biggest value? (a) 2\/7 (b) 45 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6.95 + 14.03. Let y = 6.78 - t. Let p be 1 - 4\/3 - 0. What is the third smallest value in p, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -588694201454719 and 0.2.\nAnswer: -588694201454718.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1222?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i - 2. Let d be g(-6). Let x be 4\/12 - d\/3. Is -1*(x + -2)*-6 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 3 = 4*n. Suppose -9 + 0 = -n*j. Let r = 6 + j. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -12*x + 16*x + 30*x as a + q*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2391 is divided by 133?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -3dc96 (base 15) to base 3\nAnswer: -101002102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 9 minutes after 8:48 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(1100)*4*-5*-5)**2.\nAnswer: 99000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -57, -34, -7, 24, 59?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23185 + -23191. Let d(g) = 18*g + 4. Let b(o) = 1. What is s*b(c) + d(c)?\nAnswer: 18*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the second derivative of b**7\/280 - b**4\/24 + b**3\/2 - 3*b. Let s(l) be the second derivative of x(l). Find the first derivative of s(c) wrt c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 2*k + 1. Let s be f(2). Solve 3*j + 7 = 5*o + 1, -j - 2 = -s*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1440, 4, 2\/13, 0, 3, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**3 + 40*h**2 - 376*h - 19636. Calculate r(-27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 83 + -84. Let p = -11 - -8. Sort p, t, -4 in ascending order.\nAnswer: -4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) -124 (c) -0.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/2*(-28)\/21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ykzkzzzzky. Give prob of sequence kky.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1\/((0 - 16\/1112)\/(-282))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 1682054.451 nanoseconds?\nAnswer: 0.0000000027811746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 9 = 3. Which is the second smallest value? (a) 0.12 (b) u (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -u**3 + 16*u**2 - 17*u + 37. Let t be p(15). Calculate the highest common divisor of 301 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 661217, -3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -8.7465075 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 2786*w - 50107. Calculate r(18).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1423, 2846, 4279, 5728, 7199?\n\"Answer: x**3 - x**2 + 1419*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1528309, -1528327, -1528345, -1528363, -1528381?\nAnswer: -1528399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3055271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 72 - 35. What is the remainder when y is divided by -9*(-12)\/(-162)*162\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -32.1 or 4652?\nAnswer: -32.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -148 or -128?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 5*y + 83. Let l be c(-21). Which is smaller: -23 or l?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/1569 and 11\/12?\nAnswer: 6276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(147) + 2*(sqrt(147) - 3*sqrt(147)) + -4 + (sqrt(147) - (sqrt(147) + 1)))**2.\nAnswer: 210*sqrt(3) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -105, -411, -913, -1605, -2481?\n\"Answer: v**3 - 104*v**2 - v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1228, -5894, -10560, -15226, -19892?\n\"Answer: -4666*c + 3438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = y**3 - 5*y**2 - y - 1. Let z be u(6). Suppose 2*c - 2*n + 12 = 0, 0*c + 4*n = 3*c + 22. Let w = z + c. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -5954790 divided by 930\nAnswer: -6403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 167.636868 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1934*a**4 - 4045*a**3 + 2*a + 80076400?\nAnswer: -23208*a**2 - 24270*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = -4*z, 0*z - 19 = s - 3*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -626 - -901. What is the greatest common divisor of 100 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3895424.\nAnswer: 2, 13, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8045*w**2 - 1 - 7998*w**2 + 1 + 16049*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -23, 5, 1, -248 in ascending order.\nAnswer: -248, -23, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 + 7)*(t**2 + 0 + 0).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 14 + 3*d**2 + 0*d**3 - 4*d**2 - 16*d**4 + 23 - 2*d**3 wrt d?\nAnswer: -384*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the second derivative of -k**4\/12 + 4*k**3\/3 - 3*k**2 - 4971*k. Suppose -2*i + 3*g = 3, 0*g + 29 = 4*i + g. Give t(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**2 + 2*z + 8. List the prime factors of s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the second derivative of -17*l**3\/3 - l. Let h(z) be the second derivative of -z**4\/6 - 1288*z. What is q(h(u))?\nAnswer: 68*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 + 11. Calculate the remainder when (f\/(-5))\/((-2)\/10) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -82*j - 87*j - 119 + 171*j + 119.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or 15\/1455311?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the second derivative of 10*o**4 + 0*o**2 + 2*o**3 - 63\/20*o**5 + 0 - 11*o. Factor r(x).\nAnswer: -3*x*(x - 2)*(21*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 91 = -149. Let k be 19\/2 - z\/(-32). Solve 0 = -3*u + k + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -4*d + 3. Let k be z(0). Let r be k\/((-12)\/20) - -8. Solve -g + r*x = 8, 0 = 6*x - x - 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 87 + -80. Suppose -h + 77 = 14*m. Suppose p - 25 = -5*x + 3*x, -4*x + m*p = -85. What is the smallest common multiple of x and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -29.77 + 29.47. Which is the second smallest value? (a) 0 (b) u (c) 3 (d) -103 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + 462815?\nAnswer: 462821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 3183, 4, -5\/4, 0.5 in ascending order.\nAnswer: -5\/4, 0.5, 4, 3183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(85)\/sqrt(5) + 4 - sqrt(17)) + 4*sqrt(68) + (sqrt(68) + 3)**2 + -2)*1 + 3.\nAnswer: 82 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 = y - 2034*q + 2039*q, q = -4*y - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/((-9)\/140824) + -2. Let c = t - 15695. Let a = c + 149\/3. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 768b1 (base 12) to base 16\nAnswer: 26485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -15*w + 201. Suppose 466 = l + 456. Let i be b(l). What is the highest common divisor of 119 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2100 (base 4) in base 9?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1036 + 1794. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2035 - 463. Calculate the least common multiple of 8 and t.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/228588 and -145\/258.\nAnswer: 228588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that -2*l**3 + 342*l**2 + 348*l - 688 = 0.\nAnswer: -2, 1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7 + -3. Suppose 3*y = y + 2*r - 4, 0 = -y - r + k. Let g(w) = -2*w + 4*w - 4*w. Calculate g(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 204763.\nAnswer: 13, 19, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -215, -214, -205, -182, -139?\n\"Answer: l**3 - 2*l**2 - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5290 - 31?\nAnswer: 5259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 12.49 - 5.49. Put 2\/3, -2\/11, 0, h in ascending order.\nAnswer: -2\/11, 0, 2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) -0.1 (b) 93 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-8)*(-828)\/(-2277).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*u**3 - 5155*u**2 + 94005*u - 424845.\nAnswer: -5*(u - 9)**2*(u + 1049)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 9 = -3*q + 18, -3*l - 23 = -2*q. Suppose -5*u = -q*u - 4. Solve -n - 3*z = -7 - u, 4*z - 12 = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 71+-12\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/72 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 3*d. Let l(a) be the second derivative of -5*a**3\/6 - 65*a. Calculate l(q(z)).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a - 2. Let p(t) = 4*t - 9. Suppose -2*y + 8 = 2*y. Let v(x) = y*p(x) - 9*o(x). What is v(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*c + 3, 15*x - 22*x - 3*c - 92 = -2*x for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 10779761749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the first derivative of -u**4\/4 - 13*u**3\/3 + 9*u + 1. Let m be q(-13). Solve -3*n + m = 4*y, 4*y - 4 = 2*y - 2*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/3*90\/120?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 78554 is divided by 565.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 405 and 23850?\nAnswer: 214650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is c in -4*c**2 - 43328*c - 117332224 = 0?\nAnswer: -5416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -107 = -5*s + 3*i, -4*i + 8*i + 62 = 3*s. Let z be (-4)\/143 + 1\/s*4. What is the fourth biggest value in -2\/23, 1\/5, -1\/6, z?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 981 = -p - 2*p, 4*p - 2*f = -1322. Let a = 655 + p. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 276747 and 10179?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) 0 (c) 1\/3 (d) 8742 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -4*z - 5. Let i = 1.4 + -1.3. Let g be (-2)\/(-21) + 4\/7. What is the third smallest value in g, z, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d + 3*o - 8605, 2*d + 2*d + 2*o = 8610. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*p - 24 = 7*p. What is the remainder when p\/15*-6*-10 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 15*k - 6. Let n(h) = h + 1. Let z(v) = l(v) + 2*n(v). Is z(5) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 7, e: 5, b: 4}. What is prob of picking 3 s?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 272 - 65?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -10 * 165.48.\nAnswer: -1654.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 9325599353969 + 4\nAnswer: 9325599353973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*d - 2*d + 3*d)*(1 - 32*d + 22*d + 9*d)*(d + 0 + 0).\nAnswer: 2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 1\/54 (b) 1\/6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the first derivative of 9*a**4\/4 - 2*a - 4. Differentiate g(c) with respect to c.\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 435 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate c**2*d*z**2 + 2*c**2*d - 1255*c**2*z**2 - 105*d*z wrt d.\nAnswer: c**2*z**2 + 2*c**2 - 105*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 133 = a + 18, -3*a - 307 = -4*t for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 174 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3c + -24c09?\nAnswer: -24bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6455952?\nAnswer: 2, 3, 107, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -0.8 (b) -1\/2 (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -332 + 340. Suppose -15*p + j*p = -42. Suppose 4*s = -4 + 8. Solve h + p = s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (10\/6 - 2)\/((-52)\/1017276) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j - g - 8 = 0, 8*j - 22 = 3*j - g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 660 and 51810.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -62\/3 and -105\/2252588?\nAnswer: 6757764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*x + 2*x**4 - 45*x**3 + 82*x**3 - 41*x**3 to w*x**4 + v + i*x**3 + s*x**2 + p*x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 1 = 119. Let l(k) = -r + 24 + k + 17. Let s be l(3). Calculate the highest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 506416.2 weeks?\nAnswer: 306280517760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddjidjdjkdjddjjdid. What is prob of sequence di?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Subtract -20.55527 from -0.036.\nAnswer: 20.51927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -316 - -317. Solve -5*d - h = -6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*t + 4 = -56. Suppose t*y - 32*d - 25 = -29*d, y - d = 7. Solve 0*k - 28\/11*k**y + 0 + 0*k**2 + 6\/11*k**5 + 16\/11*k**3 = 0 for k.\nAnswer: 0, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 3*z. Suppose 0 = 4*v - w - 11, v + 3*w + 2 = -5. Suppose v + 8 = 2*u + 2*j, -5*j = -4*u + 2. Let s(n) = 1 - u*n - 1. Calculate x(s(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2444443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 37*u - 218. Let s(q) = -12*q + 70. What is 2*b(i) + 7*s(i)?\nAnswer: -10*i + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*i**2 - i**2 - 3*i**2)*(-4 + 0 + 2) - 19*i**2 - 210 + 210 + (0 - 1 + 0)*(4*i - 4*i + i**2).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + 10 + -3 + 2 - (5 + 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 97635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 + 12. Suppose 0 = -a*p - 2*y - 3 + 1, -2*p + 4 = 2*y. Let g be -2*2800000 - (p + 2). Round g to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16701366883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 136504.17ns to hours.\nAnswer: 0.000000037917825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*t - 48*t - 10*t**3 + 8*t**3.\nAnswer: -2*t**3 - 44*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 - 6. Which is the nearest to 1? (a) q (b) 0 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 232 - -103442?\nAnswer: 104224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -21 (b) -4 (c) 5 (d) -3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j + 254 = -10. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2.7 - -2.9. Which is the biggest value? (a) 32 (b) x (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11001011010001000111 (base 2) to base 7.\nAnswer: -10035233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.0544 + -3.0544. Put -5\/3, -0.2, -16, 5, r in increasing order.\nAnswer: -16, r, -5\/3, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - a - 16820 - 12776 = 0, 0 = -4*a - 20. Let x = -45002 + n. Is (-3)\/(-6) + x\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (p**4 - 2*p + 2*p)*(-2 + 2 - 1) - 3091*p**3 + 805*p**4 + 3091*p**3 - 3*p**2 + 31 - 3*p**4 - 31.\nAnswer: 801*p**4 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 9*z**3 + 13*z**2 - 7*z - 6. Let y(p) = 4*p**3 + 6*p**2 - 3*p - 3. Let c(r) = 3*g(r) - 7*y(r). Let q be c(-2). Is q less than 3\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8717666240 to the power of 1\/3, to the nearest integer?\nAnswer: 2058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 - (6 - -6)) + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 290 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5\/2*2 - (-2958)\/(-612). Which is the nearest to t? (a) 1\/3 (b) -5 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 equal to 17552\/737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 - 11. What is the biggest value in 1\/5, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -49 + 72. Let z(o) = -o**2 + 5*o - 2. Let s be z(4). Suppose -f + 57 = s*f. Solve 0 = -5*v + 4*v + 4*g + f, 5*g = 2*v - y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**3 - 10*q**2 - 4*q - 36. Let w be u(-10). Solve 0 = -n + 1, 2*c + 0*c - 2*n = -w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from ruqcqyjc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6\/15 - 24\/10. Let p be 0*(5 + -4) + 2. Let u(l) = -27*l**p + 2*l + 48*l**2 - 15*l**2. Determine u(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*((sqrt(68) + sqrt(68) + sqrt(68) + -1*(sqrt(68) + 1) - sqrt(68)) + sqrt(68)))**2 + (4*sqrt(153)*1)\/(2*sqrt(9)*-4) + 3.\nAnswer: -17*sqrt(17)\/2 + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -372 = -38*l - 220. Let v(p) = -1504*p**2 - 141. Let y(r) = 43*r**2 + 4. Calculate l*v(o) + 141*y(o).\nAnswer: 47*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b + 4*n + 2 = 2*b, -3*b - 6 = 2*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 4*a - 72 = 0. Let l be 1\/4 - (-33)\/a. Solve -11 = 5*n + l*j - 1, 5*n - 15 = 2*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -7*p**2. Let y(r) = -5*r. Let k(z) = 273*z + 270*z - 575*z. Let t(w) = -6*k(w) + 39*y(w). What is l(t(c))?\nAnswer: -63*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 202023453 (base 6) to base 10.\nAnswer: 3455961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 482, 949, 1430, 1931, 2458, 3017, 3614, 4255?\n\"Answer: r**3 + r**2 + 457*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.97 - -0.03. Let h = i - 0. Let k = h - 1.996. Round k to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 2e39 (base 15) to base 4\nAnswer: 2123202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -74*w - 1444*w - 73*w**4 - 2*w**2 - w**3 - 973*w + 2*w**2 wrt w?\nAnswer: -876*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**(-7\/5))\/(f\/(f\/(f**(-1)*f)))*(f**1*f)\/(((f\/((f\/(f**(-4)\/f))\/f))\/f)\/f))\/((f\/(f*f**(-1\/3))*f)**(-10))**(4\/7) assuming f is positive.\nAnswer: f**(1892\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2441 - 56?\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**2 - 10*r - 18. Let n be i(-6). Find the third derivative of -74*f**6 - 72*f**6 + 31*f**2 + 150*f**n wrt f.\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1218*k + k**3 + k**3 + 293*k)*(-2 + 0 + 1).\nAnswer: -2*k**3 + 925*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes after 1:12 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kelekeekkeeeellel. What is prob of sequence ll?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.6 and -6.14581.\nAnswer: -6.74581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -579*a = 412*a - 18*a - 1946 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -41*t**4 - 23*t**2 + 2.\nAnswer: -984*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14245945 is divided by 417.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 14824*m + 56 = 14832*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence non when three letters picked without replacement from ronfrrrnknnbnnbnkrbb.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the first derivative of -8*b**5\/5 + 5*b**3\/3 - 12. What is the third derivative of k(y) wrt y?\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24570 = -20*j - 15*j - 7*j. What is the highest common divisor of j and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -2*h**3 - 103*h**2 - 52*h - 49. Calculate the smallest common multiple of t(-51) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 199\/114870 and 86\/11487.\nAnswer: 114870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -15*g. Let w(p) be the second derivative of -11*p**4\/4 - 5*p - 12. Determine w(x(a)).\nAnswer: -7425*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.7844 - 328.7844. Which is the fourth biggest value? (a) 3 (b) m (c) 0.2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 3*o**2 + 43*o + 142. Let z be u(-5). Let l(h) = -h - 1. Let j(f) = 3*f - 13. Let d(a) = -2*a + 7. Let b(y) = 11*d(y) + 6*j(y). Give z*l(v) - b(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6*h**3*k**2*t + h**3 + 16*h**2*k**3*t + 378*h*k**3 wrt t.\nAnswer: -6*h**3*k**2 + 16*h**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 2 y when three letters picked without replacement from pppppppyyppypppppy?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 281 divide 611856304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 412 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-3))**(-9\/4)*(q**40)**(-27))**35 assuming q is positive.\nAnswer: q**(-150255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-72)\/10)\/((-16)\/(-200)). Let r = 173\/2 + c. Which is greater: -5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/8 or -233.42735?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = -74 - -140. Let f = 70 - j. Suppose -g - 2*g = f*o - 18, 0 = -4*o + 3*g + 6. Solve -4*x - 20 = 0, -u = 2*u - o*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 3, k: 1, d: 1}. Give prob of sequence mkdm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be 142\/10 + 3\/(-15). Let k = 20 - t. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 9995\/(264\/176 - (-1)\/(-1 + -1)). Is 9994 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 349 divided by -42.\nAnswer: -349\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2673 and 9702?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*x**4 - x**3 - 10*x**4 + 14*x**4 - 2*x**2 to the form s*x**2 + r*x + a*x**4 + j*x**3 + k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzzadjzzdjzzzzzj. What is prob of sequence zz?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 716.347 to the nearest 10.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 508288618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = -148515 + 148508.20104. Let r = w - -6.8. What is r rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 15510 - -0.3\nAnswer: 15510.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -662*i**5\/9 + 4246*i**4\/9 + 5638*i**3\/9 - 42734*i**2\/9 - 49760*i\/9 + 27400\/9 = 0. What is i?\nAnswer: -2, 137\/331, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 454896150 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvmvvmvmvvvmvymvv. What is prob of sequence vvy?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) -11\/42 (c) 290\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p - 2*r - 9, 5*p + 2*r - 16 = 3*p. Suppose 0 = -p*w + 36 - 6. What is the units digit of 52\/8 - (-3)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/21 in 1\/3, 6, -1\/12, -0.4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the second derivative of d**6\/15 - 3*d**5\/5 + 13*d**4\/6 - 4*d**3 + 4*d**2 + 8*d. Factor u(b).\nAnswer: 2*(b - 2)**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 13*b - 7. Let d = 32 + -28. List the prime factors of h(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9959?\nAnswer: 23, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1168804 + 1168802.8999948. Let q = 1 - -0.1. Let c = f + q. What is c rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -3*b**2 + 3. Let s be k(4). Let u be 1*2*s\/(-6). Suppose u*x - 20*x + 240 = 0. What is the highest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 96 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -20088 divided by 2232\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 149102772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*3*4*(-4 + (sqrt(153) - sqrt(153)*-1*-6 - sqrt(153))\/((sqrt(144)\/sqrt(4))\/sqrt(4))) + 1)**2.\nAnswer: 111168*sqrt(17) + 1447297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(60)\/sqrt(4) - sqrt(240)*1)\/((sqrt(3) + sqrt(12))*-5 - (sqrt(3) + 2*((sqrt(3) - sqrt(3)*3) + sqrt(3)))).\nAnswer: 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -158357, -316879, -475401?\n\"Answer: -158522*s + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/3, 0.4, 5, -3\/4, 2\/17?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (933*n + 1472*n + 165*n)*(-1 + 1 + 2*n) - 3*n**2 - n**2 + n**2 in the form i*n**2 + l*n + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -17, 3, 0, 2041, 2, 1, -29 in decreasing order.\nAnswer: 2041, 3, 2, 1, 0, -17, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cckeccfe. What is prob of picking 1 c and 2 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fhfhffhhffhh. Give prob of picking 3 f.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 2 = -4*d. Suppose 4*a - 18 + d = 0. Suppose 2*q = 5*n + 271, -q - a*q + n = -666. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the first derivative of -l**10\/5040 + l**6\/24 + 38*l**3\/3 + 2. Let x(t) be the third derivative of w(t). Find the third derivative of x(j) wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 331*g - 458. Let r(y) = 329*y - 450. Let b(h) = -7*j(h) + 6*r(h). Differentiate b(s) with respect to s.\nAnswer: -343","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + x = 6*x + 25, 0 = h - 3*x - 7. Let l = 9 + h. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3010559 - -4510559. Round i to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-12)\/((b*(b*b**(-1\/17)*b)\/b)\/b)*((b*b\/b**(2\/15))\/b)**(-30) assuming b is positive.\nAnswer: b**(-662\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 17*a + 27. Let c be f(-7). What is the tens digit of (c\/(-6))\/((-8)\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -11001010110000 (base 2) to base 8\nAnswer: -31260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -4464, -8783, -12932, -16911, -20720, -24359?\n\"Answer: 85*r**2 - 4574*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2401) - -2*sqrt(2401))\/(sqrt(1008)*2) - -6*(1*sqrt(175) - sqrt(175))**2*3.\nAnswer: 7*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.1 (b) -1\/12 (c) 12 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -12 by 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least 4.306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 29*m - 6*m + 1 - 9*m - 11*m. Determine r(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1887 and 444?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3435? (a) -0.2 (b) -0.3 (c) -0.405 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t**3 - 20*t**2 - 66*t + 14. Let n be d(-3). Put 35, n, 4, 9 in decreasing order.\nAnswer: 35, 9, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/(-24) - 1\/3. Let g = 118 + -118.5. Let t be ((-48)\/84 - 145\/(-315))*-3. Sort g, t, n in ascending order.\nAnswer: g, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -279 + 3071\/11. Let c = 0.1 + 2.9. What is the smallest value in -2, c, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -253389, -253395, -253401, -253407, -253413, -253419?\nAnswer: -253425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**3 - 19*i**2 + 19*i + 1. Calculate the remainder when 82 is divided by b(-20).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-6)\/1)\/6)\/(2\/(-3)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*b = 22*b + 9. Let f be (b + 8\/6)\/(7\/6). Let f*q - 1\/7 - 1\/7*q**2 = 0. Calculate q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the second derivative of -f**7\/21 - 38*f**6\/15 + 9*f**5\/2 + 115*f**4\/3 - 164*f**3\/3 - 312*f**2 - 3445*f. Suppose z(q) = 0. What is q?\nAnswer: -39, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8015145 to the power of 1\/2, to the nearest integer?\nAnswer: 2831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 35*s**2 + 2*s + 2. Is c(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 3*i = -2*c + 10, 2*c - 2*i = 4. Suppose c = -u + 3*u. Let b = -4 + 6. Solve 3*s - b*s + k + 1 = u, -3*s - 7 = 4*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 78338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = a + 1749, -818 = -2*n - 4*a + 2638. Is 54 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 5*s**2 + 8*s - 712. Let q(p) = -30*p**2 - 53*p + 4273. Give 13*h(b) + 2*q(b).\nAnswer: 5*b**2 - 2*b - 710","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m*m\/m**30*m\/(m*m*m*m\/m**(1\/36)*m))**(2\/3))**(-2\/13))**(-2\/67) assuming m is positive.\nAnswer: m**(-2302\/23517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2387 - 1617. Let p be 33*(1 + ((-2)\/3)\/(-10 - -9)). What is the highest common factor of y and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -79711 - -132088. What are the prime factors of m?\nAnswer: 3, 13, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(5\/4)*c**3*c**2*c*c*c*c*((c**(-5)*c)\/c)\/c)**6 assuming c is positive.\nAnswer: c**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x = 3*x + 176. Let j be (-2)\/(-11) + 36\/x - 0. Let l be (-3)\/(-2)*16\/(-108). What is the nearest to j in -1\/5, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3834 and 187794.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1\/2, -81193, -2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the second derivative of -7*k**6\/50 - 3*k**5\/20 + 4*k**4\/5 - 2*k**3\/5 + k + 128. What is d in c(d) = 0?\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 + 2 - 16)*(-f - 2*f + 5*f) - 2*f + 1 - 1.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 6 - ((3 - 3) + -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**3\/s)**(-1)*s\/(s**(-8)*s)*s**(-13) assuming s is positive.\nAnswer: s**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -128.56 - 2.44. Let s = u + 136. Which is the second biggest value? (a) 1\/3 (b) s (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 846611369 to the nearest integer?\nAnswer: 29097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a\/(a**(-6)*a)*a*a*a**(-2\/5))\/(a**(-2\/29)*a*a*a*a\/a**3*a*a))**(-24) assuming a is positive.\nAnswer: a**(-19728\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 5) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -16805053 - -16805059.999951. Let u = 0.8 + 6.2. Let g = u - b. What is g rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -7214833.\nAnswer: -1\/7214833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 32\/5 of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2502705 plus -8.5?\nAnswer: -2502713.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 4*v**2. Let o(l) be the third derivative of l**5\/30 - 3*l**2. Calculate o(k(p)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:40 PM and 3:32 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -62\/4719 and 56\/15?\nAnswer: 23595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 4\/9 - (-2380)\/(-6732)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwsnmnnswcwnnucnw. Give prob of picking 1 s, 1 n, 1 u, and 1 m.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -122068.7 or -2\/7?\nAnswer: -122068.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 1597 + -3.5\nAnswer: 1593.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z be -7 + 2 + 8 + -5. Put z, -25, -3, -1 in descending order.\nAnswer: -1, z, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the third derivative of -t**5\/15 - 7*t**4\/12 + 2*t**2. Let y(z) be the first derivative of -z**3\/3 - 3*z**2\/2 - 1968. What is 3*f(a) - 14*y(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 2) + 3 - (0 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -5857 (base 13) to base 2.\nAnswer: -11000001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 667137.\nAnswer: 3, 222379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21558805.\nAnswer: 5, 17, 253633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 613.3633 litres to millilitres.\nAnswer: 613363.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1 - -25795.6284\nAnswer: 25794.6284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -3.69 times -120\nAnswer: 442.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 244177920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the third derivative of 19*p**6\/120 + 61*p**5\/60 + 12*p**2 + p. What is the third derivative of i(f) wrt f?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 543791\/48 - 11328. Let m = y + -21\/16. Let t = 162\/469 + -4\/67. Which is the nearest to t? (a) 0.5 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate d**3*w + 9*d**3 + 256*d*w + 73 wrt w.\nAnswer: d**3 + 256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 + -5. Suppose -2*h + 3*h = t. Suppose h*o + 8 = 4*o. Solve z = -o*z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*m = -74*m + 7*m - 402 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 264310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + 6 = 2*j, 4*j - 2*c - 36 = -42 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4 or -30438\/10937?\nAnswer: -30438\/10937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (-6*w + 0*w + 3*w)*(-5607*w + 4184*w + 2502*w) in the form f*w**2 + b + z*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(1539) + 2*sqrt(1539))**2 + sqrt(1539).\nAnswer: -83106 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (81 + -80)\/(-1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 394 and 69935.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 2*r = -3, 3*w + 2*r = -r. Let n be (4\/(-6))\/(w\/3). Let l be 8\/12*(n - -1). Solve 2*m + l*k - 18 = 0, -k + 7 = -5*m + 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that j**2 - 17784*j - 177940 = 0.\nAnswer: -10, 17794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/8 and -103\/348.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -15*m**4 + 65*m**3 - 80*m**2 + 20*m.\nAnswer: -5*m*(m - 2)**2*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(152)*2*-4 - (sqrt(152)*-2 + sqrt(152) - sqrt(152) - sqrt(152))*-6)\/((sqrt(8) - (sqrt(8)*-1 + sqrt(8))*-5 - sqrt(8)) + sqrt(64)\/sqrt(32))*1.\nAnswer: -52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dx when two letters picked without replacement from fvfffxexxeffdfvffex?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2250 + 3767. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n**3 + 4102*n**2 = 0. What is n?\nAnswer: 0, 2051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -33227.379 to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6643832.\nAnswer: 2, 13, 193, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 11511 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1, 149, 0.4, -5970, -5.\nAnswer: -5970, -5, -1, 0.4, 1, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2572152430 + 2572152045.9999831. Let g = q + 384. What is g rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q**2\/13 + 54902*q\/13 - 1097240\/13 = 0.\nAnswer: 20, 27431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*v + 5*v - 6*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 75228800 a multiple of 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*-417363.\nAnswer: -1669452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 3*q - 3*q + 213 - 2*q - 217. Let k be y(-3). Suppose 0 = 3*z - 5*c - 2, z = c + k. Solve -3*f = -2 - z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 60 = 2*n. Let v be 70\/20*2 - -1167. Suppose -v + 334 = -42*b. Do n and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 - -6.15\nAnswer: -1.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000473436 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:21 AM and 4:48 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*r = -12*r + 3. Solve -3*o = 2*l + 2, 1 = 2*l - r*l + 3*o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1288100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 25795661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -o - u = -4*o - 10, -o + 4*u + 15 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/3 - -4*(-70)\/(-120). Suppose 0 = -2*b + 4*g + 1132, 0*g + n*g = 2*b - 1136. List the prime factors of b.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52824 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(272)*4)\/sqrt(8))\/(4*sqrt(8)\/sqrt(4)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.1769426 to four decimal places.\nAnswer: 0.1769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -22301233 - -3?\nAnswer: -22301230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**3 - 67*g**2 + 162*g - 980. What is the hundreds digit of l(-70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*v**2 + 4878*v - 94.\nAnswer: -4*v + 4878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.02, -5, -9.446 in decreasing order.\nAnswer: -0.02, -5, -9.446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 36769000 to the nearest one hundred thousand.\nAnswer: 36800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17 + 10 + 8 + 16*v)*(3*v**3 + 3*v**3 - 4*v**3 + (2*v**2 - 4*v**2 + 4*v**2)*(0*v + 2*v - 4*v)).\nAnswer: -32*v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -121539 (base 10) in base 16?\nAnswer: -1dac3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 12\/11 or 1?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 171484, 7, -2\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -618, -616, -614?\n\"Answer: 2*s - 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50816 is divided by 475?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -94 + 377\/4. Factor -x*c**2 + 1\/4*c + 1\/2.\nAnswer: -(c - 2)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 + 20223403?\nAnswer: 20223401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -820*y + 3. Let n(l) = -2*l. What is h(n(d))?\nAnswer: 1640*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.384937 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = 5*a - 96. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8775 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is c - 1c?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = -101\/495 + 1\/45. Is a at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -18*p**2 + 2*p**2 - p**3 + 14*p + 2 + 4*p**2 + 7*p**2. What is i(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes after 9:49 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2112 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 3, t: 4, c: 2, k: 6, y: 2, q: 1}. Give prob of picking 2 s.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 3*h**2 - 63*h - 458. Let s be k(-6). Let l(b) = 13*b**3 - b**2 - 2*b + 2. Let f be l(2). What is the greatest common divisor of s and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -62*q**3 + 62*q**3 + 11*q**2 - 33*q**2 - 56*q**5 wrt q?\nAnswer: -3360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**3 - 8*h**2 - 10*h - 15. Calculate s(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 1 k when three letters picked without replacement from {f: 2, e: 2, g: 6, k: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 2*t = -6. Suppose -5 + 1 = -2*x - n, -5*n + 10 = 0. Which is the closest to x? (a) -3 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 295898*n - 295894*n = -4*s + 32, -43 = s - 16*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 44 + -44. Suppose 4*p + 2*z - 116 = 0, 0*p - p - 5*z + 47 = u. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -779765 - -990301487\/1270. What is the common denominator of q and 6\/1397?\nAnswer: 13970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 30 and 1815.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 10*h**2 + 18*h + 26. Let m be g(-7). Let f be (1\/(-2))\/(8 + m\/(-48)). Let o = 11 + -11. What is the nearest to o in -0.3, f, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-280)\/(-12)*(5 + (-215)\/10). Let u = -133 - m. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d - 3. Let r be s(-4). Let n be (-9)\/(-78)*-10 + r. Which is the second smallest value? (a) n (b) -0.1 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 52323\/61019 + -3\/8717. Factor -2\/7*m**3 + 2\/7*m + 4\/7 + 2\/7*m**4 - h*m**2.\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than 3\/1346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 9 = -1. Let k(p) = -11*p - 1. Let u be k(-1). Suppose 4*i = -z*h + 45, 4*h = u + 10. Solve -15 = -i*g + 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 3*g**2 + 483*g - 1335. What is d(-159)?\nAnswer: -2289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the third derivative of 0 + 0*p - 1\/24*p**4 + 0*p**3 - 3*p**2 + 1\/60*p**5. Find the second derivative of j(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -320820 + 320820 + 8702*r**3 - 8703*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 5 - 80 = 0. Let m = 33 - r. Calculate the smallest common multiple of 6 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c = -4*u - 17, -4*c - 22 - 8 = -5*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - (0 + 1)) + -44 - (40 - (32 + 21)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be 9\/(-3) + (-1)\/(-24)*74. What is the nearest to 2 in w, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mttmtktmyk. Give prob of picking 2 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -10*z + 48 + 62 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of j**2 - 3*j**2 + 694*j**3 - 7*j - 293*j**3 - 313*j**3 wrt j.\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 356 and 8?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is c in -13*c**5\/5 - 38*c**4 + 244*c**3\/5 + 12454*c**2\/5 + 7461*c - 3240 = 0?\nAnswer: -9, -5, 5\/13, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-2\/13))**(-41)\/((y**(-7\/3)*y)\/((y\/(y*y*y*y**(-18)))\/y)) assuming y is positive.\nAnswer: y**(883\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 68 - 53 - -113 - 45.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l*l**(-1\/3)*l)**(33\/2)\/(l**(-2)*l*((l*l*(l**(2\/19)\/l)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(891\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -32*y**4 + 17*y**4 + 18*y**4 + (3*y - y - y)*(2*y - 2*y**3 - 2*y) - 5*y**3 + 5*y**3 + 4*y**4 + (-y**2 - y**4 + y**2)*(-5 - 12 + 4).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**3 + 10*u**2 - 21*u + 21. Calculate l(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 282 is divided by 123?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 29345 by 1.\nAnswer: 29345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -114 (base 5) to base 8\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*t - 746642 - 127919 - 80609 = 0. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 + s - 2 + 1 - 1 + s + (0 + 1 + 0)*(0*s - s - s) + 1 - s - 1 + 3*s - 5*s + s - 54*s + 138*s + 56*s.\nAnswer: 138*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2\/41, 117, -36, 0.3?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/30 and 23\/52.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-1\/3))**(-12)\/((w*w\/(w\/w**7))\/(w\/(w\/(w\/(w**5\/w)*w))*w*w)))\/(w**(2\/13)*w\/w**(-2\/19)*((w\/(w**(2\/7)\/w*w))\/w)**17) assuming w is positive.\nAnswer: w**(-695\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 + 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 4*(1 + sqrt(832))**2 + sqrt(1573)*1 + (sqrt(104) - 1*sqrt(104))\/sqrt(8).\nAnswer: 75*sqrt(13) + 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2672489328?\nAnswer: 2, 3, 6299, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 358546185 divided by 23903079.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 7 + (-1 - -1) + 2 + -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 234*i - 500*i = -244*i + 176 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -5, 4, 5, 100 in descending order.\nAnswer: 100, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*g + 32*g - 104. Solve 0 + 12 = -g*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the third derivative of n**5\/60 + n**4\/24 - n**3\/6 - 1201*n**2 - 2*n. Let a(s) = -11*s**2 - 4*s + 4. Calculate -5*a(i) - 20*x(i).\nAnswer: 35*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*x = 191 - 344 + 252 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 a and 1 n when four letters picked without replacement from anaaaxaanxanxxaa?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2352 and 2744?\nAnswer: 16464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ghcg when four letters picked without replacement from {c: 1, g: 5, h: 14}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from tparptpbtppttawtw.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuuuuuuhuuhuuhu. What is prob of sequence uhhu?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.0367999us to minutes.\nAnswer: 0.000000033946665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 5507, 11010, 16513, 22016, 27519, 33022?\n\"Answer: 5503*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 206085749?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 39312 divided by 21\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(1\/37)\/m)\/(m*m\/(m*m*m**(-7\/9))*m))\/(m**(-6\/7)*m**(2\/85)) assuming m is positive.\nAnswer: m**(-379852\/198135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0049178213 to 4 dps.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/9 in -0.2, 0.03, 0.12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 4*u - 5*x + x, -5 = -5*x. Solve 2*j - 1 - 4 = -u*o, -4*o + 20 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(2\/7)\/r**(-2))\/(r**(-2)*((r\/(r*r**(-5)))\/r)\/r) assuming r is positive.\nAnswer: r**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/(-18) - -3*(-2817)\/(-243). Solve -6*g - g = a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (2 - (3 - (0 + 5)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -721\/1430 - -3\/715. What is the closest to 1 in 0.3, r, -2\/21, -4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 2*y**2. Suppose -4*r = 4*z + 8, -6 - 6 = 2*r + 4*z. Let u(m) = r*m + 0*m + 2*m - 6*m. What is u(h(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 183 + -38 + -73 - 157.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 262808960 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * -2624565\nAnswer: -787369.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 713 is divided by 47?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -54615 (base 9) in base 3?\nAnswer: -1211200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from bwbtwt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -2734*d**2 + 1295*d**2 + 1445*d**2. Let f(m) = 779*m + 3. Give f(g(i)).\nAnswer: 4674*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (329029\/(-3775) - -88)*(-60)\/(-14).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -24, -20, -28, -54, -104, -184, -300?\n\"Answer: -f**3 + 11*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -153.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -581 times -29\nAnswer: 16849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand -2856*s + 5710*s - 2855*s - 3221 - s - 3 + 3 + (4 - 4 + 2)*(0 - s + 0) + 4*s - 4*s + s.\nAnswer: -3*s - 3221","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -200.8 + 201.7. What is the nearest to p in -5, 0.3, -2\/7, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (v**2 - v**2 - 2*v**3)*(5 + 0 - 4) - 6*v**3 + 2*v**3 + 3*v**3 - v**2 + 2 - 7*v**3 + 6*v**3 - 5*v**3 - 7*v as j + a*v + t*v**3 + o*v**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -6*x + 8. Let w be x\/(-2) + 8 - -1. Let f = 0 + w. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1380486, -2760976, -4141466?\n\"Answer: -1380490*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -372 divided by 93?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5016311 + -4.\nAnswer: -3.4983689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = -667 - -5148. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-18*s - 1566 + 1566)*(-2*s**2 + 4*s**2 - s**2).\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.12988 plus 19.9324?\nAnswer: 20.06228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10816 - 2*h + 10816 - 15*h**2 + 2*h.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 3, -742, 5, -14, -6.\nAnswer: -742, -14, -6, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 3*l = 6 - 23, 0 = -l + 1. Let a(v) = v**2 + v - 5. Let f be a(y). Let s be f + 0 + 3 + -4. Let c(r) = -r - 1. Calculate c(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**2 + 526676*w.\nAnswer: 2*w*(w + 263338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 21 by -440.\nAnswer: -21\/440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 88 + -44?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + 9 - (0 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is (-2)\/(3\/(-1) + (9 - 7475104\/1245848)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h - 3*s - 5 = 0, 4*s - 8 = h - 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r - 1. Let h(j) = 2*j**2 + 3*j + 8. Let v(p) = h(p) + 3*l(p). Let u(k) = -k**2 - 1. Calculate -4*u(m) - v(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-4\/5)*j*j**(-7\/4))\/((j\/(j*(j\/(j**(-6)\/j))\/j*j))\/(j**9\/j*j)))**(-3\/37) assuming j is positive.\nAnswer: j**(-927\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 15 = j, -5 = -83*j + 82*j - w. Sort -42, j, 4 in decreasing order.\nAnswer: 4, j, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.016398274563 to 7 dps.\nAnswer: -0.0163983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((sqrt(168) - (sqrt(168)*-1*-5 - sqrt(168)))\/sqrt(8))\/((sqrt(231)\/(sqrt(7) + sqrt(7) + sqrt(28)) + sqrt(33))\/sqrt(11))*1.\nAnswer: 72*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 1160 = -4590. Round f to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -35, -115, -255, -461, -739, -1095, -1535?\nAnswer: -2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-15)\/((-75)\/10)*5\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -28 + 25. Let n be 2 + (0\/s)\/3. Solve 0 = -n*v + v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 101\/152 and ((-851)\/207)\/(48\/(-9) - 1).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 830038*l - 8984*l**2 - 830038*l.\nAnswer: -8984*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2021? (a) 18.7 (b) -4\/7 (c) 1 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.3 and -1165791542201.\nAnswer: -1165791542200.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5 + 1. Let q be a*6*(-3 - -2). What is the common denominator of 45\/16 and 217\/(-35)*10\/q?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 6104.259 and -2028.53.\nAnswer: 4075.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*q**2*x**3 - q**2 + 21*q*x + 6*q + 5720*x**4 - 2*x**3 + x**2 wrt x.\nAnswer: 12*q**2 + 137280*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.01 - -1.99. Let a = -1.9 + l. Let q = 0.0998 - a. Round q to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*n**5 - 72865*n**4 - 251600*n**3 + 10395020*n**2 + 64888000*n + 24277760 = 0. Calculate n.\nAnswer: -8, -2\/5, 13, 2918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -9*(-2)\/(-36)*12\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 5*n - n - 9 + 33. Calculate the remainder when v(-3) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 153\/60 - 60\/75\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -7, -0.19, -1\/2, -4, -15?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 403068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 3*y**3 - 58*y**2 - 152*y + 3000. Determine t(19).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 42480 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3, -0.3, -3876, 0.1?\nAnswer: -3876","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j + 5*f - 31, 7*f - 49 = 4*j + 2*f. Let r(i) = 8*i + 5*i**2 - 5*i**2 - 7*i**2 + 5. Let g(k) = 0 - 2 + 9*k + 8 - 8*k**2. Give j*g(m) + 7*r(m).\nAnswer: -m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 7683749657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7826\/(-3640))\/(4\/(-80)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 1346 = 65*l - 894. Solve -4*c = 5*s - 31, l*s - 3 = 30*s + 3*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**2 + 4*k + 2. Let l be -2 - (-11 + 12\/4)*1. Calculate q(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 34 + -18. Let r = 0.113 - 3.113. Which is the second smallest value? (a) 4 (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7352 divide 1712067764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*f = -23*f + 78. Suppose 0 = -4*n + 5*i + f + 41, 5*n + 3*i = 56. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -122*0.6.\nAnswer: -73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -236, -2017, -6872, -16337, -31948, -55241?\nAnswer: -87752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes before 6:53 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 2*f**2. Let h(i) = -i**2 - 10*i - 84. Let p(v) = -2*v**2 - 14*v - 125. Let q(c) = 7*h(c) - 5*p(c). Determine q(k(b)).\nAnswer: 12*b**4 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 305*b**3 - 628*b**3 + 326*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ga when two letters picked without replacement from wggggwgwagwwwgwwg?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minutes before 6:04 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -7*r + 4. Let a(k) = -8*k + 5. Suppose s - 36 = -4*s + 4*c, 2*s + c = 4. Give s*a(u) - 5*y(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1154, -0.3, 0, 5, -11.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the first derivative of -v**3\/6 - 17*v**2\/2 + 16*v + 12. Let d(g) be the first derivative of t(g). Let o be d(-19). Solve o = -3*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2001 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2*(2 - 22\/4). Let g be 1*(-2 - (y - 0)). Suppose 0*k - g = -5*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**2 - 7*u + 3. Let p be f(7). Let x(t) be the first derivative of -t**4\/4 + 2*t**3\/3 + t**2 - t - 5. What is x(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes before 1:14 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 21, 16, 13, 12, 13, 16, 21?\n\"Answer: u**2 - 8*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -87*y. Let p be 14\/35*(-20)\/(-8)*7. Let x(h) = 14*h - 4*h + h - 7*h - p*h. What is x(d(v))?\nAnswer: 261*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2004?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 295.7559 years to months.\nAnswer: 3549.0708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) 1\/6 (b) 1 (c) 9 (d) 1\/4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - 12*c + 576. What is the lowest common multiple of 4 and c?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -28876 + -0.1468473579\nAnswer: -28876.1468473579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 19104.53ug to kilograms.\nAnswer: 0.00001910453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 = -3*h - 2*f + 45, 2*h + 5*f - 28 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 17638 and 17.\nAnswer: 299846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20744?\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be (66\/(-4))\/(2\/(-4)). Let c = p + -20. Calculate the remainder when c is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22862*o + 0*o**2 + o**2 + o**2 - 22862*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1256, 1259, 1262?\n\"Answer: 3*r + 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, -90, 0.4, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -147563\/49606 - -6\/1459. Calculate the common denominator of o and 73\/9.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12877053 = -15*p - 786903. Suppose -w + 5*f = -p, -2 = -2*f + 3*f. Round w to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -683*h + 5478. What is q(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 598 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k\/(((k**(-5)*k)\/k)\/k)*k)\/(k**(-16)*k) assuming k is positive.\nAnswer: k**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 115 in 4, -274, -4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**3 - y**2 + y. Let b(d) = -15*d**3 - 4*d**2 + 4*d - 30. Let o(r) = -b(r) + 4*h(r). Differentiate o(j) wrt j.\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.2, 0.3, -25, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the second derivative of c**5\/60 + 55*c**4\/36 + 87*c**3\/2 + 243*c**2\/2 + 179*c. Let b(a) = 0. What is a?\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (22*q**2 + 73 - 73)*(-2*q**2 - 6*q**2 - 2*q**2) + (4*q**3 + 4*q**3 - 3*q**3)*(0*q - 4*q + 3*q) + q**4 + 3*q**4 - 2*q**4.\nAnswer: -223*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**3 + 3*v**2 - 1. Let s be d(2). Solve -p + 23 = -s*j + 5, 0 = 5*p - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-88652)\/2331 - 46 - (-6)\/189?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16*d**3*k**2*q - d**3*k*q + 3*d**3 + d**2*k**2*q + d**2*k + 2*d*k**2*q + 2*d*k*q wrt k.\nAnswer: -32*d**3*q + 2*d**2*q + 4*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (32 - (20 - -5)) + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -134388 divided by -14932\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 317b2 (base 15) to base 2\nAnswer: 100110010101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 120 + 952. Let r = h + -1512. Find the common denominator of ((-99)\/r)\/((-6)\/(-296)) and -115\/78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 + 1)\/1 - 836\/(-456)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (2 + (-48)\/20)*15\/6*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10\/9)\/((((-30008)\/930)\/121)\/(3\/(-10))).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**2 - r + 4. Let h = 2 - -2. Suppose -h*p = -0*q - 5*q + 40, 3*q - p = 17. What are the prime factors of l(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the first derivative of 7\/2*k**2 - 1 - k - 1\/3*k**3. Suppose 0 = -2*u - 4, -2*g - 5*u + 25 = 3*g. Determine c(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3621 + -3238. What is the closest to -0.1 in 0, f, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 8*i**3 + 12*i + 24*i + i**2 - 8*i**3 - 6*i**3 + 3*i**3 in the form t*i + p*i**3 + x + u*i**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1261 and 163423.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Total of 24 and -499.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 33 + -17. Let w(m) = -5*m - 7. Let b be w(-2). Solve z + b*z = j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 773412.\nAnswer: 2, 3, 64451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 20 + -24. Which is the third biggest value? (a) p (b) -1\/5 (c) 0.4 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -70459439*o**4 - 69306926*o**2 wrt o.\nAnswer: -1691026536*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*70\/60*-3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1493650?\nAnswer: 2, 5, 29873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 543713791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the first derivative of -5*c**4\/16 + 13*c**3\/12 - c**2\/2 - c - 1. Factor y(q).\nAnswer: -(q - 2)*(q - 1)*(5*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -194302, -388604, -582906, -777208?\nAnswer: -971510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 5086165587.2 and 72?\nAnswer: 5086165515.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d + 5*s + 25 + 14 = 0, -2*d + 221*s - 31 = 226*s for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 2*h + 11. Let n be f(-5). Let y(i) be the first derivative of 3*i**4 + i**2 - i - 1. List the prime factors of y(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10 - -5) + (-23 - -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*h + 43*h + 11*h)*(-1037*h**2 - 60*h + 24*h + 36*h).\nAnswer: -49776*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -5.413 * -49062\nAnswer: 265572.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -66.7 - -64. Let n = -0.123625 - -0.223625. What is the third biggest value in 4, r, n, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w + 1. Let f be z(3). Let l = f + 2. Suppose -2*k + l = -2. Solve 2*o + 0 + 7 = -5*s, 0 = k*s - 4*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = o + k - 1910, -o - 3*k + 642 = 0. What is the remainder when o is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1060108 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1224509*b**3 - 2*b**2 - b - 4288754?\nAnswer: -3673527*b**2 - 4*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 219 + 2.62885.\nAnswer: 221.62885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxu when three letters picked without replacement from xuuuxuuxux?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -225*n + 230*n - 2610 = 0. Suppose 0 = -9*d + 81 + n. List the prime factors of d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 25920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 13160 and 1200?\nAnswer: 394800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-13))**3 assuming j is positive.\nAnswer: j**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 15 - 15 - (-1 - (0 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 2235\/71132?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes before 1:18 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -21 - (20 + 15 + -13 + 2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 PM and 7:18 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 144, 187, 230, 273, 316?\n\"Answer: 43*r + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2510 - 5330 = -196*v for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 531 is divided by 138?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*q + 614 = 859 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**3 - 10*q**2 - 9*q + 3. Let g be y(-9). Suppose 2*c + c = -3*k - 18, k - g*c - 14 = 0. Sort -5, k, -2 in ascending order.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -60666, -242698, -546096, -970860, -1516990, -2184486?\n\"Answer: -60683*n**2 + 17*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*d = -27241 + 27906 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*p - 5*p + 120 = 0. What is the fourth biggest value in 0.7, -2\/3, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 140985?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n\/(n\/(((n\/(n**(-1)*n))\/n)\/n)))**(1\/18)\/(n**1)**21)\/((n**(-1\/5)*n*n\/n**1)\/(n\/((n\/(n**(-3\/5)*n))\/n*n)*n\/(n**(-4)\/n))) assuming n is positive.\nAnswer: n**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 169.6 and 0.81?\nAnswer: 137.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 108367530.\nAnswer: 2, 3, 5, 227, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 876.4 + -876.3. What is the closest to -4\/17 in w, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 15 + 1*(1 + -1). Suppose i*y = 10*y + 25. Let a(t) = t**2 - 4*t - 4. Let q be a(y). Solve q = -w - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -3*g + 13. Let f be h(6). Which is smaller: f or -13\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -184404 >= -1106419\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 360 or 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 74951 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k and 1 e when four letters picked without replacement from kkekkekekekkkkkkkk.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*k + 102*k**2 - 4*k - 85*k**2 + 1 to the form c + x*k**2 + v*k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - 16) + 5 + (7 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5529342034 rounded to the nearest one hundred thousand?\nAnswer: 5529300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 49 - 47. Suppose -i*k + 3*l = -32, -l + 18 + 8 = 3*k. Is (208\/k)\/(6\/45) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-35)\/21*3 + 11. Suppose -114 = 3*k - f*k - 2*w, 3*w = -9. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (h - 3 + 3)*(-3 + 1 + 1) - 2*h + 0 + 0 + (-5*h + h + 2*h)*(2 + 1 - 1) - 5373 + 5373 + 25*h + 0*h + 2*h - h as d + r*h and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1949)\/(-2) + 1 + 39\/78. What are the prime factors of (-1)\/(-4)*4 + v?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 44404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -35172, -35194, -35300, -35538, -35956?\nAnswer: -36602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 2*j**2 + 32*j + 53. Give q(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 351384035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 8*f - 4*f = 21, 0 = 3*c - 3*f - 18. Suppose 0 = 5*n - i - 3008, -2*n + 3*i + 1208 = c*i. What are the prime factors of n?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-336)\/(-252)*(3\/(-9) - (-10844)\/24). Calculate the greatest common factor of l and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4590491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5316?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.04 - 4.86. Let q = 14 + -9. Let k = z + q. Which is the second smallest value? (a) 2 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = 4*x - 45, 0 = -x + 5*q - 2*q + 9. Let t(d) = 4*d - 18. Does 6 divide t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is ece1c - -3?\nAnswer: ece1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3671704 is divided by 5565.\nAnswer: 4369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 take away -24322742?\nAnswer: 24322741.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 510 in 16, 4, -1.3, 2\/3, 2\/19?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4412 - 4382. What is the lowest common multiple of 636 and x?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 5\/75*-3 - (-408)\/15. Calculate the highest common divisor of 243 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1831*g*q**3 - 180*g*q + 343465*g - 1 wrt q.\nAnswer: -5493*g*q**2 - 180*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*t + 12 = -12*t. Solve 0*i = 2*y + t*i + 23, 0 = y + 4*i + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**2 + 2*x. Let h(f) = 9*f**2 - 24*f + 55. Let i(a) = -5*c(a) + h(a). What is the units digit of i(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4\/10841 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0017397 rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*y**2 - 3*y**2 + 11*y**2 + 6*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -463*d - 554778 + 554778.\nAnswer: -463*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 107 divide 440029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 2*x**2 - 2664*x - 228932. What is o(-81)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 33*d + 259 + 335 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the first derivative of v**6\/54 + v**5\/9 + v**4\/6 - 2*v**3\/27 - 7*v**2\/18 - v\/3 - 66. Factor a(w).\nAnswer: (w - 1)*(w + 1)**3*(w + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**3 - 6*g**2 + 22*g - 2028. Let p be u(-16). Determine f so that -114*f - 64\/5*f**2 - p - 2\/5*f**3 = 0.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31327057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 229 divide 100026055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 4*w - 10. Let v be r(8). Calculate the highest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 100 and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 2, k: 4, u: 5, b: 1, y: 4}. What is prob of picking 1 z, 2 k, and 1 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 158 divide 1689336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Convert -34 (base 9) to base 8.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.05 + -0.030892.\nAnswer: -0.080892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/3 of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/10)\/(7\/(-280)*-8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (-4*-2*sqrt(44) - (sqrt(1331) - (0 + sqrt(1331)) - (sqrt(1331) + -1)**2)) + -4)*-1.\nAnswer: -1323 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (72\/(-15))\/(9 - 6717194\/746350)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2840*d + 5686*d - 1426 - 2830*d - 226.\nAnswer: 16*d - 1652","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*j + 47*j + 61*j.\nAnswer: 98*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = -p + 4*n + 222, -n - 3 = 0. Suppose -363 = -36*k + 141. What is the highest common divisor of p and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1051949\/60 - -17530. Find the common denominator of 169\/1260 and f.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**2 + 9*i - 7. Let k be g(2). Let y be 21\/k + (0 - -2). Solve -y*f - 12 = 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3\/2, 75\/11, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1807 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 4 = 0, 4*m - 3*w - 65 + 57 = 0. Solve -4*c + 2*q = 2, -2*q + 17 = m*c + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -7*r. Let d = 296 - 303. Let f(k) = 14*k. Give d*q(l) - 4*f(l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 5*u - 218, -5*u + 4*x + 98 = -3*u. Let o(t) = -83*t + 42*t - 4 + u*t. Let p(j) = 2*j - 5 - j + 4. What is -o(r) + 4*p(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(7\/2)\/t)**(4\/5)*t**(-14)*t*t\/t**(-26)*t assuming t is positive.\nAnswer: t**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -11 + 689?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (1*sqrt(12)\/sqrt(4) + sqrt(48)*3 - 2*sqrt(30)\/(sqrt(100)\/sqrt(90) + sqrt(10))) + -2)**2.\nAnswer: 1587\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in -34\/11, -1\/3, 12\/59?\nAnswer: 12\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o**2\/17 - 12989120*o\/17 + 764066 = 0 for o.\nAnswer: -6494561, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 1:07 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5446 - 5445.96209. What is s rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 2\/13, 1\/10.\nAnswer: 1\/10, 2\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12.89 + -13. Let i = c - -0.1100048. What is i rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 3*r + 49 = 397, 5*r = 3*k - 232. What is the third derivative of -24*n**4 + 45*n**4 - 54*n**2 - 20*n**4 - k*n**2 + 40*n**5 wrt n?\nAnswer: 2400*n**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(1\/3))**(2\/49))**(-45)\/((a**(2\/7))**(3\/2)\/(a**1)**(-30)) assuming a is positive.\nAnswer: a**(-1521\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1*12\/(-14))\/(-2). Let a be (4 + -3)\/(3\/(6\/(-2))). Sort -7, n, 2, a in decreasing order.\nAnswer: 2, n, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 2326, 4654, 6982?\n\"Answer: 2328*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-62)\/(-14) - (-160)\/280.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*g - 15*g - 24 = -5*v, 40 = 5*v + 5*g. Suppose 0 = -3*t + 4 - 16. Which is the third smallest value? (a) t (b) v (c) 2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 69.46123m to centimeters.\nAnswer: 6946.123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*r**3*x**2 - 2*r**3 - 25041*r**2*x - 2*r*x**3 + 37*r*x**2 - 2*x**3 wrt x?\nAnswer: 8*r**3 - 12*r*x + 74*r - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 17*t**2 - 67*t - 1. Calculate d(5).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*n**5 + 6914*n**3*s - 6*n**2*s**2 - 453454*n*s**2 wrt n?\nAnswer: 60*n**3 + 41484*n*s - 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 22 less than 168?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1335863 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -90 - -268\/3. Which is the second biggest value? (a) o (b) -0.02 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -15440644 - -5?\nAnswer: -15440636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7886 - 7886.007914. What is z rounded to four dps?\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41 and (5\/45)\/((-3)\/(-78)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrrrrerer. Give prob of sequence eer.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 60549070.73 to the nearest one million.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((-13 + 4)\/18)\/((-2)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 5593, 10107, 22339, 46147, 85389, 143923, 225607?\n\"Answer: 643*s**3 + s**2 + 10*s + 4939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*w**3 - 11076*w**2 + 14816*w - 4944 = 0.\nAnswer: -309, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aym when three letters picked without replacement from mmyymamaamyamammmmy?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7\/5 in 2\/285, -1\/6, 8\/9, -6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 742 is divided by 77?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 3*o - 3. Let q(j) = j - 1. Let l(b) = 6*p(b) - 17*q(b). Let i(x) = -9*x + 6. Suppose -4*t + 2*d = -2*t - 12, 0 = -5*d. Give t*l(s) + i(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - 1670628308?\nAnswer: -1670628303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-1\/3)*r*r**(2\/5)*(r\/r**(1\/5))\/(r\/r**(1\/3)))\/(r**3*(r*r**(-3\/7)\/r)\/r*r**0*r\/(r**(-1\/3)\/r*r)) assuming r is positive.\nAnswer: r**(-74\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + m + 12 = -2*s, -4*m - 22 = 3*s. Let p(t) = 18*t**2 + 2*t - 4. What is the units digit of p(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 166621719 and 95933717?\nAnswer: 3165812661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1044971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 - 102?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (826\/7 + 9)\/(-2) + (5 + -11)\/12.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1046 divided by -13\nAnswer: -1046\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/2? (a) 37 (b) 4 (c) -6\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -17719 to the nearest one hundred.\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3187208861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -2*b**3 + 33*b**2 - 14*b - 35. Let s be r(16). Let a be ((-48)\/s)\/8 - 7. Sort -116, a, 5.\nAnswer: -116, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the third derivative of w**7\/2520 - w**6\/1080 - w**3\/6 + 5*w**2. Let m(j) be the first derivative of q(j). Suppose m(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1060 + -82. Let g = 6415 + v. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -107*c**3 - 22*c + 2?\nAnswer: -642*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b**3 - 8*b**2 - 8*b - 4. Let d be g(-7). Let z(r) = -2*r**2 + 4*r - 2. Let u(f) = f**2 + f - 1. Let c(v) = d*u(v) - z(v). Give c(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -595.8 + 542. Let m = u - -21.8. Which is smaller: 0.4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7472.5 or 27?\nAnswer: -7472.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5\/(20\/(-8)) + 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*k + 2*k + 0*k)*(39 - 41 - 19 - 15*k) in the form j*k**2 + l + d*k and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 92753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 7*r + 7*r - 6*r)*(-6*r**2 + 2*r**2 + 13*r**2) + 2*r**3 - 2*r**3 + 3*r**3.\nAnswer: -51*r**3 - 27*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1170?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 940 - 940. Factor 0 + 1\/4*w + z*w**3 - 1\/2*w**4 + 1\/2*w**2 - 1\/4*w**5.\nAnswer: -w*(w - 1)*(w + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*u**5 - 2*u**4 + 18*u**3 + 18*u**2 = 0. What is u?\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**2 + 3124*j + 66486.\nAnswer: -2*(j - 1583)*(j + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than or equal to 1\/8336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 0.280572 times 595\nAnswer: 166.94034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15 + 17. Let l(m) = 3*m - b - 11*m + 7*m. Calculate l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -357 - -363. Put 5, b, -2 in ascending order.\nAnswer: -2, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from ttggtqtttgpqgtppptg.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = -369 + 404. Calculate the highest common factor of v and 770.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -119 - -362. Let l = k - 134. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4220 + 211515?\nAnswer: 220135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -953341\/674 or -1414?\nAnswer: -953341\/674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 411*c**4 + 2018*c**2 wrt c.\nAnswer: 9864*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2145807905?\nAnswer: 5, 10589, 40529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 174083 is divided by 489.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 559*a**3 - 1173*a**3 + 553*a**3 - 3*a to the form k*a + f*a**2 + w + i*a**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 8*x**2 - 72*x. Let n(k) = -k + 2. Let q(z) = 3*z - 10. Let g(p) = 5*n(p) + q(p). Calculate g(i(f)).\nAnswer: -16*f**2 + 144*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 + -3625522?\nAnswer: -3625523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20 - 5 - (18 + -11) - 18 - 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 19676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 10*w + 2648 = 6*w, 4*o - 2648 = -4*w. Suppose -2*z = c - 219 + 52, 4*c + 5*z - o = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r. Suppose 3*n - 3 = 0, -3*s + 2*n = -n - 1524. Suppose -3*o + 4*q + 302 = 0, -3*q - s = -5*o - 2*q. Let k = 101 - o. What is t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 11) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 277*l - 165. What are the prime factors of h(6)?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 13, -28, -117, -278, -535, -912, -1433, -2122?\n\"Answer: -4*x**3 - 13*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 - -2.95. Let w = v + -6.85. What is w rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5921 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be 20\/12*-3 + 10. Suppose 23 = r*l + 3*v, 2*v + 6 + 0 = 2*l. Let k = 1729\/6 + -289. Which is the second biggest value? (a) 6 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 5*w = -2*o - 2, -o = -2*w - 2. Let h(c) = -8*c**3 + c + 1. Let t(n) = -n + 5. Let m be t(6). What is the smallest common multiple of o and h(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 - 6*a**2 - 14*a + 89. Let r be l(6). Let o(g) = g**3 - g**2 - 3*g - 4. Let v be o(3). Is r < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2334, -2152, -1848, -1422, -874?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 592 minutes after 12:36 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 139 + -a2465?\nAnswer: -a2327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -3*r**3 - 2*r**2 + r + 2. Suppose 2*y + 4 + 0 = 0. Let a be k(y). Calculate the greatest common divisor of 80 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -20 - -28. Suppose -2*b + 14 = -796*w + 791*w, 3*b - 21 = w. Put w, 1, g in descending order.\nAnswer: g, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 11 = 132. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3620243, -3620191, -3620139?\nAnswer: -3620087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 5*x = -63205005, -2*x = 21*f - 26*f - 63204998. Round f to the nearest 100000.\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((-5 - 5 + 3)*(3*u + 0*u - 2*u) - 5205 + 5205 - 565*u)*(4 - 1 - 1)*(-u**2 + 0*u**2 + 0*u**2) as x*u + w + r*u**3 + f*u**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1247 in 2\/27, 1, -7\/6, 0.3?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 107890075?\nAnswer: 5, 17, 19, 31, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -17794, -15, 4, 106 in increasing order.\nAnswer: -17794, -15, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 208264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 2 + 4. Let f be (2 - -1)*(0 - 5 - -6). Let y(c) = 6*c**f + 0*c**3 - 2*c**2 - 2 - 5*c**3. Calculate y(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -9856, -3, -369 in decreasing order.\nAnswer: -3, -369, -9856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the second derivative of -g**4\/4 - 81*g. Let k(d) be the first derivative of 4*d**3\/3 + 1. Give z(k(u)).\nAnswer: -48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 103\/3054 and -93\/298?\nAnswer: 455046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 489239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -224 - -322. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*a + 35 = -4*a + 63 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1280 - 470. Let z = -110 + r. What is z rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 100 - 85. Let l = 51 - 50. Let d be 0\/(1*(3 - l)). Solve 4*t - x = -13, -3*t + x - 2*x - h = d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 3*o = -679, -2*d + 3*d - 2*o = 357. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.67 + 0.8. Let t = 0.63 - l. What is the nearest to -1 in -2, 2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = -3*y - 15, -4*y - 2*c + 8 - 2 = 0. Solve y = 2*w - 6*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**2 + 5*y. Let q(z) = -79*z - 24. Let j(h) = 92*h + 28. Let p(m) = -6*j(m) - 7*q(m). Determine 2*a(i) - 9*p(i).\nAnswer: 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that 4*h**2\/5 - 66148*h\/5 - 1258256\/5 = 0.\nAnswer: -19, 16556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-28)\/(-6))\/((-2)\/(-3)). Suppose 4*t - k = -31. Let q = -2 - t. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (0 - -3) + (-2 - 79). Let b = 87 + l. Suppose -b*s = 19 - 793. What are the prime factors of s?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*d**2 - 28*d - 135 + 42 + 45 + 48.\nAnswer: 3*d**2 - 28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20031 is divided by 6670.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -377 + 380. Solve -i - 5*g = 6, -5*i + 5*g = -a - 27 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*c - 2*c + 3*c)*(-2*c**2 - 31 + 2*c**3 + 32 + 7*c**2).\nAnswer: -4*c**4 - 10*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -125\/168 and 117\/280?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = 418 - 414.86. Let f = b - -1.86. What is the third biggest value in 4\/3, f, -2\/11, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 847221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the third derivative of -v**6\/4 + 53*v**5\/60 - 59*v**2. Find the third derivative of y(o) wrt o.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 144558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((w*w\/(w**(-13)\/w))\/w)\/w**4)\/(w**(-1))**(-3\/17))**(5\/4) assuming w is positive.\nAnswer: w**(230\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -7*f. Let v(b) be the third derivative of -36*b**5\/5 + 3486*b**2. Calculate p(v(z)).\nAnswer: 3024*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**2 - 3*t - 2. Let b be z(4). Suppose 6 = -0*f + b*f. Let y(w) = w**2 - 2*w + 2. Let m(r) = -3 + 1 + 3*r - 2*r**2 - 1. Calculate f*y(h) + 2*m(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h**2 - 9*h + 5. Let s be z(9). Suppose -5*w - s*c - 3350010 = 0, 2*w + 3*c + 1151592 + 188414 = 0. What is w rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98 minutes after 6:26 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 27 = 2*u, 2*m - 6*m = -4*u + 60. Let o = u - 8. What is the least common multiple of (-26 - 2)\/(1 + -3) and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - -35) + 233 + -293 + (-10 - -1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 196 and 3724?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1180\/35 + (-12)\/(-42) is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 104 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 549 times -2\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1339 - 817. Let a = -422 + m. What is the greatest common factor of a and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 91325128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Subtract 345.7 from 10876.\nAnswer: 10530.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 48405 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01942 to four decimal places.\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 28b (base 15) to base 2\nAnswer: 1001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10584458 is divided by 705629.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -224*x**4 - 485*x**3 - 2*x**2 + 3*x + 88431 wrt x.\nAnswer: -2688*x**2 - 2910*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -52*d + 60*d = 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.260518ml in litres?\nAnswer: 0.000260518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z + 5. Let v be n(7). Let p = 320.9 + -117.5. Let s = -203 + p. Which is the closest to 6? (a) -0.6 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-22 + 43 - -1) + -16 - -40.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1946 divided by -107937.\nAnswer: -1946\/107937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 29.92767 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -103\/30 and -71\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1929*p**3*u**4 + 90*p**3*u**2 + p**3 wrt u.\nAnswer: 46296*p**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2148*m**4 - 9*m**3 - 26041*m**2 wrt m?\nAnswer: -51552*m - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -36 - -16. Let w = a + 25. Suppose -3*s - 2*s = -10. Put s, 4, w in increasing order.\nAnswer: s, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) 2 (c) 7 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -894 - -596. Let t = 95 + i. Let j = 184.2 + t. Round j to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 4*p = 20, o = -3*o - 5*p + 20. Suppose 0 = -s + o*t + 145, -4*s + 3*t = 6*t - 465. What is the highest common factor of s and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 692\/377 or 1?\nAnswer: 692\/377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -14641265*g*i**3*o**2 + 76*g*i**3*o + 198*g*i**3 + 9*g*o wrt o.\nAnswer: -29282530*g*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 171\/2969 or 0?\nAnswer: 171\/2969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 + 9. Suppose 0*z = 5*z - r. Let b(f) = -3*f + 1. Give b(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -13054 - -13278. What is the highest common divisor of l and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -15 + ((-39 - -29) + -26 - 6).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-102)\/(-34))\/(27\/(-315)*(-41 + 1))?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.5 (b) 3 (c) -161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 127 and 266527153.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2*5*(-24)\/20. Suppose 7*f - s = -c + 3*f, 5*f = -5*c + 60. What is the remainder when c is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000601 to 6 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -81 - -89. Suppose g + 12 = -5*n. Which is the nearest to -1\/3? (a) 1 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wmmcyyypsmpmm. What is prob of picking 1 c and 1 s?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -8.7, 10, 2\/9, -1, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -10, 1 in descending order.\nAnswer: 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -699 = 7*c - 783. Solve 3*l + 0*r - 4*r - c = 0, -l - 3*r = 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*g**4\/2 - 51*g**3\/2 - 87*g**2 - 60*g.\nAnswer: 3*g*(g - 20)*(g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 203739, 203735, 203729, 203721?\nAnswer: 203711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 127 = a, -4*a - 4*x - 615 + 107 = 0. Let v = a + 126. Let m = -7 - -11. Sort v, -0.2, m.\nAnswer: v, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -6328*v**2 + 77*v - 77. Let b(r) = -333*r**2 + 4*r - 4. Calculate -77*b(m) + 4*p(m).\nAnswer: 329*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(12)*5 + ((-6*(sqrt(27) + sqrt(81)\/sqrt(3)))\/sqrt(9))**2 + 4.\nAnswer: 10*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2.1? (a) 4\/5 (b) -21 (c) -4 (d) 0.1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 5 times -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/6 (b) -0.4 (c) -112 (d) -1.5444\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00307371007 rounded to seven dps?\nAnswer: -0.0030737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5903523.\nAnswer: 3, 72883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((5\/6)\/5)\/1. Let h be (((-3)\/3 - 0)\/7)\/(120\/(-140)). Factor 1\/6*q**2 + c*q - h - 1\/6*q**3.\nAnswer: -(q - 1)**2*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 6}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 37521 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, x: 5, u: 4}. What is prob of sequence uu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 24 = 4*l, l - 16 = -3*c + 5*l. Let q(t) = 495313*t**2 - 5*t + 8. Let f be q(c). Round f to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12874\/39 - -330. Which is the smallest value? (a) -1\/3 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 48 - 34. Suppose 0 = -2*w + 2 + 14. Calculate the lowest common multiple of j and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**2 - j + 1. Let g = -1938 + 1937. Let v(m) = -10*m**2 - 15*m + 15. What is g*v(h) + 15*p(h)?\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 57 and 33.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (-13)\/(-4) + 5 + 105\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vpv when three letters picked without replacement from {v: 3, z: 1, c: 2, p: 7, d: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be -152 + -2288 - (-2)\/2*1. Let y = 3439 + b. Is 25 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2677*j**2 - 911*j - 2 wrt j.\nAnswer: -5354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n**2 + 21*n - 90. Give w(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1268123440.\nAnswer: 2, 5, 41, 109, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -29026b (base 14) to base 10\nAnswer: -1421879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**2 - 15*t - 42. Let g be a(25). Calculate the highest common factor of 592 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3471468.\nAnswer: 2, 3, 7, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 + 230\/(-70) + 37800004\/14. What is m rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = r + 6. Give p(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be -3 + (-1 - -7 - 0). Suppose -s*t - t = -16. Let p be (3\/6)\/(1\/t). Solve -w = p*w + 2*l + 25, 4*l + 20 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -5*t + 245. Let f be q(46). What is the highest common factor of f and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - c - 12 = 2, 4*h + 4*c = -24. Let n = h + 4. Let a(u) = 74*u**2 + 586*u - 45. Let g be a(-8). Solve q = -n*q + g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 12 = -t. Suppose -4*y - t = -o - 3*y, 2*y = -2*o - 2. Let d(c) = -2*c**2 + 3*c. Let n be d(2). Put 4, o, n in decreasing order.\nAnswer: 4, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:10 PM and 5:46 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 394 minutes before 5:39 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 1101 (base 3) to base 15\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**3 + 3*p**2 - 3*p + 2. Let l be d(2). Let w = 5 - l. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 48.78104 + 0.06696. Let b = l - 47. Let n = 0.258 - b. Round n to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -2517845 (base 9) to base 12\nAnswer: -561128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.3 + 1. Let a be (-12)\/(-14) - (-1458)\/(-378). Let u = -6 + 7. What is the closest to u in -5\/4, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2863670917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 563535 and 32202.\nAnswer: 1127070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes before 5:38 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 2 p when three letters picked without replacement from {p: 4, b: 2, z: 3, m: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 5399*n**2 - 6*n - 5. Suppose -20 = -5*c, -3*c - 2 = -2*k - c. Suppose m = 2*m + k. Let t be g(m). What is t rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 906 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from sobrobookorrko.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 864053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 1 + (11 - (18 + -8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-14)\/(-4)*(-8)\/(-14). Is -1*(-677)\/2*a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 5*g - 22. Suppose 4*q + 3*o + 17 = 0, -o + g = 3*q - 5*o. Let y = q - -2. Solve 5*p = y, 0 = 2*m - p + 2 - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 311590647 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -138571*m + 642 = -f - 138542*m, -f - 4*m = -96 + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 324653 times -7?\nAnswer: -2272571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -2*o**2 + 28. Let s(z) = -21*z**2 + 282. Give -102*m(d) + 10*s(d).\nAnswer: -6*d**2 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 - -15. Let d = a - 11. Solve -2 = -l - d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 676 + 318905215.\nAnswer: 318905891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -115*k + 29. Let d be v(-2). Let i = 364 - d. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1094656, -1094705, -1094754, -1094803, -1094852?\nAnswer: -1094901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1928881?\nAnswer: 61, 103, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 102051104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-3)\/(3*2))\/(24\/(-52944)).\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**2 - 5. Let x be f(0). What is the closest to -1\/5 in 5, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -4*k - 6. Let y(u) = 4*u - 6. Let i(x) = -2*x + 3. Let w be -3 + 144\/(-81) - (-4)\/(-18). Let c(a) = w*i(a) - 3*y(a). Determine c(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 29570.7 - 29577. What is the fourth smallest value in s, 2, -2, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that w + 124211*w**2 + 60 + 6*w**4 - 145*w - 124196*w**2 + 63*w**3 = 0.\nAnswer: -10, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/5, 2\/19, 0, -2763, -0.5, -4.\nAnswer: -2763, -4, -3\/5, -0.5, 0, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the third derivative of 0*c + 1\/24*c**4 + 2*c**2 + 0*c**5 - 1\/168*c**8 + 0 + 0*c**6 + 0*c**7 + 0*c**3. What is the second derivative of z(h) wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 + 0 + (-2 - 2 + 3)*(4 - 5 + 3) + (-38 - 27 + 136)*(-5 + 1 + 2)*(1 + 2 - 2))*(0*j - 2*j + 0*j).\nAnswer: 290*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*k + 0*k + 5*k)*(-8*k - 2*k + 5*k)*(-1 + 2 - 2) + (k + k + 0*k)*(0*k - k - 2*k) in the form l*k**2 + u + n*k and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.3 (b) 3 (c) 5 (d) 4 (e) -187812 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*j - 5*n + 15 = -9*j, 3*j - 5*n = 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m**3 - 10*m**2 - 6*m - 3. Calculate t(-10).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -47*b*v**5 + 442039022*b*v**2 + 237085*v**6 wrt v.\nAnswer: -2820*b*v**2 + 28450200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -369 or -356819\/965?\nAnswer: -356819\/965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 - -3040203?\nAnswer: 3040210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -1 - (19 + -10 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(1 + -2) - (1 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 15 - 1 = 0. Let o(a) be the second derivative of -1\/24*a**g + a + 1\/4*a**2 + 0 + 1\/8*a**3 - 3\/80*a**5. Find f such that o(f) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -734\/9 (b) -14\/103 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 0*n - 3 = 0. Let f be (-1)\/4*(-11 - 51\/15). Factor 8\/5*p**n - f*p**2 - 2\/5 + 12\/5*p.\nAnswer: 2*(p - 1)**2*(4*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j**3 - 5*j**2 + 6*j + 8. Calculate the smallest common multiple of q(-6) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**2 - f - 9. Let c = 141 - 141. Suppose c = 28*i - 22*i - 144. Calculate the smallest common multiple of n(7) and i.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -78.086 - -78. Let d = 0.846 + u. Let o = 2.76 - d. Which is the second smallest value? (a) o (b) 0.8 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -114800 divided by -328?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 738 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**13\/v**(2\/5) assuming v is positive.\nAnswer: v**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 695 a factor of 2243460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dud when three letters picked without replacement from {u: 11, d: 3}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 13*p - 3. Let y(o) = -24 + 7*o + 22 + 6*o. Let k(h) = 7*b(h) - 6*y(h). Calculate the remainder when k(2) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 190 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add together -143406171240887 and -0.4.\nAnswer: -143406171240887.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 3 = -2*h + 9, -5*h = -z - 15. Suppose 2*y = -h*y - 10. Let c be y + 3 + 2 + -1. Solve -c*o - 15 = -5*l, 5*l - 30 = -o - 0*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the third derivative of 31*m**5\/60 - 5*m**4\/24 - 2*m**3\/3 + 5840*m**2. Let r(z) = 16*z**2 - 2*z - 2. What is -5*r(d) + 2*x(d)?\nAnswer: -18*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2c662 + -29?\nAnswer: 2c638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 38 = 3*c. Let f = c + -23. Let k = -35 + 79. What is the remainder when k is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12986 is divided by 203.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -3*r**2. Let c(x) be the first derivative of 1 - 1\/2*x**2 + 0*x. Give c(q(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*o**3*x**2 - 102*o**2 - 434*o*x**2 + 2*o*x - 2*x wrt o.\nAnswer: -42*o*x**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 108373 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(70)\/(2*sqrt(7)))\/(sqrt(25)\/sqrt(5)*4))**2*1.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 1033460 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(-3)\/(-3)*-17*(-2)\/1054?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the third derivative of -p**5\/15 - p**4\/12 + 2*p**3\/3 - 1638*p**2. Let x(q) = -8 + 3 + 0*q + 4*q**2 + 3*q. Give -5*h(w) - 4*x(w).\nAnswer: 4*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 124057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 58875655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*-1*sqrt(187))\/((2*sqrt(11) - sqrt(11))*1 - sqrt(11) - sqrt(11)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32833?\nAnswer: 32833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*d - 5409 = 59*d. Let q = 625 + d. Solve -q*w - 9 = -21*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4.6 (b) -0.02 (c) 0 (d) 3 (e) -0.26 (f) -3 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 4261977102 to the power of 1\/3, to the nearest integer?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -42 = -59*v + 194 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 743 divide 6061324017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 - -13. Suppose 0 = 4*k - u, 0*m = -3*m - 3*k - 25799991. What is m rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6240749 to the power of 1\/2, to the nearest integer?\nAnswer: 2498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**3 - o**2 - o - 2. What is the tens digit of r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hvp when three letters picked without replacement from {y: 6, h: 7, p: 5, v: 1}.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:36 PM and 9:46 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -2*t + 2*t**2 - 4*t - 2*t**3 + 5*t + 0*t**3 in the form m*t + k*t**3 + i*t**2 + d and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 62*h**2 + 6*h + 8*h - 25*h**2 - 29*h**2 - 7. Calculate the remainder when b(-6) is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4308 is divided by 1250?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*a = 52 + 289 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:04 PM and 12:23 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 337923?\nAnswer: 3, 37547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/9 - 4300\/1935. Sort 2, w, -1\/2, -5, 4.\nAnswer: -5, w, -1\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s = 2*v + 40, 2*v = s + 3601 - 3626 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1001 from -128147726670.\nAnswer: -128147725669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v - 3. Let o be r(-5). Let k(a) = 15*a**2 - 2*a**o - 4*a**3 - 1 + 3*a**3 - 2*a. Is k(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 79\/4 - 245\/12. Sort 0.11, w, -2\/17 in decreasing order.\nAnswer: 0.11, -2\/17, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 - (-9 - (8 - 11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 208 and 1963.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 455.0131ml in litres?\nAnswer: 0.4550131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1229 is divided by 246.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**2 + 14*q + 0*q**2 + 2 - 9*q + 1. Give f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 323 a factor of 60440406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 738939.\nAnswer: 3, 17, 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 59 + -77 + 5 + 1 + -46 - -9.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 172927 and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -l + l - 365*l**3 - 2*l - 18*l**2 - 3*l**4 + 360*l**3 in the form n*l**3 + u*l + s*l**2 + r*l**4 + i and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -36*m**2 - 128*m + 241. Give s(2).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6555 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (93*(-11)\/(-231))\/((-5)\/(-35))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -9*f + 2. Let d(h) = 2. Let o(i) = 5*d(i) - r(i). Let b be o(8). What is the highest common factor of 60 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 34 - 279*y**3 - 12*y**2 - 2*y + 280*y**3 + 15 + y**2 - 15*y. Calculate x(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 11031 (base 4) to base 7\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 1597324.5 microseconds?\nAnswer: 0.00044370125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1260603401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be 86\/203 - (-8)\/(-28). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes after 9:11 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the third derivative of -r**6\/120 - r**5\/20 - 25*r**4\/24 + 5*r**3\/6 + 20*r**2. Let v = -59 - -112. What is the remainder when o(-6) is divided by v?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((4056\/65)\/(-13))\/(38\/(-8)*(-1064)\/(-665))?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.13 and -11093.91.\nAnswer: -1442.2083","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 2*m**2. Let b be w(-1). Let s be ((-1)\/5)\/(96\/(-24000)). What is the highest common factor of s and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34618273309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2222.\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**2 + 7*q + 31. Give u(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4 + -1004?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 23\/8 of a milligram in micrograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*w - w = 2000. Calculate the highest common divisor of 25 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -3*n - 98. Suppose 3*y + 4 = -2*x - 0*x, 0 = -2*x + 8. Let w be (-2 - n\/12)\/((-11)\/y). Is 0 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -2*k**3 + 234*k**2 + 230*k + 673. Calculate l(118).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be 10\/40*(-12)\/5. Which is bigger: -11\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aam when three letters picked without replacement from mamamaamkmmakka?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 97259 is divided by 19448?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 66169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 4*l**2 + 7*l - 10. Let c be v(6). Suppose -3*m + 0*m - 5*g = -257, -g + c = 2*m. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-5)*7\/((-42)\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-1\/5)*j**(4\/7))\/(j**(2\/17))**(20\/7) assuming j is positive.\nAnswer: j**(3\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 21 + -7. Suppose w + b - 8 = -0*w, 4*w = -b + 17. Calculate the remainder when -82*(1 + w\/(-2)) is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.4651 - -0.4650997831. What is d rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 4.2 * 3664.788\nAnswer: 15392.1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 122543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a factor of 42763580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10000110 - 1001?\nAnswer: -10001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -85*y**4 + 34185*y**3 - 140630*y**2 - 265560*y + 1146240 = 0. Calculate y.\nAnswer: -48\/17, 3, 4, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -119 - -1001?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 88098853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/6180 and -3\/10300?\nAnswer: 30900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the second derivative of z**5\/40 + 2*z**3\/3 - 7*z. Let x(a) be the second derivative of o(a). Let q(u) = 2*u**2. Determine x(q(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2451684 <= 0.86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 564\/235*25\/(-110).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.002 - -10.998. Sort a, -0.4, -4.\nAnswer: -4, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 626 is divided by 165.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1866 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 85\/148 and (-165)\/(-27) - 2\/3 - -3.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 59418, 59421, 59426, 59433, 59442?\n\"Answer: z**2 + 59417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3308237253?\nAnswer: 3, 10771, 34127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -218 + 1110. Let d = 433 + q. What are the prime factors of d?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 + 2)*10 + 23\/((-23)\/(-8))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 110*a - 110470 + 112670 = 0 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gwggswsksdgwsww. Give prob of picking 1 g and 1 d.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = d + 3*f, -1 + 37 = -3*d - 4*f. Let m = d + 10. Suppose -m*g + 30000 = g. Round g to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) -5 (c) -11 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 7*w. Let i(t) be the second derivative of t**6\/240 + t**4\/2 - 6*t. Let c(y) be the third derivative of i(y). Calculate c(a(k)).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3432\/39*(-5)\/(-10)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-112)\/448*(3\/(-2))\/(90\/80).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the second derivative of -x**6\/10 - 81*x**5\/10 + 14*x**4 + 27*x**3 - 165*x**2\/2 - 19*x. Let h(y) = 0. Calculate y.\nAnswer: -55, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -109*w = -105*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 327, 3\/145588 in increasing order.\nAnswer: -3, 3\/145588, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 19 in -1\/3, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 2*b - 2 = -12, -4*b + 2 = m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -3011331 (base 4) to base 8\nAnswer: -30575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*g + 36 = 2*g. Solve -7*f + g*k + 10 = -2*f, -4*f - 4*k + 40 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 61 divided by 41?\nAnswer: 61\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1183*x**3 + 26954*x + 12694*x - 1186*x**3.\nAnswer: -3*x**3 + 39648*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3300206, -3300224, -3300266, -3300344, -3300470, -3300656, -3300914, -3301256?\nAnswer: -3301694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -14*a - 534. Let c be i(-39). Solve 65 = -d - c*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -26\/487 - -3496\/47239. What is the third smallest value in 5, 2, -2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3715?\nAnswer: 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5604625 divided by -2.\nAnswer: -5604625\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4\/7 + -30\/77. Let z = -49\/22 - -30\/11. Let a = 282 + -281. What is the nearest to a in -0.1, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 504 = -10*r. Suppose -13 - r = -m. Let h = m + -69. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(98) - sqrt(98)*2) + sqrt(98) + 0 - 2*sqrt(98)*2).\nAnswer: -28*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11339*o**3 + 16871*o**3 + 15499*o**3.\nAnswer: 21031*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 + -100010000110000011?\nAnswer: -100010000110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -201 - -223 - (-7 + -20).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -341*w**2 + 1530*w**2 - 343*w**2 - 348*w**2.\nAnswer: 498*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of -20 and 2249.3.\nAnswer: -44986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the first derivative of -8\/27*p**3 - 8\/9*p**2 + 0*p + 1\/27*p**6 + 1\/3*p**4 + 2\/9*p**5 + 42. Factor z(o).\nAnswer: 2*o*(o - 1)*(o + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-19)\/(760\/344)*-1*-5.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*j - 5*j - 27. Let c = -5 + 8. Solve r + j = 2*y, -c*y = -3*r - 6*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13 + 71 - 2*g**3 - g + g.\nAnswer: -2*g**3 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the second derivative of v**4\/12 + 7*v**3\/6 + 4*v**2 - 9*v. Let y be b(-8). Determine s, given that 4 + y*s - 4 + 54*s**2 - 58*s**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**3 + 8*x**2 + 4*x + 4. Suppose -3 = 3*k + 18. Is d(k) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 + (6 - 13) + (1 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 423 divide 6575958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n = 4*v + 73 - 77, 0 = -3*n - 2*v + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -2*l**2 + 440*l - 4741. Determine g(15).\nAnswer: 1409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 35.9 - 40.5?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve f + 50467 = 4*y + 50538, -2*y = -5*f + 337 for f.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b - 4. Let g be o(-6). Suppose -g*w + 3 = 3*i + w, 4*w - 7 = -5*i. Suppose -5 = 2*f + i. What is f rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.203 + 0.077. Which is the nearest to -2? (a) p (b) -1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/5 + (-108617)\/(-235). Let j = p - -73. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -135, -4, -0.4.\nAnswer: -135, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24)\/48*7\/98?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7337.8 + -7338. What is the nearest to -43 in 4\/7, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c + 0*c - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-41)\/(-2) + 15\/(-30). Solve -3*d = 2*d + p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 145 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0528362547 to 5 decimal places.\nAnswer: -0.05284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -5465*g - 426217. Give z(-78).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*1*sqrt(180) + sqrt(180))\/(sqrt(100)*1))**2 - (2 + -2 + -4*(sqrt(5) - sqrt(245)*2)).\nAnswer: -52*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/90*(-6)\/308*(-1449)\/(-414)\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 415 = -278. Calculate the smallest common multiple of 209 and x.\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -220551 + -7?\nAnswer: -220558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -3060764 divided by 1?\nAnswer: -3060764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 115.9 - -9.2. Let q = y + -125. Let h(u) = -4*u + 1. Let o be h(1). Which is the closest to q? (a) o (b) 4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 2*h**3 + 21*h - 9. Let x(q) = -q**3 - q**2 - 663 + q**2 - 10*q + 667. Give 4*l(i) + 9*x(i).\nAnswer: -i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 198\/(176\/8) + 192\/(-28) + -2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 72 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 53, 1, -0.3, 44, -3\/5, 0.2.\nAnswer: -3\/5, -0.3, 0.2, 1, 44, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15*o - 291 + 366. Which is the third smallest value? (a) -0.2156 (b) o (c) -0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w - a + 2679 = 2686, 6*w - 2*a = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 362 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4 + 1 + 2)*(0 + 0 + 2) - 2 - 2 + 2)*(3592*r - 3599*r - 2 + 4)*(9 + 20 + 1).\nAnswer: 840*r - 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*k - 23*k = -248. Let i = 64 - k. Factor -17*m**2 + 30*m + 29*m**i - 7*m**2.\nAnswer: 5*m*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 59*s - 84*s + 25*s + 724*s**3 - 1094 wrt s?\nAnswer: 2172*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/5 or 0.3011?\nAnswer: 0.3011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 1\/10 of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -107*l - 854. Let d be u(-8). Solve 4*n = d*r - 16, n - 4 + 8 = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 73*k - 43*k - 37*k as s + a*k and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 138\/1*5\/10?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3456 (base 11) to base 7.\nAnswer: -16142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together -29 and 480879.\nAnswer: 480850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 56 - 12 = 0. Let j(p) = -p**3 - 11*p**2 - p - 13. Let v be j(t). Is ((-535)\/10)\/(v\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 398 - 405. Suppose -14 = -5*p - 39. Let l = -2451 - -2447. Which is the smallest value? (a) w (b) p (c) l (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 153 = 2*f. Let b be (2\/(-6))\/((-134)\/41406). Let a = f + b. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-1)\/(-1) - (5 - 7) is divided by 9\/5 + 1\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 242 is divided by 138?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v + 2 - 2)*(-2 - 4*v + 3*v + 4*v**2 - 5*v**2).\nAnswer: v**3 + v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zkz when three letters picked without replacement from {x: 1, z: 2, k: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*k**2 - k - 5*k**2 + 1 + 2*k**4 + 7*k**2 - 3*k**3 to i*k**4 + y*k + j + x*k**3 + h*k**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 12 = 5*c. Let n = c - -11. Let r(d) = -8*d**2 - 295*d + 41. What is the smallest common multiple of n and r(-37)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 42195200 to the nearest one hundred thousand.\nAnswer: 42200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f + 1. Let g be r(-4). Let t(c) = -3*c - g*c - 2*c + 2. Calculate the smallest common multiple of 6 and t(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f - 4117*o + 5 = -4118*o, 3*o = 4*f - 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -1320 (c) 0.05 (d) 2\/3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*d + 6*d - d + 10*d + d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1\/(-55 + 10))\/(1\/(-5)). Let w(m) be the first derivative of 2\/45*m**5 - 2\/9*m**2 + 3 + 0*m**3 + z*m**4 - 2\/9*m. Factor w(n).\nAnswer: 2*(n - 1)*(n + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 3010218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -61, -3, 0.5.\nAnswer: -61, -3, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 70284 greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:56 AM and 2:08 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 + -2. Let w = 4347\/38 - 229\/2. Let i = w - -27\/76. Which is the closest to h? (a) i (b) -4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 34 = -6. What is the least common multiple of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 6\/2909?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r. Let s be b(-1). Let j = s - -2. Let g be -2 - (10\/1)\/(-2). Solve 3*c + g = -j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g + 13. Suppose c = 6*c - 25. Suppose 45 = c*x - m + 1, -5*m = 4*x - 41. Let o be h(x). What is the greatest common factor of o and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*p + 2739*p**3 - 525*p**3 + 1791*p**3 + 643*p**3.\nAnswer: 4648*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**4)\/b*b**(-2))**(-16) assuming b is positive.\nAnswer: b**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -10660.45 - -10309. Let o = g + 443.1. Let t = o + -94. Round t to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2.378 - 2.578. What is the third biggest value in 1, c, 10, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 126 + -90. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.02 * -1.7\nAnswer: 0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 2 - 433981*z + 430795*z to the form b + k*z and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 28 = 12. Let v = 4 - u. What is v rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 592 and 296?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6634885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k - 5. Let h be d(11). Let z = h + -1. Suppose z*m - 278 = -a, 0*a - 3*a - 230 = -4*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 687.8572837654 + 0.1426669346. Let i = o - 688. Round i to 6 decimal places.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 395, 772, 1125, 1454, 1759?\nAnswer: 2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let -j**3\/3 - 21133*j**2\/3 + 42287*j + 190251 = 0. What is j?\nAnswer: -21139, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:13 PM and 9:34 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (2324\/12201)\/(1*(3\/9 + 3))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 126*q - 65*q - 63*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10 + -19. Let i(x) = -x**3 + 6*x**2 - 4*x + 4. Let d be i(5). Let z = d - w. What is the smallest common multiple of z and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 111524 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a**3 - 13*a**2 - 11*a - 29. Calculate k(-12).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -d + 57*c = 60*c + 30, 0 = -4*c - 20 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 86115698 to the nearest integer?\nAnswer: 9280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2230, -4549, -6972, -9529, -12250, -15165, -18304, -21697?\nAnswer: -25374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (837 - 56*h**2 - 837)*(9 - 8 + 40 + 1)*(4 - 5 + 0).\nAnswer: 2352*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47 = 31*f + 46. Let m(k) = 3*k**2 + 2. Let b(x) = -3*x**2 - 2. Give f*b(i) - 4*m(i).\nAnswer: -3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 5 = d - 0*u, 5*d = 2*u - 3. Let c be -3 - 0 - (25 - 0)*d. Suppose 3*z - 5*z + c = 0. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -409200994610*v + 13 - 13 + 409200994611*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**2 - 7*q - 13. Let a be j(9). Suppose -a*f + 12 = -178. Let r = 27 + f. List the prime factors of r.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -18*k**4*t**2 + k**4*t + 84*t**2 + 2*t wrt k.\nAnswer: -72*k**3*t**2 + 4*k**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.0163943 * 0.5\nAnswer: -0.00819715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1108560 is divided by 359.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*w = -12*w + 14*w + 3*m + 42, -6*w - 18 = 4*m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.002065244 rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 71 = 2*p - 5*y, 0 = 5*p - 2*y - 447. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -66 divided by 1538?\nAnswer: -33\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 2*l**3 - 2*l**2 + 23*l - 93. Let x be c(4). Suppose -3*q = -5*u - 157865, -x*u + 96*u + q = -31565. What is u rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -11*h - 13. What are the prime factors of p(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 171374 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: Round -5941 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*c - 4*c + 4*c)*(c**2 - 11*c + 11*c)*(-2 - 1 + 4)*(4*c - 4*c + 2*c).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 0 not equal to -1\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -2*t**3 - 3*t**2 - 3*t - 1. Let u be (11\/2)\/((-3)\/(-6)). Suppose -3 + u = -4*a. What is the units digit of q(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2500.003507 to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -2*f + f**2 + 4*f**2 - f**2. Let z(p) = p**2 - p. Let h(j) = -2*l(j) + 7*z(j). Calculate h(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3620 + 1100 + 2*m - 4*m - 671 to the form w + z*m and give w.\nAnswer: -3191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 197 divided by 2.\nAnswer: 197\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the second derivative of 69*y + 0 + 0*y**2 - 3\/110*y**5 + 3\/22*y**4 - 2\/11*y**3. Factor f(h).\nAnswer: -6*h*(h - 2)*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((483\/(-126))\/23)\/(4\/18)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -38 - -41. Suppose 3*o + 3004 = -7*x + h*x, 3*x = -4*o - 4003. What is o rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -233 - -309. Suppose -3*t - 19 - 76 = -5*g, 4*g + 2*t - c = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 115*v**2 - 371*v**2 - 267*v**2 + v**3 - 26*v**2 + 1 + 2*v + 36*v**2 as a*v**3 + n*v**2 + u + b*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1848 and 195272.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -86 * -2\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 - 113 = -5*p. Let o be (157 - -4) + 2 + -1. Calculate the highest common factor of p and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y - 2*y - 3*z + 99, 4*y - 5*z + 133 = 0. Let x = 54 + y. Suppose -j = -t + x, 9*t - 106 = 4*t + 4*j. 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 is the millions digit of 970944138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = i - 16. Suppose 13*h - 4*h - 108 = 0. Let r be w(h). Let y(v) = 5 - 4 + v + 0*v. What is y(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 54519090 to the nearest integer?\nAnswer: 7384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in thirteen fifths of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in 0.105, 99, 62?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.8 * 1.8.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 20*c**4 - 3*c**4 + 2*c**3 - 3*c**3 - 2 + 2*c + c**3 as k + i*c + o*c**3 + v*c**2 + s*c**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 13606 (base 8) to base 14\nAnswer: 22a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 - 5*r**2 + 6*r + 4. Let i be c(-6). Find the third derivative of 0*d**4 + 2*d**4 - 3*d**i - d**2 - 2*d**4 wrt d.\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.08726507 to three dps.\nAnswer: 0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((i*i**(-12))\/i)\/((i**9*i)\/i))**(-3))**(1\/77) assuming i is positive.\nAnswer: i**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1781829849 to the power of 1\/3, to the nearest integer?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*r**2 + 21*r - 21*r)*(3*r**3 + 0*r + 0*r) + (-15*r**2 - 18*r**2 + 29*r**2)*(-r**3 - 3*r + 3*r).\nAnswer: -14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65 = 6*d + 1639. Let l = d + 438. Calculate the remainder when l is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(833) - (-1 + sqrt(833)))**2 + 1*sqrt(17)*1.\nAnswer: 1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7909 + -7658. Suppose -2*h + m = -498, 4*h - 3*m - m = 988. Is h at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.11218 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 717, 617, 205, -675, -2179, -4463, -7683?\n\"Answer: -26*u**3 + 82*u + 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 905221597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/((-140)\/25)*2*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 2*h**2 - 2*h. Let v(p) = p**2 - p. Let w(x) = -4*r(x) + 7*v(x). Let m(z) = -24*z**2 + 21*z. Let a(y) = -2*m(y) + 42*w(y). Give a(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 638\/3, -5, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be 710 - -8 - (1 - (1 - 4)) - -2. What is the highest common divisor of 12 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.0406 - 70.78.\nAnswer: -70.8206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1215) + (sqrt(1215) - -1*sqrt(1215)))\/(sqrt(192)\/sqrt(4)))**2.\nAnswer: 3645\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, q: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 - -295acb?\nAnswer: 295ad1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22 + -22 - (1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 475 is divided by 233.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 494673727?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -13.14 - 5.14. Let p = 3.2 + -21.2. Let n = d - p. What is n rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 20*x**3 - 2*x**2 - x. Calculate n(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {q: 10, s: 1, p: 9}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*t - 6051 - 71016 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 77863*x. Let t(l) = -9*l**2. What is y(t(g))?\nAnswer: -700767*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**5*q*q*q\/q**(-4\/5)*q*q*q*(q**(-2\/7)\/q)\/q*q**(2\/23) assuming q is positive.\nAnswer: q**(7729\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = -107 + 102. Let s(q) = 6*q. Let h(z) = 15*z. Give a*h(r) + 12*s(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = 5, p = -2*a - 0 - 3. Let b be 16 - (0 + -2) - a. Let l be (-8)\/b - (-34)\/60. Are l and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 2*l = -62, 50 = 4*z - 2*l - 32. What is the derivative of -z - k**3 - 2*k**3 + 20 wrt k?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -13 - -7. Let g(r) = -r + 2. Let j be g(q). Solve 4*y - j*y + 3*f = 12, 0 = -5*f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 40\/((-2)\/(-2))*-2. What is the common denominator of -73\/40 and ((52\/(-5))\/(-1))\/(79 + s)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-10)\/(-372)*(4 + 1 + 8162\/(-1540)). What is the third biggest value in -0.3, n, 0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2a - -a581?\nAnswer: a5ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 32 - -31301?\nAnswer: 31333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1912 = 59*i - 51*i. Calculate the remainder when i is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Express (3 + 7 - 6)*(-14 - 14 + 22)*(-4 + 3 + 8*j - 11*j)*(0 - 1 + 0) in the form f*j + p and give f.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 + -4. Let z = 0.1 + 1.9. Let g be 4 - (-1 + (-219)\/(-45)). Which is the closest to j? (a) g (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -193 - 20?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4871 - 116935\/24. What is the common denominator of a and 95\/324?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1052 and 510924.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.5, -125, -1\/7, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 31*y + 5 - 3 + 30*y to the form b + t*y and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 10 - (15 - 6) - -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the first derivative of -2*t**3\/9 - 3. Let v(p) = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**2 + 2*p - 3. Suppose -3*j + 2*t = -5, -4 = 3*t + t. Let a be k(j). Solve a = x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*a = -3*a + 30. Solve -5*f + 3*f = a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (30\/(-105))\/((-1357)\/(-413)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 102815 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 12 = -9*y. Suppose -y*x + 3 = -5*x. What is the common denominator of 495\/(-70) - (2 + x) and -3\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*y + 12*y = -74. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*m - q + 70, -41 = m - 5*q + 1. What are the prime factors of m*(-6 - 245\/14)?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4680 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-134)\/(-456) + (-16)\/1152*6?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 62 minutes before 12:25 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -214*d - 42 = -6*j - 209*d, -2*j + 60*d + 10 = 59*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-5778)\/13)\/(-3) + (-6)\/39. Let q = -65 + i. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2917 equal to -2927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-13)\/10)\/((-3)\/15*5\/(-2)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 0 + (-6 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1424, 2849, 4288, 5747, 7232, 8749, 10304, 11903?\nAnswer: 13552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be 11 - (-9)\/((-405)\/549). Which is the nearest to -1\/3? (a) g (b) 416 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*w = -17*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2185 divided by 115.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:04 PM and 10:06 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h = -4*n - 16, n - 3465 = 26*h - 3575 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1, 2\/3529, 0.3, -3, -2 in increasing order.\nAnswer: -3, -2, -1, 2\/3529, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-9)\/3528*14*7)\/(1\/(-64)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = a + 1. Let p(y) = 2 + 2 + y - 2*y - 5. Let n be p(3). Determine k(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p\/(p\/(p\/p**1*p)))\/p**(-1)*(p\/p**(-1))**(-1\/13))**(-13\/4))**(2\/123) assuming p is positive.\nAnswer: p**(-4\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-4)*((-33640)\/783)\/29?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 146550251.\nAnswer: 17, 8620603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 482 - 100 = 0. Let z = d - -108. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2061 and 1442471.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 25656952 to the nearest integer?\nAnswer: 5065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 + 60)*((-1944)\/90 - -22) - 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41296*d**2 - 41296*d**2 + 256*d**3.\nAnswer: 256*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 16.94 + -16. Let m = z - 0.04. Let j = m + -0.90000026. Round j to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/6 and 1\/4 - 1190\/(-600).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 9\/5 (b) 61 (c) 4\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k and 1 e when three letters picked without replacement from {e: 2, y: 2, c: 6, x: 1, k: 5}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**2 - 100749*t - 1914581. Calculate a(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2*j**2 - 50*j - 1083. Let w be r(-14). Solve -11*n = -y - w*n + 13, -4 = n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 4287 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.008 (b) 1\/6 (c) 0 (d) 4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -776507 (base 10) in base 8?\nAnswer: -2754473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -48.09.\nAnswer: -49.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 6*n**3 - 25*n**2 + 24*n - 72. Determine p(5).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.168 and 17.4.\nAnswer: -2.9232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 136*s - 15. Let p(r) = 204*r - 22. Let l be (-2 - -3)*(-1 - -6). Let n(y) = l*p(y) - 7*v(y). Is n(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -475 - -1102. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/9*(-636)\/(-530)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 30 (base 6) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jcj when three letters picked without replacement from {j: 4, u: 4, i: 7, c: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -3 take away 249?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**2 + 7*v + 15. Let n(x) = x**2 + x. Let p(w) = a(w) + 6*n(w). Let k(t) = 3*t**2 + 6*t + 7. Give 13*k(i) - 6*p(i).\nAnswer: -3*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 2*a**2. Let j be -4 - 5\/(-18)*(-441)\/(-30). Let t(z) be the third derivative of 0 + 0*z - 3*z**2 - j*z**4 + 0*z**3. What is i(t(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2 minutes after 12:59 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 76*y**4 - 33*y**3 - 3*y**2 + y + 2385972 wrt y.\nAnswer: 304*y**3 - 99*y**2 - 6*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -72 - 296 = 184*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + 1*(-65)\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1502 and -5.\nAnswer: 7510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/57 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1730282 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g = 5*c + 2, 0*g = -5*c + 5*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 2892?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.13 + -5484075?\nAnswer: -5484074.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 145 + -88. Let b = -56.61 + o. What is b rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 625546, 625200, 624842, 624466, 624066, 623636, 623170?\nAnswer: 622662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 23020355 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -27 - -60 - 35 - (0 - 22)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*n**3 + 232*n**2 - 876*n + 648.\nAnswer: -4*(n - 54)*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15 - -12. Let u(d) = -7*d**3 + 2*d + 1. Calculate the smallest common multiple of (28\/(-8))\/(f\/6) and u(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-5 + -2*sqrt(11)).\nAnswer: 20 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*v + 4*b - 53 - 110 = 0, 532*b - 527*b = -3*v + 58 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 - 2*c**2 - 12*c - 12. Let x be f(5). Let i(s) = 2*s**3 + s**2 + 2*s - 7. Is 62 a factor of i(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25080 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 - 12 + 4*b**2 + 9 + 54.\nAnswer: 4*b**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -630, -1228, -1836, -2460, -3106, -3780, -4488?\nAnswer: -5236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 40 and 710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 2*j**3 + 2*j**2 - 4*j - 46. Let c(b) = 2*b**3 + 3*b**2 - 5*b - 46. Calculate -4*c(q) + 5*d(q).\nAnswer: 2*q**3 - 2*q**2 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 20 = -5. Suppose -s*v + 22 = -4*a, -4 = 2*a + v - 0. Let p be a*3\/9 + -1539. What is p rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 48650710 to the nearest integer?\nAnswer: 6975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 9. Suppose i*y = -14 - 6. Let l(n) be the first derivative of -3*n**2\/2 + 2*n + 3793. Give l(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wywu when four letters picked without replacement from yuwypoywuw?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-18)\/(-99) - 196\/(-11). Let g = w + -19. Let k = -2.5 - -3. Sort k, g, -1\/8 in decreasing order.\nAnswer: k, -1\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 6*o**3 + 42704*o**2 + 46461314*o + 15482360 = 0.\nAnswer: -5777, -1340, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33455.\nAnswer: 5, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1876158621 divided by -5\nAnswer: 1876158621\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 55*k + 866 = -124 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:35 PM and 10:30 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10 - -21\/2. What is the nearest to 1 in -0.2, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 5, 255\/2, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/6 + ((-2)\/(-3) - -3). Let v be 2\/(2 - 4) + s. Suppose 5*f - v*k - 150144 = 30359, 4*k = -4. Round f to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4 - (-7 + 1)) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6 + 11*b**4 - 5 - 61*b**6 - 3 + 61*b**2 + 66*b**6 wrt b?\nAnswer: 600*b**3 + 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*a - 1 = 30*a - v, -25 = 5*a - 5*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a - 1. Let q be t(-3). Factor -3 - 12*u**2 + 5 - u**5 - 4*u**4 + 5*u - 4*u**3 + 14*u**q.\nAnswer: -(u - 1)*(u + 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (4 + -2*sqrt(125) - sqrt(60)\/(sqrt(972)*-2 - sqrt(972)))*-3.\nAnswer: -8 + 269*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 116 (b) 0 (c) 20.418 (d) 2 (e) -1 (f) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 419 - 338. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 207425746.\nAnswer: 2, 11, 2161, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be 17\/((-136)\/304)*75\/6. Let j = s + 474. Which is the closest to -0.2? (a) 3 (b) 2\/9 (c) 20 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -28083, -398, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 2*o + 14. Let q(l) = 2*l**2 - 2*l - 10. Suppose -15*y - 13*y = -31*y. Let d be q(y). Give j(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 81 divide 631681254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l + 2*l + 2*l)*(2*l + 0*l - 4*l) - 12*l**2 - 2*l**2 + 11*l**2 - 10.\nAnswer: -5*l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l and 1 x when four letters picked without replacement from {x: 6, w: 1, l: 8}.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -25, 71, 169, 269?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -1. Let w(n) = -n - 11. Let y(o) = 18*b(o) - 2*w(o). Let d be y(-3). Let s = d - -5. Calculate the remainder when 5 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*w + 291 = 11*w. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 121 minutes before 8:12 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 85, 201, 371, 625, 993?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-18) - 24\/(-567)*3.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.2 less than -9465364231?\nAnswer: -9465364233.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = 4*k + 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 401.4758 decades in months?\nAnswer: 48177.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i**2\/4 - 1231*i\/4 - 6205\/2 = 0. What is i?\nAnswer: -10, 1241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 4 - 6 - 22 - 7 + 18*d - d**2 - 9. Give c(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 77 + 677.957162\nAnswer: 754.957162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.124369028 * 3.\nAnswer: 0.373107084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5*(-3 - -8 - (-29)\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*a + 26987 = -425061. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*b + 1 + 4884*b**3 + b - 660*b**3 - 2.\nAnswer: 4224*b**3 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 441*c**2 + 11*c - 16. What is the tens digit of m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25128272467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**(-16))\/s**(8\/9)*(s**18*s)\/s**22 assuming s is positive.\nAnswer: s**(-170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*h - 2*d + 6, 2*h + 137*d = 120 + 291 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the third derivative of m**6\/40 + 17*m**5\/20 + 15*m**4\/4 + 2040*m**2. Find c such that l(c) = 0.\nAnswer: -15, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor z**3 - 1026*z**2 + 144960*z - 5542400.\nAnswer: (z - 866)*(z - 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 14310 by 14310.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.215 - -0.015. Let g = -3 - -2. Let v = 3 - g. Which is the smallest value? (a) 0.5 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4543 - -6694. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -42507\nAnswer: 4\/42507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h**4 + 4*h**4 - 2*h**4)*(1 - 3 + 0) + (-2*h - h + h**2 + 2*h)*(0*h**2 - h**2 + 6*h**2).\nAnswer: 3*h**4 - 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the third derivative of -n**4\/24 - n**3\/3 - 4*n**2. Let g(a) = 6*a + 11. What is 2*g(x) + 11*k(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15478?\nAnswer: 2, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -187*n**2 - 471*n**2 - 36*n**3 + 34*n**3 + 7*n.\nAnswer: -2*n**3 - 658*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(1\/4)*z*z)\/z*z*z**(-2\/15)*(z**(1\/2)\/z)**(-38)*(z**(-1\/4)\/z)**(-2\/11)\/(z\/z**(-7)*z\/z**(5\/6)*z*z) assuming z is positive.\nAnswer: z**(2679\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -108 = 22*d - 4*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z + 22. Let f be q(18). What is the first derivative of -54 + 2*r**f - 17 + 17 - r**2 + 3*r**2 wrt r?\nAnswer: 8*r**3 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4825 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -1028*m**5 + 604456*m**4 - 2377172*m**3 - 11410832*m**2 - 8493584*m - 65408 = 0. What is m?\nAnswer: -2, -1, -2\/257, 7, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -7*l**2 + 5. Suppose -5*p - 5*d + 33 = 3, 0 = -5*p - 2*d + 18. Let b(t) be the first derivative of -t**3 + 3*t + 725. Give p*m(x) - 5*b(x).\nAnswer: x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence szzs when four letters picked without replacement from ssszszsz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1002*c**2 + 1526*c**4 + c**3 - 2*c**3 + 0*c**3 - 1241*c**4 wrt c.\nAnswer: 6840*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 85*x + 4945. Determine j(-58).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6032 - -6280. Let a(g) = -5*g**3 - 4*g**2 - 6*g - 5. Let m be a(-2). What is the greatest common divisor of m and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000007973172 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4102125078.\nAnswer: 2, 3, 1321, 517553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (38*53\/(28196\/56))\/((-532)\/((-4)\/2)).\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -98, -711, -1844, -3497, -5670, -8363, -11576?\nAnswer: -15309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 441221 + -10103?\nAnswer: 431114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -3*a + 2. Suppose 0*c = c - 1. Let m(h) = 17. Let b(y) = 33. Let w(r) = b(r) - 2*m(r). Determine c*q(n) + 3*w(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8 - 1) + (9 - (19 + 5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-2\/3))**(1\/3))**(1\/32) assuming t is positive.\nAnswer: t**(-1\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 3 = 3*t, 3*t + 4 = 7*t - 5*r. Suppose -2 + t = f. Let u be ((-7)\/14)\/(f\/16). Solve 0 = 2*i - u, 0 = -4*a + i - 0*i - 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the third derivative of -q**5\/60 - 7*q**4\/24 + q**3\/3 + 3*q**2. Let w = 10 + -4. Suppose -w*x + 16 = -10*x. Give v(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-54)\/(-370) - 7\/35. What is the third biggest value in s, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -117 - -140233 - (-1 + 12\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that -30*g**2 - 90055*g - 1774290 = 0.\nAnswer: -2982, -119\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -d**2 + 7*d - 3. Let k be c(4). Let a = k + -9. Solve 0*j + 4*j = a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 26 and 38?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:51 PM and 8:13 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 93433874 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 248*d = 4*o + 252*d, 3*d + 6 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ffofffooof.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -21*l - 4. Let o be q(-5). Let g = o - 17. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2120 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**3 - 7*z**2 - 10*z + 19. Let s be r(8). What is the biggest value in 0.3, s, -3, 2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -706*y**2 + 276?\nAnswer: -1412*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6)\/2*(-2)\/8. Suppose -3 = 2*m + 4*z + 5, 2*m - 3*z = -15. What is the smallest value in -0.5, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l + 17. Let p be t(12). Suppose -p*y + 3*w - 74920 = 0, -w - 19992 + 49961 = -2*y. Let f = y - -74987. What is f rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6055153650 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**3 + 510*y**2 + 2064*y + 2072.\nAnswer: -2*(y - 259)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*s - 838 = -821 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1757, 7103, 16005, 28457, 44453?\nAnswer: 63987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.11 + 14045734.9.\nAnswer: 14045735.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 2*s = -11, 4*y + 2*s = -2*s + 28. Solve 2*w - w - y = b, 3*b + 5*w = -11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*t*u**4 - t*u**3 - 8*t*u**2 - 61*t*u - 2*t + 14*u**2 + 3*u + 2 wrt u.\nAnswer: -36*t*u**2 - 6*t*u - 16*t + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 92829599.\nAnswer: 7841, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 120 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 203 is divided by 184?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that 3*u**2 - 3*u - 126 = 0.\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/6312 and -87\/8416.\nAnswer: 25248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 - 5. Suppose -20 = 2*l - 3*m, m - 8 = l - t*l. Let a be (-74)\/(-10) + l\/10. Solve -4*d + 9 = -a*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -3\/8 (b) 9 (c) 5910 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f + 2. Let b be w(-2). Let m = 3 + b. Let o(s) = 4*s - m*s - 3 + 3. Let j(y) = 4*y**2. What is j(o(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.017 and 11.\nAnswer: 0.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/(-82743)*11\/(-187)*-17. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * 0.05.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 891017 (base 10) to base 16\nAnswer: d9889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 2755*b + 13058. Determine q(-5).\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 67*o**2 - 3*o + 48.\nAnswer: 134*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -4, 2.3, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 762, 1523, 2284, 3045?\nAnswer: 3806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + d**3 + 2*d - 12*d + 8*d**2 - 3*d**3 = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -842*m**2 + 1690*m**2 - 854*m**2 + 32*m**3 + m - 2*m**3 + 7*m**4 as q*m**3 + s + x*m + f*m**4 + z*m**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 439187443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y**(-7)*y)\/((y\/y**(-4))\/y))\/(y**4*y**(-1\/2)))\/(y**3\/((y\/y**(3\/7))\/y)*y*y\/y**(-1\/5)*y**(4\/9)) assuming y is positive.\nAnswer: y**(-12331\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 5.908131 seconds in microseconds?\nAnswer: 5908131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 8876 by -1.\nAnswer: -8876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from eereereerrreseerer?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -13 divided by -10\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7*b**2*g**4 - 103034*b**2*g**3 + 111*b**2*g**2 - 4*b*g**2 - 86*b - 2*g**3 wrt g.\nAnswer: -168*b**2*g - 618204*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = -2*v + 60. Let u = 104\/7 - v. Let l = 3.839 + 0.161. Which is the second smallest value? (a) -0.2 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -3799*g**2 + 86*g + 16. Let v(r) = -3800*r**2 + 35*r + 14. Let c(i) = 3*n(i) - 4*v(i). What is the second derivative of c(k) wrt k?\nAnswer: 7606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8689.639kg in nanograms?\nAnswer: 8689639000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*b**2 - 3*b**2 + 2*b**3 + (-4*b**2 + 4*b**2 - 4*b**2)*(2*b - b - 2*b))*(3 - 4*b**2 - 3).\nAnswer: -24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2\/((-12)\/3))\/((-2)\/12). Let h(k) = -45*k**2 + 3. Let b(l) = l**3 - 45*l**2 + 4. Let s(z) = a*b(z) - 4*h(z). Find p such that s(p) = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2327, 2363, 2399, 2435, 2471, 2507?\nAnswer: 2543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 780*-5.\nAnswer: -3900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 10 = -4*l. Let k = 5303 - 5303.5. Which is bigger: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.26 + -6.3. Let w = 1.04 + y. Put 0.5, 11, w in descending order.\nAnswer: 11, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0.159, -3, -27.\nAnswer: -27, -3, 0.159, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**3 + 7*o**2 + 4*o - 36. Give t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1461441 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44 is divided by 39?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 11*v - 128. Let c be h(12). What is the third derivative of -l**c - 149*l - l**3 + 147*l - 2*l**2 + 12*l**3 + 4*l**3 wrt l?\nAnswer: -24*l + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 - (-144)\/(-8))\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -669 + 671. Suppose 4*z = -q + 109, q - 22 = -z - q. Suppose 2*b - z = -0*b. Calculate the greatest common divisor of b and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 3*m + 12 = 0. Let i = m + 0. Let t be (-9600012)\/8 - i\/(-2). Round t to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*j - 1 + 4*j + 0*j + (13 - 21 - 13)*(-2*j + 2 - 2) + j + 0*j - 2*j.\nAnswer: 40*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = q - k + 11, 21 = -3*q + 3*k. Is 15 a factor of q\/(-18) + (-7414)\/(-99)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (118512\/27)\/8 + (-2)\/(-6). Let n = j - 235. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 375, 381, 397, 429, 483, 565, 681, 837?\n\"Answer: r**3 - r**2 + 2*r + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1154 + 1155. Which is the closest to s? (a) 0 (b) 1 (c) -0.4 (d) 0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 14*k + 22. Let s be j(-10). Let f = 55 + s. Let u be f\/18*8\/(-14). Solve -4*q - 14 = -2*w - 4, 0 = u*w + 2*q + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/38 - 10692\/(-5643). What is the closest to -2 in 23, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/3*(-54)\/198?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 + 265*c**2 - 288*c - 5847. Let i be f(-266). Suppose 5*a = 3*a - 12. Let t(s) = -5*s + 5. Let b(r) = -4*r + 4. Calculate a*b(n) + i*t(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(32\/372))\/(25\/(-60)*24\/40).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 - 3. Let r = f - -15. What is the units digit of 6\/r - (-24 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**(-16)*k**(-4)\/k*k*k*k)\/(((k*k\/(k**17*k*k*k))\/k)\/k**(-2\/5)))**(25\/3) assuming k is positive.\nAnswer: k**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 - -6. Suppose w*l + 0 - 10 = -2*v, 4*l = -3*v + 18. Suppose -u - l*u - 5*q + 115 = 0, 3*q - 59 = -2*u. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -c1 + b32?\nAnswer: a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -30149\/18 - -1675. Sort 2, -1, o, 0.1.\nAnswer: -1, o, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (-14 - -20) - (0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, v: 1, x: 3, d: 1}. Give prob of picking 1 d and 3 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) 163.4 (c) 0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-1)\/(-2))\/((-4)\/344). Let u = n + 67. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(2\/15)*l**(4\/3)\/l)**(-13) assuming l is positive.\nAnswer: l**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -1\/2*p + 31\/2 + 1\/2*p**3 - 31\/2*p**2 = 0 for p.\nAnswer: -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 5*f + 0 = 15, -4*f = -2*b. Suppose 4 = -m - 2*z + 6, 2 = b*m + 2*z. Solve -r = 3*p - m*r + 10, -5*r - 2 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1802.84 * 15.3\nAnswer: -27583.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 252913011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l - 4*l - 33 = 0. Let x = l + -7. Let z(v) be the second derivative of -v**3\/6 + 3*v**2\/2 - v. Determine z(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(192)*-1)**2*-2 - (0 + sqrt(192)*2*-2).\nAnswer: -379 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18 + -12 + -1 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (8*2\/(-28) - -2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c**2 - 8946*c + 513196. Determine g(57).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 62254403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -105 - -65. Let f = h + 106. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/143880 and 53\/303864.\nAnswer: 165605880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -2*3861\/520 + (-3)\/(-5) and -7\/74.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5 times -0.0281\nAnswer: 0.01405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d + 3. Let i be u(0). Solve 0 = -5*x + 4*j, -i*j = -7*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-1))**17)**(3\/22) assuming g is positive.\nAnswer: g**(-51\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-12)\/(-10))\/((-5)\/(25\/7)). What is the closest to -2 in 3, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -461 + 834. What are the prime factors of z?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -165805 = 99*o - 166795 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-26016)\/(-15) - 6\/15. Let q = 236 + 598. Let d = q - z. What is d rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 0*v + v**3 + v + 3*v**3. Let f be x(1). Suppose -f*t + 0*t = -30. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**2 - 5*q - 4. Let i be 33*-1*(-3)\/9. Let r(w) = 14 + i + 3*w**2 - 32 - 9*w. What is -7*b(x) + 4*r(x)?\nAnswer: 5*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -5*d**3 + d**2 - d - 1. Let b(f) = -6*f**3 - 2*f. Let q(k) = 3*b(k) - 4*l(k). Let q(z) = 0. What is z?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 260 in 25, 2\/15, 1, 4, -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -437040 = 58*s - 78*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82 minutes before 3:05 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -95 - -55 - 7 - -24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express o**3 + 0*o + 0*o + (1 - 2 + 3)*(5*o**3 - 4*o**3 - 2*o**3) + 147 - 78*o**3 - 147 in the form u*o**3 + p*o**2 + g + c*o and give u.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -3*c**4\/7 + 21*c**3 - 972*c**2\/7 - 84*c + 3936\/7 = 0.\nAnswer: -2, 2, 8, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 161651.\nAnswer: 7, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 3*i**2 - 3*i + 7. Let r(n) be the second derivative of -n**4\/12 + n**3\/6 - n**2\/2 - 2*n. Let p(l) = -g(l) - 4*r(l). Calculate p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + 0. Suppose s = -j + 14, -j - 4*j - n = -s. Suppose -u = 1 - s. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 4*y = -16. Let i = 8 + y. Let x(a) = -a**2 + 6*a - 6. List the prime factors of x(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from {u: 9, j: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2 - 5)*15\/(-3). Suppose 4*q - g = -q. Let f be (3 - 2) + (-5)\/3. Which is the closest to f? (a) 1\/12 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/10 - 24\/(-15). Suppose c*b = b. Suppose 543*h + 12 = 538*h + 62. Solve 2*j - p - h = b, 15 = 3*j - 2*p - 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 82448, 3, 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0\/((-6)\/3))\/2. Let s(w) = -w + w - 4 - w**3 + m*w + 6*w + 5*w**2. Does 14 divide s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3*(-16)\/12 + 4. What is the closest to v in 3\/5, 3, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(612)*-3*6 + sqrt(612))**2.\nAnswer: 176868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -y - 3, 4*b - 4*y = 0. Suppose -1392 = -t - b*t. Round t to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 221 - 123?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 99 - 71 = 4*c. Solve 20 = -2*r + c*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -353*a**3 + 6*a**2 + 14*a + 7. Let u be h(-1). What is the greatest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - (4 - 6)) + -1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*a**5 + 7*a**5 - a**5 + (-24 + 2*a + 60 - 31)*(5*a**4 + a**2 - a**2).\nAnswer: 24*a**5 + 25*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -15224*g**3 - 16582*g?\nAnswer: -91344*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s**2 + 40*s + 952 = 0. Calculate s.\nAnswer: -14, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {g: 3, h: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 522 a factor of 1772779036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-59)\/118)\/(15\/(-310)*3\/(-9))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -512*o**3 - 7*o**2 - 12*o - 33. Is s(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2391, -4756, -7069, -9300, -11419, -13396?\nAnswer: -15201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -388124, -776225, -1164276, -1552253, -1940132, -2327889, -2715500, -3102941?\n\"Answer: 4*h**3 + h**2 - 388132*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dl when two letters picked without replacement from {d: 4, f: 2, z: 2, l: 1, y: 3, g: 6}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the first derivative of -h**3\/12 + h**2\/4 + 3. Find x such that c(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/(-2)*2 - (-80 + -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-21) + (-156)\/315?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0\/3 + 90\/(-12)*-38. Let o = 276 - m. Let c(n) = -n**2 - 10*n - 17. Give c(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -386589, -386434, -385971, -385032, -383449?\nAnswer: -381054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -1152 and -1.16.\nAnswer: -1153.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1593852\/340 - (-9)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 2*f + 160*f**3 - 7*f - 151*f**3. Let a(u) = -u**3 + u. Give -5*a(y) - m(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-65)\/3)\/(36\/54)*(-20)\/(-25).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 12667*d**3 - 108*d**2 + d + 21766711?\nAnswer: 38001*d**2 - 216*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -3*k + 4*k - 6*k**3 - 6*k**2 + 3*k**3 as h + o*k**2 + b*k**3 + f*k and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/14)\/(-3*(-12)\/108)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (9191 + 7963 + 5380 - 5534 + 3887)*(-5 + 2*b + 5) to s + u*b and give u.\nAnswer: 41774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 14) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*o**4 - 2*o + 2*o)*(307 + 193 - 59) + (-3 + 6 - 4)*(-3*o**4 + 2*o**4 - 2*o**4) to the form k*o + m + c*o**3 + j*o**4 + z*o**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 28107 = u, 3*q + 3*u - 8692 - 33476 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -466817, -932266, -1397715, -1863164?\n\"Answer: -465449*i - 1368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 31*a - 437. Is 6 a factor of k(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2847347 + 2847347.039900321. Let y = -0.0399 + l. Round y to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 8*l - 45. Let g = 166 - 159. Let i be q(g). What is the third biggest value in 3, i, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2302201660 a multiple of 820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = 536 - 528. Find the common denominator of (-9 - (-120)\/d)\/(702\/16) and 53\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -2*a**3 - 6*a**2 + 5*a + 6. What is the units digit of o(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 3*b + 0*b + b - 2*b. Suppose w + w = 4. Let o(h) = -w*h**2 + 13*h**2 + 0*h**2. Give k(o(i)).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 4*p + 19 = 2, k = -p + 3. Suppose a + 2 = 2*a. Let f = k + a. Solve -f = 3*c + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tl when two letters picked without replacement from {l: 2, e: 7, t: 11}?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s - 0*s - 46. Let a = s + -26. Calculate the greatest common divisor of a and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -485007 divided by 26.\nAnswer: -485007\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/s**(-3\/4)*s\/s**(-3\/5))\/((s*s*s*s**(-1\/21)*s*s)\/(s**(1\/18)*s)))**(17\/2) assuming s is positive.\nAnswer: s**(-11713\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes before 5:36 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -16, -107, 1, 0.1, -23\/170?\nAnswer: -23\/170","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in 305.08, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -13*w. Let l(c) = -2*c + 36. Let v(q) = q - 164. Let h(a) = 5*l(a) + v(a). What is i(h(x))?\nAnswer: 117*x - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put together 1497.12613 and -103127.\nAnswer: -101629.87387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is (-591338)\/(-20) - 4 - (-3)\/30 - 2 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the second derivative of 27*j**5\/100 + 13*j**4\/5 - 78*j**3\/5 + 48*j**2\/5 - 1358*j. Factor c(g).\nAnswer: 3*(g - 2)*(g + 8)*(9*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -195380 not equal to 685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2086 is divided by 466?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*m + 3 - 3)*(-2 - 4 + 1) - 93*m - 369*m + 6*m.\nAnswer: -471*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3.206339 + 0.70634. Let g = -2.5 - v. What is g rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express c - 4*c**4 + 7 + 5*c**4 - 4 in the form v + o*c**3 + t*c**4 + j*c + g*c**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -7*r + 3*r - 21 - 29 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11\/(23716\/(-42))*(-16)\/12.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 5, -0.1, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 36382, 145394, 327080, 581440, 908474?\n\"Answer: 36337*c**2 + c + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -2112000200 (base 3) to base 5.\nAnswer: -3041330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-1\/3))**(-20))**(-4\/9) assuming b is positive.\nAnswer: b**(-80\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 538457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**2 + 2884*o - 25861. Give q(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-27)\/(-9) + 0 + -2. Let v(p) be the first derivative of 2\/27*p**3 + x + 1\/6*p**4 + 0*p - 2\/9*p**2. Determine m so that v(m) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*l - 4*a + 377, 7*a + 190 = -61*l + 66*l - 209 for l.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1 + 2 + 1 + 0. Let a be n*(100\/(-16))\/(-5). Solve -l - 2*q = q - a, -5*l - 2*q + 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 86, 179, 272, 365, 458?\n\"Answer: 93*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/(-12) - (-9)\/4. What is the remainder when -1 + u + -2 + 71 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - 16*b - 12 = -13*b, -4*b = -5*x + 35 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 3*y**2 + 6*y + 4. Let q be ((-160)\/112)\/((-1)\/(-14)). Let g be 0 - (-25)\/(q\/4). Let o(n) = 2*n**2 + 5*n + 3. Determine g*o(b) + 4*w(b).\nAnswer: 2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -6416, -24058, -53462, -94628, -147556, -212246, -288698?\n\"Answer: -5881*r**2 + r - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 56 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -238, -480, -734, -1006, -1302, -1628, -1990, -2394?\n\"Answer: -v**3 - 235*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 2 p, and 1 e when four letters picked without replacement from {m: 3, e: 4, p: 6, u: 6}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-i + 6*i - i)*((4*i - 2*i - 3*i)*(-3 + 3 - 3) - 1 + 1 - i) to the form m + p*i**2 + w*i and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -5*u**2 + 15995*u + 48030 = 0.\nAnswer: -3, 3202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the third derivative of -11*l**7\/630 + l**6\/36 + l**5\/15 - 5*l**4\/36 - l**3\/18 + 14*l**2. Find i, given that s(i) = 0.\nAnswer: -1, -1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 16703 + -451031\/27. Find the common denominator of -59\/33 and b.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -2*x + 3*m, -2 + 0 = -x + m. Let g = x + -1. Solve -4*c = 4*u - 10 - g, -u + 15 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.76605 millilitres in litres?\nAnswer: 0.00076605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6\/8*2\/6. Let p = 37\/4 - 197\/20. What is the smallest value in p, y, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from upccpuppik. Give prob of picking 1 c and 1 i.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13553 is divided by 12868?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 84 and 346536.\nAnswer: 2425752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h - 4 = i, 3*h = -27*i + 26*i + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**9\/r*r\/r**2)\/(r*r\/(r*r\/r**(2\/7))*r*r**(3\/5)))\/(r**12*r**(-6))**(-41) assuming r is positive.\nAnswer: r**(8789\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -66 - -99. Suppose -v*b = -38*b + 1985. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 - (-6 - -15) - 1) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 + 4*l**2 - 29*l - 35. Calculate z(-8).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2\/3)\/(4\/18). Let y(i) = -i + 12. Suppose 2*c - 10 = 2. Let w be y(c). Solve 4*j - o = -v - 1, -4*j + w = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -10707 - 4*p - 10712 + 21416 - 118*p**2 as f*p**2 + m*p + i and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 13396 + -3?\nAnswer: 13393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (25*g**2 + 7*g**2 - 11*g**2)*(3*g - g - 4*g)*(-2 + 5 + 1)*(0*g - 3*g + 2*g)*(0 + 8 - 2).\nAnswer: 1008*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lllylllllyylllllylyl.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.4 (b) 2\/3 (c) 2\/5 (d) -0.12 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 1\/3, -11, 0.05, -4 in decreasing order.\nAnswer: 1\/3, 0.05, -0.4, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 7427040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.003154 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/618*(-119)\/((-6426)\/(-81))?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 2*a**2 + 4*a - 95. Give z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -4*x + 4*x + 2*x - 12 - 4*x. Suppose -4*v = -6*y + y + 3, -20 = 4*y. Let t be n(v). Solve -t*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and -0.0138105.\nAnswer: 0.0690525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of -991708842 and 0.2.\nAnswer: -198341768.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 60476*z**2 + 2*z - 8*z**3 + 16278*z**2 + 10*z**3.\nAnswer: 2*z**3 + 76754*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve k = 5*r - 58, -18544*k - 5*r = -18546*k - 61 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**2 + 30. Let d(f) = -f**3 + 25*f**2 - 46*f + 11. Calculate the remainder when i(0) is divided by d(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -102000 (base 3) to base 7.\nAnswer: -603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7 + 20. Let f = l - 12.7. Let p = 0 + f. What is the closest to 1\/2 in -2\/9, p, 2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - -1. Suppose -11*b + 92 = 37. Solve -z*a + 8 = -4*s, b*a = -2*s + 4 + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the second derivative of -z**7\/560 + z**6\/60 + z**5\/16 - 5*z**3\/6 + z**2\/2 - 53*z. Let a(j) be the second derivative of n(j). Factor a(m).\nAnswer: -3*m*(m - 5)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) 2\/27 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -6 + (42 - 31).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6 - -52. Let q = -76 + c. Calculate the remainder when 41 is divided by (-428)\/q - (-2)\/9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 15\/(150\/(-20))*3\/18\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 169650727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.2 + -14.2. Let r = y - -19. Let t = 4.6 - r. Sort t, -0.1, -4\/9, 0.\nAnswer: -4\/9, -0.1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -292299*b**2 + 56806*b**2 + 41300*b**2 - 318214*b**2.\nAnswer: -512407*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 p, and 1 q when three letters picked without replacement from qqppz.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -3*x**2 - 6*x - 12. Suppose 2*a + 0*a - 8 = 0. Suppose 4*u - 16 = 3*u - 2*l, 0 = a*u - 3*l - 9. Let s(p) = p. Let g(n) = u*s(n) - b(n). Factor g(h).\nAnswer: 3*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 55*r**2 - 28*r + 209. What are the prime factors of l(10)?\nAnswer: 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m - 1. Let j be f(1). Let h be -3 + j + 6 + 1. Suppose -w = -h*x + 4*x, 2*w - 3*x = 0. What is the second smallest value in 0.1, w, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/(-8) + 75\/4. Suppose 27 = -2*l - 3*d, 2*d + r = -4*l - 23. Let z(n) = -n**3 - 9*n**2 - n. Give z(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 306*m - 540 = 300*m. What is the third derivative of -15*d**3 + 5*d**3 + 10*d**3 - 61*d**6 + m*d**2 - 343*d**2 wrt d?\nAnswer: -7320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = m**3 - 36*m**2 - 780*m + 760. What is n(51)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 7, r: 1, l: 1, z: 3}. What is prob of picking 2 y and 1 l?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:58 AM and 2:22 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 31604.908 - 31656. Let z = y - -51. What is z rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x + 2*z + 1087 - 1102 = 0, -65 = 13*x + 4*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(117) + 2 - (sqrt(117) + (3*sqrt(117)*3 - sqrt(117))))**2.\nAnswer: -192*sqrt(13) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1617 is divided by 784?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 - 126 = 3*n - 5*z, -3*n = -3*z + 81. Let i = n + 45. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1070.000001315 - -1070. Round i to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 888 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:07 AM and 11:02 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-71 - 72 + 134)*(-29 + 29 + 12)*(-w - 1 + 1 - 2 - w + 2 + (4*w - w - w)*(0 - 1 - 1))*(5 - 5 - 1).\nAnswer: -648*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2046 is divided by 696.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4.1057 - -3.1057. What is the fourth smallest value in -0.1, 3, h, -21.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**5)**(-4)*(p*p\/((p\/((p*p**(-11))\/p))\/p*p))**(-16) assuming p is positive.\nAnswer: p**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -3*g**2 - 1 + 2*g**2 + 3 - 275*g**3 + 4*g**2 + 4*g. List the prime factors of o(-1).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 12487 + -1834?\nAnswer: 10953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1221121 (base 3) in base 13?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -2*h**3 + 52*h**2 + 141*h - 2349. Calculate a(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 135409 = 7*n + c + 2*c + 135779, 0 = -4*c + 20 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4326352.\nAnswer: 2, 59, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j. Let v be g(-5). Suppose 2*p + 452 = 2*x, 3*p + 114 = -v*x + 1220. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -3*j**3 + 4*j**2 - j - 1. Let q(i) = -8*i**3 + 11*i**2 - 3*i - 3. Calculate -4*q(h) + 11*r(h).\nAnswer: -h**3 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -2*a**5 + a**4 - a**2 - 8*a - 5. Let k(v) = -9*v**5 + 6*v**4 - 6*v**2 - 39*v - 24. Let w(h) = -24*d(h) + 5*k(h). Suppose w(i) = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**5\/3 + 8*m**4\/3 - 8*m**3 + 32*m**2\/3 - 16*m\/3.\nAnswer: -m*(m - 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 6166*g = 6169*g + 2*o - 1, -g = -4*o + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-4\/19)\/n)\/(n*n*n**20\/n*n))**(1\/20) assuming n is positive.\nAnswer: n**(-441\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 411*u - 25. Calculate b(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-5083)\/13685)\/(12\/84)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 8, d: 2}. What is prob of picking 3 p?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - l + 1 - 48, 0 = q - 5*l - 39. Let h(s) = s**3 + 3*s**2 - 30*s - 12. Let r be h(-7). Calculate the greatest common divisor of q and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 14\/6*(-17 + 20). Suppose -8*l = -i*l - 15. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - ((1 - -1) + 0 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/23, 1\/5, -6\/31 in ascending order.\nAnswer: -6\/31, 2\/23, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1*((196\/14)\/(-14))\/((-2)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) 3\/5 (b) 3 (c) -3\/5 (d) -2 (e) 0.04 (f) 50 (g) -56\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/31 (b) 2\/19 (c) -6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7523 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z when two letters picked without replacement from vzvzzvzz?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -83774979053 - 4.\nAnswer: -83774979057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1824863 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2084*w**3 + 33*w**2 - 519591*w wrt w?\nAnswer: -12504*w + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26208 is divided by 8699.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 261 = -1481. List the prime factors of j.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -3*r + 2. Solve 0 = 2*l - 7*l - t + 23, 0 = -l - r*t + 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 13b + 105a?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-5 + (3*sqrt(147)*-6)**2 + sqrt(6)\/(sqrt(22)\/(sqrt(77)\/sqrt(7)))*3).\nAnswer: 9*sqrt(3) + 142869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -43 - (1 + (9 - 23 - 1))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*o + 2*o - 3*o)*(-2*o + 3*o + o)*(2*o - o + 0*o) + 264*o**3 - 490*o**3 + 489*o**3.\nAnswer: 261*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/1 + -1 + 2. Suppose -15 = -j*g - 2*g. Suppose g*i = -0*i. Solve i = y + 4*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -54*(-11)\/99 - -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -70 + (-7 + (0 - -26) - (4 + 2)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -6*j**2 + 16*j + 864. Let v(o) = 2*o**2 - 6*o - 288. Calculate -3*p(h) - 8*v(h).\nAnswer: 2*h**2 - 288","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1429*a**4 - 713*a**4 + 0 - 37*a**2 - 717*a**4 - 3 to the form w*a**4 + v + t*a**3 + m*a + c*a**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -2*g + 20. Calculate j(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/(-1)*140\/(-840).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o + 0*o - 4*o)*(-o - 2*o**3 + o) + 92*o**2 - 92*o**2 - 9*o**4.\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 681, 648, 587, 492, 357?\n\"Answer: -a**3 - 8*a**2 - 2*a + 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -2*s**4 - 6*s**3 - 2*s**2 + 6*s + 4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 5 + 11 + -11 + 8\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 1031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6465 a factor of 2379957648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -3547\/194413 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0005974316 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43745 is divided by 2735?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 3, -28, -9 in ascending order.\nAnswer: -28, -9, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-4)\/(-6))\/(2\/(-3)). Let i be -4*(4 + -3)\/4 + -20. Let p be i\/(-27) + n + 0. Sort 1, p, 2 in decreasing order.\nAnswer: 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -280 * -175.263\nAnswer: 49073.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the first derivative of -f**3\/3 + 1. Suppose 5*u = 4*u - 2, -3*s - u + 19 = 0. Let v(a) = 2*a - 13*a + s*a. Calculate v(l(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be 105\/49 - 72\/63. Sort i, 7, 10.\nAnswer: i, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31229 divided by 31229.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 4*z - 18. Suppose -2 = 2*d - z. Suppose -r + d + 13 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 divided by -61145034\nAnswer: -7\/61145034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z**2 + 16*z + 4. Let q be w(-16). Suppose -100 = q*c - 0*c. Calculate the remainder when 49 is divided by -10*(c\/10 - 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 3809*i - 45. Is l(32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 172090246 - -15.\nAnswer: 172090261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**3 + 6*c**2 - 6*c - 5. Let u be y(5). Let d = 12 + u. Let r be (-2 + d + 4)*1. Solve r*f + 4 = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 28 = -5*b. Suppose 2*r - 9*s = -5*s + 18, 5*r - 51 = 4*s. Calculate the remainder when (b\/14)\/((-1)\/40) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -46*a**3 - a**2 + 2*a + 2. Suppose -14*z + 73*z + 52 = 7*z. Calculate s(z).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/48*(-2)\/(-9))\/((-5)\/30).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -277 + 289 = 6*g. What is the closest to -0.2 in -38, g, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 - -1 - (65 - (-38 + 138))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-39)\/(-6)*(-8)\/(-962).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) 0.4 (b) 0.05 (c) -3\/2 (d) -443\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 21546, 21564, 21574, 21570, 21546, 21496?\nAnswer: 21414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2857 + -1786. Let w = y - 679. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -5, 4, -573, -7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 22699986769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -47*n + 390 = 32*n - 14*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**3 - 7*h**2 + 34*h. Give m(-11).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the first derivative of -2*k**4 + k**3\/6 + k**2\/2 - 12*k + 21. Let x(w) be the first derivative of s(w). Let g be x(-1). Is g smaller than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aaaaa. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-2\/11)\/(h*h\/(h*h\/h**(-1\/2)*h)*h*(h\/(h\/(h\/h**(-1\/2))))\/h))\/(((h*(h*h\/h**(3\/4))\/h*h*h)\/h**(-1))\/(h**(-1\/10)*h**(-1))) assuming h is positive.\nAnswer: h**(-1217\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5509 (b) -1\/5 (c) -16 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 634*f - 467*f - 904*f - 2 as q + r*f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 46226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -1006403 - -7.\nAnswer: -1006396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 9, q: 5}. What is prob of picking 1 t and 2 q?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -331616, -1326493, -2984628, -5306021, -8290672, -11938581, -16249748?\nAnswer: -21224173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 1 = f. Let j(y) = y**2 - 18*y + 67. Let o be j(5). Solve -6 = f*v + t - 6*t, -3*v + o*t = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -4 - (-15)\/(-25)*(-15)\/2. Which is the nearest to -1\/6? (a) 0 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**3 + 6*c**2 + 5*c + 13. Let l be u(-4). Let s = 122 - l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -17\/150 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 15, -428, -4, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1.81 times 0.05?\nAnswer: 0.0905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 248*x - 123*x - 130*x. Let z(s) = -5*s - 2 + 2 + 4*s. Calculate z(q(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4.4 - 0.6. Let i = -0.18 + 0.14. Let t = i + 0.24. What is the biggest value in b, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 1 y when three letters picked without replacement from aiaiy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be (28\/(-42))\/(2\/(-24)). Calculate the highest common divisor of 88 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1670972277 to the power of 1\/2, to the nearest integer?\nAnswer: 40878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*j + 2*j - 22. What is z in 0*z + 0*z**2 - 1\/2*z**5 + 0 - 2*z**3 + j*z**4 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 3, a: 2, f: 4, p: 4, u: 1}. What is prob of sequence afa?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*g**3 - 37144 + 37144.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4559409 is divided by 115?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 3*x + 15, -5*x - 15 = 5*b - 0. Let g be -2 - 1 - 0 - (-28)\/10. Is g at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 558249 to the power of 1\/2, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -2.36*0.1\nAnswer: -0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 104 and 1832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -4*a**2 + 26*a - 20. Let c be i(5). Solve -c*o = -6*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1792352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/((b\/(b**8\/b))\/b)*b**(1\/3))\/(b\/b**1)**11*(b**8*b*(b*b**(2\/7))\/b)\/((b**6*b)\/b**(-2)) assuming b is positive.\nAnswer: b**(181\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-56)\/(-245))\/4 + 15313192\/140. What is o rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 6 + -14?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.36, 1\/2, 61\/3, 0.11, 18\/11, 8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.3904 - -1.2. Let m = k + 0.33075. Let p = -0.14 + m. Round p to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 22 = l, 3*i - 3*l = 9 + 69. What is the remainder when 166 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*a + 312\/5*a**3 - 2\/5*a**5 - 72\/5*a**4 + 0 - 64*a**2.\nAnswer: -2*a**2*(a - 2)**2*(a + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -206303*x**6 + 4002337*x**2 wrt x?\nAnswer: -24756360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -450 divided by -5.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4393*z + 10 = 10*i - 4397*z, -3*z = 5*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1810840?\nAnswer: 2, 5, 17, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 25181 and -0.6?\nAnswer: -15108.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 41 = -24. What is the remainder when a is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 459*f**3 + f**2 - 5*f + 5. Let n be a(1). Let g = n - 441. What is the remainder when 74 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 576 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) -5 (b) -98 (c) 5 (d) 4 (e) -5\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -2*c**2 + 6*c - 6. Let h(d) = -d + 1. Let l(r) = -6*h(r) - u(r). Let o(w) = 157*w**2. What is l(o(k))?\nAnswer: 49298*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + (7 + -27 + 10 - -18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54\/(-90)*(-20)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -102724 * 141\nAnswer: -14484084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 103797 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.6 and -273267040128.\nAnswer: -273267040127.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ntj when three letters picked without replacement from ntrtsngjnjsjsnn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*m - 22 = 38. Solve 4*t + 1 = q, q + 2*t - 10 = m*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.17 (b) 282 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1*(5 - 4) - -36. Let p(m) = -m**3 + 2*m**2 - 4. Let r be p(3). Let x = r + i. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*j - 21*j = -10*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 - (-12 - -19))\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -306 (base 14) in base 12?\nAnswer: -416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i**2 - 45437232*i - 129033878238864 = 0. What is i?\nAnswer: -5679654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -119.03546674 rounded to 0 dps?\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-4)\/h**(3\/8))\/(h**2)**(1\/3) assuming h is positive.\nAnswer: h**(-121\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 2 e, and 1 h when four letters picked without replacement from {a: 1, e: 2, k: 1, h: 1, s: 3, n: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -127, -222, -317, -418, -531?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-495)\/1210*1*18\/(-81)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2933?\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*t - 13*t - 2*q = -26, 4*q = -4*t + 40. Solve t = -2*g - r, 4*g = 3*r - 1 - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 26381 and 8680200?\nAnswer: 269086200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -18*x. Let j(i) = -5*i. What is j(r(n))?\nAnswer: 90*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 9993980479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let d = -273.5 + 273. Suppose 4*h + 49 = -0*h - 3*x, -4*h = -4*x + 28. Let u = 19\/2 + h. What is the closest to u in -2\/7, d, 3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -151*j = 16*j + 128*j + 359*j - 49050 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 + -1. Let o = -1.92 - 0.08. Which is bigger: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12 + 3590 + 3 + 8\/2?\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 431 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*m - 65 + 65)*(-3*m + 7*m + 0*m + (-2 + m + 2)*(-5 + 4 - 1))*(5 - 5 - m).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in -1\/2, -1\/10785, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.05 (b) -3573 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 + (-5)\/(-4) + 8\/(-16). Let h = 2208655\/341 - 6477. What is the smallest value in -4, n, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 181\/51269484 and 33\/6664?\nAnswer: 102538968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5 - 1. Find the third derivative of -16*h**4 + 11*h**4 + 5*h**s + 3*h**2 + 2*h**6 wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 16695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -114343173*b**4 + 48719905*b**2 wrt b.\nAnswer: -2744236152*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 212442668?\nAnswer: 2, 1289, 41203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 102002202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 9 = -1. Let j be (2\/7)\/(k + -1). Sort 1\/7, j, -2\/3.\nAnswer: -2\/3, 1\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r**3 - 2 + 2)*(221 - 173 + 608).\nAnswer: -1312*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 166, 338, 510?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 10, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*5\/(-6) + 96\/63?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(33)\/sqrt(3) - sqrt(11))*-5)**2 - (sqrt(55)\/(-1*sqrt(5)))**2) + 1)*-4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*h - 3*h + 4760 = 1344. Calculate the remainder when 215 is divided by h.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 627 (base 11) in base 10?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 77428a1 + 5?\nAnswer: 77428a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -18 + 23 + 54 - 32\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -50*c - 6*c**3 - 2\/5*c**4 + 0 - 30*c**2 = 0. What is c?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**3 + 6*p**2 + p - 2. Suppose l - 5*l = 3*x - 47, -l = -5*x + 40. Let z(n) = -13*n + 120. Let i be z(x). Determine d(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-444)\/9990 - 22\/(-45)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-28)\/1 - (198 + (-230 - -61)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -10*l - 404. Let w(n) = -5*n - 242. Let b(z) = 3*m(z) - 5*w(z). Give b(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*h - 28*h - 2997 = 13*h + 689 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**8)\/(d**10*d))**(-1\/10) assuming d is positive.\nAnswer: d**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -106\/270375 and 19\/1320?\nAnswer: 23793000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1\/8, 1.33, -5.\nAnswer: -5, -1\/8, 1.33, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssclff. Give prob of picking 1 l and 1 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.026 take away 542?\nAnswer: -541.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 6*f**3 + 6*f + 6. Let b(x) = 5*x**3 + 5*x + 4. Calculate 4*b(d) - 3*r(d).\nAnswer: 2*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 1232 * 1.\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 2*n = 60347 + 146634, -4*o - 4*n + 275968 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (7436\/2704)\/((5\/(-100))\/(12\/(-10)))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2922400.\nAnswer: 2, 5, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 76120020 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**3 + 3*n - 2. Let c(x) = -x**3 + 4*x - 3. Give 2*c(g) - 3*p(g).\nAnswer: g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*-6*(-3 + sqrt(3)) + -1 + (-5*(sqrt(6)\/sqrt(2) + sqrt(3)))**2.\nAnswer: 24*sqrt(3) + 227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {l: 1, g: 1, x: 3, u: 4, i: 3, f: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - (-2 - (6 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = a**2 + 4*a. What is u(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {w: 1, f: 1, h: 1, r: 1, d: 1, m: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 25615, 43450, 61287, 79126, 96967, 114810, 132655?\n\"Answer: y**2 + 17832*y + 7782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:17 PM and 8:30 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h**2 - 162600*h - 17039925 = 0. What is h?\nAnswer: -54095, -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**3 + 8*f**2 - 6*f - 2. Let r be k(-9). Which is greater: -28 or r?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*n + 5*n - 36 = 0. Let m be (7 - 3 - n) + -1. Solve -6*x + x + 5 = m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -3.1 and -6.05.\nAnswer: -9.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 82 is divided by 3\/(-21) + (-148)\/(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -4*w**3 - 30469056*w**2 + 30469084*w + 182814360 = 0.\nAnswer: -7617265, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -3*h + 33. Let r = -7 + 13. What is the greatest common factor of h and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 23685 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -1.3, -27854, 3 in increasing order.\nAnswer: -27854, -1.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 - (4 - -3) - 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 11*m**2 + 10*m + 18. Let x be q(-8). Suppose 0 = 11*c - x - 832. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 + -9 + 7 + 10 + -3 + 6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8 and 85208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/15190 and 49\/135?\nAnswer: 410130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 126 divide 15372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4\/5*(-175)\/(-14). Suppose l = -2*r - 3*r. Let m be r\/(-8) - 3\/12. Solve -b - 9 = -m*z + z, 0 = -2*b + 2*z - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 492 and 408.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 + 4. Let f = n - -4. Let x(h) = -3*h**3 - h**2 + h + 2. Let k be x(-2). Solve -37 = 4*q + f*t, t = 5*t + k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, n: 1, z: 1, e: 2}. What is prob of picking 1 n and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -40359 divided by 33?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 92 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/(-9) - 42\/(-18) - 2. Let k be -80 + -2 + 0 - -1. Let s = k - -565\/7. What is the closest to s in -0.1, g, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**2 + 14*z + 17. Let l be j(-12). Let r be (49 - 16899\/344)\/((0 - -2)\/(-20)). What is the second smallest value in -5, l, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = 1 - 0. Suppose -2*l = -24, -43*m + 78 = -46*m + 6*l. Sort m, -11, p in ascending order.\nAnswer: -11, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 14 + -20. Let c(q) = 1807*q + 13. Let z be c(b). What is the hundreds digit of 1 - ((-2)\/12 + z\/42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 divided by 753508\nAnswer: 3\/376754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -23 - -23. Suppose f*i - 49 = -i. Calculate the highest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 150726 is divided by 89?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the third derivative of w**6\/120 + w**5\/15 + w**4\/8 + w**3 + 32*w**2. Give h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8235.22 * 0.491\nAnswer: 4043.49302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -238, -477, -716, -955, -1194, -1433?\n\"Answer: -239*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -169 + 1185\/7. What is the closest to 0 in -0.2, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.1, 1\/5, -4, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -a79 (base 11) in base 15?\nAnswer: -5b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 24\/(-10)*((-41288)\/832 - (-9)\/(-24)) and 230.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 228111 and 351.\nAnswer: 2052999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -421 - -1196. Suppose 2*x - 4*q = -x + j, -5*x + 1261 = q. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.02966571 to four decimal places.\nAnswer: 0.0297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**3 - 4*c**2 + 5*c - 2. Suppose -18*b = -16*b + 10. Let f be l(b). Let z(u) = u**3 - 2*u - 2. What is z(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -48 = 18*v + 2*y + 2*y, -47*v + 7 = -43*v - 5*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1011, 1333, 1645, 1941, 2215, 2461, 2673?\nAnswer: 2845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/4 + 81\/36. Let i be 0\/(2 + r + -5). Suppose 3*x = x + 10, -3*m - x + 14 = i. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.1 from -80835.\nAnswer: -80834.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 268\/5 + 2\/5*v**4 - 54*v**2 - 26*v + 26*v**3 = 0. What is v?\nAnswer: -67, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17 + -20. Let j be (-23)\/l - 4\/6. Let u = j - -4. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -154 + 274. Let g be 2504\/z + (-2)\/(-15). Is 4925\/35 + 6\/g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/19 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -209 - 871 + 635 = 110*q + 1535 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 5581, 3924, 2271, 622, -1023?\n\"Answer: 2*h**2 - 1663*h + 7242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uccs when four letters picked without replacement from {c: 5, s: 2, u: 7}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1839 or 14?\nAnswer: -1839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*-2*(3*(sqrt(432) + (sqrt(432) - (sqrt(432) + -2)) + -4 + sqrt(432) + sqrt(432) - (1*(sqrt(432) - 2*sqrt(432)) - sqrt(432))))**2.\nAnswer: -972360 + 21600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 3 = -x - 3*x, 5*x + 5*p = 0. Suppose -3*y = -2*r + 2*y + 21, 0 = -5*y + 25. Suppose -r = x*w - 59. Solve 5*h - w = -4*g, 4*g + 4 = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 7, -2\/11, -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 216 + -194. Let t be 4\/b - (-3)\/(231\/1064). Solve m = 4*m - 5*v + t, 2*v + 4 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.45373 times 3.2\nAnswer: 4.651936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -t**2 - 3. Let a(p) = 2*p**2 + p + 6. Let f(g) = 4*a(g) + 7*u(g). Let j(b) = -5*b - 4. What is 6*f(x) + 5*j(x)?\nAnswer: 6*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 25 = -5*x. Let p(t) = -9 + x - 2 - 2*t. What is p(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -319183, -638492, -957799, -1277104, -1596407, -1915708?\n\"Answer: f**2 - 319312*f + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 35095 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*p - 30*p + 12*p = -3*o - 120, 2*p - 54 = -3*o - 174 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 336 - 333. Suppose -a*f + 27*f = 384. Calculate the greatest common divisor of 1168 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 5*d + 10 = -5*a, 0 = 4*d + 2*a - 10. What is the nearest to 6 in d, -19, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 70 - 90 = 0. Suppose -3*l + 60 = 4*n, g = n - 5*l + 2. Suppose -5*b + u + 47 = 17, 0 = b - 5*u + n. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-20)\/(-110) - 19\/44\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -95 = -9*z + 4 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -8296 + -1.1\nAnswer: -8297.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 - -21. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -36*m**3 - 5*m + 4. Let b be k(1). Let f = 112 + b. Suppose q - f = -4*o, q + 2*q = -o + 181. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2*2\/8)\/(2\/(-4)). Is 1\/132 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 48777 and 630.\nAnswer: 49407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from wttwttzttzt?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 3858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -98*y + 4 = -99*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 + (-12 - -10) + -8 + (-1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 659730 to the power of 1\/2, to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 56024337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let p = -436 - -438. Suppose -p*g = 5*d - 883, -9*d - 1752 = -4*g - 5*d. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 5, d: 2, n: 7, j: 5}. What is prob of sequence dj?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -451 and 1?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6 in 3\/7, 2\/3, 3\/5, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor i**3\/10 - 729*i**2\/2.\nAnswer: i**2*(i - 3645)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -2334*w + 16*w**2 + 2352*w - 8*w**3 + 6*w**3 = 0. What is w?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -5 - 6*h + 2*h**2 - 7*h**2 + 4*h**2. Let d be i(-6). Let q(w) = -w**3 - 4*w**2 + 4*w + 3. Does 2 divide q(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3643 + 392.1244?\nAnswer: -3250.8756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 4*s**3 + 9*s**2 + 5*s + 6. Let n = -5 + -1. Let k be v(n). Let o = k - -2297\/4. What is the common denominator of -65\/2 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.4 times -9978228\nAnswer: 13969519.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10740, 43008, 96768, 172008, 268716, 386880, 526488?\nAnswer: 687528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 661\/(13\/13) + 5 is divided by 117?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(-14) - 10\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 5 + -1 + -2 - -6. Suppose 0 = -2*c - u + 2, -2*v - 4 = 4*c. What is the derivative of 5*h**3 + 10 - 5*h**3 - 6*h**v - 4 wrt h?\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/2 of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -3*t**2 - 11*t - 13. Let c(x) = x**2 - 1. Let p(w) = -2*c(w) - l(w). Calculate the remainder when p(-11) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*g + 28 = 24*g. Calculate the remainder when 109 is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 0 - 12*c - 16*c.\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 682, 1376, 2066, 2752, 3434, 4112?\n\"Answer: -2*j**2 + 700*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4185890.\nAnswer: 2, 5, 19, 22031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 5 = -0*n, 0 = 3*z - 5*n + 5. Let f = 329 + -6249\/19. Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1066.64 - 20142.05?\nAnswer: -19075.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -n**3 - 5*n**2 + 15*n + 9. Give x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 56\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the third derivative of -1\/1260*g**7 + 0*g + 1\/120*g**6 + 0 - 14\/9*g**4 + 207*g**2 + 32\/3*g**3 + 1\/15*g**5. Factor d(t).\nAnswer: -(t - 4)**3*(t + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40069 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 6*j**2 + 7. Let b(q) = -4*q**2 - 5. Let m(c) = 7*b(c) + 5*d(c). Let p(f) = -f. Let s(k) = k. Let h(z) = -4*p(z) - 6*s(z). What is h(m(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 592 minutes before 12:04 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 - (1 + 0)\/(-1). Suppose -5*a = 4*o + o - 25, 0 = 4*a - 8. Suppose -o*v - 7 = f, 4*f + v + 4 + 2 = 0. Is f < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 + 1)*-1 + -3 + 23. Let a be (i\/48)\/((-3)\/(-2)). What is the closest to a in -5, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (258\/(-172))\/(4 - 4121\/1040)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-3*sqrt(153)\/sqrt(81))**2*-4*-3.\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1452\/20*36725\/585. Which is greater: 4558 or r?\nAnswer: 4558","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, 3, -3, 1, -12, 0, -221 in increasing order.\nAnswer: -221, -12, -3, 0, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -29, -55, 1133 in increasing order.\nAnswer: -55, -29, 1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wipmx. Give prob of picking 1 x and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be 29\/(-2) + (-21)\/(462\/(-11)). Let s(b) = -b**2 - 13*b + 24. Determine s(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 15) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/9, -3142, -4410?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*m**2 - m**2 - 2 + m**2 + (2*m + 0*m - 3*m)*(0 + 0 + m))*(-1 + 1 - 2)*(13*m + 52*m + 71*m) to z*m**3 + t*m**2 + c*m + s and give z.\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*h + h + g, -g = 5*h - 8. Suppose 6 - 4 = -h*v. Put -4, -5\/4, v in descending order.\nAnswer: v, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*n - u + 118 = -609 + 228 - 78, n + 4*u = -14 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/4 and (-1804)\/(-1344) + 0 + (-4)\/7.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -511 and 43?\nAnswer: -21973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 53121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 611 a factor of 17460547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 4, -231, -1, -6 in decreasing order.\nAnswer: 4, -1, -4, -6, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -5, -558\/7, -6\/11 in decreasing order.\nAnswer: 0.3, -6\/11, -5, -558\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000086274807 rounded to 7 decimal places?\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2*(-3)\/18*0. Let q be p - 38 - 0\/(-1). Round q to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 3, -1\/9, 15?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -19 + -25. Is (-13145)\/v - 2\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -72 - -123. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9018300?\nAnswer: 2, 3, 5, 23, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Are -23413 and -23413 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u and 1 l when three letters picked without replacement from {h: 1, t: 1, v: 1, l: 1, p: 1, u: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7020949 and 221.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 17 (b) -3 (c) 474 (d) -4 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 2*a = -8, -a = -33*u + 30*u + 4. Suppose u = -4*j - 2*q + 204, -3*j + j - 4*q + 96 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(475)*1*2)**2 + (sqrt(475) + 0)**2*3.\nAnswer: 3325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 48*q**2 + 33. Let v(f) = 6*f**2 + 4. Let l = 214 + -218. Calculate l*m(n) + 33*v(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-16 - (0 - -2))*-1. Let m = -16 - -3. Let z = m + c. Calculate the smallest common multiple of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z = -3*t + 24, -663*t + 665*t + 3 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let 28*c**2 + 13*c**2 - 4*c**5 - 29*c**2 + 8*c - 12*c**4 - 4*c**3 = 0. What is c?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 309559?\nAnswer: 309559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is a in 2*a**5 - 243*a**4\/4 - 4*a**3 + 243*a**2\/2 + 2*a - 243\/4 = 0?\nAnswer: -1, 1, 243\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 306 divided by 9\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 108\/51 - (210\/35 - (6 - 2)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8256.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be (6239\/(-68))\/(-1*1\/(-4)). What is the units digit of (s\/(-2))\/(-5*(-3)\/30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(2\/13)\/q*q*q)\/q)**(-42)\/(q*q**(1\/5)*q*q**(-2)*q) assuming q is positive.\nAnswer: q**(-498\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(176) + sqrt(88)\/(sqrt(8)*-1))*-4.\nAnswer: -92*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 31 + -30.9. Let m = 0.24 + -0.04. Is m less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/82 (b) -0.29 (c) 213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 80.86094 nanometers?\nAnswer: 0.00000008086094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 21*x - 15. Let w(y) = -4*y + 3. Calculate -2*i(u) - 11*w(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -21210 (b) -2\/5 (c) 89 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 2 y when three letters picked without replacement from fsyrysrffvyytvst.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -34 + 44 + -32 + -6 + 8 + -6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.0162102 and 0.3?\nAnswer: 0.00486306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttt. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/80118 and 55\/120177.\nAnswer: 240354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -38326 + 63186. What is k rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 653569 is divided by 903?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -103499*r**2 + 103645*r**2 + 38*r - 69*r + 31*r.\nAnswer: 146*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2 + (-38)\/(-20))\/(6\/(-12)). Suppose 0*o + o - 3 = 0. Suppose o = -3*p + 6*p. Sort p, 1\/3, m in descending order.\nAnswer: p, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 25, 128, 281, 472, 689, 920, 1153, 1376?\nAnswer: 1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2177*z**3 - 7*z + 5?\nAnswer: 13062*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4646 and 92?\nAnswer: 9292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 6*n - n - 15, 0 = -4*n + 2*s + 12. Suppose 3*i = -0 + n. Factor -i - 1 - 3*d + 4 + d**3.\nAnswer: (d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 21955 + -21955.16. Sort k, 7, -2\/3, -0.4 in ascending order.\nAnswer: -2\/3, -0.4, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -14 - -98. Suppose -25*p - r = -29*p. What is the greatest common factor of 14 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 3 + 3 + 0 + r. Let j be w(3). Solve -6 = 3*f - 2*n, -2*n - j = 5*f + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of n**3*z**5 - 24*n**3*z - 2*n**2 - n*z**2 + 5*z**6 - z**3 wrt z.\nAnswer: 60*n**3*z**2 + 600*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6\/(-2)*20\/15. Put -3, o, 1 in increasing order.\nAnswer: o, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-11) + 0 + 260\/22. Suppose 0 = 7*g - u*g. Let 0*z**3 + g - 6\/7*z**2 + 4\/7*z + 2\/7*z**4 = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -47\/18 and -133\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/(-36))\/((-140)\/84).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.06 + 0.11. Let v = m - -4.95. Put -5, v, 2 in increasing order.\nAnswer: -5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(224)\/sqrt(8))**2 - -3*(-1*sqrt(7) - sqrt(7))**2) + -2.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -39 + 9*b**2 + 39 - 2*b. Suppose -2*u + 4 = -0*u. What is the remainder when k(u) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -69281, -2\/7, -2\/5, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1638 and 922740.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -m + 0*m + 0*m + (0 + 2 - 1)*(4*m - 2*m - 4*m) - m + 6*m - 3*m + 11*m + 900 - 321 - 422 - 477 as r*m + u and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 573104899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8993981 is divided by 8993972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.19 - -20480127.2.\nAnswer: 20480128.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -24 or -7?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*j - 20*j = -15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/(1 - 510\/498). Let l = a - 80. Solve 0 = l*s - 2*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 53833.970323 - 53834. Round n to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 201*m**2*s**2*w - m**2*s*w**2 + 23*m**2 + s**2*w**2 - s**2 + 6*s*w**2 wrt s?\nAnswer: 402*m**2*w + 2*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10048717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = 2*y + 14, 6 = -6*q + 3*q - 3*y. Let m(c) = -32*c**2 - 3*c + 6. Let l(p) = 97*p**2 + 9*p - 21. Let w(f) = q*l(f) + 7*m(f). Factor w(i).\nAnswer: -3*i*(10*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 429 + 563*p - 204 + p**2 - 225 - 563*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -3*z - 3, 4*r - 7 = 3*z + 2*z. Solve -5*m + 35 = 5*t, 5*t - r*m = 2*t + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 160 - 156. Solve 3 = l*x + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -508468.25 to the nearest ten thousand.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-82*b - 31*b + 40*b)*(-b**3 - 3*b + 3*b)*(4 - 3 + 2) to i*b**4 + l + z*b**3 + g*b + f*b**2 and give i.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and 6.1?\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*s - 27*s + 2*s = 0. What are the prime factors of (56835\/105 - 4\/14) + s?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -6*m**2 - 30*m + 4. Let x be r(-7). Let i = 303 + x. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -24849\/4 and -6212 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -226063.77 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 17912 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -21 in 0.2, -4, 271739?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -m - 4 = 3*s - 3, -3*m + 8 = -2*s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2043 divided by -9.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -15 - -2 - -28*(-12)\/(-48)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -294694.000054 - -294690. Let j = 9 - 5. Let s = z + j. What is s rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 2 x when three letters picked without replacement from {x: 4, y: 1, a: 2, e: 2, p: 1, f: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 8566 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t**2\/3 - 42412*t\/3 - 224847218\/3 = 0 for t.\nAnswer: -10603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 - 8*q**2 - 7*q + 3. Let r be o(-7). Suppose 0*d + 3*d = -r. Is d\/(-3*(-4)\/(-4764)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1198.6762 + -1194. Round u to 1 decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 140940954 and 49056?\nAnswer: 2255055264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 3*f - 3. Let j(n) = 7*n - 130. Let y(l) = 63*l - 1232. Let q(c) = -19*j(c) + 2*y(c). Determine 2*q(z) + 5*r(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 134\/355?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15762038 + 529972.\nAnswer: -15232066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*v - 33*v = -48*v - 315 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1581.9 and -1?\nAnswer: -1581.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be -10 + (2 - 1)*(-3444)\/(-84). Calculate the highest common divisor of l and 3751.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -172229 and -0.08.\nAnswer: -172229.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10100110 - -101?\nAnswer: -10100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 245631316 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18 and 2788755?\nAnswer: 16732530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**2 - 82*t + 252. What is the hundreds digit of z(-51)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -41*g**2 + 535*g - 15. What is v(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 100010110 (base 2) in base 12?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -277, -275, -269, -259, -245, -227?\n\"Answer: 2*u**2 - 4*u - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -128*m - 105*m + 64800 = 1508*m - 121*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-1))**22*(o**(-1)*o)\/(o\/o**(3\/8)))\/(o\/(o\/o**(4\/9))*o**(2\/9))**(-1\/52) assuming o is positive.\nAnswer: o**(-7055\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ghhh. Give prob of picking 3 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 178\/112 + 10575\/(-5640)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, -0.5, 0.1, 1\/692, 4\/9?\nAnswer: 1\/692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p + 23 - 148 + 1 = -4*w - 25, -4*p - 108 = 4*w for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 23 = 9. Suppose -c + 5*c = 68. Suppose -4*g - 5*a + c = 0, 0 = 3*g + 4*a - 7 - 5. Calculate the highest common factor of h and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -25 - -28. Let u = 3 - 4. Put 0.4, m, u in ascending order.\nAnswer: u, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y - 3*j - 12 + 15 = 0, 0 = 4*y - 4*j + 44 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 90, 2, -4, 5, 8 in increasing order.\nAnswer: -4, 2, 5, 8, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*y + 18*y + 5*m - 6250, 2486 = 2*y - 5*m. What is the highest common factor of y and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(152)\/(sqrt(20)\/sqrt(5))*-6)\/((2*sqrt(150))\/sqrt(3)).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 10}. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -a55 + -12291?\nAnswer: -12d06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of 0*x**2 + 0 + 5\/6*x**4 - 18*x + 0*x**3 + 0*x**5 + 0*x**6 + 5\/28*x**8 + 0*x**7. What is the third derivative of g(c) wrt c?\nAnswer: 1200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -3*n**3 + 6*n**2 + 10*n + 4. Let p(d) = 3*d**3 - 5*d**2 - 9*d - 3. What is 5*m(q) + 6*p(q)?\nAnswer: 3*q**3 - 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes before 1:04 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*j - 7*j**2 - 2163*j**3 + 7*j**2 + 0*j**2.\nAnswer: -2163*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 459449754.\nAnswer: 2, 3, 19, 43, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 2*i**2 - i + 1. Give s(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 0.018, -11, 648 in ascending order.\nAnswer: -11, -0.4, 0.018, 648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v**3 + v**2 + 4*v + 10. Let q(j) = 2*j**3 - 2*j**2 - 8*j - 19. Let m(h) = 7*g(h) + 4*q(h). Calculate m(5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1860 and 310.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, -169, 5.\nAnswer: -169, -14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {r: 5, f: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 414 a factor of 1392696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*h + 4*y - 4, -8*h + 3*y - 2*y + 14 = -11*h - 0*y for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 70.3 + -70. Put 1, x, 0.1, -2 in descending order.\nAnswer: 1, x, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/7 + -1 + 4\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -214 (base 5) in base 6?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + x + 2*x**2 + 0*x**2 - 25*x + 12*x to the form t*x + p + q*x**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -136*i + 112*i - 144 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -4, 3*d = 5*v - 17 - 12. Let l(p) = p. Determine l(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence km when two letters picked without replacement from kyzmyzyy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 23862495 to the power of 1\/2, to the nearest integer?\nAnswer: 4885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 318272130 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -0.01, 55.1, -2 in descending order.\nAnswer: 55.1, -0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1444*38.\nAnswer: 54872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = 3*y - 24. Let a(z) = z**3 - 3*z - 2. Let u be a(-3). Let w = u - -36. Calculate the highest common divisor of w and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(-2 + sqrt(117)) + ((sqrt(117) + 1)*3 - sqrt(117)) - -6*(sqrt(117)*1 - sqrt(117) - sqrt(117))*-3)*-1)**2.\nAnswer: -720*sqrt(13) + 67417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j + 2. Let k be y(-2). Suppose 0 = 6*h + 2 - 8. Solve -k*p = -5 + h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(-1))**48*(g**(-1))**(-28))\/(g**(1\/3)\/(g\/g**2)*g\/(g\/(g*g**(2\/3)))*g**(-1\/8)) assuming g is positive.\nAnswer: g**(969\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02081525 + 0.00936?\nAnswer: 0.03017525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -172, -281, -460, -709, -1028, -1417, -1876?\nAnswer: -2405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1225350 divided by -175\nAnswer: -7002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 - 15239923827.33.\nAnswer: -15239923830.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10997583 and 1523.\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m + 6*f + 9*f - 16*f - 18 = 0, -4*f + 4 = 7*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 729551 is divided by 364552.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 173733553?\nAnswer: 7, 149, 166571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15888574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -2*u**2 + 46*u + 280. Let g be r(-5). Solve g = -h + 3*p + 2*p, -18 = 3*h + 3*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 3, c: 3, a: 9, e: 2}. Give prob of sequence eex.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*i**2 - i**2 - 9*i**2 + 3*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11 and 9207?\nAnswer: 9207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 379171028 to the nearest integer?\nAnswer: 19472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {f: 1, j: 1, d: 1, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (2156\/(-56))\/(-11)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10379?\nAnswer: 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -4412 divided by -2206\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 664 + -661. Suppose -3*r = 15*y - 13*y - 2659, k*y + 5*r - 3988 = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1692973\/281358 + 1956\/319. Calculate the common denominator of -95\/16 and m.\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 357.1639 millilitres to litres.\nAnswer: 0.3571639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -791398, -6330511, -21365246, -50643415, -98912830, -170921303?\nAnswer: -271416646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 35 - 38. What is the nearest to -3 in f, -1\/4, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 41211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2 + 17)*((4 - 3 + 1)*(0 + 0 - 1) - 1 + 0 + 3 - 3 + 1 + 4)*(0*u - 2*u - 1 + u).\nAnswer: -28*u - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 13 = -2*n - 4*f, 4*n = -2*f + 14. Solve k + n*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -245211595 or -245211596?\nAnswer: -245211596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 11677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 34.04 - 27.04. Which is the third biggest value? (a) -2\/3 (b) o (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j - 18. Let a be h(23). Solve -a*y = 4*u - 8 - 2, u - 3*y = -6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(20\/9))**(5\/6)*((n\/(n\/n**(-33))*n)\/n)**(-14\/5) assuming n is positive.\nAnswer: n**(12724\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.12 + 264.03586.\nAnswer: 263.91586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4208 or 41?\nAnswer: 4208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be 17\/((-17)\/2568) - (6 - 1). Let n = -15\/32363 - 1416884248\/550171. Let o = n - v. What is the common denominator of o and -70\/3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -41, -56, -71, -86?\n\"Answer: -15*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**3 + 8*j**2 + 6*j.\nAnswer: 2*j*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 53640 and 1080.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -25\/36672 and -1\/7640.\nAnswer: 183360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -8*j**3*q + 4*j**3*z**2 - 2*j*q*z**2 + 12*j*z**2 + 67*j*z - 346*q wrt q?\nAnswer: -8*j**3 - 2*j*z**2 - 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1111.918 + -0.2\nAnswer: 1111.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**18*n)\/n)\/n*n*(n*n**(-1\/4))\/n*n assuming n is positive.\nAnswer: n**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6788 is divided by 6747.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -38 - -46 - (-1 + 2) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -243279*o**2*s - 2*o**2 - 2*o + 8623555*s wrt o?\nAnswer: -486558*o*s - 4*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8 - 8 - n**3)*(-3*n + n + n) + 5*n**3 + n**3 - 9738*n**4 + 9770*n**4 to the form s*n**3 + m*n**4 + b + v*n**2 + h*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -335 + 337. Find the second derivative of -5 + 5 + 4*g**2 + 62*g + 80*g**w wrt g.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 539 and 3696.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 13\/8 of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 369013.6 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 220670 and 485474.\nAnswer: 2427370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**2 + 5*k + 8. Suppose -2*l - 5*b = 12, -b - 2*b = -2*l + 20. Suppose -4*m - 28 = -l. Calculate the remainder when j(m) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 54118*z + 136. Let f be y(6). What is the tens digit of 4\/22 - f\/(-286)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 3*g**2 - 48*g + 193. Let t be r(11). What is the biggest value in 0.08, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 times 219516290\nAnswer: 219516290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2887 is divided by 223.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -3585 > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2827130247?\nAnswer: 3, 1879, 167177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the first derivative of 13*w + 1\/3*w**3 - 5*w**2 + 6. List the prime factors of f(11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.26 + 0.78. Let q = o - -62.48. Let y = 63.0031 - q. Round y to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 175370 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 369879520 to the power of 1\/3, to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/9, 0.2, -2\/459, -5, 0.1, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 2, 0, -65 in descending order.\nAnswer: 5, 2, 0, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c**2 + 2. Let d(j) = 8*j**2 + 8. Let h be (-17)\/((-935)\/33)*-15. Give h*b(g) + 2*d(g).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l**3 - 38*l**2 - 52*l + 33. List the prime factors of i(-39).\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n = 5*i - 2*n - 836, 0 = 2*i - n - 335. Suppose 2*p - i = 92. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12206, -12180, -12154?\nAnswer: -12128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 33*c*i*m**2 + 5*c*m**3 - 79*c - 30403*i**2*m**3 + i**2*m + 11*i*m**4 - 256*i*m**2 wrt m.\nAnswer: 30*c - 182418*i**2 + 264*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 348 + -346. Let a(v) = 3*v**d + 10 - 4 - 6 + 0. Let u(j) be the first derivative of 8*j**3\/3 - 1. Determine u(a(p)).\nAnswer: 72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 22, 17, 711 in descending order.\nAnswer: 711, 22, 17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, h: 4, b: 1, v: 4, q: 7}. What is prob of picking 1 b, 1 h, and 2 w?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 417472*h - 39256 with respect to h.\nAnswer: 417472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -313 = -2*v + 71. Let k = v + -957\/5. Suppose -i - 4*q - 6 = 10, 0 = 5*i + q + 23. What is the nearest to -2\/7 in i, k, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 82.41754l to millilitres.\nAnswer: 82417.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*n = 15*n + 4418431 - 4417213 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2 (b) -577 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 36538?\nAnswer: 3\/36538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 203 and 220817571?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 + -2. Differentiate -o**2 - 3*o**w + 3 + 5*o**2 with respect to o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4570 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11931775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the third derivative of -f**5\/12 - 11995*f**4\/12 - 28776005*f**3\/6 + 2*f**2 + 2619*f. Suppose r(w) = 0. What is w?\nAnswer: -2399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10226 - -2.635716?\nAnswer: -10223.364284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 + 0)*(-4*y**3 - 2*y**3 + 3*y**3)*(-5*y + 5*y + 1 + 2*y).\nAnswer: -12*y**4 - 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 2 + 5)*(3*m + 2*m - 4*m) + m + 3 - 3 + (9 + 12 - 7)*(-m + 0*m + 2*m) + (-1 + 1 + 6)*(-m + m + 2*m).\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 5, v: 6, u: 1, q: 4}. Give prob of sequence vvqo.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 33*r**2 - 504*r + 876.\nAnswer: 3*(r - 2)*(11*r - 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/24 + 13\/6. Suppose t - c*t = -11. Calculate the greatest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-382 - -402) + (0 - (1 + 13)) + 0 + 60.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-32 + 0)*(6 + 231\/(-42))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 780 divided by -195?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*s + 21*s - 76536 + 73953 = 0 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 10:51 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 2*h - 444 = -469, 56 = -4*o - 3*h. Suppose 15 = -3*f + 6. Which is the closest to -0.2? (a) f (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -12e595d + 0?\nAnswer: -12e595d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least as big as 2\/14981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 51 minutes before 10:06 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 10230201 (base 4) to base 9.\nAnswer: 28340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 54 + -51. Suppose 2*b = -8, -b - 3*b = r + 7. Calculate the least common multiple of r and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 114 (b) 0.3 (c) -2\/11 (d) 3\/25 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together -1301717349 and 4.\nAnswer: -1301717345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = 409 - 408.956. Round c to 3 dps.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**2 + 11*n. Let m(i) = 2*i. Suppose 0*y - 33 = 3*y. Let h(g) = y*m(g) + 2*u(g). Let w(d) = -d**2. Give h(w(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) -79 (c) -1.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of 4.2 and 296.\nAnswer: 1243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 910 and 196070?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes after 2:01 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.17 - -1.2. Let g = 0.02999936 - w. Round g to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 1\/9, -5, -7\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1561*x**3 + 1566*x**3 - 4655*x**3 + 1526*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5, -36, -93, -176, -285, -420?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**3 + 17*z**2 + 9*z - 12. Let o be k(17). What is the units digit of o\/2 + (-10)\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 544 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1648598 to the power of 1\/2, to the nearest integer?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 18820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 1 + -9 + 0 - (146 + -233 + 49).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 + -3. Suppose -h - 2*n = -5, -2*n = -l*h + h - 1. Solve 3 = -2*x + h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -17 (b) -74 (c) 1 (d) -177 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 8508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 43*h + 8 + 0 - 18*h - 2 - 26*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d - 5*m - 32463, -m = 332*d - 336*d + 129776. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2715975 and 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -2*c + 8. Suppose 7 = -3*h + 31. Suppose c*o - 16 = -h. Solve 12 = -0*j + 2*j + d, o*d = -j + 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 35121 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**3 + 8*b**2 - 7*b + 5. Let m be i(7). Suppose m*p = 4*p. Let z(s) = -s + 13. What is the remainder when 38 is divided by z(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1158 + 46?\nAnswer: 11a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -0*t - 4. Let q = 0 + t. Suppose 0*h + q*h - 52 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/((x*x*x**6)\/x))**(2\/83) assuming x is positive.\nAnswer: x**(-12\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:56 PM and 7:19 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -153 = -6*l + 315. Suppose 316 = 3*r - 4*c, c = -4*r + l + 356. What is the smallest common multiple of r and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 28 = 5*l - 8*o, l - 2*o = 2. Suppose 4*p = 36 - l. Calculate the highest common divisor of p and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(-7) + 219\/7. Let s = -10 + t. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 72*r. Let y(f) = 2039*f**2. Calculate y(a(u)).\nAnswer: 10570176*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -19*m - 1474. Give d(-77).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**2 + 10*l + 4. What is the remainder when 84 - -36 - -76*3\/(-12) is divided by r(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -39 + 74. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2860 or -0.134?\nAnswer: -2860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 4618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -23664 divided by -51?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n = 0, -4*j - 5*n + 4*n = -8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -133 + -11?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 378755*l = 5*z + 378756*l + 27, 0 = -5*z - 2*l - 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 21664 and 95457.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 - -3. Let j = 2599\/168 + -212\/21. Calculate the common denominator of 2\/t*2328\/(-64) and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 + 2*a**2 + 2*a - 2. Let h(u) be the second derivative of 34*u + 1\/10*u**5 + 5\/6*u**3 - 5\/2*u**2 + 5\/12*u**4 + 1. Calculate -2*h(f) + 5*r(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 978848 and 104.\nAnswer: 978848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -11a1 + 16a385?\nAnswer: 1691a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-10))\/((-198)\/(-660)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 228.425g to micrograms.\nAnswer: 228425000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3 - 4*-1 - (-56 - -63). Which is the nearest to 1\/3? (a) -0.2 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -28, -24, -16, -4, 12, 32, 56?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.26 + -0.06. Let m = -8.14 + -0.26. Let f = m - -8. Which is the nearest to 1? (a) -3\/4 (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1400 and 525?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 320457 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(42)\/sqrt(7))\/(sqrt(16)\/sqrt(288)).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j - 30 = -3*j. Suppose 7*p - j*p = -6. Let w(t) = 0*t + 31*t**2 + 1 - 24*t**2 - p*t. Give w(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -24763, -49503, -74243?\n\"Answer: -24740*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q. Let t be b(-2). Suppose i + 4*d - 23 = 0, t*i = -2*i - 3*d + 27. What is the units digit of 3 - i*6\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the third derivative of y**7\/210 - 61*y**6\/20 + y**5\/30 - 3653*y**3\/6 + 86*y**2 - y - 1. What is the derivative of r(i) wrt i?\nAnswer: 4*i**3 - 1098*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:52 PM and 1:17 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -50157.2 rounded to the nearest one hundred?\nAnswer: -50200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 11773 + -11768. Let -166\/13*x**4 + 178\/13*x**2 + 56\/13*x**z + 10\/13*x - 66\/13*x**3 - 12\/13 = 0. Calculate x.\nAnswer: -1, -2\/7, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -19909 - -21045. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 2*o + 7 = 0, -25 + 28 = -3*o. Let h be (k*2)\/(2\/(-1) - 5). What is the nearest to 0.04 in -1\/2, h, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3\/7*y**2 - 300\/7 + 60\/7*y = 0. Calculate y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 72, 63, 46, 21, -12, -53, -102?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1685 - -4118. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -17482 - -17543. Solve -20*r - 79 = z for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 75 divided by -12.\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -385*j - 109 with respect to j.\nAnswer: -385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**(-5)*a*a)\/a)\/a*a**(4\/9)*(a*a*a*(a**5\/a*a)\/a*a)**(-2\/39) assuming a is positive.\nAnswer: a**(-464\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the third derivative of 7*b**6\/120 - b**5\/60 + b**4\/24 - b**3\/6 - 7*b**2. Let o = -74 + 75. Let r be g(o). Solve 3*k + r + 6 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 32 = -105*a + 103*a, -3*v - 4*a = -13. Let o be -1*9*20\/6. Let t = -18 - o. Is t not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 208370 and 208371 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 6 + -2 - (0 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -3 + 0 - 6 + 5*c**2. Let o(q) = 2*q**2 - 4. Suppose 45 = 2*a + 3*a. Determine a*o(i) - 4*g(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/648 and -167\/120?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*c + 5*w + 5295, -w + 702 = 2*c - 1422. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11049701563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1551272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 31 = -5*l. Suppose -2*p + 6*h = 2*h + 4, 4*p - 2*h + 2 = 0. Suppose 2*m - l = -d - p, 2*d = 2*m + 6. Solve 3*o - o + 10 = d*r, 0 = o + r + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*-6*(0 + sqrt(1573)).\nAnswer: 330*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 + -31?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -2*k - 46. Let p be v(-25). Suppose 2*z + 5*j = p*z - 268, 2*z - 2*j - 256 = 0. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 52\/(-3)*1086\/(-4706). Suppose -5*p + 5 = -5. Solve p*h + u = 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.062 and -0.2?\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxcrrchkxcrekrcerr. What is prob of picking 2 x and 2 c?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -10 - 5. Let t = 11 + -8. What is the remainder when ((-2)\/4)\/(t\/(-24)) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*p + 2 - p - 4*p)*(138 + 16 - 12)*(6*p + p - 2*p).\nAnswer: 710*p**2 + 1420*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*s**3 + 43021854 - 43021854 + s + 12*s**3.\nAnswer: 16*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**2 + 2*v - 2. Let f be w(-3). Suppose -5*u - 34 = 21*s - 18*s, -18 = -s + 2*u. What is the third smallest value in 7, s, 1\/3, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -1. Let x(q) = 2*q - 7. Let p(v) = -6*d(v) + x(v). Calculate p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.16 - -0.84. Let n = -0.3 + 0.6. Let z = 35\/51 + -1\/51. Which is the third smallest value? (a) h (b) z (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:57 AM and 1:17 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that -3 - 10*u**2 + 2*u**3 - 23\/2*u = 0.\nAnswer: -1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 63.2 + -63.4. Let l be (1 - (-9)\/(-3))\/(-2). What is the nearest to -2\/7 in u, -4\/7, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -17847 and -0.0246678.\nAnswer: -17847.0246678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = 17051 + 15084. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 203 + 6*c + 128 + 5*c.\nAnswer: 11*c + 331","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -483, -484, -485?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 12779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(1\/2)*t*t**3\/t)\/(t**4\/t**(-4)) assuming t is positive.\nAnswer: t**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 27568975 or 27568971?\nAnswer: 27568971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 9 = 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 14992 less than 0.07?\nAnswer: -14991.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -59 - -102. Let f = -17550 - -17675. Calculate the remainder when f is divided by v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-42)\/(-2)*(-288)\/1944)\/((-2)\/9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*z + 8*z - 18749 = -4*t, -z - 4681 = -t. What is the greatest common divisor of t and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*w - 3*h, -w + 5 = -2*h - 0. Suppose -8*y + 6 = -w*y. What is the lowest common multiple of y and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 148098610 divided by 110\nAnswer: 1346351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -38 + 10. Let c be (-14)\/f + (-74)\/4. Let t be 14\/(-49) - (c\/14 + 1). Solve t*a - 5*a + r = -20, a - r = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 4*i + 38 = 0, -2*i - 1 = -7. Let w be 4\/f + (-7)\/5. Which is the biggest value? (a) 3 (b) w (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a\/(a\/(a\/a**(-2\/9)))))\/(a\/a**(-1\/6)))\/(a**(-3\/5)*a*a\/(a**(-1\/2)*a)) assuming a is positive.\nAnswer: a**(-103\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.5 (b) 18\/7 (c) -0.1 (d) -0.4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1914262 or -1914265?\nAnswer: -1914265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -12*m**3 - 495*m**2 - 127*m - 172. What is n(-41)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -29*v - 34. Let f(a) = 9*a. Calculate f(c(t)).\nAnswer: -261*t - 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 7) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 19120534 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -c84 (base 13) to base 3.\nAnswer: -2221010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**2 - n - 4. Let o be k(3). Suppose 2*v - 2*c - 104 = 0, c = o*c. Suppose 2*l - 16*l + 11 + 241 = 0. What is the remainder when v is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 360 (base 10) to base 7\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 615, 2864, 6651, 11976?\n\"Answer: 769*a**2 - 58*a - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2149 divided by -8.\nAnswer: 2149\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 + 1)*(-46*o + 1303 - 1303) + (5 - 1 - 2)*(-o + 2*o + o)*(2 + 5 - 6) to the form q + h*o and give h.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -86999*z**2 - 1. Let b be -4*((-12)\/16 - 0). Suppose 0 = -0*g + b*g - 3. Let v be k(g). What is v rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -101*k + 45. Let m be g(-8). Let i = m - 520. Do i and 332 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 117 + -353\/3. What is the nearest to -1 in g, 2\/7, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 88 and 312588364?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1417\/7 - 202. Let o(p) = p + 2. Let a = 5 + -8. Let k be o(a). Is k < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7*g**3*u - 110*g**2*u - 17*g*u + g + 4*u - 5 wrt g.\nAnswer: 42*g*u - 220*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 10\/72 - -4*7\/252\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -3*2\/(-21) + (-2604)\/(-147). Suppose -22 = -5*s + o, 2*o + 3*o = 2*s - y. What is s rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34730 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -468\/18558133?\nAnswer: -468\/18558133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - 0. Let z be (1\/q)\/(1\/(-40)). Let a be 80\/14*245\/14. What is the highest common factor of a and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 4038496*p - 2 + 3 - 4038464*p. Let o(x) = 0*x - 6*x + 3*x. Calculate n(o(m)).\nAnswer: -96*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*r + 5*o - 10, 2*r - 6*r = 2*o - 10. Suppose r = 7*p - 11. Calculate the common denominator of 7\/2 and 122\/24 - (3 - p).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-3)\/4 + (-318)\/(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 24 = -0*c. Let k be 2\/8 + 3518\/c. Suppose d - 95 = -2*z + 4, z + k = 5*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + 456*k = 450*k - 13, -3*p = -2*k - 55 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nkg when three letters picked without replacement from {g: 1, m: 1, b: 1, k: 1, n: 2, x: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.2 from -20206461205.\nAnswer: -20206461204.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 302*s = 162*s + 11037 - 26997 for s.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 985 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand y**5 - y**5 + 2*y**5 - 4*y**5 - y**5 + 6*y**5 + (-y - 3 + 3)*(0 - 2*y**4 + 0) - 2*y**2 + y**5 + 2*y**2 - 10*y**5 - 9*y**5 - 3*y**5.\nAnswer: -16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 849 by -233.\nAnswer: -849\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 21948*t**2 + 1 + 16926*t**2 + 2.\nAnswer: -5022*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-24)\/(-360)*(-180)\/24)\/((-1)\/86).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -2*x - 20. Let l(v) = -v**2. What is r(l(k))?\nAnswer: 2*k**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 11105355683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 682 minutes after 6:12 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -1615*l + 6211 = 61*l - 34013 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 980 = -32*d + 27*d. Let z = d + 644. What is the highest common factor of z and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from qjtsfss?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 623 + -627. Sort g, 3\/5, 1, 15 in ascending order.\nAnswer: g, 3\/5, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 85*k**4 - 12 + 39 - 30*k**3 - 39 - 3*k - 86*k**4 to j + l*k + y*k**4 + f*k**3 + d*k**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-y + y + y)*(2 - 2 + 2*y**3) - 3 + 3 + 7*y**4 + (0*y + y + y)*(2*y**3 - 2*y + 2*y))*(1 - 1 + y).\nAnswer: 13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iia when three letters picked without replacement from iaaaia?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 7*m**2. Let v(t) = 20*t**2 + 1. Determine -17*h(n) + 6*v(n).\nAnswer: n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the third derivative of 1\/30*n**6 + 0*n**4 + 0*n + 17\/3*n**3 + 0*n**5 - 33*n**2 + 0. Differentiate m(i) wrt i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -241*u**3 - 438*u**3 - 544*u**3 + ((u - 2*u + 2*u)*(1 - 1 + 1) - u - 3*u + 8*u)*(0*u**2 + 4*u**2 + 4*u - 5*u) to l*u**3 + o*u**2 + h*u + m and give l.\nAnswer: -1203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2920207*r**2*z**3 - 11*r*z**3 - 3*r - 7192*z**3 wrt r?\nAnswer: 5840414*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*i + 42*i - 4*m = -4, -13 = -2*i - m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 916933743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the first derivative of 50*v**7\/7 + 28*v**3\/3 - 8. Find the third derivative of j(t) wrt t.\nAnswer: 6000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that 2*w**2 - 6*w**4 - 14*w**4 - 32*w**2 + 27*w**3 + 4*w**3 + 24*w**3 = 0.\nAnswer: 0, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 4*d**2 + 37*d + 124. Give i(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (-1 + (2 - -7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2086 + 454 = -147*y - 3363 + 1199 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6154, -6154, -6152, -6148?\nAnswer: -6142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -763*o + 772*o - 468 = 0. Calculate the smallest common multiple of 156 and o.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-20)\/(-984)*((-32)\/6)\/(-8). Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 + 15 = 6*w. Find the first derivative of 29*k**4 + 17*k**4 - 43 - k**w wrt k.\nAnswer: 180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - (3 + -1) - (-2 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -24 + 24. Let x(y) be the third derivative of 0*y + s*y**3 - y**2 + 0 + 1\/60*y**5 + 1\/24*y**4. Let l(t) = t**3 + 9*t**2 + 9*t. Give -2*l(g) + 18*x(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Do 65.349 and -21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -350988*h + 175500*h + 3 - 3 + 175491*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*s + s - 2*s, 4*x - x + 2*s - 24 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*x - 99 = -169 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 6 - 1022*z + 964*z.\nAnswer: -58*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 4, d: 4, j: 9}. What is prob of picking 1 d and 1 j?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 252572789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(-2)*87\/348?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * 21137101.\nAnswer: 8454840.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 11db45 (base 14) to base 5.\nAnswer: 124123004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1244 divided by 5.\nAnswer: -1244\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 100403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -1949 less than -0.102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes after 2:36 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -10, 1597, 3210, 4829, 6454?\n\"Answer: 3*w**2 + 1598*w - 1611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**(1\/2)\/l)\/(l*l\/l**(-2\/7)))**46)**29 assuming l is positive.\nAnswer: l**(-26013\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -3315a6 + 2?\nAnswer: -3315a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -1*-1*(332 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 32027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 9 = -0*r. Solve -27 = 4*s - r*j, -5*j + j + 11 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*m + m - 3*m - 2*m - 3*m + 3*m + (2 + 1 - 4)*(m + 0*m + m) + 0 + 0 - 2*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 2*g. Let s = 110 - 65. Let r(f) = -13*f - 39*f - s*f + 65*f. Calculate r(j(z)).\nAnswer: -64*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 1, l: 1, n: 2}. Give prob of picking 2 n and 1 l.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = -6, -3*t - 10*n = -7*n - 12555. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 0*x - 3*x - 6 = 0, 0 = -2*x - 4. Suppose b - 20 = -4*w. What is the smallest common multiple of w and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -67744204 times -4?\nAnswer: 270976816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/1)\/((-14)\/3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h**3 + 6*h**2 + h. Let v be s(-6). Let n be (4\/v)\/(1\/(-6)). Suppose -5*k - 13 = w, -n*k = 3*w + 2*w - 19. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -4*c + 23, 2*c + c - 14 = p. Let a = 23 + c. Let r be (-1232)\/(-6)*3\/2. What is the highest common factor of r and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 2 k, and 1 l when four letters picked without replacement from llklgkddkllkllddld?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be 5\/(15\/8)*495\/22. Suppose 48 = d*m - 54*m. What is the least common multiple of 24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 27 + -28.4. Which is greater: m or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1311 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -37*i**2 + 11. Let x be c(5). Let m = 1562 + x. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 1 - 3 = 0. Let b be j*-6*4\/(-2). Solve 0 = 4*n - 4*l - b, l - 4*l - 6 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in 4, -15\/19, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 14604919193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z + 3. Let f = 16 - 13. Let t be k(f). What is the third derivative of -38*p**4 + 3*p**t + 38*p**4 - 2*p**2 wrt p?\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n. Let h(u) = -258*u**2 + 7*u - 1. Let w(z) = -h(z) - 6*v(z). Is w(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 21, 0.2, -2\/9, 0.4 in ascending order.\nAnswer: -2\/9, 0.2, 0.4, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(0 + sqrt(13) + sqrt(13) - sqrt(13)))**2 + 5 + (-2 + sqrt(13))**2 - (5 + sqrt(13) + 0 + (-3*-2*sqrt(13))**2).\nAnswer: -399 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 176409*l - 88211*l - 88200*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 plus -16187954335073?\nAnswer: -16187954335073.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence puw when three letters picked without replacement from {w: 2, u: 1, p: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-19))**(-3) assuming o is positive.\nAnswer: o**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -16, 28, 4 in increasing order.\nAnswer: -16, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/13)\/((-15*(-34)\/(-16575))\/(3\/(-15)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4.3 + 2.2. Sort -0.4, v, 0.4 in decreasing order.\nAnswer: 0.4, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = y - 58 + 59, -5*x + y - 106 = 23 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 7*c**2 - 37*c - 148. Let z be t(8). Let j(f) be the first derivative of 22 - z*f - 17\/2*f**2. Differentiate j(m) wrt m.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 60 divide 8049576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (21\/((-2205)\/(-30)))\/((-18)\/(-1071)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 30 + 32 = 0. Solve -z*m = -5*v - 8, -v = m - 5*m + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 4*w**2 - 3*w - 4. Let u be 63\/(-15) + 2\/10. Let q(f) be the third derivative of f**5\/20 - f**4\/12 - f**3\/2 - 4*f**2 - 4*f. Determine u*o(h) + 5*q(h).\nAnswer: -h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 411*a**2 + 6*a - 5. Is b(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 50, 103, 156, 209, 262?\n\"Answer: 53*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -97dc + -32?\nAnswer: -9830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -11682 and -29849?\nAnswer: 18167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n**2 + 3*n - 5. Let y(h) = 7*h - 7. Let d(x) be the first derivative of 2*x**2 - 4*x - 3. Let u(g) = -5*d(g) + 3*y(g). What is 3*u(o) - v(o)?\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/6*690\/69.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*z + 8 = 65*z. Let m = -1507\/3 - -27059\/54. Find the common denominator of (306\/(-54))\/(0 - z) and m.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-161)\/(-69)*108\/(-54)*3\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2084863303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 72712 is divided by 2578.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - n - 40 = 0. Let q be ((-8)\/60)\/(12\/n). Which is the smallest value? (a) 0 (b) q (c) 0.5 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 330\/36 - 2\/12. Suppose 0*w - g = 3*w. Suppose -u - 6 = -3*o, 0 = -0*o + 3*o + 2*u - 15. Put -1, w, o in decreasing order.\nAnswer: o, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (69 + 312 + 77 - 83)*(8 - 5*y**5 - 8).\nAnswer: -1875*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 5*l - 16 = 0, 2*b = -b - l. Let z be -6 + b - (-20 + 556). Round z to the nearest 10.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24818 is divided by 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -421 = -4*b + 79. Suppose -5*p - 3*c + b = 0, p - 2*c + 18 = 2*p. Calculate the remainder when p is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence btt when three letters picked without replacement from {b: 4, t: 5, w: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:52 PM and 11:34 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is b in -1\/9*b**3 + 40\/9 - 53\/9*b + 14\/9*b**2 = 0?\nAnswer: 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 90254693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -84316.453 rounded to the nearest 100?\nAnswer: -84300","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Expand ((2 - 2 + 2)*(7 - 3 - 2)*(4*y + 0*y + 2*y)*(11 - 53 - 13) - 4*y + 10*y + 4*y)*(3*y + y - 6*y).\nAnswer: 2620*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1090\/13 + -84. Let o be (154\/(-120))\/11 - 110\/825. Which is the nearest to -1? (a) o (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-14)\/(-119) + (-606)\/(-51). Let m be ((-72)\/(-10))\/(h\/(-40)). Is (-2332)\/m - (-2)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(1\/7)*s*s**(-2\/5)\/s*(s*s**(-1\/4))**(21\/2) assuming s is positive.\nAnswer: s**(2133\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 24.41570785 - 0.41570955. Let c = 24 - a. Round c to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**3 + 17*g**2 - 15*g - 10. Let z be l(16). Solve -z*i + 25 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.943 + -5.767. Round l to one decimal place.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-15)\/(-35))\/(-22*(-9)\/1386). What is the smallest value in 2\/5, 2\/13, 1\/2, r, -841?\nAnswer: -841","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73*w - 4*v = 76*w - 8665, 3*w + 5*v - 8660 = 0. Is 2895 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2*t**2 + 4 + 3*t - 2*t**3 - 5*t + t. Let b(l) = -l**2 + l + 1. Suppose -5*q = d + 13, 4*d + 2*q + 1 = 3. Let v(k) = d*y(k) - 6*b(k). Factor v(a).\nAnswer: -2*(a - 1)**2*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 - -4) + -1 - (-23 + 27 - 7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 2*h**2. Let y(b) be the third derivative of 0 - 3\/20*b**5 - 9*b**2 + 0*b**4 + 0*b + 0*b**3. Give y(z(t)).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10*d**2*k**5 + 4*d**2*k**4 + d**2*k**2 - 2*d**2*k - 176*d*k**2 wrt k?\nAnswer: -600*d**2*k**2 + 96*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add 450 and -334.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 - 112?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.514, -0.095, -16 in descending order.\nAnswer: -0.095, -0.514, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 421\/62 or -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 11) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**2 + 2*f + 1. Let z be u(2). Suppose 0 = o - z - 4. Let y(l) = l**3 - 4*l**2 - 6*l + 7. Let m be y(o). Solve -m = 4*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 556*g**3 + 530*g**3 + 257*g**3.\nAnswer: 1343*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(121)\/(2*sqrt(11)) + sqrt(88)\/(sqrt(200)*-2 + sqrt(200)))**2.\nAnswer: 396\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2) + (sqrt(40)\/sqrt(5) - sqrt(2) - sqrt(2))**2 + 2.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 78 - 72. Solve 43*d**3 + 2*d**3 - x*d**4 - 41 - 102*d**2 + 95 + 45*d = 0 for d.\nAnswer: -1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -57 - -81. Suppose -3*u + 96 = -i + 5*i, u + v = i. What is the units digit of -2 - (i\/2)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(66)\/(sqrt(6)*-3) + -1.\nAnswer: -sqrt(11)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, j: 4, p: 11}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -5, 2, 4.406, 4, -0.08, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 10*z**4 - 5*z**4 - 10*z**4 + (-z**3 - z**3 + 0*z**3)*(-5*z + 3*z + z) + z**4 + 4*z**2 - 4*z**2 - 2*z**4 + z**2 - z**2.\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-15)\/(-6) + -2)\/(17\/(-68))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ilkkkkii. Give prob of picking 2 i and 1 l.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60535 is divided by 19939?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - c + 9 = 0, 2*i + 4 = c - 2. Let s(u) be the third derivative of 4*u**5\/15 - u**4\/12 - u**3\/3 - 534*u**2 + u. Give s(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 95 = 3*g + 2*p, -4*g - 5*p + 128 = -3*p. Let a = 30 - g. Let l(d) = -11*d**2 + 2*d - 10. Let q(j) = 2*j**2 - j + 2. Let f(w) = l(w) + 5*q(w). Give f(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000001433073926 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4334 - -13490. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v**3 - 4*v**2 + v + 2. Let o be x(-4). Round o to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*n**2 + 0*n**2 + 2*n**2 + (-4*n + n + 4*n)*(4*n - 5*n + 2*n) + 35*n**2 + 8*n**2 + 18*n**2)*(-n**2 + 4*n**2 + 0*n**2).\nAnswer: 180*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 13918718 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 162.777 to the nearest integer.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t\/t**(-8)*t*t)**(-38)*((t**16\/t*t)\/t)\/(t*t*t*t**(-5)) assuming t is positive.\nAnswer: t**(-439)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -7*p + 13*p - 6*p - 2*p. Let g(c) = 1504*c**2. Give s(g(a)).\nAnswer: -3008*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 - -473. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the first derivative of -17\/4*z**4 - 9*z**5 + 0*z + 8*z**3 - 2*z**2 - 5. Factor u(r).\nAnswer: -r*(r + 1)*(5*r - 2)*(9*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = 2*d - 21, -5*d = a - 13 - 7. Suppose i - 8 = -2*r, d*r + 18 = 3*i + 6*r. Let t(c) = -c**3 + 6*c**2 - 6*c + 1. Calculate t(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-13)*b**38*b)\/((b*b*b**31*b)\/b**(4\/23)) assuming b is positive.\nAnswer: b**(-180\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -31623, -31658, -31747, -31914, -32183, -32578, -33123, -33842?\n\"Answer: -4*i**3 - 3*i**2 + 2*i - 31618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {p: 9, b: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -3003739.42 to the nearest 100.\nAnswer: -3003700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(110) + 4*(sqrt(110)*4 - sqrt(110)) - (sqrt(110) - (-3*-2*sqrt(110) + sqrt(110))))\/(6*sqrt(250)*-1 - sqrt(250)*2*5).\nAnswer: -19*sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -11 - -48?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -105 - -168. Let i = -7 + 22. Calculate the remainder when y is divided by 2\/i*-24*(-5)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**3 - 31*n**2 + 200*n - 17. Let u be y(9). Suppose -11*r + 2 - 35 = 0. Sort u, r, -7 in increasing order.\nAnswer: -7, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 112 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w = 4*i - 8, -2*i - 2*i - 28 = 4*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, -4, -3\/4, -1.\nAnswer: -4, -2, -1, -3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2141 + 1010111?\nAnswer: 1002420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c**2 - c**2 + 4*c**2)*(268 + 1 - 47 + 64).\nAnswer: 572*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (-c + c + 2*c)*(-6 - 6 + 5)*(2 - 1 - 3) + (-6*c + 9*c + 6*c)*(-3 + 2 - 1) as z + s*c and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((7\/(-84))\/1)\/(7\/105).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 28*w - 5. Is o(2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 690 and 7572290?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2274, 2249, 2198, 2109, 1970, 1769, 1494, 1133?\n\"Answer: -2*i**3 - i**2 - 8*i + 2285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27\/3 - 280\/28?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 53761 divided by 14\nAnswer: 53761\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -35 - -24. Let p = u - -15. Suppose -48 = -2*g + p*v, -3*v = -4*g - 7*v + 36. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((-2*sqrt(300)*3 + sqrt(300))**2 + -2 + (-3 + sqrt(300) + 1 + sqrt(300) - sqrt(300)*-2*6)**2)*2*-2.\nAnswer: -265208 + 2240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -3 - 1 - q**3 - 4*q**2 - 5*q + 0*q**3. Let x be d(-3). Find the second derivative of 0*s + 0*s**x - 3*s - s - 5*s**2 wrt s.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-2\/3))**(-1\/35)\/(a**(7\/3)*a*a*a**15\/a) assuming a is positive.\nAnswer: a**(-642\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kcccccckkcc.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1271*b**3*y - 2*b**3 + b**2*y - 4136*b**2 + 4*b*y + 10*b + 2803*y - 9 wrt b?\nAnswer: 7626*b*y - 12*b + 2*y - 8272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes after 1:11 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 75287867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1745063, 3490126, 5235189, 6980252, 8725315, 10470378?\nAnswer: 12215441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.2, 5, 1\/2, 1, -0.8, 1\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/5 in 12\/7, 15\/22, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11*f - 140914 + 141211 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: c14 (base 16) to base 12\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 182 and 6?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 20*g + 969. Calculate j(-49).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5 + -1. Suppose l + 5*i = 20, a*i - 5 = -2*l + 17. Suppose -l*g = -g - 48. 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 s = -24 - -27. Let c be (1\/2)\/(s\/36). What is the remainder when 18 is divided by c\/(-27) + 195\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 0, 505, -0.09, -1503 in decreasing order.\nAnswer: 505, 0, -0.09, -0.3, -1503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -56*p**3 + p**3 + 143*p**3 + (-2*p**2 + p**2 - p**2)*(1 - 2*p - 1) as s + c*p**2 + u*p**3 + z*p and give u.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a = 8*a - 30 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = p**2 + p - 2. Let l be j(2). Solve -3*i = -i - l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**3 + 7*u**2 + 5*u + 5. Let l(z) be the first derivative of z**3 + z**2 + 2*z - 5. What is -5*l(g) + 2*s(g)?\nAnswer: 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 23 + -8. Suppose 0 = -5*k + 5*r + 25, l = 2*k + 3*r - 6*r. Suppose -112 = -s - 3*n, n = -k*s + s - 132. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 630334891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -16 + 38. Let g(j) = j**3 - j**2 - 3*j + 3. Let r be g(5). Let p = r + -45. Calculate the remainder when p is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**3 - 13*o**2 + 2*o + 14. Let d(c) = 36*c + 635. Let m be d(-18). What is q(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -b**3*g**2 + 18*b*g**3 - 16*g**3 with respect to b.\nAnswer: -3*b**2*g**2 + 18*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2a44 (base 11) to base 4\nAnswer: -331100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(-2) - 3\/6. Suppose -5*y + 8 = -5*r + 4*r, f = -4*r - y + 52. Suppose 21 + 1 = v. Calculate the remainder when v is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*h + 3*h + h - 2*h**5 - h**5 - h**5 + 4*h**5 + (-h**4 + 3*h**4 - h**4)*(4*h - 5*h + 3*h) + 2*h**5 + 3*h**5 - 4*h**5.\nAnswer: 3*h**5 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 4*r. Suppose -24 = 10*q - 144. Let f(n) = 8234 - 8234 - q*n**2. What is f(d(a))?\nAnswer: -192*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -33 - -39. Suppose 3*j + 114 = 3*d, 96 = -3*d + q*d + 3*j. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 57\/659276 and 61\/54352.\nAnswer: 208331216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2256410 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (1*(sqrt(16) - sqrt(32)\/sqrt(2)))\/(sqrt(80)\/sqrt(90)) - (3 + 0 + sqrt(2) + 5 + -6*(sqrt(2) - (sqrt(2) + -3 + sqrt(2) + -1))).\nAnswer: -7*sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes before 7:27 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 56*t - 98*t + 44*t + 70*t + 10080 for t.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/11*v**3 + 51\/11*v - 54\/11 - 14\/11*v**2.\nAnswer: (v - 9)*(v - 3)*(v - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 100 - 48. Let c = 94 + -130. Let n = c + j. What is the remainder when 30 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(65) + -1*sqrt(65) + sqrt(65) - sqrt(65)))\/((1*sqrt(60) + sqrt(60))\/sqrt(12)) - (4 + sqrt(104)\/sqrt(8) - sqrt(1053)*4)**2.\nAnswer: -15941 + 280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1.66258228 rounded to two dps?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) -0.4 (c) 0.1 (d) -164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 66438 (base 11) to base 5\nAnswer: 11040412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 66614514 and 30.\nAnswer: 333072570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/(180\/56)*3\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zozogg. What is prob of sequence ozzg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 216273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5 + 7. Let x(m) = m**2 + 6*m**2 - 3*m**c. Let o(n) = 3*n. Let s(z) = 2*z. Let l(j) = -2*o(j) + 4*s(j). Give x(l(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4.87 - 0.13. Let s(r) = -5*r**3 - 253*r**2 - 156*r - 297. Let h be s(-50). What is the second smallest value in 0.13, n, h?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - 12) + (4 - 58 - -78)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -2*p - 22. Let a be c(-13). What is the highest common factor of 34 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**2 - n + 2. Let w(o) be the first derivative of 2*o**3 + 15*o**2\/2 - 24*o - 67. Let z(p) = -5*t(p) - w(p). Give z(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 94380055*g - 1 + 3 - 94380058*g.\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 8 and 0.144938245?\nAnswer: 1.15950596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*t - 20, -421*m + 422*m - 2*t = -6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-301)\/(-903))\/((-3)\/18*2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/3*((-1)\/9)\/((-395)\/(-474)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 126, 1013, 3414, 8085, 15782?\nAnswer: 27261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -200 and -0.0405.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12018 = 2*o + 3*p, -183*o - 3*p + 18039 = -180*o. Does 27 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*b + 0*b**3 + 0*b**3 + 99 - 97 - 150*b**5 wrt b.\nAnswer: -3000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.06, 0, 3\/10, 1\/40, -8\/13, -1\/3, 1\/2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q, 1 z, and 1 w when three letters picked without replacement from {q: 3, z: 1, w: 3, k: 6}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that -9*r**2\/2 - 67*r\/3 + 5\/6 = 0.\nAnswer: -5, 1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3195\/126*-2 - (-115)\/161?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -102 = -2*n - 8. Let c = -79 + n. Let m = c + 36. Solve m = 4*p, h - 3 - 1 = p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the second derivative of -3*b**5\/20 + 7*b**4\/12 - 17*b**2 - 48*b. What is the derivative of c(w) wrt w?\nAnswer: -9*w**2 + 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1167 + -1167. Which is the nearest to m? (a) -0.5 (b) 14\/17 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*l**2 + 1264*l - 1264*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express ((7*q + 2*q - 6*q)*(-16 + 10 + 11) + 3*q - 2*q + q)*(-q + 3*q + 3*q + (-5*q + 0 + 0)*(1 + 1 + 0)) in the form g + k*q + b*q**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*r - 290*r**4 + 36996 - 73926 + 36928 - 3*r**2 + (r - 3*r + r)*(r**3 - r**3 - r**3).\nAnswer: -289*r**4 - 3*r**2 + 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - 4) + 0 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -52 - -55. Suppose -25 - 80 = -g*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.038 * 10.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - (5 + -3)) + 5 - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -71505 + 181522. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 - -141?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3\/4, -4\/7, 3\/7, -1288, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (431 - 141 - 201 + 1 + 0 + 0 + (-3 + 2 + 3)*(-2 + 5 - 5))*(u - 2*u - 2*u**5 + 3*u**5).\nAnswer: 86*u**5 - 86*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -78*n - 3. Let v = 20827 - 20834. Let o(h) = -157*h - 7. Give v*j(k) + 3*o(k).\nAnswer: 75*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-1425)\/(-102))\/5 + -2. Let v = h - -681\/170. Let -14\/5*d**4 + v*d**3 - 4\/5*d - 6\/5*d**2 + 0 = 0. Calculate d.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 33 = -w, 0 = -4*w + 5*w + 3. Let k be 6\/z - ((-74)\/3 - 2). Let f = k + -2. What is the greatest common divisor of 60 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 132*o**2*s**3 + 1890*o**2*s - 2*o*s**3*x - 10*o*s**2*x - 30*s**3 wrt s.\nAnswer: 792*o**2 - 12*o*x - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3094 = 19*k + 7*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((2*(-4)\/24*-3)\/13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1331 divided by -121.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 196 is divided by 96.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-1)\/2)\/((-1)\/10). Let t(g) be the third derivative of 0*g - 1\/60*g**5 - 1\/3*g**3 + 7\/24*g**4 + 0 - g**2. Calculate t(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**2 + 6*o + 3*o - 9*o - 3*o**2. Let j(n) = 14*n. Give c(j(y)).\nAnswer: -784*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c + 5*c + 4*u + 23, 0 = 4*c + 2*u + 24. Put 0, c, -4 in increasing order.\nAnswer: c, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 4706340, 4706337, 4706346, 4706373, 4706424?\n\"Answer: j**3 - 10*j + 4706349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(20\/(-8))*(-6)\/(-24)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -360291, -720666, -1081041, -1441416, -1801791?\n\"Answer: -360375*t + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -331034639.7 to the nearest 1000000.\nAnswer: -331000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 122560866 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 78 and 215384?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7911.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1256333821 to the power of 1\/3, to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 173921786 + -173921778.87736819. Let j = -9.87736753 - m. Let n = 17 + j. What is n rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x - 3 - 3*x + 3*x. Let l be f(-6). Let i = 4 + -2. Solve -4*u - 18 = l*v, 2*u + 0*v = -i*v - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(605)*1.\nAnswer: -3 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 156\/5*k - 2\/5*k**2 + 486\/5.\nAnswer: -2*(k - 81)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(0 + 2*sqrt(1300) + sqrt(1300))**2*-4.\nAnswer: -46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**2 + 8*z + 2. Calculate s(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -1372*b + 8232. Calculate n(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 324, 439, 576, 729, 892, 1059, 1224?\nAnswer: 1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.31 + -0.31. Which is the second smallest value? (a) s (b) 2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*p + p - p)*(-86*p + 5648 - 11298 + 5642 + 0*p + 2*p + 0*p + 0 + p + 0 - 4*p - p + 3*p + (4 - 3 + 1)*(-2 + 2 + 2*p) + 0*p + p - 2*p + 0*p + p + 0*p).\nAnswer: -243*p**2 - 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -3, 2.\nAnswer: -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, p: 2, a: 1, g: 2}. What is prob of sequence gp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 418*w - 843. What is the tens digit of p(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes before 8:26 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -22 + 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 1724*a - a**2 - a**2 - 1724*a. Let u(f) = 12107*f - 2. Determine d(u(s)).\nAnswer: -293158898*s**2 + 96856*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-270))\/((1491\/63)\/(-71)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5666 = 99*m + 5995 - 6863 for m.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 41 = 64. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 - (-18 + 21) - -20.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:56 PM and 8:26 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35*w**3 + 2*w**2 - 2*w**2.\nAnswer: -35*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**2 + 9*c + 9. Let v be z(-11). Suppose -4*m = -v - 161. Find the first derivative of -20 + m - b**3 + 30*b**3 wrt b.\nAnswer: 87*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 301*w + 817*w - 102714 = -820*w for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 128 minutes before 4:02 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14607 + 14605. Put w, 1, 2, -103 in descending order.\nAnswer: 2, 1, w, -103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/5, -180\/11, -2, 2 in descending order.\nAnswer: 2, 1\/5, -2, -180\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -943 - -5659\/6. Let l(i) be the third derivative of -11*i**2 + 0 + 1\/60*i**6 + 1\/60*i**5 + 0*i - 1\/12*i**4 - a*i**3. Factor l(o).\nAnswer: (o - 1)*(o + 1)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -10713.6 + -711.17\nAnswer: -11424.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 2*n**2 - 6. Let x(i) = i + 7. Let s(m) = -m**2 - 2*m - 7. Let o(p) = -2*s(p) - 3*x(p). Let g(w) = -3*f(w) + 2*o(w). Factor g(r).\nAnswer: -2*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3 + 2 + -48)*(-8 + 7). Let h = b - 54. Is (-1)\/((-4)\/20888) - h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g**5 + 2012*g**4 - 338680*g**3 + 19301192*g**2 - 37594372*g + 18629852 = 0.\nAnswer: 1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x + 2*r - 322, x - 2*r = 3*r - 67. Let k = x + -5. Let h = k - -137. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -30\/11 and -376\/15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 480 is divided by (17\/(-3))\/((-10)\/(-36)*(-270)\/900)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0*(-3)\/12 - -3. Let l(f) = -f**v + 6*f**2 + 0*f**2 - 2*f**2 - f**2 + 2*f. Calculate l(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 54 and 373968.\nAnswer: 1121904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 - 4*a + 2*a)*(-3 + 0 + 0 + (3 - 1 - 3)*(3 - 6 + 1) - 2 - 1 + 4 + 0 - 1 + 4) + 2 + 3*a - 2 + (0 - 2 + 0)*(0 - 2*a + 0) - a + a + a + 0*a - 3*a - a.\nAnswer: -2*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2293566 and 5146?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 5238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1677 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -381 = 7*i - 8*i - 5*m, -i + 2*m = -367. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 72 and 5004?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 42677 = 5*y + 88096, 0 = y - 3. What are the prime factors of t?\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 158725 = 2060*r + 238234 + 173871 for r.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 32 + -29. Suppose -s*j = 2*j - 25. Let u be 0 - (-2 + j - 3). Solve 2*k - k - 2 = u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 3*g - 1. Let k(a) = -a. Let q(v) = j(v) + 2*k(v). Let z be 3\/(-7 - 76\/(-19)). Let l(h) = -4*h + 11. What is z*l(f) - 6*q(f)?\nAnswer: -2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2257211833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*k - 22 + 242 = 0. Let o = -75 - -113. What is the remainder when o is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.274 + -4.806. Let g = y + 0.08. Which is greater: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3313*f - 90 = 3307*f. Solve f = 18*i - 23*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 23422 - -2?\nAnswer: 23424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -12180*h**2 - 12177*h**2 + 24365*h**2. Give a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p - 2*p - 2*a + 6, 0 = -5*a + 25. Let r = -7 - p. Is r*3\/(-27)*381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 743 at least -54\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -2*r**3 + 0*r**2 + 6 + 1 - r - 1 - 4*r**2. Let f be w(-3). What is the highest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -3*x**4 - x**3 + 6*x**2 + 6*x + 2. Let a(n) = n**2 + n. Let t(y) = 12*a(y) + 4*c(y). What is m in t(m) = 0?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 297, 596, 895, 1194, 1493, 1792?\nAnswer: 2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -36 = 2*z + 5*p, -3876*p + 3873*p = 5*z + 33 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 193 - 114. Suppose x + g = 2*u, u + u - 4*x = 82. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 88*c**2 + 4*c - 10. Let d(i) = 59*i**2 + 3*i - 7. Determine -7*d(n) + 5*o(n).\nAnswer: 27*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 6*g**2 - 3*g**3 + 9*g**2 + 4*g**3 + 9*g**2.\nAnswer: g**3 + 12*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(57)\/(sqrt(9)\/sqrt(3)) - (sqrt(19) - (1 + sqrt(684) - sqrt(19))**2).\nAnswer: 10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -124 - -135. Calculate the remainder when 74 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 26*k**2\/7 + 482*k\/7 - 228\/7.\nAnswer: 2*(k + 19)*(13*k - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6564 - -4?\nAnswer: -6560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -30*i - 236 - 604. Let x be (-54)\/(-14) + (-228)\/i + -8. Solve 0 = 4*r - 3*p - 3, x*r - 13 = 3*p + 2*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 256392.297ns?\nAnswer: 0.0000000004239290625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2564, -10245, -23070, -41063, -64248, -92649?\nAnswer: -126290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the first derivative of -1251*s**2 + s - 2640. Let n(j) = -2*j. Determine b(n(p)).\nAnswer: 5004*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -2*a**3 + 2*a - 4. What is v(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3981976159?\nAnswer: 7, 47, 12103271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-264)\/(-550)*945\/(-216)*6\/(-7).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -73*i + 52*i - 147 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-7)\/(-1) + (-9 - (-15 + -4)). What is the greatest common divisor of g and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*f**3 - 4*f**3 - 9 - f**3 + 13 - 8.\nAnswer: -3*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -40 + 13347?\nAnswer: 13307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 590.39 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 118999*y + 20. Let h(f) = 118999*f + 20. Let q(u) = -5*h(u) + 6*o(u). Let m be q(20). Round m to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -5, -5, -1, 7?\n\"Answer: 2*o**2 - 6*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-91)\/(-156))\/(7\/(-56))*(-18)\/(-147).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-51)\/(-204))\/((-1)\/3). Which is the biggest value? (a) u (b) 1\/4 (c) 0.07 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 2\/7, 0.02, -5628, 7, -0.1, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y**6*y*y*y**5*y*y**6\/y**(-11) assuming y is positive.\nAnswer: y**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3*((-21)\/(-9))\/7. Let c(j) = j + 6. Let x(t) = -1. Suppose 2*r + 6 + 4 = 0, -2*y - 2*r - 2 = 0. Suppose 0 = y*o + 14 + 10. Give d*c(u) + o*x(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 + 2 = -55*t - 23*t. What is the fourth smallest value in -28, t, 2\/5, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -127\/334 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z**3 + 5*z**2 + 7*z - 1. Suppose -5*y - 3*t = t - 50, 0 = -5*y - 2*t + 40. Give g(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 4*k + 1110 + 2726 = 0, 0 = -5*i + k + 4837. Calculate the highest common factor of 462 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10954, -10948, -10940, -10930, -10918, -10904, -10888?\nAnswer: -10870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -y + 2*y + 3, -117 = -5*x - y. Let q = 713 - 710. Suppose 5*t = 10*j - 5*j + 20, 0 = q*t + 3*j. Put -1, t, -5, x in descending order.\nAnswer: x, t, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/(-11) + (-80)\/(-44). Suppose 2*c = -j*p + c + 6, -c - 6 = -2*p. Let i = 8 - p. Let a(b) = -b**2 + 3*b + 4. Determine a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 464452806 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/s**(-3))**18)**(-25\/3)\/(((s\/s**1)\/s)**(-7))**(1\/6) assuming s is positive.\nAnswer: s**(-3607\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*j - 4*j**3 + j**3 - 226138 - 4*j**2 + 226131 to s*j + h + i*j**2 + l*j**3 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -11644440 divided by 5\nAnswer: -2328888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 24814757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be (12\/(-36))\/(2\/(-24)). Suppose g*y - 61 = 3*c, -3*c = y - 7 + 3. Solve u - 3*p = -y, -4*u - 2*p = -2*u + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 442813742 a multiple of 3773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2\/23129 (b) -178 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22 + 5 + -9 + (10 - -1) + -3 + 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 4) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (16*j - 16*j + 2*j**2)*(-j**2 + 5*j**2 - 3*j**2) - 4*j**2 + 2*j**2 + j**4 - j - 2*j**4.\nAnswer: j**4 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 18914447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 71607369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 4\/97, -4\/9, -0.2, -7, 3?\nAnswer: 4\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 919202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3036 + -3025.985. What is f rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 0, 8, 38, 102, 212?\n\"Answer: 2*g**3 - g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*sqrt(99)*-2.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-64)\/(-6) - -1) + 20\/(-30). Suppose 53 = 6*v + j. What is the remainder when 33 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (118*i**4 + 221*i**2 - 225*i**2 - 109*i**4)*(-2*i + 2*i - i).\nAnswer: -9*i**5 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:17 PM and 6:38 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 70*d**2 + 141*d + 84. Let g(j) = -142*j**2 - 281*j - 169. Let p(m) = 6*g(m) + 14*s(m). Suppose p(a) = 0. Calculate a.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9.944 take away 0.02?\nAnswer: 9.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 18230474 a multiple of 788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 15 (b) 76 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 98507920 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12119511 is divided by 2423900.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 3611*d - 210. Let a(p) = 90*p**2. Calculate y(a(l)).\nAnswer: 324990*l**2 - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 2*o + 9 = 2*l, 4*o = -3*l + 15. What is the second derivative of -21*p**3 + l*p + 21*p**3 + 12*p - 14*p**4 wrt p?\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 261.166 to 0 dps.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes after 8:57 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 + 3)\/(-4 + 8\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 832*l + 45984 = 1311*l for l.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find g such that g**2\/3 + 41605091*g\/3 + 41605088 = 0.\nAnswer: -41605088, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 11*g*u*v - g*v**2 + 1393*g + 1940*u*v**2 + 23*v**2 with respect to g.\nAnswer: 11*u*v - v**2 + 1393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 430893604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(-1*sqrt(637) + -1))**2*-1.\nAnswer: -2552 - 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c**3 + c**2 + c + 1. Let s(l) = -4*l**3 + 5*l**2 + 6*l + 3. Let i(j) = 5*g(j) - s(j). Let a be i(0). Suppose 148 = a*k + 2*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2 - -82. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 114, 129, 168, 243, 366, 549, 804?\n\"Answer: 2*k**3 + k + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7 + 14. Let c(q) = 12*q**3 - 2*q + 1. Let m be 0 - 2 - (-2 - 1). What is the remainder when v is divided by c(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10201363 and 1161.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x**2 + 11*x - 308. Give g(12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence knsn when four letters picked without replacement from nnnkksnnnnnnnn?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from daa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 26, 88, 3, 4, 0.\nAnswer: 0, 3, 4, 5, 26, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2113*r**3*z - 16586*r*z**3 + 20370*z**3 + 1756*z**2 + 1 wrt r?\nAnswer: -6339*r**2*z - 16586*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/3 + 542*s + 12880\/3.\nAnswer: 2*(s + 8)*(s + 805)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v*v**(-1\/2)*v*v**(-7))\/(v*v*v\/v**(-2\/3)*v**(2\/3)*v) assuming v is positive.\nAnswer: v**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:44 PM and 11:14 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + -11 + 4 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -12876 - b37?\nAnswer: -137b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 1, p: 3, g: 3, q: 3}. What is prob of picking 1 u and 3 g?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 1816 = -164. Let k = -275 + b. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b2 (base 16) to base 3\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {i: 2, h: 2, s: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 - -4. Find the common denominator of (0 - m) + 22\/6 and 62\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 196646785?\nAnswer: 5, 953, 41269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-18)\/(-45))\/(-3 + 62\/20). Suppose 2*i - q*t = 46, -2*i + 4*i + 4*t = 14. Calculate the highest common divisor of i and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -41907.\nAnswer: 1\/13969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wunnbunnnviu. What is prob of picking 1 b and 1 v?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 49 (b) -95 (c) -10 (d) 0.65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3998 - 3016. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -4*a - 8. Calculate the remainder when h(-6) is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**2 + 47*v - 257. Let q be r(5). Solve -12 = -5*h - 3*m - 2, -m = q*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q**3 - 14*q**2 - 35*q + 50. Give p(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -13*j + 1. Let k(b) = -3*b. Let g(s) = 9*k(s) - 2*m(s). Let p be (-1)\/34 - (-12154)\/4012. What is g(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 16 - 19. Let d(v) = -5*v**3 + 8*v**2 + 11*v. Let x(f) = -2*f**3 + 3*f**2 + 4*f. Calculate m*d(r) + 8*x(r).\nAnswer: -r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88*h - 690 = -50*h. What is the smallest value in -3, 2\/3, 2, h, -323?\nAnswer: -323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 10\/4*(-1)\/(-5). Suppose -4*j - f - 6 = -5, f = 3*j - 1. Sort k, -1, j.\nAnswer: -1, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-15)*10)\/(10\/(-3)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3230833 and 834563?\nAnswer: 8263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -257 + -16\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -77586, -77556, -77526?\nAnswer: -77496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 60012067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -23048.15867 rounded to 0 dps?\nAnswer: -23048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2146018110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -5*v - 1. Let n be 18\/(-30) - 4\/10. Let d be z(n). Let u be -2*(15\/(-6))\/5. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 3*h**2. Let k be x(1). Let d be (4 - (-12)\/(-4)) + k. Solve 19 + 1 = d*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -32792*w**2. Let r(h) = 876*h. Calculate r(m(t)).\nAnswer: -28725792*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29877*a**3 + 29845*a**3 - 59723*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 + 53)*(-13 + 285\/20). Solve r = 2*i + 57 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 48.76 and -0.15?\nAnswer: -7.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9 - -5. Let l = -8 - p. Let j = 4.2 + l. Which is the closest to -1\/4? (a) -0.4 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 534*g - 1077*g - 3 + 541*g. Let c(k) = -20*k - 32. Let j(a) = 3*c(a) - 32*o(a). Let z(m) = -4*m**2. What is z(j(i))?\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 24966 divided by -438\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 26009 and 2?\nAnswer: 52018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - ((4 - 4) + (-1 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22 + -1 + -19 + -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -88 - -72 - (6 + -11 - 43)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -13802.35 rounded to the nearest ten?\nAnswer: -13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -54 + 55. Let u be k\/(-2) + (-30)\/(-12) + 5. Let c(v) = v - 6. What is c(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 5789947 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**3 - 18*w**2 + 18*w - 12. Let k be t(17). Put 4, -4, k in ascending order.\nAnswer: -4, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 2*i**2. Let q(t) = 325835*t**2 + 3*t. What is q(u(c))?\nAnswer: 1303340*c**4 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/125 of a gram in milligrams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s + s - 8*s)*(-12 - 18 - 20 - 16).\nAnswer: 264*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(150)\/(sqrt(30)\/sqrt(5)))\/(sqrt(5) - (sqrt(45)*3 + sqrt(5)) - sqrt(5)).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/(-70)*-5 + (-28)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 434436 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 3*k = -20. Suppose -s + k*y + 24 = s, 0 = -s - y - 2. Suppose -3*d = s*t - 8*d - 61, -30 = -t + 2*d. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:54 AM and 1:31 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13042 + 10418 = 204*v. Let d = -55 + 131. Let b = v - d. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*v = 10*v + 468. Let m(p) = p**2 - p + 30. Calculate the smallest common multiple of v and m(0).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -129 - -167. Calculate the least common multiple of a and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11212221022102 (base 3) in base 8?\nAnswer: 11720075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20 + -10011121022?\nAnswer: -10011121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -15*y - 70. Let m be i(-8). Let h be 400\/3*36150\/10*m. What is h rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -7*v + 1. Let g = 34 - 64. Let u be 3*(-3 - g\/9). Calculate d(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*s - 10*s - 3*k - 404 = 0, -2*s + 8*k - 7*k = -116 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -71 + 52. Let k = w - -29. Solve -5*g - 4*q - 45 = -0*g, 3*q - k = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0002081487 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -160, -158, -168, -196, -248?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -8139*p**2 + 915*p + 4068*p**2 + 4068*p**2 in the form j*p + g*p**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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 v = -10.4361 - -0.4361. Which is the second biggest value? (a) -0.022 (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -2*d + 1 - 2*d + 8*d + 5*d. Let i(z) = 10*z. Let x(v) = 4*g(v) - 3*i(v). What is the first derivative of x(s) wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 5750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -216*r**2 + 1167*r**2 - 951*r**2 + 52*r**3.\nAnswer: 52*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 + (0 - (2 + -1)) + 766 + -758.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -4 - 0. Suppose -h*u = -0*u + 4*t - 87984, -5*u - 2*t = -219992. Round u to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d, 1 t, and 1 b when three letters picked without replacement from {d: 2, r: 3, j: 4, t: 4, b: 1, q: 1}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1016, -2828, -5768, -9842, -15056, -21416?\nAnswer: -28928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5874 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1 - 9a6b32?\nAnswer: -9a6b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4549232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be (10\/(-4))\/(2\/12). Let m = y + 27. Let k be m\/18*(-9)\/(-21). Which is the second biggest value? (a) 0.4 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j = -10*j + 18. What is the greatest common divisor of 6 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 23*i**3 - i**2 - i + 7. Is y(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 2*b**2 + 63. Let l(g) = 11*g**2 - 5. Let u(v) = 2*v**2 - 1. Let f(w) = -l(w) + 5*u(w). Determine f(j(x)).\nAnswer: -4*x**4 - 252*x**2 - 3969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put together 1280 and 2.94.\nAnswer: 1282.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(112)\/(sqrt(64)\/sqrt(4)))\/(4*sqrt(24)\/sqrt(6) - -2*sqrt(64)))**2.\nAnswer: 7\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -4*q. Let o(g) = q*g**2 - 4*g - 4*g**3 + 0*g**2 + 0*g - 6. Let s(y) = -3*y**3 - 3*y - 4. What is 5*o(w) - 7*s(w)?\nAnswer: w**3 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.942 - -0.8394. Let d = 0.1025409 + q. What is d rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -22\/137 - -340\/411. Let k(m) be the first derivative of -16 - f*m**3 + 0*m**2 + 0*m. Let v(q) = -q. Determine v(k(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let o = 27.75 + 0.25. Let b = o - 28.0028. Round b to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27.31478 rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3353192 less than or equal to 3353167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -9063, -8565, -8083, -7623, -7191, -6793, -6435?\n\"Answer: -w**3 - 2*w**2 + 511*w - 9571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/24 and 48\/(-264) - 1018\/88.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -52*j**6 + 805*j**4 - 537219*j**2.\nAnswer: -6240*j**3 + 19320*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(13) - (0 + sqrt(13) + 3))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 77479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*f**2 + 5*f**2 - 4*f**2 + (2*f - f - 2*f)*(6 - 6 + f) - 2*f**2 - 4*f**2 + 4*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 48.8354 nanograms in kilograms?\nAnswer: 0.0000000000488354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 6, j: 1, e: 2, k: 11}. What is prob of sequence joo?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 506342?\nAnswer: 2, 409, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1134*m + 1611*m + 1928*m - 99*m to z*m + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 266519 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 5*l**3 + 103*l**2 - l**4 - 103*l**2 to d*l**4 + f + q*l**2 + b*l**3 + m*l and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*o + 2*u, 0 = -5*o + u - 1 + 11. Let m(n) = 2*n. What is the units digit of m(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1371, -499, 2, -7 in increasing order.\nAnswer: -1371, -499, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the second derivative of -b**6\/10 - b**4\/4 - 3*b. What is the third derivative of d(r) wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ss when two letters picked without replacement from yssswycywwscnywnwyn?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2128 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + f + 3*f + 14 = 0, -2*p - 3*f - 11 = 0. Solve 0 = k + 3*r + 3, k - p*r = -2*k + 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 - -144532?\nAnswer: 144535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*k + 38 = -12*k. Calculate the remainder when k is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40910263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -3701552.93 and -1159.173?\nAnswer: 3700393.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*j*k**3 + 41*j*k**2*n**3 + 2*j*k**2*n**2 - 7*j*n**3 - 15*j*n + 4*k**3*n**3 wrt n?\nAnswer: 246*j*k**2 - 42*j + 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1003 - 1003.008434. Round i to 4 dps.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1026344, -2052691, -3079038, -4105385, -5131732, -6158079?\nAnswer: -7184426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*d = 24 + 80. Solve -8 = z - 4*j, z + 2*z + d = -4*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 516 + -478. What is the least common multiple of 171 and d?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1425.094 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (9 - (-21736)\/48) + 1\/6. Suppose 0 = 2*r - 0*r - y. Calculate the least common multiple of r and 4.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-637)\/(-221) + ((-2)\/(-17) - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*0.092.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from psauppsupsa. What is prob of sequence aa?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let 5*u**5 + 810*u**4 + 41175*u**3 + 653150*u**2 - 780780*u - 1393560 = 0. What is u?\nAnswer: -79, -42, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -89 + 13*g + 89 - 76*g.\nAnswer: -63*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 602 - 2359\/4. What is the common denominator of 68\/15 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 7373 times 0.5\nAnswer: 3686.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 497656008 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 - 5424a1?\nAnswer: -5424a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = -4*f - 222. Let a = f - -79. What is the remainder when 29 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 149629567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -77 = -5*a - 2*q, -3*a + 5*q + 0*q = -71. Does 19 divide (-2 + 5 - 1) + a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2042*l = 132*l - 115222 for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 15 - 30062?\nAnswer: -30045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -10*d**5 - 1454*d**4 + 5330*d**3 - 5066*d**2 + 8*d + 1192 = 0.\nAnswer: -149, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 1554000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes after 7:13 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tiqitfqrrgtttqttq. Give prob of sequence iit.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 2729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 227, -0.1, -3, -13.\nAnswer: -13, -3, -2, -0.1, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*y**2 + 11*y**2 - 37*y**2 + 14536*y**3 + 3*y**2 - 14540*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -73050588 divided by 48028\nAnswer: -1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-19)\/(-2))\/(1\/(-8)). Let w = -534\/7 - t. Let q be 66\/15 - 54\/(-11880)*-88. Which is the closest to q? (a) 0.2 (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 1123*v - 2621. Give p(2).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -156 + 169. Calculate the remainder when 21 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 0 and -220\/427 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 552*o = 549*o + 5079. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 18437822?\nAnswer: 18437822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 220.824 rounded to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -17*a*d*o + 78*a*o + 40213*d**2*o + 37939*o wrt d.\nAnswer: -17*a*o + 80426*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5.05 - 4.95. What is the second biggest value in 6\/11, i, -3, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2 - 1)\/((-51)\/(-34)))\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -13 - 4*d**3 - 13*d**5 + 13 + 57*d**2 + 62*d**2 wrt d.\nAnswer: -780*d**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in seventy-one quarters of a millisecond?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -98*b - 63 = -89*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-14 - 1)\/3*-1. Suppose -h = -m - 0. Let d(y) = -y**3 + 7*y**2 - 6*y - 6. What is the units digit of d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 11 = -2*m, 0*m - 2*s = 4*m - 18. Suppose -3 = -m*t + 4. Let q(r) = -t + 0*r + 0*r + 2*r. Calculate q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z\/(z**(7\/2)\/z)))**27*(z*z*z**14)**(-2\/77) assuming z is positive.\nAnswer: z**(10331\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42290*r**3 - 14074*r**3 - 14124*r**3 - 14114*r**3.\nAnswer: -22*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*f**3 - 4*f**3 - 4*f**3 - 4*f wrt f?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -16*l**2 - 82*l + 8. What is m(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 380524 is divided by 96?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a - 5*h + 5, -a + 11 = -5*h + 31. Suppose 0 = -5*y - p + 3, -9 = -5*y - a*p + 6. Let r be y*(-2)\/6 - -3. Solve r*q = 2 - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h**3 + 15*h**2 - 37*h + 16. Determine v(11).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 31*p - 19 - 2*p + 19. Let b(o) = -o. Give d(b(v)).\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14623.\nAnswer: 7, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fqqqsfqqsqmefeyyesfs. Give prob of picking 2 s.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - 0) + 20 + -22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 76490?\nAnswer: 2, 5, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -2*p + 4. Let c be i(0). Let o(y) = 2*y**2 - 8*y. Let r be o(c). Factor 0*v**3 + 1\/3*v**4 + 0*v + 0*v**2 + 1\/3*v**5 + r.\nAnswer: v**4*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -2 and -8.5203147.\nAnswer: -10.5203147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ioijioojiooo. Give prob of sequence jiji.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 1280 = 2*l, 0 = -2*c - 10*l + 7*l + 836. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by 391\nAnswer: 1\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the third derivative of -1\/12*b**4 + 0 + 0*b - 8*b**2 - 1\/6*b**3. What is k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:34 AM and 8:13 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -88457, -88275, -88083, -87875, -87645?\n\"Answer: z**3 - z**2 + 178*z - 88635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (7\/(-5) + 1)\/((-16)\/(-80)). Which is the second smallest value? (a) -4\/3 (b) 1\/16 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -80, -100, -134, -182, -244, -320?\n\"Answer: -7*u**2 + u - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 25 + 1. Let p = j - 19. Let a = -46\/165 - 4\/33. Which is bigger: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i - k = 2*k - 10, -12 = 4*i - 311*k + 301*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1 and 3403558806?\nAnswer: 3403558807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x = -2*i, 15 + 1 = -2*i + 5*x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**3 - 39*x**2 + 172*x - 4. Let w be c(-43). Let i(p) = 5*p**2 - p + 1. Let v be i(2). Sort 1, v, w in ascending order.\nAnswer: w, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 42 = 4*c - 8, 3*c - 27 = -3*d. Let l be 10\/(-35) - (-32)\/d. Solve l*i + 20 = -3*i, -i - 19 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14160234 is divided by 1385.\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-9 - -3 - -10949) + -3*8\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 564387.\nAnswer: 3, 179, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*c = 14*c - 16. Solve -c*q = -u + 4, 2*u - 3*q = -0*q + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -1545\/33809?\nAnswer: -1545\/33809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (31 - 12 - r - 61)*(-4*r + 4*r + 4*r**3).\nAnswer: -4*r**4 - 168*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2928234 is divided by 37541.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**2 + r + 1. Suppose -2442 = 3*z - 2445. Give q(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 2 - 2)*(83*c**2 + 110*c**2 - 232*c**2) + (-3*c + 0*c + 4*c)*(3*c - 3*c - 2*c).\nAnswer: -80*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:29 AM and 12:19 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(39)\/(sqrt(33)\/sqrt(11)) + (4 + sqrt(13))**2*3 + ((sqrt(650)*2)\/(sqrt(2) - (sqrt(162)*1 + sqrt(2))))**2.\nAnswer: 25*sqrt(13) + 8752\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -2*d**2\/9 - 9092*d\/3 + 136430\/9 = 0.\nAnswer: -13643, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that 5*s**5\/4 - 225*s**4\/4 + 2175*s**3\/4 + 7925*s**2\/4 + 2100*s + 720 = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m**3 - 12*m**2 - 13*m - 2. Let x be g(13). Sort -4, 3, x in descending order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 280859445 to the power of 1\/2, to the nearest integer?\nAnswer: 16759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express ((-6 - 1 + 1)*(2 + 3 - 6) + (-5 + 0 + 3)*(-8 - 1 + 2))*(f + 5*f + f) in the form y + p*f and give p.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 4014*m**2. Let b(l) = -4*l. Determine b(d(c)).\nAnswer: -16056*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m - 195. Let v(k) = 23*k + 7. Determine v(t(i)).\nAnswer: 23*i - 4478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = -165 + 79. Let r be 4\/(-4) - 2*a. Let f be (0 + r\/3)\/1. What is the greatest common divisor of f and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -122483*f**4 - 138065*f wrt f.\nAnswer: -1469796*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2021 - 10202?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -5 - (-10 + 6 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**10*x**(6\/19)\/x)\/(x**15\/(x\/x**5)) assuming x is positive.\nAnswer: x**(-184\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from {i: 6, n: 1, t: 3, m: 7}.\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -10, 4, 22, 44, 70, 100?\n\"Answer: 2*b**2 + 8*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -464506 (base 8) to base 4\nAnswer: -212211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 2*j - 3. Suppose n - 11 = -0*u + u, 4*u - 6 = -n. Calculate the least common multiple of j and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (9*q**3 - 2 - 3*q**2 - 1 + 4*q**2)*(-q + 4*q - 4*q) in the form l + b*q**4 + c*q**2 + p*q**3 + f*q and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.015 - 2.015. Let c = 3.7 + 0.3. What is the closest to w in 2, c, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 + -0.41760098?\nAnswer: -0.91760098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kvtt. Give prob of sequence vk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:16 PM and 8:41 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 315 divide 490455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 3*c. Let y(w) = 39399*w - 116. Calculate y(m(p)).\nAnswer: 118197*p - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1\/(1\/(-6))*((-82)\/6273)\/2\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 8 - k**2 + 0*k**2 - 11*k + 2*k**2. Let s be p(10). What is the remainder when s*((-10)\/4 + -1) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -29a (base 11) to base 15\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 12257381729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 7*n**2 - 5*n - 6723. Let z(x) = -20*x**2 + 14*x + 20170. Determine 14*b(d) + 5*z(d).\nAnswer: -2*d**2 + 6728","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be (4*(-1)\/(-10))\/(1\/5). Solve d = p - k + 1, 0 = -5*d - 3*p + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the third derivative of f**4\/4 + 1064*f**2. Let c(k) = -1194*k**2. Determine c(o(l)).\nAnswer: -42984*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -4 (b) 3416 (c) 25 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be 24\/18*(-2)\/(-16). Sort -2, g, -2\/11 in decreasing order.\nAnswer: g, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 373 and 60821.\nAnswer: 22686233","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let w(t) be the third derivative of -t**4\/12 - 3*t**3 + 18*t**2 - t. Let i be w(-8). Sort 10, i, 0, -5.\nAnswer: -5, i, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-145521)\/15318*48\/494?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 96 - 93. Suppose -2*i + 136 = 5*t, 282 - 69 = 3*i + v*t. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-96122)\/(-39)*(1 + 34\/(-4)). Let k be -6*5\/a*2\/6. Let y = k - -29538\/70243. Do y and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 63*m - 100*m**4 + 10*m**3 - 63*m - 10*m**3 + 341 wrt m?\nAnswer: -400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -8 in 1, 1\/59, 2\/7, -0.2, 1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 41032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 40044 divided by 4\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 183760?\nAnswer: 2, 5, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2111.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2677*m - 2694*m = -68 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -892093048 * 5\nAnswer: -4460465240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 863.6995km?\nAnswer: 863699500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1022111 (base 3) in base 7?\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r**(-4)*r)\/r)\/r**(-7))\/(r**(-2))**3 assuming r is positive.\nAnswer: r**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*r - 515 + 41. Let s(f) = 4*f**3 + 2. Let d be s(-2). Let b = d - r. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*i = 8*i - 160. Let a be (-1 + -1)*185\/10. Let o = a - i. Solve o*v + 11 = 3*w - 8*w, -3*v = -2*w - 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1413 = -75*o + 151*o + 81*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 688 minutes before 11:35 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-nine quarters of a gram in milligrams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 146761 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -3*g - 0*g + 5*k, k = 2*g. Suppose -6 = -3*w - 2*i, -w + 3 = i + g. Let a be (17500\/(-1))\/(w*5\/400). Round a to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 852815 to the power of 1\/2, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the first derivative of 73*h**2\/2 - 74. Let m(f) be the second derivative of -f**4\/3 + 7*f + 21. Determine m(r(w)).\nAnswer: -21316*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = -242 + 120. Let q = -115 - a. Is q not equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 30 + 77*o - 11 - 58*o - 18. Let n(m) = 5*m. What is n(v(s))?\nAnswer: 95*s + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 * 68.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g + a - 5*a - 12, 1 = 3*g - 2*a. Let o be (1 + g)\/(-3 + 4). Suppose 0 = -5*q - o*q + 1050. Round q 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 -75*u - 89*u + 160*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**3 - 12*x**2 + 14*x + 88. Let l be y(11). Calculate the greatest common divisor of 44 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 + 11*s**2 - 5*s - 5. List the prime factors of y(-10).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwawwwaw. Give prob of picking 2 w and 1 a.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 735695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/(3\/2) + 36\/54. Is 0 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.3 + -0.35. Let k = 169.8 + -170. What is the second smallest value in k, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 less than 5544?\nAnswer: 5538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be 45\/(-6) + 21\/6. Let x be y - 1 - (-2 - (1 - -3)). Which is smaller: x or -4\/223?\nAnswer: -4\/223","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -4370\/72187?\nAnswer: -4370\/72187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*y + 26*y + 349 = 0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13896143791929 - -0.2.\nAnswer: -13896143791928.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from flllffff.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3068 - -3079. What is the remainder when 3533 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 95 - a14?\nAnswer: -94c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2)\/45)\/(5\/(-25)). Let r = -33 + 32.6. Let x = -1439\/4 - -360. What is the nearest to -1 in x, r, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*z**2 - 1856*z - 430592 = 0. Calculate z.\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 1, n: 1, j: 3, s: 5, t: 1, q: 4}. What is prob of sequence sjjn?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 2 o when three letters picked without replacement from oataoada.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qgbk when four letters picked without replacement from {k: 1, g: 2, z: 1, b: 1, q: 1, f: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 8*z**2 - 7*z + 12. Let i be (0 + 1)\/(-5 + (-416)\/(-84)). Let r = -26 - i. Is w(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 125457.\nAnswer: 3, 19, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 101486 divided by -148?\nAnswer: -50743\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*x - 16*x + 88. Suppose x*h + 7*h = 22. Let f(w) = -2*w**2 + 2*w. Let p(b) = -1. Calculate h*p(i) + f(i).\nAnswer: -2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*i - 5*i + 399 = 0. Suppose -4*c + i*f = 15*f - 104, 0 = -4*c + f + 89. Calculate the remainder when 82 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2691)\/(-52) - ((-3)\/(-4))\/(-3). Let r = y - 50. Suppose 0 = -r*q + 3 - 9. Put -5, q, 0 in increasing order.\nAnswer: -5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4.942 - 0.058. Is y > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2001 + -2002?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.5 times 35.7\nAnswer: -17.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*r**3 + 57*r**2 - 30*r**2 - 27*r**2 + r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + u**2 + 1)*(-12*u - 16*u + 2 + 24*u).\nAnswer: -4*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 - 2. Suppose -2*o + t*z = 9, o - 8 = 4*z - 25. Solve 0*v - 10 = -4*v + 5*c, 5*c = -o*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 11*g**2 + 554*g + 2783. Determine r(-5).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is b in -8*b**5\/5 + 1322*b**4\/5 - 56562*b**3\/5 + 481378*b**2\/5 - 241526*b + 54540 = 0?\nAnswer: 1\/4, 5, 54, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 88854751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 264.62768 to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.15 and -83.\nAnswer: -12.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the second derivative of 245*h**4\/12 - h**2\/2 - 2167*h. Let a(u) = -5*u. Calculate w(a(d)).\nAnswer: 6125*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 69558.17 meters to millimeters.\nAnswer: 69558170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 33 - 36.6. Let c = 4 + s. Put -1\/3, c, 0 in decreasing order.\nAnswer: c, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0*(-2)\/(-4) + 3. Let c be (-7)\/((-42)\/40)*a. Suppose -h + c = -38. Calculate the remainder when h is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -88352 or -88339?\nAnswer: -88352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 566*k**2. Let v(n) = 4*n. Calculate v(u(s)).\nAnswer: 2264*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 211927082*b**3 + 211927094*b**3 - 423854181*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -8.827 and 0.3.\nAnswer: -2.6481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + 3. Let x(c) = 2*c**3 + 6*c**2 - 22*c - 6. Let g be x(-5). Suppose i*b + 29 = 4*l - 0, g*b - 2*l = -28. Which is bigger: b or -10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -17\/10 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 0)*(-3 + 1 + 0)*(-1 + 3*h + 1).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -484 - 386 = -6*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 15 and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 544 or 33.3?\nAnswer: 544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:50 PM and 8:41 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.004 (b) 0 (c) 2\/11 (d) -2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**1*s*(s*s**(-1))\/s*((s\/((s*s\/(s*s**0\/s*s))\/s))\/s)**(7\/4) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -2*g + 223 + 269, -5*n - 1023 = -4*g. Calculate the highest common factor of g and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of q**3 + 25*q**2 + 6*q - 25*q**2 wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 69005 or 69004?\nAnswer: 69004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 9*g**2 + 19. Let x be t(-5). Let y = -239 + x. Solve -2*l - y = 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -208034, -208033, -208032, -208031?\nAnswer: -208030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*-1*sqrt(306) - sqrt(306))\/(sqrt(36)*-6))\/(-2*(sqrt(200)*-2 - sqrt(200))*-5).\nAnswer: -sqrt(17)\/1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*q**2 + q**2 + q**2)*(374*q + 467*q - 709*q)*(-5 + 3 + 21) + q**3 - 5*q**3 + 2*q**3.\nAnswer: -5018*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16408 + -16408.08157. Let d = y - -0.078. Round d to 4 decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.009142002 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 59884.52647 to the nearest integer.\nAnswer: 59885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**35)**23 assuming j is positive.\nAnswer: j**805","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/16*(-10)\/2*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 24*q**2*s - 144901471*q**2 - 6*q*s - 17330*s wrt s.\nAnswer: 24*q**2 - 6*q - 17330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -3*f + 33028, 5*z - 57241 = -2*f - 15963. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -3079 + 3115. Let b = -2 - -1. Let z be 2\/2*(-2 + b). Put f, 4, 1, z in descending order.\nAnswer: 4, 1, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -23*x**4 - 102*x**3 + 7247*x?\nAnswer: -276*x**2 - 612*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -897893 (base 14) in base 2?\nAnswer: -10001110011111100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 108417622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(-96)*((-43050)\/(-1610) - 27)\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 4434250373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -212961 by 3.\nAnswer: -70987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -1865 = 75*s + 235 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (((-12)\/(-4))\/3)\/1. Let s(o) = -5*o - 8 - v + 6. List the prime factors of s(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**3. Let a = -8 - -4. Let o(n) = -3*n**3 - 5*n + 18*n - 13*n. Calculate a*o(q) + 14*t(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 105458712.\nAnswer: 2, 3, 4394113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 596881.18 to the nearest 100.\nAnswer: 596900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*n + 6 = -12*n. Let c be (4 - 5) + ((-8)\/6)\/n. What is the second biggest value in 5, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 65\/54 and 91\/102.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 436882 and -45.8?\nAnswer: -20009195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -21*v + 17*v. Suppose v = 5*x - 7*x + 8. Solve x*j - 3 + 15 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -48*f**2. Let x(r) = 163*r + 157*r - 322*r. Determine s(x(o)).\nAnswer: -192*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b - 24 = -2*x - 38, 2*x + b - 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z**2 + 23*z + 52. Let f be d(22). Let m = -27 + f. Let x(j) = 16*j**2 + 3*j - 3. What is the remainder when m is divided by x(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 59679?\nAnswer: 3, 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**3 + 24*t**2 + 1. What is g(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 237.0559 nanometers in centimeters?\nAnswer: 0.00002370559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.01 - 2.99. Let o = -0.2 + 0.2. Let z = -1.1 - -1. What is the nearest to z in 2, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -585501895 minus 7.1521?\nAnswer: -585501902.1521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (200 + 194 - 276)*(-14 + 26*y + 25 - 12).\nAnswer: 3068*y - 118","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -95*z - 476. Give f(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 17*c**3*m**4 + 2*c**3 - 71937*c*m**4 - 347*c - 88 wrt m?\nAnswer: 68*c**3*m**3 - 287748*c*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.13 + 1.03. Let o = -0.6 + x. Let v = o - -1.7. Which is the third smallest value? (a) 4 (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d*d\/(d*d*d**(2\/23)*d)*(d**(-18\/11)*d)\/d*(d\/(d\/((d**(-42)*d)\/d)))**(3\/7) assuming d is positive.\nAnswer: d**(-5243\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-1\/6)\/n**8 assuming n is positive.\nAnswer: n**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1951\/9 + 217. What is the common denominator of -17\/6 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 w, and 2 r when four letters picked without replacement from wrrfjwlj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b**2 + 23*b - 211. Determine r(0).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2 + 8 - 1189\/203. Suppose -7 = 3*c + 3*p + 5, 0 = 5*p + 20. Is r > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**2 + 15*l + 40. Let r be u(-4). Sort r, -1, -41, 5 in ascending order.\nAnswer: -41, r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 706.8 from 38.2.\nAnswer: -668.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.3 and -2962.\nAnswer: -2961.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*d**5 + d**5 - 5*d**5 + 2*d**3 - 2*d**3 - 2*d**5 + 3*d**5 + 0*d**5 - d**5 - d**5 - 3*d**5 + 2*d**5 + (-2*d + 4 - 4)*(-3*d**4 + 5*d**4 - d**4).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.4 + 0. Suppose h - 2 = 3*t - 8*t, 0 = -4*t - h + 2. Let v be (1 - t)\/((-52)\/(-8)). What is the second biggest value in -2\/7, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -554 - -549. Which is the smallest value? (a) s (b) 28\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-6\/17)\/f)**(-49) assuming f is positive.\nAnswer: f**(1127\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -175, -173, -171?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and -28978?\nAnswer: 14489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/(-9)*-12*3\/(-312)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 3*s**2 + 87*s - 453. Let k be g(5). Solve k*v = 39*v - 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 51.18 and 3?\nAnswer: 153.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -14\/2123525 and -62\/17675.\nAnswer: 14864675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 6274, 5, -596.\nAnswer: -596, 5, 6274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 135 and 2160.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {m: 3, r: 1, h: 4, f: 3, x: 2, o: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -39 - -38. Let o be 1\/((h + -2)\/(-3)). Let r be 1\/(7*(-4)\/(-16)). Is r less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -148 = -3*t - m, -3*t + 42 + 109 = 4*m. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 12:20 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5663 is divided by 126?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 207 - 199. Suppose 5*r - 105 = -5*z, -r - 3*z + 87 = 3*r. Suppose 0 = -4*q + 5*y - 13 + 1, r = 2*q + 5*y. What is the highest common divisor of n and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 128 = -4*j - 16. Does 5 divide (j\/15)\/(2\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 13) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -2*z**3 + 5*z**2 + 3*z - 6. Let x(i) = -i**3 + 4*i**2 + 3*i - 5. What is -5*o(r) + 6*x(r)?\nAnswer: 4*r**3 - r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -23 - -25 - (2 + (2 - (3 + -26))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 39631055 to the power of 1\/3, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -4 * -171\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 42 + -44. Is 0.3 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the first derivative of -103*l**5\/5 + 3*l**4\/4 + 2*l**3\/3 - 47*l**2\/2 - 960. Find the third derivative of t(f) wrt f.\nAnswer: -2472*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -917.7 - -963. Let x = m + -51.3. Which is the closest to 12? (a) 2\/5 (b) x (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**2 + 2*f - 3. Let y be c(-4). Suppose y*o - 4*z - z = 5, z + 13 = 3*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 16*x - 14*x - 10. Put 4, 3, x, -1 in descending order.\nAnswer: x, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) -155 (c) 4\/3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -23 - (-1 + 25 - 14)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 0*f**3 + 3*f**3 - 9*f**2 - 2*f**3 + 1 + 0*f**2 - f. Give p(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 591 + -408. Let n = v - 302. Round n to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j - 7 + 0 = 0. Solve 0 = -2*h + h - j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.84066539 * 0.02.\nAnswer: 0.0168133078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**3\/4 + 7*c**2\/4 + 17*c\/2 - 10.\nAnswer: -(c - 10)*(c - 1)*(c + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*s - 2*s - 6*s + 3*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2330885741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 69, -5, 0, 1, 11, 2 in decreasing order.\nAnswer: 69, 11, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -50693 divided by 7.\nAnswer: -50693\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 2*m**2. Let k(o) = -333*o**2 + 843*o**2 - 17*o**2. Calculate i(k(c)).\nAnswer: 486098*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 79324 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 534896286 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5 + -3. Let c(y) = 4*y - 3*y + y**3 - k*y**3. Let u(l) = -l - 2. Let p be u(-1). Give c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v**3\/6 - 805*v**2 + 1947291*v\/2 - 11645138\/3 = 0. Calculate v.\nAnswer: 4, 2413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10.4 - 20.8. Let j = 0.803 + 0.197. Let s = j + u. Round s to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(-35)*(-7)\/((-63)\/60)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-11 + 1 - (622 - 628)) + 51\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -121*x + 37*x + 665 + 343 = 0. Let m = 31 + 71. Calculate the greatest common factor of x and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**3 - 2*b - 34. Suppose 32*j - 34*j = 0. Let v be h(j). Let z be v\/(-51) - (-452)\/6. What is z rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 2 s, and 1 j when four letters picked without replacement from ssjstjmmsj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 2 + (sqrt(275) - sqrt(275)*-1) + 1 + -1 + sqrt(275) + -3 + -2)**2 + -2.\nAnswer: -180*sqrt(11) + 2509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2021, 7373, 12725?\n\"Answer: 5352*m - 3331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 404*s**2 - 415*s**2 + 386*s**2 as n + m*s**2 + w*s and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:56 AM and 5:38 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -y**3 + 5*y**3 - 18*y**3.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 3762 divided by 46\nAnswer: 1881\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-40)\/(-600))\/(1\/((-20)\/(-6))). Sort -16, 10\/13, z.\nAnswer: -16, z, 10\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b**2 + 21*b - 38. Let w be o(18). Suppose u - w = -5*m, 12 = -5*u + 2*u. Solve -2*v = -c, m*v + c = 2*c - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*v - 4*v + 2*v + (4*v - 2*v - 4*v)*(0 - 2 + 6) + 2*v - 2*v - v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -31*b**3*o**3 - b**3*o**2 - 31*b**3 - 1623*b**2*o + 2975*b*o**3 wrt o?\nAnswer: -186*b**3 + 17850*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 32149620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -800*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.60478 - -0.20478. What is the closest to -2\/7 in 5, i, 11\/5, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1*(-11)\/(-11))\/9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 140632 divided by -8?\nAnswer: -17579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2941043*s + 2941043*s + 96*s**3.\nAnswer: 96*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 37773126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.02 in 1\/3, -3\/2, 3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54 + -2853.2.\nAnswer: -2799.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of t**4 + 2*t**2*w**2 + 629*t*w + 2*w**2 - 1047702 wrt t?\nAnswer: 4*t**3 + 4*t*w**2 + 629*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 877094 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m and 1 q when three letters picked without replacement from {m: 3, d: 3, p: 2, q: 8}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 18 + -57. Let r be 72\/34 - 208\/1768. Is r >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p - 5*g - 15, -27 = -4*p + g. Suppose 1 = c - p. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 14, 17, 12, 5, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 109 = 3*d + 2*o, 5*o = d - 0*o - 8. Calculate the highest common factor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the second derivative of -f**4\/4 + 4*f**3\/3 - 2*f**2 + 14*f. Calculate h(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -6*r. Suppose 3*m + 41 = f - 6*f, 0 = 2*f - 3*m + 8. Is u(f) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -7697?\nAnswer: 30788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3502151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 3551366 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is h in 52*h**5 + 164*h**4 - 444*h**3 + 188*h**2 + 40*h = 0?\nAnswer: -5, -2\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 83729\/7470 + -780\/83. Calculate the common denominator of 16\/((-2880)\/81) - -1 and s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 21*b*i**2*w**3 + 4*b*i**2*w**2 + b*i**2*w - b*w**3 - 3*b - 5*i**2*w**3 - 2*i**2*w**2 wrt w.\nAnswer: 126*b*i**2 - 6*b - 30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 2*z = 109, 35 = 2*c + 2*z - 3. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 less than 1439666?\nAnswer: 1439667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 + -6. What is the second derivative of s**3 + 3*s - s + f*s**3 wrt s?\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -0.07 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g and 1 n when three letters picked without replacement from egueeuueugbenug.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -4751, -6915, -10513, -15539, -21987, -29851?\n\"Answer: h**3 - 723*h**2 - 2*h - 4027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = 2*g + b + 62, 2*g - 2*b + 31 + 3 = -18 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the first derivative of -2*r**2 - 28 - 2\/3*r**3 - 1\/12*r**4 - 8\/3*r. Solve o(p) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10*q**2 - 91*q**2 + 2 + 184*q**2 in the form k*q**2 + o*q + r and give k.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1363469423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -3054310017679 - -0.4.\nAnswer: -3054310017678.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -2*f**3 + 7*f**2 - 10*f + 7. Let n(d) = -5*d**3 + 14*d**2 - 24*d + 14. Let l(c) = 3*n(c) - 7*x(c). Calculate l(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 5 = -u, 0 = -d - 2 - 2. Let n(h) = 1 + 4 - 3 + h - h**2 - 3. Determine n(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -15.91 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 36 + 22 + b**2 + 58 as r + z*b**2 + m*b and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**2. Let j(u) = -1365*u - 7. Determine m(j(q)).\nAnswer: -1863225*q**2 - 19110*q - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p + 2*p - 64. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 - -0.8. Let l = 0 + 0.3. Let n = l - -2.7. Which is the nearest to 1\/3? (a) k (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1318 divided by 1\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1*(-8)\/(-20))\/((15\/100)\/((-3180)\/(-160))).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 65618310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*s**4 + 17*s**4 - 54*s**4 + (-2*s**3 + 0*s**3 + s**3)*(s + 3*s - 3*s).\nAnswer: -43*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -13231 or -13232?\nAnswer: -13232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 240*v**2 - 4440*v + 9. Calculate z(19).\nAnswer: 2289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-966)\/35*(1 - (-77)\/(-66))?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 877495039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 331 is divided by 70?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssssasas. Give prob of sequence as.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -4 plus 51.932782300265?\nAnswer: 47.932782300265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -22.91 - -23. Let z = 9.1 + -8.6. Which is the nearest to n? (a) 3 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -35*w - 4. Does 17 divide v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1612 + 0.1.\nAnswer: -1611.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -1\/113 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3)*-4*-5 - sqrt(3) - sqrt(3) - (2*sqrt(3) + 4)) + -2 + -1 + sqrt(48) + -3)**2.\nAnswer: -400*sqrt(3) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 93 and 1098268.\nAnswer: 3294804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -7*w - 2 - w**2 + 1 + 0 in the form l*w + k*w**2 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -3 + (0 - 17 - -33)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (998 - 10) + 0 + 2. Suppose 5*g - 366 - 1321 = 4*t, -3*g - 5*t = -c. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 - 5*p**2 + 3*p + 10. Let o be q(-5). Which is the second biggest value? (a) -1\/14 (b) o (c) -0.4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 684662 and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11\/(-44)*12*(-5)\/435*2.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20638, 20631, 20600, 20533, 20418, 20243, 19996?\nAnswer: 19665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(68) - (sqrt(68) + -1*sqrt(68)*-2 - sqrt(68)) - sqrt(68))\/(-5*sqrt(36))*6.\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24230, -48315, -72400, -96485, -120570?\nAnswer: -144655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sum -12769 and -0.0427748.\nAnswer: -12769.0427748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Is -868 greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**2 - 3*n. Let u be p(-3). Let v be (-4)\/u + 66\/54. Let w be (10 - 7)\/(v\/(-1)). Sort w, -1\/4, -0.2.\nAnswer: w, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -156 - -155. What is the remainder when (-14)\/(-7) + (-195)\/(-5) + j is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2880 and 3060.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c**3 + 185648*c**2\/7 + 8716268*c\/7 + 2475208\/7 = 0 for c.\nAnswer: -6583, -47, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -227.659*8\nAnswer: -1821.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 61 - 64. Which is smaller: 0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 7 and -664.\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 122995059?\nAnswer: 3, 11, 3727123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 22 = 2. Suppose -5*u = 4*d - 0*d - 40, -2*d = -4*u + g. Solve -d*v - 3 = 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/2)\/((-17)\/(-2) - 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -30*w**2 - 6*w - 5. Let m be h(4). Let q = 768 + m. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000003363 rounded to seven dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -2*w - 23. Let c(p) = -2*p**2 + 25*p + 45. Let d be c(14). Let a be (3 + -5 + 15)*(-3)\/d. What is x(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.0568, -16\/3, -14, 5 in increasing order.\nAnswer: -14, -16\/3, -0.0568, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.655556068 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = -145 - -141. Put -2, -0.1, -5, i in ascending order.\nAnswer: -5, i, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -9*a**3 - a**2 + a. Let s(r) = -r**2 - 12*r + 17. Let q be s(-13). Suppose -8 = q*h + 4. Let m be (-1)\/((9\/h)\/3). Determine i(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.7? (a) 27 (b) -1 (c) 0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**3 + 12*j**2 - 14*j - 9. Let m be k(-13). Let x be 0 + -2*3\/(-6). Suppose 5*q - d = q + 8, -x = -3*q + 2*d. Solve m*v - q = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 3, h: 2, b: 5, z: 2}. Give prob of sequence hbdh.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**3 - 4*n**2 + 3*n - 6. Let d(j) = -j**2 + 7*j + 1. Let x be d(3). Let m = x - 9. What is the units digit of i(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7054, -7055, -7056, -7057, -7058?\nAnswer: -7059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -335 equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -150*b**2 + 47*b**2 - 140*b**2 - 576*b**2.\nAnswer: -819*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2511*r = 2574*r - 126 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8404 - 5353. Which is smaller: 3049 or n?\nAnswer: 3049","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -6*v + 179. Let d(l) = 7*l - 185. Determine 2*d(s) + 3*i(s).\nAnswer: -4*s + 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -44139158.1 to the nearest 1000.\nAnswer: -44139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y - 2*d - 33, -4 + 12 = -4*y + 3*d. Which is bigger: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 929.1939ml?\nAnswer: 0.9291939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o = -o + 278*w, 5*o = 3*o + 3*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -134.9923 + 17.0001. Let i = 115 + 3. Let s = i + w. Round s to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 801369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 428 divide 404626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -13166, -70104, -165000, -297854, -468666?\n\"Answer: -18979*a**2 - a + 5814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w - 6 - 10, 4*t = 5*w + 460. Suppose 0*d - t = -4*d. Suppose 0 = -r - 2*r + d. Calculate the least common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6 - -19. Let o = 60 - j. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1 (b) -11 (c) -4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/2, 10\/11, 4, 2, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 123766, 494854, 1113334, 1979206, 3092470, 4453126?\nAnswer: 6061174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:57 AM and 11:06 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 4 + 2)*(2*w**2 + w**2 - 2*w**2) - 4 + w**2 + 0 + 5.\nAnswer: -5*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5*z**3 - 80*z**2 + 736.\nAnswer: -15*z**2 - 160*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/489, -19\/4, 0, 3\/13, 0.05 in ascending order.\nAnswer: -19\/4, -2\/489, 0, 0.05, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - 9 - 7. Suppose 3 = r*w - w + 3*u, 2*w - 10 = 2*u. What is the second derivative of 3*f**5 - 2*f + w*f - f**5 wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:34 AM and 11:29 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 225016767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k + 5*q - 10, 4*k + 2*q - 3 - 1 = 0. Let v(t) = 2*t**2 - 5*t + 16. Let x(r) = 7*r - 6. Calculate the lowest common multiple of v(k) and x(4).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.00873 + -9210.\nAnswer: -9209.99127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 740989 is divided by 224?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 47\/34 + -3\/2. Which is the second biggest value? (a) 2 (b) i (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 39, -29\/11, 1, 0.23?\nAnswer: -29\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p**2 + p + 11. Let f be t(5). Let a = -449\/11 + f. What is the closest to 2 in -5, a, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-52) - (-11925)\/(-5850)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*p**2 - 5*p**2 + p**2)*(44 - 87 + 82*p + 40) in the form w*p**3 + i*p + b + n*p**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide -180 by 36.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -34\/87453 and -50\/7.\nAnswer: 612171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -194301 or -194299?\nAnswer: -194301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-788)\/(-3608) - (-4)\/(-22). Let y = i + -955\/328. Let s = 5507\/530 + 80\/53. Find the common denominator of s and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 804149.3 days to microseconds.\nAnswer: 69478499520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 3*w = -12, 3*d - 3*w - 10 = 8. Let a = 137 - 134. Solve -t + a*t = d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) 0.4 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n - 17 = 5*j - 11, -4*j - 4 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, o: 2, k: 1, a: 1}. What is prob of picking 1 o and 1 w?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 1707 + 2*r**2 - 1723 + 3*r - 16*r + 3*r as t + c*r + a*r**2 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2 + 0\/(-2 - -1). Let d be 4 + -5 - (-1 + i). Suppose -d*g - 9 = -23. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v - 1. Let w be d(0). Let h(g) = 3*g - 1. Let n be h(w). Is 111 - -1 - (3 + n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 88118 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3018)\/945 - 4\/(-18). Let u = z + 25\/7. Let y = 0.2 - -0.8. What is the smallest value in y, -1\/2, u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1252 and 757.\nAnswer: 947764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqixxxxq. What is prob of sequence xiqx?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3222 = -5*z - 2*f + 7265, 4*f = -16. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 165497.\nAnswer: 167, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: a90a0 (base 12) to base 3\nAnswer: 102022221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 743.079us in nanoseconds?\nAnswer: 743079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 3\/4, 181, -0.4, 4, -2 in ascending order.\nAnswer: -2, -0.4, 3\/4, 4, 12, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**2 - 29*l + 26. Let t be q(34). Suppose -479 = -15*h + t. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 5*d**3 - 2*d - 2. Let k(c) = 5*c**3 - 3*c - 3. Let g be (-8)\/(-6)*((-3)\/(-2) - 3). Determine g*k(s) + 3*p(s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 115166089 a multiple of 853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s - 93028 + 92994 = -8*p, -p + 11*s = 52 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -8 - ((19 - 66) + 65) - -121\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 - -5777852?\nAnswer: 5777855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -151, 363, 1393, 2945, 5025, 7639, 10793, 14493?\n\"Answer: i**3 + 252*i**2 - 249*i - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00241 to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -3*w + 5. Let c(b) = -5*b + 9. Let x be (-6)\/(-1) - (-139)\/139. Suppose 5*g - 6 = 2*g. Suppose -7 = g*i + 1. Calculate i*c(m) + x*s(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h + 4. Let r be s(3). Let t(o) = 12*o + 1. Give t(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, -117, -3520, -1\/5, 2\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 4*d**5 - 78856*d**4 - 157740*d**3 + 236576*d**2 + 315472*d - 315456 = 0. What is d?\nAnswer: -2, 1, 19716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3717*n = -3694*n + 92. Let p = -4 - -11. Let b = 7.3 - p. Sort b, n, 5 in increasing order.\nAnswer: n, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in u**2 + 4*u**2 + 20*u**2.\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, o: 5, y: 2, s: 1, c: 1}. What is prob of sequence os?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00029385 rounded to six dps?\nAnswer: -0.000294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 21376*8\nAnswer: 171008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3286.\nAnswer: 2, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -130\/7, 1\/7, -0.5, 41\/166?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2 + 1)\/(2\/(-8)). Suppose -2*b = 5*i - 44, -4*i + d = b - 33. Solve -i = 4*f + f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*n - 9 + 111*n + 7.\nAnswer: 117*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 8*z**2 + 266*z + 3143. Give c(-11).\nAnswer: 1185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 119 = -4*s - 145. Let r be s\/(-22) + (6\/2 - 2). Solve 3*x = r*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhowzzhwzwwwo. Give prob of sequence wz.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-36)\/6)\/126*(2356\/114)\/(-31).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -9 - 4 + 31 + 24*w + 0*w + 20 + 2*w**2 as k*w**2 + a + o*w and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-16)\/2576*-23*(14\/(-10))\/1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 198 and 252?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/7 (b) 0.05 (c) -2.03 (d) 0.7 (e) 1.1 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -76 (base 11) in base 7?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 + m**2 + (2*m + 0 + 0)*(-m + 4*m - 2*m) + (2 - 1 + 1)*(-1 + 1 + 3*m**2) - m**2 - 2*m**2 - 5*m**2 + 5*m**2 - 2*m**2 - 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 230694216 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(-2\/5)*z)\/z)\/(z\/(z*z**(-3\/5)))*(z*z**(1\/6))\/(z*z\/(z\/z**(-1\/4))*z*z) assuming z is positive.\nAnswer: z**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 4*u = 1 + 40, -4*u = 18*y - 166 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o**3 + 5*o**2 + 5*o + 6. Let y be h(-4). Let f(u) = -3*u - 1 - 1 - 2*u + 4*u. Give f(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 25*a - 2. Suppose -7*f + 2 = -5. Is r(f) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-25)\/h**(-21\/5)*(h**4\/h)**(-1\/44) assuming h is positive.\nAnswer: h**(-4591\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the second derivative of 1\/12*t**4 + 1\/2*t**3 + 23\/2*t**2 - 1 + 50*t. Differentiate u(c) wrt c.\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4558 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*o + 3073 = 3057 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2 - 2189632*s - 157663872.\nAnswer: 2*(s - 1094888)*(s + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -2314, -2313, -2312, -2311?\n\"Answer: t - 2315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 15 - (2 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that x**5\/3 - 16981*x**4\/3 + 50936*x**3\/3 - 33956*x**2\/3 = 0.\nAnswer: 0, 1, 2, 16978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -158, -302, -420, -500, -530?\n\"Answer: 2*a**3 + a**2 - 161*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -9*d**3 - 7*d**2 + 7*d - 11. Let p = 1856 + -1863. Let g(w) = -4*w**3 - 3*w**2 + 3*w - 5. What is p*g(z) + 3*l(z)?\nAnswer: z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.45875ml to litres.\nAnswer: 0.00045875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(98) - (5 + (-2*sqrt(98))**2) - ((3*sqrt(98)*5)**2 + sqrt(98))).\nAnswer: -112235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 24 and 268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*g**4 + 20*g**2 + 303*g.\nAnswer: 24*g**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -2*c + 8. Let i(a) = -1. Give -6*i(z) - n(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.19059 - -0.192. What is k rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(32\/(48\/6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -116*s - 294*s - 10920 = 136*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 665057, 665015, 664965, 664901, 664817, 664707, 664565?\n\"Answer: -g**3 + 2*g**2 - 41*g + 665097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + 6 + 16 + 2 + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1253022, 1253018, 1253014, 1253010, 1253006, 1253002?\n\"Answer: -4*y + 1253026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o*((o\/o**(-2\/27))\/o)\/o*o\/((o**(-7)\/o*o)\/o))**(-38)\/((o*o**(-1))**(2\/41)*o**(-4\/5)\/((o*o*o\/(o**(-7)*o))\/o)) assuming o is positive.\nAnswer: o**(-50492\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -69489, -278443, -626693, -1114233, -1741057, -2507159?\nAnswer: -3412533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -145\/858 and -107\/2574.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8 - 4. Suppose -g = -2*p + 10. Let o = 11 - p. Solve 0 = a + 4*h + o, -h - 14 = 3*a - 6*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 AM and 11:40 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 182 - 26*i**2 - 207 + 7117*i**6 + 4*i**2 - 150 wrt i?\nAnswer: 854040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -237598*j**3*v**2*y**2 + 7*j**3*v*y**2 + 10*j**3*y**2 - j**3*y + j**2*v*y + j**2*v - 36*j**2 + 2*j*v**2*y**2 wrt v?\nAnswer: -475196*j**3*y**2 + 4*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -p = 2*v + 4*p + 4, -3*v - p = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*c = 15*c + 75. Is c greater than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 50 - -88. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 less than 720.8?\nAnswer: 721.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 47 (b) 5 (c) -0.2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 90*a**4 - 121*a.\nAnswer: 1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 14 * 232849\nAnswer: 3259886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-111 - -144) + (-33 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 11) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-28)\/6*48\/(-56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7865 + -23593\/3. Let y be (0 - 2\/44)*4. Put -5, y, k in descending order.\nAnswer: k, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (225\/958500*10082)\/(1\/(-5))?\nAnswer: -71\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bxbabxxnooxd. What is prob of picking 1 b, 1 n, and 2 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16 - 1.4204.\nAnswer: -17.4204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 1633*z - 208 = 1634*z, 5*i = 4*z + 1040. What is the remainder when 817 is divided by i?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 158684, 158813, 159022, 159311, 159680, 160129, 160658?\nAnswer: 161267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -64*v - 127. Let p be y(-8). Let m = -246 + p. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:18 PM and 3:53 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6078538?\nAnswer: 2, 3039269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -108 = -2*a + 5*a. What is the units digit of (a\/(-3))\/(-4 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -5*o**3 + o**2 - 6*o - 5. Let w be x(4). Let f = w + 564. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0005418 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 7611875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 368.923 milliseconds?\nAnswer: 368923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 120 - -1?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q + 29 = 5*k, -1821*k - 36 = -5*q - 1824*k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 57362801949 + 0.3.\nAnswer: 57362801949.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 17594727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a - 4*l + 30 = 0, 71*l + 20 = 75*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1235 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 52380 divided by -5820.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 143617140 is divided by 2503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 14*i + 279. What is the lowest common multiple of m(-16) and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from koekfuekkkupu. What is prob of sequence fu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2*(-2)\/(-4) - (-12 - -9). What is the third derivative of 34*h**y + 14*h**2 - 18*h**2 - 7*h**2 - 8*h**2 wrt h?\nAnswer: 816*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 25942 times 0.2\nAnswer: 5188.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a*a*a**5)\/a)\/a*a)**(-5\/8)*(a\/(a\/((a\/(a*a*a**5*a))\/a)))**(-9\/7) assuming a is positive.\nAnswer: a**(183\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 110752895\/14 + -7914958. Let i = 1594 + -5637. Let j = w - i. Calculate the common denominator of -41\/10 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6 and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*f**3 + 74*f - 4*f**3 - 74*f.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 34422 + -32670. What are the prime factors of a?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, i: 3, e: 1, j: 2}. Give prob of sequence eii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 665606 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 58940 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*q**3 + 2928*q**2 - 2925*q\/2 + 731\/4 = 0 for q.\nAnswer: 1\/4, 731\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times 0.37508\nAnswer: -0.037508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aljl. What is prob of picking 1 a and 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 104*b*o**3 + 275377384*b - 1300215*o**4 wrt o?\nAnswer: 312*b*o**2 - 5200860*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 138503 + -138508. Let l = 0.1 + 0.2. Which is the closest to 2? (a) l (b) r (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, -4, 0, -148, 2\/5, -1 in ascending order.\nAnswer: -148, -4, -1, -1\/2, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -5838*z**3 + 23*z**2 + 119*z + 10. Let n be a(-5). What is n rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/(12\/15)*-8. Let k be y - 9\/((-6)\/(-2)). Suppose 0 = -4*r + 3*r + 63. What is the highest common factor of k and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 114, 116, 118, 120?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 734 - 704. Let d(i) = -2*i**2 + 4. Let r(w) = 8*w**2 + w - 16. Let f(u) = -9*d(u) - 2*r(u). What is the remainder when s is divided by f(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -18 + 15122.8.\nAnswer: 15104.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c**2 - 2*c**2 + c**2)*(0*c**2 + 4*c**2 - 3*c**2) + 675 + 260*c**4 - 231*c**4 - 28*c**4.\nAnswer: -c**4 + 675","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7485\/7 + 1071. Let q be 75504\/(-105) + 4\/14. Let d = q + 723. What is the common denominator of v and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 - -3. Let o(j) = -2*j**2 - 2 - 2 + j**2 - v*j + 12*j. What is o(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xlllxsxxxs. What is prob of sequence xlsl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 432 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 10266115081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 + -101110101111110011110010?\nAnswer: -101110101111110011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**2 + 34*f - 228. Calculate w(25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 2*i**2 - 10*i - 10. Let u(w) = 4*w + 4. Let a(y) = -5*u(y) - 2*v(y). Let f(t) = 156*t**2. What is a(f(z))?\nAnswer: -97344*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the first derivative of -1\/3*o**3 + 0*o**5 - 3 + 0*o**4 + 0*o**2 + 0*o + 2\/3*o**6. What is the third derivative of c(v) wrt v?\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.51 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4\/3, -0.2, 2\/135, -0.3, -0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 529259 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: 9589 divided by -4363\nAnswer: -9589\/4363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 13*f + 2. Determine k(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2392245 divided by 1.\nAnswer: 2392245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 3197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2711?\nAnswer: 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**3 - 5*o**2 + o + 3. Let z(a) = -8*a**2 + 15*a - 4 - 4*a**2 + 13*a**2 - 1. Let w be z(-15). Calculate d(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3726 - 26031\/7. Calculate the common denominator of m and 178\/30 - 2\/6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 29, -7710, -15449, -23188?\nAnswer: -30927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 2*w + 4*w**2 + 6*w**2 - w - 4*w**2 - 7 - w**3. Let j be 2\/4*-2*(-23 + 14). Suppose -10*n + 51 + j = 0. Determine i(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rreerereeere?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -13500, -27008, -40520, -54036, -67556?\n\"Answer: -2*z**2 - 13502*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6371 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (280\/14)\/(9*(-38)\/513)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 7*a + 24. Let k be x(-2). Solve 5*p + 5*l - 45 = 0, 0 = -4*p - 3*l + 42 - k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23482 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 166886 bigger than 166888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2624965485.\nAnswer: 3, 5, 174997699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3 (b) 2\/5 (c) -185\/8 (d) -1\/3 (e) 4 (f) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8\/45 + 46\/45. What is the second biggest value in 0, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*x, 3*t + 0*x = 3*x + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.030601 to three dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5996955359.\nAnswer: 5996955359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 + 12. Let r(f) be the second derivative of 2*f + 1\/75*f**6 + 1\/105*f**z + 0 + 0*f**2 + 0*f**3 - 1\/50*f**5 - 1\/30*f**4. Factor r(v).\nAnswer: 2*v**2*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*w**3 + 15*w**3 + 1 - 1.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that k**3 + 7752*k**2 - 38791*k - 46542 = 0.\nAnswer: -7757, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 869b6 (base 14) to base 3.\nAnswer: 121112210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 4*c**2. Let n be ((-6)\/4)\/(42\/(-56)). Let b(m) = 0 + 44*m**n + 0 - 47*m**2. Give b(a(f)).\nAnswer: -48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1529, -2719, -3219, -2681, -757?\n\"Answer: 58*i**3 - 3*i**2 - 1587*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -2*c - 3*a, 0 = -3*c - 0*a + 3*a. Let z be (-1)\/(-4) + 25\/c. Let v = z + 9. Solve 5 - v = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 213 - 145. Calculate the remainder when w is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14 times 7?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1116 and 3564.\nAnswer: 110484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14 - ((-9 - -10) + 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(3\/5))**(-5\/17)\/(r**(-9)*r\/(((r*r**(1\/2)*r)\/r)\/r*r)) assuming r is positive.\nAnswer: r**(307\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be (59\/2)\/((-1)\/(-8 - 6)). Let c = y - 323. Calculate the remainder when c is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1496?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.06 - -1.06. Let s = f + -0.9968. Round s to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 2243*b - 1253822. Determine t(559).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 5832 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 21 + -11 + (5 + 15 + -1 - 12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -465, -391, -187, 213, 875, 1865?\n\"Answer: 11*m**3 - m**2 - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 134 and 14.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1023981 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 2*k - 56 = 32, -2*o + 33 = 3*k. Solve 4*u - 8 = -5*i, 2*u - 3*i = -0*u - o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 + -5 - -10 - (16 - 8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(65) + (sqrt(65) - (sqrt(65) - 2*sqrt(65)))*6)\/((sqrt(125) - sqrt(125)*2) + sqrt(5) - sqrt(5)).\nAnswer: -13*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = -2*c - 4*m, -45*c - 2*m = -45*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21721 + 4*v - 2*v + 12840 + 3492 + 3*v.\nAnswer: 5*v + 38053","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -188 + 197. Let f(l) = 2593*l**2 - 3*l - 6. Let g be f(m). Round g to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 2*b. Let s be g(3). Suppose 2*h - 10 - s = 0. What is the lowest common multiple of h and (-8 - 1100\/(-143))*-13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {t: 6, v: 3, b: 3, y: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -482 - -490. Let n(d) = 2*d**2 + d + 24. Let c be n(x). What is the highest common factor of c and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (658\/188)\/(7*3\/(-15))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -95043 divided by 6\nAnswer: -31681\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 21148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*q**2 + 10*q - 15.\nAnswer: 5*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 193\/17556 and -25\/1254.\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Do 225 and 220 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 298*a**2. Let q(l) be the first derivative of -3*l**2 + 9397. Give q(i(x)).\nAnswer: -1788*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19 - 32 + 13 - 1468*s.\nAnswer: -1468*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1690592, -1690679, -1690766?\nAnswer: -1690853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/3 + (-16)\/24. Let n be 1\/((j*3\/42)\/(-1)). What is the highest common divisor of n and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rry when three letters picked without replacement from iryililrllrilrirlli?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 290827 is divided by 146.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Do 0.4 and 2247 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 28252209563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10802 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 18*g - 18*g + 53*g**4 + (-21 + 10 + 15 + 38*g)*(-2*g**3 + 3*g**3 + g**3) in the form h*g**2 + m*g**3 + j*g**4 + w + f*g and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n be 24073\/437 - (-4)\/(-46). Let q = 78663\/7 + -11293. Let o = q + n. Sort 5\/4, 0.3, 2\/7, o.\nAnswer: o, 2\/7, 0.3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*w**3 - 8*w**2 + 7*w**3 + 3*w**2 + 2*w to z*w**2 + x + h*w + l*w**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 9b6a - 1532b?\nAnswer: -8491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23, 47, 73, 107, 155, 223, 317?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2775 and 111018315?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -o**3 + 5*o**3 + 0*o**3 + (o - 3*o - 6*o)*(-o**2 + 3*o**2 - 4*o**2) in the form s*o + v + y*o**3 + q*o**2 and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate f*w**2*y - 7*f*w**2 + 69*f*w*y + 49*w**2 - 3*y with respect to y.\nAnswer: f*w**2 + 69*f*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -33*j**3 - 7*j + 20. Let y(t) = -16*t**3 - 4*t + 9. Let s(x) = -3*r(x) + 7*y(x). Find the second derivative of s(o) wrt o.\nAnswer: -78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + 0. Let k = 287.7 + -286. Let z = k + -5.7. What is the closest to -2\/7 in z, 2\/9, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 35154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y. Let p(b) = -295150*b. Give p(w(g)).\nAnswer: -295150*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16\/363 + 16421\/14520. Find the common denominator of q and 121\/380.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10571295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-38888)\/(-48) - (35\/30)\/7. Let l = c - 678. What is the least common multiple of l and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1779427530 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -297 - 56 + 21508*v**2 + 21509*v**2 - 43019*v**2 + 237 - 714.\nAnswer: -2*v**2 - 830","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1520438893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2632096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -3*f - 3. Let t(n) = n**3 + n**2 + 8*n + 8. Let j(b) = -8*h(b) - 3*t(b). Solve j(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, 1419, 8\/13, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 57 = -20*i + 300 - 59, 0 = 5*i + 5*v - 30 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3993 + 19967\/5. Let t = 7.7 - 8. Which is the nearest to -0.1? (a) t (b) 6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/((4\/(-12))\/1). Is 1435\/3 + (-2)\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together -102719.58996 and 32.\nAnswer: -102687.58996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:21 PM and 6:03 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 2\/5 (b) -2\/5 (c) 0.407 (d) 0.78 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-48)\/4 - ((-9)\/(-3) + -7). Let h be (i + 12)\/((-12)\/(-9)). Let r be 2\/8 - 94\/(-8). Solve 9 = -4*u - 3*y, -h*u + 5*y = -3 - r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from coccccoddoccqy. Give prob of picking 2 d and 1 o.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 5316 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 - -3. Suppose -3*m - v*x = x - 16, m = -4*x + 10. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 87*y**2 - 5*y + 13. Is 37 a factor of t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 16 = -j, -3*j + 2 = 5*d - 6. Let g = 34\/3 + -11. Which is the biggest value? (a) -1\/5 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/2*(-16)\/(-3). What is the greatest common factor of p and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the third derivative of -1\/3*x**3 + 1\/120*x**6 + 0 + 3*x**2 + 0*x**5 - 1\/8*x**4 + 0*x. Factor p(l).\nAnswer: (l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (p - 3*p + p)*(-1 + 1 - 3)*(3 - 2 + 0)*(-40680*p - 341*p**2 + 40680*p) + 0*p**3 - 2*p**3 + 3*p**3.\nAnswer: -1022*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -3*l + 6*l**2 + 3*l**2 - 4*l**2 - 3*l**2. List the prime factors of x(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + (-3 - 10) - (6 + -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -93*p = -116*p + 184 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 493.91+-16.726\nAnswer: 477.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y = s + 10, -11*s + 12*s - y - 2 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 81*i**5\/4 - 21762*i**4 + 43470*i**3 - 28968*i**2 + 6436*i.\nAnswer: i*(3*i - 3218)*(3*i - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 102847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 + 1)*(b - 3 + 3 + (-1 + 6 - 2)*(-4*b - 3*b + 5*b) - 3*b - 6*b - 2*b).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 + 2.1. Let f be 1\/5*(54\/9 + -5). Which is the nearest to 0? (a) -5\/3 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 252 minutes after 4:32 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be (386\/(-4) + -1)*96\/36. Calculate the remainder when 32 is divided by -18*(f\/120 - 5\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l**3 - 11*l**2 + l. Let q be s(-11). Calculate the remainder when (-22)\/121 - 244\/q is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -15*h - h**3 + h**3 - 4 - 2*h**2 - h**3 - 6*h**2. Let r be y(-6). What is the first derivative of 9 - 18*q + 9*q + r*q wrt q?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -4*u**2 + 6*u + 6. Let m = -183 - -199. Let o(i) = -i**2 + 2*i + 2. Calculate m*o(l) - 5*p(l).\nAnswer: 4*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*-4*50\/(-540).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fgrf when four letters picked without replacement from offoffpffjfgfrf.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lkkwwkznk. Give prob of picking 1 w and 1 z.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -9*l**3 - 36*l**2 - 13*l + 7. Let v(a) = a**3 + 2*a**2 - a - 1. Let y(d) = -2*u(d) - 14*v(d). Find x such that y(x) = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the third derivative of -7*r**5\/60 + r**3\/3 + 14133*r**2. Let b(w) be the second derivative of w**4\/12 - w**3\/6 + w. What is 5*b(v) + u(v)?\nAnswer: -2*v**2 - 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 156887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*x**4 - 11*x**2 + 11*x**2)*(19*x + 26*x + 17*x - 47*x) + (-x**2 + x**2 + x**2)*(0*x + 0*x + x**3).\nAnswer: 106*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/17? (a) -5\/7 (b) 1 (c) -13 (d) 3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8670543mm to meters.\nAnswer: 0.0008670543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9878.\nAnswer: 2, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12 - 13. Which is the closest to 1? (a) -4\/7 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - t + 561 = 0, 6*t = t + 5. Calculate the highest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.7 - 46.7. Let y = -77756125.9999924 - -77756172. Let z = g + y. What is z rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fqqq when four letters picked without replacement from {f: 4, e: 2, q: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than 24\/1393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r and 2 l when four letters picked without replacement from {t: 3, o: 2, l: 1, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 18760832 or 206369160\/11?\nAnswer: 206369160\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, t: 4, r: 1, h: 2}. Give prob of sequence chr.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**3 - 7*l**2 - 18*l - 4. Let g = -624 - -633. Give k(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6425 divided by 5.\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes before 4:58 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 364240 and 273180.\nAnswer: 1092720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 78800 and 5555400?\nAnswer: 11110800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -31214034 (base 6) in base 5?\nAnswer: -212413243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.14 (b) -4 (c) 1 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:59 PM and 3:19 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {p: 1, u: 1, k: 2, x: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1369*d**2 - 344*d**2 - 52*d**3 - 15*d**3 - 342*d**2 - 336*d**2 - 346*d**2.\nAnswer: -67*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87458 = 1341*u - 1355*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.5, -0.01, -2, 50327?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1361 + -2315. Let b = w + 4045. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2*((-18)\/(-4))\/(-3). Suppose 39 = -7*d + 10*d. Let t = -11 + d. Solve -o*a + 20 = t*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-13)\/(((s*(s\/s**(-15)*s*s*s)\/s)\/s)\/s))**30 assuming s is positive.\nAnswer: s**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (30\/18)\/((-20)\/(-12)) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:48 AM and 12:59 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the second derivative of -c**5\/180 + 131*c**4\/108 + 133*c**3\/27 - 2312*c. Determine o, given that a(o) = 0.\nAnswer: -2, 0, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2025 and 1440?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the first derivative of v**2\/2 + v + 415. Let w(j) = -j + 7. Give w(o) + 2*y(o).\nAnswer: o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 + 2)*(-5 - 3 + 5)*(-a**4 - a**3 + a**3).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 19 + -23. Calculate the remainder when 48 is divided by (2\/z)\/(6\/(-204)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 265*o**2 - 1065*o + 71. What is b(4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -5*v**2 - 104*v + 19. Let r be b(-21). Put r, 5, 0 in increasing order.\nAnswer: r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 2*m**2 + 28*m + 8353. Is b(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 131064210 to the nearest one million.\nAnswer: 131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*q = 11*q + 2*h - 6, 5*q = -h + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i**2 + 4*i - 3. Suppose 15 = -6*j + 3*j. Let n be r(j). Suppose -35 = -n*h + 1. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1240 or -1242?\nAnswer: -1242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 46187447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.1, 3\/10, 8\/17, -4?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -147268*d**4 - d**2 - 12490*d + 1?\nAnswer: -3534432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(102)\/sqrt(6)*4 + (-1*sqrt(2057) - sqrt(17)))**2.\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 211987.\nAnswer: 59, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.65000595 - 1.65. Round a to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -269*h + 14310 = 23187 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 134 + -62. Let s = -37 + b. Differentiate 6 + s*h**2 - 1 - 32*h**2 wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v + 4. Let m be (437\/115 - 8\/10)\/1. Suppose 626*o - 627*o = -m. Calculate q(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8954645863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dkkkqqkdkqqkkqdqdkqq. Give prob of picking 4 k.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-529 + 13*f + 529)*(2*f**2 - 2*f + 2*f).\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are 452 and 14019\/31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 13290*c**4 - 65*c**2 + 1975247*c wrt c.\nAnswer: 159480*c**2 - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 60\/50*(-20)\/(-3). Suppose w*c = 10*c - 162. Suppose -15 + c = -6*b. Is -11 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 80*(-20)\/(-150) - ((-57)\/(-342))\/((-2)\/(-84)). Factor 8 - 1\/6*a**2 + t*a.\nAnswer: -(a - 24)*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/(-2)*(12 - 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.01, -2, 0.5, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 8972890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3216.93562 - -3217. Round z to three decimal places.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -3746, -2620, -1494, -368, 758, 1884?\n\"Answer: 1126*q - 4872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -15 + 19. Let m be ((-1)\/(-2) + 0)*0. Sort m, 3, l in decreasing order.\nAnswer: l, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0214616 rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the second derivative of r**5\/20 - 11*r**4\/12 + 3*r**3 - r**2\/2 + r + 5. What are the prime factors of i(10)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 47 + -49 - (1 - 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*n + 14*n + 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 4742048 divided by -1185512\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-384)\/72*6\/8*-9. Suppose 5*v + 25 = 475. What is the highest common divisor of v and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 586 - 26?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**2 - 6*n. Let r(l) = -l**2 - 2*l + 2. Let z be r(2). Let o be t(z). Solve 4*j + 8 = -o*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-8)\/6)\/((-8)\/(-4)). Let f be (-33)\/(-44) - 554\/(-8). Suppose -f = j + 4*j. Which is smaller: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 2)*(-7 + 1 - v**2 + 0*v**2).\nAnswer: 2*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, s: 1, w: 1, f: 1}. Give prob of picking 1 y and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of -k**2\/2 + 162. Let f(v) = -5*v**2 - 3. Give q(f(m)).\nAnswer: 5*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10\/50*(7\/(-42))\/(2\/45).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 43 = 2*t, 4*t - 6*t + 49 = -3*y. Suppose -4*b - 19 = 2*o + 11, 2*b = -2*o - t. Put 0, -4, o in decreasing order.\nAnswer: 0, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*d**2 + 120008*d + 240000.\nAnswer: 4*(d + 2)*(d + 30000)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 77277189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15*o**2*z**3 - 4616587*o**2*z**2 - o**2 + 3*o*z**3 + 60745*z**3 wrt z?\nAnswer: -90*o**2 + 18*o + 364470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*s**2 + 69364*s - 5729656.\nAnswer: -4*(s - 17258)*(s - 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*(3*(-2)\/(-120))\/(((-5720)\/(-50))\/(-52)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (39920\/(-25948))\/((-114)\/39*1)?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 10) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-17)\/36 + 3\/12. Let z be 16\/(-4) + 19 - 6\/12*10. What is the closest to 0 in -5, z, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, -4951, 1\/10 in ascending order.\nAnswer: -4951, 1\/10, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1518 + -1494. Suppose 2*n + 9 = 4*s - 11, -5 = -s. Solve 3*g - 9 + v = n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -2*s**3 + 80*s**2 - 76*s + 110. Let m be d(39). What is the highest common divisor of m and 1645?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(242) + sqrt(242) + 0)*-1 - sqrt(200)*3)**2*5.\nAnswer: 27040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 divided by -36.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3737\/4 + 954. Calculate the common denominator of 715\/(-240) - 1\/(-6) and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -193*t**3 - 7*t**2 + 12*t - 23. What is s(2)?\nAnswer: -1571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o = -2*v - 8, 0 = 5*v + 33*o - 36*o + 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -720\/19 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ghac when four letters picked without replacement from {c: 1, g: 1, h: 4, a: 4}.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -11 + 14. Suppose -2*x = 4*u + 4, 5 = -b*u - 2*u + 3*x. Let h be (-16)\/84*u\/(-2). Sort h, 4, 3.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 929, 7412, 25007, 59270, 115757, 200024, 317627?\n\"Answer: 926*s**3 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7.906 rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -5931 - -4.\nAnswer: -5927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -7\/13 (b) 0.15 (c) 12 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 10 + (-1 + -3)\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*k**3 - 14*k**2 - 30*k - 18 = 0. What is k?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 5*r**2. Let s(g) = -4*g**2. Let b(u) = -3*m(u) - 4*s(u). Let i(w) = 3*w**2 - 5*w**2 - 3*w**2 - 2*w**2. Give b(i(q)).\nAnswer: 49*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.0244 - 204.9756. Let x = 204.99999859 + d. Round x to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjjmmjjjmmmmmkmjmm. What is prob of sequence mkj?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 371207 is divided by 22741?\nAnswer: 7351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w - 4*w - t + 262, -264 = -5*w - 2*t. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ygyrluryylurklku. What is prob of sequence ky?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 681884*m**2 - 636398.\nAnswer: 1363768*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 163 + 2a7?\nAnswer: 44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10 - -4. Let j(r) = 5*r + 6*r + 9 - 11*r + 6*r**2. Let y(d) = d**3 + d**2. Let p(c) = b*y(c) + j(c). Differentiate p(k) wrt k.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -131 + -1321?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 126.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 - 3*f**2 + 6*f - 4. Let l be m(-5). Suppose -s + 5*s = l. Suppose 5*z - 320 = -t - s*t, 227 = 3*z - 4*t. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11997825.\nAnswer: 3, 5, 7, 22853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -205168*o - 9 + 18 - 8.\nAnswer: -205168*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v when two letters picked without replacement from ccvvv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + 1 + 0 - ((-19 - 13) + 28).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 1, c: 4, m: 5}. What is prob of picking 3 c and 1 k?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 33 = 9*h. Let d be 3 + -103 + (h - -3). Let w be 17500*(-5)\/(d\/(-1056)). Round w to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*f - 4*f + 0*f = 0. Suppose f = 11*s - 111 - 32. What is the derivative of -2 - 37*h + 0 + 7 + s wrt h?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (-7 - (-4 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n - 21*n - 57 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*n + 3*n + 0*n)*(5 + 3 - 4) + 22*n - 20*n - 164 - 3*n to f*n + p and give p.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 4*b = 760, 0 = -2*l + 6*b - 3*b + 327. Calculate the highest common factor of 104 and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1163*u**2 - 17*u**3 - 1163*u**2 + (90*u + 20 + 65*u - 161*u)*(0 + 2*u**2 + 0).\nAnswer: -29*u**3 + 40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h**(1\/8)*h*h)\/h)\/(h\/(h**(1\/6)*h)))**(2\/81))**34 assuming h is positive.\nAnswer: h**(527\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 30 + -32. Let o(r) be the third derivative of r**5\/30 - r**4\/12 - r**3\/3 + 21*r**2. Let g(q) be the first derivative of o(q). Give g(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**3 - 2*c**2 + c + 6. Let n be u(-2). Suppose 4*z - q = q + 4, -10 = n*z + 5*q. Suppose 1 + 1 = o. Solve z = -5*j + 4*j + o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 9 - 4. Suppose 0 = 3*m + 15, -4*m + 5*m = -2*c - 5. Solve 0 = -o*g - c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1469)\/(-819) + (-2)\/(-9) - 2. Let i = -193\/252 + m. Let r be (-6)\/3 - (-16)\/6. Which is the third biggest value? (a) r (b) 1\/6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -32943 - -5106267\/155. Let b = v + -8\/31. Let x = 5\/22 - -3\/11. What is the nearest to 1 in b, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand v + 4*v - 3*v + (-1 + 3 - 3)*(-3*v + 0*v + v) - 3*v + v + 4*v + 5*v - 4*v - 3*v + 0*v - 2*v + v - 4*v - v + 7*v + 8*v + 0 + 5 - 3.\nAnswer: 13*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -367 - 1138. Let u be (-4)\/(-5) - (-1849)\/z. Which is the biggest value? (a) u (b) 0.068 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 90.28213 decades in months?\nAnswer: 10833.8556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1699091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 41 a factor of (-20)\/(-50) + (-11)\/(2\/(12678\/(-15)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*i = -34*i + 2*d + 29, -3*i - 4*d = 61 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand b - 2*b + 3*b + (-1 + 3 + 0)*(0 + b + 0) + 1 - 1 - b - 4*b + 0*b + 2*b + 3*b - 4*b + 6*b + (-4 + 0 + 3)*(b - 5*b + 3*b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -g**2 - 12245*g*i**2 + 15*i**2 + 135*i - 2 wrt g?\nAnswer: -2*g - 12245*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 440*f - 60 - 3460 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1370\/(-822))\/((-10)\/216) - -13?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 315 and 6895?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 744 + 532. Suppose -1268*t + s*t = 7352. What are the prime factors of t?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**2 - 7*b - 4. Let q be a(7). List the prime factors of (3 + q)\/(2\/(-66)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28909319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(5*(5*(-1 + sqrt(7)) - (2 + sqrt(7) + 1) - (2 + sqrt(252) - sqrt(252))))**2.\nAnswer: -5300 + 2000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**0)**(4\/11))**(-48)*(u*((u\/u**(-5\/4))\/u)\/u*u\/u**(1\/2))**37 assuming u is positive.\nAnswer: u**(259\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*k + 59*k + 39 - 78 = 0. Is k greater than or equal to 2\/4993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/9 - ((-822)\/54 + 0). Let h be s*(0 - 3\/3). Let i(n) = 2*n + 5. Let f be i(-10). Is f smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -145 - -120033013?\nAnswer: 120032424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o = -504*u + 501*u - 3, -2*o + 1 + 8 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -22 divided by 55?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 184, 4, -3\/2, 6, 3, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 410, 895, 1380?\n\"Answer: 485*o - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*s + 0*s - 2*s)*(-4*s - 6*s + 12*s)*(2*s**3 + s**3 - 5*s**3).\nAnswer: 52*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the third derivative of 79\/3*w**3 - 290*w**2 + 0 + 0*w**4 + 1\/60*w**5 + 0*w**6 - 149\/210*w**7 + 0*w. What is the first derivative of c(x) wrt x?\nAnswer: -596*x**3 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -63.9674655 to the nearest integer.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 5*j + 5. Let v(c) = -c**2 - 13*c - 15. Let z be v(-12). Determine d(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34227503.\nAnswer: 31, 1104113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 1574 divide 1431425506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Subtract -21795056 from -0.018.\nAnswer: 21795055.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f + 6 - 5*f - 5)*(0*f - 2*f + 4*f) + 45*f**2 + 47*f**2 + 61*f**2.\nAnswer: 147*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be 48\/28 - 2\/(-7). Let p = w + -2. Suppose 2*k + p*k - 30 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -32*x**4 + 5013*x**3 + 2*x**2 + 325*x - 18 wrt x?\nAnswer: -768*x + 30078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1001 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:18 PM and 10:04 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -2\/11, -3, -2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/218 and 11\/545.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 0.08, 0.5, 513, 0.1, 3\/4 in decreasing order.\nAnswer: 513, 3\/4, 0.5, 0.1, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 561 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, 3\/5, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 6 = 5*w - 8, -4*w - 3*n = -14. Find the third derivative of -4*j**w + 8*j**4 - j**6 - 8*j**4 wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2*j**2 + 79*j + 274. Let q(s) = -s**2 - 45*s - 136. Calculate 7*q(g) + 4*r(g).\nAnswer: g**2 + g + 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -d**5 - 2*d**4 + 15321*d**3 + 12*d - 9200?\nAnswer: -20*d**3 - 24*d**2 + 91926*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 878 + -878.1. Which is the nearest to g? (a) 2\/5 (b) 0 (c) 7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:47 AM and 8:24 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence avh when three letters picked without replacement from {r: 3, a: 1, n: 1, u: 2, v: 5, h: 1}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 210 + -101200102202212?\nAnswer: -101200102202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1099565447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = -454 + 1730. Calculate the highest common divisor of l and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 6, -10, -5, 20 in decreasing order.\nAnswer: 20, 6, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 1160*z - 402*z = 406*z + 409*z - 1425 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6*(-7)\/63)\/((-15)\/(-855)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 37002*y**2. Let w(h) = 2*h**2. Determine w(s(k)).\nAnswer: 2738296008*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -558633*j - 558624*j - 558636*j + 1675902*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {s: 1, y: 1, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 28\/33 and 425\/20*2\/5?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y + 2 = 32 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-78)\/9)\/(12\/(-18))*11 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) -0.4 (c) -5 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mbl when three letters picked without replacement from {b: 2, m: 1, l: 4, n: 4, j: 3}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 4 + 5*v - 2*v**2 + 0*v**3 + 0 + 0*v - v**3. Let z be h(-3). Let j = -0.2 + -0.8. Which is the nearest to 0? (a) j (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 13 + -166d?\nAnswer: -165a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 + 9*o**2 - 8*o + 4. Let d be l(8). Let v(s) = 4*s - 3*s - d - 2*s. Give v(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = 5, 0 = -2*c - 57*u + 56*u + 1307. Does 75 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3401 (base 12) to base 7.\nAnswer: 22540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25 is divided by 16\/5 + (-60)\/(-75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -121 + 49579?\nAnswer: 49458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 115 is divided by 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, 0, 3.\nAnswer: -5, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6242 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 22*z**4 - 2*z**3 + 45*z. Let f(x) = 67*x**4 - 7*x**3 + 135*x. Let u(m) = -2*f(m) + 7*s(m). What is the second derivative of u(v) wrt v?\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:25 AM and 6:30 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 46*k - 44. Give f(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 + 7 + 2 + -8 + 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(10\/(-5)*27\/(-126)*35).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 3*c**2 - 4*c + 7. Let k(w) = w**2 - 2*w + 3. Let a(y) = -y + 13. Let p be a(18). Calculate p*k(r) + 2*f(r).\nAnswer: r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 21265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*u + 300 - 595 - 81 = 1154 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 49\/5, 0.2, 0 in ascending order.\nAnswer: 0, 0.2, 49\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes after 2:28 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 6, q: 1, p: 2, a: 1, e: 1, s: 4}. Give prob of sequence ssqe.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -7*p**3*r + 879799*p**2*r**3 - 16*r**3 - 3*r**2 + 10*r - 1220 wrt p?\nAnswer: -21*p**2*r + 1759598*p*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 56463 times -0.7?\nAnswer: -39524.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 160 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 6, l: 2, y: 5}. What is prob of picking 1 l and 3 j?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 2 (b) 1\/55 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**3 + 5*m**2 - 7*m - 8. Let r be c(-6). Let j be (1 - 15)\/r - 9\/9. Suppose -2*y + 22 = j. What is the lowest common multiple of 20 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -f + 0 + 12 + 9*f**2 - 25*f + 2*f.\nAnswer: 3*(f - 2)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l = -3*t + 47, 300*l - 40 = 301*l - 7*t - 11 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 919276.9ug to tonnes.\nAnswer: 0.0000009192769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be -6 + 3 - (-382)\/2. Let x = 303 - c. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1 + 8 + -6 + 6. Suppose o = -3*h + 4*o - c, -6 = -h - 2*o. Suppose -4*w - a + 3 + 5 = h, 3*w + 2*a = 1. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*n**2 - 3 + 32*n**2 - 14*n**2 to the form i + x*n + k*n**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:35 PM and 12:07 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 43639367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((16065\/(-42))\/(-45))\/((-1)\/2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 86113843, 86113848, 86113855, 86113864, 86113875, 86113888?\nAnswer: 86113903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -103*p + 10. Let w(i) = -i - 1. Let j(k) = s(k) + 4*w(k). What is the hundreds digit of j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (-3 - -4) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 21468, 21886, 22304, 22722, 23140, 23558?\nAnswer: 23976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 585 and 119210.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 72506 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 11*b**2. Let c(o) = -34589688*o. What is c(a(f))?\nAnswer: -380486568*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 5*q**2 + 7)*(2*q**2 + 0*q**2 + q**2) + (-6 + 6 - 3)*((2*q**3 + 0*q**3 - q**3)*(-4 + 4 - 2*q) + q**4 + 4*q**4 + 5*q**4).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*j**3*z**4 + 127*j**3*z**3 + 2*j**3 - 415*j**2 wrt z?\nAnswer: -12*j**3*z**3 + 381*j**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 324867 divided by -108289.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18698108.\nAnswer: 2, 11, 13, 97, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -95 (base 13) to base 11\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 592 by 4.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -189 = -x - 3*m, -2*m + 4*m - 187 = -x. What are the prime factors of ((-16)\/12)\/(-4)*x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 531513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**2\/7 - 26*p + 3596\/7.\nAnswer: 2*(p - 62)*(p - 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 23 = 3*b - 3*r, 4 = -4*b + 4*r. Let k be (-30)\/(-9)*(-6)\/b + -129. Let q = -54 - k. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -50.69789 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 700*m**6 + 412 - 387*m**2 - 412 wrt m.\nAnswer: 84000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, 0, -18, -140 in ascending order.\nAnswer: -140, -19, -18, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2.3 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/4? (a) 18.0341 (b) 2\/7 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lox when three letters picked without replacement from xxoxxalxo?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 13801 and 8.\nAnswer: 110408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*k**3 - 2 + 2 + 15*k**3 + 5*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**2 - 4*r - 1. Let y be q(4). Let h = 10000 + -10007. Let j be 3 + h - y - (-3)\/1. Put -5, j, -6 in descending order.\nAnswer: j, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u - w + 1059, -3*u = w - 0*w - 795. Suppose h = -h + u. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(117) + -5*sqrt(117)*-2 + sqrt(117) + ((-1*sqrt(117))**2 - sqrt(117))*4 - (3*(-2*sqrt(117) + sqrt(117)) + -3).\nAnswer: 33*sqrt(13) + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -86\/5 - -84\/5. Let u = -0.014 - -1.014. Which is the nearest to u? (a) o (b) -6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u + 1766 = -2*m + 1770, 2*u - m - 7 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -732.9 + 733. What is the fourth smallest value in c, 1, 3, -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1617)\/(-792)*4\/(-7)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**3 + v + 110. Does 43 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3781, 3821, 3861, 3901?\nAnswer: 3941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 + 22201012?\nAnswer: 22201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3575 + 2527. Let y be 4\/22 + k\/(-44). Suppose 0 = -2*f + 6*f - y. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-20)\/(-70))\/(1 + -2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1221675 + -706?\nAnswer: -1222603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-11)\/3 - 5\/15. Let r be (-15)\/((-2)\/w*-3). Suppose -6*d = -d - r. Solve -n + 3 = d*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56012 = 73*d - 117*d. Round d to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 74*s**3 - 25*s**3 - 41*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**2 + 149*s + 124410.\nAnswer: -(s - 435)*(s + 286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -5*o. Let y(u) be the third derivative of u**7\/1260 - u**4\/24 - 13*u**2. Let x(k) be the second derivative of y(k). What is l(x(c))?\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 213, 370, 507, 600, 625?\n\"Answer: -4*q**3 + 14*q**2 + 143*q + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28146281.\nAnswer: 28146281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.12973 - 21.86799. Let s = 22 + p. Round s to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from puuzpcupzcpu. Give prob of sequence zp.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**3 - 7*s**2 - 15*s - 7. Let q be c(-3). What is the first derivative of 4*z - 3 + 28 - 12 + q*z wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 271367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3000817 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**24*q)\/(q*q**28*q*q) assuming q is positive.\nAnswer: q**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is b514 + d92?\nAnswer: c4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 1000100101001001110100 (base 2) to base 5.\nAnswer: 1033434312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 173, -6, 23, -2, 1 in ascending order.\nAnswer: -6, -2, 1, 4, 23, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the third derivative of u**8\/84 + u**4\/12 - u**3\/6 - 71*u**2. Find the second derivative of m(y) wrt y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16562257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1, -2\/7, 6.5, -2?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add 0.2 and -37.\nAnswer: -36.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (22 - 20) + (5 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6425723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-9) + 76\/(-18). Let p = -2 - u. Let x be (-6)\/(-33) - 32\/55. What is the second biggest value in p, -3\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is d in -32\/3 + 14\/3*d + 1\/3*d**2 = 0?\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -1 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.05 + 0.45. Let o be (5\/((-105)\/6))\/2. Let v be (-6)\/(-9) + (-6)\/(-18). What is the biggest value in v, o, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -984 + 984. Solve 5*i - 4*i + 3*f + 16 = j, 5*i - f = -16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -679, -702, -737, -784?\n\"Answer: -6*p**2 - 5*p - 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x - 1. Let c be h(-14). Suppose -4*n - n = s + 8, -4*n + s = 1. Does 8 divide 27\/(n - c\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 50\/(-16) - 153\/(-51). What is the second smallest value in v, -0.13, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -4*d - 19. Let o be r(-6). Let y(w) = o*w - 3*w + 8*w - 3*w. Let g(c) = 2*c**2 - 51 + 51. What is g(y(n))?\nAnswer: 98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 128461242 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 1 + 5 - 5 - 27*n**2.\nAnswer: -27*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -82176 divided by 3.\nAnswer: -27392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 15 (base 12) in base 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 154907552 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 2a32 (base 14) to base 6.\nAnswer: 54404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-12))\/(-2 + 3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((-5*sqrt(117)*-2 + sqrt(117))*-6)**2.\nAnswer: 2038608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.27138 - 0.07138. Let y = 588 - 592.89. Let f = y - 0.11. Sort k, 4\/3, f in increasing order.\nAnswer: f, k, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**2 + 3*c + 2. Let a be f(-2). Suppose 16*n - 13*n - 45 = a. Calculate the remainder when 43 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(1176) + -1*sqrt(1176) + sqrt(1176))*5)\/((sqrt(128)\/sqrt(4))\/sqrt(4)*-3).\nAnswer: -70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 3, l: 3, s: 1}. What is prob of sequence sc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 40680 and 2712.\nAnswer: 40680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2 (b) 6 (c) -15269\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:21 PM and 1:39 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the second derivative of 1\/4*b**2 + 1\/3*b**4 - 1\/2*b**3 + 0 - 2*b - 3\/20*b**6 + 3\/20*b**5. Determine w, given that c(w) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -22237 + 22236.99997809. Round j to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -7*k. Suppose 0 = 4*l + l + 5. Determine o(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18, 4, -28, -84, -170, -292, -456, -668?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0 - -480\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w\/(w**23\/w)*w)\/(w\/(w*w**18\/w)))\/(w*w**(-2\/35)*w**(-3\/26)) assuming w is positive.\nAnswer: w**(-2573\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**3 - 4*a**2 - 2*a - 2. Let u(g) = g. Let q(l) = i(l) - u(l). Suppose -2*b - 5*v - 15 = 3*b, -v + 17 = -4*b. What are the prime factors of q(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (15 - 96) + -2 + -3 - (-18 + 18)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 114 = -4*z, 4*k = 4*z - 172 + 48. Suppose -5*v + 4*d + 26 = 0, -z = -3*v + d + 4*d. Factor 2*u**2 - 2*u**2 - u**v.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -2925, -2923, -2921, -2919, -2917?\n\"Answer: 2*t - 2927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -4*w**2 + 16*w - 31. Give y(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -89 divided by 1\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 8*h**3 - 2*h**2 - 3. Suppose -u + 5 = 4*u. Let p = 1 + u. What is the units digit of s(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 74 divide 61938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2 + 0)*(f - 4*f + 4*f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 20 = i, -4*i + k + 4*k = -25. Suppose -5*s + i = 20, 0 = -4*v - 2*s + 76. Calculate the remainder when v is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i - 3. What is c(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -150, -54, 4.3, -39 in increasing order.\nAnswer: -150, -54, -39, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11 + -8. Suppose 2*k = m*k - 2. Find the second derivative of -r**2 + r**2 - 3*r**2 - r - k*r wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 45\/14 and -61\/223254.\nAnswer: 1562778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3107275709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -r + 14. Suppose -6*y = -r*y - 25. What is y rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 4*i = 140, 269 = 5*m + i - 389. Suppose -j + 548 = m. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 13*(3 - (88\/(-7))\/(-4)). Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*((o\/(o**(5\/4)\/o)*o*o)\/o)\/o*o*o*o**(-1\/4)\/o*o*o)\/((o\/(o\/(o*o\/o**(-1))))\/(o\/((o*o**(2\/75))\/o*o))) assuming o is positive.\nAnswer: o**(221\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the second derivative of 0 - 1\/12*c**4 + 16*c + 1279\/20*c**5 - 1\/3*c**3 + 1\/2*c**2. Is t(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4\/2 - (-7 + 8). Let v = -21 - -31. Calculate the remainder when v is divided by 5\/i + (-1)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*b + 5*b - b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is m in 4*m**3 + 103187416*m**2 + 206374820*m + 103187408 = 0?\nAnswer: -25796852, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -c - c. Let b be (10\/(-6))\/(-5)*c. Suppose k - b = 5. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/4927 and -8\/17979.\nAnswer: 6814041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + i + 2*g - 22 = 0, -g + 41 = 3*i. Let y = i - 6. Suppose o = -2*o + y. Solve 0 = 2*f + h + 13, 5*f + 13 + 6 = o*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2956 - -4586. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -851.1073 + 0.1073. Let q = b - -851.00849. Round q to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (f**3 - f**3 - f**3 - f - 2*f**3 + f + (f**2 + 0*f**2 + f**2)*(3*f + f - 6*f) + 0*f**3 - 2*f**3 + 0*f**3 - 4*f**3 + f**3 + 2*f**3)*(-7006 - 6649 + 1120).\nAnswer: 125350*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -8953*h + 8952*h - 2 + 7 = -4*m, 0 = -5*m - 3*h - 36 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2653960500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 49 and 2450?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/(-2) - (-2)\/4. Which is smaller: 27\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -766558, -766539, -766522, -766507?\nAnswer: -766494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 6) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g**5 - 40947*g**4 + 409713*g**3 - 778653*g**2 - 1229310*g = 0 for g.\nAnswer: -13659, -1, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 8, -0.046, 3?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*y + 10 - 202*y - 2*y.\nAnswer: -199*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -64*q + 82. Let a(c) = 64*c - 75. Let o(u) = 3*a(u) + 4*r(u). Is o(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6637936285.\nAnswer: 5, 41, 32380177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 156\/105*(-645)\/(-1548) - 1\/3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c*c**(1\/2))*c\/(c**(-2)\/c))\/(c\/c**1)**(-31)*((c*c\/((c**(-7)\/c)\/c)*c)\/c**0)**(-9\/2) assuming c is positive.\nAnswer: c**(-101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 71 - 67. Solve h - 2*c = -2, -n*h = -8*h + 2*c - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 687 - 1023. Let s = g + 369. Calculate the remainder when 158 is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 4, y: 3, j: 1, f: 2, a: 2}. Give prob of picking 1 a, 1 y, and 1 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -48 - -27. Which is smaller: o or -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence njy when three letters picked without replacement from ynoonoyonoyyoojy?\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1045*h + 103391*h**2 + 1045*h.\nAnswer: 103391*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 569413294?\nAnswer: 2, 284706647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 758.6043um?\nAnswer: 0.7586043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 34033 is divided by 3953?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.008 and 88334.4.\nAnswer: 88334.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-19 + 88)*(-80)\/9*18\/(-24). Calculate the greatest common divisor of v and 1220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 162919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 175, 732, 1659, 2956?\n\"Answer: 185*n**2 + 2*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the second derivative of s**3\/6 + 9*s**2\/2 + 106*s. Give f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 1 + 0)*(-g + 0 + 0) - 1733*g - 1744*g - 4309*g to the form u*g + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 28.465 rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 7378*b + 14702. Determine v(-2).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -364\/9 at most 6\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -113 divided by 1886394\nAnswer: -113\/1886394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 66397 + -4046. Is g 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 783?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(24)*2 + sqrt(24))*-3)\/(sqrt(2) - sqrt(90)\/sqrt(5)))\/((sqrt(324)\/sqrt(6) - sqrt(6)) + (sqrt(54) - sqrt(270)\/sqrt(5))).\nAnswer: 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/21 - (-24)\/28. What is the common denominator of -29\/30 and w*3 - 3\/((-36)\/(-260))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -5*k + 1. Let u be v(-1). Let z(i) = i + 3. Let q be z(6). What is the highest common factor of q and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 + -2. Let k(p) = -17*p**3 + 8*p**2 - 2*p - 2. Let b be k(-4). Suppose 0 = -d + s + b, 4*s - 1207 = -d - x*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*h**3*i - 1430*h**3 - 9*h**2*i + 5*h**2 - 475*h*i - h - 81*i - 2 wrt h.\nAnswer: 12*h*i - 8580*h - 18*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1066 and 204344.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(144) - (sqrt(144) - 1*sqrt(144)))\/(sqrt(48)\/sqrt(4)*-5).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 136091*l - 176*l**3 - 136091*l - 169*l**3.\nAnswer: -345*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 524, 1076, 1628?\n\"Answer: 552*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3150 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 69981030 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(20)\/(sqrt(10) - (sqrt(10)*2*5 + sqrt(10))))**2*3.\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 368.54623788 take away -0.106?\nAnswer: 368.65223788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-1)\/(-12) + (-26651)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -62 - 57 + 403 - 2*o**2 - 57 - 227.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20637234.\nAnswer: 2, 3, 382171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 57*c**2*d*j - 177*c**2*j**3 - 6867*c*d*j**3 + c*d*j**2 - 12*d*j**2 - 321*j**2 wrt j?\nAnswer: -1062*c**2 - 41202*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 66 (b) 0.07 (c) -0.5 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 17*d - 4. Suppose 0*b - 39 = -3*b. Let o(w) be the first derivative of -4*w**2 + 2*w + 25413. What is b*o(x) + 6*i(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 404437?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**2 + 25*q + 151. Let l be g(-15). Which is the nearest to l? (a) -1\/4 (b) 4 (c) 1\/12 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20720\/(-180) + 4712\/(-5301).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the third derivative of -9*v**2 - 1\/80*v**6 + 1\/8*v**4 - 1\/40*v**5 + 0 + 0*v**3 + 2*v. Let t(z) = 0. What is z?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 1 + 4*r - r - r. Let d be y(-3). Let x = d + 15. Calculate the highest common factor of x and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 9*(-2)\/(-2) - -1. Calculate the remainder when 9 is divided by 52\/k - (-6)\/(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -48 + 93. Let h = -44.99938 + r. Round h to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (28 - 20) + 10\/(-2). Solve 0 = -3*c - 2*i + 4, c = -3*c - g*i + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -35\/24340691?\nAnswer: -35\/24340691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.05689 - 0.04311. Which is the nearest to 0? (a) 5 (b) y (c) -0.5 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 594305155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -2*c**2. Suppose -j + 11 - 12 = -4*k, 3 = -4*k - 3*j. Let h(s) = 2011*s - 2009*s - 4 + 1 + k. Determine y(h(a)).\nAnswer: -8*a**2 + 24*a - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(1\/4)*k*k**(-6)\/k*k*k**2*k*k**3)\/((k*k**(-1)*k)**2\/((k\/((k\/(k*k**(-4\/7)\/k*k))\/k))\/(k\/k**5))) assuming k is positive.\nAnswer: k**(131\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-14)\/(-420)*-20)\/((-20)\/2).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.173 + -0.568. Let f = 0.005 - m. What is the smallest value in 0.5, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 121007 = -56*x + 55*x, -4*x = 5*y - 302516. Suppose y = 39*m - 15*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 112 + -10211001?\nAnswer: -10210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 143 a factor of 52026117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2594*r + 2600*r - 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 81*y**3. Let j(d) = 10*d**3. Give -33*j(h) + 4*v(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7, 8, 19, 46, 95?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 93 divide 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 44101807.\nAnswer: 137, 321911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-22)\/2)\/(1\/(-2)). Let f be (-250)\/(-24) - (-2)\/(-12) - (-129 - -139). Which is the closest to f? (a) t (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:07 AM and 10:08 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 119 * 1.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 8*-19*9\/(-1368)*-17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(76) - ((sqrt(76) + (sqrt(76) - (-1*sqrt(76) - sqrt(76))))*-6 - sqrt(76))) + sqrt(76) + -3*sqrt(76)*-1 + sqrt(76))\/(-6*sqrt(784)*-2))**2.\nAnswer: 18259\/28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 231 and 3197916?\nAnswer: 3197685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i - 3*n + 2*n + 6, -i + 3 = -2*n. Let t be (-13 + 15)*9\/2*6. Suppose -t = -20*f + 66. Sort -4, f, 0, i.\nAnswer: i, -4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -0.113 (b) -3\/4 (c) -2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 327121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 340703 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 * 0.055.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 112 = 2*c + 738, 2*c = -4*l - 586. Let z = -521 - c. Does z = -217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1232 + 2267. Suppose -10*x + t = -5*x. Let j = 347 - x. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2370, 4784, 7218, 9672, 12146?\nAnswer: 14640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*a = -2*a - 24. What is the units digit of a - (5 - 927\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 80 = -5*r, 5*l - 13 = -3*r - 92. Let q = 13 + r. What is q rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) -4\/19 (c) 0.2 (d) 1\/3 (e) 3\/2 (f) -63\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 - 2)*(30 + 0*s - 27 - s).\nAnswer: 4*s - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w + 11 - 13 - 18)*(-4*w**2 + 0*w**2 + 2*w**2).\nAnswer: 2*w**3 + 40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/21671 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 6 + 8. Suppose 0 = g + g - l. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/7, -1\/38, 1, 0.5, 2\/5 in increasing order.\nAnswer: -1\/7, -1\/38, 2\/5, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*b - h + 8, 2*h - 20 = -90*b + 86*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 375, 2995, 10113, 23979, 46843, 80955?\nAnswer: 128565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 134.02 - 121. Let l = -13 + i. Let g = l + -9.22. Round g to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 8*u - 11*u + 207 = 0, 5*u + 89 = 2*l. Suppose 11*i = 8*i + l. What is the remainder when 26 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 455631704 and 1672.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -100 - 62. What is the remainder when o is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -132*r**2 - 22*r - 6. Let a be u(13). Round a to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.42 * -0.146.\nAnswer: -0.06132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1 times -42890356\nAnswer: -42890356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 692880518 divided by -109.\nAnswer: -6356702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 2 = -3*y, -11 = -4*y + 5*n + 17. Calculate the highest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/(-3)*147\/14. Let k(n) = -n**2 + 4*n + 10. Let i be k(z). Let d = i - -25. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -1 + 5 + v - 4. Let y(m) = -15*m**2. Give y(f(a)).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 20*d - 5. Let t(f) = 5*f - 4. Determine -4*p(z) + 5*t(z).\nAnswer: -55*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h - 4*p + 26, -20*p = -21*p + 5. Solve -3*f + 1 = t - 4*f, 3*f - h = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 0, 0 = -8*g + 3*g + 2*f + 95. Differentiate -s + 17*s + g - 21 wrt s.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 0.1320894 kilograms?\nAnswer: 132089.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1351473682.00000017 - -1351473721. Let k = n - 39. What is k rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-150)\/(-4)*(-48)\/(-30). Suppose 4*p + 2*y = 22, -3*y = 4*p + y - 28. Suppose -k + f = p*k. What is the highest common factor of k and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -59*f*g**2 + 2*f*g + 1331*f + 79065*g**2 - 19260 wrt g?\nAnswer: -118*f*g + 2*f + 158130*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) be the third derivative of -k**8\/224 + 169*k**6\/80 - 5954*k**2. Factor v(q).\nAnswer: -3*q**3*(q - 13)*(q + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**3 + 28*h**2 + 51*h - 30. Let g be f(-26). Let o be (-1 - -1)\/g - (-20)\/14. Is 0 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**3\/v)\/v)**(2\/25)\/(v\/v**(-1\/9)*v**(1\/7)) assuming v is positive.\nAnswer: v**(-1849\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -404995 or -405383?\nAnswer: -405383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r**2 + 8*r + 3. Let c be b(-8). Suppose 0 = -c*k - 0*k + 9. Let x = 10219 + -10207. Solve -j = -k*n - 11 - 0, -4*j + x = -4*n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v = -13*r + 9*r + 24, 0 = -3*v - 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -436, -529, -686, -907?\n\"Answer: -32*r**2 + 3*r - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -16*v**2 + 4*v - 3. Calculate x(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5\/92734, 1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -12 + (-2 - 0) + (-47 - -46)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 6*c = 64. Suppose 2*y + c - 42 = 5*b, b + 13 = 3*y. Find the common denominator of b\/14 + 79\/(-140) and -97\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n - 5 + 1. Suppose -j + n*j = 39. Let f(i) = -i**3 + 8*i**2 - 7*i - 4. Let m be f(6). What is the highest common divisor of j and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17373 is divided by 2473?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 10*a + 14*a - 44*a + 11*a - a**2 - 15. Let v be p(-6). Sort 2, v, -3 in descending order.\nAnswer: v, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -6885, -10354, -13823, -17292?\n\"Answer: -3469*u - 3416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 504949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 2955*k + 14743. Calculate i(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14 - 16. Which is the third smallest value? (a) 3\/2 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 3553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 12, 3, 3.171047?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w\/((w*w**(2\/35))\/w)*w)\/(w*w\/w**(-5\/7))*(w**(14\/9)\/w)\/(w**(3\/2)\/w) assuming w is positive.\nAnswer: w**(179\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*q + 1 - 1)*(1 + 5 - 4) + (-5*q + 7*q + 12*q)*((-2 - 1 + 5)*(-1 + 2 - 3) - 1 + 6 + 1) to s + z*q and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + 2*w + 6. Let f(z) = -z + 3*z + 5*z - z. Let c be f(w). What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 170282\/4155813 + 2475162421\/8806167747. Let v = 100\/2119 - s. Find the common denominator of v and -145\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 24 and 10236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 52 divide (-193)\/((-64)\/80 - (-78)\/110)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 209 - 223 = -i. Let r = -46 + 16. Let d = r - -142. What is the greatest common divisor of i and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000392932628 to seven dps.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 21\/72260 and -79\/40.\nAnswer: 144520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 3, -6, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 2*u**2 + 33. Let n(q) = 3*q + 18. Give n(s(w)).\nAnswer: 6*w**2 + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -2*z**2 + 2*z**2 - z**2 + 63. Let y be x(0). Let a be 14\/8*1*4. Calculate the greatest common factor of a and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1566*q**3 + 2692 wrt q.\nAnswer: 4698*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 26 - -58. Calculate the common denominator of (-54)\/(-21)*v\/32 and -37\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -18*d - 10*d + 34*d + (-2*d + 0*d + 3*d)*(5 - 2 - 5) - 12*d - 5*d + 5*d as j + i*d and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7.9 + 8. Let q = 116.29998 + -116.4. Let b = y + q. Round b to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 21 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 4639.843mg in nanograms?\nAnswer: 4639843000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 7*v - 656 = 0. Let z = -110 - v. Calculate the remainder when z is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -365823879 and -3.\nAnswer: -365823882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve k**4\/3 - 2413*k**3\/3 - 34267*k**2 - 758947*k\/3 + 864160\/3 = 0.\nAnswer: -32, -11, 1, 2455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 173.0067 milligrams to tonnes.\nAnswer: 0.0000001730067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3 + 9)*3\/9. Let r be 4 - z - (-22 + 0). Calculate the greatest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 11 + (-184 - (190 - 402))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the second derivative of -5\/2*f**2 + 1\/12*f**4 + 2*f - 1\/2*f**3 + 0. Calculate s(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.925181 kilograms in tonnes?\nAnswer: 0.008925181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 968 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ffwj when four letters picked without replacement from {w: 1, f: 4, j: 4, c: 6, b: 2, t: 1}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1 - 5*9\/(-15). Suppose 3*t + 0*t = -15. Let f be 2\/t + (-749)\/(-35). Solve 2*u + 26 = 5*v, -3*v - u + c*u = -f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = 19*y - 11*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -52 (base 14) to base 10.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2580088183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - m + 12*m + 54 - 6*m - 3*m.\nAnswer: 2*m + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1517 - 10632\/7. Which is the third smallest value? (a) -0.2 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/4*(-256)\/160?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1*((-36)\/(-16) + -2). Solve -u*f + 1\/4*f**2 - 1\/4 + 1\/4*f**3 = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 58274730 and 1085?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 244681471?\nAnswer: 244681471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 5*h + 10 = 0, -q - 2*h + 8 = -6*h. Let c = -14 + 23. Put q, 1, c in increasing order.\nAnswer: q, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*b = z - 158, 60*z - 117*z + 56*z - 18 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (((-832)\/(-336))\/(-13))\/((-4)\/6). Which is the nearest to 0.2? (a) 5 (b) 4 (c) -2\/11 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 688 minutes before 7:02 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*k**2 + 2*k**2 - k**2)*(2*k + k - k + (2*k + 0*k + 0*k)*(-2 + 1 + 2) - 84*k + 3 + 44*k + 37*k) to l*k**3 + i*k**2 + b + h*k and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 15300 + 11843. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**2\/7 + 4*j\/7 + 2\/7.\nAnswer: 2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 + -3. Suppose -3*w - l + q*l = -5, 3*l + 3 = 0. Suppose w*k - 24 = k. Calculate the highest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4*-5*-1*(-18)\/(-36). Let n(r) be the first derivative of r**2 + 12\/5*r + w - 2\/15*r**3. Suppose n(q) = 0. What is q?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 9\/16 of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 6708, 54746, 185140, 439068, 857708?\n\"Answer: 6863*q**3 - 3*q - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - l = 41, -5*r + 2*l + 87 = 18. What is the remainder when 48 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 195 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve f - 65 - 1 = 4*n - 8, 3*f + 9 = -2*n - 27 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 297 - 102 + 1803*p - 89 - 106.\nAnswer: 1803*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:54 PM and 12:19 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - 3*v + m = 5, -2*v = -2*m + 2. Let y be (-248002)\/4 + (-1)\/v. What is y rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 + -54 + 55 + -83 + (2 - (-2 + -10))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6093, -6106, -6133, -6180, -6253, -6358, -6501, -6688?\nAnswer: -6925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 18*v - 5. What is a(6)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 4*h + 14 + 0*h**2 - 6*h**2 + 2*h**2 + 5*h**2. Is m(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 828*k = 821*k + 14. Solve 4*o - 16 = 4*f, -4*f - o - 3 = -k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -13*z - 255*z - 77*z in the form l*z + v and give l.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let 12*q**4 + 296*q**3 - 332*q**2\/3 - 784*q\/3 + 400\/3 = 0. Calculate q.\nAnswer: -25, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ceeegecyegggeef. What is prob of sequence eg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 25167648 and 1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*j - 2*c = 36*j - 6, 5*c = 4*j + 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41305173?\nAnswer: 3, 7, 13, 71, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((-2*sqrt(189))\/(2*sqrt(175)) + -3)*-3.\nAnswer: 9*sqrt(3)\/5 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.476292 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:58 PM and 11:20 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -b**2 - 8 - 2*b**2 + 2*b + 2*b - 14 + 43 in the form h + d*b**2 + i*b and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/7, -1\/8, 0.5, -6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w = -2*d + 20, -d - 2*w = -30 + 35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5.7 - 1.7. What is the smallest value in 5, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 771 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: Four letters picked without replacement from palllpaaaaalal. Give prob of sequence paaa.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-296*u**3 - 6 - u + 295*u**3 + 3*u)*(2 - 2*u - 2).\nAnswer: 2*u**4 - 4*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 363402499 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 9) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 244 a factor of 95160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/524 and -11\/14?\nAnswer: 3668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.4 (b) -347 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 644 minutes after 5:09 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2200 and 15032600?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w + d + d - 2726, 4*d + 6851 = 5*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -630.80631 - -0.00631. Round c to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 88 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 13*z**2 - 13*z**4 - 228*z**3 + 112*z**3 + 113*z**3 wrt z.\nAnswer: -312*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 2 i when four letters picked without replacement from aiaaiiaaaa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -34.16, 0.3, -5, -16?\nAnswer: -34.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1087, -95, -1277?\nAnswer: -2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 31558 + -31544. Suppose 4*f + 60 = f. What is the lowest common multiple of o and (1\/2)\/((-1)\/f)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 6159*b + 0 - 6160*b - 1. Let i(o) = 2*o + 3. Give i(w) + 3*n(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f**2 + 3*f. Let i be t(2). Suppose 102 + 48 = i*d. Solve 5*c + d = 0, -v - v + 4*c + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 + 8. Suppose 0*d - 2*d = m. Let a(r) = -r + 10. Is a(d) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 36a9a55 + -55?\nAnswer: 36a9a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.04 + -1.54. Let q = -4.7 - -5. Which is the third smallest value? (a) 1 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 655 minutes after 5:37 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 19 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 706, -2, -0.1, -1\/71, 2?\nAnswer: 706","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 353 minutes after 11:52 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -775 + 780. Let q = -328 + 329. Sort 2\/15, o, q, -0.5 in decreasing order.\nAnswer: o, q, 2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -5*h**3 - 2*h**2 - 2*h - 1. Let x be d(-1). Suppose -5*b + 7 = -x*t + t, -4*b + 8 = -3*t. Does 10 divide t*(-10)\/4 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**2 - 6*a + 7. Let u be r(5). Let s(j) = u + 3*j**2 + 2*j + j**2 - 8*j**2 + 2*j**3. Let f be 2*(2 + -1 + 0). Calculate s(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 29.00085 - 29. What is i rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6 and 1386.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 3*i**2 + 129*i + 387. Give x(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -14 + 13 + 3*k - 4*k. Let u(o) = 7*o + 6. Determine 4*i(j) + u(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 102\/(-85) + 76\/55?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/147 and -115\/4312?\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2733 is divided by 301?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dqlvp. What is prob of sequence qvl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u + 6. Suppose w - 2*w = 8. Let t be o(w). Suppose 2 = 2*k + 3*x, 5*x - 877 + 871 = -4*k. Solve 0 = -q + 5*i + 5, i + t = k*q - 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 2*x**2. Let a(s) be the first derivative of -s**2 + 52*s - 17. Determine z(a(i)).\nAnswer: 8*i**2 - 416*i + 5408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6977210 is divided by 521?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.05 or -222692.9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.15299 and 5.\nAnswer: 4.84701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 3*r**5\/4 + 87*r**4\/4 + 234*r**3 + 1104*r**2 + 1920*r = 0. What is r?\nAnswer: -8, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nk when two letters picked without replacement from {k: 7, n: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -2921*l. Let p(c) = 73*c. What is -4*o(z) - 161*p(z)?\nAnswer: -69*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -179 + 479. Let m = 16 + -13. Suppose -m*c = 2*c - t. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9853?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 189872.769 to the nearest one hundred.\nAnswer: 189900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -26, -54, -80, -104, -126, -146, -164?\n\"Answer: d**2 - 31*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -77478, -154940, -232378, -309780, -387134, -464428?\n\"Answer: 2*x**3 - 77476*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (132 - 99 - 494)*(-1 - 10 - 38)*(-2*w - 1 + 1) as t + z*w and give z.\nAnswer: -45178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 4819856 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7031.\nAnswer: 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(5 + -5*(-2 + (-5 + sqrt(242)*-1)**2)) + -5.\nAnswer: -6605 - 2750*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33165 is divided by 754?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 - 17 = 4*v. Let k be ((-24)\/126)\/(2\/v*3). Let b(n) = -2*n**2 - n. Let q be b(-1). What is the closest to q in 0.4, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 238*h + 246*h - 4*h**3 + 178*h**2 - 178*h**2 - 484*h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 4 - 122*g + 128*g + 21 + 3. Give p(9).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 76117997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 50599*w**3*z**3 + w**2*z**3 + 17*z**3 - 5*z - 6 wrt w?\nAnswer: 151797*w**2*z**3 + 2*w*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 72773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/a**(-3\/5))**(-8\/9) assuming a is positive.\nAnswer: a**(-64\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(3\/5)\/u)\/((u\/(u**(-2\/3)\/u))\/u))**(-1\/13) assuming u is positive.\nAnswer: u**(31\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 7040 = 2*r, -4*h = -0*h + 2*r - 9386. List the prime factors of h.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = 57 - 67. Let b(d) be the first derivative of 3*d**2\/2 + 3*d + 185. Calculate b(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 76320 and 25188780?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -60 + 40. Let t = -16 - a. Is t at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 5*h = 3585, 6*h = -3*o + h + 2141. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11557 - 3279. What is the derivative of -35*x - o + 8224 - x wrt x?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the second derivative of 16*i**3 + 7*i - 7 + 85\/12*i**4 + 0*i**2. Find the second derivative of v(h) wrt h.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -13.08 - -14. Let u = n + -0.52. What is the closest to -1 in -0.6, u, -1\/4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20479*x + 10445*x + 5886 = -10252*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s\/(s**(-7)\/s))*s**(-2\/7))\/(s**(-1\/6)\/s**(-9)) assuming s is positive.\nAnswer: s**(-719\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1094 - -1039. Let j(v) = v**2 - v. Let d(l) = -22*l**3 + 55*l**2 - 55*l. Calculate c*j(y) + d(y).\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((h*(h*h\/(((h\/(h**1*h))\/h*h*h)\/h*h)*h)\/h)\/h)\/(h\/h**0))**(-1\/46))**45)**(-3\/4) assuming h is positive.\nAnswer: h**(135\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 116*r + 578. Let c(s) = -26*s - 128. What is -22*c(t) - 5*l(t)?\nAnswer: -8*t - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**3 + 128*q**2 - 654*q + 1479. Determine b(-133).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-9)\/(-27) + (-17)\/(-3). Suppose 197 + 37 = f*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-6*(sqrt(448) + -1)*-4 + 4 + 1*(sqrt(448) + 1))**2.\nAnswer: -280361 + 7600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 11 + 32 + (-42)\/6. Calculate the greatest common factor of 116 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.7 - -0.3. Let u be (1 - 621\/(-15))\/(12\/30). Let m = u - 952\/9. What is the smallest value in m, f, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -311, 0.0963, -2\/27, 1, -5?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - 5 - -22 - (-3 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-674)\/(-26) - (2 - 2). Let i = x - 10991\/429. Let y = 31621\/3906 - 81\/217. What is the common denominator of i and y?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -305 + 289 - (-22 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 2*m**2 + 6*m - 1. Let j be s(-3). Sort 68, -5, j.\nAnswer: -5, j, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.103 - -1394186?\nAnswer: 1394185.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 91.5 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**2 + 13*s + 18. Let u be n(14). Suppose -u*t + 9 = -11. Solve 0 = t*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8*(-9)\/12 - (19 + (-1770)\/150).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n. Let v(q) = 6*q + 5. Calculate 5*c(y) - v(y).\nAnswer: -y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve z = -5*h + 11, 0 = 5*h + 33*z - 23*z + 115 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1 take away -256322?\nAnswer: 256321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i*i\/(i**6\/i))\/(i*i**(-1\/8))*(i*i*i\/(i*(i*i**(-3)*i*i)\/i*i))\/i**(-1\/6))\/((i**4*i**(1\/10)*i)\/(i**(-6)*i**0)) assuming i is positive.\nAnswer: i**(-1417\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y**3 + 11*y**2 + 4*y - 36. Let h be o(11). Solve -8*k = -6*k + h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor a**2\/7 - 130*a\/7 - 10659\/7.\nAnswer: (a - 187)*(a + 57)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t + 160 = 124 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 37*d. Let w(x) be the third derivative of x**6\/180 + 5*x**3\/3 + x**2. Let r(y) be the first derivative of w(y). Give r(s(n)).\nAnswer: 2738*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.44907309 - 12.\nAnswer: -11.55092691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 + 2040?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 363a8 (base 12) to base 7.\nAnswer: 423140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5.98 + -5.58. Which is the nearest to 1? (a) 3\/8 (b) -0.3 (c) j (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, -5, 373, -3\/58 in descending order.\nAnswer: 373, 1\/3, -3\/58, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 229.04673ns?\nAnswer: 0.0000000038174455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.160193 - 983279?\nAnswer: -983278.839807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*c = -66 + 10. What is the common denominator of -85\/66 and (-2)\/c - 45\/54?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58137 is divided by 9684?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, f: 3, g: 7, e: 2, i: 1, m: 3}. Give prob of sequence mecf.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify t*t\/(t*t**(-1\/14)*t)*t\/(t*(t*t\/(t*(t\/t**10*t*t)\/t))\/t*t)*t\/(t\/(t\/(t*t**3)))*((t**(-12)\/t)\/t)\/t assuming t is positive.\nAnswer: t**(-377\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 3*b = 4*o, 2*o = 2*b. Let t(j) be the second derivative of -1\/10*j**5 + 4*j + o*j**3 + 0 + 0*j**4 - 3\/2*j**2. Differentiate t(m) with respect to m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 41152231 * 0.2\nAnswer: 8230446.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*b**2*c + 4*b**2 + 225*b*c + 3*b - 253*c + 61 with respect to b.\nAnswer: -6*b*c + 8*b + 225*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-1)\/((-3)\/(-9)))\/1. Put l, 1, 6 in ascending order.\nAnswer: l, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 6 + -723?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u - 45 = 8*u. Is 4 + -2895*((-12)\/(-5) + u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v = 4*o - 40, 54*v - 52*v + 8*o = 48 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 15*m**2 + 53*m - 201. What is x(4)?\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*1*8\/12.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1\/(-3))\/((-3)\/9). Let v = s - 1. Suppose v*j - 4*j = 4, -3*j - 7 = -2*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2405, -2405, -2399, -2381, -2345?\nAnswer: -2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4 + -19.1.\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 3 - d**2 - 3. Let f(q) = -304*q - 300*q + 598*q. Give f(z(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 4, n: 1, f: 2, c: 1, j: 3}. What is prob of sequence xfxn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12 - -10)\/(22\/88).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 52255\/72 - 6572\/9. Let o = l + 29\/6. Let m = -3238.1 - -3238.2. Sort 1, -4, m, o in decreasing order.\nAnswer: 1, o, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -297.77 + 295.77. What is the nearest to r in 0.068, 2, -5?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 2*z - 9 = 9, 5*z = 5. Suppose 2*l - 46 = u. Let x = 28 - l. Solve 3*d = 2*k - 0*k - 15, -4*d = x*k + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in -1861, 0.04, 3, -8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = -3*p - 3. Let l be (-6)\/(-4) + (-60)\/p. Let a be (-3)\/l*6\/5. What is the closest to 0 in a, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2509 + -2471.13. Let a = f - 0.87. Let s = 37.00043 - a. What is s rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -56 + 83. Let l = 27.00001 - d. What is l rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 22*c. Let h(l) be the third derivative of 1\/60*l**5 + 0*l**3 + 0*l**4 + 0*l + 0 + 6*l**2. What is h(g(t))?\nAnswer: 484*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 2 = -4, -5*c - 2658 = 3*y. Let a = -7951\/9 - y. Is -1 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 894416501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*k - 11*k - 3*z + 5940 = 0, 0 = -4*k + z + 7915. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9 and 3986071?\nAnswer: 35874639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*j**2 - 32*j**2 + 66*j**2 + 3*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**2 - x + 1. Let k be 144\/28 - 7\/49. Let i(z) = -3*z**2 - 5*z + 2. Calculate k*m(l) - i(l).\nAnswer: -2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that 4*a**4 - 1896*a**3 - 5884*a**2 + 75984*a + 160272 = 0.\nAnswer: -7, -2, 6, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54727114 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**2 + 13*y + 8. Suppose 0*i + 5*i - 35 = 0. Let s be (4 - i - 6)*-1. What is the tens digit of g(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 772256 divided by 193064?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f - 4. Let m be g(-8). What is the units digit of 2\/(m\/18 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 4165, 4167, 4169?\n\"Answer: 2*g + 4163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -2, 1, 13346, -2\/13, 3 in decreasing order.\nAnswer: 13346, 3, 1, -2\/13, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-1\/2)\/j)\/j*j*j**(-4)*j**(-2\/3)*j**0*(j**(1\/4)\/(j\/j**(-2)))\/(j\/((j**(2\/7)*j)\/j)*j*j**(-1)\/j*j) assuming j is positive.\nAnswer: j**(-809\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2585931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 81 = -u, 4*u - 102 + 418 = -4*q. Let g = u - -114. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2024 and 15088?\nAnswer: 165968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -43 divided by -43\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.28 - -0.08. Sort k, 1\/4, -1 in descending order.\nAnswer: 1\/4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (4 - 6) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -702, -1107, -1376, -1509, -1506, -1367?\nAnswer: -1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that 500*z**3 - 1885\/2*z**2 - 75 - 40*z**4 - 1135\/2*z = 0.\nAnswer: -1\/4, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 85211 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -608*u - 299*u + 913*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -207 - -349. Let x(y) = 9*y**2 + 142 - b. Let v(a) = -4*a. Let t(h) = 5*h. Let q(g) = -3*t(g) - 4*v(g). Calculate x(q(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 122 divide 418582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 165 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times -134771\nAnswer: -13477.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -2013 (base 6) to base 7.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*k**3*y**3 - 4*k**3 - 2*k*y**2 - 42*y**3 wrt y.\nAnswer: -24*k**3 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 32 - 4. Let w = -27.8 + a. What is the smallest value in -0.5, w, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/328 and -101\/154.\nAnswer: 25256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1910101240 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -877*u - 135 + 1747*u - 3389 - 873*u to j + q*u and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r**3 - 3*r**2 - 31*r + 21. Let z(p) = p**2 - 57. Let m be z(8). Let k be g(m). Put -5, k, -4 in ascending order.\nAnswer: -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*c + 24*c + 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 4, p: 2, m: 2, e: 1, u: 4, y: 6}. What is prob of sequence ypep?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -150*u = -109*u - 382 - 397 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-3\/8)*f\/(f\/f**3*f))**(-10\/3)\/(f**(-2\/3)*f**(2\/7))**(-3\/4) assuming f is positive.\nAnswer: f**(-479\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - -2 - (-19 + 28 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**2 + 4*z + z**2 - 4*z + 2 + 3*z. Let x be m(-2). What is the second derivative of -6*r - r**2 + x*r + 3*r**2 - r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -41 + 45. Suppose -3*l - 12 = -4*i, 0 = i + 4*l - 0*l - 22. Let y = 3 + i. Solve g - y = -3*g + 3*n, 2*g = 2*n + h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 4*m + 8 = 0, -3*g - 2*m = -5*m - 18. Suppose -18 = -0*r + 3*r. Let i be ((-4)\/r)\/(4\/42). Solve g = -5*y + i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 319*f + 334*f - 645*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = 5*a - 74, 4*a + 10 = 5*a + 2*x. Sort a, 2, 5 in descending order.\nAnswer: a, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 124958 and 135129?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-2)\/(-3) + -6 + (-2050)\/(-30) is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 9*(8\/6 - 1). Let z(m) be the third derivative of -1\/90*m**5 + 15*m**2 + 0 + 1\/540*m**6 + 0*m + 1\/945*m**7 + 2\/27*m**y - 1\/108*m**4. Factor z(x).\nAnswer: 2*(x - 1)**2*(x + 1)*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 2*r + 4)*(4 - 7 - 8) to the form n*r + l and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 41 + -39. Suppose -4*p = -0*x + 4*x - 1052, 5*p + d*x - 1318 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8022 and 191.\nAnswer: 8022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 17856 and 11271600?\nAnswer: 45086400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -9*i**3 + 2*i - 2*i - 5*i**2. Let m = -1 + 4. Let x(b) = 2*b**2 + 5*b**m - 2*b**3 + b**3. Calculate -2*k(d) - 5*x(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r + 1207*n - 1206*n + 5 = 0, -2*r + n + 2 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 3 + 15 = 0. What is the units digit of 22\/10*(b - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40\/24*(285174\/5 + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand i**2 - 4*i**2 + i**2 + (-2 - i + 2)*(3*i + 0*i - 2*i) + 0*i**2 - 2*i**2 + i**2 + 68 - 9*i**2 - 68.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 1626*y + 25864. What is h(-16)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:13 AM and 1:31 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -90*f**3 + 1362*f**2 - 146*f - 491. Calculate q(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -65 at most -63550\/967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 + 9 + 12 - 2*n - 24 - n**2 = 0. What is n?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 398 minutes after 10:32 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 289 + -293. Let h(l) = 2*l**3 + 70*l**2 - 138*l + 78. Let v(s) = s**2 + 2*s + 3. Let q(u) = a*v(u) + 2*h(u). Factor q(g).\nAnswer: 4*(g - 1)**2*(g + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4969827, -9939676, -14909525?\nAnswer: -19879374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q = 174*d - 873, 58*d - 11 = -q + 56*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 118603029 by 3.\nAnswer: 39534343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the second derivative of 268*p + 19\/6*p**7 + 0*p**5 + 0*p**6 + 0 - 14*p**3 + 0*p**4 + 0*p**2. What is the second derivative of c(s) wrt s?\nAnswer: 2660*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11423883, 11423898, 11423915, 11423934, 11423955?\nAnswer: 11423978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 1\/4, -4.5, -135, -0.4, -1\/6?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 103748 equal to -0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2685 and 8130.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((sqrt(78) - (-3*sqrt(78) + sqrt(78)))\/sqrt(6) - sqrt(13)) - sqrt(156)\/(sqrt(192)*5).\nAnswer: -41*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*d + 12*d + 0 + 0 - 16*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -11\/5? (a) -4 (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 62 - 62 - 19*c**4 + (2 - 2 + 2*c**2)*(-c**2 + 0*c**2 + 3*c**2) + 2*c**2 - 2*c**2 + 2*c**4 + 4*c**2 + 27*c**4 + 8*c**2 - 10*c**2.\nAnswer: 14*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 j and 1 i when four letters picked without replacement from jjjjjjjjijjjjijjjjjj.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 214, 215, 216?\n\"Answer: z + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 345\/(-40) + (19 - (-5 + 15)). Factor 3\/8*u**2 + 0 - y*u.\nAnswer: 3*u*(u - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4686344 is divided by 2343165.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -3*w**2 - 25*w + 22. Let v be b(-9). Suppose -n = -v*n - 13560000. What is n rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -15*d + 12*d - 5*c + 1129 = 0, -2*d + 5*c = -711. Calculate the greatest common divisor of 80 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -2*p**2 - 9*p - 3. Let n be m(-4). What is the derivative of -5*f**3 + 5 + 2*f**3 - n wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -1, 1, 15939, 4, -3 in decreasing order.\nAnswer: 15939, 4, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/l**(1\/20))**(-18)\/(l**(-8)*l\/l**33*l) assuming l is positive.\nAnswer: l**(219\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -u**2 + 2391*u - 2391*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:23 PM and 12:39 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 + -4.6. Let d = -1 + n. Let f = 4.6 + d. Sort f, -3\/5, 3 in ascending order.\nAnswer: -3\/5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2\/(-6))\/((-2)\/18). Suppose 3*z = -3*c + 12, -3*z - 5*c + 9 = -3. Factor -o**3 - o**y - o**z + o**3.\nAnswer: -o**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d + 7. Let t be q(-3). Solve -t = -y - y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1537 and 7337?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j = 428 - 1310. What is the remainder when j is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*z = 5*z + 50. Suppose -t = -4*y + 4, -z = 2*t + 5*y + 63. Let i be t\/(-9) + 6\/(-9). Solve -i*u - 3 = w + 4, -3*w = 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 14, 3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**2 + 9*z - 16. Let v be m(-11). Let i be (3\/v)\/((-5)\/(-60)). Solve -o = 2*o - i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) be the second derivative of -o**4\/6 - 7*o**3\/6 - 7*o**2\/2 + 23*o. Calculate l(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 33*z**4\/7 + 864*z**3\/7 - 5157*z**2\/7 - 7104*z\/7 - 1116\/7 = 0.\nAnswer: -31, -1, -2\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -123 (base 6) to base 15\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1073096, 2146194, 3219292?\nAnswer: 4292390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7741354897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*w + 30*w - 567 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 893692.4 milligrams in micrograms?\nAnswer: 893692400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (68 + 37 - 27)*(-2*l + l - 2*l)*(4*l + l - 3*l).\nAnswer: -468*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = -30 + 390. What is the hundreds digit of ((-14)\/(-5))\/(3\/(d\/3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/17 (b) -0.22 (c) 114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -179*o - 2633 wrt o.\nAnswer: -179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 293448824.\nAnswer: 2, 47, 83, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 - 2. Let d be 154\/5 - v\/(-5). What is d rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(0 - 12\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -10542*q**2 - 47*q + 209. Let j be g(13). Round j to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i - 48*s - 590104 = -590206, -3*i - 2*s - 5 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 58295.\nAnswer: 5, 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*p**3 - 2 + 2)*(-4*p + 4*p + 5*p) as j*p + u + y*p**3 + n*p**4 + w*p**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -11, 2, -2 in descending order.\nAnswer: 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 311484372 is divided by 2215.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 19251 or 19250?\nAnswer: 19251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -66, -64, -62, -60, -58, -56?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be 42\/189*18\/7. Factor -5\/7*q**2 + 8\/7*q + 1\/7*q**3 - i.\nAnswer: (q - 2)**2*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 745589879 to the power of 1\/2, to the nearest integer?\nAnswer: 27305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -21*z**5 + 178*z**4 - 633*z - 14.\nAnswer: -420*z**3 + 2136*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**2 + 20. Let w = 21 + -13. Suppose -2*j - 2*s = -w, 0 = 5*j + 3*s - 6*s + 4. What is the smallest common multiple of j and q(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 217*((-4)\/60 + (-185)\/(-525)). Solve o + 58 = -30*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -367\/6 + 185\/3. Factor 1\/2*o**3 - l*o**5 + 1\/2*o**2 - 1\/2*o**4 + 0 + 0*o.\nAnswer: -o**2*(o - 1)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 11 + 16 = -4*v, 3*z = 3*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 2*f**2 + f + 1. Suppose 0 = 4*i + 2*w - 56, i = -4*w - 0*w + 7. Let d = 12 - i. What are the prime factors of r(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -85112*o**4 + 251261 with respect to o.\nAnswer: -340448*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u = 3*m - m + 12, 3*m + u = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 26 = -3*h, -w + 2*w = 3*h - 14. Suppose 4*j - 42 = 2*m, m = -j - 0*m + h. Let i = 844 - 839. Calculate the smallest common multiple of j and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1162 and 2324?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z**3 + 5*z**2 + 2*z - 5. Let p be u(-4). Suppose 0 = 4*t - b - 53 + 36, 0 = 5*b + 25. Suppose t*x + 93 = -3*g + 6*g, 2*g - 61 = p*x. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3659167021228280\/9559755387 + -22764\/11672473. Let z = -382768 + g. Let f = 2\/819 - z. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the third derivative of -d**8\/2184 - 73*d**7\/273 - 6983*d**6\/156 - 19653*d**5\/26 - 72090*d**4\/13 - 285156*d**3\/13 + 11*d**2 - 2*d + 16. Factor m(i).\nAnswer: -2*(i + 3)**3*(i + 178)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 8, l: 4, w: 4}. What is prob of picking 2 w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 176.3 take away 0.15?\nAnswer: 176.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1*3\/9*0. Let s be -4 - f\/(-2 + 1). Let j(t) = -t**2 - 5*t + 4. List the prime factors of j(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.34 + -1.04. Which is the second biggest value? (a) l (b) 1 (c) 0.4 (d) 5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1117 divide 504786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*s = 102*s + 280. Which is the nearest to 6? (a) -2 (b) s (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(315)\/sqrt(324))\/(sqrt(20)\/(-3*sqrt(4))))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4293 - 1572. Let y = 21731\/8 - u. Find the common denominator of 151\/24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-3*(sqrt(147) - (0 + sqrt(147) + 4)**2) + (sqrt(147) - (sqrt(147) + 0 + 2) - (-1 + sqrt(147)*1))).\nAnswer: 420*sqrt(3) + 1464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 4*c + 64. Let p = 55 + c. What is the remainder when p is divided by 8 - 1 - (-2 + -11 + 14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -2*v. Let r(w) be the third derivative of -19*w**6\/360 - 3*w**4\/8 + 17*w**2. Let c(z) be the second derivative of r(z). Determine c(f(g)).\nAnswer: 76*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 58673.73 microseconds?\nAnswer: 58.67373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -128.063 - -0.063. Let i = 657797777 - 657797649.0000073. Let x = p + i. What is x rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(99)*-2*-2)\/(sqrt(324) + (sqrt(324)*-2 - sqrt(324) - sqrt(324))*3).\nAnswer: 10*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 8*m**3 + 1273*m**2 + 7*m - 34. Let h(k) = k**3 + 182*k**2 + k - 4. Determine 15*h(u) - 2*o(u).\nAnswer: -u**3 + 184*u**2 + u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/839 and 64\/9?\nAnswer: 7551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -806 + 1249. Let i = o + -442.797. Round i to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4458*j**3 - 1455*j?\nAnswer: -26748*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3*(-22)\/176)\/(((-2808)\/64)\/27).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -27 - 12150\/(-126) - (-8)\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.131 (b) 0.02 (c) 3\/16 (d) -4\/123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 34+-1.078\nAnswer: 32.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 158 times -267.5\nAnswer: -42265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v - 13 - 21. Suppose 5*c - v = 91. Solve 4*n + 5 = c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6883?\nAnswer: 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0123174 - -1.3.\nAnswer: 1.3123174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0*(-4)\/20*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1373888069 a multiple of 4177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -20 - -24. Suppose 5*u - q*u = 0. Differentiate 12 - 5 + u*v**4 + 4*v**4 wrt v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -50 (b) -5 (c) 4 (d) 11 (e) -4 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.4188 + -59.4188. Sort u, -30, 3.\nAnswer: u, -30, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ogdadaogodddgadaofwo. What is prob of picking 2 o and 1 d?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*b - 8028 = -7868 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -13175*o**3 - 5*o**2 - 2*o + 14886754 wrt o?\nAnswer: -39525*o**2 - 10*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r - 5*w + 13 + 124, -2*r - 123 = 3*w. Let p be -24*(r\/15 + 9\/15). Is p greater than 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) -5 (b) 5 (c) 16 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.0072 - -72.8072. What is q rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -131302212100 (base 4) to base 5\nAnswer: -3444400144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -10*b - 5*b + 20*b - 9*b - 8. Let c be k(-6). Suppose -c + 5 = -h. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 655 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x. Let j(n) = 50210*n. Give j(d(r)).\nAnswer: 50210*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*(q\/((q*q\/q**(-2\/31))\/q))\/q)**(-43) assuming q is positive.\nAnswer: q**(86\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 87*h + 18. Let p(l) = -88*l - 21. Let d(r) = 7*i(r) + 6*p(r). Let f(v) = -322*v. Let c(u) = 23*d(u) + 6*f(u). Let n(s) = -2*s. Determine c(n(t)).\nAnswer: 138*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*y**2 - 56680*y - 160631120.\nAnswer: -5*(y + 5668)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -1974468 = 1304*d - 1815380 for d.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1053162104*y**2 + 809012068*y.\nAnswer: 2106324208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -88*l**2 - 65*l**2 - 81*l**2 - 2*l - 87*l**2 + 75 + 326*l**2 in the form k*l**2 + g + s*l and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (0 + 29)*(-175 + 189)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 - 68 = -3*k. Let v(j) = -j**2 + 14*j - 5. Let o be v(k). Which is the nearest to -2\/5? (a) -7 (b) o (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c*c*c\/(c*c*c\/(c**(-1)\/c*c))))**(-31\/4) assuming c is positive.\nAnswer: c**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12481317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13\/((-104)\/(-32)) + 417 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 935 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 284*v = -1805 + 101. Let j(k) = -k**3 - 5*k**2 + 7*k + 6. Suppose i = -2*i - 18. Let o be j(i). Put o, 3, v in increasing order.\nAnswer: v, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 822 is divided by 233.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 1\/33, -2 in increasing order.\nAnswer: -2, 1\/33, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the first derivative of -3*o**5\/14 - o**4\/84 + 23*o**3\/42 - 3*o**2\/7 - 90*o + 183. Let x(v) be the first derivative of t(v). Solve x(m) = 0.\nAnswer: -1, 3\/10, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*z = -131*z + 678 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 614570926 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1824 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 4*s = -8*x + 250, -221 = -4*x - s. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -ad4ea (base 15) in base 10?\nAnswer: -551245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9 + -8. What is the third biggest value in -2\/9, 4, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 5*k = 6*k. Let o(r) = -r**2 + 51. Let a be o(k). Let p = 185 - a. Calculate the smallest common multiple of p and 20.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 - ((-1246)\/(-16) + 1). Let p = s - -77. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 493979?\nAnswer: 493979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f - 3*u - 7 = 0, u - 1 = 2*f - 0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 42*g - 19. What are the prime factors of a(6)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44 minutes before 9:36 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.47 times 0.4?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-114 - (-89 - 54)) + -101\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 - 6*o**2 + 4. Let l be p(-6). Let j = 6350 + -6346. Solve 0*d - 4*d = 3*r + l, d = j*r + 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1 + (-10)\/8 + 442\/136. What is the first derivative of -80*y**v - 123 - 10 + 7*y**3 - 10 + 13 wrt y?\nAnswer: -219*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -l = 0, 46*l - 10 = -5*z + 51*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -2\/937?\nAnswer: -2\/937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 plus 19.203854328?\nAnswer: 18.903854328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 4*k**3 - 4*k**2 + 6*k - 1. Suppose 0 = -y - 2 + 6. What is the hundreds digit of h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -408, -478, -596, -786, -1072, -1478, -2028, -2746?\n\"Answer: -4*p**3 - 42*p - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 * 40.5.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j - 308 = -5*y, -3*y - 1028 = 22*j - 17*j - 680 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 132*i**2 - 284*i + 72. Give j(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 12206 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -97\/31768 + -3\/361. Let y = -179\/264 - d. Sort -4\/5, y, -0.05, 0 in ascending order.\nAnswer: -4\/5, y, -0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1, -3, 301913 in increasing order.\nAnswer: -3, -1, 0, 301913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 2*z**3 + 2*z**2 - 1. Let w = -10 + 15. Suppose -12 + 2 = w*i. Determine k(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1, -1\/9, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 5*s**3 - 1. Let x(q) = -3*q**3 - 6*q**2 - 2*q - 6. Let f(u) = -13*u**3 - 25*u**2 - 7*u - 25. Let d(b) = -2*f(b) + 9*x(b). Let c be d(-3). Give t(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = -q + 8626 + 75051, 3*q = 6. Does 179 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 91\/76 + -18\/19. Let o = 4.97 - -0.03. What is the nearest to y in 0.5, o, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -22122020 - -200101?\nAnswer: -21221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-2\/7)\/(h**(7\/4)*h))**(6\/19) assuming h is positive.\nAnswer: h**(-255\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8671684*f - 8671684*f + f**3 + 812*f**2 - 812*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 24*g + 1. Let h be j(12). Let v = 295 - h. What is the greatest common divisor of v and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - 19 = -4*o - o, -3*x - 27 = -5*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 5144016101 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -91 + 91.095. Let o = 0.395 - b. What is the closest to 0 in -32, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2350 and 52?\nAnswer: 61100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 644 minutes before 8:30 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 10\/20*24\/(-10)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 38, 370, 982, 1874?\n\"Answer: 140*x**2 - 88*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 270 by 19.\nAnswer: 270\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*v**2 + 7*v**2 - v**2 + 7*v**2 + 3*v**2 - 4*v**2 + (v - 1 + 1)*(-7*v - 7 + 7).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23155?\nAnswer: 5, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -14 (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -202, -200, -198?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1891*a**2 - 1915*a**2 + 3813*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -532 and -1160.\nAnswer: 617120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 387 + -266. Let s = 254 + -136. Let t = h - s. What is the closest to -6 in t, -2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 - -1)\/(-1) - (-90)\/45. Let g be (-12 - i)*28175\/(-21). What is the remainder when (-2)\/(-3*2) + g\/138 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -2\/21, 4\/7, 1, -1\/9, 66?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that j**3\/4 + 9353*j**2\/2 + 3477937*j\/4 - 231623475048 = 0.\nAnswer: -12377, 6048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 40063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -348247\/22 - -15832. Let i = -167 - -2671\/16. Find the common denominator of i and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 641933191 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.005 take away 439.1767?\nAnswer: -439.1817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4\/6*(-7)\/(-14) + 380\/3 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2*j - 7. Let s be r(6). Suppose 2*t - 35 = s*v, -t = 4*t + 5*v. Suppose l = -h + 12, 62 + 1 = t*h + 2*l. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9807251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-1\/8)*j**(2\/81))\/((j**(-4\/13)\/j)\/(j\/(j*j\/(j\/(j\/j**(-25)))*j))) assuming j is positive.\nAnswer: j**(-217277\/8424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -394 - -407.7. Let b = -57.6 - -71. Let t = b - f. What is the second biggest value in 2, 12, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19983809 is divided by 385.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let y = -20 + 19.906. Round y to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -318269 or -318268?\nAnswer: -318269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**2\/2 - 8196*u - 1414995\/2.\nAnswer: 3*(u - 5549)*(u + 85)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -168, -416, -736, -1128, -1592?\n\"Answer: -36*d**2 - 140*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 72831439?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = 4*q - 44, 36 = 4*q - 0*q + 3*t. Let n = q + -9. Suppose -5*r = -n*r + 10. Which is the second biggest value? (a) -2\/3 (b) -1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5\/(-15) - 3046\/(-3)?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 36235 and 645.\nAnswer: 4674315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 32292416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1410\/(-40) - (-30)\/2520*21?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -4074 (base 8) to base 4\nAnswer: -200330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 849500751?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 268892 is divided by 26844.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d - 6*d + 20. Let r = -3 - -6. Let x = r - 2.9. Put 1, d, x in decreasing order.\nAnswer: d, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 6*k**2 + 12*k - 5. Let v(c) = c**2 + 2*c. Let x(u) = 3*v(u) - z(u). Suppose 5*w + 10 = 3*w. Determine x(w).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 313, 1232, 2763, 4906, 7661, 11028, 15007?\nAnswer: 19598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 70 + -68. Suppose 14*q - 17*q = -3. Which is smaller: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 + 3. Suppose -5*s = -m - 5, -2*s + 18 = 4*m - 3*s. Let z = 912\/7 + -130. Which is the second smallest value? (a) z (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j. Let a(v) = 9*v - 18 - 6*v - 34. Let l be a(21). Let r(u) = -l*u + 7*u + 35*u. What is b(r(f))?\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from issiiiisissiissiisss. What is prob of sequence isi?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(288) + 0 + -1.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five halves of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(-2)*(-48)\/(-18). Suppose 1 = -i*t + 17. Let g(y) = 4*y - 6. Determine g(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -374 + 374. Which is the smallest value? (a) n (b) -4 (c) 0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1213247\/78 + -15554. Let x = 2\/39 + c. Factor -1\/2*r**3 + 1\/2*r**5 + 1\/2*r**2 + 0*r + 0 - x*r**4.\nAnswer: r**2*(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1518406 at least as big as 1518348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -4, -24, 2, -5 in decreasing order.\nAnswer: 2, -2, -4, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 + -5)*(-49 + 4485\/92)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 22874 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -4*18\/(-160)*100\/150\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes after 1:40 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -9? (a) 1\/12 (b) -0.3 (c) 4 (d) -1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5\/23 - -163\/115. Let h = 5 - 4. Which is greater: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -4*p**3 + 4*p**2 + 2*p**2 + 3*p**3 + 8*p - 2. Let s be h(7). Let u be (1\/40*-26 - 26\/(-65))\/1. Which is the nearest to u? (a) -2\/13 (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3000265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**3 - 8*z**2 + 6*z + 9. Let g be l(7). Suppose -g*r = -0*r. Solve -2*j = -8*t + 3*t + 13, j - 5*t + 14 = r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 158*r + 718 = 27*r - 2819 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10817 is divided by 1160?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 2*i - 5)*(-9 - 3*i**4 + 9)*(2 + 0 - 5).\nAnswer: 18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.0604 + -0.0604. Put 3, -0.022, y in descending order.\nAnswer: 3, y, -0.022","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 83 = y + 521, 5*y + 2*h + 2182 = 0. Let g = 439 + y. Factor -8\/5 + 8\/5*o**2 + 2\/5*o**g - 2\/5*o.\nAnswer: 2*(o - 1)*(o + 1)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 109 = m + 105 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**3 + 3*n**2 + n - 10. Give x(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the first derivative of -9*l + 16*l**2 + 17 - 7*l**2 - l**2 - 7*l**2. Calculate o(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x**2 - 7*x. Suppose 10 - 14 = n - 2*t, n + 2*t = -8. Give a(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3.27 - 0.27. Let p = 3 + -2. Put p, 0.2, m in descending order.\nAnswer: m, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}